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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <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-18-15419-2018</article-id><title-group><article-title>A comprehensive organic nitrate chemistry: insights into the lifetime of
atmospheric organic nitrates</article-title><alt-title>Insights into the lifetime of
atmospheric organic nitrates</alt-title>
      </title-group><?xmltex \runningtitle{Insights into the lifetime of
atmospheric organic nitrates}?><?xmltex \runningauthor{A.~Zare et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zare</surname><given-names>Azimeh</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Romer</surname><given-names>Paul S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4983-743X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Nguyen</surname><given-names>Tran</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9206-4359</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>Keutsch</surname><given-names>Frank N.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff6">
          <name><surname>Skog</surname><given-names>Kate</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff4">
          <name><surname>Cohen</surname><given-names>Ronald C.</given-names></name>
          <email>rccohen@berkeley.edu</email>
        <ext-link>https://orcid.org/0000-0001-6617-7691</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Chemistry, University of California Berkeley, Berkeley, CA,
USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>College of Agricultural and Environmental Sciences, University of
California, Davis, CA, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Chemistry, University of Wisconsin-Madison, Madison, WI, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Earth and Planetary Sciences, University of California
Berkeley, Berkeley, CA, USA</institution>
        </aff>
        <aff id="aff5"><label>a</label><institution>now at: School of Engineering and Applied Sciences and Department of
Chemistry &amp; Chemical Biology,<?xmltex \hack{\break}?> Harvard University, Cambridge, MA, USA</institution>
        </aff>
        <aff id="aff6"><label>b</label><institution>now at: Department of Chemical &amp; Environmental Engineering, Yale
University, New Haven, CT, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ronald C. Cohen (rccohen@berkeley.edu)</corresp></author-notes><pub-date><day>26</day><month>October</month><year>2018</year></pub-date>
      
