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  <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-19-3981-2019</article-id><title-group><article-title>The role of chlorine in global tropospheric chemistry</article-title><alt-title>The role of chlorine in global tropospheric chemistry</alt-title>
      </title-group><?xmltex \runningtitle{{The role of chlorine in global tropospheric chemistry}}?><?xmltex \runningauthor{X. Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wang</surname><given-names>Xuan</given-names></name>
          <email>wangx@seas.harvard.edu</email>
        <ext-link>https://orcid.org/0000-0002-8532-5773</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Jacob</surname><given-names>Daniel J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Eastham</surname><given-names>Sebastian D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2476-4801</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sulprizio</surname><given-names>Melissa P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhu</surname><given-names>Lei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3919-3095</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Chen</surname><given-names>Qianjie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4737-5179</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Alexander</surname><given-names>Becky</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9915-4621</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6 aff7">
          <name><surname>Sherwen</surname><given-names>Tomás</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3006-3876</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6 aff7">
          <name><surname>Evans</surname><given-names>Mathew J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4775-032X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Lee</surname><given-names>Ben H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Haskins</surname><given-names>Jessica D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Lopez-Hilfiker</surname><given-names>Felipe D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Thornton</surname><given-names>Joel A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Huey</surname><given-names>Gregory L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0518-7690</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Liao</surname><given-names>Hong</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Engineering and Applied Sciences, Harvard University,
Cambridge, Massachusetts, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Earth and Planetary Sciences, Harvard
University, Cambridge, Massachusetts, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratory for Aviation and the Environment, Massachusetts
Institute of Technology, Cambridge, Massachusetts, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Chemistry, University of Michigan, Ann Arbor, Michigan,
USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Atmospheric Sciences, University of Washington,
Seattle, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Wolfson Atmospheric Chemistry Laboratories, Department of Chemistry,
University of York, York, UK</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>National Centre for Atmospheric Science, University of York, York,
UK</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Laboratory of Atmospheric Chemistry, Paul Scherrer Institute, Villigen, Switzerland</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>School of Earth and Atmospheric Science, Georgia Institute of
Technology, Atlanta, GA, USA</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>School of Environmental Science and Engineering, Nanjing
University<?xmltex \hack{\break}?>
of Information Science and Technology, Nanjing, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xuan Wang (wangx@seas.harvard.edu)</corresp></author-notes><pub-date><day>29</day><month>March</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>6</issue>
      <fpage>3981</fpage><lpage>4003</lpage>
      <history>
        <date date-type="received"><day>11</day><month>October</month><year>2018</year></date>
           <date date-type="rev-request"><day>19</day><month>October</month><year>2018</year></date>
           <date date-type="rev-recd"><day>3</day><month>March</month><year>2019</year></date>
           <date date-type="accepted"><day>6</day><month>March</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</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="d1e273">We present a comprehensive simulation of tropospheric chlorine
within the GEOS-Chem global 3-D model of oxidant–aerosol–halogen atmospheric
chemistry. The simulation includes explicit accounting of chloride
mobilization from sea salt aerosol by acid displacement of HCl and by other
heterogeneous processes. Additional small sources of tropospheric chlorine
(combustion, organochlorines, transport from stratosphere) are also included.
Reactive gas-phase chlorine Cl<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>, including Cl, ClO, <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, BrCl, ICl,
HOCl, <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and minor species, is produced by the
<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> reaction and by heterogeneous conversion of sea salt aerosol
chloride to BrCl, <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and ICl. The model
successfully simulates the observed mixing ratios of HCl in marine air
(highest at northern midlatitudes) and the associated <inline-formula><mml:math id="M8" 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>
decrease from acid displacement. It captures the high <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratios observed in continental surface air at night and attributes the
chlorine to HCl volatilized from sea salt aerosol and transported inland
following uptake by fine aerosol. The model successfully simulates the
vertical profiles of HCl measured from aircraft, where enhancements in the
continental boundary layer can again be largely explained by transport inland
of the marine source. It does not reproduce the boundary layer <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing ratios measured in the WINTER aircraft campaign (1–5 ppt in the
daytime, low at night); the model is too high at night, which could be due to
uncertainty in the rate of the <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reaction, but we have
no explanation for the high observed <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in daytime. The global
mean tropospheric concentration of Cl atoms in the model is 620 cm<inline-formula><mml:math id="M13" 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>
and contributes 1.0 % of the global oxidation of methane, 20 % of
ethane, 14 % of propane, and 4 % of methanol. Chlorine chemistry
increases global mean tropospheric BrO by 85 %, mainly through the
<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reaction, and decreases global burdens of tropospheric
ozone by 7 % and OH by 3 % through the associated bromine radical
chemistry. <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry drives increases in ozone of up to
8 ppb over polluted continents in winter.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e463">Mobilization of chloride (<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) from sea salt aerosol (SSA) is a large
source of chlorine gases to the troposphere (Graedel and Keene, 1995;
Finlayson-Pitts, 2003). These gases may generate chlorine radicals with a
broad range of implications for tropospheric chemistry including the budgets
of ozone, OH (the main tropospheric oxidant), volatile organic<?pagebreak page3982?> compounds
(VOCs), nitrogen oxides, other halogens, and mercury (Saiz-Lopez and von
Glasow, 2012; Simpson et al., 2015). Only a few global models have attempted
to examine the implications of tropospheric chlorine chemistry on a global
scale (Singh and Kasting, 1988; Long et al., 2014; Hossaini et al., 2016).
Here we present a more comprehensive analysis of this chemistry within the
framework of the GEOS-Chem chemical transport model (CTM).</p>
      <p id="d1e477">Saiz-Lopez and von Glasow (2012) and Simpson et al. (2015) present recent
reviews of tropospheric halogen chemistry including chlorine. Sea salt
aerosols represent a large chloride flux to the atmosphere but most of that
chloride is removed rapidly by deposition. Only a small fraction is
mobilized to the gas phase as HCl or other species. Additional minor sources
of tropospheric chlorine include open fires, coal combustion, waste
incineration, industry, road salt application, fugitive dust, and ocean
emission of organochlorine compounds (Lobert et al., 1999; McCulloch et al.,
1999; Sarwar et al., 2012; WMO, 2014; Kolesar et al., 2018). It is useful to
define <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as total gas-phase inorganic chlorine, excluding particle-phase <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Most of this <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is present as HCl, which is removed
rapidly by deposition but also serves as a source of chlorine radicals.
Rapid cycling takes place between the chlorine radicals and other chlorine
gases, eventually returning to HCl. Thus it is useful to define reactive
chlorine Cl<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> as the ensemble of <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases other than HCl.</p>
      <p id="d1e533">Cycling of chlorine affects tropospheric chemistry in a number of ways
(Finlayson-Pitts, 2003; Saiz-Lopez and von Glasow, 2012). Acid displacement
of <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> by 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>) is a source of <inline-formula><mml:math id="M24" display="inline"><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:math></inline-formula> aerosol
(Massucci et al., 1999). Cl atoms provide a sink for methane, other VOCs (Atkinson, 1997), dimethyl sulfide (DMS) (Hoffmann
et al., 2016; Chen et al., 2017), and mercury (Horowitz et al., 2017).
Cycling between Cl radicals and their reservoirs drives catalytic ozone
loss and converts nitrogen oxide radicals (<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:mo>≡</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><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 <inline-formula><mml:math id="M26" 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>, decreasing both ozone and OH. Conversely,
aqueous-phase reaction of <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M28" 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> in polluted
environments produces <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radicals that photolyze in the daytime to
return Cl atoms and <inline-formula><mml:math id="M30" 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>, stimulating ozone production (Behnke et al.,
1997; Osthoff et al., 2008). Chlorine also interacts with other halogens
(bromine, iodine), initiating further radical chemistry that affects ozone,
OH, and mercury.</p>
      <p id="d1e654">A number of global modeling studies have investigated tropospheric halogen
chemistry but most have focused on bromine and iodine, which are more active
than chlorine because of the lower chemical stability of HBr and HI (Yang et
al., 2005; Saiz-Lopez et al., 2014). Interest in global modeling of
tropospheric chlorine has focused principally on quantifying the Cl atom
concentration as a sink for methane (Keene et al., 1990; Singh et al.,
1996). Previous global 3-D models found mean tropospheric Cl atom
concentrations of the order of 10<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M32" 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>, with values up to
10<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M34" 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 the marine boundary layer (MBL), and contributing
2 %–3 % of atmospheric methane oxidation (Long et al., 2014; Hossaini et
al., 2016; Sherwen et al., 2016b; Schmidt et al., 2016). A regional modeling
study by Sarwar et al. (2014) included <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry in a standard
ozone mechanism and found increases in surface ozone mixing ratios over the
US of up to 7 ppb (ppb <inline-formula><mml:math id="M36" display="inline"><mml:mo>≡</mml:mo></mml:math></inline-formula> nmol mol<inline-formula><mml:math id="M37" 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>).</p>
      <p id="d1e731">Here we present a more comprehensive analysis of global tropospheric chlorine
chemistry and its implications, building on previous model development of
oxidant–aerosol–halogen chemistry in GEOS-Chem. A first capability for
modeling tropospheric bromine in GEOS-Chem was introduced by Parrella et
al. (2012). Eastham et al. (2014) extended it to describe stratospheric
halogen chemistry including chlorine and bromine cycles. Schmidt et
al. (2016) updated the tropospheric bromine simulation to include a broader
suite of heterogeneous processes and extended the Eastham et al. (2014)
stratospheric chlorine scheme to the troposphere. Sherwen et al. (2016a, b)
added iodine chemistry and made further updates to achieve a consistent
representation of tropospheric chlorine–bromine–iodine chemistry in
GEOS-Chem. Chen et al. (2017) added the aqueous-phase oxidation of
<inline-formula><mml:math id="M38" 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> by HOBr and found a large effect on the MBL bromine budget. Our
work advances the treatment of tropospheric chlorine in GEOS-Chem to include,
in particular, a consistent treatment of SSA chloride and chlorine gases, SSA
acid displacement thermodynamics, improved representation of heterogeneous
chemistry, and better accounting of chlorine sources. We evaluate the model
with a range of global observations for chlorine and related species. From
there we quantify the global tropospheric chlorine budgets, describe the
principal chemical pathways, and explore the impacts on tropospheric
chemistry.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Model description</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><?xmltex \opttitle{GEOS-Chem model with {$\protect\chem{Cl+Br+I}$} halogen chemistry}?><title>GEOS-Chem model with <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">I</mml:mi></mml:mrow></mml:math></inline-formula> halogen chemistry</title>
      <?pagebreak page3983?><p id="d1e777">We build our new tropospheric chlorine simulation capability onto the
standard version 11-02d of GEOS-Chem (<uri>http://www.geos-chem.org</uri>, last
access: 1 March 2019). The standard version
includes a detailed tropospheric oxidant–aerosol–halogen mechanism as
described by Sherwen et al. (2016b) and Chen et al. (2017). It includes 12
gas-phase <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species: Cl, <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</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>, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, ClO, ClOO, OClO, BrCl,
ICl, HOCl, and HCl. It allows for heterogeneous chemistry initiated by SSA
<inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> but does not actually track the SSA <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration
and its exchange with gas-phase <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Here we add two new
transported reactive species to GEOS-Chem to describe <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> aerosol,
one for the fine mode (<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter) and one for the
coarse mode (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter). The standard GEOS-Chem
wet deposition schemes for water-soluble aerosols (Liu et al., 2001) and
gases (Amos et al., 2012) are applied to <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> aerosol and
<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases, respectively, the latter with Henry's law
constants from Sander (2015). Dry deposition of <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> aerosol follows
that of SSA (Jaeglé et al., 2011), and dry deposition of
<inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> gases follows the resistance-in-series scheme of
Wesely (1989) as implemented in GEOS-Chem by Wang et al. (1998). We also add
to the model two SSA alkalinity tracers in the fine and coarse modes and
retain the inert SSA tracer to derive local concentrations of non-volatile
SSA cations (Sect. 2.3). SSA de-bromination by oxidation of <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as
described by Schmidt et al. (2016) was included only as an option in standard
version 11-02d of GEOS-Chem because of concern over excessive MBL BrO
(Sherwen et al., 2016b). However, Zhu et al. (2018) show that it in
fact allows a successful simulation of MBL BrO when one accounts for new losses in
the standard model from aqueous-phase oxidation of <inline-formula><mml:math id="M58" 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> by HOBr
(Chen et al., 2017) and oxidation of marine acetaldehyde by Br atoms (Millet
et al., 2010). We include SSA de-bromination in this work.</p>
      <p id="d1e992">We present a 1-year global simulation for 2016 driven by GEOS-FP (forward
processing) assimilated meteorological fields from the NASA Global Modeling
and Assimilation office (GMAO) with native horizontal resolution of
<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.3125</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and 72 vertical levels from the
surface to the mesosphere. Our simulation is conducted at <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> horizontal resolution and meteorological fields are
conservatively regridded for that purpose. Stratospheric chemistry is
represented using 3-D monthly mean production rates and loss rate constants
from a fully coupled stratosphere–troposphere GEOS-Chem simulation (Murray
et al., 2012; Eastham et al., 2014).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Sources of chlorine</title>
      <p id="d1e1043">Table 1 lists the global sources and sinks of tropospheric gas-phase
inorganic chlorine (<inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and reactive chlorine (Cl<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>) in our model. The
main source is mobilization of <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> from SSA. SSA emission is computed
locally in GEOS-Chem separately for fine and coarse modes as the integrals of the
size-dependent source function over two size bins, fine (0.2–1 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter) and
coarse (1–8 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter). The source function depends on
wind speed and sea surface temperature (Jaeglé et al., 2011). We obtain
a global SSA source of 3230 Tg a<inline-formula><mml:math id="M66" 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 2016, corresponding to 1780 Tg a<inline-formula><mml:math id="M67" 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="M68" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (assuming
fresh SSA to be 55.05 % <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> by mass
(Lewis and Schwartz, 2014), of which 16 % is in the fine mode and 84 %
is in the coarse mode. Only 64 Tg <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> a<inline-formula><mml:math id="M71" 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> (3.6 %) is
mobilized to <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by acid displacement and other heterogeneous
reactions, while the rest is deposited. A total of 42 % of the mobilization is from
fine SSA and 58 % is from coarse SSA. Details of this mobilization are in
Sect. 2.3 and 2.4. About 80 % of the mobilization is by acid displacement to
HCl, which is in turn efficiently deposited. Only 19 % of HCl is further
mobilized to Cl<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> by reaction with OH to drive chlorine radical chemistry.
Direct generation of Cl<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> from SSA through heterogeneous chemistry provides a
Cl<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> source of comparable magnitude to <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, with dominant
contributions from <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (the
latter in polluted high-<inline-formula><mml:math id="M79" 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> environments).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><label>Table 1</label><caption><p id="d1e1268">Global sources and sinks of gas-phase inorganic (<inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and
reactive (Cl<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>) tropospheric chlorine<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Gg Cl a<inline-formula><mml:math id="M107" 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="col3">Cl<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (Gg Cl a<inline-formula><mml:math id="M109" 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:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Total source</oasis:entry>
         <oasis:entry colname="col2">75 200</oasis:entry>
         <oasis:entry colname="col3">25 000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sea Salt</oasis:entry>
         <oasis:entry colname="col2">63 900</oasis:entry>
         <oasis:entry colname="col3">11 900</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Acid displacement<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">52 000</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">8590</oasis:entry>
         <oasis:entry colname="col3">8590</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M112" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1810</oasis:entry>
         <oasis:entry colname="col3">1810</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HOI, <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">IONO</mml:mi><mml:mi>x</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msubsup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">641</oasis:entry>
         <oasis:entry colname="col3">641</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">327</oasis:entry>
         <oasis:entry colname="col3">327</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">403</oasis:entry>
         <oasis:entry colname="col3">403</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">64</oasis:entry>
         <oasis:entry colname="col3">64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">61</oasis:entry>
         <oasis:entry colname="col3">61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">9720</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Organochlorines</oasis:entry>
         <oasis:entry colname="col2">3320</oasis:entry>
         <oasis:entry colname="col3">3300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2200</oasis:entry>
         <oasis:entry colname="col3">2180</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">780</oasis:entry>
         <oasis:entry colname="col3">780</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">298</oasis:entry>
         <oasis:entry colname="col3">298</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">ICl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">46</oasis:entry>
         <oasis:entry colname="col3">46</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Stratosphere<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">380</oasis:entry>
         <oasis:entry colname="col3">64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Anthropogenic HCl<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">(6660)</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Open fires</oasis:entry>
         <oasis:entry colname="col2">7640</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total sink</oasis:entry>
         <oasis:entry colname="col2">75 200</oasis:entry>
         <oasis:entry colname="col3">25 000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Deposition</oasis:entry>
         <oasis:entry colname="col2">71 400</oasis:entry>
         <oasis:entry colname="col3">346</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Dry</oasis:entry>
         <oasis:entry colname="col2">35 200</oasis:entry>
         <oasis:entry colname="col3">170</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wet</oasis:entry>
         <oasis:entry colname="col2">36 200</oasis:entry>
         <oasis:entry colname="col3">176</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Uptake by alkaline SSA</oasis:entry>
         <oasis:entry colname="col2">3800</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Conversion to HCl<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">24 600</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Tropospheric mass (Gg)</oasis:entry>
         <oasis:entry colname="col2">316</oasis:entry>
         <oasis:entry colname="col3">12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lifetime (h)</oasis:entry>
         <oasis:entry colname="col2">37</oasis:entry>
         <oasis:entry colname="col3">3.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1300"><inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Annual totals for 2016 computed from GEOS-Chem.
Gas-phase inorganic chlorine is defined as <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>≡</mml:mo><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">Cl</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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">ClO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">ClOO</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OClO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BrCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">ICl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow></mml:math></inline-formula>. Reactive chlorine is defined as
<inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>≡</mml:mo><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow></mml:math></inline-formula>. Thus the source of HCl can be inferred
from the Table entries as <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The definition of
<inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> excludes aerosol <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which has a very large
sea salt source of 1780 Tg Cl a<inline-formula><mml:math id="M90" 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 is mainly removed by
deposition, HCl is the dominant component of <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> but is also
mostly removed by deposition. Reactive chlorine Cl<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> is the chemical family
principally involved in radical cycling. <inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Net production minus
loss of HCl from acid aerosol displacement by <inline-formula><mml:math id="M94" 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="M95" 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> computed as thermodynamic equilibrium. <inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula>
<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">IONO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>≡</mml:mo><mml:mi mathvariant="normal">IONO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">IONO</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> The source from
<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula> is not shown since it contributes <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % of
<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula> oxidation. Same for other organochlorines. <inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Net
stratospheric input to the troposphere. <inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> Coal combustion, waste
incineration, and industrial activities. These emissions are only included in
a sensitivity simulation (see Sects. 2.2 and 4.2 for details) and are
therefore listed here in parentheses. Emissions of anthropogenic fugitive
dust are estimated as less than 390 Gg a<inline-formula><mml:math id="M104" 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> (Sect. 2.2) and are not
included in the model. <inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> From reactions of Cl atoms (see
Fig. 1).</p></table-wrap-foot></table-wrap>

