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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"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-18-11663-2018</article-id><title-group><article-title>Secondary organic aerosol (SOA) yields from <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical <inline-formula><mml:math id="M2" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <?xmltex \hack{\break}?>isoprene
based on nighttime aircraft power plant plume transects</article-title><alt-title>SOA yields from <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical <inline-formula><mml:math id="M4" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene</alt-title>
      </title-group><?xmltex \runningtitle{SOA yields from {$\chem{NO_{3}}$} radical\,$+$\,isoprene}?><?xmltex \runningauthor{J.~L. Fry et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Fry</surname><given-names>Juliane L.</given-names></name>
          <email>fry@reed.edu</email>
        <ext-link>https://orcid.org/0000-0003-1799-5828</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Brown</surname><given-names>Steven S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Middlebrook</surname><given-names>Ann M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2984-6304</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff4">
          <name><surname>Edwards</surname><given-names>Peter M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1076-6793</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>Campuzano-Jost</surname><given-names>Pedro</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3930-010X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>Day</surname><given-names>Douglas A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3213-4233</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>Jimenez</surname><given-names>José L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6203-1847</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Allen</surname><given-names>Hannah M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ryerson</surname><given-names>Thomas B.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff7">
          <name><surname>Pollack</surname><given-names>Ilana</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff8">
          <name><surname>Graus</surname><given-names>Martin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Warneke</surname><given-names>Carsten</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>de Gouw</surname><given-names>Joost A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0385-1826</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Brock</surname><given-names>Charles A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Gilman</surname><given-names>Jessica</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff9">
          <name><surname>Lerner</surname><given-names>Brian M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Dubé</surname><given-names>William P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff10">
          <name><surname>Liao</surname><given-names>Jin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff11">
          <name><surname>Welti</surname><given-names>André</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3549-1212</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Chemistry Department, Reed College, Portland, OR, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Chemical Sciences Division, Earth System Research Laboratory, National Oceanic and Atmospheric Administration, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Chemistry, Wolfson Atmospheric Chemistry Laboratories, University of York, York, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Chemistry, University of Colorado, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA, USA</institution>
        </aff>
        <aff id="aff7"><label>a</label><institution>now at: Department of Atmospheric Science, Colorado State University, Fort Collins, CO, USA</institution>
        </aff>
        <aff id="aff8"><label>b</label><institution>now at: Department of Atmospheric and Cryospheric Sciences, University of Innsbruck, Innsbruck, Austria</institution>
        </aff>
        <aff id="aff9"><label>c</label><institution>now at: Aerodyne Research, Inc., Billerica, MA, USA</institution>
        </aff>
        <aff id="aff10"><label>d</label><institution>now at: Universities Space Research Association, Columbia, MD, USA and NASA Goddard Space Flight Center, Atmospheric Chemistry and Dynamic
Laboratory, Greenbelt, MD, USA</institution>
        </aff>
        <aff id="aff11"><label>e</label><institution>now at: Leibniz Institute for Tropospheric Research, Department of Physics, Leipzig, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Juliane L. Fry  (fry@reed.edu)</corresp></author-notes><pub-date><day>16</day><month>August</month><year>2018</year></pub-date>
      
      <volume>18</volume>
      <issue>16</issue>
      <fpage>11663</fpage><lpage>11682</lpage>
      <history>
        <date date-type="received"><day>9</day><month>March</month><year>2018</year></date>
           <date date-type="rev-request"><day>21</day><month>March</month><year>2018</year></date>
           <date date-type="rev-recd"><day>31</day><month>July</month><year>2018</year></date>
           <date date-type="accepted"><day>1</day><month>August</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/18/11663/2018/acp-18-11663-2018.html">This article is available from https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018.pdf</self-uri>
      <abstract>
    <p id="d1e353">Nighttime reaction of nitrate radicals (<inline-formula><mml:math id="M5" 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 biogenic volatile
organic compounds (BVOC) has been proposed as a potentially important but
also highly uncertain source of secondary organic aerosol (SOA). The
southeastern United States has both high BVOC and nitrogen oxide
(<inline-formula><mml:math id="M6" 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, resulting in a large model-predicted
<inline-formula><mml:math id="M7" 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>-BVOC source of SOA. Coal-fired power plants in this region
constitute substantial <inline-formula><mml:math id="M8" 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 point sources into a
nighttime atmosphere characterized by high regionally widespread
concentrations of isoprene. In this paper, we exploit nighttime aircraft
observations of these power plant plumes, in which <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">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radicals
rapidly remove isoprene, to obtain field-based estimates of the secondary
organic aerosol yield from <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> <inline-formula><mml:math id="M11" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene. Observed in-plume
increases in nitrate aerosol are consistent with organic nitrate aerosol
production from <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M13" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene, and these are used to determine
molar SOA yields, for which the average over nine plumes is 9 % (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %). Corresponding mass yields depend on the assumed molecular formula
for isoprene-<inline-formula><mml:math id="M15" 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>-SOA, but the average over nine plumes is 27 %
(<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula> %), on average larger than those previously measured in chamber
studies (12 %–14 % mass yield as <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA <inline-formula><mml:math id="M18" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>VOC after
oxidation of both double bonds). Yields are larger for longer plume ages.
This suggests that ambient aging processes lead more effectively to
condensable material than typical chamber conditions allow. We discuss
potential mechanistic explanations for this difference, including longer
ambient peroxy radical lifetimes and heterogeneous reactions of
<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>-isoprene gas phase products. More in-depth studies are needed to
better understand the aerosol yield and oxidation mechanism of <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
radical <inline-formula><mml:math id="M22" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene, a coupled anthropogenic–biogenic source of SOA that
may be regionally significant.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<?pagebreak page11664?><sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e540">Organic aerosol (OA) is increasingly recognized as a globally important
component of the fine particulate matter that exerts a large but uncertain
negative radiative forcing on Earth's climate (Myhre et al., 2013) and
adversely affects human health around the world (Lelieveld et al., 2015).
This global importance is complicated by large regional differences in OA
concentrations relative to other sources of aerosol such as black carbon,
sulfate, nitrate and sea salt. OA comprises 20 %–50 % of total fine
aerosol mass at continental mid-latitudes, but more in urban environments and
biomass burning plumes, and up to 90 % over tropical forests (Kanakidou
et al., 2005; Zhang et al., 2007). Outside of urban centers and fresh biomass
burning plumes, the majority of this OA is secondary organic aerosol (SOA)
(Jimenez et al., 2009), produced by oxidation of directly emitted volatile
organic compounds followed by partitioning into the aerosol phase. Forests
are strong biogenic VOC emitters, in the form of isoprene
(<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), monoterpenes (<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and
sesquiterpenes (<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">24</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), all of which are readily oxidized by
the three major atmospheric oxidants, OH, <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The
total global source of biogenic SOA from such reactions remains highly
uncertain, with a view estimating it at <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> TgC yr<inline-formula><mml:math id="M30" 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>
(Hallquist et al., 2009), a large fraction of which may be anthropogenically
controlled (Spracklen et al., 2011; Goldstein et al., 2009; Carlton et al.,
2010; Hoyle et al., 2011). As most <inline-formula><mml:math id="M31" 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> arises from anthropogenic
emissions, OA production from <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene is one mechanism
that could allow for the anthropogenic control of biogenic SOA mass loading.</p>
      <p id="d1e672">Isoprene constitutes nearly half of all global VOC emissions to the
atmosphere, with a flux of <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> Tg yr<inline-formula><mml:math id="M35" 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>  (Guenther et al., 2006). As a result, accurate global
biogenic SOA budgets depend strongly on yields from isoprene oxidation.
Recent global modeling efforts find that isoprene SOA is produced at rates
from 14  (Henze and Seinfeld, 2006; Hoyle et al., 2007) to
19 TgC yr<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(Heald et al., 2008), which implies that it could
constitute 27 %  (Hoyle et al., 2007), 48 %  (Henze
and Seinfeld, 2006) or up to 78 % (Heald et al., 2008)
of total SOA (based also on varying estimates of total SOA burden in each
study). More recent observational constraints on SOA yield from isoprene
find complex temperature-dependent mechanisms that could affect vertical
distributions  (Worton et al., 2013) and suggest that isoprene SOA
constitutes from 17 %  (Hu et al., 2015) to 40 % (Kim et al.,
2015) and up to 48 %  (Marais
et al., 2016) of total OA in the southeastern United States (SEUS). This large
significance comes despite isoprene's low SOA mass yields, two recent
observational studies estimated the total isoprene SOA mass yield to be
<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> %  (Marais et al., 2016; Kim et al., 2015), and
modeling studies typically estimate isoprene SOA yields to be 4 % to 10 %,
depending on the oxidant, in contrast to monoterpenes' yields of 10 % to
20 % and sesquiterpenes' yields of &gt; 40 % (Pye et al.,
2010). Furthermore, laboratory studies of SOA mass yields may have a
tendency to underestimate these yields, if they cannot access the longer
timescales of later-generation chemistry, or are otherwise run under
conditions that limit oxidative aging of first-generation products
(Carlton et al., 2009).</p>
      <p id="d1e721">Laboratory chamber studies of SOA mass yield at OA loadings of
<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M40" 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> from isoprene have typically found low
yields from <inline-formula><mml:math id="M41" 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> (1 %  Kleindienst et al., 2007) and OH
(2 % at low <inline-formula><mml:math id="M42" 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 5 % at high <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>
Kroll et al., 2006; Dommen et al., 2009; 1.3 % at low
<inline-formula><mml:math id="M44" 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 neutral seed aerosol pH but rising to 29 % in
the presence of acidic sulfate seed aerosol due to reactive uptake of
epoxydiols of isoprene IEPOX Surratt et al.,
2010). One recent chamber study on OH-initiated isoprene SOA formation
focused on the fate of second-generation <inline-formula><mml:math id="M45" 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> radical found
significantly higher yields, up to 15 % at low <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>
(Liu et al., 2016), suggesting that omitting
later-generation oxidation chemistry could be an important limitation of
early chamber determinations of isoprene SOA yields. Another found an
increase in SOA formed with increasing <inline-formula><mml:math id="M47" 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 <inline-formula><mml:math id="M48" 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> ratios,
suggesting that <inline-formula><mml:math id="M49" 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> fate could also play a role in the variability of
previously reported SOA yields  (D'Ambro et al., 2017).</p>
      <p id="d1e855">For <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation of isoprene, early chamber experiments already
pointed to higher yields (e.g., 12 % Ng et al., 2008) than for OH
oxidation. Ng et al. (2008)
also observed chemical regime differences: SOA yields were approximately two
times larger when chamber conditions were tuned such that first-generation
peroxy radical fate was <inline-formula><mml:math id="M51" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominated than when it was
<inline-formula><mml:math id="M52" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominated. In addition, Rollins et al. (2009) observed a
significantly higher SOA yield (14 %) from second-generation <inline-formula><mml:math id="M53" 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 than that when only one double bond was oxidized (0.7 %). This
points to the possibility that later-generation, <inline-formula><mml:math id="M54" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
dominated isoprene <inline-formula><mml:math id="M55" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M56" 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 may be an even more substantial
source of SOA than what current chamber studies have captured. Schwantes et
al. (2015) investigated the gas-phase
products of <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M58" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene in the <inline-formula><mml:math id="M59" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominated regime
and found the major product to be isoprene nitrooxy hydroperoxide (INP,
75 %–78 % molar yield), which can photochemically convert to isoprene
nitrooxy hydroxyepoxide (INHE), a molecule that might contribute to SOA
formation via heterogeneous uptake similar to IEPOX. Here again, multiple
generations of chemistry are required to produce products that may contribute
to SOA.</p>
      <?pagebreak page11665?><p id="d1e990">As the SOA yield appears to be highest for <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical
oxidation, and isoprene is such an abundantly emitted BVOC, oxidation of
isoprene by <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may be an important source of OA in areas with
regional <inline-formula><mml:math id="M62" 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> pollution. As the SOA yield with neutral
aerosol seed appears to be an order of magnitude larger than that from other
oxidants, even if only 10 % of isoprene is oxidized by <inline-formula><mml:math id="M63" 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>, it
will produce comparable SOA to daytime photo-oxidation. For example, Brown et
al. (2009)
concluded that <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> contributed more SOA from isoprene than OH over
New England, where &gt; 20 % of isoprene emitted during the
previous day was available at sunset to undergo dark oxidation by either
<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> or <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The corresponding contribution to total SOA mass
loading was 1 %–17 % based on laboratory yields  (Ng et al., 2017).