      <volume>18</volume>
      <issue>20</issue>
      <fpage>15419</fpage><lpage>15436</lpage>
      <history>
        <date date-type="received"><day>28</day><month>May</month><year>2018</year></date>
           <date date-type="rev-request"><day>13</day><month>June</month><year>2018</year></date>
           <date date-type="rev-recd"><day>22</day><month>September</month><year>2018</year></date>
           <date date-type="accepted"><day>9</day><month>October</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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>
    <p id="d1e162">Organic nitrate chemistry is the primary control over the lifetime of
nitrogen oxides (<inline-formula><mml:math id="M1" 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>) in rural and remote continental
locations. As <inline-formula><mml:math id="M2" 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 decrease, organic nitrate
chemistry becomes increasingly important to urban air quality. However, the
lifetime of individual organic nitrates and the reactions that lead to their
production and removal remain relatively poorly constrained, causing organic
nitrates to be poorly represented by models. Guided by recent laboratory and
field studies, we developed a detailed gas-phase chemical mechanism
representing most of the important individual organic nitrates. We use this
mechanism within the Weather Research and Forecasting (WRF) model coupled
with Chemistry (WRF-Chem) to describe
the role of organic nitrates in nitrogen oxide chemistry and in comparisons
to observations. We find the daytime lifetime of total organic nitrates with
respect to all loss mechanisms to be 2.6 h in the model. This is consistent
with analyses of observations at a rural site in central Alabama during the
Southern Oxidant and Aerosol Study (SOAS) in summer 2013. The lifetime of the
first-generation organic nitrates is <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> h versus the 3.2 h lifetime
of secondary nitrates produced by oxidation of the first-generation nitrates.
The different generations are subject to different losses, with dry
deposition to the surface being the dominant loss process for the
second-generation organic nitrates and chemical loss being dominant for the
first-generation organic nitrates. Removal by hydrolysis
is found to be responsible for the loss of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>  % of the total
organic nitrate pool.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e214">In remote continental regions, biogenic volatile organic compounds (BVOCs),
including isoprene and terpenes, are the most reactive organic compounds in
the atmosphere (Guenther, 2013). The oxidative chemistry of BVOCs affects the
distribution of oxidants (OH, <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and the lifetime
of <inline-formula><mml:math id="M7" 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> <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>), creating a feedback
loop that affects oxidant concentrations, the lifetime of BVOCs and secondary
organic aerosol (SOA) formation. Along the pathway to complete oxidation of BVOCs,
reactions with the nitrogen oxide family radicals (NO, <inline-formula><mml:math id="M9" 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="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) to form organic nitrate products (e.g., Perring et al., 2013)
are an important branch point that sets the importance of this feedback
(Carlton et al., 2018; Mao et al., 2018).</p>
      <?pagebreak page15420?><p id="d1e294">During the day, BVOCs react with the hydroxyl radical (HO) and peroxy
radicals (<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are formed. At high and even modest concentrations
of <inline-formula><mml:math id="M12" 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>, the peroxy radicals react primarily with NO. The
major products of that reaction are <inline-formula><mml:math id="M13" 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 an alkoxy radical (RO).
There is also a minor channel (with a branching fraction <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) that
results in addition of the NO to the peroxy radical, resulting in an organic
nitrate (<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) product. During the night, nitrate radicals
(<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), the product of the oxidation of <inline-formula><mml:math id="M17" 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> by
<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, are also a major source of <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. BVOCs react with
<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, resulting in the formation of nitrooxy peroxy radicals in high
yields. The radicals subsequently react to form closed shell <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
with branching ratio <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>.</p>
      <p id="d1e423">In the last decade, there have been major updates to our understanding of the
chemical reactions that occur during isoprene oxidation (Paulot et al.,
2009a, b; Crounse et al., 2011; Liu et al., 2013; Peeters et al., 2014;
Nguyen et al., 2014; Wolfe et al., 2016; Mills et al., 2016; Teng et al.,
2017). This understanding includes recognition that the yield of
<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from reaction of isoprene peroxy radicals with NO is
11 %–15 %, which is at the high end of the range reported in earlier
laboratory experiments (Wennberg et al., 2018). The yield of nitrates from
monoterpene oxidation is less clear as laboratory data indicate a very wide
range (e.g., from greater than 1 %, Aschmann et al., 2002, to 26 %,
Rindelaub et al., 2015). For <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation of isoprene experimental
data show that the yield, <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>, is high and varies in the range of
65 %–80 % (Perring et al., 2009a; Rollins et al., 2009; Kwan et al.,
2012).</p>
      <p id="d1e455">Once formed, <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be photolyzed or oxidized to produce
<inline-formula><mml:math id="M27" 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> or <inline-formula><mml:math id="M28" 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> along with an organic partner, or they
can serve as reservoirs of <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> that can be transported or deposited
to the surface. An additional pathway for gas-phase <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss is
partitioning into aerosol in either an organic phase where vapor pressure
would describe partitioning or an aqueous phase where a Henry's law constant
would describe solubility. In the aerosol, the <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can undergo
liquid-phase reaction. Some <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are rapidly hydrolyzed with
timescales on the order of hours to minutes under environmentally relevant pH
conditions (Jacobs et al., 2014; Boyd et al., 2015; Rindelaub et al., 2016),
while other nitrates are thought to be relatively stable against hydrolysis
in neutral conditions (Hu et al., 2011). The main nitrogen-containing product
of organic nitrate hydrolysis is nitric acid (Darer et al., 2011). Using
measurements of organic nitrates and nitric acid over the Canadian boreal
forest and southeast United States, Browne et al. (2013) and Romer et
al. (2016) provide evidence that hydrolysis of monoterpene and isoprene
nitrates is likely a significant loss process and contributes to
<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production. The short lifetime of <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to deposition
in the boundary layer means that organic nitrate loss through hydrolysis in
the boundary layer is a permanent sink of <inline-formula><mml:math id="M35" 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>.</p>
      <p id="d1e570">For any organic nitrate, its structure determines the rate of its oxidation
and photolysis as well as the rate of hydrolysis and deposition.
Multifunctional nitrates containing hydroxyl or peroxide groups are likely to
have deposition rates much faster than the rates for monofunctional nitrates
(Shepson et al., 1996). The dry deposition of organic nitrates has been
discussed in the studies by Farmer and Cohen (2008) and Nguyen et al. (2015).
Nguyen et al. (2015) directly measured deposition rates of organic nitrates
from BVOCs and the first-generation isoprene nitrates were observed to have
a daytime dry deposition velocity of <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> cm s<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>, which is higher
than the values currently used in most models (Ito et al., 2009; Mao et al.,
2013; Browne et al., 2014).</p>
      <p id="d1e595">Unlike hydrolysis of organic nitrates in aerosol and deposition of organic
nitrates to the surface, which is considered a sink of nitrogen oxides from
the atmosphere, oxidation and photolysis of <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may recycle
<inline-formula><mml:math id="M39" 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>. Different assumptions regarding <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
recycling during organic nitrate oxidation result in large variations in
simulating <inline-formula><mml:math id="M41" 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="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (von Kuhlmann et al., 2004;
Fiore et al., 2005; Wu et al., 2007; Horowitz et al., 2007; Paulot et al.,
2012). For example, Xie et al. (2013) showed that the uncertainty in the
fraction of <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> returned to the atmosphere during isoprene
nitrate oxidation had a larger impact than uncertainty in isoprene nitrate
yield on <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production. This affirms the need for characterization
of the fate and lifetime of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the atmosphere. New clarity is
available for the chemical fate of the first-generation isoprene nitrates
(e.g., Lee et al., 2014; Xiong et al., 2015, 2016), while much less is known
about the fate of organic nitrates formed from monoterpenes. Because few of
these loss processes have been measured, especially for highly oxidized or
monoterpene nitrates, there is large uncertainty associated with any
description of the lifetime of organic nitrates. Several modeling studies
(Paulot et al., 2012; Xie et al., 2013; Mao et al., 2013) have focused
specifically on the fate of isoprene nitrates and have found that how their
chemistry is represented has major consequences for <inline-formula><mml:math id="M46" 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="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Recently, Browne et al. (2014) extended the representation of
organic nitrate chemistry by including in detail the gas-phase chemistry of
monoterpenes and discussed different scenarios for uncertain loss processes
of monoterpene nitrates. Their improved mechanism for BVOC chemistry has been
used as a skeleton for several subsequent modeling studies (e.g., Fisher et
al., 2016 and this work).</p>
      <p id="d1e709">However, none of these models has yet combined detailed molecular
representations of individual <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> derived from anthropogenic,
isoprene and monoterpene VOC precursors. Here we describe the development of
a gas-phase mechanism along those lines. In a forthcoming paper we couple the
mechanism described here to aerosol and cloud properties. Here we approximate
the effects of aerosols and clouds with simpler parameters representing the
effects of the condensed-phase chemistry. The model calculations are compared
to observations from the SOAS (the Southern Oxidant and Aerosol Study)
campaign in the rural southeastern United States in summer 2013. We explore
the relative contributions of OH and <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry to the
production of organic nitrates from BVOCs and investigate the importance of
different organic nitrate loss processes. Then we explore the lifetime of
organic nitrates and consequences of organic nitrate chemistry for
atmospheric <inline-formula><mml:math id="M50" 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>. This information helps to understand the
role of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the <inline-formula><mml:math id="M52" 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 ozone budgets in the
moderate <inline-formula><mml:math id="M53" 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>, BVOC-dominated terrestrial environments that
represent the most common chemical regime on the continents during summer.</p>
</sec>
<?pagebreak page15421?><sec id="Ch1.S2">
  <title>Model description: WRF-Chem model</title>
      <p id="d1e785">We use the Weather Research and Forecasting (WRF) model coupled with
Chemistry (WRF-Chem) version 3.5.1 (Grell et al., 2005) with a horizontal
resolution of 12 km over the eastern United States. Our simulation domain is
defined on the Lambert projection, which is centered at 35<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
87<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W and has 290 and 200 grid points in the west–east and
south–north directions, respectively (see Fig. 3 for the horizontal domain).
The vertical coordinate is hybrid sigma-pressure that covers 30 levels from
the surface to 100 hPa. Near-surface levels follow terrain and gradually
transition to constant pressure at higher levels. Vertical grid spacing
varies with height such that finer spacing is assigned to the lower
atmosphere while coarser vertical spacing is applied at higher levels. In
this analysis, the model predictions are averaged over two lowest model
levels (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> m) used for comparison with ground-based measurements
taken from a 20 m walk-up tower. The predicted concentrations in the boundary
layer are described as an average over eight vertical model levels with a height
(<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m) that is comparable with the planetary boundary layer depth
at midday in the southeastern United States in June 2013. Meteorological data for
initial and boundary conditions are driven by the North American Regional
Reanalysis (NARR) and data for the chemical initial and boundary conditions
are taken from MOZART (Emmons et al., 2010). The model simulation period is
from 27 May to 30 June 2013, with the first 5 days as spin-up, similar to
Browne et al. (2014), to remove the impact of initial conditions.</p>
      <p id="d1e826">Anthropogenic emissions are based on the US EPA 2011 National Emission
Inventory (NEI) and scaled to 2013 based on the changes in the annual average
emissions from 2011 to 2013. The appropriate scale factors have been derived
from the NEI Air Pollutant Emissions Trend Data. We also adjust
<inline-formula><mml:math id="M58" 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 (uniformly reduced by 50 %) following
Travis et al. (2016), who suggest that reduced <inline-formula><mml:math id="M59" 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
can better reproduce the SEAC4RS aircraft measurements for the southeastern
United States. Lightning emissions of <inline-formula><mml:math id="M60" 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> are not included
in the model. Lightning <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is mainly released at the top of
convective updrafts (Ott et al., 2010) and does not strongly impact the
distribution of <inline-formula><mml:math id="M62" 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> in the boundary layer (e.g., Laughner and Cohen,
2017). Biogenic emissions of isoprene, monoterpenes, other BVOCs, oxygenated
VOCs (OVOCs) and nitrogen gas emissions from the soil are parameterized
using the Model of Emissions of Gases and Aerosol from Nature (MEGAN)
(Guenther et al., 2006).</p>
      <p id="d1e884">Gas-phase reactions are simulated using the second-generation Regional
Atmospheric Chemistry Mechanism (RACM2) (Goliff et al., 2013), as updated by
Browne et al. (2014) and with additions to the mechanisms as described below,
which is implemented with the kinetic preprocessor (KPP) software (Damian et
al., 2002). The Modal Aerosol Dynamics Model for Europe–Secondary Organic
Aerosol Model (MADE/SORGAM) aerosol module (Ackermann et al., 1998; Schell et
al., 2001) is used to treat organic and inorganic aerosols. This two-product
aerosol scheme does not treat the partitioning of individual chemical species
such as organic nitrates. Therefore, we focus here only on investigating the
impacts of the gas-phase representation of the chemistry and a full
consideration of the gas and aerosol in a coupled framework is a subject of
continuing research.</p>
<sec id="Ch1.S2.SS1">
  <title>Chemical mechanism</title>
      <p id="d1e892">We base our core chemistry on a modified version of RACM2
(Goliff et al., 2013). The base we begin
with is described by Browne and Cohen (2012) and Browne et
al. (2014) and is referred to
here as the RACM2_Berkeley scheme. Full details of the
RACM2_Berkeley mechanism and a complete list of the compounds
can be found in Browne et
al. (2014). RACM2_Berkeley includes updates to the isoprene oxidation mechanism
(Paulot
et al., 2009a, b; Peeters and Müller, 2010; Lockwood et al., 2010;
Stavrakou et al., 2010; Crounse et al., 2011), an extended mechanism for
anthropogenic-originated organic nitrates (Carter
and Atkinson, 1989; Middleton et al., 1990; Arey et al., 2001), and updates
for monoterpene chemistry. Browne et
al. (2014) evaluated the
RACM2_Berkeley mechanism using aircraft observations over the
Canadian boreal forest.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e897">Schematic representation of the formation of isoprene nitrates (in
green) initiated by OH oxidation. Rerelease of the consumed
<inline-formula><mml:math id="M63" 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> to the atmosphere by chemical loss processes of
oxidation, ozonolysis and photolysis of organic nitrate is shown in red. See
Table S2 in the Supplement for species descriptions.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f01.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e919">Schematic representation of the formation of isoprene nitrates (in
green) initiated by <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation. For simplification, fates of
only one isomer of hydroxy nitrates (IHNB and IHND) and nitrooxy hydroperoxide
(INPB and INPD) are shown. See Table S2 in the Supplement for species
descriptions.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f02.png"/>