      <?pagebreak page3984?><p id="d1e2277">Cl<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> can also be produced in the model by atmospheric degradation of the
organochlorine gases <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHCl</mml:mi><mml:mn mathvariant="normal">3</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">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">ICl</mml:mi></mml:mrow></mml:math></inline-formula>. These gases are mainly of biogenic marine origin, with the
exception of <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which has a large industrial solvent source
(Simmonds et al., 2006). Mean tropospheric lifetimes are 520 days for
<inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula>, 280 days for <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 260 days for <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 0.4 days
for <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">ICl</mml:mi></mml:mrow></mml:math></inline-formula>. Emissions of <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CHCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are implicitly treated in the model by specifying monthly mean
surface air boundary conditions in five latitude bands (60–90,
30–60, and 0–30<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 0–30, and
30–90<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) from AGAGE observations (Prinn et al., 2018). Emission
of <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">ICl</mml:mi></mml:mrow></mml:math></inline-formula> is from Ordóñez et al. (2012), as described by
Sherwen et al. (2016a). Tropospheric oxidation of hydrochlorofluorocarbons
(HCFCs) is neglected as a source of Cl<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> because it is small compared to the
other organochlorines. The stratospheric source of <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from
chlorofluorocarbons (CFCs), HCFCs, and <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is included in the model on
the basis of the Eastham et al. (2014) GEOS-Chem stratospheric simulation as
described in Sect. 2.1. Tropospheric organochlorines give a global Cl<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>
source of 3.3 Tg Cl a<inline-formula><mml:math id="M147" 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 Table 1, smaller than that from
heterogeneous SSA <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reactions (11.9 Tg Cl a<inline-formula><mml:math id="M149" 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>) or oxidation of
HCl by OH (9.7 Tg Cl a<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>). The stratosphere is a minor global source of
tropospheric Cl<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (0.06 Tg Cl a<inline-formula><mml:math id="M152" 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>) although it could be important in the
upper troposphere (Schmidt et al., 2016).</p>
      <p id="d1e2595">We also include primary HCl emissions from open fires. We apply the emission
factors of (<inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) from Lobert et al. (1999) for different
vegetation types to the GFED4 (Global Fire Emissions Database) biomass
burned inventory (van der Werf et al., 2010; Giglio et al., 2013), resulting
in a global source of 7.6 Tg Cl a<inline-formula><mml:math id="M154" 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> emitted as HCl.</p>
      <p id="d1e2625">Anthropogenic sources of HCl include coal combustion, waste incineration, and
industrial activities. The only global emission inventory is that of
McCulloch et al. (1999), which gives a total of 6.7 Tg Cl a<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>. As
shown in Sect. 4.2, we find that this greatly overestimates atmospheric
observations of HCl over the US. National inventories of HCl from coal
combustion available for China (236 Gg Cl a<inline-formula><mml:math id="M156" 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 2012; Liu et al.,
2018) and the US (69 Gg Cl a<inline-formula><mml:math id="M157" 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; US EPA, 2018) are
respectively 6 and 7 times lower than estimates of McCulloch et al. (1999) for those
countries. We therefore choose not to include anthropogenic HCl emissions in
our standard simulation, as they are small in any case from a global budget
perspective. We show in Sect. 4.2 that we can account for HCl observations in
continental air largely on the basis of the SSA <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>source. We also
do not consider Cl<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> generation from snow/ice surfaces, which could be
important in the Arctic spring MBL (Liao et al., 2014) but is highly
uncertain and would only affect a small atmospheric domain.</p>
      <p id="d1e2684">We do not include the anthropogenic <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> source from fugitive dust,
although it might be important in contributing to chloride levels in
continental surface air (Sarwar et al., 2012). The global source of
anthropogenic fugitive dust is estimated to be less than 13 Tg a<inline-formula><mml:math id="M161" 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>
(Philip et al., 2017), of which 0.3 % by mass is estimated to be chloride
(Reff et al., 2009). This corresponds to a chloride source of less than 0.39 Tg Cl a<inline-formula><mml:math id="M162" 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>, negligible on a global scale.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><?xmltex \opttitle{{$\protect\chem{HCl/{Cl^{{-}}}}$} acid displacement thermodynamics}?><title><inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> acid displacement thermodynamics</title>
      <p id="d1e2745">SSA <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> can be displaced to HCl by strong acids (<inline-formula><mml:math id="M165" 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>,
<inline-formula><mml:math id="M166" 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>) once the SSA is sufficiently aged that its initial supply of
alkalinity (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>≡</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:mrow></mml:math></inline-formula>) has
been exhausted. The acid displacement is described by