Rollins et al. (2012) concluded
that multi-generational <inline-formula><mml:math id="M67" 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 biogenic precursors was
responsible for one-third of nighttime organic aerosol increases during the
CalNex-2010 experiment in Bakersfield, CA. In an aircraft study near Houston,
TX, Brown et al. (2013) observed elevated organic aerosol in the nighttime boundary layer, and
correlated vertical profiles of organic and nitrate aerosol in regions with
rapid surface level <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical production and BVOC emissions. From
these observations, the authors estimated an SOA source from <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BVOCs
within the nocturnal boundary layer of 0.05–1 <inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M72" 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> h<inline-formula><mml:math id="M73" 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>.
Carlton et al. (2009) note the large
scatter in chamber-measured SOA yields from isoprene photooxidation and point
throughout their review of SOA formation from isoprene to the likely
importance of poorly understood later generations of chemistry in explaining
field observations. We suggest that similar differences in multi-generational
chemistry could explain the variation among the (sparse) chamber and field
observations of <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M75" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene yields described in the previous
paragraph, and summarized in a recent review of <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M77" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BVOC oxidation
mechanisms and SOA formation  (Ng et al., 2017).</p>
      <p id="d1e1180">The initial products of <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M79" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene include organic nitrates, some of
which will partially partition to the aerosol phase. Organic nitrates in the
particle phase (<inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are challenging to quantify with online methods,
due to both interferences and their often overall low concentrations in
ambient aerosol. Hence, field datasets to constrain modeled <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are
sparse  (Ng et al., 2017; Fisher et al., 2016). One of the most used methods
in recent studies, used also here, is quantification with the Aerodyne
Aerosol Mass Spectrometer (AMS). Organic nitrates thermally decompose in the
AMS vaporizer and different approaches have been used to apportion the
organic fraction contributing to the total nitrate signal. Allan et al. (2004a)
first proposed the use of nitrate peaks at <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30 and 46 to distinguish various nitrate species with the AMS.
Marcolli et al. (2006), in the first reported tentative assignment of aerosol organic nitrate
using AMS data, used cluster analysis to analyze data from the 2002 New
England Air Quality Study. In that study, cluster analysis identified two
categories with high <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30 contributions. One of these peaked in the
morning when <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> was abundant and was more prevalent in
plumes with the lowest photochemical ages, potentially from isoprene oxidation
products. The second was observed throughout the diurnal cycle in both fresh
and aged plumes, and contained substantial <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 contribution (highly
oxidized OA). A subsequent AMS laboratory and field study discussed and
further developed methods for separate quantification of organic nitrate (in
contrast to inorganic nitrate)  (Farmer et al., 2010). A
refined version of one of these separation methods, based on the differing
<inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M87" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> fragmentation ratio for organic vs. inorganic nitrate,
was later employed to quantify organic nitrate aerosol at two forested rural
field sites where strong biogenic VOC emissions and relatively low
<inline-formula><mml:math id="M89" 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>
combined to make substantial organic nitrate aerosol concentrations (Fry
et al., 2013; Ayres et al., 2015). Most recently, Kiendler-Scharr et al. (2016)
used a variant of this method to conclude
that across Europe, organic nitrates comprise <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % of
submicron organic aerosol. Modeling analysis concluded that a substantial
fraction of this organic nitrate aerosol is produced via <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> radical
initiated chemistry. Chamber studies have employed this fragmentation ratio
method to quantify organic nitrates  (Boyd et al., 2015; Bruns et al.,
2010; Fry et al., 2009, 2011; Rollins et al., 2009), providing the
beginnings of a database of typical organonitrate fragmentation ratios from
various BVOC precursors.</p>
      <p id="d1e1336">Measurements conducted at the SOAS ground site in Centreville, Alabama in
2013 found evidence of significant organonitrate contribution to SOA mass
loading. Xu et al. (2015) reported that organic nitrates constituted 5 %
to 12 % of total organic aerosol mass from AMS data applying a variant of
the <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio method. They identify a
nighttime-peaking “LO-OOA” AMS factor, which they attribute to mostly
<inline-formula><mml:math id="M95" 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 BVOC (in addition to <inline-formula><mml:math id="M96" 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="M97" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BVOC). They
estimated that the <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical oxidizes 17 % of isoprene,
20 % of <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, and 38 % of <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene in the
nocturnal boundary layer at this site. However, applying laboratory-based SOA
yields to model the predicted increase in OA, Xu et al. (2015) predict only
0.7 <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M102" 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 SOA would be produced, substantially lower than
the measured nighttime LO-OOA production of 1.7 <inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M104" 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>. The
more recent analysis of Zhang et al. (2018) found a strong correlation of
monoterpene SOA with the fraction of monoterpene oxidation attributed to
<inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, even for non-nitrate containing aerosol, suggesting an influence
of <inline-formula><mml:math id="M106" 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> even in pathways that ultimately eliminate the nitrate
functionality from the SOA, such as hydrolysis or <inline-formula><mml:math id="M107" 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> regeneration.
Ayres et al. (2015) used a correlation of overnight organonitrate aerosol
buildup with calculated net <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M109" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> monoterpene and isoprene
reactions to estimate an overall <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M111" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> monoterpene SOA mass yield
of 40 %–80 %. The factor of two range in this analysis was based on
two different measurements of aerosol-phase organic nitrates. These authors
used similar correlations to identify specific CIMS-derived molecular
formulae that are likely to be <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> radical chemistry products of
isoprene and monoterpenes, and found minimal contribution of identified
first-generation <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M114" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene products to the aerosol phase (as
expected based on their volatility). Lee et al. (2016) detected abundant
highly functionalized particle-phase organic nitrates at the same site, with
apparent origin both from isoprene and monoterpenes, and both daytime and
nighttime oxidation, and estimated their average contribution to submicron
organic aerosol mass to be between 3 %–8 %. For the same ground
campaign, Romer et al. (2016) found evidence of rapid conversion from alkyl
nitrates to <inline-formula><mml:math id="M115" 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>, with total alkyl nitrates having an average daytime
lifetime of 1.7 h.</p>
      <?pagebreak page11666?><p id="d1e1575">Xie et al. (2013) used a model
constrained by observed alkyl nitrate correlations with <inline-formula><mml:math id="M116" 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> from the
INTEX-NA/ICARTT 2004 field campaign to determine a range of isoprene nitrate
lifetimes between 4 and 6 h, with 40 %–50 % of isoprene nitrates formed
by <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reactions. Laboratory studies show that not all
organic nitrates hydrolyze to <inline-formula><mml:math id="M119" 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> equally rapidly: primary and
secondary organic nitrates were found to be less prone to aqueous hydrolysis
than tertiary organic nitrates  (Darer et al., 2011; Hu et al., 2011; Fisher
et al., 2016; Boyd et al., 2015). This suggests that field-based estimates of
the contribution of organic nitrates to SOA formation could be a lower limit,
if they are based on measurement of those aerosol-phase nitrates. This is
because if hydrolysis is rapid, releasing <inline-formula><mml:math id="M120" 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> but leaving behind the
organic fraction in the aerosol phase, then that organic mass would not be
accurately accounted for as arising from nitrate chemistry. This was
addressed in a recent modeling study of SOAS  (Pye
et al., 2015) in which modeled hydrolysis products of particulate organic
nitrates of up to 0.8 <inline-formula><mml:math id="M121" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M122" 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> additional aerosol mass loading in the
southeastern U.S. were included in the estimate of change in OA due to changes
in <inline-formula><mml:math id="M123" 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>. Another recent GEOS-Chem modeling study using
gas- and particle-phase organic nitrates observed during the SEAC<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS and
SOAS campaigns similarly found <inline-formula><mml:math id="M125" 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 be a major sink of
<inline-formula><mml:math id="M126" 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> across the SEUS region (Fisher et al., 2016; Lee et
al., 2016).</p>
      <p id="d1e1691">Complementing these SOAS ground site measurements, the NOAA-led SENEX
(Southeast Nexus) aircraft campaign conducted 18 research flights focused in
part on studying the interactions between biogenic and anthropogenic
emissions that formed secondary pollutants between 3 June and 10 July 2013
(Warneke et al., 2016). Flight instrumentation focused on measurement of
aerosol precursors and composition enable the present investigation of SOA
yields using this aircraft data set. Edwards et al. (2017)
used data from the SENEX night flights to evaluate the nighttime oxidation of
BVOC, observing high nighttime isoprene mixing ratios in the residual layer
that can undergo rapid <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> oxidation when sufficient
<inline-formula><mml:math id="M128" 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 present. These authors suggest that past
<inline-formula><mml:math id="M129" 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> reductions may have been uncoupled from OA trends due to
<inline-formula><mml:math id="M130" 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> not having been the limiting chemical species for OA
production, but that future reductions in <inline-formula><mml:math id="M131" 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> may decrease
OA if <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> oxidation of BVOC is a substantial regional SOA source.