        </fig>

      <p id="d1e940">In this study, the RACM2_Berkeley scheme is further updated
with recent advances in the representation of OH- and <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated
BVOC oxidation under both low- and high-<inline-formula><mml:math id="M66" 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> conditions, as
well as with improved deposition rates, and is denoted RACM2_Berkeley2 (see Tables S1–S3 in the Supplement). We begin with a more complete
description of recent advances in our understanding of isoprene chemistry
(Fig. 1). The hydroxy peroxy radical (ISOPO2) that is the product of isoprene
oxidation by OH has multiple potential fates. ISOPO2 can undergo unimolecular
isomerization, leading to the production of hydroperoxy aldehydes (HPALD),
among other products. It can react with <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to produce isoprene hydroxy
hydroperoxide (ISHP), methyl vinyl ketone (MVK), methacrolein (MACR) and
<inline-formula><mml:math id="M68" 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>. The latter three species can also be formed from the reactions of
ISOPO2 with other (acetyl or methyl) peroxy radicals. ISHP reacts with OH to
form isoprene epoxydiols (IEPOX) and regenerate OH. St. Clair et
al. (2015)
found that the reaction rate of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ISHP</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> is approximately 10 % faster
than the rate given by Paulot et al. (2009b) and
indicate the relative role of the different isomers of ISHP. Here we use
kinetics and products of the reactions of three different isomers of ISHP
with OH based on St. Clair et
al. (2015).
We also increase the molar yield of total ISHP from the <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ISOPO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>
reaction to 93.7 % (Liu
et al., 2013), with a decrease in the yields of MVK, MACR and <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to
maintain mass balance. We use rates from Bates et
al. (2016) for reactions of three
different isomers of IEPOX with OH.</p>
      <?pagebreak page15422?><p id="d1e1034"><?xmltex \hack{\newpage}?>We maintain the overall branching ratio of isoprene nitrates at 11.7 % as
in Browne et al. (2014) while
changing the mix of isomers. Browne et
al. (2014) implemented a scheme
for the reaction of ISOPO2 with NO, based on experiments conducted by Paulot
et al. (2009b), including <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>- and <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-hydroxy isoprene nitrates (ISOPNB and ISOPND) with yields of 4.7 % and
7.0 %, respectively. Here we update the yield of <inline-formula><mml:math id="M74" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> versus <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> isomers to 10.5 % and 1.2 %, respectively. A theoretical study by
Peeters et al. (2014)
showed that the peroxy radical redissociations are fast and peroxy isomers
may interconvert, so that <inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> isomers comprise <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> % of the
radical pool. The experimental findings of Teng et al. (2017) are
also consistent with that idea. Simulations by Fisher et
al. (2016)
showed that an isoprene hydroxy radical distribution leading to 90 %
ISOPNB and 10 % ISOPND is consistent with SOAS observations.</p>
      <p id="d1e1084">ISOPND and ISOPNB then photolyze or react with <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or OH to yield
either <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> or second-generation organic nitrates. We update
reaction rates of isoprene hydroxy nitrate oxidation based on Lee et
al. (2014). Compared to the RACM2_Berkeley mechanism (based on Paulot et
al., 2009b and Lockwood et al., 2010), the reaction rates for
<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ISOPNs</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> are increased and the rate coefficients of
<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ISOPNs</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> are decreased. The model represents the products
of the reactions of ISOPND and ISOPNB with OH as ISOPNDO2 and ISOPNBO2. We
update the reaction of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">ISOPNB</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to include a small yield of
IEPOX and <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (12 %) as found by Jacobs et al. (2014). We also
update the rate constants for reaction of ISOPNDO2 and ISOPNBO2 with NO,
producing second-generation isoprene nitrates following Lee et al. (2014).
Second-generation isoprene nitrates from the OH-initiated pathway include
ethanal nitrate (ETHLN), propanone nitrate (PROPNN), multifunctional isoprene
nitrate (IMONIT), methacrolein nitrate (MACRN) and methyl vinyl ketone nitrate
(MVKN). MACRN and MVKN can also be formed directly from photooxidation of MVK
and MACR under high-<inline-formula><mml:math id="M84" 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> conditions. Here, we follow Praske
et al. (2015) to update MVK chemistry under both low- and
high-<inline-formula><mml:math id="M85" 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> conditions, resulting in greater recycling of OH
and <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and decreased formation of organic nitrates from reactions
with NO or <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1210">In addition to OH chemistry, isoprene is oxidized by <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In
RACM2_Berkeley, the isoprene <inline-formula><mml:math id="M89" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry was
parameterized with one generic organic nitrate as the<?pagebreak page15423?> product. Recently,
Schwantes et
al. (2015)
developed a kinetic mechanism for <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated oxidation of
isoprene in which products, branching ratios and rate constants are
estimated based on recent experimental results. Their suggested products from
<inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation of isoprene are consistent with organic nitrates
detected in the ambient atmosphere during SOAS. RACM2_Berkeley2 treats
the <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated oxidation of isoprene in some
detail with formation and subsequent oxidation of isoprene nitrates largely
based on the work of Schwantes et
al. (2015)
and Rollins et
al. (2009)
(Fig. 2). In the first step, <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> addition to isoprene forms a
nitrooxy peroxy radical (<inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and then, depending on the radical the
<inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reacts with, first-generation isoprene nitrates are formed,
namely C5 carbonyl nitrate (ICN), <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>- and <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-hydroxy nitrate
(IHNB and IHND) and <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>-nitrooxy hydroperoxide (INPB and
INPD).</p>
      <p id="d1e1338">We set the ICN yield at 54 % and 72 % for the
<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> reactions, respectively. ICN is a
first-generation isoprene nitrate that is reactive towards <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Rollins et al.,
2009). Subsequent oxidation of ICN by <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forms second-generation
isoprene nitrates as well as nitric acid at rates and yields based on the Master
Chemical Mechanism (MCM v3.2) (Jenkin
et al., 1997; Saunders et al., 2003). MCM v3.2 uses a reaction rate
coefficient of <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.22</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">14</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molec<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> s<inline-formula><mml:math id="M108" 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> at 298 K,
which is 5 times slower than the rate given by Rollins et
al. (2009) and an
order of magnitude faster than the rate given by Schwantes et
al. (2015).
Given the differences in the experimental data, splitting the difference by
using the MCM rate seems a reasonable choice.</p>
      <p id="d1e1455">IHNB and IHND are also identified in the chamber experiments as products of
the <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> reaction. We follow Schwantes et
al. (2015)
and use rate constants and products, respectively, from Lee et
al. (2014) and Jacob et
al. (2014), for the
subsequent fate of IHNB and IHND upon reaction with OH. We note that these
rate constants and products correspond to the rate constants and products for
the reactions of ISOPND and ISOPNB (OH-initiated isoprene hydroxy nitrates)
with OH. In Fig. 2, we only show reactions for one of the isomers.</p>
      <?pagebreak page15424?><p id="d1e1479">Nitrooxy hydroperoxides (INPD and INPB) are the dominant products of the
<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> reaction with a combined 77 % yield, most
of which is <inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> isomers (INPD). Schwantes et al. (2015) found that the
total molar yield of INPD and INPB per reacted isoprene is higher than the
yield found in previous studies (Ng et al., 2008; Kwan et al., 2012). In
these previous studies, the carbonyl nitrate (ICN) was the main contributor
to the family of isoprene nitrates produced by <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated
chemistry and nitrooxy hydroperoxides (INPD and INPB) were a minor fraction.
The difference is likely caused by variation in the fate of the nitrooxy
peroxy radical (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> vs.
<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) under different experimental conditions. The
fate of this radical (<inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">INO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in the nighttime atmosphere is still
highly uncertain (Brown and Stutz, 2012; Boyd et al., 2015).</p>
      <p id="d1e1572">Chamber experiments by Schwantes et
al. (2015) suggested that OH reacts with INPD and INPB to form second-generation
isoprene nitrates and nitrooxy hydroxy epoxides (INHE), a newly identified
product that undergoes a similar heterogeneous chemistry as IEPOX and can
impact secondary organic aerosol formation. We set the yield of the
INHE <inline-formula><mml:math id="M116" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> isomer from INPD at 37 % and yield of the INHE <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> isomer from INPB at 78 %. Those are lower than the IEPOX yield formed
from ISHP. INHE isomers will be further oxidized by OH, leading to recycling
of <inline-formula><mml:math id="M118" 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> or forming a later generation of organic nitrates. We
use the same rates that we use for OH oxidation of IEPOX isomers (Schwantes
et al., 2015; Bates et al., 2016). In this scheme, we also assume that INPD
and INPB undergo hydrogen abstraction from the hydroperoxide group with the
same rate constants as those we use for hydrogen abstraction from the
hydroperoxide group of ISHP as suggested by St. Clair et
al. (2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e1602"><bold>(a)</bold> Concentrations of total organic nitrates for the
average of the model simulation period (June 2013). <bold>(b)</bold> Fractional
contribution of BVOC-derived organic nitrates to total organic nitrates. The
location of the SOAS CTR ground site is circled in the figure.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f03.png"/>