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M168" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mi mathvariant="italic">⇄</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><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:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><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:mi mathvariant="italic">⇄</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            with equilibrium constants from Fountoukis and Nenes (2007). Reaction (R1) must be
treated as an equilibrium because <inline-formula><mml:math id="M169" 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 HCl have comparable
effective Henry's law constants. <inline-formula><mml:math id="M170" 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> has a much lower vapor
pressure so that Reaction (R2) fully displaces HCl. Additional displacement of HCl by
<inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> does not take place because <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is a much weaker
acid than HCl (Jacob et al., 1985).</p>
      <p id="d1e2964">Alkalinity initially prevents any acid displacement in freshly emitted SSA.
Alkalinity is emitted as 0.07 mol equivalents kg<inline-formula><mml:math id="M173" 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> of dry SSA (Gurciullo et
al., 1999) and is transported in the model as two separate tracers for fine
and coarse SSA. It is consumed over time by uptake of acids (<inline-formula><mml:math id="M174" 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="M175" 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>, <inline-formula><mml:math id="M176" 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 HCl) as described by Alexander et
al. (2005), and once fully consumed it is set to zero (titration). The SSA is
then diagnosed as acidified, enabling acid displacement by
Reactions (R1)–(R2). In our simulation, alkalinity is titrated everywhere
shortly after emission except in some areas of the Southern Ocean, which is
consistent with the model results of Alexander et al. (2005) and Kasibhatla
et al. (2018).</p>
      <p id="d1e3017">Observations in the MBL indicate that fine SSA is usually internally mixed
with sulfate–nitrate–ammonium (SNA) aerosols while coarse SSA is externally
mixed (Fridlind and Jacobson, 2000; Dasgupta et al., 2007). Acid
displacement for the acidified fine SSA is thus computed by adding
<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to the SNA thermodynamics. The local thermodynamic gas–aerosol
equilibrium for the resulting
<inline-formula><mml:math id="M178" 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:mo>-</mml:mo><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">NVC</mml:mi></mml:mrow></mml:math></inline-formula> system is
calculated with ISORROPIA II (Fountoukis and Nenes, 2007). The calculation
is performed assuming an aqueous aerosol even if relative humidity is below the
deliquescence point (metastable state). NVCs (non-volatile cations) describe
the sum of cations emitted as SSA and is treated in ISORROPIA II using
<inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as proxy. Here NVCs are emitted as 16.4 mol kg<inline-formula><mml:math id="M180" 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> of
dry SSA to balance the emission of SSA anions including <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>,
alkalinity, and sea salt sulfate. The NVC concentration is determined
locally from the mass concentration of the inert SSA tracer.</p>
      <p id="d1e3108">Acid displacement for acidified coarse SSA is assumed to be driven by uptake
of strong acids from the gas phase, mainly <inline-formula><mml:math id="M182" 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> (Kasibhatla et al.,
2018). The ISORROPIA II calculation is conducted with two gas species
(<inline-formula><mml:math id="M183" 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 HCl) and four aerosol species (NVC, <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M185" 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:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M186" display="inline"><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:math></inline-formula>). Here the sulfate includes only the emitted sea salt
component and that produced by heterogeneous <inline-formula><mml:math id="M187" 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> oxidation in coarse
SSA (Alexander et al., 2005). In the case of coarse aerosols, there may be
significant mass transfer limitation to reaching gas–aerosol thermodynamic
partitioning (Meng<?pagebreak page3985?> and Seinfeld, 1996). To account for this limitation, the
concentrations are adjusted after the ISORROPIA II calculation following the
dynamic method of Pilinis et al. (2000). This two-step thermodynamics approach
has been used in previous studies (Koo et al., 2003; Kelly et al., 2010).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><?xmltex \opttitle{Heterogeneous chemistry of {$\protect\chem{Cl^{{-}}}$}}?><title>Heterogeneous chemistry of <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e3204">Table 2 lists the heterogeneous reactions of <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> other than acid
displacement. The loss rate of a gas species <inline-formula><mml:math id="M190" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> due to reaction with <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
is calculated following Jacob (2000):
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M192" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:msub><mml:mi>n</mml:mi><mml:mi>X</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>r</mml:mi><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mi>c</mml:mi><mml:mi mathvariant="italic">γ</mml:mi><mml:mfenced open="(" close=")"><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:msub><mml:mi>n</mml:mi><mml:mi>X</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Here <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi>X</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the number density of species <inline-formula><mml:math id="M194" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> (molecules of <inline-formula><mml:math id="M195" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> per unit volume of air), <inline-formula><mml:math id="M196" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the aerosol or
cloud surface area concentration per unit
volume of air, <inline-formula><mml:math id="M197" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is the effective particle radius, <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the gas-phase
molecular diffusion coefficient of <inline-formula><mml:math id="M199" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M200" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the average gas-phase thermal
velocity of <inline-formula><mml:math id="M201" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M202" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> is the reactive uptake coefficient, which is a
function of the aqueous-phase molar <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration [<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>] (moles
of <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> per liter of water). Values of <inline-formula><mml:math id="M206" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> in Table 2 are mostly
from recommendations by the International Union of Pure and Applied
Chemistry (IUPAC) (Ammann et al., 2013).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><label>Table 2</label><caption><p id="d1e3431">Heterogeneous reactions of <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>and reactive uptake coefficients
(<inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>)<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Reaction</oasis:entry>
         <oasis:entry colname="col3">Reactive uptake coefficient (<inline-formula><mml:math id="M235" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">Footnote</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mi>B</mml:mi><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>f</mml:mi></mml:mrow><mml:mo>′</mml:mo></mml:msubsup><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:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><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:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M237" 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:mo>+</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:mfenced><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:mo>→</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msubsup><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>f</mml:mi></mml:mrow><mml:mo>′</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mfenced open="[" close="]"><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:mfenced></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mfenced close="]" open="["><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:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">b</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:mfenced><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:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:mfenced><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.2</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> s; <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.15</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> s<inline-formula><mml:math id="M244" 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="M245" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula> M<inline-formula><mml:math id="M246" 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:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">29</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">R4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">c</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi mathvariant="normal">BrCl</mml:mi><mml:mo>+</mml:mo><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></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>H</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">d</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> M<inline-formula><mml:math id="M257" 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> s<inline-formula><mml:math id="M258" 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="M259" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.4</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">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M260" 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="M261" 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:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">R6</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><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:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0244</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">e</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">pH</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">pH</mml:mi><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R7</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>H</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msup><mml:mi>k</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msup><mml:mi>k</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msup><mml:mi>k</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> M<inline-formula><mml:math id="M273" 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> s<inline-formula><mml:math id="M274" 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="M275" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><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">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M276" 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="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></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R8</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BrCl</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>H</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msup><mml:mi>k</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msup><mml:mi>k</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:msqrt><mml:mo>;</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi>H</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:msup><mml:mi>k</mml:mi><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.101</mml:mn></mml:mrow></mml:math></inline-formula> M cm<inline-formula><mml:math id="M284" 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="M285" 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></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">min</mml:mi><mml:mfenced close="" open="("><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mfenced open="" close=")"><mml:mrow><mml:mn mathvariant="normal">2</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">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R9</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><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></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>H</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi></mml:mrow></mml:msub><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt><mml:mo>;</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> M<inline-formula><mml:math id="M293" 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> s<inline-formula><mml:math id="M294" 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="M295" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</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">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M296" 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="M297" 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:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R10</oasis:entry>
         <oasis:entry colname="col2"><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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Γ</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>H</mml:mi><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:msub><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:msub><mml:mi>I</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mi>k</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi>k</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:msqrt></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.013</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.76</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<inline-formula><mml:math id="M304" 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> s<inline-formula><mml:math id="M305" 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="M306" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><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">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M307" 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="M308" 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:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">R11</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">IONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi mathvariant="normal">ICl</mml:mi><mml:mo>+</mml:mo><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:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.5</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">f</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">R12</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">IONO</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi mathvariant="normal">ICl</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.017</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">f</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">R13</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOI</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi mathvariant="normal">ICl</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.5</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">f</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3461"><inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Formulations for the reactive uptake coefficient
<inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> are from IUPAC (Ammann et al., 2013) unless stated otherwise in the
footnote column. Brackets denote aqueous-phase concentrations in molarity
(moles per liter of water). <inline-formula><mml:math id="M212" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the ideal gas constant. <inline-formula><mml:math id="M213" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the average
gas-phase thermal velocity for the reactant with <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The reactive
uptake coefficient is used to calculate the reaction rate following Eq. (1). <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi>r</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mi>coth⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>r</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is a spherical
correction to mass transfer for which <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>l</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a reacto-diffusive length
scale and <inline-formula><mml:math id="M217" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is the radius of the aerosol particle or cloud droplet.
<inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Bertram and Thornton (2009); Roberts et al. (2009). This
parametrization is only applied for SNA and SSA aerosols. For
<inline-formula><mml:math id="M219" 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> uptake on other aerosols, we assume <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and
follow Jaeglé et al. (2018). <inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Knipping and Dabdub (2002).
<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is based on Liu and Margerum (2001). Reaction (R5)
competes with the heterogeneous reactions <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">S</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">IV</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as given by Chen et al. (2017). The BrCl product may either
volatilize or react with <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to produce <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and return
<inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> following Fickert et al. (1999), as described in Sect. 5.2.
<inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Assumes that <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is present in excess so that
<inline-formula><mml:math id="M231" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> does not depend on [<inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>]. However, Reaction (R6) competes
with the heterogeneous reaction <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as given by Schmidt
et al. (2016), with the branching ratio determined by the relative rates.
<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> These reactions are based on Sherwen et al. (2016a) and only
take place in SSA.</p></table-wrap-foot></table-wrap>

