<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-21-2959-2021</article-id><title-group><article-title>Organosulfates in atmospheric aerosols in Shanghai, China: seasonal and
interannual variability, origin,<?xmltex \hack{\break}?> and formation mechanisms</article-title><alt-title>Organosulfates in atmospheric aerosols in Shanghai, China</alt-title>
      </title-group><?xmltex \runningtitle{Organosulfates in atmospheric aerosols in Shanghai, China}?><?xmltex \runningauthor{Y.~Wang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Yao</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8070-1138</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Zhao</surname><given-names>Yue</given-names></name>
          <email>yuezhao20@sjtu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0003-1157-5101</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wang</surname><given-names>Yuchen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Yu</surname><given-names>Jian-Zhen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6165-6500</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Shao</surname><given-names>Jingyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liu</surname><given-names>Ping</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhu</surname><given-names>Wenfei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cheng</surname><given-names>Zhen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Ziyue</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9101-7737</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Yan</surname><given-names>Naiqiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xiao</surname><given-names>Huayun</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Environmental Science and Engineering, Shanghai Jiao Tong
University, Shanghai 200240, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Shanghai Institute of Pollution Control and Ecological Security,
Shanghai 200092, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Division of Environment &amp; Sustainability, Hong Kong University of
Science &amp; Technology, Hong Kong SAR, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Chemistry, Hong Kong University of Science &amp;
Technology, Hong Kong SAR, China
</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>College of Flight Technology, Civil Aviation University of China,
Tianjin 300300, China
</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yue Zhao (yuezhao20@sjtu.edu.cn)</corresp></author-notes><pub-date><day>26</day><month>February</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>4</issue>
      <fpage>2959</fpage><lpage>2980</lpage>
      <history>
        <date date-type="received"><day>27</day><month>July</month><year>2020</year></date>
           <date date-type="rev-request"><day>14</day><month>September</month><year>2020</year></date>
           <date date-type="rev-recd"><day>22</day><month>January</month><year>2021</year></date>
           <date date-type="accepted"><day>25</day><month>January</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e201">Organosulfates (OSs) are ubiquitous in the atmosphere and serve as important
tracers for secondary organic aerosols (SOAs). Despite intense research over
the years, the abundance, origin, and formation mechanisms of OSs in ambient
aerosols, particularly in regions with severe anthropogenic pollution, are
still not well understood. In this study, we collected filter samples of
ambient fine particulate matter (PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) over four seasons in both
2015–2016 and 2018–2019 at an urban site in Shanghai, China, and
comprehensively characterized the OS species in these PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples
using an ultra-performance liquid chromatography quadrupole time-of-flight
mass spectrometer equipped with an electrospray ionization (ESI) source
(UPLC-ESI-QToFMS). Overall, we find that while the concentration of organic aerosols
(OAs) decreased by 29 % in 2018–2019 compared to that in 2015–2016, mainly
as a result of the reduction of anthropogenic pollutant emissions in eastern
China, the annually averaged concentrations of 35 quantified OSs were similar in both years (65.5 <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 77.5 ng m<inline-formula><mml:math id="M4" 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>, 0.57 % <inline-formula><mml:math id="M5" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56 % of OA in 2015–2016 vs. 59.4 <inline-formula><mml:math id="M6" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 79.7 ng m<inline-formula><mml:math id="M7" 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>,
0.66 % <inline-formula><mml:math id="M8" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56 % of OA in 2018–2019), suggesting an increased
contribution of SOAs to OAs in 2018–2019 compared to 2015–2016. Isoprene- and
monoterpene-derived OSs were the two most abundant OS families, on average,
accounting for 36.3 % and 31.0 % of the quantified OS concentrations,
respectively, during both sampling years, suggesting an important
contribution of biogenic emissions to the production of OSs and SOAs in
Shanghai. The abundance of biogenic OSs, particularly those arising from
isoprene, exhibited strong seasonality (peaked in summer) but no significant
interannual variability. In contrast, the quantified anthropogenic OSs had
little seasonal variability and declined in 2018–2019 compared with those in
2015–2016. The C<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS species that have both biogenic and
anthropogenic origins contributed, on average, 19.0 % of the quantified
OSs, with C<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and
C<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> being the most abundant species, together
accounting for 76 % of the C<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS concentrations in 2015–2016
and 2018–2019. 2-Methyltetrol sulfate (2-MTS,
C<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) and monoterpene-derived
C<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> were the most abundant OSs and nitrooxy OSs in
summer, on average, contributing 31 % and 5 % of the quantified OSs,
respectively, during the summertime of the sampling years. The substantially
larger concentration ratio of 2-MTS to 2-methylglyceric acid sulfate
(2-MAS, C<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) in summer (6.8–7.8) compared to the other
seasons (0.31–0.78) implies that low-NO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> oxidation pathways played a
dominant role in isoprene-derived SOA formation in summer, while
high-NO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reaction pathways were more important in other seasons. We
further find that the production of OSs was largely controlled by the level
of O<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> O<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), namely the photochemistry of
OS precursors, particularly in summer, though sulfate concentration,
aerosol acidity, and aerosol liquid water content (ALWC) that could
affect the heterogeneous chemistry of reactive intermediates leading to<?pagebreak page2960?> OS
formation also played a role. Our study provides valuable insights into the
characteristics and mechanisms of OS formation in a typical Chinese megacity
and implies that the mitigation of O<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> pollution can effectively reduce the
production of OSs and SOAs in eastern China.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e611">Secondary organic aerosols (SOAs) account for a significant fraction of
atmospheric fine particulate matter (PM<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>)  (Jimenez et al., 2009;
Huang et al., 2014) and contribute significantly to deteriorated air
quality and Earth's climate forcing  (Ramanathan et al., 2001; Mahowald,
2011; Shrivastava et al., 2017; Huang et al., 2014). SOAs consist of
thousands of organic compounds that are diverse in molecular properties.
Identification and quantification of the composition of SOAs are essential
for understanding their composition, their chemistry of formation and evolution,
their properties, and their climate and health impacts (Hoffmann et al., 2011;
Nozière et al., 2015). However, currently only a small portion of
organic matter in SOAs is identified as specific compounds  (Hoffmann et
al., 2011; Nozière et al., 2015; Johnston and Kerecman, 2019).
Organosulfates (OSs) are important constituents of SOAs and have been
frequently detected in both polluted and clean environments (Iinuma et
al., 2007a; Surratt et al., 2008; Claeys et al., 2010; Froyd et al., 2010;
Hawkins et al., 2010; Hatch et al., 2011; P. Lin et al., 2012; Stone et al.,
2012; Hansen et al., 2014; He et al., 2014; Ma et al., 2014; Tao et al.,
2014; Liao et al., 2015; Shakya and Peltier, 2015; Kourtchev et al., 2016;
Meade et al., 2016; X. K. Wang et al., 2016; Hettiyadura et al., 2017; Huang et
al., 2018; Le Breton et al., 2018; Wang et al., 2018; Hettiyadura et al.,
2019; K. Wang et al., 2019; Brüggemann et al., 2020). It has been
estimated that OSs account for 6 %–12 % of total sulfur in a rural area in
K-puszta, Hungary  (Lukacs et al., 2009), 1.3 % of fine
particulate organic mass (FPOM) in Fairbanks, Alaska    (Shakya and
Peltier, 2013), and 1 %–13 % of FPOM across the continental United States
(Tolocka and Turpin, 2012; Shakya and Peltier, 2015). Studies have also
shown that OSs can affect aerosol properties such as acidity, viscosity,
hygroscopicity, and light absorption  (Nguyen et al., 2012;
Hansen et al., 2015; Estillore et al., 2016; DeRieux et al., 2018; Fleming
et al., 2019; Riva et al., 2019; Olson et al., 2019).</p>
      <p id="d1e623">Chamber studies have revealed that OSs can originate from the
(photo)oxidation of both biogenic precursors, such as isoprene
(Gómez-González et al., 2008; Surratt et al., 2007b, a), monoterpenes  (Iinuma et al., 2007a; Surratt et al., 2007a, 2008; Iinuma et al., 2007b, 2009),
sesquiterpenes  (Chan et al., 2011), and
2-methyl-3-buten-2-ol  (Zhang et al., 2012), as well as anthropogenic
precursors such as polycyclic aromatic hydrocarbons, long-chain alkanes,
naphthenes  (Riva et al., 2015, 2016b), and diesel and
biodiesel fuel vapors  (Blair et al.,
2017) in the presence of sulfate aerosol or SO<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Many of the OSs
observed in these chamber studies have also been detected in the ambient
atmosphere, among which isoprene- and monoterpene-derived OSs are usually
most abundant in forested, rural, and even urban areas  (Stone et al.,
2012; Ma et al., 2014; Meade et al., 2016; Hettiyadura et al., 2019;
Kourtchev et al., 2016; Kristensen and Glasius, 2011; K. Wang et al., 2019; He
et al., 2014; Hatch et al., 2011; Surratt et al., 2008; Hettiyadura et al.,
2017).</p>
      <p id="d1e635">In addition to the precursors, detailed formation mechanisms of OSs have been widely studied (Brüggemann et al., 2020). The acid-catalyzed
ring-opening reaction of epoxides was established to be an important
mechanism for the formation of OSs  (Surratt et al., 2010; Y. H. Lin et al.,
2012; Iinuma et al., 2009; Zhang et al., 2014), in particular for
isoprene-derived OSs  (Surratt et al., 2010; Y. H. Lin et al., 2012; Hatch et
al., 2011). 2-Methyltetrol sulfate (2-MTS, C<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>),
formed via reactive uptake of isoprene epoxide (IEPOX) on sulfate, is one of
the most abundant OSs in atmospheric aerosol  (Chan et al., 2010; Liao et
al., 2015) and can contribute up to 12.6 % of the organic carbon mass in
Atlanta, GA  (Hettiyadura et al., 2019). Another OS formation
pathway is the nucleophilic substitution of tertiary organonitrates by
inorganic sulfate. Darer et al. (2011) found that
tertiary organonitrates are thermodynamically unstable and can undergo
nucleophilic substitution with sulfate to rapidly generate OSs. This
mechanism can also explain the formation of some nitrooxy OSs (NOSs). In the
atmospheric aqueous phase, sulfate radicals that can be produced by the
oxidation of S(IV) species in the presence of transition metal ions (TMIs)
(Grgic et al., 1998; Herrmann, 2003) or by the OH radical reaction with
bisulfate  (Herrmann, 2003; Jiang et al., 1992) can also react with
unsaturated organic compounds to form OSs. Laboratory studies have shown that
a large number of OSs were produced by the bulk aqueous-phase oxidation of
aromatic compounds, isoprene, or the products of isoprene oxidation (methyl vinyl ketone
(MVK) and methacrolein (MACR)) in the presence of inorganic sulfate or
peroxodisulfate under irradiation  (Nozière et al., 2010; Schindelka
et al., 2013; Huang et al., 2020) or in the presence of S(IV) and TMIs under
dark conditions    (Huang et al., 2019). However, field
observational evidence for this mechanism is still lacking. In addition,
reactive uptake of SO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on organic aerosol can result in the
production of OSs. Laboratory studies have found that sulfur dioxide
(SO<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) could react with the C<inline-formula><mml:math id="M52" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula>C bond in unsaturated fatty acids under
dark conditions to form OSs  (Shang et al., 2016). Such OSs have
been detected in the ambient atmosphere with an estimated contribution of
0.3 ‰–0.9 ‰ to the organic mass (OM) in
PM<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in southern China  (Zhu et al., 2019). Recent studies
have also shown efficient production of OSs from heterogeneous and aqueous-phase reactions of SO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with organic peroxide-containing aerosols and SOAs
(S. Y. Wang et al., 2019; Yao et al., 2019). Such OS production was found to
be mainly a result of the direct reaction between SO<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and<?pagebreak page2961?> peroxides,
rather than an acid-catalyzed reaction involving inorganic sulfate
(S. Y. Wang et al., 2019). Currently, the
acid-catalyzed ring-opening reaction of IEPOX has been the most well-studied
mechanism and proved to be important in atmospheric OS formation by both
field and modeling studies  (Surratt et al., 2010; Kourtchev et al.,
2016; Hettiyadura et al., 2019; Hatch et al., 2011; Chan et al., 2010;
McNeill et al., 2012; Worton et al., 2013; He et al., 2018; Pye et al.,
2013). However, the atmospheric importance of other OS formation mechanisms
remains to be evaluated.</p>
      <p id="d1e727">The aforementioned OS formation pathways can be affected by aerosol
properties such as acidity, aerosol liquid water content (ALWC), and sulfate
concentration. There is ample evidence from laboratory studies that
increased aerosol acidity significantly enhances the production of OSs from
acid-catalyzed reactions  (Iinuma et al., 2007b; Chan et al., 2011;
Surratt et al., 2007a, b; Zhang et al., 2012), while
field studies have shown that the abundance of OSs was not or only weakly
correlated with aerosol acidity in some locations  (Nguyen et al., 2014;
Budisulistiorini et al., 2015; Brüggemann et al., 2017; Rattanavaraha et
al., 2016), suggesting the existence of other factors (e.g., ALWC, sulfate
content) that control OS formation in these areas. ALWC has dual
effects on OS formation. On one hand, elevated ALWC can reduce the viscosity
and/or inhibit the liquid–liquid phase separation of aerosols, which would
favor the dissolution and mixing of reactive intermediates such as IEPOX and
multifunctional aldehydes in aqueous sulfate aerosols  (Shiraiwa et al.,
2011; Liao et al., 2015; McNeill et al., 2012) or SO<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in organic
aerosols  (Shang et al., 2016; Passananti et al., 2016; Yao et al., 2019),
thereby enhancing OS formation. On the other hand, high ALWC would decrease
aerosol acidity via dilution, hence inhibiting acid-catalyzed OS
formation. High ALWC may also promote the hydrolysis of OSs in aqueous
aerosols    (Darer et al., 2011).</p>
      <p id="d1e740">Quantification of OSs is important for understanding their abundance and the
chemistry of formation and evolution in the atmosphere. Owing to the lack of
authentic standards, the quantification of OSs remains a challenging task.
Recently, several research groups have synthesized a series of authentic
standards (e.g., glycolic acid sulfate, lactic acid sulfate, hydroxyacetone
sulfate, 2-methyltetrol sulfate, benzyl sulfate, <inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene sulfate,
<inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene sulfate, and limonene sulfate) that are structurally the
same as or similar to the OSs found in atmospheric aerosols  (Kundu et al.,
2013; Staudt et al., 2014; Hettiyadura et al., 2015; Wang et al., 2017;
Olson et al., 2011; Huang et al., 2018; Budisulistiorini et al., 2015). They
used these authentic standards to quantify OSs in ambient aerosols and
provided important constraints on the abundance, origin, and chemistry of OSs
in the atmosphere.</p>
      <p id="d1e757">Currently, there are few studies characterizing atmospheric OSs in areas with
severe anthropogenic pollution. Situated in the eastern Yangtze River Delta
(YRD) of China, Shanghai has a population of more than 24 million and is
plagued by air pollution  (Behera et al., 2015; H. L. Wang et al., 2016). Here,
we conducted a comprehensive investigation of the molecular composition,
abundance, sources, and formation processes of OSs in ambient aerosols in
Shanghai. More than 150 ambient PM<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples collected over four
seasons during both 2015–2016 and 2018–2019 in urban Shanghai were analyzed
using an ultra-performance liquid chromatography quadrupole time-of-flight
mass spectrometer equipped with an electrospray ionization (ESI) source
(UPLC-ESI-QToFMS) and 35 OSs were quantified using seven synthesized and
commercially purchased OS standards. Seasonal and interannual variations of
OSs, in response to the changes in emissions, meteorological conditions, and
PM<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chemical compositions, were comprehensively characterized and
the influencing factors such as aerosol acidity, ALWC, sulfate content, and
oxidant level for OS formation were investigated. This study will
help us understand the characteristics and mechanisms of OS and SOA
production under the strong influence of anthropogenic pollution in Chinese
megacities.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Ambient sample collection</title>
      <p id="d1e793">In total, 156 ambient PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples were collected from 8 April 2015 to
16 January 2016 and from 23 October 2018 to 5 August 2019 in Shanghai,
China. The sampling site is located on the rooftop of a 20 m tall
teaching building on the Xuhui Campus of Shanghai Jiao Tong University at
31.201<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 121.429<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, which is downtown and surrounded by
residential and commercial areas (see Fig. 1a, b). There is a main street
230 m east of the sampling site. The PM<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples were collected on
pre-baked (550 <inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, 8 h) quartz-fiber filters (Whatman) from 09:00
to 08:00 of the next day using a high-volume sampler (HiVol 3000, Ecotech)
at a flow rate of 67.8 m<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The collected samples were wrapped
in pre-baked (550 <inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, 8 h) aluminum foil and stored at <inline-formula><mml:math id="M69" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C before analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e890"><bold>(a)</bold> Map of Shanghai. <bold>(b)</bold> Map of the sampling
site on the Xuhui Campus of Shanghai Jiao Tong University in downtown Shanghai at
31.201<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 121.429<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. <bold>(c)</bold> Map of the PM<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sampling
site, the meteorological station at Shanghai Hongqiao international airport,
the air quality monitoring station at Shanghai Normal University, and the
distances between them.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Organosulfate measurements with UPLC-ESI-QToFMS</title>
      <p id="d1e942">An aliquot of <inline-formula><mml:math id="M74" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 17 cm<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> was removed from each filter
sample and extracted in 3 mL of methanol (LC-MS grade, CNW Technologies
GmbH) twice under sonication in an ice bath at 4<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 30 min. The extracts derived each time were
combined and filtered through a 0.45 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> polytetrafluoroethylene
(PTFE) syringe filter (CNW Technologies GmbH) to remove insoluble materials
and subsequently concentrated to 250 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> with a gentle stream of
ultra-high-purity nitrogen (Shanghai Likang Gas Co., Ltd). The resulting
extracts were mixed with ultrapure water (milliQ, 18.2 M<inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="normal">Ω</mml:mi></mml:math></inline-formula> cm) of the same volume and centrifuged at 12 000 rpm and 4 <inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 20 min using a centrifuge (Cence, TGL-16M) to
get the supernatant for analysis.</p>
      <?pagebreak page2962?><p id="d1e1007">The resulting solutions were analyzed using an Acquity UPLC (Waters) coupled
to a Xevo G2-XS QToF-MS (Waters) having a mass resolving power of <inline-formula><mml:math id="M81" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 40 000 and equipped with an ESI source. The analytes were separated by an
ethylene-bridged hybrid (BEH) C<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msub></mml:math></inline-formula> column (2.1 <inline-formula><mml:math id="M83" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 100 mm, 1.7 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> particle size, Waters) at 50 <inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. A gradient elution
procedure was performed using water (A) and methanol (B), both containing
0.1 % acetic acid (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) as the eluents. A was maintained at 99 % for 1.5
min, decreased to 46 % in 6.5 min and to 5 % in 3 min, then decreased to
1 % in 1 min and, after being held for 2 min, finally returned to 99 % in 0.5 min and
held for 1.5 min to equilibrate the column. The total eluent flow rate was
0.33 mL min<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the sample injection volume was 2.0 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>. The ESI
source was operated in the negative ion mode under optimum conditions as
follows: capillary voltage 2.0 kV, sampling cone voltage 40 V, source offset
voltage 80 V, source temperature 115 <inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, desolvation gas
temperature 450 <inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, cone gas flow 50 L h<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and desolvation gas flow 900 L h<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e1130">The quantified OSs as well as the authentic and surrogate standards used for
the quantification of each OS are listed in Table 1. The OS standards were mainly
selected by referring to Hettiyadura et al. (2019), which
is based upon a comparison of the tandem mass spectrometry (MS/MS) pattern
between authentic standards and targeted OSs in ambient aerosols, as well as
to Wang et al. (2018). Glycolic acid sulfate (GAS,
C<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) and lactic acid sulfate (LAS,
C<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) were synthesized according to Olson et al. (2011). Because LAS and GAS are too small in
molecular size, we could not find a promising stain to use thin layer
chromatography (TLC) on silica gel to purify them. Instead, we employed
<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>H NMR and an internal standard (dichloroacetic acid) to determine
their purities (8 % for GAS and 15 % for LAS). Limonaketone sulfate
(C<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) and <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene sulfate
(C<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) were synthesized as described
in Wang et al. (2017). Other OS standards
including sodium methyl sulfate (CH<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, 99 %, Macklin),
sodium octyl sulfate (C<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, 95 %, Sigma-Aldrich),
and potassium phenyl sulfate (C<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, 98 %, Tokyo
Chemical Industry, Shanghai) were commercially purchased. The MS/MS
measurement of quantified OSs were also performed at a collision energy of
10–50 eV to confirm whether they are OSs by the sulfur-containing fragment ions
observed. In this study, most quantified OSs were fragmented to the bisulfate
anion (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 97) and several quantified OSs were only fragmented to the sulfate
radical anion (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 96) and the sulfate radical anion (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 80) (see Fig. S1 in the Supplement).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Table}?><label>Table 1</label><caption><p id="d1e1437">Organosulfates (in ng m<inline-formula><mml:math id="M125" 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>) quantified by
UPLC-ESI-QToFMS.</p></caption>
  <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-t01-part01.png"/>
</table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Table}?><label>Table 1</label><caption><p id="d1e1460">Continued.</p></caption>
  <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-t01-part02.png"/>
<table-wrap-foot><p id="d1e1463"><inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Retention times of each OS isomer considered in the quantification. a Schindelka
et al. (2013). b Shalamzari et al. (2013). c Riva et al. (2016a). d Hettiyadura et al. (2015). e Surratt et al. (2010). f Nozière
et al. (2010). g Surratt et al. (2007a). h Nestorowicz et al. (2018) i. Yassine et al. (2012). j Wang et
al. (2017). k Surratt et al. (2008). l Huang et al. (2018). m Olson
et al. (2011). n Hettiyadura et al. (2019).</p></table-wrap-foot></table-wrap>

</sec>
<?pagebreak page2964?><sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Auxiliary measurements</title>
      <?pagebreak page2965?><p id="d1e1487">Meteorological parameters, including temperature, relative humidity (RH),
and wind speed (WS), were continuously monitored by the Shanghai Hongqiao
international airport station, which is 9 km west of the sampling site (Fig. 1c). The concentrations of SO<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, nitrogen dioxide (NO<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), O<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
and PM<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were measured by a state-controlled air quality monitoring
station on the Xuhui Campus of Shanghai Normal University, which is 4.5 km
southwest of the sampling site for the PM<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> filter samples (Fig. 1c).