        </fig>

      <p id="d1e1616">C4 carbonyl hydroperoxy nitrates (R4NO) and C4 carbonyl hydroxy nitrates (R4N) form from
oxidation of the first-generation isoprene nitrates. In reaction with OH,
they produce propanone nitrate. The subsequent fate of PROPNN is
dominated by oxidation by OH and photolysis, resulting in the return of
<inline-formula><mml:math id="M119" 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> to the atmosphere. Here, we include a photolysis rate
for PROPNN and other carbonyl nitrates (ICN, ETHLN), MVKN and MACRN that is
faster than that used in some other recent mechanisms following the
recommendations in Müller et al. (2014). These rates are 10 times larger
than the rates given by Paulot et al. (2009a). We use the enhanced photolysis
rate of PROPNN for carbonyl nitrate ICN formed from <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated
isoprene oxidation and also include photolysis reactions for other new
isoprene nitrate species, following Schwantes et al. (2015) and MCM v3.2. The
fast photolysis reactions of organic nitrates implemented in this work lead
to an increase in <inline-formula><mml:math id="M121" 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> concentrations.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Organic nitrate deposition to surfaces</title>
      <p id="d1e1659">We use the resistance-based approach based on the original formulation of
Wesely (1989) to calculate dry
deposition velocities. Dry deposition rates of <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
RACM2_Berkeley follow Ito et
al. (2007). In RACM2_Berkeley2, using the same formalism, we update the dry deposition parameters
(effective Henry's Law coefficients, H*; and reactivity factors, f0) for
isoprene nitrates as recommended by Nguyen et
al. (2015), which results
in more rapid removal than in RACM2_Berkeley (Table S3 in the
Supplement). We also update the dry deposition parameters for
monoterpene-derived nitrates that were previously assumed to deposit at a
rate similar to the deposition rate of isoprene hydroxy nitrates (Browne
et al., 2014; Ito et al., 2007). Dry deposition velocities of the nitrooxy
hydroxy epoxides (INHE) are assumed to be similar to the updated depositional
loss rate of IEPOX, given by Nguyen et
al. (2015).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Hydrolysis of tertiary nitrates</title>
      <p id="d1e1679">In addition to oxidation, photolysis and deposition to the surface, another
possible fate of organic nitrates is uptake to the aerosol phase followed by
hydrolysis. A rapid hydrolysis (Hu
et al., 2011; Jacobs et al., 2014) is recognized for tertiary nitrates, while
non-tertiary nitrates under atmospheric conditions are considered unreactive (Darer
et al., 2011; Boyd et al., 2015). Due to the limitations of the model
representation of organic nitrate aerosol from either aqueous (Marais
et al., 2016) or vapor-pressure-dependent pathways (Pye et al., 2015), we
represent this process for gas-phase organic nitrates by applying a
timescale of 3 h for tertiary nitrates based on the laboratory chamber study by
Boyd et
al. (2015).
The fraction of tertiary (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">tertiary</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) vs. non-tertiary nitrates is
estimated, depending upon the molecular structure of the nitrate, from MCM
v3.2.</p>
      <p id="d1e1693">We apply <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">tertiary</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 41 % for <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> isomers of isoprene nitrates
from OH oxidation while we assume that all <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> isomers are
non-tertiary. Most of the nitrates formed by <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated
chemistry of isoprene are not tertiary nitrates. The fraction of tertiary
nitrates for monoterpene-derived nitrates is also different for species
formed by OH oxidation than from <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation. In
RACM2_Berkeley2, we introduce TONIH (C10 nitrooxy
hydroperoxide), TONIN (saturated) and UTONIN (unsaturated)
monoterpene-derived nitrates from <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation, which differ from
the unsaturated (UTONIT) and saturated (TONIT) monoterpene-derived nitrates
from OH oxidation. Since contributions of tertiary limonene, <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene
and <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene nitrates from <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction are 35 %,
15 % and 50 % (MCM v3.2), respectively, we define <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">tertiary</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at
35 % as an average for TONIH, UTONIN and TONIN. <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">tertiary</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
defined at 77 % for UTONIT and TONIT. The value is the average of the
62 % for <inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene nitrates and 92 % for <inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene
nitrates and is equal to the 77 % for limonene nitrates from OH
chemistry.</p>
      <p id="d1e1817">Further changes in the RACM2_Berkeley2 mechanism for
monoterpene nitrate chemistry consist of a revised reaction rate for
API <inline-formula><mml:math id="M137" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The rate constant is calculated as an average of the
rates given in MCM v3.2 for <inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene, as API in
the mechanism indicates a 50–50 mixture of <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene and <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene. In our mechanism, following Browne et
al. (2014), first-generation monoterpene nitrates react with <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH and form
second-generation nitrates. Here, we also add reaction of first-generation
monoterpene nitrates with <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with the rate constant K <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.15</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">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> exp(<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">448.0</mml:mn><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Temp</mml:mi></mml:mrow></mml:math></inline-formula>), following Fisher et
al. (2016).
We assume the second-generation monoterpene nitrate can oxidize, photolyze
and deposit identically to nitric acid (Browne et al., 2014). In
summary, we have described a detailed chemical mechanism tracking individual
organic nitrates in some<?pagebreak page15425?> detail through second-generation products of
isoprene and monoterpene oxidation.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
      <p id="d1e1930">We evaluate our mechanism by comparison to SOAS observations in Bibb County,
Alabama (32.90<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N latitude, 87.25<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W
longitude), in summer 2013 (Carlton
et al., 2018; Mao et al., 2018). These observations together with field
campaign data from the long-term monitoring site in the Southeastern Aerosol
Research and Characterization (SEARCH) Network (Hansen et al., 2003) (at the same
location) provide unique resources for evaluation of our model of organic
nitrate chemistry. The measurements include total and speciated organic
nitrates, gas-phase and aerosol organic nitrates, <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> radicals, a wide
range of VOCs and ozone (Pye et al., 2015; Romer et al., 2016; Lee et al., 2016).</p>
<sec id="Ch1.S3.SS1">
  <title>Organic nitrate concentrations</title>
      <p id="d1e1967">Figure 3a shows the spatial distribution of total organic nitrates for the
24 h average of the model simulation period at the surface. The location of
the SOAS ground site (at Centreville, CTR) is circled in the figure. The campaign area
is in a location with among the highest modeled organic nitrate
concentrations in the region, up to 350 ppt. Figure 3b highlights that the
modeled <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> originating from biogenic VOCs dominate over the
organic nitrates with anthropogenic VOC precursors over most of the domain.
In the southeast, up to 80 % of organic nitrates are biogenic. Biogenic
nitrates are 40 %–50 % in the northern portion.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e1983">Median diurnal cycles of observed (black) and simulated (red) total
organic nitrates at Centreville during the 2013 SOAS campaign. The vertical
bars show the interquartile range of the hourly data. The panel includes the
mean of the simulated and observed organic nitrates. Diurnal cycles of the
OH-initiated, <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated and second-generation organic nitrate
concentrations are shown as the stacked bars.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f04.png"/>

