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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-21-15901-2021</article-id><title-group><article-title>Exploring the sensitivity of atmospheric nitrate concentrations to nitric acid uptake rate using the Met Office's Unified Model</article-title><alt-title>Sensitivity of nitrate to nitric acid uptake rate</alt-title>
      </title-group><?xmltex \runningtitle{Sensitivity of nitrate to nitric acid uptake rate}?><?xmltex \runningauthor{A. C. Jones et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jones</surname><given-names>Anthony C.</given-names></name>
          <email>anthony.jones@metoffice.gov.uk</email>
        <ext-link>https://orcid.org/0000-0002-3894-2867</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hill</surname><given-names>Adrian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Remy</surname><given-names>Samuel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4584-4157</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Abraham</surname><given-names>N. Luke</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3750-3544</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Dalvi</surname><given-names>Mohit</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hardacre</surname><given-names>Catherine</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hewitt</surname><given-names>Alan J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1919-1751</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Johnson</surname><given-names>Ben</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3334-9295</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Mulcahy</surname><given-names>Jane P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0870-7380</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Turnock</surname><given-names>Steven T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0036-4627</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Met Office, Fitzroy Road, Exeter, EX1 3PB, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>HYGEOS, Lille, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Centre for Atmospheric Science, Leeds, LS2 9PH, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Chemistry, University of Cambridge, Lensfield Road,
Cambridge, CB2 1EW, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Met Office Strategic Research Group, School of
Earth and Environment, University of Leeds, Leeds, LS2 9JT, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Anthony C. Jones (anthony.jones@metoffice.gov.uk)</corresp></author-notes><pub-date><day>26</day><month>October</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>20</issue>
      <fpage>15901</fpage><lpage>15927</lpage>
      <history>
        <date date-type="received"><day>12</day><month>May</month><year>2021</year></date>
           <date date-type="rev-request"><day>8</day><month>June</month><year>2021</year></date>
           <date date-type="rev-recd"><day>20</day><month>August</month><year>2021</year></date>
           <date date-type="accepted"><day>30</day><month>September</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e191">Ammonium nitrate is a major aerosol constituent over many land regions and
contributes to air pollution episodes, ecosystem destruction, regional haze,
and aerosol-induced climate forcing. Many climate models that represent
ammonium nitrate assume that the ammonium–sulfate–nitrate chemistry reaches
thermodynamic equilibrium instantaneously without considering kinetic
limitations on condensation rates. The Met Office's Unified Model (UM) is
employed to investigate the sensitivity of ammonium nitrate concentrations
to the nitric acid uptake coefficient (<inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) in a newly developed
nitrate scheme in which first-order condensation theory is utilised to limit
the rate at which thermodynamic equilibrium is attained. Two values of
<inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> representing fast (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.193</mml:mn></mml:mrow></mml:math></inline-formula>) and slow (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>) uptake rates are tested in 20-year global UM integrations. The global burden of nitrate associated with ammonium in the “fast” simulation (0.11 Tg[N]) is twice as great as in the “slow” simulation (0.05 Tg[N]), while the top-of-the-atmosphere radiative impact of representing nitrate is <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the fast simulation and <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the slow simulation. In general, the fast simulation exhibits better spatial
correlation with observed nitrate concentrations, while the slow simulation
better resolves the magnitude of concentrations. Local near-surface nitrate
concentrations are found to be highly correlated with seasonal ammonia
emissions, suggesting that ammonia is the predominant limiting factor
controlling nitrate prevalence. This study highlights the high sensitivity
of ammonium nitrate concentrations to nitric acid uptake rates and provides
a novel mechanism for reducing nitrate concentration biases in climate model
simulations. The new UM nitrate scheme represents a step change in aerosol
modelling capability in the UK across weather and climate timescales.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e286">Air pollution poses a significant hazard to human health and to the
environment worldwide. In 2016, 90 % of the global population was
exposed to pollutant concentrations in excess of World Health Organisation
(WHO)-defined safe levels, resulting in <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> million premature
deaths (WHO, 2020). Specific human health conditions arising from air
pollution exposure include lung cancer and cardiopulmonary disease, and
deleterious impacts also extend to ecosystems (e.g. eutrophication, loss of
biodiversity, acid deposition), building and infrastructure erosion, and
impaired atmospheric visibility and regional haze (Kucera and Fitz, 1995;
Monks et al., 2009; Lovett et al., 2009; Xu et al., 2019). Solid or liquid particulate matter
(PM) is a significant component of air pollution, and particles with
diameters less than 2.5 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (i.e. PM<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) are particularly harmful
to human health. Lelieveld et al. (2015) estimate PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>-related global
mortality to be 3.3 million deaths per year in 2010, far greater than the
second deadliest air pollutant, ozone (<inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 142 thousand deaths
per year). Sources of air pollution differ with region; in northern Africa and
the Middle East, the predominant source is<?pagebreak page15902?> naturally emitted dust; in
Europe, agricultural activity; and in Southeast Asia, residential energy
production (Lelieveld et al., 2015).</p>
      <p id="d1e338">Secondary inorganic ammonium (<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), sulfate (<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and nitrate (<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) aerosol form a major part of PM<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> composition in the Northern Hemisphere (Jimenez et al., 2009). Ammonium is predominantly emitted as ammonia (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) gas by agricultural sources such as mineral fertiliser
application and volatilisation of livestock manure, biomass burning, and from
oceans (Bauer et al., 2016). <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from agriculture have
dramatically increased since the discovery of the Haber–Bosch process for
extracting reactive nitrogen from its stable atmospheric form (<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in
the early 20th century. The corresponding <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-based fertiliser
revolution led to significantly enhanced global food production and a
population explosion from 2 billion to 7 billion people (Smith et al., 2020).
However, reactive nitrogen deposition from fertiliser usage is now 20-fold
higher than it was before the industrial revolution, leading to
environmental degradation (Xu et al., 2019). <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is formed from atmospheric
nitric acid (<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), itself an oxidation product of nitrogen oxides
(<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is primarily emitted from anthropogenic fossil fuel burning (21–28 Tg N yr<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) but has natural sources including soil emissions, biomass burning, and lightning (12–35 Tg N yr<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Seinfeld and Pandis, 1998; Vinken et al., 2014). <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exacerbates
air pollution via two pathways – by <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol production and by net <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production in the presence of sunlight and volatile organic
compounds (VOCs) (Crutzen, 1970). <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the oxidation product of
sulfur dioxide (<inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), which is primarily emitted by anthropogenic
processes such as fossil fuel combustion, petroleum refining, and metal
smelting (Zhong et al., 2020). Natural <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources include volcanic
degassing and the oxidation of reduced natural sulfurous compounds such as
dimethyl sulfide (DMS) (Carn et al., 2017). Global anthropogenic <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions have steadily declined from a peak of <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> Tg S yr<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the 1980s to <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">52</mml:mn></mml:mrow></mml:math></inline-formula> Tg S yr<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2014, owing to
clean air regulation instigated to mitigate adverse <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> impacts such as
acid rain and also for human health benefits (McDuffie et al., 2020; Zhong et al., 2020). Global <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions peaked in 2010 at <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> Tg N yr<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with emissions growth from 1990–2010 driven by rapid
industrialisation in Asia and intensified international shipping, but have
decreased by 7 % over the 2010s, owing primarily to traffic emission
control measures in China (McDuffie et al., 2020).</p>
      <p id="d1e678">In the troposphere, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is involved in a complex diurnal photochemical
cycle involving VOCs and <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The dominant <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> removal mechanism
during daytime is via oxidation by hydroxyl (OH) radicals to form <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Seinfeld and Pandis, 1998). At night-time, <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is unable to photolyse
and the dominant <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> removal mechanism is via reaction with <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to produce the <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical, which further reacts with <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form dinitrogen pentoxide (<inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), which heterogeneously reacts with water (<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) to produce <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Atkinson, 2000). <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is highly
soluble and rapidly dissolves in water droplets or is neutralised by
<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form aerosol. <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is oxidised in the aqueous phase by
dissolved oxidants such as <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and hydrogen peroxide (<inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and in the gas phase by OH to form non-volatile <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Seinfeld
and Pandis, 1998). <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> react with <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to
produce ammonium sulfate (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and semi-volatile ammonium nitrate (<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) aerosol
respectively, with <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> neutralisation taking precedence owing to
the lower vapour pressure of <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Hauglustaine
et al., 2014). In a slower process, <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also condenses irreversibly onto
existing dust and sea-salt aerosols, forming calcium nitrate (<inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and sodium nitrate (<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) salts
respectively (Li and Shao, 2009). Owing to the prevalence of anthropogenic
<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources, particulate <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a major component of
urban air pollution. For example, in Europe <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> constitutes 17 % of
urban PM<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> aerosol by mass (Putaud et al., 2004), while <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can comprise 75 % of PM<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in air pollution events in Salt Lake City (Womack et al., 2019).</p>
      <p id="d1e1142">Nitrate aerosol has an enigmatic history within the climate modelling
community owing to the complexity of modelling <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> neutralisation by
<inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the semi-volatility of <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
aerosol. In the inorganic aerosol system, gaseous and particulate
equilibria are reached at different rates due to evolving temperature and
acidity constraints and the variability in gaseous uptake with particle
size (Myhre et al., 2006; Benduhn et al., 2016). Although complex dynamical and “hybrid dynamical” schemes that fully or partially resolve the chemistry of inorganic aerosol exist (e.g. Jacobson, 1997; Feng and Penner, 2007; Zaveri
et al., 2007; Benduhn et al., 2016; Xu and Penner, 2012), they remain computationally
expensive – owing to the numerical stiffness of the inorganic system –
when compared to schemes that assume thermodynamic equilibrium is reached
instantaneously (Nenes et al., 1998). Most of the current crop of
nitrate-resolving global climate models (GCMs) and some regional climate
models (RCMs) assume the instantaneous thermodynamic equilibrium
approximation (Liao et al., 2003; Myhre et al., 2006; Bauer et al., 2007; Bellouin et al., 2011;
Hauglustaine et al., 2014; Paulot et al., 2016; Bian et al., 2017; Rémy et al., 2019). Dynamical
models have the advantage of capturing natural phenomena where the inorganic
aqueous system is outside of (or slow to reach) equilibrium, e.g. in
low gas concentrations, low temperatures, high relative humidities (RHs), and
for condensation onto coarse particles (Wexler and Seinfeld, 1990; Benduhn
et al., 2016). Thermodynamic equilibrium models typically overestimate the
fraction of <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the coarse mode; for example, in one study <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> associated with fine-mode <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was underestimated by
25 % compared to a hybrid-dynamical model (Feng and Penner, 2007).
However, the additional computational expense of using dynamical approaches
has motivated the climate modelling community to seek pragmatic solutions to
represent <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol in GCMs and RCMs.</p>
      <?pagebreak page15903?><p id="d1e1245">GCM simulations suggest that the present-day direct radiative forcing from
<inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (global mean <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) amounts to a quarter of the
<inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forcing on a global-mean basis (Myhre et al., 2006; Bauer et al., 2007; Bellouin et al., 2011; Hauglustaine et al., 2014). <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol burdens are widely
projected to increase over the 21st century as a result of stricter <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions regulations and continued elevated <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions,
which would reduce the <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> available for neutralisation and
concomitantly liberate <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> formation
(Bauer et al., 2007; Bellouin et al., 2011). Consequently, <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may become the
dominant aerosol species in terms of radiative and urban air pollution
impact by the end of the century, depending on future emissions of <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Hauglustaine et al., 2014). Such <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration
enhancements may be effectively mitigated on a regional basis by judicious
regulation targeting anthropogenic <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and/or <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Bauer
et al., 2016). However, climate models disagree as to whether near-surface
<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations will increase or decrease in future climate and on
the correct partitioning between <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the fine mode (associated with <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and coarse mode (associated with dust and sea salt) (Bian et al., 2017). Many of the uncertainties in <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> projections
emanate from different treatments of the <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gases in
models, with Bian et al. (2017) highlighting wet deposition as a particularly
sensitive process. Additionally, the vertical distributions of <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are poorly constrained by observations, which adds to uncertainty in
<inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> projections (Paulot et al., 2016).</p>
      <p id="d1e1567">The emerging conclusion from observations and from the burgeoning literature
on nitrate modelling is that ammonium nitrate poses an increasingly
significant health hazard through urban air pollution (e.g. DEFRA, 2012) and
via deposition to nitrogen-saturated ecosystems (Li et al., 2016); they potentially
could become a major climate forcing agent as <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations wane
(Hauglustaine et al., 2014). The impetus for explicitly representing <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in GCMs is clear, even by using simple thermodynamic equilibrium
approaches which bypass temporal nuances in the gas–particulate
partitioning. The Met Office Unified Model (UM) has previously incorporated
a thermodynamic-equilibrium ammonium nitrate scheme in the CMIP5-generation
climate model Hadley Centre Global Environment Model version 2 (HadGEM2-ES)
(Bellouin et al., 2011). This nitrate scheme – developed within the single-moment
Coupled Large-scale Aerosol Simulator for Studies in Climate (CLASSIC)
aerosol framework (Bellouin et al., 2011) – continues to be utilised for online
air quality forecasts across the UK in the operational Air Quality Unified
Model (AQUM) (Savage et al., 2013). However, the CMIP6-generation state-of-the-art
United Kingdom Earth System Model version 1 (UKESM1) which incorporates the
Global Atmosphere model vn7.1 (GA7.1) (Walters et al., 2019) replaced the
single-moment CLASSIC aerosol scheme with the double-moment Global Model of
Aerosol Processes modal (GLOMAP-mode) scheme which currently omits ammonium
nitrate (Mann et al., 2010; Mulcahy et al., 2020). Mulcahy et al. (2020) attributed a negative
bias in aerosol optical depth and mass burden over Northern Hemisphere
continents in UKESM1 to the missing <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The
hybrid-dynamical nitrate scheme developed by Benduhn et al. (2016) in the
stand-alone GLOMAP-mode model is not currently implemented in the UM. This
has provided the Met Office with fresh impetus to develop a simplified
thermodynamic equilibrium nitrate scheme within the GLOMAP-mode framework
for interim use in the UM and possible implementation in future generations
of UKESM, in order to address the gaps in modelled <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
with their respective observations. The nitrate scheme may garner further
utility if AQUM or its successor transitions to utilising the GLOMAP-mode
aerosol scheme rather than CLASSIC (Hemmings and Savage, 2018).</p>
      <p id="d1e1648">In this paper we describe the development and testing of a simple
thermodynamic equilibrium nitrate scheme in the UM and explore the
sensitivity of the scheme to a key parameter that is poorly constrained by
observations – the <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient on aerosol surfaces
(<inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>). Specifically, most models assume that <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations reach thermodynamic equilibrium instantaneously
without considering kinetic limitations on the condensation of <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or
<inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> onto existing aerosol particles, as is considered here. This is the
first study to investigate the sensitivity of <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations to the <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient and provide an efficient
method for reducing <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration biases in GCMs. The UM nitrate
scheme reported here comprises fine <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol in the
Aitken, accumulation, and coarse soluble modes and coarse <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
representing <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol associated with dust and sea salt in the
accumulation and coarse soluble modes. <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mostly remains
in the Aitken and accumulation modes and thus the moniker “fine” is
appropriate. The scheme was originally developed by Hauglustaine et al. (2014)
for use in the LMDZ-INCA climate model and then adapted for ECMWF's version of
GLOMAP-mode by Rémy et al. (2019), following which it was kindly provided to the
Met Office for adaptation to the UM. In Sect. 2.1, we describe the
configuration of the UM used to test the new nitrate scheme. In Sect. 2.2,
we describe the thermodynamic equilibrium nitrate model in detail. In
Sect. 2.3, we describe the simulations performed in this study. In Sect. 3, we evaluate the model using surface and satellite observations and
investigate the sensitivity of the model to perturbations to a key parameter
– the <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient (<inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) – in a manner analogous to
Bauer et al. (2004). In Sect. 4, we discuss the utility of the nitrate scheme
and provide a roadmap for future development and integration within UKESM.</p>
</sec>
<?pagebreak page15904?><sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The Met Office Unified Model (UM)</title>
      <p id="d1e1840">The nitrate scheme was originally developed using the UM with the science
configurations Global Atmosphere vn7.1 (GA7.1) and Global Land vn7.0 (GL7.0)
(Walters et al., 2019). Although the UM can be run at various resolutions, the
resolution used here is the climate configuration N96L85, i.e. 1.875<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
longitude by 1.25<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude with 85 vertical levels up to a model lid
at 80 km, with 50 levels below 18 km altitude, and a model time step of 20 min (Walters et al., 2019). Further details of the UM configuration are provided in Sect. S1 in the Supplement.</p>
      <p id="d1e1861">In the model configuration used here, GA7.1 includes the United Kingdom
Aerosol and Chemistry (UKCA) model which simulates atmospheric composition
in the Earth System, with UKCA chemistry called once per model hour in
N96L85, although emissions are evaluated every model time step (Archibald et al., 2020). UKCA is coupled to the GLOMAP-mode aerosol scheme, permitting a
holistic and prognostic treatment of aerosol and chemical processes over the
entire atmosphere (Mann et al., 2010; Mulcahy et al., 2020). The coupled UKCA and
GLOMAP-mode model is widely referred to as UKCA-mode. The Met Office's
Hadley Centre Global Climate version 3.1 (HadGEM3-GC3.1) model – the
physical basis of UKESM1 – uses a simplified UKCA chemistry configuration
with important oxidants (<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OH, <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) prescribed as
monthly-mean climatologies (Walters et al., 2019; Mulcahy et al., 2020). This is of
insufficient complexity for ammonium nitrate aerosol, given the importance
of missing gases (i.e. <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and precursors) and chemical
reactions. Instead the combined Stratosphere–Troposphere version 1.0
(StratTrop1.0) chemistry scheme, which is included in UKESM1 (Sellar et al., 2019) and described in detail by Archibald et al. (2020), is utilised here. Although not mentioned in Archibald et al. (2020), gaseous ammonia (<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is
a passive tracer in StratTrop1.0, while gaseous nitric acid (<inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is
the product of various atmospheric chemical reactions (see Table S1 in the
Supplement). Further details of the nitrogen chemistry in StratTrop1.0 is
provided in Sect. 2.2. Gaseous dissolution in cloud droplets is modelled
using the effective Henry's law framework, with UKCA uniformly assuming a
fixed cloud water pH of 5.0. We address the assumption of a fixed pH in Sect. 4. Values required to calculate the effective Henry's
law coefficients are specified as <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (298 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, 1.23, and <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> M atm<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> respectively, and <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>H</mml:mi><mml:mo>/</mml:mo><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8700</mml:mn></mml:mrow></mml:math></inline-formula>, 3020, and 0 K<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for
<inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> respectively (Archibald et al., 2020). The
values for <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are comparable to AeroCom phase III values given in
Table 5 in Bian et al. (2017).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2119">Properties of the aerosol size distribution in the nitrate
UKCA-mode setup including the size range of the modes, the geometric
standard deviation, and the permitted aerosol species in each mode. Species
include sulfate (<inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), black carbon (BC), organic matter (OM),
and sea salt (SS) as well as the newly added ammonium (<inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitrate (<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and coarse nitrate (<inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Adapted from Table 1 in Mulcahy et al. (2020).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Aerosol mode</oasis:entry>
         <oasis:entry colname="col2">Geometric mean</oasis:entry>
         <oasis:entry colname="col3">Geometric standard</oasis:entry>
         <oasis:entry colname="col4">Species</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">diameter <inline-formula><mml:math id="M164" display="inline"><mml:mover accent="true"><mml:mi>D</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> (nm)</oasis:entry>
         <oasis:entry colname="col3">deviation <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Nucleation soluble</oasis:entry>
         <oasis:entry colname="col2">1–10</oasis:entry>
         <oasis:entry colname="col3">1.59</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OM</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aitken soluble</oasis:entry>
         <oasis:entry colname="col2">10–100</oasis:entry>
         <oasis:entry colname="col3">1.59</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, BC, OM, <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Accumulation soluble</oasis:entry>
         <oasis:entry colname="col2">100–1000</oasis:entry>
         <oasis:entry colname="col3">1.4</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, BC, OM, SS, <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coarse soluble</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2.0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, BC, OM, SS, <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aitken insoluble</oasis:entry>
         <oasis:entry colname="col2">10–100</oasis:entry>
         <oasis:entry colname="col3">1.59</oasis:entry>
         <oasis:entry colname="col4">BC, OM</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2443">GLOMAP-mode is a prognostic double-moment aerosol scheme that carries
aerosol mass and number concentrations in four soluble lognormal modes spanning
sub-micron to super-micron sizes (nucleation, Aitken, accumulation, and
coarse), as well an insoluble Aitken mode (see Table 1) (Mann et al., 2010;
Mulcahy et al., 2020). The variable size distribution allows the median dry
radius to evolve within prescribed size brackets, while the lognormal
standard deviation or “mode width” is held fixed. GA7.1's default
GLOMAP-mode configuration includes the aerosols sulfate (<inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), black
carbon (BC), organic matter (OM), and sea salt (SS), with species in each
mode treated as an internal mixture. Mineral dust is represented in GA7.1 by
the CLASSIC six-bin scheme described by Woodward et al. (2001). Aerosol water
content is simulated prognostically using the Zdanovskii–Stokes–Robinson
(ZSR) method, allowing for a more accurate representation of aerosol–cloud
interactions and aerosol radiative impact than in CLASSIC. The direct
aerosol radiative effect is modelled using UKCA-RADAER, which utilises
pre-determined look-up tables of Mie extinction parameters based on aerosol
size and composition (Bellouin et al., 2013).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Nitrate model</title>
      <p id="d1e2465">In addition to the standard aerosols in GA7.1 – <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, BC, OM, and SS – ammonium (<inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitrate (<inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and coarse nitrate (herein denoted <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for convenience) are added to a new UKCA-mode setup which comprises 28 aerosol tracers in total (Table 1). Note that “<inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” refers solely to <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> associated with <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, while “<inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” refers
to <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> associated with dust and sea salt. <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass is
emitted into the Aitken and accumulation soluble modes and may be
transferred to the coarse soluble mode via aerosol processing, while
<inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is limited to the accumulation and coarse soluble modes.
Nitrate chemistry is evaluated once per model time step within the UKCA
emissions-control routine. The nitrate model closely follows Hauglustaine
et al. (2014) and Rémy et al. (2019) with subtle yet important differences. An exhaustive step-by-step methodology is provided in the Supplement (Sects. S2 and S3) and outlined below.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Ammonium nitrate production</title>
      <?pagebreak page15906?><p id="d1e2609">Fine-mode ammonium nitrate production is evaluated before the condensation
of <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> onto coarse aerosols (e.g. sea salt and dust), because smaller
particles generally reach thermodynamic equilibrium faster (Hauglustaine et al., 2014; Benduhn et al., 2016). Firstly, the sulfate neutralisation state
(<inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is determined from the total moles
of ammonia (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close="}"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close="}" open="{"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>) and total moles of sulfate (<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close="}"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>) using Eq. (1) (Metzger et al., 2002).
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M196" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8.2}{8.2}\selectfont$\displaystyle}?><mml:mfenced close="" open="{"><mml:mtable class="array" rowspacing="5.690551pt 5.690551pt" columnalign="center center center"><mml:mtr><mml:mtd><mml:mn mathvariant="normal">2</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">1.5</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">1</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            The moles of ammonia available for neutralisation of <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> following the irreversible production of ammonium sulfate is then <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. If all free ammonia is
consumed by the neutralisation of <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), then no new nitrate is formed. However, if ammonia is available (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), then the equilibrium constant (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) of the ammonia–nitrate system (Eq. 2) is determined using the parameterisation of Mozurkewich (1993) (see Sect. S2). In this formulation, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is solely a function of temperature and deliquescence relative humidity (DRH), with DRH following the parameterisation of Seinfeld and Pandis (1998).
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M204" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mover><mml:mo movablelimits="false">⟷</mml:mo><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mover><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula>
            The equilibrium concentration of ammonium nitrate is then calculated using
the formulation from Seinfeld and Pandis (1998). Letting <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denote the
total molar concentration of nitrate (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close="}"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close="}" open="{"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>), if the available nitrate
and ammonia suggest that Eq. (2) is in the forward
direction, thereby promoting the condensation of <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), then the equilibrium
concentration of <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is solved using Eq. (3). Otherwise, if free
ammonia or nitrate concentrations are limited such that <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, then all existing ammonium nitrate
aerosol evaporates, and the corresponding mass is transferred to the gas
phase <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M215" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mfenced close="}" open="{"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">eq</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced close="]" open="["><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:mo>-</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            The ammonia–nitrate system may not reach equilibrium within a standard GCM
time step owing to transport limitations between the gas and aerosol phases
(Wexler and Seinfeld, 1990). The time taken to reach equilibrium depends on
ambient temperature and RH, as well as the aerosol size and uptake coefficient
(<inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>), where the uptake coefficient is defined as the number of gas
molecules condensing on a particle divided by the number impacting onto the
particle surface. Ackermann et al. (1995) find that equilibration time (<inline-formula><mml:math id="M217" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>) may range from <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> min for particles with diameters of 0.1 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> h for diameters of 0.5 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>,
depending on the uptake rate. Rémy et al. (2019) assumed a globally uniform
equilibration time of <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> min in their nitrate model. Here the
uptake rate <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is determined for each aerosol mode online
(Aitken, accumulation, and coarse soluble) using the first-order uptake
theory of Schwartz (1986) and by applying the Fuchs and Sutugin (1970)
correction factors for molecular effects and for limitations in interfacial
mass transport (Eqs. 4–7).