Organic carbon (OC) and elemental carbon (EC) in PM<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> filter samples
were measured by a thermal–optical multiwavelength carbon analyzer (DRI
Model 2015). The concentration of OM was derived by multiplying the OC by
1.6   (Tao et al., 2017). Water-soluble inorganic compounds including
sulfate, nitrate, chloride, ammonium, potassium, and calcium were determined
with an ion chromatograph (Metrohm MIC). The seasonal and annual average
values of meteorological parameters and concentrations of trace gases,
PM<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>'s major components in 2015–2016 and 2018–2019 are listed in
Table S1 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Estimation of aerosol liquid water content and pH</title>
      <p id="d1e1571">The ISORROPIA-II thermodynamic model (Fountoukis and Nenes,
2007) was employed to predict ALWC and aerosol pH. The aerosol water-soluble
inorganic ion concentrations, as well as temperature and RH, were used as the
model input. The model was run in the forward mode for metastable aerosols,
which was shown to give a more accurate representation of aerosol pH than
by using the reverse-mode calculations with only aerosol data input
(Guo et al., 2015; Hennigan et al., 2015). ISORROPIA-II calculates the
equilibrium concentration of aerosol hydronium ions (H<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">air</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) per
volume of air (<inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) along with ALWC (<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><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:math></inline-formula>). The
aerosol pH was then derived by
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M138" display="block"><mml:mrow><mml:mi mathvariant="normal">pH</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">log</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">log</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:msubsup><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">air</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">ALWC</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where H<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is the concentration of hydronium ions in aqueous
aerosol (mol L<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). In this study, ALWC associated with organic aerosols
and its influences on aerosol pH were not considered. However, previous
studies showed that water uptake by organic aerosol only contributed a
minor fraction (5 %) to the total ALWC and had a negligible influence on
aerosol pH in haze events in China  (Liu et al.,
2017). The seasonally and annually averaged ALWC and aerosol pH levels in
2015–2016 and 2018–2019 are also given in Table S1 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Quality control</title>
      <p id="d1e1709">The extraction efficiency of OS species in filter samples was evaluated by
measuring the recovery of 10 different OS standards (see Table S2 in the Supplement). The
synthesized and commercially purchased OS standards were spiked into blank
and pre-baked quartz filters then extracted and analyzed with the
same procedures for the ambient samples. The recoveries of OS standards were
about 84 %–94 % except for <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>-carene OS, lactic acid sulfate, and
glycolic acid sulfate, the recoveries of which were 66 %, 72.5 %, and
77.8 %, respectively (see Table S2 in the Supplement). This result suggests a fairly high
extraction efficiency for the majority of OS species in this study.</p>
      <p id="d1e1719">In addition, we evaluated the matrix effect on the signal response of OSs by
comparing the measured signal intensity of OS standards added to the
extracts of ambient PM<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> filter samples with that of pure OS standard
solutions. Table S3 in the Supplement gives the ratios of measured signal intensity of OS
standards in filter sample extracts to those in pure solutions. As for the
standards that were already present in the samples, we subtracted the
response in the sample from the total (sample <inline-formula><mml:math id="M143" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> standard) before
calculating the ratio. Most of the OS standards had a ratio of around 1,
suggesting no obvious matrix effect on the measurement of the majority of OS
species. However, the two smallest OS standards, methyl sulfate and glycolic
acid sulfate, which were the very first species eluted from the LC column, had
a ratio significantly smaller than 1, suggesting the inhibited ionization of
these two OSs likely by the highly soluble and polar species in the filter
samples that were co-eluted with these two OSs. We note that the matrix
effect for these two OSs is dependent on the PM<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass loading. For
example, the signal ratio of glycolic acid sulfate standard measured in
filter sample extracts vs. pure solutions ranged from 0.17–0.31 (Table S3, Exps.
1–2) for very polluted days to 0.45–0.53 for clean days (Table S3, Exps. 3–4). This
implies that the abundance of glycolic acid sulfate in ambient aerosols
reported here may be underestimated by a factor of 2–6 due to the matrix
effect.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Overview of pollution characteristics during sampling periods</title>
      <p id="d1e1763">Figure 2 shows the time series of meteorological parameters O<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>,
NO<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and PM<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>'s  major components as well as
H<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and ALWC during the sampling periods. The average values
(concentrations) of each parameter (species) are given in Table S1 in the Supplement. Overall, the
meteorological conditions (wind speed, temperature, and RH) were
similar in 2015–2016 and 2018–2019. While the NO<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration
decreased from 27.0 <inline-formula><mml:math id="M152" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.0 ppb in 2015–2016 to 21.3 <inline-formula><mml:math id="M153" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.3 ppb in
2018–2019, the O<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> level had no obvious difference between the two years
(29.8 <inline-formula><mml:math id="M155" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.2 ppb in 2015–2016 vs. 29.6 <inline-formula><mml:math id="M156" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.9 ppb in
2018–2019), consistent with the nonlinear response of O<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production to
precursor emissions   (Liu and Wang, 2020). The annual average mass
loading of PM<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> declined by 34.5 % in 2018–2019 (38.6 <inline-formula><mml:math id="M159" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24.0 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><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:math></inline-formula>) compared to that in 2015–2016 (59.0 <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 37.9 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), largely driven by the strong decrease in the abundance of OM
(29.1 %) and sulfate (37.4 %). The decrease of PM<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, OM, and
sulfate concentrations from 2015–2016 to 2018–2019 reflects a significant
reduction in anthropogenic pollutant emissions in eastern China in recent
years. In contrast to OM and sulfate, the concentration of nitrate showed
little change between 2015–2016 (8.8 <inline-formula><mml:math id="M164" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.9 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><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:math></inline-formula>) and
2018–2019 (8.4 <inline-formula><mml:math id="M166" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.8 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), despite an obvious decrease in
NO<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration. This is at least partly a result of reduced aerosol
acidity (H<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; see Fig. 2 and Table S1 in the Supplement) and thereby enhanced
partitioning of HNO<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> into the particle phase. Furthermore, the nitrate
concentration showed a strong seasonality, ranging from 1.0 <inline-formula><mml:math id="M171" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 and
3.4 <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.2 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in summer to 16.6 <inline-formula><mml:math id="M174" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.0 and
14.1 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.0 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in winter in 2015–2016 and 2018–2019,
respectively, partly owing to the seasonal variation of temperature and
aerosol acidity that modulates the gas–particle partitioning of nitrate
(Fisseha et al., 2006; Guo et al., 2015;<?pagebreak page2966?> Griffith et al., 2015; Guo et
al., 2016). A similar strong reduction in PM<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration and
variations in aerosol composition over the past several years were observed
in different regions in China  (Tao et al., 2017; J. J. Wang et al., 2020; A. Ding
et al., 2019; Wen et al., 2018). As a result of strong reductions in
inorganic ion concentrations, ALWC decreased dramatically in 2018–2019
(14.8 <inline-formula><mml:math id="M178" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20.4 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><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:math></inline-formula>) compared to that in 2015–2016
(24.4 <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 27.0 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><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:math></inline-formula>). In short, anthropogenic pollutant
emissions, as well as aerosol concentration and composition, varied
significantly between 2015–2016 and 2018–2019 in Shanghai, which, as will be
discussed below, has important implications for the production of OSs in
ambient aerosols.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2165">Time series of temperature, relative humidity (RH), wind
speed, O<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, aerosol liquid water content (ALWC) and
liquid [H<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>]; concentrations of particulate organic matter (OM),
elemental carbon (EC), sulfate, nitrate, chloride, ammonium; and the
abundance of OSs and their contribution to OM in 2015–2016 and 2018–2019 in
Shanghai.
</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Molecular composition of sulfur-containing organic compounds</title>
      <p id="d1e2218">The organic compounds in ambient PM<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> identified using
UPLC-ESI-QToFMS were classified into four groups based on their
elemental composition: CHO, CHON, CHOS, and CHONS. Figure 3a and b
show the average mass spectra of organic compounds in PM<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over a
typical winter (21–26 January 2019) and summer (23–28 July 2019) pollution
episode. Overall, the sulfur-containing compounds were larger in molecular size
than the CHO and CHON compounds, likely because of the addition of a sulfate
group to the molecule. The molecular weight (MW) of most sulfur-containing
compounds was between 100–400 Da and for a few between 400–700 Da. The
high-MW CHOS species (400–700 Da; see Table S4 in the Supplement) showed a larger contribution
in winter than in summer, suggesting that they are more likely to arise from
anthropogenic sources than biogenic emissions. Figure 3c shows the signal
contribution of different compound categories as well as concentrations of
sulfate, OM, and quantified OSs; Fig. 3d, e shows the number of
identified organic compounds in each category during two pollution episodes.
The CHOS compounds contributed most in terms of signal and number to the observed
organic compounds in both winter and summer. The signal contributions and
number of unquantified CHOS and CHONS did not vary significantly from winter
to summer, whereas the signal contribution of quantified CHOS and CHONS
species was significantly larger in summer than in winter (on average 15 %
vs. 7 % for CHOS and 11 % vs. 7 % for CHONS). As will be discussed
later, the abundance of quantified anthropogenic OSs was fairly constant
across different seasons, in striking contrast to that of biogenic OSs, which
showed strong seasonal variability. Therefore, a lack of seasonal variability
for unquantified CHOS and CHONS implies that they may originate mainly from
anthropogenic sources. In addition, both signal intensity and the number of
CHO species increased significantly in summer, compared to those in winter.
In contrast, CHON compounds contributed substantially more to the observed
signals in winter than in summer (on average 25 % vs. 7 %), though their
numbers are quite similar during the two periods. This suggests an enhanced
production and/or suppressed depletion of nitrogen-containing organic
species in winter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2241">Average mass spectra of detected compounds in ambient
aerosols during typical <bold>(a)</bold> wintertime (21–26 January 2019)
and <bold>(b)</bold> summertime (23–28 July 2019) pollution episodes in
Shanghai. The detected compounds were classified into six categories:
CHO, CHON, CHOS, CHONS, quantified NOS, and quantified OSs. The CHOS and
CHONS categories excluded quantified OSs and NOSs, respectively. <bold>(c)</bold> Intensity fraction of different compound categories as well as the time
series of OM, SO<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, and OS concentrations during two pollution
episodes in 2019. <bold>(d, e)</bold> Number of compounds detected in each
category during the pollution episodes in winter and summer, respectively.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-f03.png"/>

        </fig>

      <p id="d1e2277">The CHOS compounds with an O <inline-formula><mml:math id="M189" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> S ratio of <inline-formula><mml:math id="M190" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 4 were assigned as potential
OS species. Similarly, the CHONS compounds with an O <inline-formula><mml:math id="M191" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> (N<inline-formula><mml:math id="M192" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>S) ratio of <inline-formula><mml:math id="M193" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 7 could be assigned as potential NOS species    (P. Lin et
al., 2012). C<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
C<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and C<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> were the
highest OS peaks observed in the pollution episode in winter. The
C<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and C<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species may
be derived from the photooxidation of diesel fuel vapors according to
previous chamber studies  (Blair et
al., 2017). The C<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species was correlated well
with C<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> in 2015–2016 (<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.76) and 2018–2019
(<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.84), suggesting it may also be derived from diesel fuel vapors. The
highest NOS peak in winter was C<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, which likely
originates from monoterpene oxidation   (Surratt et al.,
2008). C<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">29</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
and C<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> were among the highest OS peaks observed
in the summer pollution episode. C<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> is an
IEPOX-derived OS species  (Surratt et al., 2010), while
C<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">29</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and C<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> may be
derived from the oxidation of diesel fuel vapors
(Blair et al., 2017). The highest NOS
peak in summer was monoterpene-derived C<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, the
same as in winter.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Quantified organosulfates</title>
      <p id="d1e2898">In this study, we quantified 29 OS and six NOS compounds using a
variety of authentic and surrogate OS standards (Table 1). The quantified OSs
and NOSs accounted for 14 %–18 % and 47 %–67 % by intensity of the identified
CHOS and CHONS in polluted winter days and 15 %–37 % and 58 %–87 % in
polluted summer days (Fig. 3c), respectively. The increased contribution of the
quantified OSs and NOSs in summer is because they are mainly derived from
biogenic VOCs, which have greater emissions in summer than in other seasons
(Guenther et al., 1995). We note that a large fraction of OS
signals was not quantified owing to the lack of proper standards in this
study. As discussed above, these unquantified OSs mainly originated from
anthropogenic sources. Future studies of their abundances and formation
mechanisms are warranted.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Table}?><label>Table 2</label><caption><p id="d1e2904">A summary of OS concentrations (in ng m<inline-formula><mml:math id="M256" 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 their
contribution to OM (OS <inline-formula><mml:math id="M257" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OM) in the four seasons in 2015–2016 and 2018–2019.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Season</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">2015–2016 </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">2018–2019 </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OS</oasis:entry>
         <oasis:entry colname="col3">OS <inline-formula><mml:math id="M258" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OM</oasis:entry>
         <oasis:entry colname="col4">OS</oasis:entry>
         <oasis:entry colname="col5">OS <inline-formula><mml:math id="M259" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OM</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">All year</oasis:entry>
         <oasis:entry colname="col2">65.5 <inline-formula><mml:math id="M260" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 77.5</oasis:entry>
         <oasis:entry colname="col3">0.57 % <inline-formula><mml:math id="M261" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56 %</oasis:entry>
         <oasis:entry colname="col4">59.4 <inline-formula><mml:math id="M262" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 79.7</oasis:entry>
         <oasis:entry colname="col5">0.66 % <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spring</oasis:entry>
         <oasis:entry colname="col2">51.1 <inline-formula><mml:math id="M264" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24.4</oasis:entry>
         <oasis:entry colname="col3">0.34 % <inline-formula><mml:math id="M265" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10 %</oasis:entry>
         <oasis:entry colname="col4">51.5 <inline-formula><mml:math id="M266" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 28.8</oasis:entry>
         <oasis:entry colname="col5">0.48 % <inline-formula><mml:math id="M267" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Summer</oasis:entry>
         <oasis:entry colname="col2">114.1 <inline-formula><mml:math id="M268" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 128.4</oasis:entry>
         <oasis:entry colname="col3">1.13 % <inline-formula><mml:math id="M269" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.78 %</oasis:entry>
         <oasis:entry colname="col4">102.1 <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 137.7</oasis:entry>
         <oasis:entry colname="col5">1.18 % <inline-formula><mml:math id="M271" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.81 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Autumn</oasis:entry>
         <oasis:entry colname="col2">38.2 <inline-formula><mml:math id="M272" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21.7</oasis:entry>
         <oasis:entry colname="col3">0.36 % <inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11 %</oasis:entry>
         <oasis:entry colname="col4">38.0 <inline-formula><mml:math id="M274" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20.0</oasis:entry>
         <oasis:entry colname="col5">0.54 % <inline-formula><mml:math id="M275" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Winter</oasis:entry>
         <oasis:entry colname="col2">44.5 <inline-formula><mml:math id="M276" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17.5</oasis:entry>
         <oasis:entry colname="col3">0.32 % <inline-formula><mml:math id="M277" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12 %</oasis:entry>
         <oasis:entry colname="col4">37.3 <inline-formula><mml:math id="M278" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18.4</oasis:entry>
         <oasis:entry colname="col5">0.36 % <inline-formula><mml:math id="M279" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e3221">Table 2 summarizes the seasonally and annually averaged concentrations of
the quantified OSs as well as their contributions to OM in 2015–2016 and
2018–2019. The average concentration of quantified OSs was 65.5 <inline-formula><mml:math id="M280" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 77.5 ng m<inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and 59.4 <inline-formula><mml:math id="M282" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 79.7 ng m<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2018–2019.