        </fig>

      <p id="d1e2003">Figure 4 compares the median diurnal cycle of observed total organic nitrates
from the SOAS campaign to the model simulation during the simulation period.
Total organic nitrates in both the gas and particle phase were measured by
TD-LIF (thermal dissociation laser-induced fluorescence, Day et al., 2002).
Temporal variability in the total organic nitrates for the entire time series
is reproduced with little bias (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> and normalized mean bias
(NMB) <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 32 %). Although the mean of the simulated organic nitrates
(<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.26</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula>) slightly overestimates the mean of the observations
(<inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>), the medians are found to be within variability of the
observations. The simulated mean of total <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in this study is in
the range of two other recent modeling studies over the southeastern United
States in summer 2013<?pagebreak page15426?> that simulated 200 ppt (Fisher et al., 2016) and
270 ppt (Li et al., 2018). However, in both of these studies <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
derived from anthropogenic VOC precursors were not included. In our
simulation, these organic nitrates represent <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> % of total
<inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Specific sources of the differences include the slightly
smaller yield of 10 % for isoprene nitrates and application of a
3 h hydrolysis lifetime only for ISOPNB in Li et al. (2018). Fisher et
al. (2016) apply a faster hydrolysis rate (1 h) for all organic nitrates and
a lower yield (9 % for isoprene nitrates).</p>
      <p id="d1e2096">The highest bias in the model median values and variability is observed
after sunset to sunrise, which is likely caused by mismatch in vertical
turbulent mixing in the simulated and actual boundary layers. Inclusion of
hydrolysis as a possible fate for tertiary organic nitrates results in
significant improvement of the simulations compared to the observations (not
shown here). Tertiary nitrates have shorter lifetime against hydrolysis under
atmospheric conditions, compared to the lifetime against deposition (Fig. S1
in the Supplement), making them the most important sink of nitrates. Li et
al. (2018)
also showed, by introducing the hydrolysis of ISOPNB, the model relative bias
of total <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was reduced by 18 % during ICARTT (International Consortium for Atmospheric
Research on Transport and Transformation, summer 2004)
over the southeastern United States.</p>
      <p id="d1e2111">Diurnal cycles of measured and simulated <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> have maximum values
at 320 and 370 ppt around 10:00 CDT, respectively, with a slow decline through
the rest of the day. Throughout the night, the mixing ratios were observed
and modeled to remain nearly constant. Around 10:00, when the highest total
organic nitrates are observed during SOAS, the simulated OH-initiated and
second-generation organic nitrate concentrations both reach their maximum.
Second-generation nitrates do not show sharp variability over day and night
because of their longer lifetime but they do slightly increase after sunrise
(around 07:00). OH-initiated organic nitrates that can remain in the residual
layer overnight contribute to the total organic nitrate during the morning.
At sunrise, when OH and NO begin to increase (Fig. S2 in the Supplement),
OH-initiated organic nitrates increase until they reach their maximum at
around 10:00. In contrast, <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated organic nitrates reach
their peak mixing ratio before sunrise, and, immediately after sunrise, they
decline sharply to a minimum concentration during the day. As the sun sets,
NO drops to near zero and <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production initiates the formation of
organic nitrates. OH- and <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated reactions occur out of phase
in the diurnal cycle, resulting in the relatively flat diurnal profile for
total organic nitrate throughout the night. Observations of individual
molecules are predicted to have more strongly varying diurnal cycles,
consistent with observations (Xiong et al., 2015).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Organic nitrate composition</title>
      <p id="d1e2164">The composition of the simulated organic nitrates by our model during SOAS at
the Centreville site is shown in Fig. 5a. Monoterpene nitrates are
calculated to be one-third of total organic nitrates, which is comparable to
the Browne et al. (2014)
calculation for boreal regions of North America. We define total
isoprene-derived nitrates in WRF-Chem as the sum of isoprene hydroxy
nitrates, isoprene carbonyl nitrates, MVK and MACR nitrates, isoprene
nitrooxy hydroperoxides, ethanal nitrate, propanone nitrate and
multifunctional isoprene nitrates. We find the contribution of the total
isoprene-derived nitrates to total organic nitrates to be 44 %. This is
consistent with the range of 25 %–50 % observed from SEAC4RS airborne
measurements taken onboard the NASA DC-8 in August–September 2013 over the
southeastern United States (Fisher
et al., 2016). However, it is in contrast to other recent modeling studies
over the southeastern United States by Mao et
al. (2013) and Xie et
al. (2013) that
suggested, respectively, more than 90 % and 60 % of total organic
nitrates are from isoprene oxidation. This discrepancy is likely due to the
simulated longer lifetime of these nitrates as well as omission of organic
nitrates produced from monoterpenes and anthropogenic VOCs in those models.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p id="d1e2169">The composition of the <bold>(a)</bold> simulated organic nitrates by
WRF-Chem using RACM2_Berkeley2 and <bold>(b)</bold> observed organic nitrates
during SOAS at CTR.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f05.png"/>

        </fig>

      <p id="d1e2184">The observed <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> composition during SOAS is shown in Fig. 5b. The
sums of the individual isomers of isoprene nitrates, terpene hydroxy nitrates
and terpene nitrooxy hydroperoxides were measured in the gas phase by chemical
ionization time-of-flight mass spectrometry using <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CF</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> reagent ion
(Crounse
et al., 2006; Schwantes et al., 2015; Teng et al., 2015), and ethyl and
isopropyl nitrates were measured by gas chromatography–mass spectrometry
(de Gouw et al., 2003). Similar to the model results, the largest<?pagebreak page15427?> contributions to the total
organic nitrates in the observations are isoprene oxidation products, which
represent 22 % against 44 % in the model. Carbonyl isoprene nitrates
including ICN, ETHLN and PROPNN as a fraction of total <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(8 % in the model and <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> % in the observations) and their
concentrations (Fig. S3a and b in the Supplement) are reproduced well by the
model. However, the model overestimates the fraction of <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> that
is isoprene hydroxy nitrates and MVKN <inline-formula><mml:math id="M170" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> MACRN (21 % modeled vs. 13 %
observed). Isoprene hydroxy nitrates from <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated chemistry
are a small portion of the total simulated isoprene hydroxy nitrates
(<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> %). The difference between the modeled and observed
contribution of isoprene hydroxy nitrates to total organic nitrates is thus
more likely a result of differences between the modeled and observed nitrates
that are products of OH-initiated chemistry. Insights from very recent
studies by Teng et
al. (2017) and Wennberg et
al. (2018) suggest a larger
<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">tertiary</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for OH-initiated isoprene hydroxy nitrates than the value we
calculated from MCM. That suggests a larger fraction of these nitrates is
subject to hydrolysis and thus it perhaps explains part of the discrepancy
between the model simulations and observations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e2289">The modeled and observed correlations between <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) and organic nitrate concentrations during
daytime at SOAS. The lines indicate linear regression (intercept fixed at 0)
and confidence intervals. The panel includes slopes of the lines and root
mean square errors (RMSE).</p></caption>
          <?xmltex \igopts{width=207.705118pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f06.png"/>