      <p id="d1e6312">The heterogeneous reactions take place in both clear-air aerosol and clouds.
The GEOS-FP input meteorological data include cloud fraction and liquid/ice
water content for every grid cell. Concentrations per cubic centimeter of air of
aerosol-phase species (including fine and coarse <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) within a grid cell are partitioned between clear air and cloud
as determined by the cloud fraction. Clear-air aqueous-phase concentrations
for use in calculating heterogeneous reaction rates are derived from the
relative-humidity-dependent liquid water contents of fine and coarse SSA using aerosol
hygroscopic growth factors from the Global Aerosol Database (GADS, Koepke,
1997) with an update by Lewis and Schwartz (2006). In-cloud aqueous-phase
concentrations are derived using liquid and ice water content from the
GEOS-FP meteorological data. Values of <inline-formula><mml:math id="M317" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> in Eq. (1) are specified as
relative-humidity-dependent effective radii for the different clear-air aerosol components
(Martin et al., 2003), and are set to 10 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m for cloud droplets and
75 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m for ice particles. These effective radii are also used to
infer the area concentrations <inline-formula><mml:math id="M320" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> on the basis of the mass concentrations.
Heterogeneous chemistry in ice clouds is restricted to the unfrozen layer
coating the ice crystal, which is assumed to be 1 % of the ice crystal
radius (Schmidt et al., 2016).</p>
      <p id="d1e6369">The heterogeneous uptake of HOBr, HOCl, and <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as well as further
aqueous-phase reaction with <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in Table 2 are pH dependent, with a
higher efficiency in acidic solutions (Fickert et al., 1999; Roberts et al.,
2008; Abbatt et al., 2012). They are considered only when SSA alkalinity has
been titrated, and <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> further requires pH <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, following laboratory results presented in Roberts et al. (2008).
The pH of chloride-containing fine aerosol after alkalinity has been
titrated is calculated by ISORROPIA II. Liquid cloud water pH is calculated
in GEOS-Chem following Alexander et al. (2012), with update to include
<inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and NVC. Coarse-mode SSA and ice cloud pH are assumed to be 5 and
4.5, respectively (Schmidt et al., 2016).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Global budget and distribution of tropospheric chlorine</title>
      <p id="d1e6442">Figure 1 describes the global budget and cycling of tropospheric inorganic
chlorine in GEOS-Chem. The dominant source of <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is acid
displacement from SSA. The global rate of <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> generation from acid
displacement is 52 Tg Cl a<inline-formula><mml:math id="M328" 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>, close to the observationally based
estimate of 50 Tg Cl a<inline-formula><mml:math id="M329" 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> by Graedel and Keene (1995) and lower than
the model estimate of 90 Tg Cl a<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> from Hossaini et al. (2016), who
treated displacement of <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M332" 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> as an irreversible rather
than thermodynamic equilibrium process. HCl is the largest reservoir of
<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the troposphere, with a global mean tropospheric mixing ratio of
60 ppt (ppt <inline-formula><mml:math id="M334" display="inline"><mml:mo>≡</mml:mo></mml:math></inline-formula> pmol mol<inline-formula><mml:math id="M335" 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>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d1e6558">Global budget and cycling of tropospheric inorganic chlorine
(<inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in GEOS-Chem. The figure shows global annual mean rates
(Gg Cl a<inline-formula><mml:math id="M337" 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>), masses (Gg), and mixing ratios (ppt, in brackets) for simulation
year 2016. Read 2.5(4) as <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. ClO<inline-formula><mml:math id="M339" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> stands for <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">ClO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OClO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">ClO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">Cl</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>; 84 % is present as
ClO. Reactions producing Cl atoms and related to <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> heterogeneous
chemistry are shown in red and green, respectively. The dotted box indicates
the <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> family, and arrows into and out of that box represent general
sources and sinks of <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Reactions with the rate <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> Gg Cl a<inline-formula><mml:math id="M345" 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 not shown. Anthropogenic emissions of HCl as indicated by a
dashed line are only included in a sensitivity simulation (see Sects. 2.2
and 4.2 for details).</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><label>Figure 2</label><caption><p id="d1e6707">Global distributions of annual mean HCl mixing ratios and
Cl atom concentrations in GEOS-Chem. Panel <bold>(a)</bold> shows surface air mixing
ratios and concentrations. Panel <bold>(b)</bold> shows zonal mean mixing
ratios and concentrations as a function of latitude and altitude. Dashed lines
indicate the tropopause.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f02.png"/>

      </fig>

      <p id="d1e6723">Acid displacement generates <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as HCl, which is mostly
removed by deposition. Broader effects of chlorine on tropospheric chemistry
take place through the cycling of radicals originating from production of
reactive chlorine <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>≡</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow></mml:math></inline-formula>. HCl contributes
9.7 Tg Cl a<inline-formula><mml:math id="M348" 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> to Cl<inline-formula><mml:math id="M349" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> through the reaction between HCl and OH. In
addition to
this source, <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> provides a Cl<inline-formula><mml:math id="M351" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> source of 12 Tg Cl a<inline-formula><mml:math id="M352" 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>
through heterogeneous reactions with principal contributions from <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (8.6 Tg Cl a<inline-formula><mml:math id="M354" 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="M355" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
(1.8 Tg Cl a<inline-formula><mml:math id="M356" 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 heterogeneous source of 12 Tg Cl a<inline-formula><mml:math id="M357" 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> is
much higher than previous estimates of 5.6 Tg Cl a<inline-formula><mml:math id="M358" 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> (Hossaini et
al., 2016) and 6.1 Tg Cl a<inline-formula><mml:math id="M359" 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> (Schmidt et al., 2016). Schmidt et
al. (2016) only considered the <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reaction. Production of
the chlorine radicals Cl and ClO is by the <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> reaction
(45 %) and by photolysis of BrCl (40 %), <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (8 %),
<inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (4 %), and ICl (2 %). Loss of Cl<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> is mainly through the
reaction of Cl with methane (46 %) and other organic compounds
(<inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> 15 %, <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OOH</mml:mi></mml:mrow></mml:math></inline-formula> 11 %,
<inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> 8 %, higher alkanes 8 %, and
<inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> 7 %).</p>
      <p id="d1e7027">Conversion of Cl to ClO<inline-formula><mml:math id="M369" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> drives some cycling of chlorine radicals, but the
associated chain length versus Cl<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> loss is short (<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula>). Conversion of
Cl to ClO is mainly by reaction with ozone (98 %),
while conversion of ClO back to Cl is mostly by reaction with NO (72 %),
driving a null cycle as <inline-formula><mml:math id="M372" 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> photolyzes to regenerate NO and ozone.</p>
      <?pagebreak page3987?><p id="d1e7089">Figure 2 shows the annual mean global distributions of HCl mixing ratios and
Cl atom concentrations. The mixing ratio of HCl decreases from the surface
to the middle troposphere, reflecting the SSA source, and then increases
again in the upper troposphere where it is supplied by transport from the
stratosphere and has a long lifetime due to lack of scavenging. Remarkably,
Cl atom concentrations show little decrease with altitude, contrary to the
common assumption that tropospheric Cl atoms should be mainly confined to
the MBL where the SSA source resides (Singh et al., 1996). We find that the
effect of the SSA source is offset by the slower sink of Cl<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> at higher
altitudes due to the strong temperature dependence of the reactions between
Cl atom and organic compounds. Transport of HCl and Cl<inline-formula><mml:math id="M374" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> from the
stratosphere also contribute to the source of Cl atoms in the upper
troposphere.</p>
      <p id="d1e7110">HCl mixing ratios in marine surface air are usually highest along polluted
coastlines where the large sources of <inline-formula><mml:math id="M375" 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="M376" 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> from
anthropogenic <inline-formula><mml:math id="M377" 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="M378" 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 drive acid displacement from
SSA. By contrast, HCl mixing ratios over the Southern Ocean are low because
of the low supply of acid gases. The distribution of Cl atoms in surface air
reflects its sources from both <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> and the heterogeneous production
of Cl<inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>. The highest concentrations are in northern Europe due to production
of <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the <inline-formula><mml:math id="M382" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> Reaction (R3). Cl atom
concentrations in marine air are shifted poleward relative to HCl because of
increasing bromine radical concentrations (Parrella et al., 2012), driving
BrCl formation by the <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> Reaction (R5).</p>
      <p id="d1e7233">Figure 3 shows the global mean vertical distributions of reactive chlorine
species (Cl<inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>) in continental and marine air. Mean boundary layer mixing
ratios are higher over land than over the ocean because of the
<inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source from <inline-formula><mml:math id="M386" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in
high-<inline-formula><mml:math id="M387" 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> polluted air (Thornton et al., 2010).
<inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios are much higher than in the Sherwen et
al. (2016b) model, which restricted its production to SSA, reflecting the
importance of HCl dissolved in SNA aerosol, which allows further transport
inland. High mixing ratios of <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the upper troposphere are
due to transport from the stratosphere and inefficacy of the sinks from
hydrolysis and heterogeneous chemistry. In the marine MBL we find comparable
contributions from HOCl (mainly in daytime) and <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (mainly at night). The BrCl mixing ratio is much lower than
in the previous model studies of Long et al. (2014) and Sherwen et
al. (2016b), which had very large sources from the <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
Reaction (R5). Our lower BrCl mixing ratio is due to competition from the
<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi></mml:mrow></mml:math></inline-formula> + S(IV) (S(IV) <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:mo>≡</mml:mo><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) reaction (Chen et al., 2017) and to oceanic VOC
emissions (Millet et al., 2010), both of which act to depress bromine radical
concentrations in the MBL (Zhu et al., 2018). Further discussion of the BrCl
source is presented in Sect. 5.2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><label>Figure 3</label><caption><p id="d1e7388">Global annual mean vertical distributions of reactive chlorine
species (Cl<inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>) in GEOS-Chem for continental and marine air. Stratospheric
conditions are excluded.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Comparison to observations</title>
      <p id="d1e7414">Here we compare the model simulation for 2016 to observations for gas-phase
chlorine and related species collected in different years, assuming
interannual variability to be a<?pagebreak page3988?> minor factor in model error. Previous
evaluation of the GEOS-Chem sea salt source by Jaeglé et al. (2011)
showed general skill in simulating SSA observations and we do not repeat
this evaluation here. We also do not consider data affected by local
anthropogenic sources because they would not be properly resolved at the
<inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid resolution of our model.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Surface air observations</title>
      <p id="d1e7444">Table 3 compares our simulated <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> SSA deficits to an ensemble of
marine air observations compiled by Graedel and Keene (1995). The
<inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> deficit is relative to seawater composition and provides an
indicator of the mobilization of <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> through acid displacement and
heterogeneous chemistry. The observations show a wide range from <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %
to <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> %, and Graedel and Keene (1995) emphasize that uncertainties are
large. Slight negative deficits in the observations could be caused by
titration of alkalinity by HCl but large negative deficits are likely due to
error. Mean model deficits sampled for the regions and months of the
observations range from <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> %, not inconsistent with the
observations. The largest model deficits are in polluted coastal regions
because of acid displacement and this is also where the measured deficits are
largest.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><label>Table 3</label><caption><p id="d1e7524">Chloride deficits in sea salt aerosol<inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Modeled <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Measured <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">deficit (%)</oasis:entry>
         <oasis:entry colname="col3">deficit (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">North Carolina coast</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Townsville coast, Australia</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">33</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">California coast</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Greenland Sea</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">North Atlantic Ocean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">54</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Equatorial Atlantic</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">64</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Puerto Rico coast</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pacific Ocean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn><mml:mo>∼</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cape Grim, Australia</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mo>∼</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e7536"><inline-formula><mml:math id="M405" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Deficits relative to seawater composition.
Observations compiled by Graedel and Keene (1995) are reported there as
ranges for individual regions and months, with the ranges likely reflecting
measurement uncertainty rather than physical variability. Model values are
means for the regions and months of observations.</p></table-wrap-foot></table-wrap>

      <p id="d1e7932">Figure 4 compares simulated HCl and <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> mixing ratios to concurrent
observations of gases both at coastal sites and over oceans. The data are
arranged from left to right by increasing latitude. Mean HCl mixing ratios
average 323 ppt in the model and 347 ppt in the observations for the
ensemble<?pagebreak page3989?> of regions. The HCl source in the model is mainly acid displacement
from SSA. A sensitivity simulation without acid displacement from SSA has
less than 7 ppt HCl in all regions. The model captures the spatial
variability of the mean HCl mixing ratios across locations (<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn></mml:mrow></mml:math></inline-formula>),
which largely reflects the HCl enhancement at polluted coastal sites and
northern midlatitudes (Fig. 2). Simulated <inline-formula><mml:math id="M434" 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> mixing ratios average
190 ppt across locations compared to 137 ppt in the observations, again
with good simulation of spatial variability (<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>) driven by <inline-formula><mml:math id="M436" 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. <inline-formula><mml:math id="M437" 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> mixing ratios are sensitive to acid displacement from
SSA, as the sensitivity simulation without acid displacement shows mean
values of 441 ppt that are much higher than observed. This could partly
explain the general model problem of <inline-formula><mml:math id="M438" 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> overestimation in remote air
(Bey et al., 2001).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><label>Figure 4</label><caption><p id="d1e8018">HCl and <inline-formula><mml:math id="M439" 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> surface air mixing ratios at coastal and island
sites and from ocean cruises, arranged from left to right in order of
increasing latitude. Observations are means (black circles) or medians
(black triangles) depending on availability from the publications. Model
values are monthly means for the sampling locations. Also shown are results
from a sensitivity simulation with no mobilization of <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> from sea salt
aerosol (SSA). References: (1, 2, 5, 10) Keene et al. (2009); (3) Sanhueza
and Garaboto (2002); (4) Sander et al. (2013); (6) Dasgupta et al. (2007);
(7) Crisp et al. (2014); (8) Bari et al. (2003); (9) Keene et al. (2007).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f04.png"/>