As isoprene is ubiquitous in the nighttime residual layer over the
southeastern United States and the <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reaction is rapid,
<inline-formula><mml:math id="M135" 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 will be dominant relative to <inline-formula><mml:math id="M136" 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> in places with
anthropogenic inputs of <inline-formula><mml:math id="M137" 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> (Edwards et al., 2017
conclude that when <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">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M139" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> BVOC &gt; 0.5, <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation
will be dominant). Hence, a modest <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M142" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene SOA yield may
constitute a regionally important OA source.</p>
      <p id="d1e1860">Several modeling studies have investigated the effects of changing
<inline-formula><mml:math id="M143" 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> on global and SEUS SOA. Hoyle et al. (2007) found an increase
in global SOA production from 35
to 53 Tg yr<inline-formula><mml:math id="M144" 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> since preindustrial times, resulting in an increase in
global annual mean SOA mass loading of 51 %, attributable in part to
changing <inline-formula><mml:math id="M145" 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. Zheng et al. (2015) found only moderate SOA
reductions from a 50 % reduction in NO emissions: 0.9 %–5.6 % for
global <inline-formula><mml:math id="M146" 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 6.4 %–12.0 % for southeastern US
<inline-formula><mml:math id="M147" 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>, which they attributed to buffering by alternate
chemical pathways and offsetting tendencies in the biogenic vs. anthropogenic
SOA components. In contrast, Pye et al. (2015) find a 9 % reduction in total organic aerosol in Centreville,
AL for only 25 % reduction in <inline-formula><mml:math id="M148" 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. A simple
limiting-reagent analysis of <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M150" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> monoterpene SOA from power plant
plumes across the United States found that between 2008 and 2011, based on
EPA-reported <inline-formula><mml:math id="M151" 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 inventories, some American power
plants shifted to the <inline-formula><mml:math id="M152" 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>-limited regime (from 3.5 % to
11 % of the power plants), and showed that these newly
<inline-formula><mml:math id="M153" 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>-limited power plants were primarily in the southeastern
United States  (Fry et al., 2015). The effect of changing
<inline-formula><mml:math id="M154" 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> on SOA burden is clearly still in need of further study.</p>
      <p id="d1e1995">Here, we present aircraft transects of spatially discrete
<inline-formula><mml:math id="M155" 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> plumes from electric generating units (EGU), or power
plants (PP), as a method to specifically isolate the influence of <inline-formula><mml:math id="M156" 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. These plumes are concentrated and highly enriched in
<inline-formula><mml:math id="M157" 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> over a scale of only a few km
(Brown et al., 2012), and have nitrate radical
production rates (<inline-formula><mml:math id="M158" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M159" 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>)) 10–100 times greater than those of
background air. The rapid shift in <inline-formula><mml:math id="M160" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M161" 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>) allows direct comparison
of air masses with slow and rapid oxidation rates attributable to the nitrate
radical, effectively isolating the influence of this single chemical pathway
in producing SOA and other oxidation products. Changes in organic nitrate
aerosol (<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentration and accompanying isoprene titration
enable a direct field determination of the SOA yield from <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> <inline-formula><mml:math id="M164" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene.</p>
</sec>
<sec id="Ch1.S2">
  <title>Field campaign and experimental and modeling methods</title>
      <p id="d1e2103">The Southeast Nexus (SENEX: <uri>http://esrl.noaa.gov/csd/projects/senex/</uri>, last access: 8 August 2018)
campaign took place 3 June through 10 July 2013 as the NOAA WP-3D aircraft
contribution to the larger Southeast Atmospheric Study (SAS:
<uri>http://www.eol.ucar.edu/field_projects/sas/</uri>, last access: 8 August 2018), a large, coordinated
research effort focused on understanding natural and anthropogenic emissions,
oxidation chemistry and production of aerosol in the summertime atmosphere in
the southeastern United States. The NOAA WP-3D aircraft operated 18 research
flights out of Smyrna, Tennessee, carrying an instrument payload oriented
towards elucidating emissions inventories and reactions of atmospheric trace
gases, and aerosol composition and optical properties  (Warneke et al.,
2016). One of the major goals of the larger SAS study is to quantify the
fraction of organic aerosol that is anthropogenically controlled, with<?pagebreak page11667?> a
particular focus on understanding how OA may change in the future in response
to changing anthropogenic emissions.</p>
      <p id="d1e2112">The subset of aircraft instrumentation employed for the present analysis of
nighttime <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene initiated SOA production includes
measurements used to determine <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical production rate
(<inline-formula><mml:math id="M168" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M170" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M172" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) [<inline-formula><mml:math id="M173" 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>] [<inline-formula><mml:math id="M174" 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>]), isoprene and
monoterpene concentrations, other trace gases for plume screening and
identification, aerosol size distributions and aerosol composition. The
details on the individual measurements and the overall aircraft deployment
goals and strategy are described in Warneke et al. (2016). Briefly, <inline-formula><mml:math id="M175" 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>
was measured by UV photolysis and gas-phase
chemiluminescence (P-CL) and by cavity ringdown spectroscopy, (CRDS), which
agreed within 6 %. <inline-formula><mml:math id="M176" 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> was also measured by both gas-phase
chemiluminescence and CRDS and agreed within 8 %, within the combined
measurement uncertainties of the instruments. Various volatile organic
compounds were measured with several techniques, including for the isoprene
and monoterpenes of interest here, proton reaction transfer mass
spectrometry (PTR-MS) and canister whole air samples and post-flight GC-MS
analysis (iWAS/GCMS). A comparison of PTR-MS and iWAS/GCMS measurements of
isoprene during SENEX has high scatter due to imperfect time alignment and
isoprene's high variability in the boundary layer, but the slope of the
intercomparison is 1.04 (Warneke et al., 2016); for more details on the
VOC intercomparisons; see also Lerner et al. (2017).
Acetonitrile from the PTRMS was used to screen for the influence of biomass
burning. Sulfur dioxide (<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was used to identify emissions from
coal-fired power plants. All gas-phase instruments used dedicated inlets,
described in detail in the supplemental information for Warneke et al. (2016).</p>
      <p id="d1e2255">Aerosol particles were sampled downstream of a low turbulence inlet
(Wilson et al., 2004), after which they were dried by
ram heating, size-selected by an impactor with 1 <inline-formula><mml:math id="M178" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m aerodynamic diameter
size cut-off, and measured by various aerosol instruments  (Warneke et al.,
2016). An ultra-high-sensitivity aerosol sizing spectrometer (UHSAS, Particle
Metrics, Inc., Boulder, CO   Brock et al., 2011; Cai et al., 2008) was used
to measure the dry submicron aerosol size distribution down to about 70 nm.
Data for the UHSAS are reported at 1 Hz whereas AMS data were recorded
roughly every 10 s. The ambient (wet) surface areas were calculated
according to the procedures described in Brock et al. (2016). A pressure-controlled inlet
(Bahreini et al., 2008) was
employed to ensure that a constant mass flow rate was sampled by a compact
time-of-flight aerosol mass spectrometer (C-ToF-AMS), which measured the
non-refractory aerosol composition  (Drewnick et al., 2005). The
aerosol volume transmitted into the AMS was calculated by applying the
measured AMS lens transmission curve  (Bahreini et al., 2008)
to the measured particle volume distributions from the UHSAS. For the entire
SENEX study, the mean, calculated fraction of aerosol volume behind the 1
micron impactor that was transmitted through the lens into the AMS instrument
was 97 % (with <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> % standard deviation), indicating that most of
the submicron aerosol volume measured by the sizing instruments was sampled
by the AMS.</p>
      <p id="d1e2275">After applying calibrations and the composition-dependent collection
efficiency following Middlebrook et al. (2012), the limits of detection for the flight analyzed here were
0.05 <inline-formula><mml:math id="M180" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M181" 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> for nitrate, 0.26 <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M183" 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> for organic mass, 0.21 <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M185" 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>
for ammonium, and 0.05 <inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M187" 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> for sulfate,
determined as three times the standard deviation of 10 s filtered air
measurements obtained for 10 min during preflight and 10 min during
postflight (110 datapoints). Note that the relative ionization efficiency for
ammonium was 3.91 and 3.87 for the two bracketing calibrations and an average
value of 3.9 was used for the flight analyzed here. An orthogonal distance
regression (ODR-2) of the volume from composition data (AMS mass plus
refractory black carbon) using a mass weighted density as described by
Bahreini et al. (2009) vs. the volume based on the sizing instruments (after correcting for
AMS lens transmission as above) had a slope of 1.06 for the entire SENEX
study and 72 % of the data points were within the measurements' combined
uncertainties of <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> % (Bahreini et al., 2008). However, for
the flight analyzed here, the same regression slope was 1.58, which
is slightly higher than the combined uncertainties. It is unclear why the two
types of volume measurements disagree more for this flight. This does not
change the conclusions of this work because this has been incorporated into
the error in aerosol organic nitrate, which still show positive enhancements
in <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for these plumes (see Fig. 4 below). These complete error
estimates are also used in Fig. 5 to clearly show the uncertainties in the
yields. The volume comparison is discussed further in the Supplement and shown
for the plumes of interest in Fig. S1.</p>
      <?pagebreak page11668?><p id="d1e2377">The C-ToF-AMS is a unit mass resolution (UMR) instrument and the mass
spectral signals that are characteristic of aerosol nitrate at <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>30 and 46
(<inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) often contain interferences from organic
species such as <inline-formula><mml:math id="M193" 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:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M194" 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:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, respectively.
Here, the <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30 and 46 signals have been corrected for these interferences by
using correlated organic signals at <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 29, 42, 43, and 45 that were derived
from high-resolution AMS measurements during the NASA SEAC<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS campaign
that took place in the same regions of the SE US shortly after SENEX (see
and Fig. S2). The corrections were applied to the
individual flight analyzed here from 2 July. All of the corrections were
well correlated with each other for the SEAC<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula>RS dataset and we used the
organic peak at <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 29 (from <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">CHO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and the peak at <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 45 (from
<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CHO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>), respectively, as those corrections were from peaks
closest (in <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>) to those being corrected. Once corrected, the nitrate mass
concentrations in the final data archive for this flight were reduced by
0–0.24 <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g sm<inline-formula><mml:math id="M205" 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>, an average reduction of 0.11 <inline-formula><mml:math id="M206" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g sm<inline-formula><mml:math id="M207" 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>
or 32 % from the initial nitrate mass concentrations. The organic
interferences removed from the <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30 and <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 46 signals are linearly correlated
with the total organic mass concentrations, corresponding to an average
1.3 % increase in the total organic mass.</p>
      <p id="d1e2617">The ratio of the corrected <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> signals was then used to
calculate the fraction of aerosol nitrate that was organic (<inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or
inorganic (ammonium nitrate) based on the method described first in Fry et al. (2013). Here we used an
organic <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M215" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio that was equal to the ammonium nitrate
<inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio from our calibrations divided by 2.8. This
factor was determined from multiple datasets (see discussion in the Supplement). The ammonium
nitrate <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio was
obtained from the two calibrations on 30 June and 7 July that bracketed the
flight on 2 July, which is analyzed here. It was 0.514 and 0.488,
respectively, and for all of the data from both calibrations it averaged
0.490. Hence, the organic nitrate <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M224" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio was
estimated to be 0.175. This is the first time, to our knowledge, that UMR
measurements of aerosol nitrate have been corrected with HR correlations and
used to apportion the corrected nitrate into inorganic or organic nitrate
species.</p>
      <p id="d1e2788">The time since emission of intercepted power plant plumes was estimated from
the slope of a plot of <inline-formula><mml:math id="M226" 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> against <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">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. For nighttime emitted
<inline-formula><mml:math id="M228" 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> plumes that consist primarily of NO (Peischl et al., 2010), <inline-formula><mml:math id="M229" 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> is negatively
correlated with <inline-formula><mml:math id="M230" 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> due to the rapid reaction of NO with <inline-formula><mml:math id="M231" 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> that
produces <inline-formula><mml:math id="M232" 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 a 1 : 1 ratio:
          <disp-formula id="R1" content-type="numbered reaction"><mml:math id="M233" display="block"><mml:mrow><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">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:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Reaction (R1) goes rapidly (NO pseudo first order loss rate coefficient of
0.03 s<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 60 ppb <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) to completion, so that all
<inline-formula><mml:math id="M236" 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 present as <inline-formula><mml:math id="M237" 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>, as long as the plume NO does not
exceed background <inline-formula><mml:math id="M238" 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> after initial mixing of the plume into background
air. Subsequent oxidation of <inline-formula><mml:math id="M239" 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> via Reaction (R2) leads to an
increasingly negative slope of <inline-formula><mml:math id="M240" 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> vs. <inline-formula><mml:math id="M241" 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>:
          <disp-formula id="R2" content-type="numbered reaction"><mml:math id="M242" display="block"><mml:mrow><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: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">3</mml:mn></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">2</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Equation (1) then gives plume age subsequent to the completion of
(R1) in terms of the observed slope, <inline-formula><mml:math id="M243" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>, of <inline-formula><mml:math id="M244" 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> vs. <inline-formula><mml:math id="M245" 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> (Brown et
al., 2006).