        </fig>

      <p id="d1e2331">The largest difference between the modeled and observed contribution of
isoprene nitrates to total organic nitrates is due to the modeled gas-phase
multifunctional isoprene nitrates and isoprene nitrooxy hydroperoxides.
Aerosol- and gas-phase second-generation multifunctional isoprene nitrates
and aerosol-phase isoprene nitrooxy hydroperoxides were not individually
measured during SOAS. Instead, total aerosol-phase organic nitrates were
measured by TD-LIF, using an activated charcoal denuder to remove gas-phase
organic nitrates and found to contribute around 40 % of total organic
nitrates at the SOAS CTR site (Fig. 5b). Ng et
al. (2008)
and Rollins et
al. (2009) found
isoprene oxidation can form 4 %–23 % nitrate aerosol yields and showed
multifunctional nitrates to be a dominant nitrate aerosol. If the isoprene
nitrooxy hydroperoxides are favored to partition to aerosol this would
explain the model-measurement discrepancy for the calculated contribution of
multifunctional isoprene nitrates and isoprene nitrooxy hydroperoxide. They
are simulated in the gas phase using RACM2_Berkeley2 but we
might interpret them as contributing to particle-phase organic nitrate. That
is consistent with the Lee et
al. (2016) finding from observations
of speciated particle organic nitrates during the SOAS campaign. They showed
particle isoprene nitrates have a dominant contribution from highly
functionalized isoprene nitrates containing between six and eight oxygen
atoms.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e2336">The modeled and observed correlations between <inline-formula><mml:math id="M176" 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> and
organic nitrates during daytime at SOAS. The slope shows the best-fit line,
with an intercept allowed to differ from zero to consider the possibility of
background <inline-formula><mml:math id="M177" 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>. The panel includes slopes of the lines and root
mean square errors (RMSE).</p></caption>
          <?xmltex \igopts{width=207.705118pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f07.png"/>

        </fig>

      <p id="d1e2371">Nitrate aerosol yields for monoterpene oxidation reactions from different
laboratory chamber experiments, field<?pagebreak page15428?> measurements and modeling studies have
been reported to be very high (up to 100 %)
(Russell
and Allen, 2005; Fry et al., 2009, 2011, 2013; Pye et al., 2015; Boyd et al.,
2015). Among monoterpene nitrates, <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated nitrates (Ayres
et al., 2015) and functionalized nitrates (Lee et al., 2016) have been shown
to be an especially significant fraction of the total particle organic
nitrate source at SOAS site. These findings imply that the remainder of the
measured particle organic nitrates can be attributed to mono- or
sesquiterpene-derived <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> including <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated
terpene hydroxy nitrates, terpene nitrooxy hydroperoxides and multifunctional
terpene nitrates, which are simulated and present in the gas phase in our
mechanism. If we interpret the aerosol nitrates to be these compounds, then
we find a rough correspondence between the model and observations (see
Fig. 5a and b). However, Li et
al. (2018) estimated a smaller contribution of gas-phase <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated monoterpene
nitrates to total <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due to a lower molar yield (10 % vs. 70 % for
high-reactivity monoterpenes and 10 % for low-reactivity monoterpenes in
this study). In contrast, due to other differences in the mechanism they
found a larger contribution of OH-initiated monoterpene nitrates to total
<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> than our finding in this study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p id="d1e2443">Diurnal cycle of fractional organic nitrate <bold>(a)</bold> production
and <bold>(b)</bold> concentrations simulated by WRF-Chem averaged over the
boundary layer at the CTR site during SOAS.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f08.pdf"/>

        </fig>

      <p id="d1e2459">In RACM2_Berkeley2, the contribution from organic nitrates of anthropogenic
origin is simulated to be 21 % of total <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (referred as
Other at Fig. 5a). That is higher than the 10 % inferred from the
observations of the measured anthropogenic organic nitrates at SOAS. Some
caution should be taken in the interpretation of such a comparison, as the
observations at SOAS do not represent the same species as the modeled ones
and include only ethyl and propyl nitrates (Fig. 5b). In RACM2_Berkeley2, a
wide range of the organic nitrates of anthropogenic origin
(<inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> nitrates) is categorized into four groups including
monofunctional saturated, multifunctional unsaturated, multifunctional
saturated and aromatic-derived nitrates that are partitioned from the lumped
precursors including alkanes, aromatics, alcohols and alkenes. However, the
remaining unspeciated measured <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> contributes 27 % of the
total organic nitrates observed by TD-LIF. One hypothesis to explain this
difference is that the rest of the simulated organic nitrates of
anthropogenic origin might be a portion of the unspecified measured
<inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Relationships between {$\protect\chem{RONO_{{2}}}$}, {$\protect\chem{O_{\mathit{x}}}$} and {$\protect\chem{CH_{{2}}O}$}}?><title>Relationships between <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M191" 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></title>
      <p id="d1e2556">During daytime, ozone and organic nitrates are produced in a common reaction
with branches that yield one or the other. Therefore, their observed and
modeled correlation provides an additional constraint on our understanding of
organic nitrates. The sum of <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is conserved on
longer timescales than <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> alone; accordingly we use
<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> in this analysis. As shown in Fig. 6, during
the daytime (from 08:00 to 18:00 local time) the modeled and observed
correlations between <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are nearly identical. A
linear fit to the observations yields a line with slope of <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">129</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> ppbv(<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) ppbv(<inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M201" 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 a fit to the model output yields
<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="normal">125</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> ppbv(<inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) ppbv(<inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M205" 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="d1e2736">This slope has typically been used to estimate the approximate branching
ratio of the entire VOC mixture (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) with an assumption that
photochemical production is rapid as compared to removal processes; <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is
inversely proportional to the <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> slope
(Perring et al., 2013). The quantified <inline-formula><mml:math id="M210" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>'s in the laboratory for BVOCs
are much higher than typical <inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>'s for anthropogenic VOCs (Perring et
al., 2013, and references therein). Therefore, for regions
like the southeastern United States where BVOCs dominate the VOC mixture, a much
lower slope than our calculated value is expected. We conclude that the
observed slope is reflecting the short lifetime of organic nitrates at SOAS.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p id="d1e2800">The simulated concentrations of first (blue) and second (red)
generation organic nitrates versus their loss rates during daytime at SOAS.
Slopes of the linear fit give their lifetimes. The concentrations and loss
rates of first-generation nitrates are divided by 2.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p id="d1e2812">Contribution of different fates to <bold>(a)</bold> the first and
<bold>(b)</bold> second generation of isoprene and monoterpene nitrates loss.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f10.pdf"/>