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M224" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>D</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:msub><mml:mi>A</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msubsup><mml:mi>d</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:msup><mml:mfenced close="]" open="["><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:msub><mml:mi>D</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow><mml:mi mathvariant="italic">υ</mml:mi></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:msub><mml:mi>D</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow><mml:msqrt><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:msqrt></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">Kn</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mi>D</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="italic">Kn</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">0.47</mml:mn><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="italic">Kn</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              Equations (4)–(7) determine the molecular diffusivity coefficient (<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
m<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), the mean free path (<inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>, m), the Knudsen number
(<inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">Kn</mml:mi></mml:math></inline-formula>)., and the modal condensation or uptake rate (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
m<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) respectively. Constants in the algorithm include the
Avogadro constant <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.022</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">23</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> mol<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the gas constant of dry air <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.314</mml:mn></mml:mrow></mml:math></inline-formula> J mol<inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the molar mass of dry air <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.029</mml:mn></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
the molar mass of <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.063</mml:mn></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the molecular diameter of dry air molecules <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> m, and the reactive uptake coefficient (<inline-formula><mml:math id="M244" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) for <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Variables in Eqs. (4)–(7) include the air temperature <inline-formula><mml:math id="M246" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (K) and air density <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (kg m<inline-formula><mml:math id="M248" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). In Eq. (5), <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="italic">υ</mml:mi></mml:math></inline-formula> is the mean molecular speed (m s<inline-formula><mml:math id="M250" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The total equilibration time <inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (s) may then be related to the inverse of product of the uptake rate for one particle <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and the
aerosol number concentration <inline-formula><mml:math id="M253" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> using Eq. (8). Note that ammonium nitrate
production is limited to the Aitken and accumulation modes in this study,
which is reflected in the formulation of <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>.
              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M255" display="block"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">ait</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ait</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">acc</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">acc</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
            Rather than assume instantaneous thermodynamic equilibrium in the
ammonia–nitrate system, the model assumes an exponential decay of the gas
phase towards equilibrium using the equilibration time <inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (see Sect. S2.4). This approach has also been used by Ackermann et al. (1995), Makar et al. (1998), and Rémy et al. (2019). Figure S2 shows the results of applying the above algorithm for <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> (with <inline-formula><mml:math id="M258" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> set
to 0.193 following Feng and Penner, 2007) to monthly-mean aerosol and
meteorology output from example UM integrations. Over many land regions,
<inline-formula><mml:math id="M259" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is approximately 2 min near the surface and increases to
<inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> min at a model level height of 3000 m. Therefore,
assuming a constant value of <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> min, as assumed by Rémy et al. (2019), may significantly overestimate the rate which the ammonia–nitrate system approaches equilibrium, particularly at higher altitudes and over maritime regions. For example, in a 20 min time step the ammonia–nitrate system would move 99.995 % of the way from initial conditions towards
equilibrium with <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> min assuming exponential decay, but only 86 % of the way with <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> min and 33 % of the way with <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> min.</p>
      <p id="d1e4205">For standard atmospheric conditions (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> scales approximately linearly with
the reactive uptake coefficient <inline-formula><mml:math id="M271" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>, for <inline-formula><mml:math id="M272" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> from 0.001 to 0.2
and for particle diameters between <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>
(Fig. S3). The uptake rate increases on a
particle-by-particle basis with diameter, for example, ranging from 0.2 s<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to 5 s<inline-formula><mml:math id="M280" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> when <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> and when <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is normalised by <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M286" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. However, atmospheric Aitken mode number concentrations generally
exceed accumulation mode concentrations, particularly over populous land
regions and increasingly with altitude. Exceptions to this include near the
surface over high-latitude maritime regions, Amazonia, and much of
Australasia, where accumulation number concentration exceeds Aitken
concentrations on an annual-mean basis in the UM. In example UM
integrations, the ratio of accumulation to Aitken uptake
(<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">acc</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">acc</mml:mi></mml:mrow></mml:msub><mml:mfenced close="" open="/"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">ait</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ait</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> decreases on a global-mean basis from 8 at the surface to 1.4 at a model level height of 3000 m, but it is effectively unity at the surface over key <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>- and <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-emitting regions such as the USA, Europe, and South Asia (Fig. S4).</p>
      <p id="d1e4541">Uptake rates (<inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, Eq. 7) are determined for the Aitken and
accumulation modes by using the modal geometric-mean dry diameters for <inline-formula><mml:math id="M291" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> in
Eqs. (4)–(7), which are first corrected for hygroscopic growth using the
RH-dependent parameterisation by Gerber et al. (1985). This simplified “modal” approach differs from Hauglustaine et al. (2014), who divide aerosol size modes
into sub-bins. If the available nitrate and ammonia suggest that the
equilibrium of Reaction (R2) is in the forward direction, thereby promoting the condensation of <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), then mass is transferred from the gaseous reactants <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the Aitken and accumulation soluble modes using the above algorithm. Otherwise, if <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msubsup><mml:mi>T</mml:mi><mml:mi mathvariant="normal">A</mml:mi><mml:mo>*</mml:mo></mml:msubsup><mml:msub><mml:mi>T</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, then <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociate, and all <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mass in the Aitken to coarse soluble modes is instantaneously transferred to
the gas phase. Ammonium nitrate chemistry primarily involves condensation
and evaporation (Makar et al., 1998; Benduhn et al., 2016), although Wang et al. (2020) have
shown that <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can condense onto nanoparticles and thus
contribute to nucleation events, which may be of importance in urban
settings and at high altitudes. In this model, aerosol number concentrations
are not altered explicitly by nitrate chemistry (assuming condensation and
evaporation are more important than nucleation) but may change indirectly
due to altered coagulation and mode-merging rates arising from the
additional aerosol mass. This approach differs from Hauglustaine et al. (2014) and Rémy et al. (2019), who assume that new particles are nucleated by the production of ammonium nitrate.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Coarse nitrate production</title>
      <p id="d1e4776">Following <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production and the associated update
to <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, the first-order uptake parameterisation
described by Eqs. (4)–(7) is further employed to model the irreversible uptake of <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on sea salt and dust to produce <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 9) and <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 10) respectively (Liao et al., 2003; Hauglustaine et al., 2014).

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M312" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd><mml:mtext>10</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              The methodology is mostly unchanged from Hauglustaine et al. (2014) and Rémy et al. (2019), with only subtle adaptations needed to integrate the scheme within
UKCA-mode. As in Hauglustaine et al. (2014), the <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficients
(<inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) for dust and sea salt are RH-dependent variables based on
measurements from Fairlie et al. (2010) for dust and Sander et al. (2011) for
sea salt. Additionally, dust is assumed to uniformly constitute 5 %
<inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> by mass as in Hauglustaine et al. (2014), which differs from the approach in Rémy et al. (2019), who used a spatially heterogeneous <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> fraction more akin to observations. Dust alkalinity is titrated by uptake of
<inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> until the dust pH is neutralised whereupon <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> stops
condensing (Fairlie et al., 2010; Hauglustaine et al., 2014), while no such limitation
is necessary for sea salt which generally constitutes a higher fraction of
Na<inline-formula><mml:math id="M319" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ions per mass than dust constitutes <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (e.g. Xiao et al., 2018).</p>
      <p id="d1e5035">As for the first-order uptake parameterisation for ammonium nitrate (Sect. 2.2.1) and in Rémy et al. (2019) rather than explicitly integrating the uptake
rate over the aerosol size distribution, <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is calculated
individually for sea salt in the accumulation and coarse modes using the
modal geometric-mean diameters for <inline-formula><mml:math id="M322" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> in Eqs. (4)–(7) and individually for each
CLASSIC dust bin using fixed geometric-mean diameters (see Sect. S3). Sea-salt number concentrations for the two modes are inversely
determined from the sea-salt mass concentrations and the modal
geometric-mean dry diameters, which implicitly assumes that sea salt is
externally mixed with other UKCA-mode aerosols. Dust<?pagebreak page15907?> particle number
concentrations are determined from prognostic dust mass concentrations and
fixed size distributions for each bin. Mapping between CLASSIC's six dust bins
and UKCA-mode's two size modes follows the approach currently used to map dust
emissions between CLASSIC and UKCA-mode, with bin 2 and half of bin 3 mapped
to the accumulation mode and the other half of bin 3 and bins 4, 5, and 6
mapped to the coarse mode. The dust and sea-salt uptake rates (<inline-formula><mml:math id="M323" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) multiplied
by the equivalent particle number concentrations (<inline-formula><mml:math id="M324" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>) are then used to
determine tendencies to mass concentrations of coarse <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol
(<inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), sea salt (SS), and <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas (Eqs. 11–13). The
constants in Eqs. (11)–(13) include the molar mass of <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.164</mml:mn></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the molar mass of
<inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.084</mml:mn></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M333" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the molar mass of <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.063</mml:mn></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the molar mass of NaCl <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05844</mml:mn></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M338" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M339" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E11"><mml:mtd><mml:mtext>11</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo mathsize="1.1em">[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo mathsize="2.5em">(</mml:mo><mml:mo mathsize="1.1em">(</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">du</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ACC</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">du</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">COA</mml:mi></mml:mrow></mml:msub><mml:mo mathsize="1.1em">)</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>+</mml:mo><mml:mo mathsize="1.1em">(</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">SS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ACC</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">SS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">COA</mml:mi></mml:mrow></mml:msub><mml:mo mathsize="1.1em">)</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="2.5em">)</mml:mo><mml:mo>×</mml:mo><mml:mo mathsize="1.1em">[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E12"><mml:mtd><mml:mtext>12</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo mathsize="1.1em">[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mo mathsize="2.5em">(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mo mathsize="1.1em">(</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">du</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ACC</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">du</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">COA</mml:mi></mml:mrow></mml:msub><mml:mo mathsize="1.1em">)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mo mathsize="1.1em">(</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">SS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ACC</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">SS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">COA</mml:mi></mml:mrow></mml:msub><mml:mo mathsize="1.1em">)</mml:mo><mml:mo mathsize="2.5em">)</mml:mo><mml:mo>×</mml:mo><mml:mo mathsize="1.1em">[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo mathsize="1.1em">]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E13"><mml:mtd><mml:mtext>13</mml:mtext></mml:mtd><mml:mtd><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.1}{9.1}\selectfont$\displaystyle}?><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo mathsize="1.1em">[</mml:mo><mml:mi mathvariant="normal">SS</mml:mi><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mo mathsize="1.1em">(</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">SS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ACC</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">SS</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">COA</mml:mi></mml:mrow></mml:msub><mml:mo mathsize="1.1em">)</mml:mo><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mo mathsize="1.1em">[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo mathsize="1.1em">]</mml:mo><?xmltex \hack{$\egroup}?><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Technical UM modifications</title>
      <p id="d1e5699">UKCA-RADAER calculates 3D aerosol extinction properties for each lognormal
mode online as a function of aerosol composition and size, which are then
utilised directly within the UM's radiative transfer code (Bellouin et al., 2013). Each aerosol species requires prescribed spectral refractive indices (RIs) spanning the electromagnetic spectrum from ultraviolet (0.2 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) to radio waves (1 cm). Ammonium nitrate RIs have previously been
compiled for an older generation of the UM (HadGEM2-ES) (Bellouin et al., 2011). For <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, real and imaginary RIs for the wavelength
spectrum 2–20 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are taken from Jarzembski et al. (2003), while RIs for
<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are assumed to be that at 20 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Real RIs
for 0.59–1.61 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are from the <italic>CRC Handbook of Chemistry and Physics</italic>
(Weast, 1971) and are then extended to cover the 0.1–2 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spectrum.
Imaginary RIs for the ultraviolet and visible spectra (<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) are arbitrarily set to a small number assuming little absorption
(<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e5831">To optically represent the coarse <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aggregate <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> spectral RIs have been compiled from the literature for this
study. RI values are mostly from the tabulated data by Palik and Khanna
(1998) and references therein for solid birefringent <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> crystals.
From 0.23–0.42 <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, imaginary RIs are determined by applying the
Beer–Lambert law to Cleaver et al. (1963) absorption coefficients and assuming a
lattice thickness of 3 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, as in Jacobson (1999). This approach is
necessary to account for the second UV absorption peak missing in the data
of Palik and Khanna (1998). Imaginary RIs for wavelength spectrum 0.42–5.88 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> appear not to have been measured and are pragmatically set to the observed values for <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which are from Gosse et al. (1997) for 0.7–2 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and from Jarzembski et al. (2003) for 2–5.88 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.
As is the case for <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, imaginary RIs are set to an
arbitrary small number (<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from 0.42–0.7 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to
reflect the little or no absorption in that spectrum (Palik and Khanna,
1998). For the real RIs, in the 0.4–0.65 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spectrum values are from
Cotterell et al. (2017) for measurements at 0 % relative humidity. From
0.66–0.67 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, the real RIs are provided by Ballard et al. (1972) and for 0.7 <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from Ivlev and Popova (1972). Above wavelengths of 1 mm – the scope of the Palik and Khanna (1998) database – the real and imaginary RIs are set to the value at 1 mm. The compiled spectral RIs for
<inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are shown in Fig. S5 and tabulated in Tables S2 and S3.</p>
      <p id="d1e6048">The default configuration of UKCA-mode and by extension UKCA-RADAER, as used
in UKESM1 and HadGEM3-GC3.1, represents tropospheric <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with
<inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> refractive indices and (optionally)
stratospheric <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with sulfuric acid (<inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) refractive
indices. This is internally inconsistent given that the tropospheric
<inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is missing the considerable mass associated with <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The new
UKCA-mode nitrate configuration presented here that includes <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as separate tracers firstly apportions <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass
to <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using a <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> molar ratio and the <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> remainder to <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using a <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> molar ratio (represented by <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> refractive indices respectively), and
then it represents remaining <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass with <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> refractive
indices. Another internal inconsistency in the default UKCA-mode
configuration is that <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not explicitly represented during
hygroscopic growth (i.e. in the ZSR algorithm), owing to the lack of an
<inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tracer. In the new nitrate scheme, <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are explicitly added to the hygroscopic growth routine, with
<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> counteracting hygroscopic aerosol growth and <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> promoting it.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e6397">A description of the UM simulations performed in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Simulation name</oasis:entry>
         <oasis:entry colname="col2">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CNTL</oasis:entry>
         <oasis:entry colname="col2">Control simulation – no nitrate aerosols</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">INSTANT</oasis:entry>
         <oasis:entry colname="col2">Nitrate aerosols – instantaneous equilibrium for <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> in Eq. 8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FAST</oasis:entry>
         <oasis:entry colname="col2">Nitrate aerosols – fast uptake coefficient for <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.193</mml:mn></mml:mrow></mml:math></inline-formula> in Eq. 7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SLOW</oasis:entry>
         <oasis:entry colname="col2">Nitrate aerosols – slow uptake coefficient for <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> in Eq. 7)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Simulation design</title>
      <p id="d1e6568">The scientific purpose of this study is to investigate whether representing
the kinetic limitation of <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> condensation onto pre-existing aerosols
during the production of ammonium nitrate significantly alters the resulting
atmospheric concentrations of ammonium nitrate and, indirectly, coarse
nitrate aerosol. To this end, four sensitivity simulations are performed
with the UM and the new nitrate scheme:<?pagebreak page15908?> (1) a control simulation with no
nitrate aerosol and the default UKCA-mode setup 2 (i.e. standard GA7.1)
(CNTL); (2) a simulation with <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaching
equilibrium instantaneously (INSTANT); (3) a simulation with the <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
uptake rate set to <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.193</mml:mn></mml:mrow></mml:math></inline-formula> in Eq. (7) following Feng and Penner (2007) (FAST); and (4) a simulation with the <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake rate set to <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> in Eq. (7) following Bauer et al. (2007) (SLOW). These simulations are
further listed in Table 2 and were selected to span the range of <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
uptake rates on standard atmospheric particles from the literature (Bauer
et al., 2007). All simulations are run for 25 model years with only the last 20 years used for analysis.</p>
      <p id="d1e6656">In these simulations, GA7.1 is forced by fixed sea-surface temperature and
sea-ice fields prescribed as monthly climatologies for the year 2000,
created by averaging over 1995–2004 the time series data generated for CMIP6
atmosphere-only simulations. Additionally, aerosol and gaseous emissions are
primarily prescribed as monthly fields from the CMIP6 historical emissions
inventory (DECK/Historical CMIP6 version 6.2.0), averaged over the
1995–2004 time-period. Table S4 gives global and annual
total emissions for each of the UKCA chemical species. The CMIP6 emissions
inventory was derived from the Community Emissions Data System (CEDS)
project which is documented by van Marle et al. (2017), Hoesly et al. (2018), and Feng et al. (2020); while its integration within the UM is detailed by Sellar et al. (2020). The simulation design (i.e. perpetual year 2000 conditions) follows standard
simulation protocol for UKCA model development in the Met Office.</p>
      <p id="d1e6659">Global anthropogenic <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in the year 2000 from CEDS amount to
50 Tg yr<inline-formula><mml:math id="M413" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, in vast excess of equivalent emissions from the
CMIP5-derived MACCity inventory of 37.5 Tg yr<inline-formula><mml:math id="M414" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Granier et al., 2011).
Hoesly et al. (2018) attribute this disparity to differing assumptions in
agricultural <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> trends and to the lack of consideration for wastewater
and human waste <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in MACCity. Such large discrepancies in
<inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions inventories can impact direct model–measurement
comparisons which make it important to consider the spatial and temporal
trends in concentrations rather than just the overall magnitudes. For this
work exploring the sensitivity of <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to thermodynamic
equilibrium assumptions, the direct comparison of model performance to
observations is done with the goal of understanding the degree to which
thermodynamic assumptions may push the model out of realistic behaviour
rather than best recreating the observations. Oceanic <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in
these simulations – which account for 26 % of total <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
– follow Bouwman et al. (1997) and biomass-burning emissions are described by
van Marle et al. (2017). <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exhibits a strong seasonal cycle with global
emissions in June–August <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> % greater than in December–February (Fig. S6b). The global <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source of <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula> Tg yr<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in these simulations is close to the model-mean value of 63 Tg yr<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for GCMs participating in the AeroCom
phase III nitrate experiment (Bian et al., 2017). Nitrogen oxide (<inline-formula><mml:math id="M427" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) emissions from anthropogenic, biomass-burning, and aircraft sources are
prescribed as monthly fields from the CEDS inventory (van Marle et al., 2017;
Hoesly et al., 2018). <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions from soils are taken from Yienger and
Levy (1995), corrected to a total source of 12 Tg[NO] yr<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Sellar et al., 2020). The global and annual total <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions amount to 106 Tg[NO] yr<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Further details on gas and aerosol emissions in these simulations are provided in Sect. S4.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Global and annual mean metrics</title>
      <p id="d1e6910">Table 3 shows global tropospheric and annual mean budgets for <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the FAST and SLOW simulations
alongside equivalent metrics from the present-day simulations of Xu and
Penner (2012) (hereafter XP12), Hauglustaine et al. (2014) (hereafter HA14), and
from the AeroCom model intercomparison project detailed by Bian et al. (2017)
(hereafter BI17). The INSTANT simulation is near-indistinguishable from FAST
using these metrics (Table S5) – suggesting that <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in FAST reach thermodynamic
equilibrium near instantaneously – and INSTANT is thus omitted from further
analysis. With respect to Table 3 and to the rest of the Results section,
“fine <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” refers to <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> associated with <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, while “coarse <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>” refers to <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> associated with dust and sea salt (i.e. <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>).</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e7055">Global and annual-mean metrics for nitric acid (<inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitrate
(<inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), ammonia (<inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and ammonium (<inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in the FAST and SLOW simulations compared to Xu and Penner (2012) (XP12), Hauglustaine et al. (2014) (HA14), and the AeroCom phase III model intercomparison project described in Bian et al. (2017) (BI17). Square brackets in the BI17 column denoted the AeroCom inter-model range.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">FAST</oasis:entry>
         <oasis:entry colname="col6">SLOW</oasis:entry>
         <oasis:entry colname="col7">XP12</oasis:entry>
         <oasis:entry colname="col8">HA14</oasis:entry>
         <oasis:entry colname="col9">BI17</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Source</oasis:entry>
         <oasis:entry colname="col3">Gas phase</oasis:entry>
         <oasis:entry colname="col4">Tg[N] yr<inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">35.2</oasis:entry>
         <oasis:entry colname="col6">35.7</oasis:entry>
         <oasis:entry colname="col7">24.4</oasis:entry>
         <oasis:entry colname="col8">44.6</oasis:entry>
         <oasis:entry colname="col9">[82, 92]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Aerosol phase</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">18.6</oasis:entry>
         <oasis:entry colname="col6">18.2</oasis:entry>
         <oasis:entry colname="col7">17.9</oasis:entry>
         <oasis:entry colname="col8">3.9</oasis:entry>
         <oasis:entry colname="col9">[4.7, 28.5]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Total</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5">53.8</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">53.9</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">42.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">48.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Loss</oasis:entry>
         <oasis:entry colname="col3">Gas phase</oasis:entry>
         <oasis:entry colname="col4">Tg[N] yr<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">9.7</oasis:entry>
         <oasis:entry colname="col6">9.7</oasis:entry>
         <oasis:entry colname="col7">4.3</oasis:entry>
         <oasis:entry colname="col8">3.4</oasis:entry>
         <oasis:entry colname="col9">[47, 66]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Fine nitrate</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">6.4</oasis:entry>
         <oasis:entry colname="col6">2.7</oasis:entry>
         <oasis:entry colname="col7">8.8</oasis:entry>
         <oasis:entry colname="col8">3.2</oasis:entry>
         <oasis:entry colname="col9">[2, 9.5]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Coarse nitrate</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">16.6</oasis:entry>
         <oasis:entry colname="col6">17.3</oasis:entry>
         <oasis:entry colname="col7">7.2</oasis:entry>
         <oasis:entry colname="col8">11.2</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Dry deposition</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">8</oasis:entry>
         <oasis:entry colname="col7">7.8</oasis:entry>
         <oasis:entry colname="col8">14.7</oasis:entry>
         <oasis:entry colname="col9">10.9 [8, 16.4]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Wet deposition</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">14.9</oasis:entry>
         <oasis:entry colname="col6">5.8</oasis:entry>
         <oasis:entry colname="col7">14.5</oasis:entry>
         <oasis:entry colname="col8">17</oasis:entry>
         <oasis:entry colname="col9">25.1 [11, 37.2]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Total</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">53.4</oasis:entry>
         <oasis:entry colname="col6">53.4</oasis:entry>
         <oasis:entry colname="col7">42.6</oasis:entry>
         <oasis:entry colname="col8">49.5</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Wet fraction</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">%</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">71.4</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">66.4</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">65</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">53.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">68.6 [57.8, 76.3]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">Burden</oasis:entry>
         <oasis:entry rowsep="1" colname="col3"/>
         <oasis:entry rowsep="1" colname="col4">Tg[N]</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.48</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.48</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.56 [0.15, 1.27]</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Lifetime</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">days</oasis:entry>
         <oasis:entry colname="col5">3.2</oasis:entry>
         <oasis:entry colname="col6">3.2</oasis:entry>
         <oasis:entry colname="col7">4.8</oasis:entry>
         <oasis:entry colname="col8">2.3</oasis:entry>
         <oasis:entry colname="col9">[3.5, 5.7]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M451" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Source</oasis:entry>
         <oasis:entry colname="col3">Fine nitrate</oasis:entry>
         <oasis:entry colname="col4">Tg[N] yr<inline-formula><mml:math id="M452" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">6.3</oasis:entry>
         <oasis:entry colname="col6">2.7</oasis:entry>
         <oasis:entry colname="col7">8.8</oasis:entry>
         <oasis:entry colname="col8">3.2</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Coarse nitrate</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">16.6</oasis:entry>
         <oasis:entry colname="col6">17.3</oasis:entry>
         <oasis:entry colname="col7">7.2</oasis:entry>
         <oasis:entry colname="col8">11.2</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Total</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5">22.9</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">19.9</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">16</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">14.4</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">13.7 [1.5, 28.2]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Loss</oasis:entry>
         <oasis:entry colname="col3">Dry deposition</oasis:entry>
         <oasis:entry colname="col4">Tg[N] yr<inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">8.9</oasis:entry>
         <oasis:entry colname="col6">8.3</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">1.7</oasis:entry>
         <oasis:entry colname="col9">4.7 [0.3, 10.8]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Wet deposition</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">14.3</oasis:entry>
         <oasis:entry colname="col6">11.8</oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">12.7</oasis:entry>
         <oasis:entry colname="col9">9.9 [1.2, 20.5]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Total</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">23.2</oasis:entry>
         <oasis:entry colname="col6">20.1</oasis:entry>
         <oasis:entry colname="col7">16</oasis:entry>
         <oasis:entry colname="col8">14.4</oasis:entry>
         <oasis:entry colname="col9">13.7 [1.5, 28.3]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Wet fraction</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">%</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">61.7</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">58.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">75</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">88.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">77 [56.3, 90.8]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Burden</oasis:entry>
         <oasis:entry colname="col3">Fine nitrate</oasis:entry>
         <oasis:entry colname="col4">Tg[N]</oasis:entry>
         <oasis:entry colname="col5">0.11</oasis:entry>
         <oasis:entry colname="col6">0.05</oasis:entry>
         <oasis:entry colname="col7">0.09</oasis:entry>
         <oasis:entry colname="col8">0.05</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Coarse nitrate</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.09</oasis:entry>
         <oasis:entry colname="col6">0.1</oasis:entry>
         <oasis:entry colname="col7">0.08</oasis:entry>
         <oasis:entry colname="col8">0.13</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Total</oasis:entry>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5">0.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.15</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.17</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.18</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.14 [0.03, 0.42]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Lifetime</oasis:entry>
         <oasis:entry colname="col3">Fine nitrate</oasis:entry>
         <oasis:entry colname="col4">days</oasis:entry>
         <oasis:entry colname="col5">6.2</oasis:entry>
         <oasis:entry colname="col6">7.2</oasis:entry>
         <oasis:entry colname="col7">3.7</oasis:entry>
         <oasis:entry colname="col8">5.6</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Coarse nitrate</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
         <oasis:entry colname="col7">4</oasis:entry>
         <oasis:entry colname="col8">4.2</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Total</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">3.2</oasis:entry>
         <oasis:entry colname="col6">2.7</oasis:entry>
         <oasis:entry colname="col7">3.9</oasis:entry>
         <oasis:entry colname="col8">4.6</oasis:entry>
         <oasis:entry colname="col9">5 [2, 7.8]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">Source</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">Emissions</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">Tg[N] yr<inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col5">53.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">53.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">53.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">50.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">51.8 [46.9, 58.1]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Loss</oasis:entry>
         <oasis:entry colname="col3">Gas phase              Tg[N] yr<inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">0.6</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> formation</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">30.4</oasis:entry>
         <oasis:entry colname="col6">25.6</oasis:entry>
         <oasis:entry colname="col7">30.5</oasis:entry>
         <oasis:entry colname="col8">17.5</oasis:entry>
         <oasis:entry colname="col9">26.4 [18.4, 34.6]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Dry deposition</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">17.4</oasis:entry>
         <oasis:entry colname="col6">20.4</oasis:entry>
         <oasis:entry colname="col7">12.7</oasis:entry>
         <oasis:entry colname="col8">21.3</oasis:entry>
         <oasis:entry colname="col9">15.4 [10.4, 24.1]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Wet deposition</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">5.7</oasis:entry>
         <oasis:entry colname="col6">7.5</oasis:entry>
         <oasis:entry colname="col7">9.6</oasis:entry>
         <oasis:entry colname="col8">11.1</oasis:entry>
         <oasis:entry colname="col9">1 [5.6, 15.3]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Total</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">53.4</oasis:entry>
         <oasis:entry colname="col6">53.5</oasis:entry>
         <oasis:entry colname="col7">53.6</oasis:entry>
         <oasis:entry colname="col8">50.5</oasis:entry>
         <oasis:entry colname="col9">53.2 [49.8, 57.9]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Wet fraction</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">%</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">24.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">27</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">43</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">34.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">40.7 [24.5, 58.1]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">Burden</oasis:entry>
         <oasis:entry rowsep="1" colname="col3"/>
         <oasis:entry rowsep="1" colname="col4">Tg[N]</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.04</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.06</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.07</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.09</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.16 [0.04, 0.7]</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Lifetime</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">days</oasis:entry>
         <oasis:entry colname="col5">0.28</oasis:entry>
         <oasis:entry colname="col6">0.41</oasis:entry>
         <oasis:entry colname="col7">0.46</oasis:entry>
         <oasis:entry colname="col8">0.63</oasis:entry>
         <oasis:entry colname="col9">0.72 [0.29, 0.98]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">Source</oasis:entry>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversion</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">Tg[N] yr<inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col5">30.4</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">25.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">30.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">17.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">23.7 [17.8, 29.5]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Loss</oasis:entry>
         <oasis:entry colname="col3">Dry deposition</oasis:entry>
         <oasis:entry colname="col4">Tg[N] yr<inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">5.7</oasis:entry>
         <oasis:entry colname="col6">4.7</oasis:entry>
         <oasis:entry colname="col7">4.5</oasis:entry>
         <oasis:entry colname="col8">2.5</oasis:entry>
         <oasis:entry colname="col9">4.5 [1.3, 16.3]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Wet deposition</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">24.9</oasis:entry>
         <oasis:entry colname="col6">21</oasis:entry>
         <oasis:entry colname="col7">25.9</oasis:entry>
         <oasis:entry colname="col8">14.9</oasis:entry>
         <oasis:entry colname="col9">20.7 [5.6, 34.6]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Total</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">30.5</oasis:entry>
         <oasis:entry colname="col6">25.7</oasis:entry>
         <oasis:entry colname="col7">30.4</oasis:entry>
         <oasis:entry colname="col8">17.4</oasis:entry>
         <oasis:entry colname="col9">25.2 [17.7, 37.4]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3">Wet fraction</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">%</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">81.4</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">81.8</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">85.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">85.6</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">81 [25.6, 94.7]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">Burden</oasis:entry>
         <oasis:entry rowsep="1" colname="col3"/>
         <oasis:entry rowsep="1" colname="col4">Tg[N]</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.42</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">0.36</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">0.26</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">0.22</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">0.25 [0.13, 0.58]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Lifetime</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">days</oasis:entry>
         <oasis:entry colname="col5">5</oasis:entry>
         <oasis:entry colname="col6">5</oasis:entry>
         <oasis:entry colname="col7">3.2</oasis:entry>
         <oasis:entry colname="col8">4.5</oasis:entry>
         <oasis:entry colname="col9">4.3 [1.9, 9.8]</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page15910?><p id="d1e8491">The net <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production rates in FAST (44.1 Tg[N] yr<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and SLOW (44.2 Tg[N] yr<inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are comparable to equivalent rates in HA14 (45.1
Tg[N] yr<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and XP12 (38 Tg[N] yr<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Additionally, the <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions in FAST and SLOW (53.5 Tg[N] yr<inline-formula><mml:math id="M468" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are comparable to HA14,
XP12, and BI14 (50.5, 53.6, and 51.8 Tg[N] yr<inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> respectively),
suggesting that to a first-order approximation the ammonium and nitrate precursor gas
emissions are commensurate on a global basis with prior studies. Total
<inline-formula><mml:math id="M470" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (i.e. fine <inline-formula><mml:math id="M471" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> coarse) production in the FAST (22.9 Tg[N] yr<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and SLOW (19.9 Tg[N] yr<inline-formula><mml:math id="M473" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) simulations is significantly
greater than in HA14 (14.4 Tg[N] yr<inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and XP12 (16 Tg[N] yr<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
and at the upper range of the AeroCom models in BI17 (mean <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">13.7</mml:mn></mml:mrow></mml:math></inline-formula>, range <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> to 28.2 Tg[N] yr<inline-formula><mml:math id="M478" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). This is also the case for <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production rates where FAST (30.4 Tg[N] yr<inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and SLOW (25.6 Tg[N] yr<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) exceed equivalent values in HA14 (17.5 Tg[N] yr<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and BI17 (mean <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn></mml:mrow></mml:math></inline-formula>, range <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">17.8</mml:mn></mml:mrow></mml:math></inline-formula> to 29.5 Tg[N] yr<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and are comparable
with XP12 (30.5 Tg[N] yr<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). This suggests that <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
aerosol production in the UM is at the upper end of efficiency when compared
to other existing climate models.</p>
      <p id="d1e8804">Significant differences between the FAST and SLOW simulations are
highlighted by the global <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> metrics in Table 3. In particular, the
fine <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source is 6.3 Tg[N] yr<inline-formula><mml:math id="M491" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST but only 2.7 Tg[N] yr<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW, marking a 57 % decrease. Conversely, SLOW exhibits 5 % more coarse <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production than in FAST, which is likely due to the surplus <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in SLOW owing to there being less fine <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production. The difference is equally discernible in the burdens, with 47 % of the total <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden as coarse <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in FAST compared to 67 % in SLOW. This can be compared to a 72 % coarse fraction in HA14 and 47 % in XP12, suggesting that the FAST and SLOW coarse fractions are between the instantaneous thermodynamic equilibrium model of HA14 and hybrid
dynamical nitrate scheme of XP12. Note though that intuitively the coarse
ratio in FAST would be expected to be close to HA14 (given that FAST is
indistinguishable from the INSTANT simulation), whereas it is closer to
XP12, which is probably due to differences in the precursor gas
concentrations between FAST and HA14.</p>
      <p id="d1e8909">The total <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens of 0.2 Tg[N] in FAST and 0.15 Tg[N] in SLOW are
commensurate with 0.18 Tg[N] in HA14, 0.17 Tg[N] in XP12, and the AeroCom
median of 0.14 Tg[N] in BI17. The <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden in FAST (0.04 Tg[N]) is at the lower end of the AeroCom range in BI17 (0.04 to 0.7 Tg[N]), while the <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden in FAST (0.42 Tg[N]) is at the upper range of BI17 models
(0.13 to 0.58 Tg[N]), suggesting that <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is more rapidly neutralised
to aerosol in the UM than in other GCMs. This corroborates the assertion
that <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol production in the UM is at the upper end
of efficiency when compared to other existing GCMs and suggests that
<inline-formula><mml:math id="M504" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rather than <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the limiting factor controlling
<inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production in these simulations, given that the
<inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden in FAST is negligible. In summary, Table 3 illustrates the
close parity with regards global- and annual-mean metrics between the UM
simulations and previous nitrate simulations with various climate models
from the literature and highlights the difference in fine <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens
between FAST and SLOW.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Annual mean burdens and concentrations</title>
      <p id="d1e9047">Figure 1 shows the annual-mean mass burdens of <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, fine <inline-formula><mml:math id="M510" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
coarse <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the FAST and SLOW simulations. While units of the format
“mg[N] m<inline-formula><mml:math id="M512" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>” are used in Fig. 1 and throughout the rest of the Results
section, units of the format “mg[<inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M514" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>” are used in the following
text for direct comparison with HA14. Fine <inline-formula><mml:math id="M515" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> associated with <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is concentrated over land regions, particularly in the Northern Hemisphere. The fine <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden averaged over European land is 1 mg[<inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M519" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 3 mg[<inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST. The total <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden over Europe is 3 mg[<inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 5 mg[<inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M526" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST, which is close to the simulated present-day values of 3–4 mg[<inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M528" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in HA14. Fine <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peaks in Europe over the Mediterranean at 5 mg[<inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 12 mg[<inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M533" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST. South Asia exhibits the greatest regional fine <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens with 8 mg[<inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M536" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 14 mg[<inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M538" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST. The total <inline-formula><mml:math id="M539" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens over South Asia of 11 mg[<inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 15 mg[<inline-formula><mml:math id="M542" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST are somewhat greater than equivalent values in HA14 of 5–10 mg[<inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M545" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Conversely, the total <inline-formula><mml:math id="M546" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in East Asia (China) are smaller in these simulations (5  mg[<inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M548" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 9 mg[<inline-formula><mml:math id="M549" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M550" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST) than in HA14 (10–20 mg[<inline-formula><mml:math id="M551" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M552" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Over central North America (the USA), the total <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden is 2 mg[<inline-formula><mml:math id="M554" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M555" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW and 5 mg[<inline-formula><mml:math id="M556" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M557" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST, which compares to 3–4 mg[<inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] m<inline-formula><mml:math id="M559" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in HA14. In summary, the fine-<inline-formula><mml:math id="M560" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are similar to the simulated present-day values
in HA14 on a regional basis in FAST and SLOW. Of more importance to this
study, FAST exhibits twice as much fine <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden on average as does
SLOW in key industrialised land regions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e9663">Annual-mean <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M564" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens from the SLOW and FAST simulations.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f01.png"/>