Although there was little change in OS concentration in these two years, the
contribution of OS to OM was larger in 2018–2019 (0.66 % <inline-formula><mml:math id="M284" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56 %)
than in 2015–2016 (0.57 % <inline-formula><mml:math id="M285" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56 %), mainly due to a significant
reduction of OM in 2018–2019. Since OS species are important tracers for SOAs
(Surratt et al., 2007b; Gómez-González et al., 2008; Surratt et
al., 2008; McNeill et al., 2012; Zhang et al., 2012; Surratt et al., 2010;
Lin et al., 2013), an increase of OS <inline-formula><mml:math id="M286" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OM ratios in 2018–2019 implies an
enhanced contribution of SOAs to organic aerosols (OAs) in Shanghai. A previous study by Ma et
al. (2014) reported an average OS concentration in urban Shanghai
in 2012/2013 of about 8.6 ng m<inline-formula><mml:math id="M287" 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>, substantially smaller than the
concentration reported here. This is likely due to the different number of OS
species quantified (17 vs. 35) and the different OS standards used (octyl and
benzyl sulfates vs. seven authentic or surrogate standards) in the Ma et al. (2014) and the present studies. As can be seen in Fig. 2e and Table 2, the OS concentration and OS <inline-formula><mml:math id="M288" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OM ratio both showed a strong seasonal
variation and peaked in summer. The concentration of OS and its contribution
to OM in summertime Shanghai (on average 114.1 ng m<inline-formula><mml:math id="M289" 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 1.13 % in
July 2015 and 102.1 ng m<inline-formula><mml:math id="M290" 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 1.18 % in<?pagebreak page2968?> July 2019) were larger or
comparable to those observed in Beijing (55.2 ng m<inline-formula><mml:math id="M291" 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>, 0.42 %)
(Wang et al., 2018) and Birmingham, Alabama (205.4 ng m<inline-formula><mml:math id="M292" 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>,
2 % of OC)  (Rattanavaraha et al., 2016), but significantly lower than
those observed in Atlanta, GA (2366.4 ng m<inline-formula><mml:math id="M293" 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>, 16.5 % of OC), and
Centreville, AL (812 ng m<inline-formula><mml:math id="M294" 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>, 7.3 % of OC)  (Hettiyadura et
al., 2019), where the production of OSs and SOAs is dominated by the oxidation
of biogenic emissions. The contribution of OSs to OM in wintertime Shanghai
(on average 0.32 % in January 2016 and 0.36 % in January 2019) was
larger than that observed in Xi'an (<inline-formula><mml:math id="M295" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.2 %)
(Huang et al., 2018), though the quantified OS concentrations in
the two regions were comparable. This may suggest a stronger secondary
formation of OAs in Shanghai than in Xi'an, consistent with independent
measurements by  Huang et al. (2014).</p>
      <p id="d1e3384">To further characterize the seasonality and interannual variability of OSs,
as well as their origin and formation mechanisms, the quantified OSs were
assigned to four different source categories based on their molecular
composition and literature data  (Surratt et al., 2008, 2007a; Nozière et al., 2010; Surratt et al., 2010; Schindelka et al.,
2013; Zhang et al., 2014; Riva et al., 2015, 2016b; Blair et
al., 2017; Nestorowicz et al., 2018). The OS species for each OS source
category are listed in Table 1 and the seasonal and interannual variations
in the abundance of grouped and individual OSs are shown in Fig. 4 and Table S5 in the Supplement, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3389">Concentrations of different types of the quantified OSs
over the four seasons in 2015–2016 and 2018–2019.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-f04.png"/>

        </fig>

<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Isoprene-derived organosulfates</title>
      <p id="d1e3405">The isoprene-derived OSs (hereafter referred to as OS<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula>) include 10
C<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> species and one dimeric species (C<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M301" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>).
The average concentration of OS<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> in summer was 76.5 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 93.4 ng m<inline-formula><mml:math id="M304" 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 2015–2016 and 68.4 <inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 102.2 ng m<inline-formula><mml:math id="M306" 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 2018–2019,
significantly larger than the concentrations (10.4–17.1 ng m<inline-formula><mml:math id="M307" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in
other seasons (Fig. 4a). Similar strong seasonality of OS<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> was also
observed in suburban areas in the mid-Atlantic United States
(Meade et al., 2016) and the Pearl River Delta (PRD) in southern
China  (He et al., 2014). The
significantly increased production of OS<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> in summer is mainly a result
of enhanced isoprene emissions    (Guenther et al., 1995) and
photochemistry due to strong solar radiation and high temperatures in this
warmer season.</p>
      <?pagebreak page2969?><p id="d1e3546">The most abundant OS<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> species was 2-MTS
(C<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M314" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>), produced by reactive uptake of IEPOX on
sulfate during the photooxidation of isoprene under low-NO<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions
(Surratt et al., 2010). The average concentration of 2-MTS was
<inline-formula><mml:math id="M316" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 31 ng m<inline-formula><mml:math id="M317" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in summer, contributing about 45 % of the
OS<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula>, whereas it decreased to 0.4–1.3 ng m<inline-formula><mml:math id="M319" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in other seasons,
accounting for only 4 %–10 % of the OS<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> in 2015–2016 and 2018–2019 (see
Table S5 in the Supplement). In addition, 2-methylglyceric acid sulfate (2-MAS, C<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M324" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) was abundantly detected with an average concentration of 4.5 ng m<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
summer and 1.0–2.2 ng m<inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in other seasons during both sampling
years. 2-MAS is formed from reactive uptake of methacrylic acid epoxide
(MAE)  (Lin et al., 2013) and hydroxymethyl-methyl-lactone (HMML)
(Nguyen et al., 2015) on sulfate aerosols during isoprene
photooxidation under high-NO<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions. It is worthwhile noting that
the concentration ratio of 2-MTS/2-MAS in summer (6.8–7.8) is
substantially larger than in other seasons (0.31–0.78). This is
consistent with a dramatic reduction of NO<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels (e.g., NO<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) in
summer (<inline-formula><mml:math id="M330" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 13 ppb) compared to other seasons
(<inline-formula><mml:math id="M331" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 24–34 ppb) (see Table S1 in the Supplement). Furthermore, the
NO<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-influenced oxidation pathways may not be conducive to 2-MAS
formation in summer, given that the formation of reactive intermediates such
as MAE is unfavorable at high temperatures, owing to enhanced thermal
decomposition of its precursor methacryloyl peroxynitrate (MPAN)  (Worton
et al., 2013). 2-MTS and 2-MAS are key tracers for isoprene-derived SOAs
under low- and high-NO<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions, respectively  (Surratt et al.,
2010; Lin et al., 2013; Nguyen et al., 2015). The dramatically larger ratios
of 2-MTS/2-MAS in summer than in other seasons, therefore, strongly
suggest that the low-NO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> oxidation pathways dominated the production of
isoprene-derived SOAs in summer, while the processes favorable under
high-NO<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions were important for SOA formation in other seasons.
We note that the 2-MTS/2-MAS ratios observed in summertime Shanghai are
smaller than those (17.0–33.8) observed in less polluted environments such
as the southeastern United States  (Hettiyadura et al., 2019;
Budisulistiorini et al., 2015; Riva et al., 2019) but significantly larger
than those (0.55–1.57) observed in Beijing  (Wang et al., 2018; Bryant et
al., 2020) and the PRD region of China
(He et al., 2018).</p>
      <p id="d1e3793">Other abundant OS<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> species include C<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M340" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
C<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M344" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and C<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M348" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>. The
C<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and C<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M356" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species can be
produced by photooxidation of isoprene  (Surratt et al., 2008; Nestorowicz
et al., 2018) and/or the oxidative aging of 2-MTS (Hettiyadura et al.,
2015; Chen et al., 2020).  C<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> can be generated
both from sulfate radical reaction with MACR or MVK  (Nozière et al.,
2010; Schindelka et al., 2013; Wach et al., 2019) and isoprene
photooxidation  (Lin et al., 2013; Surratt et al., 2007a; Nestorowicz et
al., 2018). C<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and
C<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M368" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> are also consistent in molecular formula with
the OS species formed from the photooxidation of diesel fuel vapors
(Blair et al., 2017). However, these
two species had moderate to strong correlations with MT-OS and
C<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M372" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> in different seasons except for autumn
(C<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.68–0.96; C<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M381" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.62–0.96), indicating that they are mainly derived from isoprene
oxidation. We note that the five most abundant OS<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> species discussed
above were moderately correlated with EC and CO in winter (<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.5–0.67),
suggesting that there might be anthropogenic sources of isoprene in winter.
Borbon et al. (2001) measured the hourly isoprene concentration at
an urban site in Lille, France, for two years and found that isoprene was
largely derived from vehicle emissions in winter. In addition to OS species,
two isoprene-derived NOSs (C<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M388" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and
C<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) were observed, particularly in summer.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Monoterpene-derived organosulfates</title>
      <?pagebreak page2970?><p id="d1e4335">The monoterpene-derived OSs (hereafter referred to as OS<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula>) include seven
C<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> OS species and three C<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">9</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> NOS species. Compared to the
OS<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula>, the OS<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> showed a weaker seasonal variation and a relatively
larger abundance except in summer (Fig. 4b). This is consistent with the
fact that isoprene emissions have stronger seasonal variability than
monoterpene emissions    (Guenther et al., 1995). The seasonally
averaged concentrations of OS<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> were higher in spring and summer but
lower in autumn and winter. This is different from previous observations in
2012/2013 in Shanghai by Ma et al. (2014). They found that the
OS<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> were most abundant in summer, followed by autumn, winter, and
spring. The differences in seasonal variations of OS<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> observed by the
two studies may be attributed to different meteorological and chemical
conditions that affected precursor emissions and the chemistry of OS<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula>
formation over the sampling periods. Given that the OS<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> concentration
had an obvious daily variation, the number of samples collected would
significantly affect the seasonally averaged concentration. As such, the
difference in the number of samples collected each season (18–20 samples in
this study vs. six samples within three days in Ma et al., 2014)
may also contribute to the different seasonality observed in the two
studies.</p>
      <p id="d1e4439">The NOS species, such as C<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M406" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
C<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M410" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and C<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M414" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, were
the most abundant OS<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> species, which mainly arise from monoterpene
photooxidation in the presence of NO<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> or nighttime NO<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> chemistry
(Surratt et al., 2008; Iinuma et al., 2007a). The concentrations of these
three NOSs were all lower in summer than in spring and autumn (Table S5 in the Supplement),
consistent with the seasonal trend of NO<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations (Fig. 2 and
Table S1 in the Supplement). Similar seasonal variations for these NOS species were also
observed in the PRD region of China   (He
et al., 2014) and the mid-Atlantic United States  (Meade et
al., 2016). Among the NOS species, C<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M421" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M422" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> was
most abundant, contributing 22 %–48 % to the OS<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula>. This species had an
annual average concentration of 6.2 <inline-formula><mml:math id="M424" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.5 ng m<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and
5.5 <inline-formula><mml:math id="M426" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.2 ng m<inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2018–2019, which is comparable to the
concentrations observed in Beijing (12 ng m<inline-formula><mml:math id="M428" 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>) (Wang et al.,
2018) and Atlanta, GA (9.0 ng 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>)  (Hettiyadura et al.,
2019), but much lower than that observed in the PRD region of China (52.4 ng m<inline-formula><mml:math id="M430" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in summer and 151 ng m<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in autumn)
(He et al., 2014). The prevalence of
monoterpene-derived NOSs in Shanghai as observed in this study is consistent
with recent observations that monoterpenes accounted for up to 60 % of
nighttime NO<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical loss in the YRD region of China
(H. C. Wang et al., 2020).</p>
      <p id="d1e4731">The most abundant nitrogen-free OS<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> species was
C<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M436" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 279.0538), which was shown to be
produced from the photooxidation of monoterpenes
(Surratt et al., 2008) or sulfate radical reaction with
<inline-formula><mml:math id="M439" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene   (Nozière et al., 2010). Although
C<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M443" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> is consistent in molecular composition with
the OS species formed by the photooxidation of cyclodecane in the presence of
sulfate aerosols    (Riva et al., 2016b), its moderate to strong
correlation (<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.51–0.93) with the three monoterpene-derived NOSs in all
seasons except for winter suggests that it is mainly derived from
monoterpene oxidation. The concentration of C<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M448" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
was, on average, 3.0 <inline-formula><mml:math id="M449" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0 ng m<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016, lower than that
(4.0 <inline-formula><mml:math id="M451" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.4 ng m<inline-formula><mml:math id="M452" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in 2018–2019. In contrast to the NOS species,
the C<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species was most abundant in summer in
both years, again suggesting a strong contribution of low-NO<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry
in OS and SOA formation in summer.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>Anthropogenic organosulfates</title>
      <p id="d1e4977">The quantified anthropogenic OSs (hereafter referred to as OS<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula>) in this
study include phenyl sulfate (C<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>), benzyl sulfate
(C<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>), C<inline-formula><mml:math id="M467" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M470" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, as well as
C<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M477" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M478" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and
C<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M480" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>. The annual average concentrations of OS<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula>
in 2015–2016 and 2018–2019 were 5.6 <inline-formula><mml:math id="M484" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.8  and 3.8 <inline-formula><mml:math id="M485" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.3 ng m<inline-formula><mml:math id="M486" 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>, respectively. Although the concentration of quantified
OS<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> decreased in 2018–2019, we are not sure whether the total
concentration of OS<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> decreased because only a small fraction of
OS<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> was quantified. The interannual variation of OS<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> warrants
further study. As shown in Fig. 4c, the quantified OS<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> concentration
was substantially smaller compared to the biogenic OS concentration. In addition, the
OS<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> concentration had little seasonal variations in both 2015–2016 and
2018–2019. Among the quantified OS<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M497" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> was
most abundant with an annual average concentration of 2.0 <inline-formula><mml:math id="M498" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.5 ng m<inline-formula><mml:math id="M499" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and 1.8 <inline-formula><mml:math id="M500" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6 ng m<inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2018–2019, which
is comparable to the concentrations in Atlanta,GA  (Hettiyadura et
al., 2019). Blair et al. (2017)
found that photooxidation of diesel vapors in the presence of SO<inline-formula><mml:math id="M502" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can
form C<inline-formula><mml:math id="M503" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M507" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and
C<inline-formula><mml:math id="M511" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M514" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species. The C<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M518" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
species had the same retention time as the octyl sulfate standard in the LC
column, suggesting it is a long-chain aliphatic OS. This OS species was
correlated with C<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and
C<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M526" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, which were potential diesel vapor-derived OSs.
Phenyl sulfate and benzyl sulfate may be produced by photooxidation of
naphthalene and 2-methylnaphthalene  (Riva et al., 2015) and/or by sulfate
radical reaction with aromatic compounds such as benzoic acid and toluene in
the aqueous phase   (Huang et al., 2020), but phenyl sulfate
was only detected in 42 out of 75 samples in 2015–2016 and 8 out of 81
samples in 2018–2019, primarily in winter. The benzyl sulfate concentrations
in 2015–2016 and 2018–2019 were 0.4 <inline-formula><mml:math id="M527" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 and 0.2 <inline-formula><mml:math id="M528" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10 ng m<inline-formula><mml:math id="M529" 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>, respectively, which were higher than the observations in
springtime Lahore, Pakistan  (Staudt et al., 2014), and in wintertime
Xi'an, China    (Huang et al., 2018). Benzyl sulfate had a strong
correlation with phenyl sulfate and was also correlated with
C<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M532" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M533" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and C<inline-formula><mml:math id="M534" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <label>3.3.4</label><?xmltex \opttitle{C${}_{{2}}$ or C${}_{{3}}$ organosulfates}?><title>C<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or C<inline-formula><mml:math id="M539" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> organosulfates</title>
      <?pagebreak page2971?><p id="d1e5741">The OS species with two or three carbon atoms are grouped together since
many of them are considered to have both biogenic and anthropogenic origins.
The C<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M541" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OSs quantified in this study include
C<inline-formula><mml:math id="M542" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M543" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M545" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 154.9650), C<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M548" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M550" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 152.9858), C<inline-formula><mml:math id="M552" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M553" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M554" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M555" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 168.9807),
C<inline-formula><mml:math id="M557" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M560" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 138.9701), C<inline-formula><mml:math id="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M563" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M565" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 136.9909), and C<inline-formula><mml:math id="M567" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M568" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M569" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M570" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 155.0014). The
C<inline-formula><mml:math id="M572" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M573" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS species accounted for, on average, 19 % of the
quantified OS concentrations and overall they were more abundant in summer
than in other seasons in 2015–2016 and 2018–2019 (Fig. 4d). The
C<inline-formula><mml:math id="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M576" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M577" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M578" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M580" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M581" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and
C<inline-formula><mml:math id="M582" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M583" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M584" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M585" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species, which were previously assigned to
glycolic acid sulfate (GAS), hydroxyacetone sulfate (HAS), and lactic acid
sulfate (LAS), respectively (Olson et al., 2011; Hettiyadura et al., 2017;
Huang et al., 2018; Wang et al., 2018; Hettiyadura et al., 2019), were among
the most abundant C<inline-formula><mml:math id="M586" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or C<inline-formula><mml:math id="M587" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS species, together contributing 76 % of the C<inline-formula><mml:math id="M588" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M589" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS concentrations during both sampling years.