        </fig>

      <p id="d1e8049">Figure 5 shows 2016 annual mean observations of PM<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (mass
concentration in particles less than 2.5 <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter) from the US
Interagency Monitoring of Protected Visual Environments (IMPROVE) network
(Malm et al., 1994). Corresponding model values shown as background
contours for fine <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter and internally
mixed with SNA aerosol) are for total <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. One would expect the IMPROVE
concentrations to be higher than the model fine <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (because of the
larger size cut) and lower than total <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and this is generally the
case. The model is consistent with observations in the continental interior,
which we attribute to inland transport of marine HCl incorporated into SNA
aerosol. Fine <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations can actually be higher over the
continent than over the ocean because of HCl displacement from the coarse
SSA followed by recondensation on anthropogenic SNA aerosol. The model
underestimates the observations over the Southwest US and this may be due to
a missing dust source. We find that IMPROVE <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and dust concentrations
are positively correlated (<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>–0.9) in this region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><label>Figure 5</label><caption><p id="d1e8180">Aerosol <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations in surface air over the contiguous
US. Values are annual means for 2016. GEOS-Chem model values are shown as
contours separately for fine <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter) and
total <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Observations from the IMPROVE network (<inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m
diameter) are shown as circles and are the same in both panels; one would
expect them to be higher than the model fine <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> but lower than total
<inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f05.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><label>Table 4</label><caption><p id="d1e8284">Surface air mixing ratios of reactive chlorine (Cl<inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>)<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></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="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Modeled</oasis:entry>
         <oasis:entry colname="col3">Measured mean</oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Cl<inline-formula><mml:math id="M467" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (ppt)</oasis:entry>
         <oasis:entry colname="col3">Cl<inline-formula><mml:math id="M468" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> (ppt)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Atlantic cruise near Europe</oasis:entry>
         <oasis:entry colname="col2">43</oasis:entry>
         <oasis:entry colname="col3">27<inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Keene et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Appledore Island (US east coast)</oasis:entry>
         <oasis:entry colname="col2">17</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Keene et al. (2007)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Atlantic cruise near North Africa</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Keene et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southern Ocean cruise</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Keene et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hawaii</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">Pszenny et al. (2004)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tropical Atlantic cruise</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Keene et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Alert (Canada)</oasis:entry>
         <oasis:entry colname="col2">0.2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Impey et al. (1999)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e8304"><inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Reactive chlorine Cl<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> is the ensemble of gas-phase inorganic
chlorine species excluding HCl. Measurements are 24 h averages. Model
values are monthly means in 2016 taken for the same month and location as
the observations. <inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Median value.</p></table-wrap-foot></table-wrap>

      <p id="d1e8553">A number of surface air measurements have been made of Cl<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> as the
water-soluble component of <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> after removal of HCl (Keene et al.,
1990), although most of these measurements are below the detection limit
(Table 4, mostly from Keene et al., 2009). This Cl<inline-formula><mml:math id="M477" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> has been commonly
assumed to represent the sum of <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HOCl (Pszenny et al., 1993) but
it would also include <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and minor components of Cl<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>.
Table 4 shows that simulated Cl<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> mixing ratios are consistent with the
measurements to the extent that comparison is possible. Simulated Cl<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> over
remote oceans is dominated by HOCl, but <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is responsible for the
high values over the Atlantic Ocean near Europe.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><label>Table 5</label><caption><p id="d1e8661">Comparison of modeled maximum <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios to surface
observations<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Date</oasis:entry>
         <oasis:entry colname="col3">Observed</oasis:entry>
         <oasis:entry colname="col4">Simulated</oasis:entry>
         <oasis:entry colname="col5">References</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(ppt)</oasis:entry>
         <oasis:entry colname="col4">(ppt)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Manchester, UK</oasis:entry>
         <oasis:entry colname="col2">October–November 2014</oasis:entry>
         <oasis:entry colname="col3">510</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">Priestley et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Weybourne, UK</oasis:entry>
         <oasis:entry colname="col2">June–August 2015</oasis:entry>
         <oasis:entry colname="col3">1100</oasis:entry>
         <oasis:entry colname="col4">1200</oasis:entry>
         <oasis:entry colname="col5">Sommariva et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">East Anglia Coast, UK</oasis:entry>
         <oasis:entry colname="col2">January 2014</oasis:entry>
         <oasis:entry colname="col3">100</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">Bannan et al. (2017)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Leicester, UK</oasis:entry>
         <oasis:entry colname="col2">February 2016</oasis:entry>
         <oasis:entry colname="col3">730</oasis:entry>
         <oasis:entry colname="col4">760</oasis:entry>
         <oasis:entry colname="col5">Sommariva et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">London, UK</oasis:entry>
         <oasis:entry colname="col2">July–August 2012</oasis:entry>
         <oasis:entry colname="col3">730</oasis:entry>
         <oasis:entry colname="col4">510</oasis:entry>
         <oasis:entry colname="col5">Bannan et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calgary, Canada</oasis:entry>
         <oasis:entry colname="col2">April 2010</oasis:entry>
         <oasis:entry colname="col3">240</oasis:entry>
         <oasis:entry colname="col4">130</oasis:entry>
         <oasis:entry colname="col5">Mielke et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calgary, Canada</oasis:entry>
         <oasis:entry colname="col2">September 2010–March 2011</oasis:entry>
         <oasis:entry colname="col3">340</oasis:entry>
         <oasis:entry colname="col4">170</oasis:entry>
         <oasis:entry colname="col5">Mielke et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Penlee Point, UK</oasis:entry>
         <oasis:entry colname="col2">April–May 2015</oasis:entry>
         <oasis:entry colname="col3">920</oasis:entry>
         <oasis:entry colname="col4">870</oasis:entry>
         <oasis:entry colname="col5">Sommariva et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kleiner Feldberg, Germany</oasis:entry>
         <oasis:entry colname="col2">August–September 2011</oasis:entry>
         <oasis:entry colname="col3">850</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">Phillips et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Long Island Sound</oasis:entry>
         <oasis:entry colname="col2">March 2008</oasis:entry>
         <oasis:entry colname="col3">200</oasis:entry>
         <oasis:entry colname="col4">210</oasis:entry>
         <oasis:entry colname="col5">Kercher et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Olympic Park, South Korea</oasis:entry>
         <oasis:entry colname="col2">May–June 2016</oasis:entry>
         <oasis:entry colname="col3">780</oasis:entry>
         <oasis:entry colname="col4">520</oasis:entry>
         <oasis:entry colname="col5">Jeong et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Taehwa Research Forest, South Korea</oasis:entry>
         <oasis:entry colname="col2">May–June 2016</oasis:entry>
         <oasis:entry colname="col3">2600</oasis:entry>
         <oasis:entry colname="col4">220</oasis:entry>
         <oasis:entry colname="col5">Jeong et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Boulder, Colorado</oasis:entry>
         <oasis:entry colname="col2">February 2009</oasis:entry>
         <oasis:entry colname="col3">440</oasis:entry>
         <oasis:entry colname="col4">130</oasis:entry>
         <oasis:entry colname="col5">Thornton et al. (2010)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pasadena, California</oasis:entry>
         <oasis:entry colname="col2">May–June 2010</oasis:entry>
         <oasis:entry colname="col3">3500</oasis:entry>
         <oasis:entry colname="col4">360</oasis:entry>
         <oasis:entry colname="col5">Mielke et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Offshore of Los Angeles, California</oasis:entry>
         <oasis:entry colname="col2">May–June 2010</oasis:entry>
         <oasis:entry colname="col3">1800</oasis:entry>
         <oasis:entry colname="col4">500</oasis:entry>
         <oasis:entry colname="col5">Riedel et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">La Jolla, California</oasis:entry>
         <oasis:entry colname="col2">February 2013</oasis:entry>
         <oasis:entry colname="col3">65</oasis:entry>
         <oasis:entry colname="col4">65</oasis:entry>
         <oasis:entry colname="col5">Kim et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Houston, Texas</oasis:entry>
         <oasis:entry colname="col2">August–September 2006</oasis:entry>
         <oasis:entry colname="col3">1200</oasis:entry>
         <oasis:entry colname="col4">150</oasis:entry>
         <oasis:entry colname="col5">Osthoff et al. (2008)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Houston, Texas</oasis:entry>
         <oasis:entry colname="col2">September 2013</oasis:entry>
         <oasis:entry colname="col3">140</oasis:entry>
         <oasis:entry colname="col4">18</oasis:entry>
         <oasis:entry colname="col5">Faxon et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hong Kong, China</oasis:entry>
         <oasis:entry colname="col2">August 2012</oasis:entry>
         <oasis:entry colname="col3">1900</oasis:entry>
         <oasis:entry colname="col4">200</oasis:entry>
         <oasis:entry colname="col5">Tham et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hong Kong, China</oasis:entry>
         <oasis:entry colname="col2">November–December 2013</oasis:entry>
         <oasis:entry colname="col3">4700</oasis:entry>
         <oasis:entry colname="col4">410</oasis:entry>
         <oasis:entry colname="col5">Wang et al. (2016)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e8684"><inline-formula><mml:math id="M487" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Observed and modeled values are maxima for the reporting period.
Model maxima are based on hourly values sampled at the same location and
time period as the observations. The sites are listed in order of decreasing
latitude.</p></table-wrap-foot></table-wrap>

      <?pagebreak page3990?><p id="d1e9113">Lawler et al. (2009) measured <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and BrCl mixing ratios at Cabo
Verde in the tropical Atlantic for 5 days in May–June 2007, and Lawler et
al. (2011) measured <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and HOCl mixing ratios at the same site for
7 days in May–June 2009. The observations show a diurnal cycle with mixing
ratios of <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> highest at night, and HOCl highest in the day,
consistent with the model. Observed mixing ratios in background marine air
are in the range 0–30 ppt for <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and 0–2 ppt for BrCl at
night and 0–5 ppt for HOCl in the daytime. Corresponding mean model values
are 0.3 ppt for <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 1.8 ppt for BrCl, and 5 ppt for HOCl, with
little day-to-day variability. Lawler et al. (2011) also sampled long-range
outflow from Europe for 3 days in 2009 with daytime HOCl and nighttime
<inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio ranges of 40–200 and 5–40 ppt, respectively,
but the model does not capture these enhancements. Sommariva and von
Glasow (2012) suggested that a lower aerosol pH and/or slower rate for
<inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> could explain the high HOCl in European outflow
but this would also cause <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to be lower. We have no explanation
for the high <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values observed by Lawler et al. (2009, 2011) in
marine air or for the joint observed enhancements of HOCl and <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
in European outflow.</p>
      <p id="d1e9232">Many surface observations of <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> have been made in nighttime
urban environments. These are difficult to compare to the model because of
the <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid resolution and because of nighttime
stratification of the surface layer (the lowest model grid level extends up
to 130 m above the surface). In addition, the publications usually report
maxima instead of means. Table 5 shows a comparison for representative sites,
indicating that the model offers a credible simulation within the above
caveats. The previous GEOS-Chem simulation of Sherwen et al. (2016b) only
considered <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production in SSA and as a result their
<inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios were consistently below a few parts per trillion at
continental sites. Our simulation can reproduce the observed <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ppt concentrations at these sites because it accounts for HCl dissolved
in SNA aerosol, allowing marine influence to extend further inland as also
shown in the comparison to the IMPROVE <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> data (Fig. 5).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Comparison to aircraft measurements</title>
      <p id="d1e9318">The WINTER aircraft campaign over the eastern US and offshore in
February–March 2015 provides a unique data set for evaluating our model.
Measurements included HCl, <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HOCl, <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by iodide, time of flight, chemical ionization mass
spectrometry (I-TOF-CIMS) (Lee et al., 2018). We focus on the first four
measurements because calibration for <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> needs further
examination. The mean 1 s detection limits for HCl, <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HOCl,
and <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were 100, 2, 2, and 1 ppt, respectively (Lee et al., 2018).
The estimated calibration uncertainty is <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> % for all chlorine
species. As discussed in Lee et al. (2018), labeled 15-<inline-formula><mml:math id="M511" 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> was
added to the inlet tip during WINTER flights to quantify inlet production of
<inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which was found to be negligible (<inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % of measured
<inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), but inlet production of <inline-formula><mml:math id="M515" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, for example from
surface reactions of HOCl with adsorbed HCl, was not evaluated.</p>
      <?pagebreak page3991?><p id="d1e9458">Figure 6 compares the observed median vertical profiles of HCl, <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
HOCl, and <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in WINTER to the model sampled along the flight tracks
for the corresponding period. Figure 7 compares the median diurnal
variations below 1 km in altitude, separately over ocean and land. We exclude
daytime (10:00–16:00 local) data for <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Fig. 6 because its
mixing ratios are near zero (Fig. 7).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><label>Figure 6</label><caption><p id="d1e9496">Vertical profiles of HCl, nighttime <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, HOCl, and
<inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios during the WINTER campaign over the eastern US
and offshore in February–March 2015. Observations from Haskins et al. (2018)
are shown as individual 1 min data points, with medians and 25th–75th
percentiles in 500 m vertical bins. Measurements below the detection limit
are treated as the median of 0 and detection limit. <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data
exclude daytime (10:00–16:00 local) when mixing ratios are near zero in both
the observations and the model (Fig. 7). Model values are shown as medians
sampled along the flight tracks. Also shown are results from a sensitivity
simulation including the anthropogenic chlorine inventory of McCulloch et
al. (1999).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><label>Figure 7</label><caption><p id="d1e9541">Median diurnal variations in HCl, <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratios below 1 km in altitude during the WINTER aircraft campaign over the
eastern US and offshore in February–March 2015. The data are separated
between ocean <bold>(a)</bold> and land <bold>(b)</bold>. Model values are
compared to observations from Haskins et al. (2018). Vertical bars show the
25th–75th percentiles in the observations. Measurements below the detection
limit are treated as the median of 0 and detection limit. Also shown are
results from a sensitivity simulation excluding <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which
has a negligible effect on HCl, <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and HOCl but brings the <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
simulation in much better agreement with observations at night.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f07.png"/>