          <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M246" display="block"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">plume</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mfenced open="[" close="]"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>S</mml:mi><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>S</mml:mi><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mover accent="true"><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 mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
        Here <inline-formula><mml:math id="M247" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> is a stoichiometric factor that is chosen for this analysis to be 1
based on agreement of plume age with elapsed time in a box model run
initialized with SENEX flight conditions (see below); <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the
temperature dependent bimolecular rate constant for <inline-formula><mml:math id="M249" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Reaction R2) and <inline-formula><mml:math id="M250" display="inline"><mml:mover accent="true"><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 mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>   is the average <inline-formula><mml:math id="M251" 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> within the plume.</p>
      <p id="d1e3177">We calculate plume ages using both a stoichiometric factor of 1 (loss of
<inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dominated by <inline-formula><mml:math id="M254" 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> reactions) and 2
(loss dominated by <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions), although we note that the
chemical regime for <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss may change over the lifetime
of the plume, progressing from 1 to 2 as the BVOC is consumed. We use <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>1
values in the analysis that follows. As the more aged plumes are more
likely to have <inline-formula><mml:math id="M258" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> approach 2, this means that some of the older plumes may
have overestimated ages. Figure S3 shows the
plume age calculated by Eq. (1) using modeled <inline-formula><mml:math id="M259" 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="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M261" 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> concentrations for <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, from nighttime simulations
of plume evolution using an observationally constrained box model. This
confirms that for nighttime plumes, <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> plume ages match modeled elapsed
time well. The model used for this calculation, and those used to assess
peroxy radical lifetimes and fates in Sect. 4.3, was the Dynamically Simple
Model of Atmospheric Chemical Complexity (DSMACC   Emmerson
and Evans, 2009) containing the Master Chemical Mechanism v3.3.1 chemistry
scheme  (Jenkin et al., 2015). More details on the
model approach are provided in the Supplement.</p>
</sec>
<sec id="Ch1.S3">
  <title>Nighttime flight selection</title>
      <p id="d1e3351">There were three nighttime flights (takeoffs on the evenings of 19 June,
2 and 3 July 2013, Central Daylight Time)
conducted during SENEX, of which one (2 July) surveyed regions surrounding
Birmingham, Alabama, including multiple urban and power plant plume
transects. As described in the introduction, these plume transects are the
focus of the current analysis as they correspond to injections of
concentrated NO (and subsequently high <inline-formula><mml:math id="M265" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M266" 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>)) into the regionally
widespread residual layer isoprene. The nighttime flight on 3 July, over
Missouri, Tennessee and Arkansas sampled air more heavily influenced by
biomass burning than biogenic emissions. The 19 June night flight sampled
earlier in the evening, in the few hours immediately after sunset, and
sampled more diffuse urban plume transects that had less contrast with
background air. Therefore, this paper uses data exclusively from the 2 July
flight, in which nine transects of well-defined <inline-formula><mml:math id="M267" 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> plumes
from power plants emitted during darkness can be analyzed to obtain
independent yields measurements.</p>
      <p id="d1e3383">A map of the 2 July flight track is shown in Fig. 1a. After takeoff at 8:08
pm local Central Daylight Time on 2 July, 2013 (01:08 a.m. UTC 3 July 2016),
the flight proceeded towards the southwest until due west of Montgomery, AL,
after which it conducted a series of east-west running tracks while working
successively north toward Birmingham, AL. Toward the east of Birmingham, the
aircraft executed overlapping north-south tracks at six elevations to sample
the  E. C. Gaston
power plant. During the course of the flight, concentrated
<inline-formula><mml:math id="M268" 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> plumes from the Gaston, Gorgas, Miller and Greene City
power plants were sampled. Around 01:30 and 02:30 a.m. Central Daylight Time
(05:30 and 06:30 a.m. UTC), two transects of the Birmingham, AL urban plume were
measured prior to returning to the Smyrna, TN airport base.</p>
      <?pagebreak page11669?><p id="d1e3397"><?xmltex \hack{\newpage}?>The flight track is shown colored by the nitrate radical production rate,<inline-formula><mml:math id="M269" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M270" 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 show the points of urban and/or power plant plume
influence:
          <disp-formula id="Ch1.E2" content-type="numbered"><mml:math id="M271" display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><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:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Here, <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is again the temperature-dependent rate coefficient for
reaction of <inline-formula><mml:math id="M273" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Atkinson et al., 2004), and the square
brackets indicate concentrations. Figure 1b further illustrates the selection
of power plants plumes: sharp peaks in <inline-formula><mml:math id="M274" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) are indicative of
power plant plume transects, during which isoprene mixing ratios also are
observed to drop from the typical regional residual layer background values
of <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppb, indicative of loss by <inline-formula><mml:math id="M277" 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 (an individual
transect is shown in more detail below in Fig. 2). Also shown in Fig. 1b are
measured concentrations of isoprene and monoterpenes throughout the flight,
showing substantial residual layer isoprene and supporting the assumption
that effectively all <inline-formula><mml:math id="M278" 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> reactivity is via isoprene (see calculation
in next section). Residual layer concentrations of other VOCs that could
produce SOA (e.g., aromatics) are always below 100 pptv, and their reaction
rates with <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are slow. Edwards et al. (2017) have shown that
<inline-formula><mml:math id="M280" 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 isoprene mixing ratios for this and other SENEX night flights
exhibit a strong and characteristic anticorrelation that is consistent with
nighttime residual layer oxidation chemistry.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p id="d1e3578"><bold>(a)</bold> Map of northern Alabama, showing the location of the
flight track of the 2 July 2013 night flight used in the present analysis,
with plume numbers labeled and wind direction shown. Although the wind
direction changed throughout the night, these measurements enable us to
attribute each plume to a power plant source (see labels in Fig. 1b and
Table 2). Color scale shows <inline-formula><mml:math id="M281" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M282" 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>) based on aircraft-measured
[<inline-formula><mml:math id="M283" 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="M284" 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>], while power plants discussed in the text are
indicated in blue squares with marker size scaled to annual
<inline-formula><mml:math id="M285" 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 for 2013 (scale not shown). Isoprene emissions
are widespread in the region (Edwards et al., 2017). Panel <bold>(b)</bold> shows
time series data from the same flight, with plume origins and numbers
labeled, showing aircraft-measured isoprene and monoterpene concentrations,
altitude, and <inline-formula><mml:math id="M286" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M287" 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>) determined according to Eq. (2) (log scale),
showing that the isoprene was uniformly distributed (mixing ratios often in
excess of 1 ppbv), while the more reactive monoterpenes were present at
mixing ratios below 100 ppt except at the lowest few hundred meters above
ground in the vertical profiles (not used in the present analysis). Figure 1b
also shows that sharp peaks in nitrate radical production rate occur both at
the lowest points of these vertical profiles, when the aircraft approached
the surface, but also frequently during periods of level flight in the
residual layer, which correspond to the power plant plume transects analyzed
in this paper.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Selection of plumes</title>
      <p id="d1e3674">Figure 2 shows a subset of the 2 July flight time series data, illustrating
three <inline-formula><mml:math id="M288" 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> plumes used for analysis. The large <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
source and isoprene loss was accompanied by an increase in organic nitrate
aerosol mass, which we attribute to the <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M291" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reaction
based on prior arguments. We observed each plume as a rapid and brief
perturbation to background conditions, in the order of 10–50 s, or 1–5 km in
spatial scale. Each plume's perturbed conditions can correspond to different
plume ages, depending on how far downwind of the power plant the plume
transect occurred.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p id="d1e3719">Three representative plume transect observations from the
2 July 2013 flight (plumes are identified by the peaks in <inline-formula><mml:math id="M292" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M293" 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>),
listed in Table 1 at times 02:18, 02:20, and 02:21 UTC). Note the difference
in sulfate enhancement in the three plumes, which is largest in the third
plume, and is accompanied by increases in ammonium. In all three cases, the
isoprene concentration drops in the plumes, accompanied by a clear increase
in organic nitrate, no changes in the inorganic nitrate, and modest changes
in organic aerosol mass concentrations.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f02.pdf"/>

        </fig>

      <p id="d1e3746">Candidate plumes were initially identified by scanning the time series flight
data for any period where the production rate of nitrate radical
(<inline-formula><mml:math id="M294" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M295" 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>)) rose above 0.5 ppbv h<inline-formula><mml:math id="M296" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. This threshold was
chosen to be above background noise and large enough to isolate only true
plumes (see Fig. 1a). The value is thus subjectively chosen, but was
consistently applied across the dataset. For each such period, a first
screening removed any of these candidate plumes that occurred during missed
approaches or other periods where radar altitude above ground level (a.g.l.) was
changing, because in the stratified nighttime boundary layer structure,
variations in altitude may result in sampling different air-masses, rendering
the adjacent out of plume background not necessarily comparable to in-plume
conditions. A second criterion for rejection of a plume was missing isoprene
or AMS data during brief plume intercepts. No selected plumes on 2 July
showed enhanced acetonitrile or refractory black carbon,<?pagebreak page11670?> indicating no
significant biomass burning influence. Finally, two plumes downwind of the
Gaston power plant (at 03:10 and 03:14) were removed from the present
analysis, because (03:10) the background isoprene was changing rapidly,
preventing a good baseline measurement, and (03:14) there was no observed
decrease in isoprene concentration in-plume (as well as no increase in
nitrate aerosol). The 03:14 plume was apparently too recently emitted to have
undergone significant nighttime reaction; its <inline-formula><mml:math id="M297" 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="M298" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> slope was
unity, within the combined measurement error of <inline-formula><mml:math id="M300" 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="M301" 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>
(Eq. 1). After this filtering, there are 9 individual plume observations for
determination of <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M303" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene SOA yields (see Table 1). The rapid
increases in <inline-formula><mml:math id="M304" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M305" 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>) appeared simultaneously with significant
decreases in isoprene and increases in aerosol nitrate. The aerosol and
isoprene measurements (taken at data acquisition rates &lt; 1 Hz) were
not exactly coincident in time, which leads to some uncertainty in the yield
analysis below.</p>
      <p id="d1e3868">Derivation of SOA yields from observed changes in isoprene and aerosol mass
in plumes depends on two conditions, and has several caveats that will be
discussed in the text that follows (see Table 3 below for a summary of these
caveats). The two conditions are (1) that the majority of VOC mass
consumed by <inline-formula><mml:math id="M306" 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 plumes is isoprene (rather than monoterpenes or
other VOC), and then that (2a) the change in aerosol organic
mass concentration during these plumes is due to <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M308" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene
reactions, and/or (2b) the change in aerosol nitrate mass concentration
is due to <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reactions. There are separate considerations
for each of these conditions.</p>
      <p id="d1e3919">For the first condition, we note that the isoprene to monoterpenes ratio just
outside each plume transect was always high (a factor of 10 to 70, on average
26). With the 298 K <inline-formula><mml:math id="M311" 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> rate constants of <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M313" 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="M314" 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="M315" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for monoterpenes and <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M317" 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="M318" 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="M319" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for isoprene (Calvert et al., 2000),
isoprene (<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> ppb) will always
react faster with nitrate than monoterpenes (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> ppbv). At these
relative concentrations, even if all of the monoterpene is oxidized, the
production rate of oxidation products will be much larger for isoprene.