The concentration of C<inline-formula><mml:math id="M590" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M591" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M592" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M593" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (GAS) was, on average,
2.9 <inline-formula><mml:math id="M594" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2 ng m<inline-formula><mml:math id="M595" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and 2.3 <inline-formula><mml:math id="M596" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 ng 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> in
2018–2019, which was lower than the concentrations measured in Beijing (19.5 ng m<inline-formula><mml:math id="M598" 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>)  (Wang et al., 2018), Xi'an (77.3 ng m<inline-formula><mml:math id="M599" 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>)
(Huang et al., 2018), Atlanta, GA (58.5 ng m<inline-formula><mml:math id="M600" 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>)
(Hettiyadura et al., 2019), Centreville, AL (20.6 ng 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>)
(Hettiyadura et al., 2017), Lahore, Pakistan (11.3 ng m<inline-formula><mml:math id="M602" 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 Bakersfield, CA (4.5–5.4 ng m<inline-formula><mml:math id="M603" 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>)
(Olson et al., 2011), and similar to that
observed in Riverside, CA (3.3 ng m<inline-formula><mml:math id="M604" 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>)
(Olson et al., 2011). We note that if
the underestimation (2–6 times) of concentration  due to
matrix effects is accounted for (see Sect. 2.5), the GAS concentration measured in Shanghai
would be comparable to that in most of the regions mentioned above. The
concentrations of C<inline-formula><mml:math id="M605" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M606" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M607" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M608" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (HAS) and
C<inline-formula><mml:math id="M609" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M610" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M612" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (LAS) were quite similar, on average, 2.3 and
2.2 ng m<inline-formula><mml:math id="M613" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and 1.8 and 1.9 ng m<inline-formula><mml:math id="M614" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2018–2019,
respectively, which were comparable to the concentrations observed in
Beijing (2.2 and 4.4 ng m<inline-formula><mml:math id="M615" 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>) (Wang et al., 2018)
and Xi'an (1.3 ng m<inline-formula><mml:math id="M616" 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 HAS)    (Huang et al., 2018), but
lower than those measured in Centreville, AL (5.8  and 16.5 ng m<inline-formula><mml:math id="M617" 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>)  (Hettiyadura et al., 2017), and Atlanta, GA (10.1 and 38.4 ng m<inline-formula><mml:math id="M618" 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>)  (Hettiyadura et al., 2019).
C<inline-formula><mml:math id="M619" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M620" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M621" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M622" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M623" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M624" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M625" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M626" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
C<inline-formula><mml:math id="M627" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M628" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M629" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M630" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and C<inline-formula><mml:math id="M631" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M633" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M634" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> were strongly
correlated with most of the OS<inline-formula><mml:math id="M635" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> species (<inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.52–0.96 for
C<inline-formula><mml:math id="M637" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M638" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M639" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M640" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.53–0.99 for
C<inline-formula><mml:math id="M642" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M643" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M644" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M645" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.53–0.90 for
C<inline-formula><mml:math id="M647" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M648" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M649" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M650" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and <inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.53–0.94 for
C<inline-formula><mml:math id="M652" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M653" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M654" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M655" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>), indicating that they originated mainly from
isoprene chemistry. This is in line with recent findings that a series of
C<inline-formula><mml:math id="M656" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or C<inline-formula><mml:math id="M657" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS species, including C<inline-formula><mml:math id="M658" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M659" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M660" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M661" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
C<inline-formula><mml:math id="M662" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M663" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M664" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M665" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and C<inline-formula><mml:math id="M666" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M667" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M668" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M669" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, can be
produced by heterogeneous OH oxidation of particulate 2-MTS (Chen et al.,
2020). The C<inline-formula><mml:math id="M670" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M671" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M672" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M673" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species, proposed to contain an
allyl group  (Hettiyadura et al., 2017), was previously found
to be produced by diesel photooxidation
(Blair et al., 2017) and was
correlated with anthropogenic OSs such as the potential diesel vapor-derived
OS (C<inline-formula><mml:math id="M674" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M675" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M676" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M677" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, C<inline-formula><mml:math id="M678" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M679" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M680" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M681" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
C<inline-formula><mml:math id="M682" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M683" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M684" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M685" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, and C<inline-formula><mml:math id="M686" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M687" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M688" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M689" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M690" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.53–0.87) and benzyl sulfate (C<inline-formula><mml:math id="M691" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M692" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M693" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M694" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>,
<inline-formula><mml:math id="M695" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>.49–0.88). C<inline-formula><mml:math id="M696" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M697" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M698" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M699" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> is likely an OS species
containing one hydroxyl group  (Hettiyadura et al., 2017); it
was strongly correlated with C<inline-formula><mml:math id="M700" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M701" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M702" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M703" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> in all seasons
and correlated with the diesel vapor-derived OS<inline-formula><mml:math id="M704" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula>
(C<inline-formula><mml:math id="M705" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M706" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M707" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M708" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and C<inline-formula><mml:math id="M709" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M710" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M711" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M712" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>) in spring
and autumn, suggesting that it may be largely derived from the
photooxidation of diesel vapors. This result is different from the
observations in Atlanta, GA, where C<inline-formula><mml:math id="M713" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M714" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M715" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M716" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> was
correlated with most of the OS<inline-formula><mml:math id="M717" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula>, leading to the suggestion that it was
derived from the oxidation of isoprene  (Hettiyadura et al.,
2019). We note that the concentrations of the C<inline-formula><mml:math id="M718" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M719" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M720" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M721" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
and C<inline-formula><mml:math id="M722" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M723" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M724" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M725" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species decreased significantly from
2015–2016 to 2018–2019 (except for summer; see Table S5 in the Supplement), which is overall consistent
with the interannual variations of OS<inline-formula><mml:math id="M726" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> species. This further supports
that these two OS species mainly originated from anthropogenic sources.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Factors influencing organosulfate formation</title>
      <p id="d1e7544">Laboratory and field studies have shown that aerosol properties such as
acidity, sulfate concentration, and ALWC play important roles in the
formation of OSs  (Iinuma et al., 2007b; Chan et al., 2011; Surratt et al.,
2007a,b; Liao et al., 2015; Hettiyadura et al., 2019;
Riva et al., 2019). Here, we examined the influences of these factors as
well as the level of oxidants and temperature on OS formation in ambient
aerosols in Shanghai. Aerosol pH and ALWC were calculated using
ISORROPIA-II (see Sect. 2.4). Figure 5 shows the OS concentration vs. the
O<inline-formula><mml:math id="M727" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> level, sulfate concentration, aerosol pH, and ALWC observed in the
spring, autumn, and winter of 2015–2016 and 2018–2019. Since the OS
concentrations in summer were significantly greater than in other seasons,
they are plotted separately in Fig. 6. As shown in Figs. 5 and 6, the
aerosol pH in Shanghai ranged between 1.5 and 5.3 in summer and between 2.5
and 6.1 in other seasons, which is overall within the pH range (2–6) reported for
ambient aerosols in northern China  (Liu et al., 2017; Shi et al., 2017;
J. Ding et al., 2019; Song et al., 2019; Wang et al., 2018). A recent study by
Zheng et al. (2020) suggested that aerosol pH levels in populated
continental regions including eastern and northern China are widely buffered
by ammonium/ammonia, where the variation in aerosol pH is mainly driven by
the variation in ALWC and temperature. Therefore, we infer that the lower
aerosol pH in summer compared to other seasons in Shanghai was mainly a result
of decreased ALWC (Figs. 5 and 6c, d) and enhanced temperature (Fig. 2a).
Decreased aerosol pH in summer compared to other seasons was also observed
in Beijing      (J. Ding et al., 2019) and the southeastern United
States  (Guo et al., 2015; Nah et al., 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e7558">Quantified OS concentrations as a function of <bold>(a, b)</bold> the level of O<inline-formula><mml:math id="M728" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (O<inline-formula><mml:math id="M729" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> O<inline-formula><mml:math id="M730" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M731" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and
<bold>(c, d)</bold> aerosol liquid water content (ALWC) in 2015–2016 and
2018–2019, except for summer. The circles are colored according to the
aerosol pH and their size is linearly scaled with the SO<inline-formula><mml:math id="M732" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>
concentration. The markers inside the triangle indicate the observations
with low O<inline-formula><mml:math id="M733" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels (<inline-formula><mml:math id="M734" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 50 ppb). The measured OS concentrations
within regular O<inline-formula><mml:math id="M735" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> or ALWC intervals (every 10 unit lengths) were
averaged to more obviously demonstrate the trend (star symbols).</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-f05.png"/>

        </fig>

      <?pagebreak page2972?><p id="d1e7657">As can be seen in Fig. 5, the OS concentration in spring, autumn, and winter
obviously increased with increasing O<inline-formula><mml:math id="M736" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> level, sulfate concentration,
and aerosol acidity (Fig. 5a, b). A similar result was also found in Beijing,
where most OS species were correlated strongly with the product of ozone and
particulate sulfate ([O<inline-formula><mml:math id="M737" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] <inline-formula><mml:math id="M738" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> [SO<inline-formula><mml:math id="M739" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>])
(Bryant et al.,
2020). In addition, an overall positive correlation was observed between the
OS concentration and ALWC (Fig. 5c, d). Therefore, it is likely that the OS
species were mainly produced by acid-catalyzed heterogeneous and aqueous-phase
reactions of oxidized organic compounds with sulfate in these seasons.
Previous studies have shown that elevated ALWC could inhibit OS production
by decreasing aerosol acidity through dilution  (Lewandowski et al., 2015;
Nestorowicz et al., 2018). However, as the increase of ALWC was accompanied
by elevated sulfate concentration, such a decrease in aerosol acidity was
not observed in the present study (Fig. 5c, d). Alternatively, the increased
ALWC likely promoted the mass transfer of oxidized organics into the aerosol
phase, thereby enhancing OS formation. We note that the observations with
moderate to high ALWC but relatively low OS concentration (triangle data points in Fig. 5c, d) were associated with low O<inline-formula><mml:math id="M740" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels
(<inline-formula><mml:math id="M741" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 50 ppb) that significantly limited the oxidation of VOC
precursors and hence the formation of OS.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e7720">Quantified OS concentrations as a function of the O<inline-formula><mml:math id="M742" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
level in the summer of <bold>(a, c)</bold> 2015 and <bold>(b, d)</bold> 2019. The
color of the circles in <bold>(a)</bold> and <bold>(b)</bold> indicates the aerosol pH and their
size is linearly scaled with the SO<inline-formula><mml:math id="M743" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration. The color of
the circles in <bold>(c)</bold> and <bold>(d)</bold> indicates ambient temperature and their size
is linearly scaled with the aerosol liquid water content (ALWC).</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/2959/2021/acp-21-2959-2021-f06.png"/>

        </fig>

      <p id="d1e7772">As seen in Fig. 6, the OS production in summer increased dramatically with
rising O<inline-formula><mml:math id="M744" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration. In addition, high OS concentrations were
associated with high ambient temperatures, which can enhance emissions of
biogenic precursors and the production of O<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. While the aerosol acidity
effect on OS production in summer was still evident, the influence of
sulfate and ALWC was not as obvious as in other seasons. This is likely
because the OS production in summer was driven by the strong emissions and
fast photochemistry of VOC precursors. It is noteworthy that the sulfate
concentrations, ALWC, and aerosol acidities were overall higher in 2015–2016
than in 2018–2019, but the OS concentrations were similar. This
implies that the O<inline-formula><mml:math id="M746" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> level is a driving factor for OS formation in
ambient aerosols in Shanghai. Very recently, a similar oxidant effect on OS
formation was also observed in urban Beijing
(Bryant et al.,
2020). Therefore, mitigation of O<inline-formula><mml:math id="M747" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> pollution may effectively reduce the
production of OSs and SOAs in Chinese megacities.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e7820">In this study, we collected ambient PM<inline-formula><mml:math id="M748" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> filter samples over four
seasons in 2015–2016 and 2018–2019 in urban Shanghai, China, and
comprehensively characterized the sulfur-containing organic compounds (CHOS
and CHONS) in these PM<inline-formula><mml:math id="M749" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples using UPLC-ESI-QToFMS. The CHOS
and CHONS species accounted for a large fraction of the ion signals for
organic compounds in ambient PM<inline-formula><mml:math id="M750" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Using a set of authentic and
surrogate OS standards, we quantified the abundance of 29 OS and 6 NOS
species in ambient aerosols. We found that there was no strong change in the
OS concentration in 2018–2019 (59.4 <inline-formula><mml:math id="M751" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 79.7 ng m<inline-formula><mml:math id="M752" 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>) compared to
that in 2015–2016 (65.5 <inline-formula><mml:math id="M753" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 77.5 ng m<inline-formula><mml:math id="M754" 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>), though the OM
concentration decreased by 29 % between 2015–2016 (12.7 <inline-formula><mml:math id="M755" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8 <inline-formula><mml:math id="M756" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and 2018–2019 (9 <inline-formula><mml:math id="M757" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.5 <inline-formula><mml:math id="M758" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). As a result, the
annual average contribution of quantified OSs to OM increased from 0.57 %
in 2015–2016 to 0.66 % in 2018–2019, suggesting an enhanced contribution
of SOAs to OM in Shanghai in recent years. The OS<inline-formula><mml:math id="M759" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> and OS<inline-formula><mml:math id="M760" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula>
accounted for, on average, 36.3 % and 31.0 % of the quantified<?pagebreak page2973?> OS
concentrations, respectively, during both sampling years, indicating a
significant contribution of biogenic emissions to SOAs in Shanghai. The
abundance of OS<inline-formula><mml:math id="M761" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> had strong seasonality and was significantly higher in
summer (76.5 <inline-formula><mml:math id="M762" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 93.4 ng m<inline-formula><mml:math id="M763" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and 68.4 <inline-formula><mml:math id="M764" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 102.2 ng m<inline-formula><mml:math id="M765" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2018–2019) than in other seasons (10.4–17.1 ng m<inline-formula><mml:math id="M766" 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
OS<inline-formula><mml:math id="M767" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:math></inline-formula> concentration showed a weaker seasonal variation and was relatively
higher in spring and summer than in autumn and winter. In contrast, the
quantified OS<inline-formula><mml:math id="M768" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> had little seasonal variations and  decreased by
32 % from 2015–2016 to 2018–2019. The C<inline-formula><mml:math id="M769" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M770" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS species that were
more abundant in summer than in other seasons contributed, on average, 19 % of the concentration of the quantified OS species. C<inline-formula><mml:math id="M771" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M772" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M773" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M774" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (GAS), C<inline-formula><mml:math id="M775" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M776" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M777" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M778" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (HAS), and
C<inline-formula><mml:math id="M779" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M780" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M781" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M782" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (LAS), which were derived mainly from isoprene
chemistry, were the most abundant C<inline-formula><mml:math id="M783" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or C<inline-formula><mml:math id="M784" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS species and together
accounted for 76 % of the C<inline-formula><mml:math id="M785" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and C<inline-formula><mml:math id="M786" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> OS concentrations.</p>
      <p id="d1e8203">2-MTS was the most abundant OS species in summer. The dramatically larger
2-MTS/2-MAS ratios in summer (6.8–7.8) vs. other seasons (0.31–0.78)
imply that the reaction pathways prevalent under low-NO<inline-formula><mml:math id="M787" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions
(e.g., reactive uptake of IEPOX and photooxidation of isoprene hydroxy hydroperoxides (ISOPOOH)) dominated the
production of OS<inline-formula><mml:math id="M788" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> and isoprene-derived SOAs in summer, while the
processes favorable under high-NO<inline-formula><mml:math id="M789" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> conditions play an important role in
OS<inline-formula><mml:math id="M790" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula> and SOA formation in other seasons. The
C<inline-formula><mml:math id="M791" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M792" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M793" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>S<inline-formula><mml:math id="M794" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> species derived from monoterpenes were the
most abundant NOS species, with an annual average concentration of
6.2 <inline-formula><mml:math id="M795" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.5 ng m<inline-formula><mml:math id="M796" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 2015–2016 and 5.5 <inline-formula><mml:math id="M797" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.2 ng m<inline-formula><mml:math id="M798" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
2018–2019. This agrees well with previous observations that monoterpenes
depleted about 60 % of nighttime NO<inline-formula><mml:math id="M799" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals in the YRD region of
China             (H. C. Wang et al., 2020).</p>
      <p id="d1e8327">In addition, we found that the abundance of OSs was overall positively
correlated with the O<inline-formula><mml:math id="M800" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> level, sulfate concentration, aerosol acidity,
and ALWC in spring, autumn, and winter, suggesting the production of
OSs via acid-catalyzed aqueous-phase reactions of oxidized organic compounds
on sulfate. However, OS production in summer was strongly driven by rising
O<inline-formula><mml:math id="M801" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and temperature, which could enhance the photochemistry and emissions
of biogenic precursors. We further find that although sulfate
concentrations, aerosol acidities, and ALWC were significantly lower in
2018–2019 than in 2015–2016, the production of OSs was largely sustained in
2018–2019 by the nearly unchanged O<inline-formula><mml:math id="M802" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> level that maintained the fast
oxidation of VOC precursors. These results imply that controlling O<inline-formula><mml:math id="M803" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
pollution may also<?pagebreak page2974?> effectively mitigate particulate organic matter pollution
in eastern China.</p>
      <p id="d1e8366">It should be pointed out that GAS was likely underestimated by a factor of
2–6 as a result of the matrix effect during the analysis in our study. When
accounting for this effect, it would be the second most abundant OS species
after MT-OS. In addition, a large fraction of the CHOS signals that arose
mainly from anthropogenic sources was not quantified due to the lack of
proper OS standards in this study. Therefore, the OS concentration and its
contribution to organic aerosols in Shanghai could be significantly greater.