        </fig>

      <p id="d1e9705">Whereas fine <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens are concentrated over land, coarse <inline-formula><mml:math id="M566" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (i.e. <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is more evenly spread over the Earth and prevalent
over maritime areas where it forms on sea salt and aged dust particles (Fig. 1g, h). Over European land, coarse <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> constitutes 31 % of the total <inline-formula><mml:math id="M569" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burden in FAST and 63 % in SLOW. Equivalent figures for East Asia are 15 % and 30 %, for South Asia are 10 %
and 23 %, and for eastern North America are 45 % and 83 % respectively. Therefore, the
partitioning of <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between the coarse and fine modes is highly
sensitive to the uptake rate of <inline-formula><mml:math id="M571" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on ambient aerosol (<inline-formula><mml:math id="M572" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> in
Eq. 7).</p>
      <?pagebreak page15911?><p id="d1e9794">Figure 2 shows maps of annual-mean near-surface concentrations of <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
fine <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and coarse <inline-formula><mml:math id="M575" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the SLOW and FAST simulations. The
spatial distributions of fine <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are similar to those reported in BI17
and HA14 with peak concentrations over North America, Europe, South Asia,
Southeast Asia, and East Asia land regions, coincident with the highest
<inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M578" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emitting regions (Fig. S6). The
average total <inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations over Europe are 1.5 and 3.5 <inline-formula><mml:math id="M580" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in SLOW and FAST respectively, which can be compared to 4–5 <inline-formula><mml:math id="M581" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in HA14. Over central North America, total
<inline-formula><mml:math id="M582" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations amount to 1 and 3 <inline-formula><mml:math id="M583" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on
average in SLOW and FAST, with 50 % and 15 % contributions from coarse
<inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The regional-mean total <inline-formula><mml:math id="M585" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in East Asia
amount to 3.5 and 6.5 <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and in South Asia amount to 5.5 and 7.5 <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, in SLOW and FAST respectively. Total <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> differences between FAST and SLOW are driven by changes to the fine-<inline-formula><mml:math id="M589" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (Fig. 2d–f), with comparatively minimal changes to coarse <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2g–i). In summary, Fig. 2 shows that the near-surface <inline-formula><mml:math id="M591" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M592" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration differences between FAST and SLOW are very similar to the overall burden differences (Fig. 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e10111">Annual-mean <inline-formula><mml:math id="M593" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M594" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near-surface concentrations from the SLOW and FAST simulations.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f02.png"/>

        </fig>

      <p id="d1e10153">Figure 3 shows the zonal-mean vertical distribution of <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M597" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol in the FAST and SLOW simulations. <inline-formula><mml:math id="M599" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
reaches a greater altitude than fine <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, owing to its long-lived
association with <inline-formula><mml:math id="M601" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol (Fig. 3a–b). Due to the high solubility of <inline-formula><mml:math id="M602" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas and thus swift wet removal from the atmosphere, free ammonia is mostly limited to the bottom 1 km of the atmosphere (Bellouin et al., 2011), which limits the vertical extent to which <inline-formula><mml:math id="M603" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may form by
condensation (Fig. 3c–d). This is further corroborated by Fig. S7 which shows the “gas ratio”, defined as <inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> divided by <inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with values greater than 1 indicating that conditions are <inline-formula><mml:math id="M606" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> limited and
less than 1 indicating conditions are <inline-formula><mml:math id="M607" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> limited (Ansari and Pandis,
1998). It is clear from Fig. S7 that <inline-formula><mml:math id="M608" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production is <inline-formula><mml:math id="M609" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> limited at the surface over land regions but that conditions are ubiquitously <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> limited above altitudes of 1000 m. While
<inline-formula><mml:math id="M611" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ca</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are not volatile like
<inline-formula><mml:math id="M613" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, they are instead associated with coarse particles that are readily removed from the atmosphere by gravitational sedimentation and wet scavenging; thus, they remain confined to the lowest 1 km of the atmosphere (Fig. 3e–f). Figure 3 demonstrates that <inline-formula><mml:math id="M614" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are mostly confined to the lower troposphere in the UM in agreement with other GCMs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e10469">Annual and zonal-mean <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M618" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations vs. altitude from the SLOW and FAST simulations.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Regional surface concentrations</title>
      <?pagebreak page15912?><p id="d1e10519">Given the strong dependency of the ammonia–nitrate equilibrium on temperature and the pronounced seasonal cycle in precursor gas emissions,
it is important to consider the seasonal cycle of <inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> when assessing a nitrate scheme. Figure 4 shows the seasonal cycles in <inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near-surface concentrations and associated regional <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions averaged over land in nine “Giorgi” regions (Giorgi, 2006), selected due to their high fine-<inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (Fig. 2). Table S6 gives details of the Giorgi regions. For most of the regions
(NEU, MED, CNA, EAS, WAF, SQF, and to a lesser extent SEA), fine <inline-formula><mml:math id="M624" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
cycles in both the FAST and SLOW simulations are tightly coupled to cycles
in regional <inline-formula><mml:math id="M625" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, which further corroborates the notion that
<inline-formula><mml:math id="M626" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> formation may be limited in these regions by
available <inline-formula><mml:math id="M627" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M628" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the CAS and SAS regions may be more dependent on seasonal meteorology than other regions; for instance, SAS (i.e. South Asia) experiences a strong summer monsoon which would enhance wet deposition of <inline-formula><mml:math id="M629" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during summer and
thus reduce concentrations in contrast to the high <inline-formula><mml:math id="M630" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in
this period. SAS also has consistently elevated <inline-formula><mml:math id="M631" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
throughout the year and is thus less sensitive to seasonal cycles in
<inline-formula><mml:math id="M632" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Zhu et al., 2015). In all regions, <inline-formula><mml:math id="M633" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and fine-<inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations exhibit a strong seasonal cycle in both SLOW and FAST, while
the seasonal cycle in coarse <inline-formula><mml:math id="M635" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is less apparent. In the SLOW
simulation, coarse <inline-formula><mml:math id="M636" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are of similar magnitude to fine-<inline-formula><mml:math id="M637" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in NEU, MED, CAS, CNA, and WAF on a regional-mean
basis (Fig. 4). In summary, Fig. 4 shows the tight coupling between regional
<inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions and adjacent <inline-formula><mml:math id="M639" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> surface concentrations in many
regions and highlights the strong seasonality of <inline-formula><mml:math id="M640" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M641" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the UM.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e10794">Regional and monthly-mean <inline-formula><mml:math id="M642" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (solid line) and <inline-formula><mml:math id="M643" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (dashed line) near-surface concentrations and <inline-formula><mml:math id="M644" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (solid black line) time series for the SLOW (brown) and FAST (green) simulations
for nine Giorgi regions (Giorgi, 2006) (land-only), representing areas with
high <inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f04.png"/>

        </fig>

      <p id="d1e10847">When introducing an aerosol such as <inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into a GCM, it is
essential to validate the model by comparing the simulated concentrations to
observations. Figures 5 and 6 show the near-surface concentrations of
<inline-formula><mml:math id="M647" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and total <inline-formula><mml:math id="M649" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the USA (Fig. 5) and Europe (Fig. 6) in the FAST and SLOW simulations compared to observations from the Clean Air Status and Trends Network (CASTNet; <uri>https://www.epa.gov/castnet</uri>, last access: 22 October 2021; Finkelstein et al., 2000) for the USA and the European Monitoring and Evaluation Programme (EMEP; <uri>http://ebas.nilu.no/</uri>, last access: 22 October 2021; Tørseth et al., 2012) for Europe. In both networks the sites are located so as to represent the wider region. Data processing and site selection for the observations follow the methodology described in Hardacre et al. (2021), who have compared <inline-formula><mml:math id="M650" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M651" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4<?pagebreak page15913?></mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations from UKESM simulations with CASTNet and EMEP observations. CASTNet and EMEP data are averaged over the period 1994–2013 where available. For CASTNet, there are a total of 49 sites that meet data processing criteria in this study. For EMEP, there are 59 sites for <inline-formula><mml:math id="M652" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 59 sites for <inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 80 sites for <inline-formula><mml:math id="M654" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> meeting data processing criteria over the 1994–2013 time frame. For the scatterplots in
Figs. 5 and 6, model output is interpolated to measurement sites using a
nearest-neighbour approach assuming the Earth is a sphere. It is important
to note that the absolute magnitudes of concentrations are not directly
comparable between the simulations and observations given that the
simulations assume constant <inline-formula><mml:math id="M655" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M656" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions based on the year 2000, whereas <inline-formula><mml:math id="M657" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M658" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions in reality are
transient. This becomes apparent when comparing the network-mean
concentrations in the simulations with the observations (Fig. S8) where there is a clear negative trend in <inline-formula><mml:math id="M659" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M660" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M661" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in both CASTNet and EMEP observations from 1994 to
2013.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e11043">Annual-mean <inline-formula><mml:math id="M662" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M663" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and total-<inline-formula><mml:math id="M664" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near-surface
concentrations in the FAST and SLOW simulations over North America compared
to CASTNet observations averaged over 1994–2013. In panels <bold>(b, c, e, f, h, i)</bold>, coloured contours show simulated concentrations while overlaid filled circles represent CASTNet observations. In panels <bold>(a, d, g)</bold>, “R” is the Pearson's correlation coefficient, and “MnB” is the mean bias between simulated and observed concentrations.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e11093">Annual-mean <inline-formula><mml:math id="M665" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M666" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and total-<inline-formula><mml:math id="M667" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near-surface
concentrations for the FAST and SLOW simulations over Europe compared to
EMEP observations averaged over 1994–2013 where available. In panels <bold>(b, c, e, f, h, i)</bold>, coloured contours show simulated concentrations while overlaid filled circles represent EMEP observations. In panels <bold>(a, d, g)</bold>, “R” is the Pearson's correlation coefficient, and “MnB” is the mean bias between simulated and observed concentrations.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f06.png"/>

        </fig>

      <p id="d1e11141">Figure 5 shows that the spatial distributions of <inline-formula><mml:math id="M668" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M669" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M670" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the USA are similar in FAST and SLOW, with peak <inline-formula><mml:math id="M671" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations in the east and mid-western states reflecting industrial
<inline-formula><mml:math id="M672" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, and peak <inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the mid-western and central states reflecting agricultural <inline-formula><mml:math id="M675" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Park et al., 2004). The absolute magnitudes of <inline-formula><mml:math id="M676" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M677" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are closer to CASTNet observations in SLOW (Fig. 5h) than in FAST (Fig. 5i), but the spatial correlation coefficient for <inline-formula><mml:math id="M678" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is better in FAST (<inline-formula><mml:math id="M679" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.69</mml:mn></mml:mrow></mml:math></inline-formula>) than in SLOW (<inline-formula><mml:math id="M680" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.43</mml:mn></mml:mrow></mml:math></inline-formula>). This suggests that the positive <inline-formula><mml:math id="M681" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (and correspondingly <inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) biases in FAST may partially emanate from a
surplus of <inline-formula><mml:math id="M683" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the model, given that <inline-formula><mml:math id="M684" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is positively biased
in both FAST and, to an even greater extent, SLOW (Fig. 5d). Because of the
underlying <inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bias, it is not possible to declare whether FAST or
SLOW is the better model from comparison with the<?pagebreak page15914?> CASTNet observations (Fig. 5). It is only possible to deduce that reducing the <inline-formula><mml:math id="M686" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake
coefficient (<inline-formula><mml:math id="M687" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) in SLOW leads to a substantial reduction in total
<inline-formula><mml:math id="M688" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration, as already shown in Figs. 1, 2, and 4.</p>
      <p id="d1e11376">Over Europe, <inline-formula><mml:math id="M689" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M690" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are closer to EMEP
observations in the SLOW simulation than in the FAST simulation (e.g.
smaller mean biases in Fig. 6d, g). <inline-formula><mml:math id="M691" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in both FAST and SLOW peak in the Po Valley (northern Italy) and Benelux region, in anecdotal concordance with Drugé et al. (2019) and references
therein. The Po Valley peak in both the EMEP observations and simulations is
due to the entrapment of industrial air pollution by regional geography. The
observed <inline-formula><mml:math id="M692" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M693" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peaks over the Czech Republic may be
attributable to high agricultural <inline-formula><mml:math id="M694" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions pre-2004, with
concomitant concentration declines owing to the Gothenburg protocol
(Fortems-Cheiney et al., 2016; Giannakis et al., 2019). Neither of the observed <inline-formula><mml:math id="M695" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> nor <inline-formula><mml:math id="M696" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration peaks in the Po Valley or the Czech Republic are well captured by FAST or SLOW simulations, which may be
attributed to the coarse model resolution employed here (N96) and the close
proximity of measurement sites to <inline-formula><mml:math id="M697" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources. In summary, Figs. 5 and 6
demonstrate the high skill of the UM nitrate scheme in capturing the
magnitude of observed <inline-formula><mml:math id="M698" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M699" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M700" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and
highlight how the <inline-formula><mml:math id="M701" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient (<inline-formula><mml:math id="M702" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) could be used to
tune <inline-formula><mml:math id="M703" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M704" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in a GCM to observations.</p>
      <p id="d1e11553">Given that <inline-formula><mml:math id="M705" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a strong diurnal tendency, it is important
to compare the simulated diurnal concentrations from the UM with
observations, particularly if the scheme is to garner further utility by
contributing to air quality forecasts in the future. Figure 7 shows the
statistical distribution of six hourly total <inline-formula><mml:math id="M706" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M707" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations from the FAST and SLOW simulations (years 2004–2013)
interpolated to two EMEP supersites in the UK – Auchencorth Moss and
Chilbolton Observatory – and compared with observed diurnal concentrations
from those sites (UK AIR, <uri>https://uk-air.defra.gov.uk/data/</uri>,
last access: 29 January<?pagebreak page15915?> 2021). Both sites use MARGA instruments – a
combination of wet rotating denuders for gas measurements and stream jet
aerosol collectors for aerosol measurements – allowing for accurate
partitioning between the aerosol and gas phases for volatile ammonium
nitrate (Aas et al., 2012; Twigg et al., 2016). Only data recorded at the precise
hours of 06:00, 12:00, 18:00, and 24:00 UTC that has passed the Department
for Environment, Food and Rural Affairs' (DEFRA) quality control
are utilised from the observations. Figure S9 shows the
equivalent statistics for <inline-formula><mml:math id="M708" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M709" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gases compared to
observations. It is clear from Fig. 7 that <inline-formula><mml:math id="M710" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M711" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are
significantly reduced in the SLOW simulation with respect to the FAST
simulation in both seasons. It is also clear that the diurnal cycle, with
<inline-formula><mml:math id="M712" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M713" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peaking at night (24:00 or 00:00 Z) and early morning (06:00 Z) is both observed and skilfully simulated in both FAST and SLOW.
Interestingly, the model shows similar biases to the Met Office's AQUM:
an over prediction of <inline-formula><mml:math id="M714" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during night-time in the summer; a slight
underprediction of <inline-formula><mml:math id="M715" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the winter, a large over prediction of
<inline-formula><mml:math id="M716" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during the day in the summer, and a smaller overprediction of
<inline-formula><mml:math id="M717" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at night in the winter. The curious overprediction of <inline-formula><mml:math id="M718" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at
night in winter (Fig. S9) was also observed in previous
incarnations of the AQUM and will be addressed in the UM in future by
imposing a diurnal cycle to <inline-formula><mml:math id="M719" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. In summary, the pronounced
diurnal <inline-formula><mml:math id="M720" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cycle from UK AIR observations is generally well
captured by the UM nitrate scheme (Fig. 7).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e11750">December–February (DJF) and June–August (JJA) diurnal cycles of
near-surface total-<inline-formula><mml:math id="M721" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M722" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol concentrations in the FAST
and SLOW simulations interpolated to two European Monitoring and Evaluation
Programme (EMEP) supersites in the UK – Auchencorth Moss (55.79216<inline-formula><mml:math id="M723" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <inline-formula><mml:math id="M724" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.2429</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M725" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and Chilbolton (51.149617<inline-formula><mml:math id="M726" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, <inline-formula><mml:math id="M727" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.438228</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M728" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), alongside six hourly observations from 2014–2018 for Auchencorth Moss and 2016–2020 for Chilbolton.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f07.png"/>