Contribution to aerosol by <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake is also not important in
these plumes. Edwards et al. (2017)
calculated the sum of <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> loss throughout this
flight and showed that it is consistently <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M326" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BVOC dominated (Fig. S4 of
that paper). As isoprene depletes, <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake will increasingly
contribute to <inline-formula><mml:math id="M328" 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> loss, but as shown below, we are able to rule out a
substantial source of inorganic nitrate for most plumes. We also know that
despite increased OH production in-plume, the isoprene loss is still
overwhelming dominated by <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S5 in Edwards, et al., 2017).</p>
      <p id="d1e4159">The second condition requires that we can find an aerosol signal that is
attributable exclusively to <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M331" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reaction products, whether it
be organic aerosol (OA) or organic nitrate aerosol (<inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) mass
loading, or both. We note that the ratio of in-plume aerosol organic mass
increase to <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass increase is noisy (see discussion below at Fig. 6),
but indicates an average in-plume <inline-formula><mml:math id="M334" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA to <inline-formula><mml:math id="M335" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
ratio of about 5. The large variability is primarily due to the fact that the
variability in organic aerosol mass between successive 10 s data points
for the entire flight is quite large (of order 0.75 <inline-formula><mml:math id="M337" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M338" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and
comparable to many of the individual plume <inline-formula><mml:math id="M339" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA increases, far
exceeding the expected organonitrate driven increases in OA, which are
roughly twice the <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass increases. It is also possible that in
these plumes, where total aerosol mass is elevated, semivolatile organic
compounds may repartition to the aerosol phase, contributing a
non-<inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> driven variability in <inline-formula><mml:math id="M342" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA. For example, if some gas
phase IEPOX is present in the residual layer, it may be taken up into the
highly acidic aerosol from the power plants. Alternatively, very polar
gas-phase compounds could partition further into the higher liquid water
associated with the sulfate in the plume. Therefore, in-plume organic aerosol
increases cannot be attributed clearly to <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M344" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene SOA
production, so we do not use them in the SOA yield calculations.</p>
      <?pagebreak page11671?><p id="d1e4301">This leaves consideration 2b, whether all increase in nitrate mass is due to
<inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M346" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reactions. Here we must evaluate the possibility of
inorganic nitrate aerosol production in these high-<inline-formula><mml:math id="M347" 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>
plumes. Fine-mode aerosol inorganic nitrate can be formed by the (reversible)
dissolution of <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> into aqueous aerosol. In dry aerosol samples,
inorganic nitrate is typically in the form of ammonium nitrate
(<inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), when excess ammonium is available after neutralization of
sulfate as (<inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula><inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Due to the
greater stability of ammonium sulfate salt relative to ammonium nitrate, in
high-sulfate plumes with limited ammonium, inorganic nitrate aerosol will
typically evaporate as <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>  (Guo
et al., 2015) (Reaction R3):
            <disp-formula id="R3" content-type="numbered reaction"><mml:math id="M356" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          Inorganic nitrate can also form when crustal dust (e.g., <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or
sea salt (NaCl) are available. Uptake of <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is rendered favorable by
the higher stability of nitrate mineral salts, evaporating <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or HCl.
Inorganic nitrate can also be produced by the heterogeneous uptake of
<inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> onto aqueous aerosol; Edwards et al. (2017) demonstrated that
this process is negligible relative to <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M362" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BVOC for the 2 July
SENEX night flight considered here.</p>
      <p id="d1e4597">There are several lines of evidence that the observed nitrate aerosol is
organic and not inorganic. First, examination of the
<inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M364" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (interference-corrected
<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 46 : <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30) ratio measured by the aircraft AMS (Fig. 3) shows a
ratio throughout the 2 July flight, including the selected plumes, that is
substantially lower than that from the bracketing ammonium nitrate
calibrations. This lower AMS measured <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M369" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
ratio has been observed for organic nitrates (Farmer et al., 2010), and some
mineral nitrates (e.g., Ca(<inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; Hayes et
al., 2013 ), which are not important in this case because aerosol was
dominantly submicron. As described above, we can separate the observed AMS
nitrate signal into <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and inorganic nitrate contributions. These
mass loadings are also shown in Fig. 3, indicating dominance of
<inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> throughout the flight.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p id="d1e4743">For the flight under consideration, the estimated relative
contributions of ammonium and organic nitrate to the total corrected nitrate
signal <bold>(a)</bold> was calculated from the ratios of the corrected peaks at
<inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 30 and 46 <bold>(b)</bold>. Each of the plumes is identified here by plume
number. The ratios of <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M378" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (black data in <bold>b</bold>)
from the corrected peaks at <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 46 and 30, respectively, are compared to
the ratios expected for ammonium nitrate (AN Calibration Ratio, blue
horizontal line at 0.49) or organic nitrate (<inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Ratio, green
horizontal line at 0.175), which is estimated from the AN calibration ratio
using multiple data sets (see discussion in the Supplement). The
measured ratio for most of the flight is more characteristic of organic
nitrate than ammonium nitrate.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f03.pdf"/>

        </fig>

      <p id="d1e4829">We can also employ the comparison of other AMS-measured aerosol components
during the individual plumes to assess the possibility of an inorganic
nitrate contribution to total measured nitrate. Figure S5a shows that the
in-plume increases in sulfate are correlated with increases in ammonium with
an <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.4. The observed slope of 5.4 is characteristic of primarily
(<inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which indicates that the sulfate mass is not fully
neutralized by ammonium. However, we note that if the largest observed
aerosol nitrate increase is due solely to ammonium nitrate, the ammonium
increase would be only 0.11 <inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M386" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which would be difficult to
discern from the <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability of order 0.11 <inline-formula><mml:math id="M388" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M389" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
However, the slope is consistent with incomplete neutralization of the
sulfate by ammonium, which would make <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the more thermodynamically
favorable form of inorganic nitrate. The ion balance for the ammonium nitrate
calibration particles and the plume enhancements are shown in Fig. S5b.
Complete neutralization of the calibration aerosols is nearly always within
the gray 10 % uncertainty band for the relative ionization efficiency of
ammonium (Bahreini et al., 2009). In contrast, many of the plume enhancements
are near the 1 : 2 line (as primarily ammonium bisulfate) within the combined
10 % ammonium and 15 % sulfate uncertainty error bars or without
ammonium (sulfuric acid). Thus, <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is unlikely to be stable
in the aerosol phase under the conditions of these plumes, consistent with
the AMS observations.</p>
      <p id="d1e4949">A plot of the calculated plume enhancements from the derived apportionment
into organic (<inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and inorganic (ammonium) nitrate is shown in Fig. 4.
The increases in aerosol nitrate for nearly all of the plumes appear to be
mostly due to enhancements in <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Based on these considerations, we
conclude that in-plume <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass increases are a consequence (and thus
a robust measure) of organic nitrate aerosol produced from <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M396" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene.
As each isoprene molecule condensing will have one nitrate
group, the ratio of these increases to isoprene loss is a direct measure of
the molar organic aerosol yield from <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-isoprene oxidation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e5017">The contribution of each species to the nitrate enhancements in each
of the plumes, showing that the enhancements in most of the plumes are mainly
due to enhancements in organic nitrate, with the exception of Plume 8, which
had enhancements in both organic and ammonium nitrate. Error bars are
estimated from the measurement variability, the UMR corrections to the
nitrate signals, apportionment between organic and inorganic nitrate, and the
total nitrate uncertainty (see Supplement).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f04.pdf"/>

        </fig>

      <p id="d1e5026">Table 1 shows the selected plumes to be used for yield analysis. Wherever
possible, multiple points have been averaged for in-plume and background
isoprene and nitrate aerosol concentrations; in each case the number of
points used is indicated and the corresponding standard deviations are
reported. In two cases (02:20 and 03:03 plumes), the plumes were so narrow
that only a single point was measured in-plume at the 10 s time resolution
of the PTR-MS and AMS; for these “single-point” plumes it is not possible
to calculate error bars. Error bars were determined using the standard
deviations calculated for in-plume and background isoprene and nitrate
aerosol concentrations, accounting also<?pagebreak page11672?> for the additional uncertainty in
the AMS measurement described in the caption to Fig. 4, and propagated
through the yield formula detailed in the following section.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e5032">List of plumes used in this <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M399" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene SOA yield analysis.
For each plume, the delta values listed indicate the difference between
in-plume and outside-plume background in average observed concentration, and
the standard deviations (SD) are the propagated error from this subtraction.