Future studies on the abundance, origin, and formation mechanisms of these
unquantified OSs are warranted for a better understanding of the formation
and evolution of OSs and SOAs in the atmosphere.</p>
</sec>

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

      <p id="d1e8374">The data presented in this work are available upon request from the
corresponding author (yuezhao20@sjtu.edu.cn).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e8377">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-21-2959-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-21-2959-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e8386">YZ designed and led the research. YaW, WZ, and ZC collected the ambient
samples. YuW and JY provided the OS standards. JS conducted the ISORROPIA-II model
calculation and YaW conducted the sample analysis. YZ and YaW processed the data
and wrote the manuscript with contributions from all of the authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e8392">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8398">Yue Zhao gratefully acknowledges the support by the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning. The authors would like to acknowledge the free availability of the meteorological data collected by the Shanghai Hongqiao international airport station and the concentration data of trace gases and PM<inline-formula><mml:math id="M804" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> measured by the state-controlled air quality monitoring station on the Xuhui Campus of Shanghai Normal University.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e8412">This research has been supported by the National Natural Science Foundation of China (grant no. 21806104), the Science and Technology Commission of Shanghai Municipality (grant no. 19DZ1205004), and the Key Program of Medical-Engineering Cross Research Fund of Shanghai Jiao Tong University (grant no. YG2019ZDA24).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e8418">This paper was edited by Willy Maenhaut and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Behera, S. N., Cheng, J., Huang, X., Zhu, Q., Liu, P., and Balasubramanian,
R.: Chemical composition and acidity of size-fractionated inorganic aerosols
of 2013-14 winter haze in Shanghai and associated health risk of toxic
elements, Atmos. Environ., 122, 259–271, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.09.053" ext-link-type="DOI">10.1016/j.atmosenv.2015.09.053</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Blair, S. L., MacMillan, A. C., Drozd, G. T., Goldstein, A. H., Chu, R. K., Pasa-Tolic, L., Shaw, J. B., Tolic, N., Lin, P., Laskin, J., Laskin, A., and Nizkorodov, S. A.: Molecular characterization of organosulfur compounds in biodiesel and diesel fuel secondary organic aerosol, Environ. Sci. Technol.,
51, 119–127, <ext-link xlink:href="https://doi.org/10.1021/acs.est.6b03304" ext-link-type="DOI">10.1021/acs.est.6b03304</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Borbon, A., Fontaine, H., Veillerot, M., Locoge, N., Galloo, J. C., and Guillermo, R.: An investigation into the traffic-related fraction of isoprene at an urban location, Atmos. Environ., 35, 3749–3760, 2001.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Brüggemann, M., Poulain, L., Held, A., Stelzer, T., Zuth, C., Richters, S., Mutzel, A., van Pinxteren, D., Iinuma, Y., Katkevica, S., Rabe, R., Herrmann, H., and Hoffmann, T.: Real-time detection of highly oxidized organosulfates and BSOA marker compounds during the F-BEACh 2014 field study, Atmos. Chem. Phys., 17, 1453–1469, <ext-link xlink:href="https://doi.org/10.5194/acp-17-1453-2017" ext-link-type="DOI">10.5194/acp-17-1453-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Brüggemann, M., Xu, R. S., Tilgner, A., Kwong, K. C., Mutzel, A., Poon, H. Y., Otto, T., Schaefer, T., Poulain, L., Chan, M. N., and Herrmann, H.: Organosulfates in ambient aerosol: state of knowledge and future research directions on formation, abundance, fate, and importance, Environ. Sci. Technol., 54, 3767–3782, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b06751" ext-link-type="DOI">10.1021/acs.est.9b06751</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Bryant, D. J., Dixon, W. J., Hopkins, J. R., Dunmore, R. E., Pereira, K. L., Shaw, M., Squires, F. A., Bannan, T. J., Mehra, A., Worrall, S. D., Bacak, A., Coe, H., Percival, C. J., Whalley, L. K., Heard, D. E., Slater, E. J., Ouyang, B., Cui, T., Surratt, J. D., Liu, D., Shi, Z., Harrison, R., Sun, Y., Xu, W., Lewis, A. C., Lee, J. D., Rickard, A. R., and Hamilton, J. F.: Strong anthropogenic control of secondary organic aerosol formation from isoprene in Beijing, Atmos. Chem. Phys., 20, 7531–7552, <ext-link xlink:href="https://doi.org/10.5194/acp-20-7531-2020" ext-link-type="DOI">10.5194/acp-20-7531-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Budisulistiorini, S. H., Li, X., Bairai, S. T., Renfro, J., Liu, Y., Liu, Y. J., McKinney, K. A., Martin, S. T., McNeill, V. F., Pye, H. O. T., Nenes, A., Neff, M. E., Stone, E. A., Mueller, S., Knote, C., Shaw, S. L., Zhang, Z., Gold, A., and Surratt, J. D.: Examining the effects of anthropogenic emissions on isoprene-derived secondary organic aerosol formation during the 2013 Southern Oxidant and Aerosol Study (SOAS) at the Look Rock, Tennessee ground site, Atmos. Chem. Phys., 15, 8871–8888, <ext-link xlink:href="https://doi.org/10.5194/acp-15-8871-2015" ext-link-type="DOI">10.5194/acp-15-8871-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Chan, M. N., Surratt, J. D., Claeys, M., Edgerton, E. S., Tanner, R. L., Shaw, S. L., Zheng, M., Knipping, E. M., Eddingsaas, N. C., Wennberg, P. O., and Seinfeld, J. H.: Characterization and quantification of isoprene-derived epoxydiols in ambient aerosol in the southeastern United States, Environ. Sci. Technol., 44, 4590–4596, <ext-link xlink:href="https://doi.org/10.1021/es100596b" ext-link-type="DOI">10.1021/es100596b</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Chan, M. N., Surratt, J. D., Chan, A. W. H., Schilling, K., Offenberg, J. H., Lewandowski, M., Edney, E. O., Kleindienst, T. E., Jaoui, M., Edgerton, E. S., Tanner, R. L., Shaw, S. L., Zheng, M., Knipping, E. M., and Seinfeld, J. H.: Influence of aerosol acidity on the chemical composition of secondary organic aerosol from β-caryophyllene, Atmos. Chem. Phys., 11, 1735–1751, <ext-link xlink:href="https://doi.org/10.5194/acp-11-1735-2011" ext-link-type="DOI">10.5194/acp-11-1735-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Chen, Y., Zhang, Y., Lambe, A. T., Xu, R., Lei, Z., Olson, N. E., Zhang, Z.,
Szalkowski, T., Cui, T., Vizuete, W., Gold, A., Turpin, B. J., Ault, A. P.,
Chan, M. N., and Surratt, J. D.: Heterogeneous hydroxyl radical oxidation of
isoprene-epoxydiol-derived methyltetrol sulfates: plausible formation
mechanisms of previously unexplained organosulfates in ambient fine
aerosols, Environ. Sci. Technol. Lett., 7, 460–468, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.0c00276" ext-link-type="DOI">10.1021/acs.estlett.0c00276</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Claeys, M., Wang, W., Vermeylen, R., Kourtchev, I., Chi, X., Farhat, Y.,
Surratt, J. D., Gómez-González, Y., Sciare, J., and Maenhaut, W.:
Chemical characterisation of marine aerosol at Amsterdam Island during the
austral summer of 2006-2007, J. Aerosol Sci., 41, 13=-22, <ext-link xlink:href="https://doi.org/10.1016/j.jaerosci.2009.08.003" ext-link-type="DOI">10.1016/j.jaerosci.2009.08.003</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Darer, A. I., Cole-Filipiak, N. C., O'Connor, A. E., and Elrod, M. J.:
Formation and stability of atmospherically relevant isoprene-derived
organosulfates and organonitrates, Environ. Sci. Technol., 45, 1895–1902, <ext-link xlink:href="https://doi.org/10.1021/es103797z" ext-link-type="DOI">10.1021/es103797z</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>DeRieux, W.-S. W., Li, Y., Lin, P., Laskin, J., Laskin, A., Bertram, A. K., Nizkorodov, S. A., and Shiraiwa, M.: Predicting the glass transition temperature and viscosity of secondary organic material using molecular composition, Atmos. Chem. Phys., 18, 6331–6351, <ext-link xlink:href="https://doi.org/10.5194/acp-18-6331-2018" ext-link-type="DOI">10.5194/acp-18-6331-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Ding, A., Huang, X., Nie, W., Chi, X., Xu, Z., Zheng, L., Xu, Z., Xie, Y., Qi, X., Shen, Y., Sun, P., Wang, J., Wang, L., Sun, J., Yang, X.-Q., Qin, W., Zhang, X., Cheng, W., Liu, W., Pan, L., and Fu, C.: Significant reduction of PM<inline-formula><mml:math id="M805" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in eastern China due to regional-scale emission control: evidence from SORPES in 2011–2018, Atmos. Chem. Phys., 19, 11791–11801, <ext-link xlink:href="https://doi.org/10.5194/acp-19-11791-2019" ext-link-type="DOI">10.5194/acp-19-11791-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Ding, J., Zhao, P., Su, J., Dong, Q., Du, X., and Zhang, Y.: Aerosol pH and its driving factors in Beijing, Atmos. Chem. Phys., 19, 7939–7954, <ext-link xlink:href="https://doi.org/10.5194/acp-19-7939-2019" ext-link-type="DOI">10.5194/acp-19-7939-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Estillore, A. D., Hettiyadura, A. P. S., Qin, Z., Leckrone, E., Wombacher, B., Humphry, T., Stone, E. A., and Grassian, V. H.: Water uptake and hygroscopic growth of organosulfate aerosol, Environ. Sci. Technol., 50, 4259–4268, <ext-link xlink:href="https://doi.org/10.1021/acs.est.5b05014" ext-link-type="DOI">10.1021/acs.est.5b05014</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Fisseha, R., Dommen, J., Gutzwiller, L., Weingartner, E., Gysel, M., Emmenegger, C., Kalberer, M., and Baltensperger, U.: Seasonal and diurnal characteristics of water soluble inorganic compounds in the gas and aerosol phase in the Zurich area, Atmos. Chem. Phys., 6, 1895–1904, <ext-link xlink:href="https://doi.org/10.5194/acp-6-1895-2006" ext-link-type="DOI">10.5194/acp-6-1895-2006</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Fleming, L. T., Ali, N. N., Blair, S. L., Roveretto, M., George, C., and Nizkorodov, S. A.: Formation of light-absorbing organosulfates during evaporation of secondary organic material extracts in the presence of sulfuric acid, ACS Earth Space Chem., 3, 947–957, <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.9b00036" ext-link-type="DOI">10.1021/acsearthspacechem.9b00036</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Fountoukis, C. and Nenes, A.: ISORROPIA II: a computationally efficient thermodynamic equilibrium model for K<inline-formula><mml:math id="M806" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>-Ca<inline-formula><mml:math id="M807" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>-Mg<inline-formula><mml:math id="M808" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>-NH<inline-formula><mml:math id="M809" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-Na<inline-formula><mml:math id="M810" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>-SO<inline-formula><mml:math id="M811" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>-NO<inline-formula><mml:math id="M812" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>-Cl<inline-formula><mml:math id="M813" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>-H<inline-formula><mml:math id="M814" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O aerosols, Atmos. Chem. Phys., 7, 4639–4659, <ext-link xlink:href="https://doi.org/10.5194/acp-7-4639-2007" ext-link-type="DOI">10.5194/acp-7-4639-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Froyd, K. D., Murphy, S. M., Murphy, D. M., de Gouw, J. A., Eddingsaas, N. C., and Wennberg, P. O.: Contribution of isoprene-derived organosulfates to free tropospheric aerosol mass, P. Natl. Acad. Sci. USA, 107, 21360–21365, <ext-link xlink:href="https://doi.org/10.1073/pnas.1012561107" ext-link-type="DOI">10.1073/pnas.1012561107</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Gómez-González, Y., Surratt, J. D., Cuyckens, F., Szmigielski, R., Vermeylen, R., Jaoui, M., Lewandowski, M., Offenberg, J. H., Kleindienst, T. E., Edney, E. O., Blockhuys, F., Van Alsenoy, C., Maenhaut, W., and Claeys, M.: Characterization of organosulfates from the photooxidation of isoprene and unsaturated fatty acids in ambient aerosol using liquid chromatography/(-) electrospray ionization mass spectrometry, J. Mass Spectrom., 43, 371–382, <ext-link xlink:href="https://doi.org/10.1002/jms.1329" ext-link-type="DOI">10.1002/jms.1329</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Grgic, I., Dovzan, A., Bercic, G., and Hudnik, V.: The effect of atmospheric organic compounds on the Fe-catalyzed S(IV) autoxidation in aqueous solution, J. Atmos. Chem., 29, 315–337, <ext-link xlink:href="https://doi.org/10.1023/a:1005918912994" ext-link-type="DOI">10.1023/a:1005918912994</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Griffith, S. M., Huang, X. H. H., Louie, P. K. K., and Yu, J. Z.:
Characterizing the thermodynamic and chemical composition factors
controlling PM<inline-formula><mml:math id="M815" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> nitrate: Insights gained from two years of online
measurements in Hong Kong, Atmos. Environ., 122, 864–875, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.02.009" ext-link-type="DOI">10.1016/j.atmosenv.2015.02.009</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Guenther, A., Hewitt, C. N., Erickson, D., Fall, R., Geron, C., Graedel, T., Harley, P., Klinger, L., Lerdau, M., McKay, W. A., Pierce, T., Scholes, B., Steinbrecher, R., Tallamraju, R., Taylor, J., and Zimmerman, P.: A global model of natural volatile organic compound emissions, J. Geophys. Res., 100, 8873–8892, <ext-link xlink:href="https://doi.org/10.1029/94JD02950" ext-link-type="DOI">10.1029/94JD02950</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Guo, H., Xu, L., Bougiatioti, A., Cerully, K. M., Capps, S. L., Hite Jr., J. R., Carlton, A. G., Lee, S.-H., Bergin, M. H., Ng, N. L., Nenes, A., and Weber, R. J.: Fine-particle water and pH in the southeastern United States, Atmos. Chem. Phys., 15, 5211–5228, <ext-link xlink:href="https://doi.org/10.5194/acp-15-5211-2015" ext-link-type="DOI">10.5194/acp-15-5211-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Guo, H., Sullivan, A. P., Campuzano-Jost, P., Schroder, J. C.,
Lopez-Hilfiker, F. D., Dibb, J. E., Jimenez, J. L., Thornton, J. A., Brown,
S. S., Nenes, A., and Weber, R. J.: Fine particle pH and the partitioning of
nitric acid during winter in the northeastern United States, J. Geophys.