        </fig>

      <p id="d1e9619">The WINTER observations of HCl show median values of 380 ppt near the
surface, dropping to a background of 100–200 ppt in the free troposphere
(Fig. 6). The model is lower than the observations in the lowest 2 km but
within the calibration uncertainty. The free tropospheric background in the
model is much lower than observed but the observations are near the 100 ppt
detection limit. HCl mixing ratios in the lowest kilometer average 60 % higher
over ocean than over land in both the observations and the model, reflecting
the marine source.</p>
      <p id="d1e9622">Also shown in Fig. 6 is a sensitivity simulation including anthropogenic
HCl emissions from McCulloch et al. (1999) as described in Sect. 2.2. The
resulting model mixing ratios are too high though still within the
calibration uncertainty. Based on sampling of power plant plumes during the
WINTER campaign, Lee et al. (2018) inferred a <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission mass
ratio of 0.033 from power plants. Adding this emission to the standard
simulation scaled to the <inline-formula><mml:math id="M528" 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 in GEOS-Chem (from the EPA
National Emission Inventory over the US) increases modeled mixing ratios of
HCl in the continental boundary layer by 18 % along the WINTER flight
tracks, improving agreement with observations relative to the standard
simulation but still representing a relatively minor source. <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
HOCl, and <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios increase by 12 %, 8 %, and
4 %,
respectively.</p>
      <p id="d1e9673">Figure 8 compares the model HCl vertical profiles to measurements by the
Georgia Tech CIMS instrument during the SEAC<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS campaign over the
Southeast US in August–September 2013 (Toon et al., 2016), the KORUS-AQ
campaign over and around the Korean peninsula in May–June 2015, and the
INTEX-B campaign over the North Pacific in May 2006 (Kim et al., 2008). The
standard model simulation without anthropogenic chlorine successfully
simulates the boundary layer HCl observations during SEAC<inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS and
KORUS-AQ but adding the McCulloch et al. (1999) anthropogenic inventory
results in large overestimates. Boundary layer HCl mixing ratios over land
are much lower in SEAC<inline-formula><mml:math id="M533" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS than in WINTER and this is well reproduced by
the model, for which the difference is due to seasonal contrast in the SSA
source and in the inflow of marine air. The free tropospheric background
observed in SEAC<inline-formula><mml:math id="M534" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS, KORUS-AQ, and INTEX-B data is only <inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ppt, much lower than in WINTER (100–200 ppt), whereas the model free
tropospheric background is consistently 20–50 ppt in all four campaigns. The
WINTER observations are near their 100 ppt detection limit as pointed out
above. The modeled vertical profile of HCl during INTEX-B is very similar to
that of KORUS-AQ but overestimates observed boundary layer HCl by a factor
of 5. The median value of observed surface HCl mixing ratio is 24 ppt during
INTEX-B, which is much lower than all the surface air observations in
Sect. 4.1.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><label>Figure 8</label><caption><p id="d1e9724">Vertical profiles of HCl mixing ratios during the SEAC<inline-formula><mml:math id="M536" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS
aircraft campaign over the Southeast US (95–81.5<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W,
30.5–39<inline-formula><mml:math id="M538" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) in August–September 2013, during the KORUS-AQ
aircraft campaign over and around the Korean peninsula
(120–132<inline-formula><mml:math id="M539" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 32–38<inline-formula><mml:math id="M540" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) in May–June 2015 and during the INTEX-B aircraft campaign over the North Pacific
(175<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>E–50<inline-formula><mml:math id="M542" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, 40–61<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) in May 2006.
Observations from the Georgia Tech CIMS instrument are shown as gray points
(1 min averages), with medians and 25th–75th percentiles in
1 km vertical bins. Model values are sampled along the flight tracks and for
the measurement period. Measurements below the detection limit are treated
as the median of 0 and detection limit. Note the difference in scales
among panels.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f08.png"/>

        </fig>

      <?pagebreak page3992?><p id="d1e9807">Mixing ratios of <inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed in WINTER are above the detection
limit only in the lowest kilometer of atmosphere at night and are much higher over
the ocean than over land. This is well simulated by the model (Figs. 6 and
7) and reflects the nighttime source from the <inline-formula><mml:math id="M545" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
heterogeneous reaction combined with the fast loss by photolysis in
daytime. Previous studies have suggested that the Bertram and Thornton (2009)
representation of the <inline-formula><mml:math id="M546" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production yield from the
<inline-formula><mml:math id="M547" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> heterogeneous reaction in Table 2 is too high
(Riedel et al., 2013; Wagner et al., 2013; McDuffie et al., 2018a). By using
a box model applied to the WINTER observations, McDuffie et al. (2018a, b)
found that both the <inline-formula><mml:math id="M548" 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> uptake rate and the <inline-formula><mml:math id="M549" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
production yield were overestimated by the Bertram and Thornton (2009)
parameterization. One important difference with these previous studies is the
assumption of aerosol mixing state. GEOS-Chem assumes that <inline-formula><mml:math id="M550" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is
present only in SNA and SSA when doing the calculation of <inline-formula><mml:math id="M551" 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>
reactive uptake rates, assuming an external mixture of aerosol types (Martin
et al., 2003; Evans and Jacob, 2005; Jaeglé et al., 2018). This decreases
both the <inline-formula><mml:math id="M552" 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> uptake rate and the <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> yield
compared to using the parameterization of Bertram and Thornton (2009) on
internally mixed aerosols. Jaeglé et al. (2018) reported that using this
external mixing assumption leads to good agreement between modeled and
observed <inline-formula><mml:math id="M554" 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> during the WINTER campaign. The mean <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
yield (<inline-formula><mml:math id="M556" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula> in Reaction R3) below 1 km
in our model is 0.20 during the WINTER campaign, very close to that
calculated from observation (0.218) by McDuffie et al. (2018a).</p>
      <p id="d1e9995">Nighttime <inline-formula><mml:math id="M557" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios in WINTER are greatly overestimated by the
model. Under polluted wintertime conditions such as in WINTER the <inline-formula><mml:math id="M558" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> reaction
greatly enhances <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production in the model:</p>
      <p id="d1e10039">

                <disp-formula content-type="numbered reaction"><label>R7</label><mml:math id="M560" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          The reactive uptake coefficient for Reaction (R7) in Table 2 is
based on a single laboratory study (Roberts et al., 2008). It requires an
aerosol pH <inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> and this condition is generally met for our model
simulation of the WINTER environment, consistent with the observation-based
analysis of aerosol pH by Guo et al. (2016) for the eastern US in winter. A
sensitivity simulation without Reaction (R7) is shown as dashed red lines in
Fig. 7 and can reproduce the low <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios observed over
the ocean at night. The analysis of WINTER data by McDuffie et al. (2018b)
finds that the correlation between particle acidity and <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
observations is opposite of the trend expected from Reaction (R7), though
there may be no trend on sufficiently acidic (i.e., pH <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>)
aerosol. Further study of that reaction is needed. Similar reactions such as
<inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (Reaction R8) and
<inline-formula><mml:math id="M566" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">I</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are also very uncertain as their reaction rate
coefficients are very different in different studies (Fickert et al., 1998;
Frenzel et al., 1998; Schweitzer et al., 1998).</p>
      <?pagebreak page3993?><p id="d1e10164">The model underestimates the WINTER observations of HOCl and <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
daytime, over the ocean as well as over land. These species have short
lifetimes due to photolysis (less than a few minutes). Direct anthropogenic
emission from coal combustion has been proposed (Chang et al., 2002) but
would only be observed in plumes and not over the oceans. Matching the
<inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppt <inline-formula><mml:math id="M569" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed during daytime is particularly
problematic since it would require a large photochemical source absent from
the model. Lawler et al. (2011) suggested a fast daytime HOCl source from a
hypothetical light-dependent <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> oxidation. The measurements of
<inline-formula><mml:math id="M571" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are also possibly subject to a positive artifact from rapid
heterogeneous conversion of chlorine species on the surface of the TOF-CIMS
inlet (Lee et al., 2018).</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Global implications of tropospheric chlorine chemistry</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Cl atom and its impact on VOCs</title>
      <p id="d1e10238">The global mean pressure-weighted tropospheric Cl atom concentration in our
simulation is 620 cm<inline-formula><mml:math id="M572" 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>, while the MBL concentration averages
1200 cm<inline-formula><mml:math id="M573" 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> (Fig. 2). Our global mean is lower than the previous global
model studies of Hossaini et al. (2016) (1300 cm<inline-formula><mml:math id="M574" 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>) and Long et
al. (2014) (3000 cm<inline-formula><mml:math id="M575" 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>), which had excessive Cl<inline-formula><mml:math id="M576" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> generation as discussed
above. It is consistent with the upper limit of 1000 cm<inline-formula><mml:math id="M577" 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> inferred by
Singh et al. (1996) from global modeling of <inline-formula><mml:math id="M578" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations
(<inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is highly reactive with Cl atoms). Isotopic observations
of methane have been used to infer a Cl atom concentration in the MBL higher
than 9000 cm<inline-formula><mml:math id="M580" 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 the extratropical Southern Hemisphere (Platt et al.,
2004; Allan et al., 2007), much higher than our estimate of 800 cm<inline-formula><mml:math id="M581" 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>
over this region. More recently, Gromov et al. (2018) revisited these data
together with added constraints from CO isotope measurements and concluded
that extratropical Southern Hemisphere concentrations of Cl atoms in the MBL
should be lower than 900 cm<inline-formula><mml:math id="M582" 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>, consistent with our estimate.</p>
      <p id="d1e10379">Tropospheric oxidation by Cl atoms drives a present-day methane loss rate of
5.3 Tg a<inline-formula><mml:math id="M583" 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 our model, contributing only 1.0 % of total methane
chemical loss. It has a more significant impact on the oxidation of some other
VOCs, contributing 20 % of the global loss for ethane, 14 % for propane,
10 % for higher alkanes, and 4 % for methanol.</p>
</sec>
<?pagebreak page3994?><sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Impact on bromine and iodine chemistry</title>
      <p id="d1e10402">Bromine radicals (<inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>≡</mml:mo><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">BrO</mml:mi></mml:mrow></mml:math></inline-formula>) and iodine radicals
(<inline-formula><mml:math id="M585" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">IO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>≡</mml:mo><mml:mi mathvariant="normal">I</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">IO</mml:mi></mml:mrow></mml:math></inline-formula>) affect global tropospheric chemistry by
depleting ozone and OH (Parrella et al., 2012; Sherwen et al., 2016b). Br
atoms are also thought to drive the oxidation of elemental mercury (Holmes
et al., 2006). Chlorine chemistry increases <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">IO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios by 16 %
due to the reactions of HOI, I<inline-formula><mml:math id="M587" 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>, and <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Reactions R11–R13), producing ICl, which photolyzes rapidly to I atoms (Fig. 1).
The effect on bromine is more complicated. Bromine radicals originate from
photolysis and oxidation of organobromines emitted by the ocean, as well as
from SSA de-bromination (Yang et al., 2005). They are lost by conversion to
HBr, which is efficiently deposited. Parrella et al. (2012) pointed out that
heterogeneous chemistry of HBr (dissolved as <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is critical for
recycling bromine radicals and explaining observed tropospheric BrO mixing
ratios in the background troposphere:
<?xmltex \hack{\newpage}?>