        </fig>

      <?pagebreak page15916?><p id="d1e11836">As <inline-formula><mml:math id="M729" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M730" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a significant contributor to urban air pollution
episodes (Jimenez et al., 2009), it is important to assess the contribution of
<inline-formula><mml:math id="M731" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to overall PM<inline-formula><mml:math id="M732" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> surface concentrations using
observations for validation. Figure 8 shows the seasonal cycle in total
PM<inline-formula><mml:math id="M733" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the CNTL, FAST, and SLOW simulations compared
to co-located PM<inline-formula><mml:math id="M734" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> observations from the Global Aerosol Synthesis and
Science Project (GASSP; <uri>http://gassp.org.uk/database/</uri>, last access:
2 July 2020; Reddington et al., 2017). GASSP amalgamates non-urban PM<inline-formula><mml:math id="M735" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
measurements from three major networks: the Interagency Monitoring of
Protected Visual Environments (IMPROVE) project in North America, the
European Monitoring and Evaluation Programme (EMEP), and Asia Pacific
Aerosol Database (A-PAD). The PM<inline-formula><mml:math id="M736" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> analysis proceeds as in Turnock et al. (2020), with monthly-mean observations determined for each measurement site
averaged over the years 2000–2010 and over each region. This is then
compared with the simulated PM<inline-formula><mml:math id="M737" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> output that has been interpolated
to individual site locations using a nearest-neighbour approach and averaged
over the same time period and regions. Also shown in Fig. 8 are Modern-Era
Retrospective Analysis for Research and Applications, version 2 (MERRA-2),
reanalysis data (Buchard et al., 2017; Randles et al., 2017), which closely follow
GASSP surface observations in Europe and North America but are less
successful in other regions where a smaller number of ground-based
observations are available, e.g. incorrectly modelling the seasonal
PM<inline-formula><mml:math id="M738" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> cycles in South Asia and “Pacific AUS NZ”.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e11945">Regional and monthly-mean surface PM<inline-formula><mml:math id="M739" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the
UM simulations (CNTL <inline-formula><mml:math id="M740" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> red, FAST <inline-formula><mml:math id="M741" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> blue, and SLOW <inline-formula><mml:math id="M742" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> green lines), and from
MERRA reanalyses and GASSP surface observations.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f08.png"/>

        </fig>

      <?pagebreak page15917?><p id="d1e11984">Over North America, the slight negative PM<inline-formula><mml:math id="M743" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> bias in CNTL is brought
closer to observations in SLOW and over-corrected in FAST which now exhibits
a slight positive bias (Fig. 8). Over Europe observations suggest that
PM<inline-formula><mml:math id="M744" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> slightly peaks in DJF, which is not the case in any of the UM
simulations in which PM<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> peaks in JJA. Drugé et al. (2019) observed the
same seasonal bias over Europe in the ALADIN-Climate regional model, which
they attributed to uncertainties in the annual cycle of <inline-formula><mml:math id="M746" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M747" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> precursor gases. In Fig. 7, the simulated <inline-formula><mml:math id="M748" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in JJA vastly exceeded the observations at both UK-based supersites, indicating that summertime <inline-formula><mml:math id="M749" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas emissions may be biased high in the
prescribed CEDS emissions dataset over Europe. Another source of uncertainty
that may affect the seasonal <inline-formula><mml:math id="M750" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M751" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cycles is the dependence of
heterogeneous <inline-formula><mml:math id="M752" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hydrolysis on relative humidity and aerosol
liquid water content. In the UM, <inline-formula><mml:math id="M753" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hydrolysis on sulfate is
modelled using a fixed uptake coefficient of 0.1, whereas Shah et al. (2018) have shown that a humidity- and acidity-dependent uptake coefficient improves
PM<inline-formula><mml:math id="M754" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> forecasts in winter over the eastern USA. This suggests that
differences in the seasonal cycles of <inline-formula><mml:math id="M755" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M756" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may emanate from
imprecisions in the modelling of precursor gas emissions, chemistry, and
deposition (Bian et al., 2017).</p>
      <?pagebreak page15918?><p id="d1e12144">Returning to Fig. 8, over South Asia, East Asia, and Southeast Asia the
CNTL simulation adeptly captures the seasonal PM<inline-formula><mml:math id="M757" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> cycle, and the
addition of <inline-formula><mml:math id="M758" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in FAST and SLOW induces a slight positive
bias. In summary, Fig. 8 demonstrates that both SLOW and FAST have a
significant impact on overall PM<inline-formula><mml:math id="M759" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations – particularly over
Europe, Asia, and North America – with FAST inducing approximately double
the PM<inline-formula><mml:math id="M760" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> increase than in SLOW. The addition of <inline-formula><mml:math id="M761" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the UM may
help to reduce the long-standing PM<inline-formula><mml:math id="M762" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> biases in North America and
Europe. Additionally, Fig. 8 provides further evidence that <inline-formula><mml:math id="M763" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions over Europe in the CEDS emissions dataset may be biased high
during the summer.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Aerosol optical depth and radiation changes</title>
      <p id="d1e12230">Atmospheric <inline-formula><mml:math id="M764" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol may have significant radiative
implications on a regional basis leading to climate changes (Hauglustaine
et al., 2014). It is thus useful to compare the aerosol optical depth and
top-of-the-atmosphere (TOA) radiative flux changes in the FAST and SLOW
simulations with CNTL to estimate the radiative impact of <inline-formula><mml:math id="M765" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
Figure 9 shows the annual-mean total aerosol optical depth at 550 nm
(AOD<inline-formula><mml:math id="M766" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula>) in the UM simulations (CNTL, FAST, and SLOW), with
contributions from the Aitken, accumulation and coarse soluble modes, the
Aitken insoluble mode, and mineral dust. Also plotted are the 2003–2012 mean
MODIS Collection 6 AOD<inline-formula><mml:math id="M767" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> satellite data, which merge NASA's Dark Target and Deep Blue algorithms and are widely used for validating
aerosol models (Levy et al., 2013; Hsu et al., 2013). The MODIS AOD<inline-formula><mml:math id="M768" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> data are included in Fig. 9 to assess the skill of the CNTL simulation at capturing
the observed AOD<inline-formula><mml:math id="M769" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> distribution. It is clear that generally the CNTL
simulation does a reasonable job of simulating the spatial distribution of
AOD<inline-formula><mml:math id="M770" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 9a) when compared to MODIS (Fig. 9d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e12313">Annual-mean and column-integrated 550 nm aerosol optical depth
(AOD<inline-formula><mml:math id="M771" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula>) in the CNTL, FAST, and SLOW simulations and from MODIS
Collection 6 satellite observations. Panels <bold>(c)</bold> and <bold>(f)</bold> show the difference between the FAST and CNTL and SLOW and CNTL simulations respectively.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15901/2021/acp-21-15901-2021-f09.png"/>