        </fig>

      <?pagebreak page15429?><p id="d1e2827">Formaldehyde (<inline-formula><mml:math id="M212" 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>) is another co-product to <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and, as
Perring et al. (2009b) discussed, the slope of the <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> correlation is related
to the ratio of the production of both species, as both have similar
lifetimes (Perring et
al., 2009b). We would expect the slope could provide a constraint on the
yield of isoprene nitrates, especially since in much of the domain isoprene
is the dominant source of both <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M216" 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>. Figure 7 shows
the correlation between observed <inline-formula><mml:math id="M217" 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> and <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during SOAS.
The slope of the best-fit line, with an intercept allowed to differ from zero
to consider the possibility of background <inline-formula><mml:math id="M219" 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> that mixes in from the
free troposphere, is found to be 0.116, consistent with previous estimates by
Perring et al. (2009b), who observed a slope of 0.119 during INTEX-NA (Intercontinental Chemical Transport
Experiment) in 2004. The slope would imply
an OH-initiated isoprene nitrate yield of 12 %
(Perring et
al., 2009b) if we use a lifetime of 1.7 h at SOAS for <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as
reported by Romer et
al. (2016).
This is nearly identical to the yield used in the mechanism described in this
manuscript. However, the correlation of modeled <inline-formula><mml:math id="M221" 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> and modeled total
<inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a smaller slope of 0.085. The discrepancy between the
slopes from the simulated and observed data can be attributed to model
overestimation of <inline-formula><mml:math id="M223" 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> (Fig. S4 in the Supplement). In Fig. S5, we also
provide additional model evaluation for isoprene and monoterpene
concentrations.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Organic nitrate formation</title>
      <p id="d1e2995">Figure 8a shows the diurnal cycle of fractional <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production
simulated using RACM2_Berkeley2 averaged over the boundary
layer at the CTR site during SOAS. During the day, production of organic
nitrates is dominated by reaction of isoprene with OH. This is consistent
with the OH reactivity (OHR) of individually measured compounds at SOAS which
was dominated by reaction with isoprene (Kaiser
et al., 2016; Romer et al., 2016). In contrast, the vast majority of
<inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production at night is of monoterpene nitrates, which are formed
as a result of <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation of nighttime monoterpene emissions.
<inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry of isoprene leading to isoprene nitrate formation is
also found to be significant during the nighttime. This fraction from
isoprene that accumulates in the boundary layer in late afternoons can reach
35 % of the total organic nitrates formed at night. In addition to
investigating the relative importance of instantaneous organic nitrate
production based on the VOC precursors, we calculate the fraction of isoprene
nitrates produced from <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry to the total isoprene nitrate
production (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">44</mml:mn></mml:mrow></mml:math></inline-formula> %, Fig. S5 in the Supplement) over day and
night of the entire modeling period confirming the relative importance of
this<?pagebreak page15430?> pathway for producing isoprene nitrates versus OH oxidation of isoprene.
This finding is consistent with the modeling result (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> %) from Xie et
al. (2013).</p>
      <p id="d1e3074">The fraction of anthropogenic VOC-derived organic nitrates to total
simulated production of organic nitrates is estimated to be negligible;
however their contribution to the simulated concentrations of organic
nitrates is much higher and reached up to 0.25 (Fig. 8b). This is due to
their relatively long lifetime (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> h lifetime to oxidation by
<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M233" 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> of OH at 298 K and a similarly long
lifetime to deposition – Henry's law constant of <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> Matm<inline-formula><mml:math id="M235" 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>; Browne et al., 2014, and references therein)
that causes them to persist longer in the atmosphere. Similarly, the fraction
of second-generation nitrates formed from oxidation of first-generation
isoprene and monoterpene nitrates (Fig. 8a) is predicted to be
<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula>, which is much less than the calculated contribution of their
concentrations to total organic nitrate concentrations (<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>)
(Fig. 8b). In the next subsection we will discuss more about the loss
processes and lifetime of these organic nitrates.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <title>Organic nitrate lifetime</title>
      <p id="d1e3163">We define the lifetime of organic nitrates as the concentration of
<inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> divided by the combined loss rate via all proposed loss
mechanisms. The loss mechanisms include chemical loss processes (oxidation,
photolysis and hydrolysis of <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and deposition. The nighttime
lifetime of organic nitrates might be longer than the daytime value (and
might be similar to or longer than the length of a single night). Because of
uncertainties associated with simulation of the boundary layer height and
organic nitrate concentrations at nighttime, we focus on the daytime lifetime
as a guide for thinking about the organic nitrate fate. Figure 9 shows the
estimated daytime lifetime of 2 h for first-generation biogenic organic
nitrates and a longer lifetime for the second-generation organic nitrates
(3.2 h). Including organic nitrates from anthropogenic sources we estimate a
fairly short overall lifetime of 2.6 h for total <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. This short
lifetime results in less efficient transport of organic nitrates to the free
troposphere and over large distances from sources. Using the SOAS field
observations, Romer et al. (2016) suggested <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula> h for the atmospheric
lifetime of <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. They calculated the lifetime by the assumption
that <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are near steady state in the afternoon. If we constrain
our calculation to 12:00–16:00 and give an intercept of 40 ppt as Romer et
al. (2016) did, the overall estimated lifetime in the model is estimated to
be 2.9 h, but using the production rates of organic nitrates instead of the
loss rates (by assumption of the atmospheric steady state condition applied
in Romer et al., 2016) our result remarkably shows very good agreement with
their finding (identical value, Fig. S6 in the Supplement). GEOS-Chem
simulations by Fisher et al. (2016) reported a similar short lifetime by
assuming a hydrolysis lifetime of 1 h for all tertiary and
non-tertiary nitrates and not including the longer-lived small alkyl
nitrates. However, Li et al. (2018) estimated much longer lifetimes for
individual nitrates except ISOPNB, which they assumed to be hydrolyzed.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p id="d1e3234">The simulated instantaneous production of <inline-formula><mml:math id="M244" 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> from
loss of organic nitrates versus the instantaneous loss of
<inline-formula><mml:math id="M245" 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> to production of organic nitrates. The slope shows the
<inline-formula><mml:math id="M246" 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> recycling efficiency.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/15419/2018/acp-18-15419-2018-f11.png"/>