(For <inline-formula><mml:math id="M400" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M401" 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> from <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the standard deviations also
include error propagated as described in the caption for Fig. 4) After each
plume number, the numbers of points averaged for isoprene (10 s resolution)
and AMS (10 s resolution) are listed, respectively. As the isoprene
data were reported at a lower frequency, these numbers are typically lower to
cover the same period of time. Plume numbers annotated with <inline-formula><mml:math id="M403" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> indicate brief
plumes for which only single-point measurements of in-plume aerosol
composition were possible. Additional AMS and auxiliary data from each plume
is included in the Supplement, Table S3.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Plume number</oasis:entry>
         <oasis:entry colname="col2">7/2/13 plume</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M409" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M411" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>ISOP (ppt)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M412" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">aero</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M414" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M415" 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> from <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M417" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M418" 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> from <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">[#isop/#AMS]</oasis:entry>
         <oasis:entry colname="col2">time (UTC)</oasis:entry>
         <oasis:entry colname="col3">(ppbv h<inline-formula><mml:math id="M420" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">[<inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M422" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M423" 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>) [<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M425" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M426" 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>) [<inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M428" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M429" 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>)  [<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4" align="center">Typical variability (<inline-formula><mml:math id="M431" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M432" 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>) </oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">0.05</oasis:entry>
         <oasis:entry colname="col7">0.05</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">02:18</oasis:entry>
         <oasis:entry colname="col3">0.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">335</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.107</oasis:entry>
         <oasis:entry colname="col6">0.086</oasis:entry>
         <oasis:entry colname="col7">0.022</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[128]</oasis:entry>
         <oasis:entry colname="col5">[0.039]</oasis:entry>
         <oasis:entry colname="col6">[0.047]</oasis:entry>
         <oasis:entry colname="col7">[0.012]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">02:20</oasis:entry>
         <oasis:entry colname="col3">0.8</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">404</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.079</oasis:entry>
         <oasis:entry colname="col6">0.079</oasis:entry>
         <oasis:entry colname="col7">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[*]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">[0.049]</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">02:21</oasis:entry>
         <oasis:entry colname="col3">1.2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">228</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.067</oasis:entry>
         <oasis:entry colname="col6">0.074</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.007</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[121]</oasis:entry>
         <oasis:entry colname="col5">[0.039]</oasis:entry>
         <oasis:entry colname="col6">[0.043]</oasis:entry>
         <oasis:entry colname="col7">[0.027]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">03:03</oasis:entry>
         <oasis:entry colname="col3">1.4</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">453</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.118</oasis:entry>
         <oasis:entry colname="col6">0.166</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.049</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">[0.088]</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">03:55</oasis:entry>
         <oasis:entry colname="col3">1.0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">255</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.046</oasis:entry>
         <oasis:entry colname="col6">0.045</oasis:entry>
         <oasis:entry colname="col7">0.002</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[3/4]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[251]</oasis:entry>
         <oasis:entry colname="col5">[0.019]</oasis:entry>
         <oasis:entry colname="col6">[0.026]</oasis:entry>
         <oasis:entry colname="col7">[0.015]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">04:34</oasis:entry>
         <oasis:entry colname="col3">0.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">713</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.072</oasis:entry>
         <oasis:entry colname="col6">0.107</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.035</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[219]</oasis:entry>
         <oasis:entry colname="col5">[0.031]</oasis:entry>
         <oasis:entry colname="col6">[0.059]</oasis:entry>
         <oasis:entry colname="col7">[0.029]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">04:37</oasis:entry>
         <oasis:entry colname="col3">0.8</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">298</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.100</oasis:entry>
         <oasis:entry colname="col6">0.080</oasis:entry>
         <oasis:entry colname="col7">0.021</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[197]</oasis:entry>
         <oasis:entry colname="col5">[0.082]</oasis:entry>
         <oasis:entry colname="col6">[0.051]</oasis:entry>
         <oasis:entry colname="col7">[0.034]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8<inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">04:39</oasis:entry>
         <oasis:entry colname="col3">0.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">443</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.354</oasis:entry>
         <oasis:entry colname="col6">0.201</oasis:entry>
         <oasis:entry colname="col7">0.153</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[75]</oasis:entry>
         <oasis:entry colname="col5">[0.058]</oasis:entry>
         <oasis:entry colname="col6">[0.120]</oasis:entry>
         <oasis:entry colname="col7">[0.057]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">05:04</oasis:entry>
         <oasis:entry colname="col3">0.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">293</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.172</oasis:entry>
         <oasis:entry colname="col6">0.227</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.055</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">[<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">[131]</oasis:entry>
         <oasis:entry colname="col5">[0.048]</oasis:entry>
         <oasis:entry colname="col6">[0.115]</oasis:entry>
         <oasis:entry colname="col7">[0.042]</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e5090"><inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Plume 5 has the smallest <inline-formula><mml:math id="M405" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">aero</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and may be
affected by background <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability. <inline-formula><mml:math id="M408" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Plume 8 has a measurable
increase in inorganic nitrate as well as organic.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S4.SS2">
  <title>SOA yield analysis</title>
      <p id="d1e6098">A molar SOA yield refers to the number of molecules of aerosol
organic nitrate produced per molecule of isoprene consumed. In order to
determine molar SOA yields from the data presented in Table 1, we convert the
aerosol organic nitrate mass loading differences to mixing ratio differences
(ppt) using the <inline-formula><mml:math id="M455" 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> molecular weight of 62 g mol<inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (the AMS
organic nitrate mass is the mass only of the <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">ONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> portion of the
organonitrate aerosol). At standard conditions of 273 K and 1 atm (all
aerosol data are reported with this STP definition), 1000 ppt <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M459" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.77 <inline-formula><mml:math id="M460" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M461" 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>,
so each <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is multiplied by 361 ppt
(<inline-formula><mml:math id="M463" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M464" 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>)<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to determine this molar yield:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M466" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">molar</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><?xmltex \hack{\hbox\bgroup\fontsize{7.9}{7.9}\selectfont$\displaystyle}?><mml:mspace width="1em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">pRONO</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">pRONO</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">bkg</mml:mi></mml:mrow></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">bkg</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">isop</mml:mi><mml:mi mathvariant="normal">plume</mml:mi></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mi mathvariant="normal">isopplume</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">isop</mml:mi><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mi mathvariant="normal">isopbkg</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">361</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">ppt</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            The SOA molar yields resulting from this calculation are shown in Table 2,
spanning a range of 5 %–28 %, with uncertainties indicated based on
the SDs in measured AMS and isoprene concentrations. In addition to this
uncertainty based on measurement precision and ambient variability, there is
an uncertainty of 50 % in the AMS derived-organic nitrate mass loadings
(see Supplement) and 25 % in the PTR-MS isoprene concentrations (Warneke
et al., 2016). The average molar <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> yield across all plumes,
with each point weighed by the inverse of its standard deviation, is 9 %.
(As noted below, the yield appears to increase with plume age, so this
average obscures that trend.) An alternate graphical analysis of molar SOA
yield from all nine plumes plus one “null” plume (03:14, in which no
isoprene had yet reacted and is thus not included in Tables 1 and 2) obtains
the same average molar yield of 9 % (Fig. 5). Here, the molar yield is
the slope of a plot of plume change in <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. plume change in
isoprene. The slope is determined by a linear fit with points weighted by the
square root of the number of AMS data points used to determine in-plume
<inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in each case. This slope error gives a rather narrow
uncertainty range for the slope (<inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0930</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0011</mml:mn></mml:mrow></mml:math></inline-formula>); to obtain an upper
limit in the uncertainty of this molar yield we apply the combined
instrumental uncertainties, based on adding in quadrature the PTR-MS
uncertainty of 5 % and the AMS uncertainty of 50 %. This gives an
overall uncertainty of 50.2 %, resulting in upper and lower limit slopes
of 0.140 and 0.046, respectively; we use this maximum uncertainty estimate to
report the average molar yield as 9 % (<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %). We have not
corrected the calculated yields for the possibility of <inline-formula><mml:math id="M472" 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>
heterogeneous uptake, which could add a nitrate functionality to existing
aerosol. Such a process could be rapid if the uptake coefficient for
<inline-formula><mml:math id="M473" 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> were 0.1, a value characteristics of unsaturated substrates (Ng
et al., 2017), but would not contribute measurably at more conventional
<inline-formula><mml:math id="M474" 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> uptake coefficients of 0.001 (Brown and Stutz, 2012).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e6483">SOA Yields for each plume observation, estimated plume age, and
likely origin. See text for description of uncertainty estimates. For the
mass yields, the calculated SOA mass increase includes both the organic and
(organo)nitrate aerosol mass; the measurements for OA increases shown in
Fig. 6 do not include the nitrate mass.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">plume number</oasis:entry>
         <oasis:entry colname="col2">plume time</oasis:entry>
         <oasis:entry colname="col3">SOA molar yield</oasis:entry>
         <oasis:entry colname="col4">SOA mass yield</oasis:entry>
         <oasis:entry colname="col5">plume age from</oasis:entry>
         <oasis:entry colname="col6">Likely <inline-formula><mml:math id="M475" 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></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(UTC)</oasis:entry>
         <oasis:entry colname="col3">(fraction)</oasis:entry>
         <oasis:entry colname="col4">(fraction)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M476" 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="M477" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M478" 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></oasis:entry>
         <oasis:entry colname="col6">origin &amp;</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">[<inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mi mathvariant="normal">SD</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col5">clock assuming <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (h)</oasis:entry>
         <oasis:entry colname="col6">altitude (m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">7/2/13 2:18</oasis:entry>
         <oasis:entry colname="col3">0.09</oasis:entry>
         <oasis:entry colname="col4">0.25</oasis:entry>
         <oasis:entry colname="col5">2.5</oasis:entry>
         <oasis:entry colname="col6">Greene County</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.06]</oasis:entry>
         <oasis:entry colname="col4">[0.17]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">@ 540 m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">7/2/13 2:20</oasis:entry>
         <oasis:entry colname="col3">0.07</oasis:entry>
         <oasis:entry colname="col4">0.21</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">ibid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">7/2/13 2:21</oasis:entry>
         <oasis:entry colname="col3">0.12</oasis:entry>
         <oasis:entry colname="col4">0.32</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">ibid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.10]</oasis:entry>
         <oasis:entry colname="col4">[0.25]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">7/2/13 3:03</oasis:entry>
         <oasis:entry colname="col3">0.13</oasis:entry>
         <oasis:entry colname="col4">0.36</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">Gaston</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">@ 720 m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">7/2/13 3:55</oasis:entry>
         <oasis:entry colname="col3">0.06</oasis:entry>
         <oasis:entry colname="col4">0.17</oasis:entry>
         <oasis:entry colname="col5">1.4</oasis:entry>
         <oasis:entry colname="col6">Miller/Gorgas</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.07]</oasis:entry>
         <oasis:entry colname="col4">[0.20]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">@ 690 m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">7/2/13 4:34</oasis:entry>
         <oasis:entry colname="col3">0.05</oasis:entry>
         <oasis:entry colname="col4">0.15</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">ibid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.03]</oasis:entry>
         <oasis:entry colname="col4">[0.09]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">7/2/13 4:37</oasis:entry>
         <oasis:entry colname="col3">0.10</oasis:entry>
         <oasis:entry colname="col4">0.26</oasis:entry>
         <oasis:entry colname="col5">5.5</oasis:entry>
         <oasis:entry colname="col6">ibid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.09]</oasis:entry>
         <oasis:entry colname="col4">[0.24]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2">7/2/13 4:39</oasis:entry>
         <oasis:entry colname="col3">0.16</oasis:entry>
         <oasis:entry colname="col4">0.45</oasis:entry>
         <oasis:entry colname="col5">5.8</oasis:entry>
         <oasis:entry colname="col6">Miller/Gorgas</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.10]</oasis:entry>
         <oasis:entry colname="col4">[0.28]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">@ 1120 m</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2">7/2/13 5:04</oasis:entry>
         <oasis:entry colname="col3">0.28</oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5">6.3</oasis:entry>
         <oasis:entry colname="col6">Gaston</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[0.19]</oasis:entry>
         <oasis:entry colname="col4">[0.52]</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">@ 1280 m</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p id="d1e6991">SOA molar yield can be determined as the slope of <inline-formula><mml:math id="M482" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula><inline-formula><mml:math id="M483" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M484" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> isoprene, both in mixing ratio units. The
linear fit is weighted by square root of number of points used to determine
each in-plume <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with intercept held at zero. The slope
coefficient <inline-formula><mml:math id="M486" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> one standard deviation is <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0930</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0011</mml:mn></mml:mrow></mml:math></inline-formula>. Larger
“outside” high and low limits of the slope (shown as dashed red and blue
lines) are obtained by adding and subtracting from this slope the combined
instrumental uncertainties, based on adding in quadrature the PTR-MS
uncertainty of 5 % and the AMS uncertainty of 50 %. This gives an
overall uncertainty of 50.2 %, resulting in upper and lower limit slopes
of 0.140 and 0.046, respectively. Points are colored by plume age, and size
scaled by square root of number of points (the point weight used in linear
fit). This plot and fit includes the nine plumes listed in Tables 1 and 2, as
well as the 03:14 “unreacted” plume (at <inline-formula><mml:math id="M488" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> isoprene <inline-formula><mml:math id="M489" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">84</mml:mn></mml:mrow></mml:math></inline-formula> ppt). Error bars on isoprene are the propagated
standard deviations of the (in plume–out plume) differences, for plumes in
which multi-point averages were possible. Error bars on <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the same
as in Fig. 4, converted to ppt. The points without error bars are
single-point plumes.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f05.pdf"/>

        </fig>

      <?pagebreak page11674?><p id="d1e7091">To estimate SOA mass yields, we need to make some assumption about
the mass of the organic molecules containing the nitrate groups that lead to
the observed nitrate aerosol mass increase. The observed changes in organic
aerosol are too variable to be simply interpreted as the organic portion of
the aerosol organic nitrate molecules. We conservatively assume the organic
mass to be approximately double the nitrate mass (62 g mol<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), based on
an “average” molecular structure of an isoprene nitrate with three additional
oxygens: e.g., a tri-hydroxynitrate (with organic portion of formula
<inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 119 g mol<inline-formula><mml:math id="M494" 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>), consistent with
2nd-generation oxidation product structures suggested in Schwantes et
al. (2015). Based on this assumed
organic to nitrate ratio, all plumes' expected organic mass increases would
be less than the typical variability in organic of 0.75 <inline-formula><mml:math id="M495" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M496" 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>.