        </fig>

      <?pagebreak page15919?><p id="d1e12337">The new nitrate scheme will impact the total AOD<inline-formula><mml:math id="M772" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> by various direct
and indirect routes. Firstly, the addition of <inline-formula><mml:math id="M773" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M774" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M775" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass will increase the size and change the composition of the
ambient aerosols, thus altering their optical properties. Secondly,
<inline-formula><mml:math id="M776" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass associated with sea salt will replace existing NaCl, thus
changing the aerosol composition. Thirdly, the explicit addition of <inline-formula><mml:math id="M777" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
to the hygroscopic growth routine will reduce hygroscopic growth, whereas
<inline-formula><mml:math id="M778" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M779" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">coarseNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> will promote hygroscopic growth. Finally,
tropospheric <inline-formula><mml:math id="M780" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was previously assumed to uniformly take the form of
<inline-formula><mml:math id="M781" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in terms of optical properties, but in the new
nitrate scheme it is explicitly divided into <inline-formula><mml:math id="M782" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M783" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributions based on <inline-formula><mml:math id="M784" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> abundance.
Indirectly, <inline-formula><mml:math id="M785" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M786" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may alter the AOD<inline-formula><mml:math id="M787" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> by impacting
online aerosol emissions (such as dust and sea salt) and atmospheric oxidant
concentrations in the UM.</p>
      <p id="d1e12544">The AOD<inline-formula><mml:math id="M788" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> differences between the CNTL and nitrate simulations (FAST
and SLOW) shown in Fig. 9 are a combination of the various direct and
indirect changes to the UM listed above which do not necessarily result in
an increase to AOD<inline-formula><mml:math id="M789" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula>. The global-mean AOD<inline-formula><mml:math id="M790" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> difference between
FAST and CNTL of <inline-formula><mml:math id="M791" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.0048</mml:mn></mml:mrow></mml:math></inline-formula> is serendipitously close to equivalent nitrate
AODs in the literature such as <inline-formula><mml:math id="M792" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn></mml:mrow></mml:math></inline-formula> in Paulot et al. (2016), <inline-formula><mml:math id="M793" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> in HA14, and <inline-formula><mml:math id="M794" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M795" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn><mml:mo>,</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.009</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> in Myhre et al. (2013), although it is important to
note that the AOD<inline-formula><mml:math id="M796" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> changes in those studies were derived from
difference between present-day (PD) and pre-industrial (PI) simulations
rather than PD with and without nitrate. This is a subtle but important
difference which reduces comparability given that the PI simulations
included nitrate, albeit at much smaller concentrations than in PD
(Hauglustaine et al., 2014). Despite the negligible global AOD<inline-formula><mml:math id="M797" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> difference
between FAST and CNTL, there are significant regional perturbations such as
<inline-formula><mml:math id="M798" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.05 over northern Europe as a whole, <inline-formula><mml:math id="M799" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> over East Asia, <inline-formula><mml:math id="M800" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>
over South Asia, and <inline-formula><mml:math id="M801" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> over western Africa and southern equatorial Africa
(Fig. 9c). The changes in the SLOW simulation are more subtle; for instance,
AOD<inline-formula><mml:math id="M802" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">550</mml:mn></mml:msub></mml:math></inline-formula> changes by <inline-formula><mml:math id="M803" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.007</mml:mn></mml:mrow></mml:math></inline-formula> over northern Europe, <inline-formula><mml:math id="M804" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.013</mml:mn></mml:mrow></mml:math></inline-formula> over East Asia, <inline-formula><mml:math id="M805" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> over South Asia, and <inline-formula><mml:math id="M806" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.018</mml:mn></mml:mrow></mml:math></inline-formula> over western Africa and southern
equatorial Africa (Fig. 9f).</p>
      <?pagebreak page15920?><p id="d1e12741">Figure S10 shows the annual-mean all-sky radiative flux perturbation at the TOA. As the UM simulations are atmosphere-only with fixed sea-surface temperatures and sea-ice fields, the TOA radiative flux
perturbation can also be denoted the total effective radiative forcing (ERF)
(Bellouin et al., 2020). The global-mean ERFs from FAST-CNTL and SLOW-CNTL are
<inline-formula><mml:math id="M807" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M808" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M809" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> respectively, which is a similar
magnitude to the PD–PI nitrate radiative forcings (RFs) of <inline-formula><mml:math id="M810" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.056</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M811" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in HA14, <inline-formula><mml:math id="M812" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M813" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in Bellouin et al. (2011), and <inline-formula><mml:math id="M814" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M815" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>,</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M816" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in Myhre et al. (2013), although note again that the RFs in those studies were derived
from difference between present-day (PD) and pre-industrial (PI)
simulations rather than PD with and without nitrate, and those studies
determined the direct radiative forcing rather than the total ERF which also
includes indirect radiative impacts of cloud and atmospheric composition
changes. An explicit assessment of nitrate-induced changes to cloud
properties is outside the scope of this study. Although most regions exhibit
insignificant radiative differences between FAST and CNTL in Fig. S10b
(where stippling indicates significant changes at the <inline-formula><mml:math id="M817" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>
level), there are significant changes over Europe (min <inline-formula><mml:math id="M818" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M819" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
mean <inline-formula><mml:math id="M820" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M821" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), South Asia (min <inline-formula><mml:math id="M822" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M823" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, mean <inline-formula><mml:math id="M824" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M825" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and southern equatorial Africa (min <inline-formula><mml:math id="M826" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M827" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, mean <inline-formula><mml:math id="M828" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M829" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). This mirrors nitrate's radiative signal in HA14. The SLOW simulation exhibits smaller radiative impacts than FAST, with significant changes limited to South Asia (min <inline-formula><mml:math id="M830" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.7</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M831" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, mean <inline-formula><mml:math id="M832" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M833" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and southern equatorial Africa (min <inline-formula><mml:math id="M834" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M835" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, mean <inline-formula><mml:math id="M836" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula>W m<inline-formula><mml:math id="M837" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Figures 9 and S10 highlight the regionality of ammonium
nitrate climate forcing and further demonstrate the significant differences
between the FAST and SLOW simulations.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions and discussion</title>
      <p id="d1e13128">A thermodynamic equilibrium nitrate scheme has been added to UKCA-mode and
tested in the Met Office's Unified Model. In contrast to widely utilised
“instantaneous” thermodynamic equilibrium models, the UKCA nitrate scheme
limits the rate at which ammonium nitrate (<inline-formula><mml:math id="M838" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentrations reach equilibrium using first-order condensation theory.
Sensitivity tests are performed to assess the sensitivity of
<inline-formula><mml:math id="M839" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations to the nitric acid (<inline-formula><mml:math id="M840" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) uptake coefficient (<inline-formula><mml:math id="M841" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> in Eq. 7). Specifically, two values of <inline-formula><mml:math id="M842" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> are chosen to represent fast uptake rates (<inline-formula><mml:math id="M843" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.193</mml:mn></mml:mrow></mml:math></inline-formula>; FAST) and slow uptake rates (<inline-formula><mml:math id="M844" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>; SLOW) based on the range of <inline-formula><mml:math id="M845" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> measurements from the literature (e.g. Bauer et al., 2004). While it is known that <inline-formula><mml:math id="M846" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> varies with aerosol composition, temperature, and relativity humidity (e.g. Vlasenko et al., 2006), well-constrained values for <inline-formula><mml:math id="M847" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake on common aerosol species (e.g. sulfate, organic carbon, black carbon) are at present lacking. As a first-order sensitivity test, the <inline-formula><mml:math id="M848" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient used in <inline-formula><mml:math id="M849" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  production is assumed to be globally invariant to aerosol composition (with the exception of mineral dust), temperature, and relative humidity in FAST and SLOW. A third nitrate simulation in which <inline-formula><mml:math id="M850" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaches
thermodynamic equilibrium instantaneously (INSTANT) is shown to produce
near-identical results to FAST. This is the first study to investigate the
sensitivity of <inline-formula><mml:math id="M851" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations to the <inline-formula><mml:math id="M852" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient and provide an efficient method for reducing <inline-formula><mml:math id="M853" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration biases in GCMs.</p>
      <p id="d1e13320">To help evaluate the sensitivity of <inline-formula><mml:math id="M854" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations to <inline-formula><mml:math id="M855" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient, and the suitability of the FAST and SLOW uptake coefficients, a range of surface and satellite observations and comparable modelling studies have been compared to the UM simulations. Many robust results emerge from the simulations. Fine-<inline-formula><mml:math id="M856" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are a factor of 2 greater in FAST than in SLOW on a global-mean basis, with associated increases to <inline-formula><mml:math id="M857" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in FAST. The largest
differences are over land regions in North America, Europe, South Asia and East
Asia, and equatorial Africa. However, there are minimal differences between
coarse <inline-formula><mml:math id="M858" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (associated with dust and sea salt) concentrations in FAST
and SLOW. Over many populous land regions (Europe, North America, East Asia and
Southeast Asia, and western and equatorial Africa), seasonal near-surface
<inline-formula><mml:math id="M859" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are closely correlated with seasonal <inline-formula><mml:math id="M860" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, suggesting that <inline-formula><mml:math id="M861" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> availability is the limiting factor controlling <inline-formula><mml:math id="M862" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> prevalence (Giannakis et al., 2019). In the SLOW simulation, coarse <inline-formula><mml:math id="M863" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are of a similar magnitude to fine-<inline-formula><mml:math id="M864" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations over many industrialised regions. Comparing the simulated concentrations to CASTNet observations (i.e. the USA network), FAST better captures the spatial distribution of near-surface <inline-formula><mml:math id="M865" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M866" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M867" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations but is positively biased, whereas SLOW better captures the magnitude of the concentrations. Total <inline-formula><mml:math id="M868" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations over Europe are comparable between SLOW and EMEP observations but are a factor of 3–4 too high in FAST. Many of the biases in simulated <inline-formula><mml:math id="M869" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M870" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations appear to be artefacts of biases in precursor gas (<inline-formula><mml:math id="M871" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M872" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentrations. Significant
AOD and TOA radiative flux impacts are mostly isolated to land regions with
substantial <inline-formula><mml:math id="M873" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens. On a global mean basis, the nitrate ERF is <inline-formula><mml:math id="M874" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M875" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in FAST and <inline-formula><mml:math id="M876" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M877" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in SLOW which
mirrors the ratio of <inline-formula><mml:math id="M878" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burdens in the two simulations.</p>
      <p id="d1e13627">Introducing a kinetic limitation on the rate at which   <inline-formula><mml:math id="M879" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations reach equilibrium has minimal effect for <inline-formula><mml:math id="M880" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.193</mml:mn></mml:mrow></mml:math></inline-formula> (i.e. comparing FAST with INSTANT) but a significant effect equivalent to a halving for <inline-formula><mml:math id="M881" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> (i.e. comparing SLOW with FAST). In general, FAST exhibits better spatial correlation with observed nitrate surface concentrations while SLOW better resolves the magnitude of surface concentrations. Note though that there are many caveats associated with this study. Using a globally uniform value for the <inline-formula><mml:math id="M882" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient (<inline-formula><mml:math id="M883" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>) obviates the dependence of <inline-formula><mml:math id="M884" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> on aerosol composition and relative humidity. A better parameterisation may instead utilise a volume-weighted <inline-formula><mml:math id="M885" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> depending on aerosol composition and ambient relative humidity. Additionally, assuming the same value of <inline-formula><mml:math id="M886" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> for both <inline-formula><mml:math id="M887" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M888" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a pragmatic simplification owing to the
dearth of <inline-formula><mml:math id="M889" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> measurements. For example, Benduhn et al. (2016) assume
uptake coefficients of 0.2 and 0.1 for <inline-formula><mml:math id="M890" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M891" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> respectively. On another note, if <inline-formula><mml:math id="M892" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is used to tune the <inline-formula><mml:math id="M893" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations to observations in future, then existing biases in precursor gases (<inline-formula><mml:math id="M894" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M895" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), in terms of emissions and atmospheric
processes, should first be evaluated and addressed. For instance, the
curious surplus of simulated <inline-formula><mml:math id="M896" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at night at UK sites (Fig. S9) may be rectified by imposing a diurnal cycle on <inline-formula><mml:math id="M897" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions based on number of daylight hours, as implemented by Park et al. (2004). Bian et al. (2017) also highlight the importance of accurately simulating
<inline-formula><mml:math id="M898" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissolution in cloud droplets, which may be oversimplified in the
UM owing to the ubiquitous assumption of a cloud droplet pH of 5 in UKCA.</p>
      <p id="d1e13841">This study has also highlighted a potential overestimate of <inline-formula><mml:math id="M899" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions in Europe in the CMIP6 emissions inventory, as also posited by
Drugé et al. (2019). An accurate <inline-formula><mml:math id="M900" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M901" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions inventory is
vital for a proficient simulation of <inline-formula><mml:math id="M902" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M903" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.
<inline-formula><mml:math id="M904" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations also appear to be overestimated over the western USA
(Fig. 5) in these simulations, which may emanate from an oversimplification
of heterogeneous <inline-formula><mml:math id="M905" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry in UKCA Strattrop1.0, given that
the uptake coefficient in that reaction is uniformly set to 0.1 (Archibald
et al., 2020). Other<?pagebreak page15921?> simplifications such as uniformly assuming that mineral dust constitutes 5 % <inline-formula><mml:math id="M906" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> per mass and that the alkalinity of sea salt may be titrated indefinitely may result in errors in coarse-mode <inline-formula><mml:math id="M907" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (Rémy et al., 2019). Lastly, the assumption that <inline-formula><mml:math id="M908" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M909" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are only involved in condensation and evaporation and not in nucleation may need to be revisited given developments in the theory of new particle formation (NPF) (Lee et al., 2019; Wang et al., 2020). If NPF is found to dominate <inline-formula><mml:math id="M910" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production at higher tropospheric altitudes than condensation-related production, then the dynamics of convective transport of <inline-formula><mml:math id="M911" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> precursors will become important.</p>
      <p id="d1e14008">The differences between the simulated and observed concentrations in this
study (Figs. 5–7) may be attributed to the use of perpetual year-2000
conditions in these simulations; the coarse model resolution utilised here
(N96); biases in <inline-formula><mml:math id="M912" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M913" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, chemistry, and
deposition; deficiencies in the thermodynamic equilibrium approach; and due
to the choice of a monotonic uptake coefficient. In particular, this study
has shown that the <inline-formula><mml:math id="M914" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient is an important parameter in the production of ammonium nitrate, and assuming a monotonic value in climate models may be an oversimplified approach given the high sensitivity of <inline-formula><mml:math id="M915" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake to ambient aerosol composition. Future simulations would benefit from stronger observational constraints on the <inline-formula><mml:math id="M916" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M917" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake rates as a function of aerosol composition, relative humidity, and temperature, perhaps from targeted laboratory studies.</p>
      <p id="d1e14078">In a follow-on study, we aim to evaluate the nitrate scheme in
high-resolution UM simulations for specific meteorological case studies in a
manner analogous to Gordon et al. (2018) but over a UK-based domain.
Additionally, we will replace the constant <inline-formula><mml:math id="M918" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake coefficient in
the new nitrate scheme with a volume-weighted value based on aerosol
composition and relative humidity, and we rerun the simulations using
transient CMIP6-like atmosphere-only UM integrations. The next issue to
address will be coupling <inline-formula><mml:math id="M919" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M920" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosol within the UKESM
framework. At present, fixed nitrogen (<inline-formula><mml:math id="M921" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) deposition to the land-surface model (JULES) in UKESM is applied using offline deposition
fields from the input4MIPs database (see Sellar et al., 2020, for further
details). Meanwhile, the ocean biogeochemistry module in UKESM (MEDUSA2;
Yool et al., 2013) has a closed nitrogen budget thus obviating interactions with atmospheric nitrogen. With the addition of ammonium and nitrate aerosol to a future version of UKESM, we will aim to fully couple atmospheric
fixed-nitrogen deposition with the land and ocean surfaces to permit a
comprehensive closed-budget nitrogen cycle.</p>
      <p id="d1e14134">In conclusion, the addition of ammonium and nitrate aerosol to UKCA-mode in
the UM is a step change in aerosol-modelling capability in the UK and will increase confidence in future simulations of aerosol forcing and regional
air pollution episodes. Additionally, nitrate concentrations have been shown
to be highly sensitive to the nitric acid uptake rate, paving a way for
climate models to reduce outstanding biases in ammonium nitrate
concentrations.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e14142">Due to intellectual property rights restrictions, we cannot provide either the source code or documentation papers for the UM. The Met Office Unified Model is available for use under licence. A number of research organisations and national meteorological services use the UM in collaboration with the Met Office to undertake basic atmospheric process research, produce forecasts, develop the UM code, and build and evaluate Earth system models. For further information on how to apply for a licence, see <uri>http://www.metoffice.gov.uk/research/modelling-systems/unified-model</uri> (last access: 16 April 2021). The nitrate scheme is now available on the “trunk” (the Met Office's data repository) and is available for all future UM versions since vn11.8 in UKCA-mode setup 10.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e14151">The UM data used to produce the figures are available from the Centre of Environmental Data Analysis (CEDA) (<ext-link xlink:href="https://doi.org/10.5285/0613b74ecc574fa7b6ac8a22838c5f81" ext-link-type="DOI">10.5285/0613b74ecc574fa7b6ac8a22838c5f81</ext-link>, Jones et al., 2021).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e14157">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-21-15901-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-21-15901-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e14166">ACJ developed the nitrate scheme with assistance from AH, SR, NLA, MD, and AJH. ACJ performed the simulations with assistance from NLA and MD. ACJ, AJH, CH, BJ, JPM, and SR analysed the simulations and compared the results to observations. ACJ wrote the article with assistance from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e14172">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e14178">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e14184">The authors would like to thank the Met Office and the UM team for providing
the UM climate model; NASA for making the MODIS satellite data freely
available; and EMEP, the United States Environment Protection Agency (EPA),
and GASSP for making their concentration measurement data freely available.
The authors thank the many scientists who have contributed data utilised in
this evaluation. The authors would also like to thank Didier Hauglustaine,
John Hemmings, Nicolas Bellouin, Alexander Archibald, Paul Griffiths, Steve
Rumbold, Michael Cotterell, and Paul Agnew for their comments and assistance
throughout this project. Figures were produced using Python<?pagebreak page15922?> 3.6.10
(<uri>https://www.python.org/</uri>, last access: 22 October 2021) and Iris 2.4.0 (<uri>https://scitools.org.uk/</uri>, last access: 22 October 2021).</p><p id="d1e14192">Anthony C. Jones and Adrian Hill are supported by the Clean Air programme which is jointly delivered by the Natural Environment Research Council (NERC) and the Met
Office, with the Economic and Social Research Council (ESRC), Engineering
and Physical Sciences Research Council (EPSRC), Innovate UK, Medical
Research Council (MRC), National Physical Laboratory (NPL), Science and
Technology Facilities Research Council (STFC), Department for Environment,
Food and Rural Affairs (Defra), Department for Health and Social Care
(DHSC), Department for Transport (DfT), Scottish Government and Welsh
Government. Alan J. Hewitt is supported by the Joint DECC/Defra Met Office Hadley Centre Climate Programme (GA01101). Ben Johnson is funded by the Met Office Hadley Centre Climate Programme funded by BEIS and Defra (GA01101). N. Luke Abraham is supported by NERC and NCAS through the ACSIS project. Steven T. Turnock would like to
acknowledge that support for this work came from the UK-China Research and
Innovation Partnership Fund through the Met Office Climate Science for
Service Partnership (CSSP) China as part of the Newton Fund.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e14197">This research has been supported by the Clean Air programme, the Joint DECC/Defra Met Office Hadley Centre Climate Programme (GA01101), the Met Office Hadley Centre Climate Programme funded by BEIS and Defra (GA01101)​​​​​​​, NERC and NCAS through the ACSIS project, and the UK-China Research and Innovation Partnership Fund.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e14203">This paper was edited by Jennifer G. Murphy and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Aas, W., Tsyro, S., Bieber, E., Bergström, R., Ceburnis, D., Ellermann, T., Fagerli, H., Frölich, M., Gehrig, R., Makkonen, U., Nemitz, E., Otjes, R., Perez, N., Perrino, C., Prévôt, A. S. H., Putaud, J.-P., Simpson, D., Spindler, G., Vana, M., and Yttri, K. E.: Lessons learnt from the first EMEP intensive measurement periods, Atmos. Chem. Phys., 12, 8073–8094, <ext-link xlink:href="https://doi.org/10.5194/acp-12-8073-2012" ext-link-type="DOI">10.5194/acp-12-8073-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>
Ackermann, I. J., Hass, H., Memmesheimer, M., Ziegenbein, C., and Ebel, A.:
The parameterization of the sulfate-nitrate ammonia aerosol system in the
long-range transport model EURAD, Meteorol. Atmos. Phys., 57, 101–114,
1995.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Ansari, A. S. and Pandis, S. N.: Response of inorganic PM to precursor
concentrations, Environ. Sci. Technol., 32, 2706–2714, 1998.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Archibald, A. T., O'Connor, F. M., Abraham, N. L., Archer-Nicholls, S., Chipperfield, M. P., Dalvi, M., Folberth, G. A., Dennison, F., Dhomse, S. S., Griffiths, P. T., Hardacre, C., Hewitt, A. J., Hill, R. S., Johnson, C. E., Keeble, J., Köhler, M. O., Morgenstern, O., Mulcahy, J. P., Ordóñez, C., Pope, R. J., Rumbold, S. T., Russo, M. R., Savage, N. H., Sellar, A., Stringer, M., Turnock, S. T., Wild, O., and Zeng, G.: Description and evaluation of the UKCA stratosphere–troposphere chemistry scheme (StratTrop vn 1.0) implemented in UKESM1, Geosci. Model Dev., 13, 1223–1266, <ext-link xlink:href="https://doi.org/10.5194/gmd-13-1223-2020" ext-link-type="DOI">10.5194/gmd-13-1223-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Atkinson, R.: Atmospheric Chemistry of VOCs and NO<inline-formula><mml:math id="M922" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, Atmos. Environ., 34,
2063–2101, <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(99)00460-4" ext-link-type="DOI">10.1016/S1352-2310(99)00460-4</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>
Ballard, S. S., Browder, J. S., and Ebersole, J. F.: Refractive index of
special crystals and certain glasses, in American Institute of Physics
Handbook, 3rd edn., McGraw-Hill, New York, 1972.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Bauer, S. E., Balkanski, Y., Schulz, M., Hauglustaine, D. A., and Dentener,
F.: Global modeling of heterogeneous chemistry on mineral aerosol surfaces:
influence on tropospheric ozone chemistry and comparison to observations, J.
Geophys. Res., 109, D02304, <ext-link xlink:href="https://doi.org/10.1029/2003JD003868" ext-link-type="DOI">10.1029/2003JD003868</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Bauer, S. E., Koch, D., Unger, N., Metzger, S. M., Shindell, D. T., and
Streets, D. G.: Nitrate aerosols today and in 2030: a global simulation
including aerosols and tropospheric ozone, Atmos. Chem. Phys., 7,
5043–5059, <ext-link xlink:href="https://doi.org/10.5194/acp-7-5043-2007" ext-link-type="DOI">10.5194/acp-7-5043-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Bauer, S. E., Tsigaridis, K., and Miller, R.: Significant atmospheric
aerosol pollution caused by world food cultivation, Geophys. Res. Lett., 43,
5394–5400, <ext-link xlink:href="https://doi.org/10.1002/2016GL068354" ext-link-type="DOI">10.1002/2016GL068354</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Bellouin, N., Rae, J., Jones, A., Johnson, C., Haywood, J., and Boucher, O.:
Aerosol forcing in the Climate Model Intercomparison Project (CMIP5)
simulations by HadGEM2-ES and the role of ammonium nitrate, J. Geophys.
Res.-Atmos., 116, D20206, <ext-link xlink:href="https://doi.org/10.1029/2011jd016074" ext-link-type="DOI">10.1029/2011jd016074</ext-link>,
2011.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Bellouin, N., Mann, G. W., Woodhouse, M. T., Johnson, C., Carslaw, K. S., and Dalvi, M.: Impact of the modal aerosol scheme GLOMAP-mode on aerosol forcing in the Hadley Centre Global Environmental Model, Atmos. Chem. Phys., 13, 3027–3044, <ext-link xlink:href="https://doi.org/10.5194/acp-13-3027-2013" ext-link-type="DOI">10.5194/acp-13-3027-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Bellouin, N., Quaas, J., Gryspeerdt, E., Kinne, S., Stier, P., WatsonParris,
D., Boucher, O., Carslaw, K., Christensen, M., Daniau, A.-L., Dufresne,
J.-L., Feingold, G., Fiedler, S., Forster, P., Gettelman, A., Haywood, J.,
Lohmann, U., Malavelle, F., Mauritsen, T., McCoy, D., Myhre, G.,
Mülmenstädt, J., Neubauer, D., Possner, A., Rugenstein, M., Sato,
Y., Schulz, M., Schwartz, S., Sourdeval, O., Storelvmo, T., Toll, V.,
Winker, D., and Stevens, B.: Bounding global aerosol radiative forcing of
climate change, Rev. Geophys., 58, e2019RG000660, <ext-link xlink:href="https://doi.org/10.1029/2019RG000660" ext-link-type="DOI">10.1029/2019RG000660</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Benduhn, F., Mann, G. W., Pringle, K. J., Topping, D. O., McFiggans, G., and Carslaw, K. S.: Size-resolved simulations of the aerosol inorganic composition with the new hybrid dissolution solver HyDiS-1.0: description, evaluation and first global modelling results, Geosci. Model Dev., 9, 3875–3906, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-3875-2016" ext-link-type="DOI">10.5194/gmd-9-3875-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Bian, H., Chin, M., Hauglustaine, D. A., Schulz, M., Myhre, G., Bauer, S. E., Lund, M. T., Karydis, V. A., Kucsera, T. L., Pan, X., Pozzer, A., Skeie, R. B., Steenrod, S. D., Sudo, K., Tsigaridis, K., Tsimpidi, A. P., and Tsyro, S. G.: Investigation of global particulate nitrate from the AeroCom phase III experiment, Atmos. Chem. Phys., 17, 12911–12940, <ext-link xlink:href="https://doi.org/10.5194/acp-17-12911-2017" ext-link-type="DOI">10.5194/acp-17-12911-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Bouwman, A. F., Lee, D. S., Asman, W. A. H., Dentener, F. J., Van Der Hoek,
K. W., and Olivier, J. G. J.: A Global High-Resolution Emission Inventory
for Ammonia, Global Biogeochem. Cy., 11, 561–587, <ext-link xlink:href="https://doi.org/10.1029/97GB02266" ext-link-type="DOI">10.1029/97GB02266</ext-link>, 1997.</mixed-citation></ref>
      <?pagebreak page15923?><ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Buchard, V., Randles, C. A., da Silva, A. M., Darmenov, A., Colarco, P. R.,
Govindaraju, R., Ferrare, R., Hair, J., Beyersdorf, A. J., Ziemba, L. D.,
Yu, H., Buchard, V., Randles, C. A., Silva, A. M. da, Darmenov, A., Colarco,
P. R., Govindaraju, R., Ferrare, R., Hair, J., Beyersdorf, A. J., Ziemba, L.
D., and Yu, H.: The MERRA-2 Aerosol Reanalysis, 1980 Onward. Part II:
Evaluation and Case Studies, J. Climate, 30, 6851–6872,
<ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0613.1" ext-link-type="DOI">10.1175/JCLI-D-16-0613.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Carn, S. A., Fioletov, V. E., McLinden, C. A., Li, C., and Krotkov, N. A.: A
decade of global volcanic SO<inline-formula><mml:math id="M923" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions measured from space, Sci. Rep., 7,
44095, <ext-link xlink:href="https://doi.org/10.1038/srep44095" ext-link-type="DOI">10.1038/srep44095</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Cleaver, B., Rhodes, E., and Ubbelohde, A. R.: Studies of phase
transformations in nitrates and nitrites I. Changes in ultra-violet
absorption spectra on melting, Proc. R. Soc. London, 276, 437–453,
<ext-link xlink:href="https://doi.org/10.1098/rspa.1963.0217" ext-link-type="DOI">10.1098/rspa.1963.0217</ext-link>, 1963.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Cotterell, M. I., Willoughby, R. E., Bzdek, B. R., Orr-Ewing, A. J., and Reid, J. P.: A complete parameterisation of the relative humidity and wavelength dependence of the refractive index of hygroscopic inorganic aerosol particles, Atmos. Chem. Phys., 17, 9837–9851, <ext-link xlink:href="https://doi.org/10.5194/acp-17-9837-2017" ext-link-type="DOI">10.5194/acp-17-9837-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Crutzen, P. J.: The influence of nitrogen oxides on the atmospheric ozone
content, Q. J. Roy. Meteor. Soc., 96, 320–325, <ext-link xlink:href="https://doi.org/10.1002/qj.49709640815" ext-link-type="DOI">10.1002/qj.49709640815</ext-link>, 1970.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Department for Environment, Food and Rural Affairs (DEFRA): Report: Fine
Particulate Matter (PM2.5) in the United Kingdom, DEFRA, London, UK, 203 pp., available at: <uri>https://uk-air.defra.gov.uk/library/reports?report_id=727</uri> (last access: 22 October 2021), 2012.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Drugé, T., Nabat, P., Mallet, M., and Somot, S.: Model simulation of ammonium and nitrate aerosols distribution in the Euro-Mediterranean region and their radiative and climatic effects over 1979–2016, Atmos. Chem. Phys., 19, 3707–3731, <ext-link xlink:href="https://doi.org/10.5194/acp-19-3707-2019" ext-link-type="DOI">10.5194/acp-19-3707-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Fairlie, T. D., Jacob, D. J., Dibb, J. E., Alexander, B., Avery, M. A., van Donkelaar, A., and Zhang, L.: Impact of mineral dust on nitrate, sulfate, and ozone in transpacific Asian pollution plumes, Atmos. Chem. Phys., 10, 3999–4012, <ext-link xlink:href="https://doi.org/10.5194/acp-10-3999-2010" ext-link-type="DOI">10.5194/acp-10-3999-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Feng, Y. and Penner, J. E.: Global modeling of nitrate and ammonium:
Interaction of aerosols and tropospheric chemistry, J. Geophys. Res.,
112, D01304, <ext-link xlink:href="https://doi.org/10.1029/2005jd006404" ext-link-type="DOI">10.1029/2005jd006404</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Feng, L., Smith, S. J., Braun, C., Crippa, M., Gidden, M. J., Hoesly, R., Klimont, Z., van Marle, M., van den Berg, M., and van der Werf, G. R.: The generation of gridded emissions data for CMIP6, Geosci. Model Dev., 13, 461–482, <ext-link xlink:href="https://doi.org/10.5194/gmd-13-461-2020" ext-link-type="DOI">10.5194/gmd-13-461-2020</ext-link>, 2020</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Finkelstein, P., Ellestad, T., Clarke, J., Meyers, T., Schwede, D., Hebert,