Res.-Atmos., 121, 10355–10376, <ext-link xlink:href="https://doi.org/10.1002/2016jd025311" ext-link-type="DOI">10.1002/2016jd025311</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Hansen, A. M. K., Kristensen, K., Nguyen, Q. T., Zare, A., Cozzi, F., Nøjgaard, J. K., Skov, H., Brandt, J., Christensen, J. H., Ström, J., Tunved, P., Krejci, R., and Glasius, M.: Organosulfates and organic acids in Arctic aerosols: speciation, annual variation and concentration levels, Atmos. Chem. Phys., 14, 7807–7823, <ext-link xlink:href="https://doi.org/10.5194/acp-14-7807-2014" ext-link-type="DOI">10.5194/acp-14-7807-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Hansen, A. M. K., Hong, J., Raatikainen, T., Kristensen, K., Ylisirniö, A., Virtanen, A., Petäjä, T., Glasius, M., and Prisle, N. L.: Hygroscopic properties and cloud condensation nuclei activation of limonene-derived organosulfates and their mixtures with ammonium sulfate, Atmos. Chem. Phys., 15, 14071–14089, <ext-link xlink:href="https://doi.org/10.5194/acp-15-14071-2015" ext-link-type="DOI">10.5194/acp-15-14071-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Hatch, L. E., Creamean, J. M., Ault, A. P., Surratt, J. D., Chan, M. N., Seinfeld, J. H., Edgerton, E. S., Su, Y., and Prather, K. A.: Measurements of isoprene-derived organosulfates in ambient aerosols by aerosol time-of-flight mass spectrometry-part 2: temporal variability and formation mechanisms, Environ. Sci. Technol., 45, 8648–8655, <ext-link xlink:href="https://doi.org/10.1021/es2011836" ext-link-type="DOI">10.1021/es2011836</ext-link>, 2011.</mixed-citation></ref>
      <?pagebreak page2976?><ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Hawkins, L. N., Russell, L. M., Covert, D. S., Quinn, P. K., and Bates, T. S.: Carboxylic acids, sulfates, and organosulfates in processed continental organic aerosol over the southeast Pacific Ocean during VOCALS-REx 2008, J. Geophys. Res., 115,  D13201, <ext-link xlink:href="https://doi.org/10.1029/2009jd013276" ext-link-type="DOI">10.1029/2009jd013276</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>He, Q. F., Ding, X., Wang, X. M., Yu, J. Z., Fu, X. X., Liu, T. Y., Zhang, Z., Xue, J., Chen, D. H., Zhong, L. J., and Donahue, N. M.: Organosulfates from pinene and isoprene over the Pearl River Delta, South China: seasonal variation and implication in formation mechanisms, Environ. Sci. Technol., 48, 9236–9245, <ext-link xlink:href="https://doi.org/10.1021/es501299v" ext-link-type="DOI">10.1021/es501299v</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>He, Q. F., Ding, X., Fu, X. X., Zhang, Y. Q., Wang, J. Q., Liu, Y. X., Tang,
M. J., Wang, X. M., and Rudich, Y.: Secondary organic aerosol formation from
isoprene epoxides in the Pearl River Delta, South China: IEPOX- and
HMML-derived tracers, J. Geophys. Res.-Atmos., 123, 6999–7012, <ext-link xlink:href="https://doi.org/10.1029/2017jd028242" ext-link-type="DOI">10.1029/2017jd028242</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Hennigan, C. J., Izumi, J., Sullivan, A. P., Weber, R. J., and Nenes, A.: A critical evaluation of proxy methods used to estimate the acidity of atmospheric particles, Atmos. Chem. Phys., 15, 2775–2790, <ext-link xlink:href="https://doi.org/10.5194/acp-15-2775-2015" ext-link-type="DOI">10.5194/acp-15-2775-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Herrmann, H.: Kinetics of aqueous phase reactions relevant for atmospheric
chemistry, Chem. Rev., 103, 4691–4716, <ext-link xlink:href="https://doi.org/10.1021/cr020658q" ext-link-type="DOI">10.1021/cr020658q</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Hettiyadura, A. P. S., Stone, E. A., Kundu, S., Baker, Z., Geddes, E., Richards, K., and Humphry, T.: Determination of atmospheric organosulfates using HILIC chromatography with MS detection, Atmos. Meas. Tech., 8, 2347–2358, <ext-link xlink:href="https://doi.org/10.5194/amt-8-2347-2015" ext-link-type="DOI">10.5194/amt-8-2347-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Hettiyadura, A. P. S., Jayarathne, T., Baumann, K., Goldstein, A. H., de Gouw, J. A., Koss, A., Keutsch, F. N., Skog, K., and Stone, E. A.: Qualitative and quantitative analysis of atmospheric organosulfates in Centreville, Alabama, Atmos. Chem. Phys., 17, 1343–1359, <ext-link xlink:href="https://doi.org/10.5194/acp-17-1343-2017" ext-link-type="DOI">10.5194/acp-17-1343-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Hettiyadura, A. P. S., Al-Naiema, I. M., Hughes, D. D., Fang, T., and Stone, E. A.: Organosulfates in Atlanta, Georgia: anthropogenic influences on biogenic secondary organic aerosol formation, Atmos. Chem. Phys., 19, 3191–3206, <ext-link xlink:href="https://doi.org/10.5194/acp-19-3191-2019" ext-link-type="DOI">10.5194/acp-19-3191-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Hoffmann, T., Huang, R. J., and Kalberer, M.: Atmospheric analytical chemistry, Anal. Chem., 83, 4649–4664, <ext-link xlink:href="https://doi.org/10.1021/ac2010718" ext-link-type="DOI">10.1021/ac2010718</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Huang, L., Coddens, E. M., and Grassian, V. H.: Formation of organosulfur compounds from aqueous phase reactions of S(IV) with methacrolein and methyl vinyl ketone in the presence of transition metal ions, ACS Earth Space Chem., 3, 1749–1755, <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.9b00173" ext-link-type="DOI">10.1021/acsearthspacechem.9b00173</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Huang, L., Liu, T., and Grassian, V. H.: Radical-initiated formation of aromatic organosulfates and sulfonates in the aqueous phase, Environ. Sci. Technol., 54, 11857–11864, <ext-link xlink:href="https://doi.org/10.1021/acs.est.0c05644" ext-link-type="DOI">10.1021/acs.est.0c05644</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Huang, R.-J., Zhang, Y., Bozzetti, C., Ho, K.-F., Cao, J.-J., Han, Y.,
Daellenbach, K. R., Slowik, J. G., Platt, S. M., Canonaco, F., Zotter, P.,
Wolf, R., Pieber, S. M., Bruns, E. A., Crippa, M., Ciarelli, G.,
Piazzalunga, A., Schwikowski, M., Abbaszade, G., Schnelle-Kreis, J.,
Zimmermann, R., An, Z., Szidat, S., Baltensperger, U., El Haddad, I., and
Prevot, A. S. H.: High secondary aerosol contribution to particulate
pollution during haze events in China, Nature, 514, 218–222, <ext-link xlink:href="https://doi.org/10.1038/nature13774" ext-link-type="DOI">10.1038/nature13774</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Huang, R.-J., Cao, J., Chen, Y., Yang, L., Shen, J., You, Q., Wang, K., Lin, C., Xu, W., Gao, B., Li, Y., Chen, Q., Hoffmann, T., O'Dowd, C. D., Bilde, M., and Glasius, M.: Organosulfates in atmospheric aerosol: synthesis and quantitative analysis of PM<inline-formula><mml:math id="M816" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> from Xi'an, northwestern China, Atmos. Meas. Tech., 11, 3447–3456, <ext-link xlink:href="https://doi.org/10.5194/amt-11-3447-2018" ext-link-type="DOI">10.5194/amt-11-3447-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Iinuma, Y., Mueller, C., Berndt, T., Boege, O., Claeys, M., and Herrmann,
H.: Evidence for the existence of organosulfates from <inline-formula><mml:math id="M817" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene
ozonolysis in ambient secondary organic aerosol, Environ. Sci. Technol., 41,
6678–6683, 2007a.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Iinuma, Y., Mueller, C., Boege, O., Gnauk, T., and Herrmann, H.: The
formation of organic sulfate esters in the limonene ozonolysis secondary
organic aerosol (SOA) under acidic conditions, Atmos. Environ., 41,
5571–5583, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2007.03.007" ext-link-type="DOI">10.1016/j.atmosenv.2007.03.007</ext-link>, 2007b.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Iinuma, Y., Boege, O., Kahnt, A., and Herrmann, H.: Laboratory chamber
studies on the formation of organosulfates from reactive uptake of
monoterpene oxides, Phys. Chem. Chem. Phys., 11, 7985–7997, <ext-link xlink:href="https://doi.org/10.1039/b904025k" ext-link-type="DOI">10.1039/b904025k</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Jiang, P.-Y., Katsumura, Y., Domae, M., Ishikawa, K., Ishigure, K., and Yoshida, Y.: Pulse radiolysis study of concentrated sulfuric acid solutions. Formation mechanism, yield and reactivity of sulfate radicals, J. Chem. Soc. Faraday T., 88, 3319–3322, <ext-link xlink:href="https://doi.org/10.1039/ft9928801653" ext-link-type="DOI">10.1039/ft9928801653</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Jimenez, J. L., Canagaratna, M. R., Donahue, N. M., Prevot, A. S. H., Zhang, Q., Kroll, J. H., DeCarlo, P. F., Allan, J. D., Coe, H., Ng, N. L., Aiken, A. C., Docherty, K. S., Ulbrich, I. M., Grieshop, A. P., Robinson, A. L., Duplissy, J., Smith, J. D., Wilson, K. R., Lanz, V. A., Hueglin, C., Sun, Y. L., Tian, J., Laaksonen, A., Raatikainen, T., Rautiainen, J., Vaattovaara, P., Ehn, M., Kulmala, M., Tomlinson, J. M., Collins, D. R., Cubison, M. J., Dunlea, E. J., Huffman, J. A., Onasch, T. B., Alfarra, M. R., Williams, P. I., Bower, K., Kondo, Y., Schneider, J., Drewnick, F., Borrmann, S., Weimer, S., Demerjian, K., Salcedo, D., Cottrell, L., Griffin, R., Takami, A., Miyoshi, T., Hatakeyama, S., Shimono, A., Sun, J. Y., Zhang, Y. M., Dzepina, K., Kimmel, J. R., Sueper, D., Jayne, J. T., Herndon, S. C., Trimborn, A. M., Williams, L. R., Wood, E. C., Middlebrook, A. M., Kolb, C. E., Baltensperger, U., and Worsnop, D. R.: Evolution of organic aerosols in the atmosphere, Science, 326, 1525–1529, <ext-link xlink:href="https://doi.org/10.1126/science.1180353" ext-link-type="DOI">10.1126/science.1180353</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Johnston, M. V. and Kerecman, D. E.: Molecular characterization of
atmospheric organic aerosol by mass spectrometry, Annu. Rev. Anal. Chem.,
12, 247–274, <ext-link xlink:href="https://doi.org/10.1146/annurev-anchem-061516-045135" ext-link-type="DOI">10.1146/annurev-anchem-061516-045135</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Kourtchev, I., Godoi, R. H. M., Connors, S., Levine, J. G., Archibald, A. T., Godoi, A. F. L., Paralovo, S. L., Barbosa, C. G. G., Souza, R. A. F., Manzi, A. O., Seco, R., Sjostedt, S., Park, J.-H., Guenther, A., Kim, S., Smith, J., Martin, S. T., and Kalberer, M.: Molecular composition of organic aerosols in central Amazonia: an ultra-high-resolution mass spectrometry study, Atmos. Chem. Phys., 16, 11899–11913, <ext-link xlink:href="https://doi.org/10.5194/acp-16-11899-2016" ext-link-type="DOI">10.5194/acp-16-11899-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Kristensen, K. and Glasius, M.: Organosulfates and oxidation products from biogenic hydrocarbons in fine aerosols from a forest in North West Europe during spring, Atmos. Environ., 45, 4546–4556, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2011.05.063" ext-link-type="DOI">10.1016/j.atmosenv.2011.05.063</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Kundu, S., Quraishi, T. A., Yu, G., Suarez, C., Keutsch, F. N., and Stone, E. A.: Evidence and quantitation of aromati<?pagebreak page2977?>c organosulfates in ambient aerosols in Lahore, Pakistan, Atmos. Chem. Phys., 13, 4865–4875, <ext-link xlink:href="https://doi.org/10.5194/acp-13-4865-2013" ext-link-type="DOI">10.5194/acp-13-4865-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Le Breton, M., Wang, Y., Hallquist, Å. M., Pathak, R. K., Zheng, J., Yang, Y., Shang, D., Glasius, M., Bannan, T. J., Liu, Q., Chan, C. K., Percival, C. J., Zhu, W., Lou, S., Topping, D., Wang, Y., Yu, J., Lu, K., Guo, S., Hu, M., and Hallquist, M.: Online gas- and particle-phase measurements of organosulfates, organosulfonates and nitrooxy organosulfates in Beijing utilizing a FIGAERO ToF-CIMS, Atmos. Chem. Phys., 18, 10355–10371, <ext-link xlink:href="https://doi.org/10.5194/acp-18-10355-2018" ext-link-type="DOI">10.5194/acp-18-10355-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Lewandowski, M., Jaoui, M., Offenberg, J. H., Krug, J. D., and Kleindienst, T. E.: Atmospheric oxidation of isoprene and 1,3-butadiene: influence of aerosol acidity and relative humidity on secondary organic aerosol, Atmos. Chem. Phys., 15, 3773–3783, <ext-link xlink:href="https://doi.org/10.5194/acp-15-3773-2015" ext-link-type="DOI">10.5194/acp-15-3773-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Liao, J., Froyd, K. D., Murphy, D. M., Keutsch, F. N., Yu, G., Wennberg, P. O., St. Clair, J. M., Crounse, J. D., Wisthaler, A., Mikoviny, T., Jimenez, J. L., Campuzano-Jost, P., Day, D. A., Hu, W., Ryerson, T. B., Pollack, I. B., Peischl, J., Anderson, B. E., Ziemba, L. D., Blake, D. R., Meinardi, S., and Diskin, G.: Airborne measurements of organosulfates over the continental US, J. Geophys. Res.-Atmos., 120, 2990–3005, <ext-link xlink:href="https://doi.org/10.1002/2014jd022378" ext-link-type="DOI">10.1002/2014jd022378</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Lin, P., Yu, J. Z., Engling, G., and Kalberer, M.: Organosulfates in humic-like substance fraction isolated from aerosols at seven locations in East Asia: a study by ultra-high-resolution mass spectrometry, Environ. Sci. Technol., 46, 13118–13127, <ext-link xlink:href="https://doi.org/10.1021/es303570v" ext-link-type="DOI">10.1021/es303570v</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>Lin, Y. H., Zhang, Z., Docherty, K. S., Zhang, H., Budisulistiorini, S. H., Rubitschun, C. L., Shaw, S. L., Knipping, E. M., Edgerton, E. S., Kleindienst, T. E., Gold, A., and Surratt, J. D.: Isoprene epoxydiols as precursors to secondary organic aerosol formation: acid-catalyzed reactive uptake studies with authentic compounds, Environ. Sci. Technol., 46, 250–258, <ext-link xlink:href="https://doi.org/10.1021/es202554c" ext-link-type="DOI">10.1021/es202554c</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Lin, Y. H., Zhang, H., Pye, H. O., Zhang, Z., Marth, W. J., Park, S., Arashiro, M., Cui, T., Budisulistiorini, S. H., Sexton, K. G., Vizuete, W., Xie, Y., Luecken, D. J., Piletic, I. R., Edney, E. O., Bartolotti, L. J., Gold, A., and Surratt, J. D.: Epoxide as a precursor to secondary organic aerosol formation from isoprene photooxidation in the presence of nitrogen oxides, P. Natl. Acad. Sci. USA, 110, 6718–6723, <ext-link xlink:href="https://doi.org/10.1073/pnas.1221150110" ext-link-type="DOI">10.1073/pnas.1221150110</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Liu, M. X., Song, Y., Zhou, T., Xu, Z. Y., Yan, C. Q., Zheng, M., Wu, Z. J., Hu, M., Wu, Y. S., and Zhu, T.: Fine particle pH during severe haze episodes in northern China, Geophys. Res. Lett., 44, 5213–5221, <ext-link xlink:href="https://doi.org/10.1002/2017gl073210" ext-link-type="DOI">10.1002/2017gl073210</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>Liu, Y. and Wang, T.: Worsening urban ozone pollution in China from 2013 to 2017 – Part 2: The effects of emission changes and implications for multi-pollutant control, Atmos. Chem. Phys., 20, 6323–6337, <ext-link xlink:href="https://doi.org/10.5194/acp-20-6323-2020" ext-link-type="DOI">10.5194/acp-20-6323-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Lukács, H., Gelencsér, A., Hoffer, A., Kiss, G., Horváth, K., and Hartyáni, Z.: Quantitative assessment of organosulfates in size-segregated rural fine aerosol, Atmos. Chem. Phys., 9, 231–238, <ext-link xlink:href="https://doi.org/10.5194/acp-9-231-2009" ext-link-type="DOI">10.5194/acp-9-231-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Ma, Y., Xu, X., Song, W., Geng, F., and Wang, L.: Seasonal and diurnal variations of particulate organosulfates in urban Shanghai, China, Atmos. Environ., 85, 152–160, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2013.12.017" ext-link-type="DOI">10.1016/j.atmosenv.2013.12.017</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Mahowald, N.: Aerosol indirect effect on biogeochemical cycles and climate, Science, 334, 794–796, <ext-link xlink:href="https://doi.org/10.1126/science.1207374" ext-link-type="DOI">10.1126/science.1207374</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>McNeill, V. F., Woo, J. L., Kim, D. D., Schwier, A. N., Wannell, N. J., Sumner, A. J., and Barakat, J. M.: Aqueous-phase secondary organic aerosol and organosulfate formation in atmospheric aerosols: a modeling study, Environ. Sci. Technol., 46, 8075–8081, <ext-link xlink:href="https://doi.org/10.1021/es3002986" ext-link-type="DOI">10.1021/es3002986</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Meade, L. E., Riva, M., Blomberg, M. Z., Brock, A. K., Qualters, E. M., Siejack, R. A., Ramakrishnan, K., Surratt, J. D., and Kautzman, K. E.: Seasonal variations of fine particulate organosulfates derived from biogenic and anthropogenic hydrocarbons in the mid-Atlantic United States, Atmos. Environ., 145, 405–414, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2016.09.028" ext-link-type="DOI">10.1016/j.atmosenv.2016.09.028</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>Nah, T., Guo, H., Sullivan, A. P., Chen, Y., Tanner, D. J., Nenes, A., Russell, A., Ng, N. L., Huey, L. G., and Weber, R. J.: Characterization of aerosol composition, aerosol acidity, and organic acid partitioning at an agriculturally intensive rural southeastern US site, Atmos. Chem. Phys., 18, 11471–11491, <ext-link xlink:href="https://doi.org/10.5194/acp-18-11471-2018" ext-link-type="DOI">10.5194/acp-18-11471-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Nestorowicz, K., Jaoui, M., Rudzinski, K. J., Lewandowski, M., Kleindienst, T. E., Spólnik, G., Danikiewicz, W., and Szmigielski, R.: Chemical composition of isoprene SOA under acidic and non-acidic conditions: effect of relative humidity, Atmos. Chem. Phys., 18, 18101–18121, <ext-link xlink:href="https://doi.org/10.5194/acp-18-18101-2018" ext-link-type="DOI">10.5194/acp-18-18101-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>Nguyen, Q. T., Christensen, M. K., Cozzi, F., Zare, A., Hansen, A. M. K., Kristensen, K., Tulinius, T. E., Madsen, H. H., Christensen, J. H., Brandt, J., Massling, A., Nøjgaard, J. K., and Glasius, M.: Understanding the anthropogenic influence on formation of biogenic secondary organic aerosols in Denmark via analysis of organosulfates and related oxidation products, Atmos. Chem. Phys., 14, 8961–8981, <ext-link xlink:href="https://doi.org/10.5194/acp-14-8961-2014" ext-link-type="DOI">10.5194/acp-14-8961-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Nguyen, T. B., Lee, P. B., Updyke, K. M., Bones, D. L., Laskin, J., Laskin,
A., and Nizkorodov, S. A.: Formation of nitrogen- and sulfur-containing
light-absorbing compounds accelerated by evaporation of water from secondary
organic aerosols, J. Geophys. Res.-Atmos., 117, D01207, <ext-link xlink:href="https://doi.org/10.1029/2011jd016944" ext-link-type="DOI">10.1029/2011jd016944</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Nguyen, T. B., Bates, K. H., Crounse, J. D., Schwantes, R. H., Zhang, X.,
Kjaergaard, H. G., Surratt, J. D., Lin, P., Laskin, A., Seinfeld, J. H., and
Wennberg, P. O.: Mechanism of the hydroxyl radical oxidation of methacryloyl
peroxynitrate (MPAN) and its pathway toward secondary organic aerosol
formation in the atmosphere, Phys. Chem. Chem. Phys., 17, 17914–17926, <ext-link xlink:href="https://doi.org/10.1039/c5cp02001h" ext-link-type="DOI">10.1039/c5cp02001h</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>Nozière, B., Ekström, S., Alsberg, T., and Holmström, S.: Radical-initiated formation of organosulfates and surfactants in atmospheric aerosols, Geophys. Res. Lett., 37, L05806, <ext-link xlink:href="https://doi.org/10.1029/2009gl041683" ext-link-type="DOI">10.1029/2009gl041683</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>Nozière, B., Kalberer, M., Claeys, M., Allan, J., D'Anna, B., Decesari, S., Finessi, E., Glasius, M., Grgic, I., Hamilton, J. F., Hoffmann, T., Iinuma, Y., Jaoui, M., Kahno, A., Kampf, C. J., Kourtchev, I., Maenhaut, W., Marsden, N., Saarikoski, S., Schnelle-Kreis, J., Surratt, J. D., Szidat, S., Szmigielski, R., and Wisthaler, A.: The molecular identification of organi<?pagebreak page2978?>c compounds in the atmosphere: state of the art and challenges, Chem. Rev., 115, 3919–3983, <ext-link xlink:href="https://doi.org/10.1021/cr5003485" ext-link-type="DOI">10.1021/cr5003485</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>Olson, C. N., Galloway, M. M., Yu, G., Hedman, C. J., Lockett, M. R., Yoon,
T., Stone, E. A., Smith, L. M., and Keutsch, F. N.: Hydroxycarboxylic
acid-derived organosulfates: synthesis, stability, and quantification in
ambient aerosol, Environ. Sci. Technol., 45, 6468–6474, <ext-link xlink:href="https://doi.org/10.1021/es201039p" ext-link-type="DOI">10.1021/es201039p</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>Olson, N. E., Lei, Z. Y., Craig, R. L., Zhang, Y., Chen, Y. Z., Lambe, A.