This assumed structure is consistent with oxidation of both double bonds,
which appears to be necessary for substantial condensation of isoprene
products, and which structures would have calculated vapor pressures
sufficiently low to partition to the aerosol phase (Rollins et al., 2009). Another possible
route to low vapor pressure products is intramolecular H rearrangement
reactions, discussed below in Sect. 4.3, which would not require oxidant
reactions at both double bonds. In the case of oxidant reactions at both
double bonds, it is difficult to understand how the second double bond would
be oxidized unless by another nitrate radical, which would halve these
assumed organic to nitrate ratios (assuming the nitrate is retained in the
molecules). In contrast, any organic nitrate aerosol may lose
<inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> moieties, increasing the organic to nitrate ratio. Given these
uncertainties in both directions, we use the assumed “average” structure
above to guess an associated organic mass of double the nitrate mass. Thus,
to estimate SOA mass yield, we multiply the increase in organic nitrate
aerosol mass concentration by three (i.e., <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), and divide by the observed decrease in isoprene,
converted to <inline-formula><mml:math id="M499" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M500" 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> by multiplying by 329 ppt (<inline-formula><mml:math id="M501" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
the conversion factor based on isoprene's molecular weight of
68.12 g mol<inline-formula><mml:math id="M503" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M504" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mi mathvariant="normal">SOA</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">mass</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{8.0}{8.0}\selectfont$\displaystyle}?><mml:mspace linebreak="nobreak" width="1em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">pRONO</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">plume</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">pRONO</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">bkg</mml:mi></mml:mrow></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">bkg</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">isop</mml:mi><mml:mi mathvariant="normal">plume</mml:mi></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mi mathvariant="normal">isopplume</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">isop</mml:mi><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub><mml:mo>±</mml:mo><mml:msub><mml:mi mathvariant="normal">SD</mml:mi><mml:mi mathvariant="normal">isopbkg</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mspace width="1em" linebreak="nobreak"/><mml:mo>×</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">329</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            Note that the SOA mass yield reported here is based on the (assumed) mass of
organic aerosol plus the (organo)nitrate aerosol formed in each plume. If
instead the yield were calculated using only the assumed increase in
organic mass (i.e., <inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> instead
of <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which would be consistent with the method used
in Rollins, et al. (2009)
and Brown et al. (2009), the mass yields would be two-thirds of the values reported here. However,
as
SOA mass yield is typically defined based on the total increase in aerosol
mass, we use the definition with the sum of the organic and nitrate mass
here. This results in an average SOA mass yield of 27 %, with propagated
instrumental errors (see caption to Fig. 5) giving a range of <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mn mathvariant="normal">27</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e7485">We note also that correlation of in-plume increases in OA with <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Fig. 6) point to a substantially larger 5 : 1 organic-to-nitrate ratio; if
this were interpreted as indicating that the average molecular formula of the
condensing organic nitrate has 5 times the organic mass as nitrate, this
would increase the SOA mass yields reported here. However, due to the
aforementioned possibility of additional sources of co-condensing organic
aerosol, which led us to avoid using <inline-formula><mml:math id="M509" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA in determining SOA yields,
we do not consider this to be a direct indication of the molecular formula of
the condensing organic nitrate. Including OA in the SOA yield determination,
based on this 5 : 1 slope rather than the assumed 2 : 1 OA : <inline-formula><mml:math id="M510" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, would
give 2.5 times larger SOA mass yields than reported here.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e7519">Correlation of organic aerosol mass concentration with
<inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass concentration for the full 2 July flight (grey points and
red fit line, fitted slope and thus average OA <inline-formula><mml:math id="M512" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass ratio of
<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>) and for the points during the selected plumes (colored points,
colored by plume age, average OA <inline-formula><mml:math id="M515" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">pRONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass ratio of <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f06.pdf"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e7599">Several caveats to the present SOA yields analysis are listed below,
alongside the expected direction each would adjust the estimated yields.
As we do not know whether or how much each process may have occurred in
the studied plumes, we cannot quantitatively assess the resulting
uncertainties, so we simply list them here. See text above for more detailed
discussion.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="199.169291pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="199.169291pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Process</oasis:entry>
         <oasis:entry colname="col2">Effect on determined SOA yield</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Organic nitrate aerosol loses <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> functional group</oasis:entry>
         <oasis:entry colname="col2">Larger, because the non-nitrate OA would not be counted in this analysis</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Both double bonds in isoprene are oxidized by <inline-formula><mml:math id="M519" 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>: two nitrates per condensing molecule</oasis:entry>
         <oasis:entry colname="col2">Smaller, because the assumed organic to nitrate mass ratio assumes one nitrate per molecule</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidizes daytime isoprene oxidation products (e.g., ISOPOOH) to make new aerosol</oasis:entry>
         <oasis:entry colname="col2">Smaller, because this would produce organic nitrate aerosol without corresponding decrease in isoprene, so that some of existing SOA production is misattributed to isoprene <inline-formula><mml:math id="M521" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Assumed organic to nitrate mass ratio is incorrect</oasis:entry>
         <oasis:entry colname="col2">Unknown direction of effect, depends on whether assumed ratio is high or low</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Daytime-produced IEPOX uptake onto acidic particles</oasis:entry>
         <oasis:entry colname="col2">No effect (only changes <inline-formula><mml:math id="M523" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA, not nitrate)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Suppression of <inline-formula><mml:math id="M524" 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="M525" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> monoterpene or <inline-formula><mml:math id="M526" 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="M527" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene SOA in plumes</oasis:entry>
         <oasis:entry colname="col2">No effect (only changes <inline-formula><mml:math id="M528" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>OA, not nitrate)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e7780">Finally, the large range in observed yields can be interpreted by examining
the relationship to estimated plume age. Using the slope of <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 1) to estimate plume age as described above, a weak positive
correlation is observed<?pagebreak page11675?> (Table 2, Fig. S4), suggesting that as the plume
ages, later-generation chemistry results in greater partitioning to the
condensed phase of <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M532" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene organonitrate aerosol products. This
is consistent with the observation by Rollins et al. (2009) that second-generation
oxidation produced substantially higher SOA yields than the oxidation of the
first double bond alone, but we note that these mass yields (averaging
27 %, would be 18 % using the organic mass only) are higher than even
the largest yield found in that chamber study (14 %, used organic mass
only).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e7826">Simulated peroxy radical concentration <bold>(a, d)</bold>,
loss rates <bold>(b, e)</bold>,
and lifetime <bold>(c, f)</bold>, using the MCM v3.3.1 chemical mechanism, for conditions
typical of a nighttime intercepted power plant plume <bold>(a–c)</bold> and the same plume
initial conditions run for daytime simulation (<bold>d–f</bold>, local noon occurs at 5 h). Included are total peroxy radical concentration and losses, as well as
the highlighted subclasses <inline-formula><mml:math id="M533" 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>, <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, total
nitrooxy-isoprene-<inline-formula><mml:math id="M535" 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> and the total hydroxy-isoprene-<inline-formula><mml:math id="M536" 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>
produced from OH oxidation. The righthand panels show <inline-formula><mml:math id="M537" 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>,
<inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the dominant hydroxy-isoprene-<inline-formula><mml:math id="M539" 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>
<inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ISOPBO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ISOPDO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M542" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydroxy-peroxy radicals from OH attack at carbons
1 and 4, respectively) lifetime on the left axis and
nitrooxy-isoprene-<inline-formula><mml:math id="M543" 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> on the right axis, showing nighttime lifetimes
an order of magnitude longer than daytime for this <inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M545" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene
derived <inline-formula><mml:math id="M546" 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> radical (<inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NISOPO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/11663/2018/acp-18-11663-2018-f07.png"/>

        </fig>

      <p id="d1e8020">We observe increasing SOA yield, from a molar yield of around 10 % at
1.5 h up to 30 % at 6 h of aging. The lowest yields observed are found
in the most recently emitted plumes, suggesting the interpretation of the
higher yields as a consequence of longer aging timescales in the atmosphere.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Mechanistic considerations</title>
      <p id="d1e8029">These larger SOA mass yields from field determinations (average 27 %)
relative to chamber work (12 %–14 %; see introduction) may arise for
several reasons. We first assess the volatility of assumed first- and
second-generation products using group contribution theory in order to
predict partitioning. After a single oxidation step, with a representative
product assumed to be a <inline-formula><mml:math id="M548" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hydroperoxynitrate, the saturation vapor
pressure estimated by group contribution theory (Pankow and Asher,
2008) at 283 K would be <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.10</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> Torr (saturation mass concentration <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M551" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M552" 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> for MW <inline-formula><mml:math id="M553" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 147 g mol<inline-formula><mml:math id="M554" 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>),
while a double-oxidized isoprene molecule (assuming a <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dihydroxy dinitrate) has an estimated vapor
pressure of <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.95</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> Torr (<inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.01</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M558" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M559" 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> for MW <inline-formula><mml:math id="M560" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 226 g mol<inline-formula><mml:math id="M561" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).
This supports the conclusion that while the first
oxidation step produces compounds too volatile to contribute appreciably to
aerosol formation, oxidizing both double bonds of the isoprene molecule is
sufficient to produce substantial partitioning, consistent with Rollins et
al. (2009). This is also
true if the second double bond is not oxidized by nitrate (group contribution
estimate <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">vap</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for a <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tri-hydroxy nitrate is <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> Torr,
<inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M566" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M567" 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> for MW <inline-formula><mml:math id="M568" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 181 g mol<inline-formula><mml:math id="M569" 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>). These
<inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> saturation concentration values suggest that no dimer formation or
oligomerization is required to produce low-enough volatility
products to condense to the aerosol phase; however, such oligomerization
would result in more efficient condensation. The fact that Rollins et al.