E., and Neal, J.: Ozone and sulfur dioxide dry deposition to forests:
Observations and model evaluation, J. Geophys. Res., 105, 15365–15377, <ext-link xlink:href="https://doi.org/10.1029/2000JD900185" ext-link-type="DOI">10.1029/2000JD900185</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Fortems-Cheiney, A., Dufour, G., Hamaoui-Laguel, L., Foret, G., Siour, G.,
Van Damme, M., Meleux, F., Coheur, P.-F., Clerbaux, C., Clarisse, L., Favez,
O., Wallasch, M., and Beekmann, M.: Unaccounted variability in NH3
agricultural sources detected by IASI contributing to European spring haze
episode, Geophys. Res. Lett., 43, 5475–5482, <ext-link xlink:href="https://doi.org/10.1002/2016GL069361" ext-link-type="DOI">10.1002/2016GL069361</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>
Fuchs, N. A. and Sutugin, A. G.: Highly Dispersed Aerosols,
Butterworth-Heinemann, Newton, Mass., USA, 105 pp., 1970.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>
Gerber, H. E.: Relative-humidity parameterization of the Navy Aerosol Model
(NAM), NRL Report 8956, Naval Research Laboratory, Washington, DC, 1985.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Giannakis, E., Kushta, J., Bruggeman, A., and Lelieveld, J.: Costs and
benefits of agricultural ammonia emission abatement options for compliance
with European air quality regulations, Environmental Sciences Europe, 31, 93, <ext-link xlink:href="https://doi.org/10.1186/s12302-019-0275-0" ext-link-type="DOI">10.1186/s12302-019-0275-0</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Giorgi, F.: Climate change hot-spots, Geophys. Res. Lett., 33, L08707,
<ext-link xlink:href="https://doi.org/10.1029/2006GL025734" ext-link-type="DOI">10.1029/2006GL025734</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Gordon, H., Field, P. R., Abel, S. J., Dalvi, M., Grosvenor, D. P., Hill, A. A., Johnson, B. T., Miltenberger, A. K., Yoshioka, M., and Carslaw, K. S.: Large simulated radiative effects of smoke in the south-east Atlantic, Atmos. Chem. Phys., 18, 15261–15289, <ext-link xlink:href="https://doi.org/10.5194/acp-18-15261-2018" ext-link-type="DOI">10.5194/acp-18-15261-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Gosse, S. F., Wang, M., Labrie, D., and Chylek, P.: Imaginary part of the
refractive index of sulfates and nitrates in the 0.7–2.6 <inline-formula><mml:math id="M924" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spectral region, Appl. Optics, 36, 3622–3634, 1997.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Granier, C., Bessagnet, B., Bond, T., D'Angiola, A., Denier van der Gon, H.,
Frost, G. J., Heil, A., Kaiser, J. W., Kinne, S., Klimont, Z., Kloster, S.,
Lamarque, J.-F., Liousse, C., Masui, T., Meleux, F., Mieville, A., Ohara,
T., Raut, J.-C., Riahi, K., Schultz, M. G., Smith, S. J., Thompson, A., van
Aardenne, J., van der Werf, G. R., and van Vuuren, D. P.: Evolution of
anthropogenic and biomass burning emissions of air pollutants at global and
regional scales during the 1980–2010 period, Clim. Change, 109, 163–190,
<ext-link xlink:href="https://doi.org/10.1007/s10584-011-0154-1" ext-link-type="DOI">10.1007/s10584-011-0154-1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Hardacre, C., Mulcahy, J. P., Pope, R., Jones, C. G., Rumbold, S. R., Li, C., and Turnock, S. T.: Evaluation of <inline-formula><mml:math id="M925" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M926" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">−</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and an updated <inline-formula><mml:math id="M927" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dry deposition parameterization in UKESM1, Atmos. Chem. Phys. Discuss. [preprint], <ext-link xlink:href="https://doi.org/10.5194/acp-2021-238" ext-link-type="DOI">10.5194/acp-2021-238</ext-link>, in review, 2021.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Hauglustaine, D. A., Balkanski, Y., and Schulz, M.: A global model simulation of present and future nitrate aerosols and their direct radiative forcing of climate, Atmos. Chem. Phys., 14, 11031–11063, <ext-link xlink:href="https://doi.org/10.5194/acp-14-11031-2014" ext-link-type="DOI">10.5194/acp-14-11031-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Hemmings, J. and Savage, N.: An Initial Evaluation of the GLOMAP-mode
Aerosol Scheme for UK Air-Quality Forecasting with AQUM, Met Office, Exeter, UK, Met Office Weather
Science Technical Report No. 632, 70 pp., available at:
<uri>https://www.metoffice.gov.uk/research/library-and-archive/publications/science/weather-science-technical-reports</uri> (last access: 22 October 2021),
2018.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Hoesly, R. M., Smith, S. J., Feng, L., Klimont, Z., Janssens-Maenhout, G., Pitkanen, T., Seibert, J. J., Vu, L., Andres, R. J., Bolt, R. M., Bond, T. C., Dawidowski, L., Kholod, N., Kurokawa, J.-I., Li, M., Liu, L., Lu, Z., Moura, M. C. P., O'Rourke, P. R., and Zhang, Q.: Historical (1750–2014) anthropogenic emissions of reactive gases and aerosols from the Community Emissions Data System (CEDS), Geosci. Model Dev., 11, 369–408, <ext-link xlink:href="https://doi.org/10.5194/gmd-11-369-2018" ext-link-type="DOI">10.5194/gmd-11-369-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Hsu, N. C., Jeong, M.-J., Bettenhausen, C., Sayer, A. M., Hansell, R.,
Seftor, C. S., Huang, J., and Tsay S.-C.: Enhanced Deep Blue aerosol
retrieval algorithm: Th<?pagebreak page15924?>e second generation, J. Geophys. Res.-Atmos., 118,
9296–9315, <ext-link xlink:href="https://doi.org/10.1002/jgrd.50712" ext-link-type="DOI">10.1002/jgrd.50712</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Ivlev, L. S. and Popova, S. I.: Optical constants of substances of
atmospheric aerosol, Sov. Phys. J., 15, 703–707, <ext-link xlink:href="https://doi.org/10.1007/BF00893039" ext-link-type="DOI">10.1007/BF00893039</ext-link>, 1972.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Jacobson, M.: Numerical techniques to solve condensational and dissolutional
growth equations when growth is coupled to reversible aqueous reactions,
Aerosol Sci. Tech., 27, 491–498, <ext-link xlink:href="https://doi.org/10.1080/02786829708965489" ext-link-type="DOI">10.1080/02786829708965489</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Jacobson, M. Z.: Isolating nitrated and aromatic aerosols and nitrated
aromatic gases as sources of ultraviolet light absorption, J. Geophys. Res.,
104, 3527–3542, <ext-link xlink:href="https://doi.org/10.1029/1998JD100054" ext-link-type="DOI">10.1029/1998JD100054</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Jarzembski, M. A., Norman, M. L., Fuller, K. A., Srivastava, V., and Cutten,
D. R.: Complex refractive index of ammonium nitrate in the 2–20 <inline-formula><mml:math id="M928" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spectral range, Appl. Optics, 42, 922–930, <ext-link xlink:href="https://doi.org/10.1364/AO.42.000922" ext-link-type="DOI">10.1364/AO.42.000922</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Jimenez, J. L., Canagaratna, M. R., Donahue, N. M., Prevot, A. S. H., Zhang,
Q., Kroll, J. H., DeCarlo, P. F., Allan, J. D., Coe, H., Ng, N. L., Aiken,
A. C., Docherty, K. S., Ulbrich, I. M., Grieshop, A. P., Robinson, A. L.,
Duplissy, J., Smith, J. D., Wilson, K. R., Lanz, V. A., Hueglin, C., Sun, Y.
L., Tian, J., Laaksonen, A., Raatikainen, T., Rautiainen, J., Vaattovaara,
P., Ehn, M., Kulmala, M., Tomlinson, J. M., Collins, D. R., Cubison, M. J.,
Dunlea, E. J., Huffman, J. A., Onasch, T. B., Alfarra, M. R., Williams, P.
I., Bower, K., Kondo, Y., Schneider, J., Drewnick, F., Borrmann, S., Weimer,
S., Demerjian, K., Salcedo, D., Cottrell, L., Griffin, R., Takami, A.,
Miyoshi, T., Hatakeyama, S., Shimono, A., Sun, J. Y., Zhang, Y. M., Dzepina,
K., Kimmel, J. R., Sueper, D., Jayne, J. T., Herndon, S. C., Trimborn, A.
M., Williams, L. R., Wood, E. C., Middlebrook, A. M., Kolb, C. E.,
Baltensperger, U., and Worsnop, D. R.: Evolution of organic aerosols in the
atmosphere, Science, 326,  1525–1529, <ext-link xlink:href="https://doi.org/10.1126/science.1180353" ext-link-type="DOI">10.1126/science.1180353</ext-link>,
2009.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Jones, A.C., Hill, A., Remy, S., Abraham, N. L., Dalvi, M., Hardacre, C., Hewitt, A. J., Johnson, B., Mulcahy, J. P., and Turnock, S.: Exploring the sensitivity of atmospheric nitrate concentrations to nitric acid uptake rate using the Met Office's Unified Model: nitrate and nitric acid simulation data, NERC EDS Centre for Environmental Data Analysis [data set], <ext-link xlink:href="https://doi.org/10.5285/0613b74ecc574fa7b6ac8a22838c5f81" ext-link-type="DOI">10.5285/0613b74ecc574fa7b6ac8a22838c5f81</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Kucera, V. and Fitz, S.: Direct and indirect air pollution effects on
materials including cultural monuments, Water Air Soil Pollut., 85,
153–165, <ext-link xlink:href="https://doi.org/10.1007/BF00483697" ext-link-type="DOI">10.1007/BF00483697</ext-link> 1995.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Lee, S.-H., Gordon, H., Yu, H., Lehtipalo, K., Haley, R., Li, Y., and Zhang,
R.: New particle formation in the atmosphere: From molecular clusters to
global climate. J. Geophys. Res.-Atmos., 124, 7098–7146, <ext-link xlink:href="https://doi.org/10.1029/2018JD029356" ext-link-type="DOI">10.1029/2018JD029356</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Lelieveld, J., Evans, J. S., Fnais, M., Giannadaki, D., and Pozzer, A.: The
contribution of outdoor air pollution sources to premature mortality on a
global scale, Nature, 525, 367–371, <ext-link xlink:href="https://doi.org/10.1038/nature15371" ext-link-type="DOI">10.1038/nature15371</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Levy, R. C., Mattoo, S., Munchak, L. A., Remer, L. A., Sayer, A. M., Patadia, F., and Hsu, N. C.: The Collection 6 MODIS aerosol products over land and ocean, Atmos. Meas. Tech., 6, 2989–3034, <ext-link xlink:href="https://doi.org/10.5194/amt-6-2989-2013" ext-link-type="DOI">10.5194/amt-6-2989-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Li, W. J. and Shao, L. Y.: Observation of nitrate coatings on atmospheric mineral dust particles, Atmos. Chem. Phys., 9, 1863–1871, <ext-link xlink:href="https://doi.org/10.5194/acp-9-1863-2009" ext-link-type="DOI">10.5194/acp-9-1863-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Li, Y., Schichtel, B. A., Walker, J. T., Schwede, D. B., Chen, X., Lehmann,
C. M. B., Puchalski, M. A., Gay, D. A., and Collett, J. L.: Increasing
importance of deposition of reduced nitrogen in the United States, P. Natl.
Acad. Sci. USA, 113, 5874–5879, <ext-link xlink:href="https://doi.org/10.1073/pnas.1525736113" ext-link-type="DOI">10.1073/pnas.1525736113</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Liao, H., Adams, P. J., Chung, S. H., Seinfeld, J. H., Mickley, L. J., and
Jacob, D. J.: Interactions between tropospheric chemistry and aerosols in a
unified general circulation model, J. Geophys. Res., 108, 4001,
<ext-link xlink:href="https://doi.org/10.1029/2001JD001260" ext-link-type="DOI">10.1029/2001JD001260</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Lovett, G. M., Tear, T. H., Evers, D. C., Findlay, S. E. G., Cosby, B.
J., Dunscomb, J. K., Driscoll, C. T., and Weathers, K. C.: Effects of air
pollution on ecosystems and biological diversity in the eastern United
States, Ann. NY Acad. Sci., 1162, 99–135,
<ext-link xlink:href="https://doi.org/10.1111/j.1749-6632.2009.04153.x" ext-link-type="DOI">10.1111/j.1749-6632.2009.04153.x</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Makar, P. A., Wiebe, H. A., Staebler, R. M., Li, S.-M., and Anlauf, K.:
Measurement and modelling of particle nitrate formation, J. Geophys.
Res.-Atmos., 103, 13095–13110, <ext-link xlink:href="https://doi.org/10.1029/98JD00978" ext-link-type="DOI">10.1029/98JD00978</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Mann, G. W., Carslaw, K. S., Spracklen, D. V., Ridley, D. A., Manktelow, P. T., Chipperfield, M. P., Pickering, S. J., and Johnson, C. E.: Description and evaluation of GLOMAP-mode: a modal global aerosol microphysics model for the UKCA composition-climate model, Geosci. Model Dev., 3, 519–551, <ext-link xlink:href="https://doi.org/10.5194/gmd-3-519-2010" ext-link-type="DOI">10.5194/gmd-3-519-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>McDuffie, E. E., Smith, S. J., O'Rourke, P., Tibrewal, K., Venkataraman, C., Marais, E. A., Zheng, B., Crippa, M., Brauer, M., and Martin, R. V.: A global anthropogenic emission inventory of atmospheric pollutants from sector- and fuel-specific sources (1970–2017): an application of the Community Emissions Data System (CEDS), Earth Syst. Sci. Data, 12, 3413–3442, <ext-link xlink:href="https://doi.org/10.5194/essd-12-3413-2020" ext-link-type="DOI">10.5194/essd-12-3413-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Metzger, S., Dentener, F., Pandis, S., and Lelieveld, J.: Gas/aerosol
partitioning: 1. A computationally efficient model, J. Geophys. Res., 107,
D164312, <ext-link xlink:href="https://doi.org/10.1029/2001JD001102" ext-link-type="DOI">10.1029/2001JD001102</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Monks, P. S., Granier, C., Fuzzi, S., Stohl, A., Williams, M. L., Akimoto,
H., Amann, M., Baklanov, A., Baltensperger, U., Bey, I., Blake, N., Blake,
R. S., Carslaw, K., Cooper, O. R., Dentener, F., Fowler, D., Fragkou, E.,
Frost, G. J., Generoso, S., Ginoux, P., Grewe, V., Guenther, A., Hansson, H.
C., Henne, S., Hjorth, J., Hofzumahaus, A., Huntrieser, H., Isaksen, I. S.
A., Jenkin, M. E., Kaiser, J., Kanakidou, M., Klimont, Z., Kulmala, M., Laj,
P., Lawrence, M. G., Lee, J. D., Liousse, C., Maione, M., McFiggans, G.,
Metzger, A., Mieville, A., Moussiopoulos, N., Orlando, J. J., O'Dowd, C. D.,
Palmer, P. I., Parrish, D. D., Petzold, A., Platt, U., Poeschl, U., Prevot,
A. S. H., Reeves, C. E., Reimann, S., Rudich, Y., Sellegri, K.,
Steinbrecher, R., Simpson, D., ten Brink, H., Theloke, J., van der Werf, G.
R., Vautard, R., Vestreng, V., Vlachokostas, C., and von Glasow, R.:
Atmospheric composition change – global and regional air quality, Atmos.
Environ., 43, 5268–5350, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2009.08.021" ext-link-type="DOI">10.1016/j.atmosenv.2009.08.021</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>
Mozurkewich, M.: The dissociation constant of ammonium nitrate and its
dependence on temperature, relative humidity and particle size, Atmos.
Environ. A-Gen., 27, 261–270, 1993.</mixed-citation></ref>
      <?pagebreak page15925?><ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Mulcahy, J. P., Johnson, C., Jones, C. G., Povey, A. C., Scott, C. E., Sellar, A., Turnock, S. T., Woodhouse, M. T., Abraham, N. L., Andrews, M. B., Bellouin, N., Browse, J., Carslaw, K. S., Dalvi, M., Folberth, G. A., Glover, M., Grosvenor, D. P., Hardacre, C., Hill, R., Johnson, B., Jones, A., Kipling, Z., Mann, G., Mollard, J., O'Connor, F. M., Palmiéri, J., Reddington, C., Rumbold, S. T., Richardson, M., Schutgens, N. A. J., Stier, P., Stringer, M., Tang, Y., Walton, J., Woodward, S., and Yool, A.: Description and evaluation of aerosol in UKESM1 and HadGEM3-GC3.1 CMIP6 historical simulations, Geosci. Model Dev., 13, 6383–6423, <ext-link xlink:href="https://doi.org/10.5194/gmd-13-6383-2020" ext-link-type="DOI">10.5194/gmd-13-6383-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Myhre, G., Grini, A., and Metzger, S.: Modelling of nitrate and ammonium-containing aerosols in presence of sea salt, Atmos. Chem. Phys., 6, 4809–4821, <ext-link xlink:href="https://doi.org/10.5194/acp-6-4809-2006" ext-link-type="DOI">10.5194/acp-6-4809-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Myhre, G., Samset, B. H., Schulz, M., Balkanski, Y., Bauer, S., Berntsen, T. K., Bian, H., Bellouin, N., Chin, M., Diehl, T., Easter, R. C., Feichter, J., Ghan, S. J., Hauglustaine, D., Iversen, T., Kinne, S., Kirkevåg, A., Lamarque, J.-F., Lin, G., Liu, X., Lund, M. T., Luo, G., Ma, X., van Noije, T., Penner, J. E., Rasch, P. J., Ruiz, A., Seland, Ø., Skeie, R. B., Stier, P., Takemura, T., Tsigaridis, K., Wang, P., Wang, Z., Xu, L., Yu, H., Yu, F., Yoon, J.-H., Zhang, K., Zhang, H., and Zhou, C.: Radiative forcing of the direct aerosol effect from AeroCom Phase II simulations, Atmos. Chem. Phys., 13, 1853–1877, <ext-link xlink:href="https://doi.org/10.5194/acp-13-1853-2013" ext-link-type="DOI">10.5194/acp-13-1853-2013</ext-link>,
2013.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>Nenes, A., Pandis, S. N., and Pilinis, C.: ISORROPIA: A new thermodynamic
equilibrium model for multiphase multicomponent inorganic aerosols, Aquat.
Geochem., 4, 123–152, <ext-link xlink:href="https://doi.org/10.1023/A:1009604003981" ext-link-type="DOI">10.1023/A:1009604003981</ext-link>,
1998.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Palik, E. D. (Ed.) and Khanna, R.: Sodium Nitrate (NaNO<inline-formula><mml:math id="M929" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), in: Handbook of Optical Constants, Academic Press, New York,  3, p. 871, 1998.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>Park, R. J., Jacob, D. J., Field, B. D., Yantosca, R. M., and Chin, M.:
Natural and transboundary pollution influences on sulfate-nitrate-ammonium
aerosols in the United States: Implications for policy, J. Geophys. Res.,
109, D15204, <ext-link xlink:href="https://doi.org/10.1029/2003JD004473" ext-link-type="DOI">10.1029/2003JD004473</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Paulot, F., Ginoux, P., Cooke, W. F., Donner, L. J., Fan, S., Lin, M.-Y., Mao, J., Naik, V., and Horowitz, L. W.: Sensitivity of nitrate aerosols to ammonia emissions and to nitrate chemistry: implications for present and future nitrate optical depth, Atmos. Chem. Phys., 16, 1459–1477, <ext-link xlink:href="https://doi.org/10.5194/acp-16-1459-2016" ext-link-type="DOI">10.5194/acp-16-1459-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>
Putaud, J. P., Raes, F., Van Dingenen, R., Bruggemann, E., Faccini, M. C.,
Decesari, S., Fuzzi, S., Gehrig, R., Huglin, C., Laj, P., Lorbeer, G.,
Maenhaut, W., Mihalopoulos, N., Muller, K., Querol, X., Rodriguez, S.,
Schneider, J., Spindler, G., ten Brink, H., Tørseth, K., and
Wiedensohler, A.: A European aerosol phenomenology 2: chemical
characteristics of particulate matter at kerbside, urban, rural and
background sites in Europe, Atmos. Environ., 38, 2579–2595, 2004</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Randles, C. A., da Silva, A. M., Buchard, V., Colarco, P. R., Darmenov, A.,
Govindaraju, R., Smirnov, A., Holben, B., Ferrare, R., Hair, J., Shinozuka,
Y., Flynn, C. J., Randles, C. A., Silva, A. M. da, Buchard, V., Colarco, P.
R., Darmenov, A., Govindaraju, R., Smirnov, A., Holben, B., Ferrare, R.,
Hair, J., Shinozuka, Y., and Flynn, C. J.: The MERRA-2 Aerosol Reanalysis,
1980 Onward. Part I: System Description and Data Assimilation Evaluation, J.
Climate, 30, 6823–6850, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0609.1" ext-link-type="DOI">10.1175/JCLI-D-16-0609.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Reddington, C. L., Carslaw, K. S., Stier, P., Schutgens, N., Coe, H., Liu,
D., Allan, J., Browse, J., Pringle, K. J., Lee, L. A., Yoshioka, M.,
Johnson, J. S., Regayre, L. A., Spracklen, D. V., Mann, G. W., Clarke, A.,
Hermann, M., Henning, S., Wex, H., Kristensen, T. B., Leaitch, W. R.,
Pöschl, U., Rose, D., Andreae, M. O., Schmale, J., Kondo, Y., Oshima,
N., Schwarz, J. P., Nenes, A., Anderson, B., Roberts, G. C., Snider, J. R.,
Leck, C., Quinn, P. K., Chi, X., Ding, A., Jimenez, J. L., and Zhang, Q.:
The global aerosol synthesis and science project (GASSP): Measurements and
modeling to reduce uncertainty, B. Am. Meteorol. Soc., 98, 1857–1877,
<ext-link xlink:href="https://doi.org/10.1175/BAMS-D-15-00317.1" ext-link-type="DOI">10.1175/BAMS-D-15-00317.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>Rémy, S., Kipling, Z., Flemming, J., Boucher, O., Nabat, P., Michou, M., Bozzo, A., Ades, M., Huijnen, V., Benedetti, A., Engelen, R., Peuch, V.-H., and Morcrette, J.-J.: Description and evaluation of the tropospheric aerosol scheme in the European Centre for Medium-Range Weather Forecasts (ECMWF) Integrated Forecasting System (IFS-AER, cycle 45R1), Geosci. Model Dev., 12, 4627–4659, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-4627-2019" ext-link-type="DOI">10.5194/gmd-12-4627-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>
Sander, S. P., Abbatt, J., Barker, J. R., Burkholder, J. B., Friedl, R. R.,
Golden, D. M., Huie, R. E., Kolb, C. E., Kurylo, M. J., Moortgat, G. K.,
Orkin, V. L., and Wine, P. H.: Chemical Kinetics and Photochemical Data for
Use in Atmospheric Studies, Evaluation No. 17, JPL Publication 10-6, Jet
Propulsion Laboratory, Pasadena, 2011.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>Savage, N. H., Agnew, P., Davis, L. S., Ordóñez, C., Thorpe, R.,
Johnson, C. E., O'Connor, F. M., and Dalvi, M.: Air quality modelling using
the Met Office Unified Model (AQUM OS24-26): model description and initial
evaluation, Geosci. Model Dev., 6, 353–372, <ext-link xlink:href="https://doi.org/10.5194/gmd-6-353-2013" ext-link-type="DOI">10.5194/gmd-6-353-2013</ext-link>,
2013.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>
Schwartz, S. E.: Mass transport considerations pertinent to aqueous phase
reactions of gases in liquid-water clouds, in: Chemistry of Multiphase
Atmospheric Systems, edited by: Jaeschke, W., Springer, New York,
415–471, 1986.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>
Seinfeld, J. H. and Pandis, S. N.: Atmospheric Chemistry and Physics: From
Air Pollution to Climate Change, John, Wiley &amp; Sons, Inc., New York, USA, 1998.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 1?><mixed-citation>Sellar, A., Jones, C. G., Mulcahy, J. P., Tang, Y., Yool, A., Wiltshire, A.,
O'Connor, F. M., Stringer, M., Hill, R., Palmieri, J., Woodward, S., de
Mora, L., Kuhlbrodt, T., Rumbold, S., Kelley, D. I., Ellis, R., Johnson, C.
E., Walton, J., Abraham, N. L., Andrews, M. B., Andrews, T., Archibald, A.
T., Berthou, S., Burke, E., Blockley, E., Carslaw, K., Dalvi, M., Edwards,
J., Folberth, G. A., Gedney, N., Griffiths, P. T., Harper, A. B., Hendry, M.
A., Hewitt, A. J., Johnson, B., Jones, A., Jones, C. D., Keeble, J.,
Liddicoat, S., Morgenstern, O., Parker, R. J., Predoi, V., Robertson, E.,
Siahaan, A., Smith, R. S., Swaminathan, R., Woodhouse, M., Zeng, G., and
Zerroukat, M.: UKESM1: Description and evaluation of the UK Earth System
Model, J. Adv. Model. Earth Sy., 11, 4513–4558, <ext-link xlink:href="https://doi.org/10.1029/2019MS001739" ext-link-type="DOI">10.1029/2019MS001739</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><?label 1?><mixed-citation>Sellar, A., Walton, J., Jones, C. G., Wood, R., Abraham, N. L., Andrejczuk,
M., Andrews, M. B., Andrews, T., Archibald, A. T., Dyson, H., Elkington, M.,
Ellis, R., Florek, P., Good, P., Gohar, L., Haddad, S., Hardiman, S. C.,
Hogan, E., Iwi, A., Jones, C. D., Johnson, B., Kelley, D. I., Kettleborough,
J., Knight, J. R., Köhler, M. O., Kuhlbrodt, T., Liddicoat, S.,
Linova-Pavlova, I.<?pagebreak page15926?>, Mizielinski, M. S., Morgenstern, O., Mulcahy, J.,
Neininger, E., O'Connor, F. M., Petrie, R., Ridley, J., Rioual, J.-C.,
Roberts, M., Robertson, E., Rumbold, S., Seddon, J., Shepherd, H., Shim, S.,
Stephens, A., Teixeira, J. C., Tang, Y., Williams, J., and Wiltshire, A.:
Implementation of UK Earth system models for CMIP6, J.
Adv. Model. Earth Sy., 12, e2019MS001946, <ext-link xlink:href="https://doi.org/10.1029/2019MS001946" ext-link-type="DOI">10.1029/2019MS001946</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><?label 1?><mixed-citation>Shah, V., Jaeglé, L., Thornton, J. A., Lopez-Hilfiker, F. D., Lee, B.
H., Schroder, J. C., Campuzano-Jost, P., Jimenez, J. L., Guo, H., Sullivan,
A. P., Weber, R. J., Green, J. R., Fiddler, M. N., Bililign, S., Campos, T.
L., Stell, M., Weinheimer, A. J., Montzka, D. D., and Brown, S. S.: Chemical
feedbacks weaken the wintertime response of particulate sulfate and nitrate
to emissions reductions over the eastern United States, P. Natl. Acad. Sci.
USA, 115, 8110–8115, <ext-link xlink:href="https://doi.org/10.1073/pnas.1803295115" ext-link-type="DOI">10.1073/pnas.1803295115</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><?label 1?><mixed-citation>Smith, C., Hill, A. K., and Torrente-Murciano, L.: Current and future role
of Haber–Bosch ammonia in a carbon-free energy landscape, Energy Environ.
Sci., 13, 331–344, <ext-link xlink:href="https://doi.org/10.1039/c9ee02873k" ext-link-type="DOI">10.1039/c9ee02873k</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><?label 1?><mixed-citation>Tørseth, K., Aas, W., Breivik, K., Fjæraa, A. M., Fiebig, M., Hjellbrekke, A. G., Lund Myhre, C., Solberg, S., and Yttri, K. E.: Introduction to the European Monitoring and Evaluation Programme (EMEP) and observed atmospheric composition change during 1972–2009, Atmos. Chem. Phys., 12, 5447–5481, <ext-link xlink:href="https://doi.org/10.5194/acp-12-5447-2012" ext-link-type="DOI">10.5194/acp-12-5447-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><?label 1?><mixed-citation>Turnock, S. T., Allen, R. J., Andrews, M., Bauer, S. E., Deushi, M., Emmons, L., Good, P., Horowitz, L., John, J. G., Michou, M., Nabat, P., Naik, V., Neubauer, D., O'Connor, F. M., Olivié, D., Oshima, N., Schulz, M., Sellar, A., Shim, S., Takemura, T., Tilmes, S., Tsigaridis, K., Wu, T., and Zhang, J.: Historical and future changes in air pollutants from CMIP6 models, Atmos. Chem. Phys., 20, 14547–14579, <ext-link xlink:href="https://doi.org/10.5194/acp-20-14547-2020" ext-link-type="DOI">10.5194/acp-20-14547-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><?label 1?><mixed-citation>Twigg, M. M., Ilyinskaya, E., Beccaceci, S., Green, D. C., Jones, M. R., Langford, B., Leeson, S. R., Lingard, J. J. N., Pereira, G. M., Carter, H., Poskitt, J., Richter, A., Ritchie, S., Simmons, I., Smith, R. I., Tang, Y. S., Van Dijk, N., Vincent, K., Nemitz, E., Vieno, M., and Braban, C. F.: Impacts of the 2014–2015 Holuhraun eruption on the UK atmosphere, Atmos. Chem. Phys., 16, 11415–11431, <ext-link xlink:href="https://doi.org/10.5194/acp-16-11415-2016" ext-link-type="DOI">10.5194/acp-16-11415-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><?label 1?><mixed-citation>van Marle, M. J. E., Kloster, S., Magi, B. I., Marlon, J. R., Daniau, A.-L., Field, R. D., Arneth, A., Forrest, M., Hantson, S., Kehrwald, N. M., Knorr, W., Lasslop, G., Li, F., Mangeon, S., Yue, C., Kaiser, J. W., and van der Werf, G. R.: Historic global biomass burning emissions for CMIP6 (BB4CMIP) based on merging satellite observations with proxies and fire models (1750–2015), Geosci. Model Dev., 10, 3329–3357, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-3329-2017" ext-link-type="DOI">10.5194/gmd-10-3329-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><?label 1?><mixed-citation>Vlasenko, A., Sjogren, S., Weingartner, E., Stemmler, K., Gäggeler, H. W., and Ammann, M.: Effect of humidity on nitric acid uptake to mineral dust aerosol particles, Atmos. Chem. Phys., 6, 2147–2160, <ext-link xlink:href="https://doi.org/10.5194/acp-6-2147-2006" ext-link-type="DOI">10.5194/acp-6-2147-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><?label 1?><mixed-citation>Vinken, G. C. M., Boersma, K. F., Maasakkers, J. D., Adon, M., and Martin, R. V.: Worldwide biogenic soil NO<inline-formula><mml:math id="M930" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions inferred from OMI NO<inline-formula><mml:math id="M931" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> observations, Atmos. Chem. Phys., 14, 10363–10381, <ext-link xlink:href="https://doi.org/10.5194/acp-14-10363-2014" ext-link-type="DOI">10.5194/acp-14-10363-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><?label 1?><mixed-citation>Walters, D., Baran, A. J., Boutle, I., Brooks, M., Earnshaw, P., Edwards, J., Furtado, K., Hill, P., Lock, A., Manners, J., Morcrette, C., Mulcahy, J., Sanchez, C., Smith, C., Stratton, R., Tennant, W., Tomassini, L., Van Weverberg, K., Vosper, S., Willett, M., Browse, J., Bushell, A., Carslaw, K., Dalvi, M., Essery, R., Gedney, N., Hardiman, S., Johnson, B., Johnson, C., Jones, A., Jones, C., Mann, G., Milton, S., Rumbold, H., Sellar, A., Ujiie, M., Whitall, M., Williams, K., and Zerroukat, M.: The Met Office Unified Model Global Atmosphere 7.0/7.1 and JULES Global Land 7.0 configurations, Geosci. Model Dev., 12, 1909–1963, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-1909-2019" ext-link-type="DOI">10.5194/gmd-12-1909-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><?label 1?><mixed-citation>Wang, M., Kong, W., Marten, R., He, X.-C., Chen, D., Pfeifer, J., Heitto, A., Kontkanen, J., Dada, L., Kürten, A., Yli-Juuti, T., Manninen, H. E., Amanatidis, S., Amorim, A., Baalbaki, R., Baccarini, A., Bell, D. M., Bertozzi, B., Bräkling, S., Brilke, S., Murillo, L. C., Chiu, R., Chu, B., De Menezes, L.-P., Duplissy, J., Finkenzeller, H., Carracedo, L. G., Granzin, M., Guida, R., Hansel, A., Hofbauer, V., Krechmer, J., Lehtipalo, K., Lamkaddam, H., Lampimäki, M., Lee, C. P., Makhmutov, V., Marie, G., Mathot, S., Mauldin, R. L., Mentler, B., Müller, T., Onnela, A., Partoll, E., Petäjä, T., Philippov, M., Pospisilova, V., Ranjithkumar, A., Rissanen, M., Rörup, B., Scholz, W., Shen, J., Simon, M., Sipilä, M., Steiner, G., Stolzenburg, D., Tham, Y. J., Tomé, A., Wagner, A. C., Wang, D. S., Wang, Y., Weber, S. K., Winkler, P. M., Wlasits, P. J., Wu, Y., Xiao, M., Ye, Q., Zauner-Wieczorek, M., Zhou, X., Volkamer, R., Riipinen, I., Dommen, J., Curtius, J., Baltensperger, U., Kulmala, M., Worsnop, D. R., Kirkby, J., Seinfeld, J. H., El-Haddad, I., Flagan, R. C., and Donahue, N. M.: Rapid growth of new atmospheric particles
by nitric acid and ammonia condensation, Nature, 581, 184–189, <ext-link xlink:href="https://doi.org/10.1038/s41586-020-2270-4" ext-link-type="DOI">10.1038/s41586-020-2270-4</ext-link>, 2020</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><?label 1?><mixed-citation>
Weast, R. C.: CRC Handbook of Chemistry and Physics, 1971–1972: A Ready
Reference Book of Chemical and Physical Data, 52nd edn., CRC Press, Cleveland, Ohio, USA, 1971.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><?label 1?><mixed-citation>
Wexler, A. S. and Seinfeld, J. H.: The distribution of ammonium salts among
a size and composition dispersed aerosol, Atmos. Environ., 24A, 1231–1246,
1990.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><?label 1?><mixed-citation>Womack, C. C., McDuffie, E. E., Edwards, P. M., Bares, R., Gouw, J. A. A.,
Docherty, K. S., Dubé, W. P., Fibiger, D. L., Franchin, A., Gilman, J.
B., Goldberger, L., Lee, B. H., Lin, J. C., Long, R., Middlebrook, A. M.,
Millet, D. B., Moravek, A., Murphy, J. G., Quinn, P. K., Riedel, T. P.,
Roberts, J. M., Thornton, J. A., Valin, L. C., Veres, P. R., Whitehill, A.
R., Wild, R. J., Warneke, C., Yuan, B., Baasandorj, M., and Brown, S. S.: An
Odd Oxygen Framework for Wintertime Ammonium Nitrate Aerosol Pollution in
Urban Areas: NOx and VOC Control as Mitigation Strategies, Geophys. Res.
Lett., 46, 4971–4979, <ext-link xlink:href="https://doi.org/10.1029/2019GL082028" ext-link-type="DOI">10.1029/2019GL082028</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><?label 1?><mixed-citation>
Woodward, S.: Modelling the atmospheric life cycle and radiative impact of
mineral dust in the Hadley Centre climate model, J. Geophys. Res., 106, 18155–18166, 2001.</mixed-citation></ref>
      <ref id="bib1.bib91"><label>91</label><?label 1?><mixed-citation>
World Health Organisation (WHO): World health statistics 2020: monitoring
health for the SDGs, sustainable development goals, World Health
Organization, Geneva, Licence: CC BY-NC-SA 3.0 IGO, 2020.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><?label 1?><mixed-citation>Xiao, H.-W., Xiao, H.-Y., Shen, C.-Y., Zhang, Z.-Y., and Long, A.-M.:
Chemical Composition and Sources of Marine Aerosol over the Western North
Pacific Ocean in Winter, Atmosphere, 9, 298, <ext-link xlink:href="https://doi.org/10.3390/atmos9080298" ext-link-type="DOI">10.3390/atmos9080298</ext-link>, 2018.</mixed-citation></ref>
      <?pagebreak page15927?><ref id="bib1.bib93"><label>93</label><?label 1?><mixed-citation>Xu, L. and Penner, J. E.: Global simulations of nitrate and ammonium aerosols and their radiative effects, Atmos. Chem. Phys., 12, 9479–9504, <ext-link xlink:href="https://doi.org/10.5194/acp-12-9479-2012" ext-link-type="DOI">10.5194/acp-12-9479-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><?label 1?><mixed-citation>Xu, R., Tian, H., Pan, S., Prior, S. A., Feng, Y., Batchelor, W. D., Chen,
J., and Yang, J.: Global ammonia emissions from synthetic nitrogen
fertilizer applications in agricultural systems: Empirical and process-based
estimates and uncertainty, Glob. Change Biol., 25, 314–326, <ext-link xlink:href="https://doi.org/10.1111/gcb.14499" ext-link-type="DOI">10.1111/gcb.14499</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><?label 1?><mixed-citation>Yienger, J. J., and Levy, H.: Empirical model of global soil-biogenic
<inline-formula><mml:math id="M932" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions, J. Geophys. Res., 100, 11447–11464, <ext-link xlink:href="https://doi.org/10.1029/95JD00370" ext-link-type="DOI">10.1029/95JD00370</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><?label 1?><mixed-citation>Yool, A., Popova, E. E., and Anderson, T. R.: MEDUSA-2.0: an intermediate complexity biogeochemical model of the marine carbon cycle for climate change and ocean acidification studies, Geosci. Model Dev., 6, 1767–1811, <ext-link xlink:href="https://doi.org/10.5194/gmd-6-1767-2013" ext-link-type="DOI">10.5194/gmd-6-1767-2013</ext-link>, 2013.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib97"><label>97</label><?label 1?><mixed-citation>Zaveri, R. A., Easter, R. C., Fast, J. D., and Peters, L. K.: Model for
Simulating Aerosol Interactions and Chemistry (MOSAIC), J. Geophys. Res.,
113, D13204, <ext-link xlink:href="https://doi.org/10.1029/2007JD008782" ext-link-type="DOI">10.1029/2007JD008782</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><?label 1?><mixed-citation>Zhong, Q., Shen, H., Yun, X., Chen, Y., Ren, Y., Xu, H., Shen, G., Du, W.,
Meng, J., Li, W., Ma, J., and Tao, S.: Global Sulfur Dioxide Emissions and
the Driving Forces, Environ. Sci. Technol., 54, 6508–6517, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b07696" ext-link-type="DOI">10.1021/acs.est.9b07696</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib99"><label>99</label><?label 1?><mixed-citation>Zhu, L., Henze, D. K., Bash, J. O., Cady-Pereira, K. E., Shephard, M. W.,
Luo, M., and Capps, S. L.: Sources and Impacts of Atmospheric <inline-formula><mml:math id="M933" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>:
Current Understanding and Frontiers for Modeling, Measurements, and Remote
Sensing in North America, Curr. Pollution Rep., 1, 95–116,
<ext-link xlink:href="https://doi.org/10.1007/s40726-015-0010-4" ext-link-type="DOI">10.1007/s40726-015-0010-4</ext-link>, 2015.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Exploring the sensitivity of atmospheric nitrate concentrations to nitric acid uptake rate using the Met Office's Unified Model</article-title-html>
<abstract-html><p>Ammonium nitrate is a major aerosol constituent over many land regions and
contributes to air pollution episodes, ecosystem destruction, regional haze,
and aerosol-induced climate forcing. Many climate models that represent
ammonium nitrate assume that the ammonium–sulfate–nitrate chemistry reaches
thermodynamic equilibrium instantaneously without considering kinetic
limitations on condensation rates. The Met Office's Unified Model (UM) is
employed to investigate the sensitivity of ammonium nitrate concentrations
to the nitric acid uptake coefficient (<i>γ</i>) in a newly developed
nitrate scheme in which first-order condensation theory is utilised to limit
the rate at which thermodynamic equilibrium is attained. Two values of
<i>γ</i> representing fast (<i>γ</i> = 0.193) and slow (<i>γ</i> = 0.001) uptake rates are tested in 20-year global UM integrations. The global burden of nitrate associated with ammonium in the <q>fast</q> simulation (0.11&thinsp;Tg[N]) is twice as great as in the <q>slow</q> simulation (0.05&thinsp;Tg[N]), while the top-of-the-atmosphere radiative impact of representing nitrate is −0.19&thinsp;W&thinsp;m<sup>−2</sup> in the fast simulation and −0.07&thinsp;W&thinsp;m<sup>−2</sup> in the slow simulation. In general, the fast simulation exhibits better spatial
correlation with observed nitrate concentrations, while the slow simulation
better resolves the magnitude of concentrations. Local near-surface nitrate
concentrations are found to be highly correlated with seasonal ammonia
emissions, suggesting that ammonia is the predominant limiting factor
controlling nitrate prevalence. This study highlights the high sensitivity
of ammonium nitrate concentrations to nitric acid uptake rates and provides
a novel mechanism for reducing nitrate concentration biases in climate model
simulations. The new UM nitrate scheme represents a step change in aerosol
modelling capability in the UK across weather and climate timescales.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Aas, W., Tsyro, S., Bieber, E., Bergström, R., Ceburnis, D., Ellermann, T., Fagerli, H., Frölich, M., Gehrig, R., Makkonen, U., Nemitz, E., Otjes, R., Perez, N., Perrino, C., Prévôt, A. S. H., Putaud, J.-P., Simpson, D., Spindler, G., Vana, M., and Yttri, K. E.: Lessons learnt from the first EMEP intensive measurement periods, Atmos. Chem. Phys., 12, 8073–8094, <a href="https://doi.org/10.5194/acp-12-8073-2012" target="_blank">https://doi.org/10.5194/acp-12-8073-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Ackermann, I. J., Hass, H., Memmesheimer, M., Ziegenbein, C., and Ebel, A.:
The parameterization of the sulfate-nitrate ammonia aerosol system in the
long-range transport model EURAD, Meteorol. Atmos. Phys., 57, 101–114,
1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Ansari, A. S. and Pandis, S. N.: Response of inorganic PM to precursor
concentrations, Environ. Sci. Technol., 32, 2706–2714, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Archibald, A. T., O'Connor, F. M., Abraham, N. L., Archer-Nicholls, S., Chipperfield, M. P., Dalvi, M., Folberth, G. A., Dennison, F., Dhomse, S. S., Griffiths, P. T., Hardacre, C., Hewitt, A. J., Hill, R. S., Johnson, C. E., Keeble, J., Köhler, M. O., Morgenstern, O., Mulcahy, J. P., Ordóñez, C., Pope, R. J., Rumbold, S. T., Russo, M. R., Savage, N. H., Sellar, A., Stringer, M., Turnock, S. T., Wild, O., and Zeng, G.: Description and evaluation of the UKCA stratosphere–troposphere chemistry scheme (StratTrop vn 1.0) implemented in UKESM1, Geosci. Model Dev., 13, 1223–1266, <a href="https://doi.org/10.5194/gmd-13-1223-2020" target="_blank">https://doi.org/10.5194/gmd-13-1223-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Atkinson, R.: Atmospheric Chemistry of VOCs and NO<sub><i>x</i></sub>, Atmos. Environ., 34,
2063–2101, <a href="https://doi.org/10.1016/S1352-2310(99)00460-4" target="_blank">https://doi.org/10.1016/S1352-2310(99)00460-4</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Ballard, S. S., Browder, J. S., and Ebersole, J. F.: Refractive index of
special crystals and certain glasses, in American Institute of Physics
Handbook, 3rd edn., McGraw-Hill, New York, 1972.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Bauer, S. E., Balkanski, Y., Schulz, M., Hauglustaine, D. A., and Dentener,
F.: Global modeling of heterogeneous chemistry on mineral aerosol surfaces:
influence on tropospheric ozone chemistry and comparison to observations, J.