        </fig>

      <p id="d1e3276">Accurate determination of the lifetime of organic nitrates is a major
challenge for assessing the influence of organic nitrates on atmospheric
chemistry. However, the estimated lifetime of <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> h for
organic nitrates found here, as well as in other studies over the southeastern
United States
(Perring
et al., 2009b; Romer et al., 2016; Fisher et al., 2016), is less than the
range of <inline-formula><mml:math id="M248" 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> lifetimes (5.5–11 h) calculated by
observational studies (e.g.,
Valin et al., 2013; Romer et al., 2016). Organic nitrates should therefore
generally be categorized as short-lived <inline-formula><mml:math id="M249" 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> reservoirs,
which remove <inline-formula><mml:math id="M250" 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> in a plume, but act as a source of
<inline-formula><mml:math id="M251" 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> in remote regions.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <?xmltex \opttitle{{$\protect\chem{NO_{\mathit{x}}}$} recycling efficiency}?><title><inline-formula><mml:math id="M252" 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> recycling efficiency</title>
      <p id="d1e3350">To determine the fraction of <inline-formula><mml:math id="M253" 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> converted to
<inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and then released back to the gas phase as
<inline-formula><mml:math id="M255" 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>, the relative importance of different loss pathways of
organic nitrates must be known. Oxidation and photolysis of organic nitrates
recycle <inline-formula><mml:math id="M256" 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> but hydrolysis and deposition cause permanent
removal of <inline-formula><mml:math id="M257" 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> from the atmosphere. Recent field studies
suggested that isoprene nitrates are removed quickly by dry deposition
(Nguyen et al., 2015) and
some have concluded that deposition is the primary sink of nitrates (Rosen
et al., 2004; Horii et al., 2006; Horowitz et al., 2007), while others
estimated that oxidation or ozonolysis is the dominant loss mechanism of
isoprene nitrates (Shepson
et al., 1996; Ito et al., 2007; Perring et al., 2009a; Browne et al., 2013).
Similar uncertainty for the fate and dominant loss processes of monoterpene
nitrates was found by Browne et
al. (2014).<?pagebreak page15431?> Here, we update
possible fates of organic nitrates in WRF-Chem from recent findings including
photolysis (Müller et al., 2014),
oxidation and ozonolysis
(Lee et al., 2014),
deposition (Nguyen et
al., 2015) and hydrolysis
(Boyd
et al., 2015) and then estimate the contribution of different fates to first-
and second-generation isoprene and monoterpene nitrates (Fig. 10a and b). We
note that our calculation represents the loss of the nitrate functionality
and does not include the fraction of loss processes of first-generation
organic nitrates by oxidation and ozonolysis that retain the nitrate
functionality by forming second-generation organic nitrates.</p>
      <p id="d1e3408">Figure 10b shows that the loss of second-generation organic nitrates is
dominated by deposition (60 %), causing permanent loss of
<inline-formula><mml:math id="M258" 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>. That is due to the assumed rapid depositional loss of
second-generation monoterpene nitrates (deposited as fast as <inline-formula><mml:math id="M259" 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 this study following Browne et
al. (2014). Fractional
contributions of photolysis (<inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> %) and oxidation
(<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> %) are not negligible and are much larger than those
estimated by Browne et al. (2014),
which is a consequence of using the rapid photolysis rates of PROPNN and
ETHLN as second-generation isoprene nitrates
(Müller et al., 2014). In contrast,
the loss of first-generation nitrates occurs largely by the sum of chemical
mechanisms that recycle <inline-formula><mml:math id="M262" 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> to the atmosphere: reaction with
ozone (24 %), OH (11 %) and photolysis (20 %), with additional
loss by deposition (15 %) and hydrolysis (<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">29</mml:mn></mml:mrow></mml:math></inline-formula> %).
Fisher et
al. (2016)
predicted much larger losses of <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by aerosol hydrolysis
(<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> % of total nitrate losses), reflecting the short
lifetime of nitrates with respect to hydrolysis applied in their study for
all nitrates. However, with our representation of hydrolysis of nitrates in
aqueous solutions (slower rate and only tertiary nitrates), hydrolysis is
still important (the calculated loss rate for nitrates is <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>
to 11 pptv h<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), accounting for one-third of the organic nitrate loss
and leading to a large increase in <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production in the
atmosphere. Assessing the impact of hydrolysis of nitrates on the budget of
nitric acid is beyond the scope of this work. We note that the relative
contribution of nitrate hydrolysis in aqueous solutions differs widely for
individual <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species due to their different structures.</p>
      <p id="d1e3541">Including loss of <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from anthropogenic sources, we find that
loss of overall <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via hydrolysis with an additional
contribution from deposition becomes comparable to loss via other processes
that return <inline-formula><mml:math id="M272" 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> to the atmosphere. Figure 11 shows the
<inline-formula><mml:math id="M273" 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> recycling efficiency, defined as the ratio between the
instantaneous production of <inline-formula><mml:math id="M274" 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> from loss of organic
nitrates and the instantaneous loss of <inline-formula><mml:math id="M275" 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> to production of
organic nitrates. Since chemical degradation of nitric acid is much slower
than deposition, the slope of 0.52 is interpreted as the fraction of the
sequestered <inline-formula><mml:math id="M276" 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> that can be exported away from its emission
region and released downwind through organic nitrate chemistry. Our finding
is consistent with a recycling of about half of isoprene nitrates to
<inline-formula><mml:math id="M277" 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> calculated by Paulot et al. (2009a) and Horowitz
et al. (2007). Of this total, we
calculated <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula> % of <inline-formula><mml:math id="M279" 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> cycled back
relatively quickly while first-generation nitrates are oxidizing and
producing second-generation nitrates.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e3661">The lifetimes of organic nitrates with respect to hydrolysis, oxidation and
deposition play an important role in the <inline-formula><mml:math id="M280" 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> budget and
formation of <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and secondary organic aerosols. Analyses from
recent field studies in the southeastern United States found a lifetime of
<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>–3 h for organic nitrates. By incorporating new findings
from recent laboratory, field and modeling studies into a gas-phase mechanism
we provide a state-of-the-science representation of expanded organic nitrates
in the WRF-Chem model. Using the updated model we are able to reproduce a
short organic nitrate lifetime (2.6 h), similar to that observed during SOAS.</p>
      <p id="d1e3696">After adding hydrolysis as a possible fate of tertiary gas-phase biogenic
organic nitrates in our mechanism and in combination with all other loss
mechanisms, we find that the lifetime of second-generation organic nitrates is
longer that the lifetime of first-generation nitrates. We find dry deposition
is the dominant loss process for second-generation organic nitrates and
chemical mechanisms of ozonolysis, photolysis and oxidation that can recycle
<inline-formula><mml:math id="M283" 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> to the atmosphere have a more important role in loss of
first-generation organic nitrates from the atmosphere. The contribution of
tertiary nitrate hydrolysis to total organic nitrate removal from the
atmosphere is found to be 30 %. We find, therefore, that 52 % of the
<inline-formula><mml:math id="M284" 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> sequestered by production of organic nitrates can be
cycled back to the atmosphere.</p>
      <p id="d1e3721">To accurately estimate organic nitrate lifetime, the production, loss and
fate of these compounds must be well constrained. Evaluation of our updated
mechanism using SOAS observations in summer 2013 indicates the model
represents much of the important chemistry governing organic nitrates. We
show that the simulated concentrations of total organic nitrates,
correlations with <inline-formula><mml:math id="M285" 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> and ozone, and the contribution of individual
<inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to total organic nitrates are in fairly good agreement with
observations at the SOAS CTR ground site. We find the largest difference
between the modeled and observed contributions of individual organic nitrate
compounds to total <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is for highly functionalized isoprene
nitrates and monoterpene nitrates. We attribute this difference to possible
high aerosol yields of these organic nitrate species, which are represented
in the gas phase in our mechanism. Future analysis for developing a complete
representation of organic nitrate chemistry including an organic nitrate
aerosol formation mechanism, either from aqueous-phase uptake or
vapor-pressure partitioning onto preexisting organic aerosol, in addition to
the detailed gas-phase mechanism described here will benefit the model
approximation.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e3765">Measurements from the SOAS campaign are available at
<uri>https://esrl.noaa.gov/csd/groups/csd7/measurements/2013senex/Ground/DataDownload</uri> (SOAS Science Team, 2013).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3771">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-18-15419-2018-supplement" xlink:title="zip">https://doi.org/10.5194/acp-18-15419-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e3780">AZ and RC designed the study. AZ carried out the simulations
and performed the data analysis. PSR, TN, KS and FNK
contributed their insights on the field measurements. AZ wrote the manuscript
with feedback from all co-authors. RC supervised the project.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e3786">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3792">We gratefully acknowledge support from NSF grants AGS-1352972, AGS-1247421
and AGS-1628530; NOAA Office of Global Programs grant NA13OAR4310067; and NASA
grant NNX 15AE37G. We thank Allen Goldstein and Pawel Konrad Misztal for
PTRTOFMS VOC data and William Brune for OH data. We also thank the SOAS field
campaign team including Ann Marie Carlton.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: James Roberts<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>A comprehensive organic nitrate chemistry: insights into the lifetime of atmospheric organic nitrates</article-title-html>
<abstract-html><p>Organic nitrate chemistry is the primary control over the lifetime of
nitrogen oxides (NO<sub><i>x</i></sub>) in rural and remote continental
locations. As NO<sub><i>x</i></sub> emissions decrease, organic nitrate
chemistry becomes increasingly important to urban air quality. However, the
lifetime of individual organic nitrates and the reactions that lead to their
production and removal remain relatively poorly constrained, causing organic
nitrates to be poorly represented by models. Guided by recent laboratory and
field studies, we developed a detailed gas-phase chemical mechanism
representing most of the important individual organic nitrates. We use this
mechanism within the Weather Research and Forecasting (WRF) model coupled
with Chemistry (WRF-Chem) to describe
the role of organic nitrates in nitrogen oxide chemistry and in comparisons
to observations. We find the daytime lifetime of total organic nitrates with
respect to all loss mechanisms to be 2.6&thinsp;h in the model. This is consistent
with analyses of observations at a rural site in central Alabama during the
Southern Oxidant and Aerosol Study (SOAS) in summer 2013. The lifetime of the
first-generation organic nitrates is  ∼ 2&thinsp;h versus the 3.2&thinsp;h lifetime
of secondary nitrates produced by oxidation of the first-generation nitrates.
The different generations are subject to different losses, with dry
deposition to the surface being the dominant loss process for the
second-generation organic nitrates and chemical loss being dominant for the
first-generation organic nitrates. Removal by hydrolysis
is found to be responsible for the loss of  ∼ 30&thinsp;&thinsp;% of the total
organic nitrate pool.</p></abstract-html>
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