                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M591" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.Rx2"><mml:mtd><mml:mtext>R14</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><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:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Rx3"><mml:mtd><mml:mtext>R15</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Br</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Chloride ions and dissolved <inline-formula><mml:math id="M592" 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> can however compete with <inline-formula><mml:math id="M593" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> for the available HOBr
(Chen et al., 2017):


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M594" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.Rx4"><mml:mtd><mml:mtext>R5</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">BrCl</mml:mi><mml:mo>+</mml:mo><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:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Rx5"><mml:mtd><mml:mtext>R16</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HBr</mml:mi><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>/</mml:mo><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:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            Chen et al. (2017) pointed out that Reaction (R16) effectively decreases BrO
mixing ratios by producing HBr, which is rapidly deposited instead of
contributing to <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> cycling. They found in a GEOS-Chem simulation that
global tropospheric BrO mixing ratios decreased by a factor of 2 as a
result. Reaction (R5) may however have a compensating or opposite effect. It
propagates the cycling of <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> if BrCl volatilizes:


                <disp-formula content-type="numbered reaction"><label>R17</label><mml:math id="M597" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">BrCl</mml:mi><mml:mo>+</mml:mo></mml:mrow><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          but it may also generate new <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">BrO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> if BrCl reacts with <inline-formula><mml:math id="M599" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the
aqueous phase to produce <inline-formula><mml:math id="M600" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Wang et al., 1994):


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M601" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.Rx7"><mml:mtd><mml:mtext>R18</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">BrCl</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mi mathvariant="italic">⇄</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Rx8"><mml:mtd><mml:mtext>R19</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mi mathvariant="italic">⇄</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The sequence Re<?pagebreak page3995?>actions (R5) <inline-formula><mml:math id="M602" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (R18) <inline-formula><mml:math id="M603" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (R19) with <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as a catalyst has the
same stoichiometry as Reaction (R14) and thus contributes to HBr recycling in the
same way. We find in the model that it is globally 30 times faster than
Reaction (R14) and therefore much more effective at regenerating bromine radicals. In
GEOS-Chem, the rate of Reaction (R5) computed from Table 2 is applied to the
following stoichiometry reflecting the ensemble of Reactions (R5), (R14), (R18),
and (R19):


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M605" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>Y</mml:mi><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>Y</mml:mi></mml:mrow></mml:mfenced><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi>Y</mml:mi><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.Rx10"><mml:mtd><mml:mtext>R5,R14,R18,R19</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>Y</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">BrCl</mml:mi><mml:mo>+</mml:mo><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:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M606" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> is the yield of <inline-formula><mml:math id="M607" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Br</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>Y</mml:mi></mml:mrow></mml:math></inline-formula> is the yield of BrCl. <inline-formula><mml:math id="M609" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> is calculated
following the laboratory study of Fickert et al. (1999).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M610" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn><mml:msub><mml:mi mathvariant="normal">log</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.25</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>]</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo></mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.90</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">for</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>]</mml:mo></mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">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">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            This mechanism was first included in GEOS-Chem version 11-02d by Chen et
al. (2017), who did not however have an explicit SSA <inline-formula><mml:math id="M611" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
simulation (they instead assumed a fixed SSA [<inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>] <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> M,
and considered only dissolved HCl in cloud).</p>
      <p id="d1e11280">Chen et al. (2017) found in their GEOS-Chem simulation that the global
tropospheric BrO burden was 8.7 Gg without the <inline-formula><mml:math id="M614" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">S</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">IV</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
Reaction (R16) and dropped to 3.6 Gg when that reaction was included.
Previous GEOS-Chem model estimates of the global tropospheric BrO burden were
3.8 Gg (Parrella et al., 2012), 5.7 Gg (Schmidt et al., 2016), and 6.4 Gg
(Sherwen et al., 2016b). Our simulation features many updates relative to
Chen et al. (2017), including not only explicit SSA <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> but also
explicit calculation of aerosol pH with ISORROPIA II for the rates of
reactions in Table 2. By including explicit SSA <inline-formula><mml:math id="M616" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, the
cloud water [<inline-formula><mml:math id="M617" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>] in our model is much higher than that in Chen et
al. (2017) and more comparable to measurements (<inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> M in typical
cloud; Straub et al., 2007). We find in our standard simulation a global
tropospheric BrO burden of 4.2 Gg, 17 % higher than that of Chen et al. (2017).</p>
      <p id="d1e11350">Figure 9 shows the change in surface BrO mixing ratios due specifically to
tropospheric chlorine chemistry, as obtained by difference with a sensitivity
simulation including none of the <inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> chemistry shown in
Fig. 1. The inclusion of chlorine chemistry increases the global tropospheric
BrO burden by 85 %. More than 80 % of this change is caused by the
<inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reaction as discussed above. Other significant
contributions include <inline-formula><mml:math id="M621" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M622" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The largest BrO increases (1–2 ppt) are in surface air over the
high-northern-latitude oceans where SSA emissions are high and acidic
conditions promote <inline-formula><mml:math id="M623" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> chemistry.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><label>Figure 9</label><caption><p id="d1e11433">Effects of tropospheric chlorine chemistry on BrO, <inline-formula><mml:math id="M624" 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>, OH,
and ozone concentrations. Panel <bold>(a)</bold> shows the annual mean surface
concentrations of BrO, <inline-formula><mml:math id="M625" 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>, OH, and ozone simulated in our standard
model including tropospheric chlorine chemistry. Panels <bold>(b)</bold> and <bold>(c)</bold> show the
changes in annual mean mixing ratios and concentrations due to tropospheric
chlorine chemistry, as determined by the difference with a sensitivity
simulation including no <inline-formula><mml:math id="M626" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> production and cycling. Panel <bold>(b)</bold>
shows the changes in surface air concentrations and panel <bold>(c)</bold> shows
the changes in zonal mean mixing concentrations as a function of latitude
and altitude. Black dashed lines indicate the tropopause. Numbers in <bold>(c)</bold> show the global tropospheric mean differences.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/3981/2019/acp-19-3981-2019-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Impact on tropospheric ozone and OH</title>
      <p id="d1e11502">Figure 9 also shows the effects of chlorine chemistry on <inline-formula><mml:math id="M627" 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>, OH, and
ozone concentrations. The global tropospheric burdens decrease by 5 % for
<inline-formula><mml:math id="M628" 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>, 3 % for OH, and 7 % for ozone. The interhemispheric (N/S)
ratio of tropospheric mean OH decreases from 1.14 to 1.12. Models tend to
overestimate global mean tropospheric OH and its interhemispheric ratio
relative to the constraint from methyl chloroform, which suggests a ratio of
0.85–0.98 (Naik et al., 2013; Voulgarakis et al., 2013). The effect of
chlorine chemistry on the <inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>/</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> ratio is slight but in the right direction.</p>
      <p id="d1e11539">The chlorine-induced decreases in Fig. 9 are mainly through bromine
chemistry initiated by chlorine (Sect. 5.2) and have spatial
distributions characteristic of bromine chemistry with maxima at high
latitudes as discussed by Schmidt et al. (2016). There are specific chlorine
mechanisms including catalytic ozone loss through HOCl formation and
photolysis:


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M630" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.Rx12"><mml:mtd><mml:mtext>R20</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:mi mathvariant="normal">ClO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Rx13"><mml:mtd><mml:mtext>R21</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">ClO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Rx14"><mml:mtd><mml:mtext>R22</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mover><mml:mo>⟶</mml:mo><mml:mrow><mml:mi mathvariant="normal">h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:mover><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Net</mml:mi><mml:mo>:</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            and also loss of <inline-formula><mml:math id="M631" 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>:


                <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M632" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.Rx16"><mml:mtd><mml:mtext>R23</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow class="chem"><mml:mi mathvariant="normal">ClO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Rx17"><mml:mtd><mml:mtext>R24</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><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:mo>→</mml:mo><mml:mi mathvariant="normal">HOCl</mml:mi><mml:mo>+</mml:mo><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></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            However, we find that the rates are very small compared to similar
mechanisms involving bromine and iodine because the stability of HCl
quenches Cl<inline-formula><mml:math id="M633" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> radical cycling.</p>
      <p id="d1e11786">A particular situation arises over polluted continents due to <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
chemistry. Production of <inline-formula><mml:math id="M635" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at night from the <inline-formula><mml:math id="M636" 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:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> heterogeneous reaction, followed by photolysis in the morning to
release Cl and <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">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, provides a source of radicals and ozone. This
explains the increases in OH over North America and Europe in Fig. 9. The
effect is most important at high northern latitudes in winter due to the
longer night. To isolate the impact on ozone we conducted a sensitivity
simulation with no <inline-formula><mml:math id="M638" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production, setting <inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> for
Reaction (R3) in Table 2. The surface air ozone enhancement due to
<inline-formula><mml:math id="M640" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry is found to be the largest (<inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> ppb) in
European winter, due to the large supply of <inline-formula><mml:math id="M642" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> from the North Atlantic
combined with high <inline-formula><mml:math id="M643" 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. Other polluted continents see ozone
increases of 1–5 ppb in winter. The effect in summer is less than 1 ppb.
These results are<?pagebreak page3996?> similar to previous regional modeling studies by Sarwar et al. (2014) and Sherwen et al. (2017).</p>
      <p id="d1e11913">Figure S1 shows the differences of BrO, <inline-formula><mml:math id="M644" 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>, OH, and ozone
concentrations between our model and the standard GEOS-Chem model version
11-02d including SSA de-bromination. Our explicit treatment of chlorine
chemistry and thermodynamic representation of aerosol pH increases the
global tropospheric BrO burden by 40 %. Most of this change is caused by
faster <inline-formula><mml:math id="M645" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> reaction at high latitudes, resulting from higher
<inline-formula><mml:math id="M646" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration in our model, particularly in cloud. The decrease in BrO in
the tropical MBL is caused by an increase in aerosol pH (pH was previously
assumed to be 0 for computation of bromine chemistry), which slows down the
acid-catalyzed recycling of bromine by Reactions (R5) and (R14). Our
computed global tropospheric burdens decrease by 4 % for <inline-formula><mml:math id="M647" 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>, 2 %
for OH, and 4 % for ozone relative to version 11-02d, again due to the
more active bromine chemistry. The increase in OH over continental regions
is due to our accounting of HCl dissolved in SNA aerosol, allowing marine
influence to extend further inland to drive <inline-formula><mml:math id="M648" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e11985">We have added to the GEOS-Chem model a comprehensive and consistent
representation of tropospheric chlorine chemistry. This includes, in
particular, explicit accounting of the mobilization of sea salt aerosol (SSA)
chloride (<inline-formula><mml:math id="M649" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), by acid displacement of HCl as well as by other
heterogeneous processes. Cycling of inorganic gas-phase chlorine species
(<inline-formula><mml:math id="M650" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) generated from SSA and other sources is simulated and coupled to
the model aerosol–oxidant–bromine–iodine chemistry. With our work, GEOS-Chem
now has a complete simulation of halogen (<inline-formula><mml:math id="M651" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Br</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">I</mml:mi></mml:mrow></mml:math></inline-formula>) chemistry in both the
troposphere and stratosphere.</p>
      <?pagebreak page3997?><p id="d1e12026">Emission of chlorine in the model is mainly as sea salt aerosol (1780 Tg Cl a<inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Other sources (combustion, organochlorines, stratospheric input)
are also included but are small in comparison. Most of the sea salt aerosol
chloride is removed by deposition, but 3.6 % is mobilized to inorganic
gas-phase chlorine (<inline-formula><mml:math id="M653" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) through acid displacement to HCl (52 Tg a<inline-formula><mml:math id="M654" 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 through other
heterogeneous chemistry producing more reactive
chlorine species (12 Tg a<inline-formula><mml:math id="M655" 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>). We define reactive chlorine (Cl<inline-formula><mml:math id="M656" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>) as the
ensemble of <inline-formula><mml:math id="M657" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> species excluding HCl and including Cl, ClO, <inline-formula><mml:math id="M658" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
BrCl, HOCl, <inline-formula><mml:math id="M659" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M660" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plus other minor species. Oxidation of
HCl by OH provides a Cl<inline-formula><mml:math id="M661" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> source of 9.7 Tg a<inline-formula><mml:math id="M662" 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>, comparable to the
heterogeneous source from <inline-formula><mml:math id="M663" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (8.6 Tg a<inline-formula><mml:math id="M664" 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="M665" 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:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (1.8 Tg a<inline-formula><mml:math id="M666" 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>) is also important in polluted
environments. Cycling among Cl<inline-formula><mml:math id="M667" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> species drives radical chlorine (<inline-formula><mml:math id="M668" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">ClO</mml:mi></mml:mrow></mml:math></inline-formula>)
chemistry but chain lengths are limited by fast conversion to HCl and
subsequent deposition.</p>
      <p id="d1e12239">HCl mixing ratios in the model are highest over the oceans downwind of
polluted continents due to effective acid displacement from sea salt aerosol
by <inline-formula><mml:math id="M669" 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="M670" 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>. Mixing ratios are much lower over the
Southern Ocean where the supply of acids is low. The dominant daytime Cl<inline-formula><mml:math id="M671" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>
species is generally HOCl while BrCl, <inline-formula><mml:math id="M672" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominate at
night. <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominates in the upper troposphere due to stratospheric
input. Chlorine atom concentrations are highest over Europe in winter due to
<inline-formula><mml:math id="M675" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry and are otherwise high over the northern midlatitude
oceans where the supply of acidity promotes Cl formation through both HCl
and acid-catalyzed heterogeneous processes.</p>
      <p id="d1e12323">Comparison of model results to observations in marine surface air shows that
the model is usually able to reproduce the range and distributions of
observed sea salt aerosol chloride deficits, HCl mixing ratios, and Cl<inline-formula><mml:math id="M676" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>
mixing ratios. In particular, concurrent observations of HCl and
<inline-formula><mml:math id="M677" 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 coastal/marine air worldwide show high correlation with the
model including high HCl mixing ratios at northern midlatitudes combined
with depressed <inline-formula><mml:math id="M678" 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>. Consideration of acid displacement greatly
improves model agreement with <inline-formula><mml:math id="M679" 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> observations in marine air. The
model can also successfully simulate observations of high <inline-formula><mml:math id="M680" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at
night including in continental air. The chlorine in that case originates from
sea salt aerosol transported far inland following uptake of volatilized HCl
by sulfate–nitrate–ammonium (SNA) aerosol. The model cannot reproduce the
very high HOCl and <inline-formula><mml:math id="M681" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations observed by Lawler et
al. (2009, 2011) at Cabo Verde in the tropical Atlantic.</p>
      <p id="d1e12392">Comparisons of model results to aircraft campaign observations from WINTER
(eastern US and offshore, February–March 2015), SEAC4RS (Southeast US,
August–September 2013), and KORUS-AQ (Korean peninsula, April–June 2016) show general
consistency for HCl vertical profiles. Continental boundary layer HCl mixing
ratios in these campaigns can be mostly accounted for by the marine source
transported inland, though power plants could make a minor contribution.
WINTER observations also include <inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M683" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and HOCl. The
observed <inline-formula><mml:math id="M684" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is mainly confined to the nighttime marine boundary
layer and is consistent with the model. Observed <inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at
night are much lower than the model, which has a large source under the
WINTER conditions from the <inline-formula><mml:math id="M686" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> heterogeneous reaction.
The rate coefficient for this reaction is from only one laboratory study.</p>
      <p id="d1e12457">The model simulates a global mean Cl atom concentration of 620 cm<inline-formula><mml:math id="M687" 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
the troposphere and 1200 cm<inline-formula><mml:math id="M688" 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 the marine boundary layer (MBL), lower
than previous global model studies that had excessive generation of Cl<inline-formula><mml:math id="M689" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> but
consistent with independent proxy constraints. We find that oxidation by Cl
atoms accounts for only 1.0 % of the global loss of atmospheric methane
but has larger effects on the global losses of ethane (20 %), propane
(14 %), and methanol (4 %). Chlorine chemistry increases global
tropospheric BrO by 85 % and decreases ozone and OH by 7 % and
3 %,
respectively, relative to a sensitivity simulation with no chlorine
chemistry. The large effect on BrO is due to production of bromine radicals
by the <inline-formula><mml:math id="M690" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HOBr</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> heterogeneous reaction, and the decreases in ozone
and OH are mainly through the induced bromine chemistry. An exception is
winter conditions over polluted regions, for which <inline-formula><mml:math id="M691" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry
increases ozone mixing ratios by up to 8 ppb.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e12524">The model code is available from the
corresponding author upon request and will be made available to the
community through the standard GEOS-Chem (<uri>http://www.geos-chem.org</uri>) in the
future. Data of the WINTER campaign are available to the general public at
<uri>https://www.eol.ucar.edu/field_projects/winter</uri>. Data of NASA
SEAC<inline-formula><mml:math id="M692" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS, KORUS-AQ, and INTEX-B missions are available to the
general public through the NASA data archive
(<uri>https://www-air.larc.nasa.gov/cgi-bin/ArcView/seac4rs</uri>,
<uri>https://www-air.larc.nasa.gov/cgi-bin/ArcView/korusaq</uri>, and
<uri>https://www-air.larc.nasa.gov/cgi-bin/ArcView/intexb</uri>). IMPROVE data are
available through the Federal Land Manager Environmental database
(<uri>http://views.cira.colostate.edu/fed</uri>). All links mentioned here were last accessed on 1 March 2019.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e12555">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-3981-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-3981-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e12564">XW, DJJ, and HL designed the study.
XW developed the chlorine model code and performed the simulations
and analyses. XW, SDE, MPS, LZ, QC, BA, TS, and MJE contributed to the
GEOS-Chem halogen model development. BHL, JDH, FDL, and JAT conducted and
processed the measurements during the WINTER campaign. GLH conducted and
processed the measurements during the SEAC<inline-formula><mml:math id="M693" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS, KORUS-AQ, and INTEX-B
campaigns. XW and DJJ prepared the paper with contributions from all
co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e12579">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e12585">This work was supported by the Atmospheric Chemistry Program of the
US National Science Foundation and by the Joint Laboratory for Air Quality
and Climate (JLAQC) between Harvard and the Nanjing University for
Information Science and Technology (NUIST). Qianjie Chen and Becky Alexander were supported by the
National Science Foundation (AGS 1343077).<?pagebreak page3998?> We thank Prasad S. Kasibhatla for
insightful discussion. WINTER data are provided by NCAR/EOL under sponsorship
of the National Science Foundation
(<uri>https://www.eol.ucar.edu/field_projects/winter</uri>, last access: 1 March 2019). SEAC<inline-formula><mml:math id="M694" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS,
KORUS-AQ, and INTEX-B data are provided by NASA LaRC Airborne Science Data
for Atmospheric Composition (<uri>https://www-air.larc.nasa.gov</uri>, last access: 1 March 2019). IMPROVE is
a collaborative association of state, tribal, and federal agencies and
international partners. The U.S. Environmental Protection Agency is the primary
funding source, with contracting and research support from the National Park
Service. The Air Quality Group at the University of California, Davis is the
central analytical laboratory, with ion analysis provided by the Research
Triangle Institute and carbon analysis provided by the Desert Research
Institute.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e12605">This paper was edited by Rolf Sander and reviewed by three
anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>The role of chlorine in global tropospheric chemistry</article-title-html>
<abstract-html><p>We present a comprehensive simulation of tropospheric chlorine
within the GEOS-Chem global 3-D model of oxidant–aerosol–halogen atmospheric
chemistry. The simulation includes explicit accounting of chloride
mobilization from sea salt aerosol by acid displacement of HCl and by other
heterogeneous processes. Additional small sources of tropospheric chlorine
(combustion, organochlorines, transport from stratosphere) are also included.
Reactive gas-phase chlorine Cl*, including Cl, ClO, Cl<sub>2</sub>, BrCl, ICl,
HOCl, ClNO<sub>3</sub>, ClNO<sub>2</sub>, and minor species, is produced by the
HCl + OH reaction and by heterogeneous conversion of sea salt aerosol
chloride to BrCl, ClNO<sub>2</sub>, Cl<sub>2</sub>, and ICl. The model
successfully simulates the observed mixing ratios of HCl in marine air
(highest at northern midlatitudes) and the associated HNO<sub>3</sub>
decrease from acid displacement. It captures the high ClNO<sub>2</sub> mixing
ratios observed in continental surface air at night and attributes the
chlorine to HCl volatilized from sea salt aerosol and transported inland
following uptake by fine aerosol. The model successfully simulates the
vertical profiles of HCl measured from aircraft, where enhancements in the
continental boundary layer can again be largely explained by transport inland
of the marine source. It does not reproduce the boundary layer Cl<sub>2</sub>
mixing ratios measured in the WINTER aircraft campaign (1–5&thinsp;ppt in the
daytime, low at night); the model is too high at night, which could be due to
uncertainty in the rate of the ClNO<sub>2</sub> + Cl<sup>−</sup> reaction, but we have
no explanation for the high observed Cl<sub>2</sub> in daytime. The global
mean tropospheric concentration of Cl atoms in the model is 620&thinsp;cm<sup>−3</sup>
and contributes 1.0&thinsp;% of the global oxidation of methane, 20&thinsp;% of
ethane, 14&thinsp;% of propane, and 4&thinsp;% of methanol. Chlorine chemistry
increases global mean tropospheric BrO by 85&thinsp;%, mainly through the
HOBr + Cl<sup>−</sup> reaction, and decreases global burdens of tropospheric
ozone by 7&thinsp;% and OH by 3&thinsp;% through the associated bromine radical
chemistry. ClNO<sub>2</sub> chemistry drives increases in ozone of up to
8&thinsp;ppb over polluted continents in winter.</p></abstract-html>
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