Geophys. Res., 109, D02304, <a href="https://doi.org/10.1029/2003JD003868" target="_blank">https://doi.org/10.1029/2003JD003868</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Bauer, S. E., Koch, D., Unger, N., Metzger, S. M., Shindell, D. T., and
Streets, D. G.: Nitrate aerosols today and in 2030: a global simulation
including aerosols and tropospheric ozone, Atmos. Chem. Phys., 7,
5043–5059, <a href="https://doi.org/10.5194/acp-7-5043-2007" target="_blank">https://doi.org/10.5194/acp-7-5043-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Bauer, S. E., Tsigaridis, K., and Miller, R.: Significant atmospheric
aerosol pollution caused by world food cultivation, Geophys. Res. Lett., 43,
5394–5400, <a href="https://doi.org/10.1002/2016GL068354" target="_blank">https://doi.org/10.1002/2016GL068354</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Bellouin, N., Rae, J., Jones, A., Johnson, C., Haywood, J., and Boucher, O.:
Aerosol forcing in the Climate Model Intercomparison Project (CMIP5)
simulations by HadGEM2-ES and the role of ammonium nitrate, J. Geophys.
Res.-Atmos., 116, D20206, <a href="https://doi.org/10.1029/2011jd016074" target="_blank">https://doi.org/10.1029/2011jd016074</a>,
2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Bellouin, N., Mann, G. W., Woodhouse, M. T., Johnson, C., Carslaw, K. S., and Dalvi, M.: Impact of the modal aerosol scheme GLOMAP-mode on aerosol forcing in the Hadley Centre Global Environmental Model, Atmos. Chem. Phys., 13, 3027–3044, <a href="https://doi.org/10.5194/acp-13-3027-2013" target="_blank">https://doi.org/10.5194/acp-13-3027-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Bellouin, N., Quaas, J., Gryspeerdt, E., Kinne, S., Stier, P., WatsonParris,
D., Boucher, O., Carslaw, K., Christensen, M., Daniau, A.-L., Dufresne,
J.-L., Feingold, G., Fiedler, S., Forster, P., Gettelman, A., Haywood, J.,
Lohmann, U., Malavelle, F., Mauritsen, T., McCoy, D., Myhre, G.,
Mülmenstädt, J., Neubauer, D., Possner, A., Rugenstein, M., Sato,
Y., Schulz, M., Schwartz, S., Sourdeval, O., Storelvmo, T., Toll, V.,
Winker, D., and Stevens, B.: Bounding global aerosol radiative forcing of
climate change, Rev. Geophys., 58, e2019RG000660, <a href="https://doi.org/10.1029/2019RG000660" target="_blank">https://doi.org/10.1029/2019RG000660</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Benduhn, F., Mann, G. W., Pringle, K. J., Topping, D. O., McFiggans, G., and Carslaw, K. S.: Size-resolved simulations of the aerosol inorganic composition with the new hybrid dissolution solver HyDiS-1.0: description, evaluation and first global modelling results, Geosci. Model Dev., 9, 3875–3906, <a href="https://doi.org/10.5194/gmd-9-3875-2016" target="_blank">https://doi.org/10.5194/gmd-9-3875-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Bian, H., Chin, M., Hauglustaine, D. A., Schulz, M., Myhre, G., Bauer, S. E., Lund, M. T., Karydis, V. A., Kucsera, T. L., Pan, X., Pozzer, A., Skeie, R. B., Steenrod, S. D., Sudo, K., Tsigaridis, K., Tsimpidi, A. P., and Tsyro, S. G.: Investigation of global particulate nitrate from the AeroCom phase III experiment, Atmos. Chem. Phys., 17, 12911–12940, <a href="https://doi.org/10.5194/acp-17-12911-2017" target="_blank">https://doi.org/10.5194/acp-17-12911-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Bouwman, A. F., Lee, D. S., Asman, W. A. H., Dentener, F. J., Van Der Hoek,
K. W., and Olivier, J. G. J.: A Global High-Resolution Emission Inventory
for Ammonia, Global Biogeochem. Cy., 11, 561–587, <a href="https://doi.org/10.1029/97GB02266" target="_blank">https://doi.org/10.1029/97GB02266</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Buchard, V., Randles, C. A., da Silva, A. M., Darmenov, A., Colarco, P. R.,
Govindaraju, R., Ferrare, R., Hair, J., Beyersdorf, A. J., Ziemba, L. D.,
Yu, H., Buchard, V., Randles, C. A., Silva, A. M. da, Darmenov, A., Colarco,
P. R., Govindaraju, R., Ferrare, R., Hair, J., Beyersdorf, A. J., Ziemba, L.
D., and Yu, H.: The MERRA-2 Aerosol Reanalysis, 1980 Onward. Part II:
Evaluation and Case Studies, J. Climate, 30, 6851–6872,
<a href="https://doi.org/10.1175/JCLI-D-16-0613.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0613.1</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Carn, S. A., Fioletov, V. E., McLinden, C. A., Li, C., and Krotkov, N. A.: A
decade of global volcanic SO<sub>2</sub> emissions measured from space, Sci. Rep., 7,
44095, <a href="https://doi.org/10.1038/srep44095" target="_blank">https://doi.org/10.1038/srep44095</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Cleaver, B., Rhodes, E., and Ubbelohde, A. R.: Studies of phase
transformations in nitrates and nitrites I. Changes in ultra-violet
absorption spectra on melting, Proc. R. Soc. London, 276, 437–453,
<a href="https://doi.org/10.1098/rspa.1963.0217" target="_blank">https://doi.org/10.1098/rspa.1963.0217</a>, 1963.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Cotterell, M. I., Willoughby, R. E., Bzdek, B. R., Orr-Ewing, A. J., and Reid, J. P.: A complete parameterisation of the relative humidity and wavelength dependence of the refractive index of hygroscopic inorganic aerosol particles, Atmos. Chem. Phys., 17, 9837–9851, <a href="https://doi.org/10.5194/acp-17-9837-2017" target="_blank">https://doi.org/10.5194/acp-17-9837-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Crutzen, P. J.: The influence of nitrogen oxides on the atmospheric ozone
content, Q. J. Roy. Meteor. Soc., 96, 320–325, <a href="https://doi.org/10.1002/qj.49709640815" target="_blank">https://doi.org/10.1002/qj.49709640815</a>, 1970.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Department for Environment, Food and Rural Affairs (DEFRA): Report: Fine
Particulate Matter (PM2.5) in the United Kingdom, DEFRA, London, UK, 203 pp., available at: <a href="https://uk-air.defra.gov.uk/library/reports?report_id=727" target="_blank"/> (last access: 22 October 2021), 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Drugé, T., Nabat, P., Mallet, M., and Somot, S.: Model simulation of ammonium and nitrate aerosols distribution in the Euro-Mediterranean region and their radiative and climatic effects over 1979–2016, Atmos. Chem. Phys., 19, 3707–3731, <a href="https://doi.org/10.5194/acp-19-3707-2019" target="_blank">https://doi.org/10.5194/acp-19-3707-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Fairlie, T. D., Jacob, D. J., Dibb, J. E., Alexander, B., Avery, M. A., van Donkelaar, A., and Zhang, L.: Impact of mineral dust on nitrate, sulfate, and ozone in transpacific Asian pollution plumes, Atmos. Chem. Phys., 10, 3999–4012, <a href="https://doi.org/10.5194/acp-10-3999-2010" target="_blank">https://doi.org/10.5194/acp-10-3999-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Feng, Y. and Penner, J. E.: Global modeling of nitrate and ammonium:
Interaction of aerosols and tropospheric chemistry, J. Geophys. Res.,
112, D01304, <a href="https://doi.org/10.1029/2005jd006404" target="_blank">https://doi.org/10.1029/2005jd006404</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Feng, L., Smith, S. J., Braun, C., Crippa, M., Gidden, M. J., Hoesly, R., Klimont, Z., van Marle, M., van den Berg, M., and van der Werf, G. R.: The generation of gridded emissions data for CMIP6, Geosci. Model Dev., 13, 461–482, <a href="https://doi.org/10.5194/gmd-13-461-2020" target="_blank">https://doi.org/10.5194/gmd-13-461-2020</a>, 2020
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Finkelstein, P., Ellestad, T., Clarke, J., Meyers, T., Schwede, D., Hebert,
E., and Neal, J.: Ozone and sulfur dioxide dry deposition to forests:
Observations and model evaluation, J. Geophys. Res., 105, 15365–15377, <a href="https://doi.org/10.1029/2000JD900185" target="_blank">https://doi.org/10.1029/2000JD900185</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Fortems-Cheiney, A., Dufour, G., Hamaoui-Laguel, L., Foret, G., Siour, G.,
Van Damme, M., Meleux, F., Coheur, P.-F., Clerbaux, C., Clarisse, L., Favez,
O., Wallasch, M., and Beekmann, M.: Unaccounted variability in NH3
agricultural sources detected by IASI contributing to European spring haze
episode, Geophys. Res. Lett., 43, 5475–5482, <a href="https://doi.org/10.1002/2016GL069361" target="_blank">https://doi.org/10.1002/2016GL069361</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Fuchs, N. A. and Sutugin, A. G.: Highly Dispersed Aerosols,
Butterworth-Heinemann, Newton, Mass., USA, 105 pp., 1970.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Gerber, H. E.: Relative-humidity parameterization of the Navy Aerosol Model
(NAM), NRL Report 8956, Naval Research Laboratory, Washington, DC, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Giannakis, E., Kushta, J., Bruggeman, A., and Lelieveld, J.: Costs and
benefits of agricultural ammonia emission abatement options for compliance
with European air quality regulations, Environmental Sciences Europe, 31, 93, <a href="https://doi.org/10.1186/s12302-019-0275-0" target="_blank">https://doi.org/10.1186/s12302-019-0275-0</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Giorgi, F.: Climate change hot-spots, Geophys. Res. Lett., 33, L08707,
<a href="https://doi.org/10.1029/2006GL025734" target="_blank">https://doi.org/10.1029/2006GL025734</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Gordon, H., Field, P. R., Abel, S. J., Dalvi, M., Grosvenor, D. P., Hill, A. A., Johnson, B. T., Miltenberger, A. K., Yoshioka, M., and Carslaw, K. S.: Large simulated radiative effects of smoke in the south-east Atlantic, Atmos. Chem. Phys., 18, 15261–15289, <a href="https://doi.org/10.5194/acp-18-15261-2018" target="_blank">https://doi.org/10.5194/acp-18-15261-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Gosse, S. F., Wang, M., Labrie, D., and Chylek, P.: Imaginary part of the
refractive index of sulfates and nitrates in the 0.7–2.6&thinsp;µm spectral region, Appl. Optics, 36, 3622–3634, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Granier, C., Bessagnet, B., Bond, T., D'Angiola, A., Denier van der Gon, H.,
Frost, G. J., Heil, A., Kaiser, J. W., Kinne, S., Klimont, Z., Kloster, S.,
Lamarque, J.-F., Liousse, C., Masui, T., Meleux, F., Mieville, A., Ohara,
T., Raut, J.-C., Riahi, K., Schultz, M. G., Smith, S. J., Thompson, A., van
Aardenne, J., van der Werf, G. R., and van Vuuren, D. P.: Evolution of
anthropogenic and biomass burning emissions of air pollutants at global and
regional scales during the 1980–2010 period, Clim. Change, 109, 163–190,
<a href="https://doi.org/10.1007/s10584-011-0154-1" target="_blank">https://doi.org/10.1007/s10584-011-0154-1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Hardacre, C., Mulcahy, J. P., Pope, R., Jones, C. G., Rumbold, S. R., Li, C., and Turnock, S. T.: Evaluation of SO<sub>2</sub>, SO<sub>4</sub><sup>2−</sup> and an updated SO<sub>2</sub> dry deposition parameterization in UKESM1, Atmos. Chem. Phys. Discuss. [preprint], <a href="https://doi.org/10.5194/acp-2021-238" target="_blank">https://doi.org/10.5194/acp-2021-238</a>, in review, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Hauglustaine, D. A., Balkanski, Y., and Schulz, M.: A global model simulation of present and future nitrate aerosols and their direct radiative forcing of climate, Atmos. Chem. Phys., 14, 11031–11063, <a href="https://doi.org/10.5194/acp-14-11031-2014" target="_blank">https://doi.org/10.5194/acp-14-11031-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Hemmings, J. and Savage, N.: An Initial Evaluation of the GLOMAP-mode
Aerosol Scheme for UK Air-Quality Forecasting with AQUM, Met Office, Exeter, UK, Met Office Weather
Science Technical Report No. 632, 70 pp., available at:
<a href="https://www.metoffice.gov.uk/research/library-and-archive/publications/science/weather-science-technical-reports" target="_blank"/> (last access: 22 October 2021),
2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Hoesly, R. M., Smith, S. J., Feng, L., Klimont, Z., Janssens-Maenhout, G., Pitkanen, T., Seibert, J. J., Vu, L., Andres, R. J., Bolt, R. M., Bond, T. C., Dawidowski, L., Kholod, N., Kurokawa, J.-I., Li, M., Liu, L., Lu, Z., Moura, M. C. P., O'Rourke, P. R., and Zhang, Q.: Historical (1750–2014) anthropogenic emissions of reactive gases and aerosols from the Community Emissions Data System (CEDS), Geosci. Model Dev., 11, 369–408, <a href="https://doi.org/10.5194/gmd-11-369-2018" target="_blank">https://doi.org/10.5194/gmd-11-369-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Hsu, N. C., Jeong, M.-J., Bettenhausen, C., Sayer, A. M., Hansell, R.,
Seftor, C. S., Huang, J., and Tsay S.-C.: Enhanced Deep Blue aerosol
retrieval algorithm: The second generation, J. Geophys. Res.-Atmos., 118,
9296–9315, <a href="https://doi.org/10.1002/jgrd.50712" target="_blank">https://doi.org/10.1002/jgrd.50712</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Ivlev, L. S. and Popova, S. I.: Optical constants of substances of
atmospheric aerosol, Sov. Phys. J., 15, 703–707, <a href="https://doi.org/10.1007/BF00893039" target="_blank">https://doi.org/10.1007/BF00893039</a>, 1972.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Jacobson, M.: Numerical techniques to solve condensational and dissolutional
growth equations when growth is coupled to reversible aqueous reactions,
Aerosol Sci. Tech., 27, 491–498, <a href="https://doi.org/10.1080/02786829708965489" target="_blank">https://doi.org/10.1080/02786829708965489</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Jacobson, M. Z.: Isolating nitrated and aromatic aerosols and nitrated
aromatic gases as sources of ultraviolet light absorption, J. Geophys. Res.,
104, 3527–3542, <a href="https://doi.org/10.1029/1998JD100054" target="_blank">https://doi.org/10.1029/1998JD100054</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Jarzembski, M. A., Norman, M. L., Fuller, K. A., Srivastava, V., and Cutten,
D. R.: Complex refractive index of ammonium nitrate in the 2–20&thinsp;µm spectral range, Appl. Optics, 42, 922–930, <a href="https://doi.org/10.1364/AO.42.000922" target="_blank">https://doi.org/10.1364/AO.42.000922</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Jimenez, J. L., Canagaratna, M. R., Donahue, N. M., Prevot, A. S. H., Zhang,
Q., Kroll, J. H., DeCarlo, P. F., Allan, J. D., Coe, H., Ng, N. L., Aiken,
A. C., Docherty, K. S., Ulbrich, I. M., Grieshop, A. P., Robinson, A. L.,
Duplissy, J., Smith, J. D., Wilson, K. R., Lanz, V. A., Hueglin, C., Sun, Y.
L., Tian, J., Laaksonen, A., Raatikainen, T., Rautiainen, J., Vaattovaara,
P., Ehn, M., Kulmala, M., Tomlinson, J. M., Collins, D. R., Cubison, M. J.,
Dunlea, E. J., Huffman, J. A., Onasch, T. B., Alfarra, M. R., Williams, P.
I., Bower, K., Kondo, Y., Schneider, J., Drewnick, F., Borrmann, S., Weimer,
S., Demerjian, K., Salcedo, D., Cottrell, L., Griffin, R., Takami, A.,
Miyoshi, T., Hatakeyama, S., Shimono, A., Sun, J. Y., Zhang, Y. M., Dzepina,
K., Kimmel, J. R., Sueper, D., Jayne, J. T., Herndon, S. C., Trimborn, A.
M., Williams, L. R., Wood, E. C., Middlebrook, A. M., Kolb, C. E.,
Baltensperger, U., and Worsnop, D. R.: Evolution of organic aerosols in the
atmosphere, Science, 326,  1525–1529, <a href="https://doi.org/10.1126/science.1180353" target="_blank">https://doi.org/10.1126/science.1180353</a>,
2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Jones, A.C., Hill, A., Remy, S., Abraham, N. L., Dalvi, M., Hardacre, C., Hewitt, A. J., Johnson, B., Mulcahy, J. P., and Turnock, S.: Exploring the sensitivity of atmospheric nitrate concentrations to nitric acid uptake rate using the Met Office's Unified Model: nitrate and nitric acid simulation data, NERC EDS Centre for Environmental Data Analysis [data set], <a href="https://doi.org/10.5285/0613b74ecc574fa7b6ac8a22838c5f81" target="_blank">https://doi.org/10.5285/0613b74ecc574fa7b6ac8a22838c5f81</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Kucera, V. and Fitz, S.: Direct and indirect air pollution effects on
materials including cultural monuments, Water Air Soil Pollut., 85,
153–165, <a href="https://doi.org/10.1007/BF00483697" target="_blank">https://doi.org/10.1007/BF00483697</a> 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Lee, S.-H., Gordon, H., Yu, H., Lehtipalo, K., Haley, R., Li, Y., and Zhang,
R.: New particle formation in the atmosphere: From molecular clusters to
global climate. J. Geophys. Res.-Atmos., 124, 7098–7146, <a href="https://doi.org/10.1029/2018JD029356" target="_blank">https://doi.org/10.1029/2018JD029356</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Lelieveld, J., Evans, J. S., Fnais, M., Giannadaki, D., and Pozzer, A.: The
contribution of outdoor air pollution sources to premature mortality on a
global scale, Nature, 525, 367–371, <a href="https://doi.org/10.1038/nature15371" target="_blank">https://doi.org/10.1038/nature15371</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Levy, R. C., Mattoo, S., Munchak, L. A., Remer, L. A., Sayer, A. M., Patadia, F., and Hsu, N. C.: The Collection 6 MODIS aerosol products over land and ocean, Atmos. Meas. Tech., 6, 2989–3034, <a href="https://doi.org/10.5194/amt-6-2989-2013" target="_blank">https://doi.org/10.5194/amt-6-2989-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Li, W. J. and Shao, L. Y.: Observation of nitrate coatings on atmospheric mineral dust particles, Atmos. Chem. Phys., 9, 1863–1871, <a href="https://doi.org/10.5194/acp-9-1863-2009" target="_blank">https://doi.org/10.5194/acp-9-1863-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Li, Y., Schichtel, B. A., Walker, J. T., Schwede, D. B., Chen, X., Lehmann,
C. M. B., Puchalski, M. A., Gay, D. A., and Collett, J. L.: Increasing
importance of deposition of reduced nitrogen in the United States, P. Natl.
Acad. Sci. USA, 113, 5874–5879, <a href="https://doi.org/10.1073/pnas.1525736113" target="_blank">https://doi.org/10.1073/pnas.1525736113</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Liao, H., Adams, P. J., Chung, S. H., Seinfeld, J. H., Mickley, L. J., and
Jacob, D. J.: Interactions between tropospheric chemistry and aerosols in a
unified general circulation model, J. Geophys. Res., 108, 4001,
<a href="https://doi.org/10.1029/2001JD001260" target="_blank">https://doi.org/10.1029/2001JD001260</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Lovett, G. M., Tear, T. H., Evers, D. C., Findlay, S. E. G., Cosby, B.
J., Dunscomb, J. K., Driscoll, C. T., and Weathers, K. C.: Effects of air
pollution on ecosystems and biological diversity in the eastern United
States, Ann. NY Acad. Sci., 1162, 99–135,
<a href="https://doi.org/10.1111/j.1749-6632.2009.04153.x" target="_blank">https://doi.org/10.1111/j.1749-6632.2009.04153.x</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Makar, P. A., Wiebe, H. A., Staebler, R. M., Li, S.-M., and Anlauf, K.:
Measurement and modelling of particle nitrate formation, J. Geophys.
Res.-Atmos., 103, 13095–13110, <a href="https://doi.org/10.1029/98JD00978" target="_blank">https://doi.org/10.1029/98JD00978</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Mann, G. W., Carslaw, K. S., Spracklen, D. V., Ridley, D. A., Manktelow, P. T., Chipperfield, M. P., Pickering, S. J., and Johnson, C. E.: Description and evaluation of GLOMAP-mode: a modal global aerosol microphysics model for the UKCA composition-climate model, Geosci. Model Dev., 3, 519–551, <a href="https://doi.org/10.5194/gmd-3-519-2010" target="_blank">https://doi.org/10.5194/gmd-3-519-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
McDuffie, E. E., Smith, S. J., O'Rourke, P., Tibrewal, K., Venkataraman, C., Marais, E. A., Zheng, B., Crippa, M., Brauer, M., and Martin, R. V.: A global anthropogenic emission inventory of atmospheric pollutants from sector- and fuel-specific sources (1970–2017): an application of the Community Emissions Data System (CEDS), Earth Syst. Sci. Data, 12, 3413–3442, <a href="https://doi.org/10.5194/essd-12-3413-2020" target="_blank">https://doi.org/10.5194/essd-12-3413-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Metzger, S., Dentener, F., Pandis, S., and Lelieveld, J.: Gas/aerosol
partitioning: 1. A computationally efficient model, J. Geophys. Res., 107,
D164312, <a href="https://doi.org/10.1029/2001JD001102" target="_blank">https://doi.org/10.1029/2001JD001102</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Monks, P. S., Granier, C., Fuzzi, S., Stohl, A., Williams, M. L., Akimoto,
H., Amann, M., Baklanov, A., Baltensperger, U., Bey, I., Blake, N., Blake,
R. S., Carslaw, K., Cooper, O. R., Dentener, F., Fowler, D., Fragkou, E.,
Frost, G. J., Generoso, S., Ginoux, P., Grewe, V., Guenther, A., Hansson, H.
C., Henne, S., Hjorth, J., Hofzumahaus, A., Huntrieser, H., Isaksen, I. S.
A., Jenkin, M. E., Kaiser, J., Kanakidou, M., Klimont, Z., Kulmala, M., Laj,
P., Lawrence, M. G., Lee, J. D., Liousse, C., Maione, M., McFiggans, G.,
Metzger, A., Mieville, A., Moussiopoulos, N., Orlando, J. J., O'Dowd, C. D.,
Palmer, P. I., Parrish, D. D., Petzold, A., Platt, U., Poeschl, U., Prevot,
A. S. H., Reeves, C. E., Reimann, S., Rudich, Y., Sellegri, K.,
Steinbrecher, R., Simpson, D., ten Brink, H., Theloke, J., van der Werf, G.
R., Vautard, R., Vestreng, V., Vlachokostas, C., and von Glasow, R.:
Atmospheric composition change – global and regional air quality, Atmos.
Environ., 43, 5268–5350, <a href="https://doi.org/10.1016/j.atmosenv.2009.08.021" target="_blank">https://doi.org/10.1016/j.atmosenv.2009.08.021</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Mozurkewich, M.: The dissociation constant of ammonium nitrate and its
dependence on temperature, relative humidity and particle size, Atmos.
Environ. A-Gen., 27, 261–270, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Mulcahy, J. P., Johnson, C., Jones, C. G., Povey, A. C., Scott, C. E., Sellar, A., Turnock, S. T., Woodhouse, M. T., Abraham, N. L., Andrews, M. B., Bellouin, N., Browse, J., Carslaw, K. S., Dalvi, M., Folberth, G. A., Glover, M., Grosvenor, D. P., Hardacre, C., Hill, R., Johnson, B., Jones, A., Kipling, Z., Mann, G., Mollard, J., O'Connor, F. M., Palmiéri, J., Reddington, C., Rumbold, S. T., Richardson, M., Schutgens, N. A. J., Stier, P., Stringer, M., Tang, Y., Walton, J., Woodward, S., and Yool, A.: Description and evaluation of aerosol in UKESM1 and HadGEM3-GC3.1 CMIP6 historical simulations, Geosci. Model Dev., 13, 6383–6423, <a href="https://doi.org/10.5194/gmd-13-6383-2020" target="_blank">https://doi.org/10.5194/gmd-13-6383-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Myhre, G., Grini, A., and Metzger, S.: Modelling of nitrate and ammonium-containing aerosols in presence of sea salt, Atmos. Chem. Phys., 6, 4809–4821, <a href="https://doi.org/10.5194/acp-6-4809-2006" target="_blank">https://doi.org/10.5194/acp-6-4809-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Myhre, G., Samset, B. H., Schulz, M., Balkanski, Y., Bauer, S., Berntsen, T. K., Bian, H., Bellouin, N., Chin, M., Diehl, T., Easter, R. C., Feichter, J., Ghan, S. J., Hauglustaine, D., Iversen, T., Kinne, S., Kirkevåg, A., Lamarque, J.-F., Lin, G., Liu, X., Lund, M. T., Luo, G., Ma, X., van Noije, T., Penner, J. E., Rasch, P. J., Ruiz, A., Seland, Ø., Skeie, R. B., Stier, P., Takemura, T., Tsigaridis, K., Wang, P., Wang, Z., Xu, L., Yu, H., Yu, F., Yoon, J.-H., Zhang, K., Zhang, H., and Zhou, C.: Radiative forcing of the direct aerosol effect from AeroCom Phase II simulations, Atmos. Chem. Phys., 13, 1853–1877, <a href="https://doi.org/10.5194/acp-13-1853-2013" target="_blank">https://doi.org/10.5194/acp-13-1853-2013</a>,
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Nenes, A., Pandis, S. N., and Pilinis, C.: ISORROPIA: A new thermodynamic
equilibrium model for multiphase multicomponent inorganic aerosols, Aquat.
Geochem., 4, 123–152, <a href="https://doi.org/10.1023/A:1009604003981" target="_blank">https://doi.org/10.1023/A:1009604003981</a>,
1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Palik, E. D. (Ed.) and Khanna, R.: Sodium Nitrate (NaNO<sub>3</sub>), in: Handbook of Optical Constants, Academic Press, New York,  3, p. 871, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Park, R. J., Jacob, D. J., Field, B. D., Yantosca, R. M., and Chin, M.:
Natural and transboundary pollution influences on sulfate-nitrate-ammonium
aerosols in the United States: Implications for policy, J. Geophys. Res.,
109, D15204, <a href="https://doi.org/10.1029/2003JD004473" target="_blank">https://doi.org/10.1029/2003JD004473</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Paulot, F., Ginoux, P., Cooke, W. F., Donner, L. J., Fan, S., Lin, M.-Y., Mao, J., Naik, V., and Horowitz, L. W.: Sensitivity of nitrate aerosols to ammonia emissions and to nitrate chemistry: implications for present and future nitrate optical depth, Atmos. Chem. Phys., 16, 1459–1477, <a href="https://doi.org/10.5194/acp-16-1459-2016" target="_blank">https://doi.org/10.5194/acp-16-1459-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Putaud, J. P., Raes, F., Van Dingenen, R., Bruggemann, E., Faccini, M. C.,
Decesari, S., Fuzzi, S., Gehrig, R., Huglin, C., Laj, P., Lorbeer, G.,
Maenhaut, W., Mihalopoulos, N., Muller, K., Querol, X., Rodriguez, S.,
Schneider, J., Spindler, G., ten Brink, H., Tørseth, K., and
Wiedensohler, A.: A European aerosol phenomenology 2: chemical
characteristics of particulate matter at kerbside, urban, rural and
background sites in Europe, Atmos. Environ., 38, 2579–2595, 2004
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Randles, C. A., da Silva, A. M., Buchard, V., Colarco, P. R., Darmenov, A.,
Govindaraju, R., Smirnov, A., Holben, B., Ferrare, R., Hair, J., Shinozuka,
Y., Flynn, C. J., Randles, C. A., Silva, A. M. da, Buchard, V., Colarco, P.
R., Darmenov, A., Govindaraju, R., Smirnov, A., Holben, B., Ferrare, R.,
Hair, J., Shinozuka, Y., and Flynn, C. J.: The MERRA-2 Aerosol Reanalysis,
1980 Onward. Part I: System Description and Data Assimilation Evaluation, J.
Climate, 30, 6823–6850, <a href="https://doi.org/10.1175/JCLI-D-16-0609.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0609.1</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Reddington, C. L., Carslaw, K. S., Stier, P., Schutgens, N., Coe, H., Liu,
D., Allan, J., Browse, J., Pringle, K. J., Lee, L. A., Yoshioka, M.,
Johnson, J. S., Regayre, L. A., Spracklen, D. V., Mann, G. W., Clarke, A.,
Hermann, M., Henning, S., Wex, H., Kristensen, T. B., Leaitch, W. R.,
Pöschl, U., Rose, D., Andreae, M. O., Schmale, J., Kondo, Y., Oshima,
N., Schwarz, J. P., Nenes, A., Anderson, B., Roberts, G. C., Snider, J. R.,
Leck, C., Quinn, P. K., Chi, X., Ding, A., Jimenez, J. L., and Zhang, Q.:
The global aerosol synthesis and science project (GASSP): Measurements and
modeling to reduce uncertainty, B. Am. Meteorol. Soc., 98, 1857–1877,
<a href="https://doi.org/10.1175/BAMS-D-15-00317.1" target="_blank">https://doi.org/10.1175/BAMS-D-15-00317.1</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
Rémy, S., Kipling, Z., Flemming, J., Boucher, O., Nabat, P., Michou, M., Bozzo, A., Ades, M., Huijnen, V., Benedetti, A., Engelen, R., Peuch, V.-H., and Morcrette, J.-J.: Description and evaluation of the tropospheric aerosol scheme in the European Centre for Medium-Range Weather Forecasts (ECMWF) Integrated Forecasting System (IFS-AER, cycle 45R1), Geosci. Model Dev., 12, 4627–4659, <a href="https://doi.org/10.5194/gmd-12-4627-2019" target="_blank">https://doi.org/10.5194/gmd-12-4627-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Sander, S. P., Abbatt, J., Barker, J. R., Burkholder, J. B., Friedl, R. R.,
Golden, D. M., Huie, R. E., Kolb, C. E., Kurylo, M. J., Moortgat, G. K.,
Orkin, V. L., and Wine, P. H.: Chemical Kinetics and Photochemical Data for
Use in Atmospheric Studies, Evaluation No. 17, JPL Publication 10-6, Jet
Propulsion Laboratory, Pasadena, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Savage, N. H., Agnew, P., Davis, L. S., Ordóñez, C., Thorpe, R.,
Johnson, C. E., O'Connor, F. M., and Dalvi, M.: Air quality modelling using
the Met Office Unified Model (AQUM OS24-26): model description and initial
evaluation, Geosci. Model Dev., 6, 353–372, <a href="https://doi.org/10.5194/gmd-6-353-2013" target="_blank">https://doi.org/10.5194/gmd-6-353-2013</a>,
2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
Schwartz, S. E.: Mass transport considerations pertinent to aqueous phase
reactions of gases in liquid-water clouds, in: Chemistry of Multiphase
Atmospheric Systems, edited by: Jaeschke, W., Springer, New York,
415–471, 1986.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
Seinfeld, J. H. and Pandis, S. N.: Atmospheric Chemistry and Physics: From
Air Pollution to Climate Change, John, Wiley &amp; Sons, Inc., New York, USA, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
Sellar, A., Jones, C. G., Mulcahy, J. P., Tang, Y., Yool, A., Wiltshire, A.,
O'Connor, F. M., Stringer, M., Hill, R., Palmieri, J., Woodward, S., de
Mora, L., Kuhlbrodt, T., Rumbold, S., Kelley, D. I., Ellis, R., Johnson, C.
E., Walton, J., Abraham, N. L., Andrews, M. B., Andrews, T., Archibald, A.
T., Berthou, S., Burke, E., Blockley, E., Carslaw, K., Dalvi, M., Edwards,
J., Folberth, G. A., Gedney, N., Griffiths, P. T., Harper, A. B., Hendry, M.
A., Hewitt, A. J., Johnson, B., Jones, A., Jones, C. D., Keeble, J.,
Liddicoat, S., Morgenstern, O., Parker, R. J., Predoi, V., Robertson, E.,
Siahaan, A., Smith, R. S., Swaminathan, R., Woodhouse, M., Zeng, G., and
Zerroukat, M.: UKESM1: Description and evaluation of the UK Earth System
Model, J. Adv. Model. Earth Sy., 11, 4513–4558, <a href="https://doi.org/10.1029/2019MS001739" target="_blank">https://doi.org/10.1029/2019MS001739</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
Sellar, A., Walton, J., Jones, C. G., Wood, R., Abraham, N. L., Andrejczuk,
M., Andrews, M. B., Andrews, T., Archibald, A. T., Dyson, H., Elkington, M.,
Ellis, R., Florek, P., Good, P., Gohar, L., Haddad, S., Hardiman, S. C.,
Hogan, E., Iwi, A., Jones, C. D., Johnson, B., Kelley, D. I., Kettleborough,
J., Knight, J. R., Köhler, M. O., Kuhlbrodt, T., Liddicoat, S.,
Linova-Pavlova, I., Mizielinski, M. S., Morgenstern, O., Mulcahy, J.,
Neininger, E., O'Connor, F. M., Petrie, R., Ridley, J., Rioual, J.-C.,
Roberts, M., Robertson, E., Rumbold, S., Seddon, J., Shepherd, H., Shim, S.,
Stephens, A., Teixeira, J. C., Tang, Y., Williams, J., and Wiltshire, A.:
Implementation of UK Earth system models for CMIP6, J.
Adv. Model. Earth Sy., 12, e2019MS001946, <a href="https://doi.org/10.1029/2019MS001946" target="_blank">https://doi.org/10.1029/2019MS001946</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
Shah, V., Jaeglé, L., Thornton, J. A., Lopez-Hilfiker, F. D., Lee, B.
H., Schroder, J. C., Campuzano-Jost, P., Jimenez, J. L., Guo, H., Sullivan,
A. P., Weber, R. J., Green, J. R., Fiddler, M. N., Bililign, S., Campos, T.
L., Stell, M., Weinheimer, A. J., Montzka, D. D., and Brown, S. S.: Chemical
feedbacks weaken the wintertime response of particulate sulfate and nitrate
to emissions reductions over the eastern United States, P. Natl. Acad. Sci.
USA, 115, 8110–8115, <a href="https://doi.org/10.1073/pnas.1803295115" target="_blank">https://doi.org/10.1073/pnas.1803295115</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Smith, C., Hill, A. K., and Torrente-Murciano, L.: Current and future role
of Haber–Bosch ammonia in a carbon-free energy landscape, Energy Environ.
Sci., 13, 331–344, <a href="https://doi.org/10.1039/c9ee02873k" target="_blank">https://doi.org/10.1039/c9ee02873k</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
Tørseth, K., Aas, W., Breivik, K., Fjæraa, A. M., Fiebig, M., Hjellbrekke, A. G., Lund Myhre, C., Solberg, S., and Yttri, K. E.: Introduction to the European Monitoring and Evaluation Programme (EMEP) and observed atmospheric composition change during 1972–2009, Atmos. Chem. Phys., 12, 5447–5481, <a href="https://doi.org/10.5194/acp-12-5447-2012" target="_blank">https://doi.org/10.5194/acp-12-5447-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
Turnock, S. T., Allen, R. J., Andrews, M., Bauer, S. E., Deushi, M., Emmons, L., Good, P., Horowitz, L., John, J. G., Michou, M., Nabat, P., Naik, V., Neubauer, D., O'Connor, F. M., Olivié, D., Oshima, N., Schulz, M., Sellar, A., Shim, S., Takemura, T., Tilmes, S., Tsigaridis, K., Wu, T., and Zhang, J.: Historical and future changes in air pollutants from CMIP6 models, Atmos. Chem. Phys., 20, 14547–14579, <a href="https://doi.org/10.5194/acp-20-14547-2020" target="_blank">https://doi.org/10.5194/acp-20-14547-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
Twigg, M. M., Ilyinskaya, E., Beccaceci, S., Green, D. C., Jones, M. R., Langford, B., Leeson, S. R., Lingard, J. J. N., Pereira, G. M., Carter, H., Poskitt, J., Richter, A., Ritchie, S., Simmons, I., Smith, R. I., Tang, Y. S., Van Dijk, N., Vincent, K., Nemitz, E., Vieno, M., and Braban, C. F.: Impacts of the 2014–2015 Holuhraun eruption on the UK atmosphere, Atmos. Chem. Phys., 16, 11415–11431, <a href="https://doi.org/10.5194/acp-16-11415-2016" target="_blank">https://doi.org/10.5194/acp-16-11415-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
van Marle, M. J. E., Kloster, S., Magi, B. I., Marlon, J. R., Daniau, A.-L., Field, R. D., Arneth, A., Forrest, M., Hantson, S., Kehrwald, N. M., Knorr, W., Lasslop, G., Li, F., Mangeon, S., Yue, C., Kaiser, J. W., and van der Werf, G. R.: Historic global biomass burning emissions for CMIP6 (BB4CMIP) based on merging satellite observations with proxies and fire models (1750–2015), Geosci. Model Dev., 10, 3329–3357, <a href="https://doi.org/10.5194/gmd-10-3329-2017" target="_blank">https://doi.org/10.5194/gmd-10-3329-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
Vlasenko, A., Sjogren, S., Weingartner, E., Stemmler, K., Gäggeler, H. W., and Ammann, M.: Effect of humidity on nitric acid uptake to mineral dust aerosol particles, Atmos. Chem. Phys., 6, 2147–2160, <a href="https://doi.org/10.5194/acp-6-2147-2006" target="_blank">https://doi.org/10.5194/acp-6-2147-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>
Vinken, G. C. M., Boersma, K. F., Maasakkers, J. D., Adon, M., and Martin, R. V.: Worldwide biogenic soil NO<sub><i>x</i></sub> emissions inferred from OMI NO<sub>2</sub> observations, Atmos. Chem. Phys., 14, 10363–10381, <a href="https://doi.org/10.5194/acp-14-10363-2014" target="_blank">https://doi.org/10.5194/acp-14-10363-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>
Walters, D., Baran, A. J., Boutle, I., Brooks, M., Earnshaw, P., Edwards, J., Furtado, K., Hill, P., Lock, A., Manners, J., Morcrette, C., Mulcahy, J., Sanchez, C., Smith, C., Stratton, R., Tennant, W., Tomassini, L., Van Weverberg, K., Vosper, S., Willett, M., Browse, J., Bushell, A., Carslaw, K., Dalvi, M., Essery, R., Gedney, N., Hardiman, S., Johnson, B., Johnson, C., Jones, A., Jones, C., Mann, G., Milton, S., Rumbold, H., Sellar, A., Ujiie, M., Whitall, M., Williams, K., and Zerroukat, M.: The Met Office Unified Model Global Atmosphere 7.0/7.1 and JULES Global Land 7.0 configurations, Geosci. Model Dev., 12, 1909–1963, <a href="https://doi.org/10.5194/gmd-12-1909-2019" target="_blank">https://doi.org/10.5194/gmd-12-1909-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation>
Wang, M., Kong, W., Marten, R., He, X.-C., Chen, D., Pfeifer, J., Heitto, A., Kontkanen, J., Dada, L., Kürten, A., Yli-Juuti, T., Manninen, H. E., Amanatidis, S., Amorim, A., Baalbaki, R., Baccarini, A., Bell, D. M., Bertozzi, B., Bräkling, S., Brilke, S., Murillo, L. C., Chiu, R., Chu, B., De Menezes, L.-P., Duplissy, J., Finkenzeller, H., Carracedo, L. G., Granzin, M., Guida, R., Hansel, A., Hofbauer, V., Krechmer, J., Lehtipalo, K., Lamkaddam, H., Lampimäki, M., Lee, C. P., Makhmutov, V., Marie, G., Mathot, S., Mauldin, R. L., Mentler, B., Müller, T., Onnela, A., Partoll, E., Petäjä, T., Philippov, M., Pospisilova, V., Ranjithkumar, A., Rissanen, M., Rörup, B., Scholz, W., Shen, J., Simon, M., Sipilä, M., Steiner, G., Stolzenburg, D., Tham, Y. J., Tomé, A., Wagner, A. C., Wang, D. S., Wang, Y., Weber, S. K., Winkler, P. M., Wlasits, P. J., Wu, Y., Xiao, M., Ye, Q., Zauner-Wieczorek, M., Zhou, X., Volkamer, R., Riipinen, I., Dommen, J., Curtius, J., Baltensperger, U., Kulmala, M., Worsnop, D. R., Kirkby, J., Seinfeld, J. H., El-Haddad, I., Flagan, R. C., and Donahue, N. M.: Rapid growth of new atmospheric particles
by nitric acid and ammonia condensation, Nature, 581, 184–189, <a href="https://doi.org/10.1038/s41586-020-2270-4" target="_blank">https://doi.org/10.1038/s41586-020-2270-4</a>, 2020
</mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation>
Weast, R. C.: CRC Handbook of Chemistry and Physics, 1971–1972: A Ready
Reference Book of Chemical and Physical Data, 52nd edn., CRC Press, Cleveland, Ohio, USA, 1971.
</mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation>
Wexler, A. S. and Seinfeld, J. H.: The distribution of ammonium salts among
a size and composition dispersed aerosol, Atmos. Environ., 24A, 1231–1246,
1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation>
Womack, C. C., McDuffie, E. E., Edwards, P. M., Bares, R., Gouw, J. A. A.,
Docherty, K. S., Dubé, W. P., Fibiger, D. L., Franchin, A., Gilman, J.
B., Goldberger, L., Lee, B. H., Lin, J. C., Long, R., Middlebrook, A. M.,
Millet, D. B., Moravek, A., Murphy, J. G., Quinn, P. K., Riedel, T. P.,
Roberts, J. M., Thornton, J. A., Valin, L. C., Veres, P. R., Whitehill, A.
R., Wild, R. J., Warneke, C., Yuan, B., Baasandorj, M., and Brown, S. S.: An
Odd Oxygen Framework for Wintertime Ammonium Nitrate Aerosol Pollution in
Urban Areas: NOx and VOC Control as Mitigation Strategies, Geophys. Res.
Lett., 46, 4971–4979, <a href="https://doi.org/10.1029/2019GL082028" target="_blank">https://doi.org/10.1029/2019GL082028</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>
Woodward, S.: Modelling the atmospheric life cycle and radiative impact of
mineral dust in the Hadley Centre climate model, J. Geophys. Res., 106, 18155–18166, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation>
World Health Organisation (WHO): World health statistics 2020: monitoring
health for the SDGs, sustainable development goals, World Health
Organization, Geneva, Licence: CC BY-NC-SA 3.0 IGO, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation>
Xiao, H.-W., Xiao, H.-Y., Shen, C.-Y., Zhang, Z.-Y., and Long, A.-M.:
Chemical Composition and Sources of Marine Aerosol over the Western North
Pacific Ocean in Winter, Atmosphere, 9, 298, <a href="https://doi.org/10.3390/atmos9080298" target="_blank">https://doi.org/10.3390/atmos9080298</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation>
Xu, L. and Penner, J. E.: Global simulations of nitrate and ammonium aerosols and their radiative effects, Atmos. Chem. Phys., 12, 9479–9504, <a href="https://doi.org/10.5194/acp-12-9479-2012" target="_blank">https://doi.org/10.5194/acp-12-9479-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation>
Xu, R., Tian, H., Pan, S., Prior, S. A., Feng, Y., Batchelor, W. D., Chen,
J., and Yang, J.: Global ammonia emissions from synthetic nitrogen
fertilizer applications in agricultural systems: Empirical and process-based
estimates and uncertainty, Glob. Change Biol., 25, 314–326, <a href="https://doi.org/10.1111/gcb.14499" target="_blank">https://doi.org/10.1111/gcb.14499</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation>
Yienger, J. J., and Levy, H.: Empirical model of global soil-biogenic
NO<sub><i>x</i></sub> emissions, J. Geophys. Res., 100, 11447–11464, <a href="https://doi.org/10.1029/95JD00370" target="_blank">https://doi.org/10.1029/95JD00370</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation>
Yool, A., Popova, E. E., and Anderson, T. R.: MEDUSA-2.0: an intermediate complexity biogeochemical model of the marine carbon cycle for climate change and ocean acidification studies, Geosci. Model Dev., 6, 1767–1811, <a href="https://doi.org/10.5194/gmd-6-1767-2013" target="_blank">https://doi.org/10.5194/gmd-6-1767-2013</a>, 2013.

</mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation>
Zaveri, R. A., Easter, R. C., Fast, J. D., and Peters, L. K.: Model for
Simulating Aerosol Interactions and Chemistry (MOSAIC), J. Geophys. Res.,
113, D13204, <a href="https://doi.org/10.1029/2007JD008782" target="_blank">https://doi.org/10.1029/2007JD008782</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation>
Zhong, Q., Shen, H., Yun, X., Chen, Y., Ren, Y., Xu, H., Shen, G., Du, W.,
Meng, J., Li, W., Ma, J., and Tao, S.: Global Sulfur Dioxide Emissions and
the Driving Forces, Environ. Sci. Technol., 54, 6508–6517, <a href="https://doi.org/10.1021/acs.est.9b07696" target="_blank">https://doi.org/10.1021/acs.est.9b07696</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation>
Zhu, L., Henze, D. K., Bash, J. O., Cady-Pereira, K. E., Shephard, M. W.,
Luo, M., and Capps, S. L.: Sources and Impacts of Atmospheric NH<sub>3</sub>:
Current Understanding and Frontiers for Modeling, Measurements, and Remote
Sensing in North America, Curr. Pollution Rep., 1, 95–116,
<a href="https://doi.org/10.1007/s40726-015-0010-4" target="_blank">https://doi.org/10.1007/s40726-015-0010-4</a>, 2015.
</mixed-citation></ref-html>--></article>