(Rollins et al., 2009) did not observe
larger mass yields may indicate that it takes longer than a typical chamber
experiment timescale to reach equilibrium, or that this absorptive
partitioning model did not accurately capture those experiments, or that
substantial loss of semivolatiles to the chamber walls (e.g., Krechmer et al., 2016) suppressed apparent yields.</p>
      <p id="d1e8310">Determination of yields from ambient atmospheric data differs from chamber
determinations in several additional respects. First, ambient measurements do
not suffer from wall loss effects, such that no corrections are necessary for
loss of aerosol or semi-volatile gases (Matsunaga and Ziemann,
2010; Krechmer et al., 2016). Second, ambient measurements take place on the
aging time scale of the atmosphere rather than a time scale imposed by the
characteristics of the chamber or the choice of oxidant addition. Third, the
typical lifetime of the initially produced nitrooxy-isoprene-<inline-formula><mml:math id="M571" 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>
radical is more representative of the ambient atmosphere rather than a
chamber. The unique conditions of a high <inline-formula><mml:math id="M572" 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> power plant
plume affect lifetime and fates of peroxy radicals, as described below.</p>
      <?pagebreak page11676?><p id="d1e8335">To help interpret these in-plume peroxy radical lifetimes, a box model
calculation using the MCM v3.3.1 chemistry scheme was run (see details in
the Supplement). This box model shows substantially longer peroxy
radical lifetimes during nighttime than daytime, initializing with identical
plume-observed conditions. These long peroxy radical lifetimes may have
consequences for comparison to chamber experiments: for example, in
Schwantes et al.'s (2015) chamber experiment
on the <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M574" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene reaction mechanism, the <inline-formula><mml:math id="M575" 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>-limited
nitrooxy-<inline-formula><mml:math id="M576" 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> lifetime was at maximum 30 s. In the plumes investigated
in this study, peroxy radical lifetimes are predicted to be substantially
longer (&gt; 200 s early in the night; see Fig. 7), allowing for the
possibility of different bimolecular fates, or of unimolecular
transformations of the peroxy radicals that may result in lower-volatility
products (e.g., auto-oxidation to form highly oxidized molecules  Ehn et
al., 2014).</p>
      <p id="d1e8378">The typically assumed major fate of nighttime <inline-formula><mml:math id="M577" 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> in the atmosphere
is reaction with <inline-formula><mml:math id="M578" 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 yield a hydroperoxide, <inline-formula><mml:math id="M579" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-ROOH. This
is shown in the model output above as the green reaction, and is responsible
for half of early <inline-formula><mml:math id="M580" 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> losses in the MCM modeled plume. Schwantes
et al. (2015) proposed
reaction of these nighttime derived hydroperoxides with OH during the
following day as a route to epoxides, which in turn can form SOA via reaction
with acidic aerosol. Reaction of hydroperoxides with nighttime generated OH
may similarly provide a route to SOA through epoxides, albeit more slowly
than that due to photochemically generated OH.</p>
      <p id="d1e8426">The predicted longer nighttime peroxy radical lifetimes may enable unique
chemistry. For example, if nitrooxy-isoprene-<inline-formula><mml:math id="M581" 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> self-reactions are
substantially faster than assumed in the MCM, as suggested by Schwantes
et al. (2015), <inline-formula><mml:math id="M582" 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:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions may compete with the <inline-formula><mml:math id="M583" 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> reaction even
more than shown in Fig. 7, and dimer formation may be favored at night,
yielding lower volatility products. The 5 : 1 AMS organic to nitrate ratio
observed in the SOA formed in Rollins et al. (2009), and consistent with
aggregated observations reported here, may suggest that in some isoprene
units the nitrate is rereleased as <inline-formula><mml:math id="M584" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in such oligomerization
reactions. We note that this larger organic to nitrate ratio would mean
higher SOA mass yields than estimated in Table 2.</p>
      <?pagebreak page11677?><p id="d1e8480">Alternatively, longer nighttime peroxy radical lifetimes may allow sufficient
time for intramolecular reactions to produce condensable products. This
unimolecular isomerization (auto-oxidation) of initially formed peroxy
radicals is a potentially efficient route to low-volatility, highly
functionalized products that could result in high aerosol yields. For
OH-initiated oxidation of isoprene, laboratory relative rate experiments
found the fastest 1,6-H-shift isomerization reaction to occur for the
hydroxy-isoprene-<inline-formula><mml:math id="M585" 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> radical at a rate of 0.002 s<inline-formula><mml:math id="M586" 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>
(Crounse et al., 2011), meaning that peroxy radicals must have
an ambient lifetime of &gt; 500 s for this process to be dominant. As
shown in Fig. 7, the simulated power plant plume peroxy radical lifetimes are
long (&gt; 200 s), so an isomerization reaction at this rate may play
a significant role. However, a recent study has demonstrated that
OH-initiated and <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-initiated <inline-formula><mml:math id="M588" 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> radicals from the same
precursor VOC can have very different unimolecular reactive fates due to
highly structurally sensitive varying rates of reactions of different product
channels  (Kurtén et al., 2017). A similar theoretical
study on the rate of unimolecular autooxidation reactions of
nitrooxy-isoprene-<inline-formula><mml:math id="M589" 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> radicals would be valuable to help determine
under what conditions such reactions might occur, and this knowledge could be
applied to comparing chamber and field SOA yields.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Atmospheric implications and needs for future work</title>
      <p id="d1e8545">As this paper proposes higher SOA yield for the <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M591" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene
reaction than measured in chamber studies, we conclude with some discussion
of the implications for regional aerosol burdens, and further needs for
investigation in the <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M593" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene system.</p>
      <p id="d1e8584">Using an isoprene <inline-formula><mml:math id="M594" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M595" 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> yield parameterization that gave a 12 %
SOA mass yield at 10 <inline-formula><mml:math id="M596" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M597" 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>, Pye et al. (2010) found that adding
the <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M599" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene oxidation pathway increased isoprene SOA mass
concentrations in the southeastern United States by about 30 %, increases
of 0.4 to 0.6 <inline-formula><mml:math id="M600" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M601" 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>. The larger <inline-formula><mml:math id="M602" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M603" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene SOA mass
yields suggested in this paper, with average value of 30 %, could double
this expected <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical enhancement of SOA production. Edwards et
al. (2017) concluded that the southeastern US is currently in transition
between <inline-formula><mml:math id="M605" 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>-independent and <inline-formula><mml:math id="M606" 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>-controlled
nighttime BVOC oxidation regime. If <inline-formula><mml:math id="M607" 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>-isoprene oxidation is a
larger aerosol source than currently understood, and if future
<inline-formula><mml:math id="M608" 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> reductions lead to a stronger sensitivity in nighttime
BVOC oxidation rates, regional SOA loadings could decrease by a substantial
fraction from the typical regional summertime OA loadings of
<inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M610" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M611" 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> (Saha et al., 2017).</p>
      <p id="d1e8768">Analysis of the degree of oxidation and chemical composition of <inline-formula><mml:math id="M612" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M613" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene
SOA would help to elucidate mechanistic reasons for the
different field and lab SOA yields. For example, the potential contribution
of the uptake of morning-after OH <inline-formula><mml:math id="M614" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NISOPOOH produced epoxides, discussed
above in Sect. 4.3, onto existing (acidic) aerosol could be quantified by
measurement of these intermediates or their products in the aerosol phase.
Assessment of degree of oxidation could help determine whether
auto-oxidation mechanisms are active. Future similar field studies would
benefit from the co-deployment of the complementary tool of a Chemical
Ionization Mass Spectrometer (CIMS) to detect <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M616" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> isoprene products
such as organic nitrates  (Slade et al., 2017; Lee et al., 2016). Due
to the potentially large effect on predicted SOA loading in regions of high
isoprene emissions, a better mechanistic understanding of these observed
yields is crucial.</p>
</sec>
</sec>

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

      <p id="d1e8819">All data is available at:
<uri>https://esrl.noaa.gov/csd/groups/csd7/measurements/2013senex/P3/DataDownload/</uri> (National Oceanic and Atmospheric Administration, 2018).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e8825">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-18-11663-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-18-11663-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e8834">JLF, SSB, and AMM conducted data analysis and wrote the paper. PME contributed
modeling and writing. DAD, PCJ, and JLJ contributed data analysis and
writing. Other co-authors contributed data.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e8840">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8846">Juliane L. Fry gratefully acknowledges funding from the EPA STAR Program (no.
RD-83539901) and from the Fulbright US Scholars Program in the
Netherlands. Pedro Campuzano-Jost, Douglas A. Day and José L. Jimenez were partially supported by EPA STAR
83587701-0 and DOE (BER/ASR) DE-SC0016559. This paper has not been formally
reviewed by the EPA. The views expressed in this document are solely those of
the authors, and do not necessarily reflect those of the EPA. The EPA does not
endorse any products or commercial services mentioned in this publication.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Jason Surratt <?xmltex \hack{\newline}?>
Reviewed by:  Thomas Mentel and two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Secondary organic aerosol (SOA) yields from NO<sub>3</sub> radical + isoprene based on nighttime aircraft power plant plume transects</article-title-html>
<abstract-html><p>Nighttime reaction of nitrate radicals (NO<sub>3</sub>) with biogenic volatile
organic compounds (BVOC) has been proposed as a potentially important but
also highly uncertain source of secondary organic aerosol (SOA). The
southeastern United States has both high BVOC and nitrogen oxide
(NO<sub><i>x</i></sub>) emissions, resulting in a large model-predicted
NO<sub>3</sub>-BVOC source of SOA. Coal-fired power plants in this region
constitute substantial NO<sub><i>x</i></sub> emissions point sources into a
nighttime atmosphere characterized by high regionally widespread
concentrations of isoprene. In this paper, we exploit nighttime aircraft
observations of these power plant plumes, in which NO<sub>3</sub> radicals
rapidly remove isoprene, to obtain field-based estimates of the secondary
organic aerosol yield from NO<sub>3</sub>&thinsp;+&thinsp;isoprene. Observed in-plume
increases in nitrate aerosol are consistent with organic nitrate aerosol
production from NO<sub>3</sub>&thinsp;+&thinsp;isoprene, and these are used to determine
molar SOA yields, for which the average over nine plumes is 9&thinsp;% (±5&thinsp;%). Corresponding mass yields depend on the assumed molecular formula
for isoprene-NO<sub>3</sub>-SOA, but the average over nine plumes is 27&thinsp;%
(±14&thinsp;%), on average larger than those previously measured in chamber
studies (12&thinsp;%–14&thinsp;% mass yield as ΔOA&thinsp;∕&thinsp;ΔVOC after
oxidation of both double bonds). Yields are larger for longer plume ages.
This suggests that ambient aging processes lead more effectively to
condensable material than typical chamber conditions allow. We discuss
potential mechanistic explanations for this difference, including longer
ambient peroxy radical lifetimes and heterogeneous reactions of
NO<sub>3</sub>-isoprene gas phase products. More in-depth studies are needed to
better understand the aerosol yield and oxidation mechanism of NO<sub>3</sub>
radical&thinsp;+&thinsp;isoprene, a coupled anthropogenic–biogenic source of SOA that
may be regionally significant.</p></abstract-html>
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