T., Zhang, Z. F., Gold, A., Surratt, J. D., and Ault, A. P.: Reactive uptake
of isoprene epoxydiols increases the viscosity of the core of
phase-separated aerosol particles, ACS Earth Space Chem., 3, 1402–1414, <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.9b00138" ext-link-type="DOI">10.1021/acsearthspacechem.9b00138</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>Passananti, M., Kong, L., Shang, J., Dupart, Y., Perrier, S., Chen, J.,
Donaldson, D. J., and George, C.: Organosulfate formation through the
heterogeneous reaction of sulfur dioxide with unsaturated fatty acids and
long-chain alkenes, Angew. Chem. Int. Ed. Engl., 55, 10336–10339, <ext-link xlink:href="https://doi.org/10.1002/anie.201605266" ext-link-type="DOI">10.1002/anie.201605266</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 1?><mixed-citation>Pye, H. O. T., Pinder, R. W., Piletic, I. R., Xie, Y., Capps, S. L., Lin, Y.
H., Surratt, J. D., Zhang, Z. F., Gold, A., Luecken, D. J., Hutzell, W. T.,
Jaoui, M., Offenberg, J. H., Kleindienst, T. E., Lewandowski, M., and Edney,
E. O.: Epoxide pathways improve model predictions of isoprene markers and
reveal key role of acidity in aerosol formation, Environ. Sci. Technol., 47,
11056–11064, <ext-link xlink:href="https://doi.org/10.1021/es402106h" ext-link-type="DOI">10.1021/es402106h</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><?label 1?><mixed-citation>Ramanathan, V., Crutzen, P. J., Lelieveld, J., Mitra, A. P., Althausen, D.,
Anderson, J., Andreae, M. O., Cantrell, W., Cass, G. R., Chung, C. E.,
Clarke, A. D., Coakley, J. A., Collins, W. D., Conant, W. C., Dulac, F.,
Heintzenberg, J., Heymsfield, A. J., Holben, B., Howell, S., Hudson, J.,
Jayaraman, A., Kiehl, J. T., Krishnamurti, T. N., Lubin, D., McFarquhar, G.,
Novakov, T., Ogren, J. A., Podgorny, I. A., Prather, K., Priestley, K.,
Prospero, J. M., Quinn, P. K., Rajeev, K., Rasch, P., Rupert, S., Sadourny,
R., Satheesh, S. K., Shaw, G. E., Sheridan, P., and Valero, F. P. J.: Indian
Ocean Experiment: an integrated analysis of the climate forcing and effects
of the great Indo-Asian haze, J. Geophys. Res.-Atmos., 106, 28371–28398, <ext-link xlink:href="https://doi.org/10.1029/2001jd900133" ext-link-type="DOI">10.1029/2001jd900133</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><?label 1?><mixed-citation>Rattanavaraha, W., Chu, K., Budisulistiorini, S. H., Riva, M., Lin, Y.-H., Edgerton, E. S., Baumann, K., Shaw, S. L., Guo, H., King, L., Weber, R. J., Neff, M. E., Stone, E. A., Offenberg, J. H., Zhang, Z., Gold, A., and Surratt, J. D.: Assessing the impact of anthropogenic pollution on isoprene-derived secondary organic aerosol formation in PM<inline-formula><mml:math id="M818" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> collected from the Birmingham, Alabama, ground site during the 2013 Southern Oxidant and Aerosol Study, Atmos. Chem. Phys., 16, 4897–4914, <ext-link xlink:href="https://doi.org/10.5194/acp-16-4897-2016" ext-link-type="DOI">10.5194/acp-16-4897-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><?label 1?><mixed-citation>Riva, M., Tomaz, S., Cui, T., Lin, Y. H., Perraudin, E., Gold, A., Stone, E. A., Villenave, E., and Surratt, J. D.: Evidence for an unrecognized secondary anthropogenic source of organosulfates and sulfonates: gas-phase oxidation of polycyclic aromatic hydrocarbons in the presence of sulfate aerosol, Environ. Sci. Technol., 49, 6654–6664, <ext-link xlink:href="https://doi.org/10.1021/acs.est.5b00836" ext-link-type="DOI">10.1021/acs.est.5b00836</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><?label 1?><mixed-citation>Riva, M., Budisulistiorini, S. H., Zhang, Z. F., Gold, A., and Surratt, J. D.: Chemical characterization of secondary organic aerosol constituents from isoprene ozonolysis in the presence of acidic aerosol, Atmos. Environ., 130, 5–13, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.06.027" ext-link-type="DOI">10.1016/j.atmosenv.2015.06.027</ext-link>, 2016a.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><?label 1?><mixed-citation>Riva, M., Da Silva Barbosa, T., Lin, Y.-H., Stone, E. A., Gold, A., and Surratt, J. D.: Chemical characterization of organosulfates in secondary organic aerosol derived from the photooxidation of alkanes, Atmos. Chem. Phys., 16, 11001–11018, <ext-link xlink:href="https://doi.org/10.5194/acp-16-11001-2016" ext-link-type="DOI">10.5194/acp-16-11001-2016</ext-link>, 2016b.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><?label 1?><mixed-citation>Riva, M., Chen, Y., Zhang, Y., Lei, Z., Olson, N. E., Boyer, H. C., Narayan,
S., Yee, L. D., Green, H. S., Cui, T., Zhang, Z., Baumann, K., Fort, M.,
Edgerton, E., Budisulistiorini, S. H., Rose, C. A., Ribeiro, I. O., RL, E.
O., Dos Santos, E. O., Machado, C. M. D., Szopa, S., Zhao, Y., Alves, E. G.,
de Sa, S. S., Hu, W., Knipping, E. M., Shaw, S. L., Duvoisin Junior, S., de
Souza, R. A. F., Palm, B. B., Jimenez, J. L., Glasius, M., Goldstein, A. H.,
Pye, H. O. T., Gold, A., Turpin, B. J., Vizuete, W., Martin, S. T.,
Thornton, J. A., Dutcher, C. S., Ault, A. P., and Surratt, J. D.: Increasing
isoprene epoxydiol-to-inorganic sulfate aerosol ratio results in extensive
conversion of inorganic sulfate to organosulfur forms: implications for
aerosol physicochemical properties, Environ. Sci. Technol., 53, 8682–8694, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b01019" ext-link-type="DOI">10.1021/acs.est.9b01019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><?label 1?><mixed-citation>Schindelka, J., Iinuma, Y., Hoffmann, D., and Herrmann, H.: Sulfate
radical-initiated formation of isoprene-derived organosulfates in
atmospheric aerosols, Faraday Discuss., 165, 237–259, <ext-link xlink:href="https://doi.org/10.1039/c3fd00042g" ext-link-type="DOI">10.1039/c3fd00042g</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><?label 1?><mixed-citation>Shakya, K. M. and Peltier, R. E.: Investigating missing sources of sulfur at
Fairbanks, Alaska, Environ. Sci. Technol., 47, 9332–9338, <ext-link xlink:href="https://doi.org/10.1021/es402020b" ext-link-type="DOI">10.1021/es402020b</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><?label 1?><mixed-citation>Shakya, K. M. and Peltier, R. E.: Non-sulfate sulfur in fine aerosols across the United States: Insight for organosulfate prevalence, Atmos. Environ., 100, 159–166, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.10.058" ext-link-type="DOI">10.1016/j.atmosenv.2014.10.058</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><?label 1?><mixed-citation>Shalamzari, M. S., Ryabtsova, O., Kahnt, A., Vermeylen, R., Herent, M. F., Quetin-Leclercq, J., Van der Veken, P., Maenhaut, W., and Claeys, M.: Mass spectrometric characterization of organosulfates related to secondary organic aerosol from isoprene, Rapid Commun. Mass Sp., 27, 784–794, <ext-link xlink:href="https://doi.org/10.1002/rcm.6511" ext-link-type="DOI">10.1002/rcm.6511</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><?label 1?><mixed-citation>Shang, J., Passananti, M., Dupart, Y., Ciuraru, R., Tinel, L., Rossignol, S., Perrier, S., Zhu, T., and George, C.: SO<inline-formula><mml:math id="M819" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> uptake on oleic acid: a new formation pathway of organosulfur compounds in the atmosphere, Environ. Sci. Technol. Lett., 3, 67–72, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.6b00006" ext-link-type="DOI">10.1021/acs.estlett.6b00006</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><?label 1?><mixed-citation>Shi, G. L., Xu, J., Peng, X., Xiao, Z. M., Chen, K., Tian, Y. Z., Guan, X. B., Feng, Y. C., Yu, H. F., Nenes, A., and Russell, A. G.: aerosols in a polluted atmosphere: source contributions to highly acidic aerosol, Environ. Sci. Technol., 51, 4289–4296, <ext-link xlink:href="https://doi.org/10.1021/acs.est.6b05736" ext-link-type="DOI">10.1021/acs.est.6b05736</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><?label 1?><mixed-citation>Shiraiwa, M., Ammann, M., Koop, T., and Pöschl, U.: Gas uptake and chemical aging of semisolid organic aerosol particles, P. Natl. Acad. Sci. USA, 108, 11003–11008, <ext-link xlink:href="https://doi.org/10.1073/pnas.1103045108" ext-link-type="DOI">10.1073/pnas.1103045108</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><?label 1?><mixed-citation>Shrivastava, M., Cappa, C. D., Fan, J. W., Goldstein, A. H., Guenther, A.
B., Jimenez, J. L., Kuang, C., Laskin, A., Martin, S. T., Ng, N. L., Petaja,
T., Pierce, J. R., Rasch, P. J., Roldin, P., Seinfeld, J. H., Shilling, J.,
Smith, J. N., Thornton, J. A., Volkamer, R., Wang, J., Worsnop, D. R.,
Zaveri, R. A., Zelenyuk, A., and Zhang, Q.: Recent advances in understanding
secondary organi<?pagebreak page2979?>c aerosol: Implications for global climate forcing, Rev.
Geophys., 55, 509–559, 2017.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><?label 1?><mixed-citation>Song, S., Nenes, A., Gao, M., Zhang, Y., Liu, P., Shao, J., Ye, D., Xu, W., Lei, L., Sun, Y., Liu, B., Wang, S., and McElroy, M. B.: Thermodynamic modeling suggests declines in water uptake and acidity of inorganic aerosols in Beijing winter haze events during 2014/2015–2018/2019, Environ. Sci. Technol. Lett., 6, 752–760, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.9b00621" ext-link-type="DOI">10.1021/acs.estlett.9b00621</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib91"><label>91</label><?label 1?><mixed-citation>Staudt, S., Kundu, S., Lehmler, H. J., He, X., Cui, T., Lin, Y. H., Kristensen, K., Glasius, M., Zhang, X., Weber, R. J., Surratt, J. D., and Stone, E. A.: Aromatic organosulfates in atmospheric aerosols: synthesis, characterization, and abundance, Atmos. Environ., 94, 366–373, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.05.049" ext-link-type="DOI">10.1016/j.atmosenv.2014.05.049</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><?label 1?><mixed-citation>Stone, E. A., Yang, L., Yu, L. E., and Rupakheti, M.: Characterization of organosulfates in atmospheric aerosols at Four Asian locations, Atmos. Environ., 47, 323–329, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2011.10.058" ext-link-type="DOI">10.1016/j.atmosenv.2011.10.058</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib93"><label>93</label><?label 1?><mixed-citation>Surratt, J. D., Kroll, J. H., Kleindienst, T. E., Edney, E. O., Claeys, M., Sorooshian, A., Ng, N. L., Offenberg, J. H., Lewandowski, M., Jaoui, M., Flagan, R. C., and Seinfeld, J. H.: Evidence for organosulfates in secondary organic aerosol, Environ. Sci. Technol., 41, 517–527, <ext-link xlink:href="https://doi.org/10.1021/es062081q" ext-link-type="DOI">10.1021/es062081q</ext-link>, 2007a.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><?label 1?><mixed-citation>Surratt, J. D., Lewandowski, M., Offenberg, J. H., Jaoui, M., Kleindienst, T. E., Edney, E. O., and Seinfeld, J. H.: Effect of acidity on secondary organic aerosol formation from isoprene, Environ. Sci. Technol., 41, 5363–5369, <ext-link xlink:href="https://doi.org/10.1021/es0704176" ext-link-type="DOI">10.1021/es0704176</ext-link>, 2007b.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><?label 1?><mixed-citation>Surratt, J. D., Gómez-González, Y., Chan, A. W. H., Vermeylen, R., Shahgholi, M., Kleindienst, T. E., Edney, E. O., Offenberg, J. H., Lewandowski, M., Jaoui, M., Maenhaut, W., Claeys, M., Richard C. Flagan, and Seinfeld, J. H.: Organosulfate formation in biogenic secondary organic aerosol, J. Phys. Chem. A, 36, 8345–8378, 2008.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><?label 1?><mixed-citation>Surratt, J. D., Chan, A. W., Eddingsaas, N. C., Chan, M., Loza, C. L., Kwan, A. J., Hersey, S. P., Flagan, R. C., Wennberg, P. O., and Seinfeld, J. H.: Reactive intermediates revealed in secondary organic aerosol formation from isoprene, P. Natl. Acad. Sci. USA, 107, 6640–6645, <ext-link xlink:href="https://doi.org/10.1073/pnas.0911114107" ext-link-type="DOI">10.1073/pnas.0911114107</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib97"><label>97</label><?label 1?><mixed-citation>Tao, J., Zhang, L., Cao, J., and Zhang, R.: A review of current knowledge concerning PM<inline-formula><mml:math id="M820" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chemical composition, aerosol optical properties and their relationships across China, Atmos. Chem. Phys., 17, 9485–9518, <ext-link xlink:href="https://doi.org/10.5194/acp-17-9485-2017" ext-link-type="DOI">10.5194/acp-17-9485-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><?label 1?><mixed-citation>Tao, S., Lu, X., Levac, N., Bateman, A. P., Nguyen, T. B., Bones, D. L.,
Nizkorodov, S. A., Laskin, J., Laskin, A., and Yang, X.: Molecular
characterization of organosulfates in organic aerosols from Shanghai and Los
Angeles urban areas by nanospray-desorption electrospray ionization
high-resolution mass spectrometry, Environ. Sci. Technol., 48, 10993–11001, <ext-link xlink:href="https://doi.org/10.1021/es5024674" ext-link-type="DOI">10.1021/es5024674</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib99"><label>99</label><?label 1?><mixed-citation>Tolocka, M. P. and Turpin, B.: Contribution of organosulfur compounds to organic aerosol mass, Environ. Sci. Technol., 46, 7978–7983, <ext-link xlink:href="https://doi.org/10.1021/es300651v" ext-link-type="DOI">10.1021/es300651v</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib100"><label>100</label><?label 1?><mixed-citation>Wach, P., Spolnik, G., Rudzinski, K. J., Skotak, K., Claeys, M.,
Danikiewicz, W., and Szmigielski, R.: Radical oxidation of methyl vinyl
ketone and methacrolein in aqueous droplets: characterization of
organosulfates and atmospheric implications, Chemosphere, 214, 1–9, <ext-link xlink:href="https://doi.org/10.1016/j.chemosphere.2018.09.026" ext-link-type="DOI">10.1016/j.chemosphere.2018.09.026</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib101"><label>101</label><?label 1?><mixed-citation>Wang, H. C., Chen, X. R., Lu, K. D., Hu, R. Z., Li, Z. Y., Wang, H. L., Ma, X. F., Yang, X. P., Chen, S. Y., Dong, H. B., Liu, Y., Fang, X., Zeng, L. M., Hu, M., and Zhang, Y. H.: NO<inline-formula><mml:math id="M821" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math id="M822" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M823" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> chemistry at a suburban site during the EXPLORE-YRD campaign in 2018, Atmos. Environ., 224, 117180, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.117180" ext-link-type="DOI">10.1016/j.atmosenv.2019.117180</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib102"><label>102</label><?label 1?><mixed-citation>Wang, H. L., Qiao, L. P., Lou, S. R., Zhou, M., Ding, A. J., Huang, H. Y., Chen, J. M., Wang, Q., Tao, S. K., Chen, C. H., Li, L., and Huang, C.: Chemical composition of PM<inline-formula><mml:math id="M824" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and meteorological impact among three years in urban Shanghai, China, J. Clean Prod., 112, 1302–1311, <ext-link xlink:href="https://doi.org/10.1016/j.jclepro.2015.04.099" ext-link-type="DOI">10.1016/j.jclepro.2015.04.099</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib103"><label>103</label><?label 1?><mixed-citation>Wang, J. J., Lu, X. M., Yan, Y. T., Zhou, L. G., and Ma, W. C.:
Spatiotemporal characteristics of PM<inline-formula><mml:math id="M825" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration in the Yangtze
River Delta urban agglomeration, China on the application of big data and
wavelet analysis, Sci. Total Environ., 724, 138134, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.138134" ext-link-type="DOI">10.1016/j.scitotenv.2020.138134</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib104"><label>104</label><?label 1?><mixed-citation>Wang, K., Zhang, Y., Huang, R. J., Wang, M., Ni, H., Kampf, C. J., Cheng, Y., Bilde, M., Glasius, M., and Hoffmann, T.: Molecular characterization and source identification of atmospheric particulate organosulfates using ultrahigh resolution mass spectrometry, Environ. Sci. Technol., 53, 6192–6202, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b02628" ext-link-type="DOI">10.1021/acs.est.9b02628</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib105"><label>105</label><?label 1?><mixed-citation>Wang, S. Y., Zhou, S. M., Tao, Y., Tsui, W. G., Ye, J. H., Yu, J. Z.,
Murphy, J. G., McNeill, V. F., Abbatt, J. P. D., and Chan, A. W. H.: Organic
peroxides and sulfur dioxide in aerosol: source of particulate sulfate,
Environ. Sci. Technol., 53, 10695–10704, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b02591" ext-link-type="DOI">10.1021/acs.est.9b02591</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib106"><label>106</label><?label 1?><mixed-citation>Wang, X. K., Rossignol, S., Ma, Y., Yao, L., Wang, M. Y., Chen, J. M., George, C., and Wang, L.: Molecular characterization of atmospheric particulate organosulfates in three megacities at the middle and lower reaches of the Yangtze River, Atmos. Chem. Phys., 16, 2285–2298, <ext-link xlink:href="https://doi.org/10.5194/acp-16-2285-2016" ext-link-type="DOI">10.5194/acp-16-2285-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib107"><label>107</label><?label 1?><mixed-citation>Wang, Y., Ren, J., Huang, X. H. H., Tong, R., and Yu, J. Z.: Synthesis of
four monoterpene-derived organosulfates and their quantification in
atmospheric aerosol samples, Environ. Sci. Technol., 51, 6791–6801, <ext-link xlink:href="https://doi.org/10.1021/acs.est.7b01179" ext-link-type="DOI">10.1021/acs.est.7b01179</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib108"><label>108</label><?label 1?><mixed-citation>Wang, Y., Hu, M., Guo, S., Wang, Y., Zheng, J., Yang, Y., Zhu, W., Tang, R., Li, X., Liu, Y., Le Breton, M., Du, Z., Shang, D., Wu, Y., Wu, Z., Song, Y., Lou, S., Hallquist, M., and Yu, J.: The secondary formation of organosulfates under interactions between biogenic emissions and anthropogenic pollutants in summer in Beijing, Atmos. Chem. Phys., 18, 10693–10713, <ext-link xlink:href="https://doi.org/10.5194/acp-18-10693-2018" ext-link-type="DOI">10.5194/acp-18-10693-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib109"><label>109</label><?label 1?><mixed-citation>Wen, L., Xue, L., Wang, X., Xu, C., Chen, T., Yang, L., Wang, T., Zhang, Q., and Wang, W.: Summertime fine particulate nitrate pollution in the North China Plain: increasing trends, formation mechanisms and implications for control policy, Atmos. Chem. Phys., 18, 11261–11275, <ext-link xlink:href="https://doi.org/10.5194/acp-18-11261-2018" ext-link-type="DOI">10.5194/acp-18-11261-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib110"><label>110</label><?label 1?><mixed-citation>Worton, D. R., Surratt, J. D., Lafranchi, B. W., Chan, A. W., Zhao, Y.,
Weber, R. J., Park, J. H., Gilman, J. B., de Gouw, J., Park, C., Schade, G.,
Beaver, M., Clair, J. M., Crounse, J., Wennberg, P., Wolfe, G. M., Harrold,
S., Thornton, J. A., Farmer, D. K., Docherty, K. S., Cubison, M. J.,
Jimenez, J. L., Frossard, A. A., Russell, L. M., Kristensen, K., Glasius,
M., Mao, J., Ren, X.<?pagebreak page2980?>, Brune, W., Browne, E. C., Pusede, S. E., Cohen, R. C.,
Seinfeld, J. H., and Goldstein, A. H.: Observational insights into aerosol
formation from isoprene, Environ. Sci. Technol., 47, 11403–11413, <ext-link xlink:href="https://doi.org/10.1021/es4011064" ext-link-type="DOI">10.1021/es4011064</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib111"><label>111</label><?label 1?><mixed-citation>Yao, M., Zhao, Y., Hu, M., Huang, D., Wang, Y., Yu, J. Z., and Yan, N.: Multiphase reactions between secondary organic aerosol and sulfur dioxide: kinetics and contributions to sulfate formation and aerosol aging, Environ. Sci. Technol. Lett., 6, 768–774, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.9b00657" ext-link-type="DOI">10.1021/acs.estlett.9b00657</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib112"><label>112</label><?label 1?><mixed-citation>Yassine, M. M., Dabek-Zlotorzynska, E., Harir, M., and Schmitt-Kopplin, P.:
Identification of weak and strong organic acids in atmospheric aerosols by
capillary electrophoresis/mass spectrometry and ultra-high-resolution
fourier transform ion cyclotron resonance mass spectrometry, Anal. Chem.,
84, 6586–6594, <ext-link xlink:href="https://doi.org/10.1021/ac300798g" ext-link-type="DOI">10.1021/ac300798g</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib113"><label>113</label><?label 1?><mixed-citation>Zhang, H., Worton, D. R., Lewandowski, M., Ortega, J., Rubitschun, C. L.,
Park, J. H., Kristensen, K., Campuzano-Jost, P., Day, D. A., Jimenez, J. L.,
Jaoui, M., Offenberg, J. H., Kleindienst, T. E., Gilman, J., Kuster, W. C.,
de Gouw, J., Park, C., Schade, G. W., Frossard, A. A., Russell, L., Kaser,
L., Jud, W., Hansel, A., Cappellin, L., Karl, T., Glasius, M., Guenther, A.,
Goldstein, A. H., Seinfeld, J. H., Gold, A., Kamens, R. M., and Surratt, J.
D.: Organosulfates as tracers for secondary organic aerosol (SOA) formation
from 2-methyl-3-buten-2-ol (MBO) in the atmosphere, Environ. Sci. Technol.,
46, 9437–9446, <ext-link xlink:href="https://doi.org/10.1021/es301648z" ext-link-type="DOI">10.1021/es301648z</ext-link>, 2012.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib114"><label>114</label><?label 1?><mixed-citation>Zhang, H., Zhang, Z., Cui, T., Lin, Y. H., Bhathela, N. A., Ortega, J.,
Worton, D. R., Goldstein, A. H., Guenther, A., Jimenez, J. L., Gold, A., and
Surratt, J. D.: Secondary organic aerosol formation via
2-methyl-3-buten-2-ol photooxidation: evidence of acid-catalyzed reactive
uptake of epoxides, Environ. Sci. Technol. Lett., 1, 242–247, <ext-link xlink:href="https://doi.org/10.1021/ez500055f" ext-link-type="DOI">10.1021/ez500055f</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib115"><label>115</label><?label 1?><mixed-citation>Zheng, G., Su, H., Wang, S., Andreae, M. O., Pöschl, U., and Cheng, Y.:
Multiphase buffer theory explains contrasts in atmospheric aerosol acidity,
Science, 369, 1374–1377, <ext-link xlink:href="https://doi.org/10.1126/science.aba3719" ext-link-type="DOI">10.1126/science.aba3719</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib116"><label>116</label><?label 1?><mixed-citation>Zhu, M., Jiang, B., Li, S., Yu, Q., Yu, X., Zhang, Y., Bi, X., Yu, J.,
George, C., Yu, Z., and Wang, X.: Organosulfur compounds formed from
heterogeneous reaction between SO<inline-formula><mml:math id="M826" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and particulate-bound unsaturated fatty
acids in ambient air, Environ. Sci. Technol. Lett., 6, 318–322, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.9b00218" ext-link-type="DOI">10.1021/acs.estlett.9b00218</ext-link>, 2019.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Organosulfates in atmospheric aerosols in Shanghai, China: seasonal and interannual variability, origin, and formation mechanisms</article-title-html>
<abstract-html><p>Organosulfates (OSs) are ubiquitous in the atmosphere and serve as important
tracers for secondary organic aerosols (SOAs). Despite intense research over
the years, the abundance, origin, and formation mechanisms of OSs in ambient
aerosols, particularly in regions with severe anthropogenic pollution, are
still not well understood. In this study, we collected filter samples of
ambient fine particulate matter (PM<sub>2.5</sub>) over four seasons in both
2015–2016 and 2018–2019 at an urban site in Shanghai, China, and
comprehensively characterized the OS species in these PM<sub>2.5</sub> samples
using an ultra-performance liquid chromatography quadrupole time-of-flight
mass spectrometer equipped with an electrospray ionization (ESI) source
(UPLC-ESI-QToFMS). Overall, we find that while the concentration of organic aerosols
(OAs) decreased by 29&thinsp;% in 2018–2019 compared to that in 2015–2016, mainly
as a result of the reduction of anthropogenic pollutant emissions in eastern
China, the annually averaged concentrations of 35 quantified OSs were similar in both years (65.5&thinsp;±&thinsp;77.5&thinsp;ng&thinsp;m<sup>−3</sup>, 0.57&thinsp;%&thinsp;±&thinsp;0.56&thinsp;% of OA in 2015–2016 vs. 59.4&thinsp;±&thinsp;79.7&thinsp;ng&thinsp;m<sup>−3</sup>,
0.66&thinsp;%&thinsp;±&thinsp;0.56&thinsp;% of OA in 2018–2019), suggesting an increased
contribution of SOAs to OAs in 2018–2019 compared to 2015–2016. Isoprene- and
monoterpene-derived OSs were the two most abundant OS families, on average,
accounting for 36.3&thinsp;% and 31.0&thinsp;% of the quantified OS concentrations,
respectively, during both sampling years, suggesting an important
contribution of biogenic emissions to the production of OSs and SOAs in
Shanghai. The abundance of biogenic OSs, particularly those arising from
isoprene, exhibited strong seasonality (peaked in summer) but no significant
interannual variability. In contrast, the quantified anthropogenic OSs had
little seasonal variability and declined in 2018–2019 compared with those in
2015–2016. The C<sub>2</sub> and C<sub>3</sub> OS species that have both biogenic and
anthropogenic origins contributed, on average, 19.0&thinsp;% of the quantified
OSs, with C<sub>2</sub>H<sub>3</sub>O<sub>6</sub>S<sup>−</sup>, C<sub>3</sub>H<sub>5</sub>O<sub>5</sub>S<sup>−</sup>, and
C<sub>3</sub>H<sub>5</sub>O<sub>6</sub>S<sup>−</sup> being the most abundant species, together
accounting for 76&thinsp;% of the C<sub>2</sub> and C<sub>3</sub> OS concentrations in 2015–2016
and 2018–2019. 2-Methyltetrol sulfate (2-MTS,
C<sub>5</sub>H<sub>11</sub>O<sub>7</sub>S<sup>−</sup>) and monoterpene-derived
C<sub>10</sub>H<sub>16</sub>NO<sub>7</sub>S<sup>−</sup> were the most abundant OSs and nitrooxy OSs in
summer, on average, contributing 31&thinsp;% and 5&thinsp;% of the quantified OSs,
respectively, during the summertime of the sampling years. The substantially
larger concentration ratio of 2-MTS to 2-methylglyceric acid sulfate
(2-MAS, C<sub>4</sub>H<sub>7</sub>O<sub>7</sub>S<sup>−</sup>) in summer (6.8–7.8) compared to the other
seasons (0.31–0.78) implies that low-NO<sub><i>x</i></sub> oxidation pathways played a
dominant role in isoprene-derived SOA formation in summer, while
high-NO<sub><i>x</i></sub> reaction pathways were more important in other seasons. We
further find that the production of OSs was largely controlled by the level
of O<sub><i>x</i></sub> (O<sub><i>x</i></sub> =  O<sub>3</sub>+ NO<sub>2</sub>), namely the photochemistry of
OS precursors, particularly in summer, though sulfate concentration,
aerosol acidity, and aerosol liquid water content (ALWC) that could
affect the heterogeneous chemistry of reactive intermediates leading to OS
formation also played a role. Our study provides valuable insights into the
characteristics and mechanisms of OS formation in a typical Chinese megacity
and implies that the mitigation of O<sub><i>x</i></sub> pollution can effectively reduce the
production of OSs and SOAs in eastern China.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Behera, S. N., Cheng, J., Huang, X., Zhu, Q., Liu, P., and Balasubramanian,
R.: Chemical composition and acidity of size-fractionated inorganic aerosols
of 2013-14 winter haze in Shanghai and associated health risk of toxic
elements, Atmos. Environ., 122, 259–271, <a href="https://doi.org/10.1016/j.atmosenv.2015.09.053" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.09.053</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>Blair, S. L., MacMillan, A. C., Drozd, G. T., Goldstein, A. H., Chu, R. K., Pasa-Tolic, L., Shaw, J. B., Tolic, N., Lin, P., Laskin, J., Laskin, A., and Nizkorodov, S. A.: Molecular characterization of organosulfur compounds in biodiesel and diesel fuel secondary organic aerosol, Environ. Sci. Technol.,
51, 119–127, <a href="https://doi.org/10.1021/acs.est.6b03304" target="_blank">https://doi.org/10.1021/acs.est.6b03304</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>Borbon, A., Fontaine, H., Veillerot, M., Locoge, N., Galloo, J. C., and Guillermo, R.: An investigation into the traffic-related fraction of isoprene at an urban location, Atmos. Environ., 35, 3749–3760, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>Brüggemann, M., Poulain, L., Held, A., Stelzer, T., Zuth, C., Richters, S., Mutzel, A., van Pinxteren, D., Iinuma, Y., Katkevica, S., Rabe, R., Herrmann, H., and Hoffmann, T.: Real-time detection of highly oxidized organosulfates and BSOA marker compounds during the F-BEACh 2014 field study, Atmos. Chem. Phys., 17, 1453–1469, <a href="https://doi.org/10.5194/acp-17-1453-2017" target="_blank">https://doi.org/10.5194/acp-17-1453-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>Brüggemann, M., Xu, R. S., Tilgner, A., Kwong, K. C., Mutzel, A., Poon, H. Y., Otto, T., Schaefer, T., Poulain, L., Chan, M. N., and Herrmann, H.: Organosulfates in ambient aerosol: state of knowledge and future research directions on formation, abundance, fate, and importance, Environ. Sci. Technol., 54, 3767–3782, <a href="https://doi.org/10.1021/acs.est.9b06751" target="_blank">https://doi.org/10.1021/acs.est.9b06751</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>Bryant, D. J., Dixon, W. J., Hopkins, J. R., Dunmore, R. E., Pereira, K. L., Shaw, M., Squires, F. A., Bannan, T. J., Mehra, A., Worrall, S. D., Bacak, A., Coe, H., Percival, C. J., Whalley, L. K., Heard, D. E., Slater, E. J., Ouyang, B., Cui, T., Surratt, J. D., Liu, D., Shi, Z., Harrison, R., Sun, Y., Xu, W., Lewis, A. C., Lee, J. D., Rickard, A. R., and Hamilton, J. F.: Strong anthropogenic control of secondary organic aerosol formation from isoprene in Beijing, Atmos. Chem. Phys., 20, 7531–7552, <a href="https://doi.org/10.5194/acp-20-7531-2020" target="_blank">https://doi.org/10.5194/acp-20-7531-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>Budisulistiorini, S. H., Li, X., Bairai, S. T., Renfro, J., Liu, Y., Liu, Y. J., McKinney, K. A., Martin, S. T., McNeill, V. F., Pye, H. O. T., Nenes, A., Neff, M. E., Stone, E. A., Mueller, S., Knote, C., Shaw, S. L., Zhang, Z., Gold, A., and Surratt, J. D.: Examining the effects of anthropogenic emissions on isoprene-derived secondary organic aerosol formation during the 2013 Southern Oxidant and Aerosol Study (SOAS) at the Look Rock, Tennessee ground site, Atmos. Chem. Phys., 15, 8871–8888, <a href="https://doi.org/10.5194/acp-15-8871-2015" target="_blank">https://doi.org/10.5194/acp-15-8871-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>Chan, M. N., Surratt, J. D., Claeys, M., Edgerton, E. S., Tanner, R. L., Shaw, S. L., Zheng, M., Knipping, E. M., Eddingsaas, N. C., Wennberg, P. O., and Seinfeld, J. H.: Characterization and quantification of isoprene-derived epoxydiols in ambient aerosol in the southeastern United States, Environ. Sci. Technol., 44, 4590–4596, <a href="https://doi.org/10.1021/es100596b" target="_blank">https://doi.org/10.1021/es100596b</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>Chan, M. N., Surratt, J. D., Chan, A. W. H., Schilling, K., Offenberg, J. H., Lewandowski, M., Edney, E. O., Kleindienst, T. E., Jaoui, M., Edgerton, E. S., Tanner, R. L., Shaw, S. L., Zheng, M., Knipping, E. M., and Seinfeld, J. H.: Influence of aerosol acidity on the chemical composition of secondary organic aerosol from β-caryophyllene, Atmos. Chem. Phys., 11, 1735–1751, <a href="https://doi.org/10.5194/acp-11-1735-2011" target="_blank">https://doi.org/10.5194/acp-11-1735-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>Chen, Y., Zhang, Y., Lambe, A. T., Xu, R., Lei, Z., Olson, N. E., Zhang, Z.,
Szalkowski, T., Cui, T., Vizuete, W., Gold, A., Turpin, B. J., Ault, A. P.,
Chan, M. N., and Surratt, J. D.: Heterogeneous hydroxyl radical oxidation of
isoprene-epoxydiol-derived methyltetrol sulfates: plausible formation
mechanisms of previously unexplained organosulfates in ambient fine
aerosols, Environ. Sci. Technol. Lett., 7, 460–468, <a href="https://doi.org/10.1021/acs.estlett.0c00276" target="_blank">https://doi.org/10.1021/acs.estlett.0c00276</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>Claeys, M., Wang, W., Vermeylen, R., Kourtchev, I., Chi, X., Farhat, Y.,
Surratt, J. D., Gómez-González, Y., Sciare, J., and Maenhaut, W.:
Chemical characterisation of marine aerosol at Amsterdam Island during the
austral summer of 2006-2007, J. Aerosol Sci., 41, 13=-22, <a href="https://doi.org/10.1016/j.jaerosci.2009.08.003" target="_blank">https://doi.org/10.1016/j.jaerosci.2009.08.003</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>Darer, A. I., Cole-Filipiak, N. C., O'Connor, A. E., and Elrod, M. J.:
Formation and stability of atmospherically relevant isoprene-derived
organosulfates and organonitrates, Environ. Sci. Technol., 45, 1895–1902, <a href="https://doi.org/10.1021/es103797z" target="_blank">https://doi.org/10.1021/es103797z</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>DeRieux, W.-S. W., Li, Y., Lin, P., Laskin, J., Laskin, A., Bertram, A. K., Nizkorodov, S. A., and Shiraiwa, M.: Predicting the glass transition temperature and viscosity of secondary organic material using molecular composition, Atmos. Chem. Phys., 18, 6331–6351, <a href="https://doi.org/10.5194/acp-18-6331-2018" target="_blank">https://doi.org/10.5194/acp-18-6331-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>Ding, A., Huang, X., Nie, W., Chi, X., Xu, Z., Zheng, L., Xu, Z., Xie, Y., Qi, X., Shen, Y., Sun, P., Wang, J., Wang, L., Sun, J., Yang, X.-Q., Qin, W., Zhang, X., Cheng, W., Liu, W., Pan, L., and Fu, C.: Significant reduction of PM<sub>2.5</sub> in eastern China due to regional-scale emission control: evidence from SORPES in 2011–2018, Atmos. Chem. Phys., 19, 11791–11801, <a href="https://doi.org/10.5194/acp-19-11791-2019" target="_blank">https://doi.org/10.5194/acp-19-11791-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>Ding, J., Zhao, P., Su, J., Dong, Q., Du, X., and Zhang, Y.: Aerosol pH and its driving factors in Beijing, Atmos. Chem. Phys., 19, 7939–7954, <a href="https://doi.org/10.5194/acp-19-7939-2019" target="_blank">https://doi.org/10.5194/acp-19-7939-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>Estillore, A. D., Hettiyadura, A. P. S., Qin, Z., Leckrone, E., Wombacher, B., Humphry, T., Stone, E. A., and Grassian, V. H.: Water uptake and hygroscopic growth of organosulfate aerosol, Environ. Sci. Technol., 50, 4259–4268, <a href="https://doi.org/10.1021/acs.est.5b05014" target="_blank">https://doi.org/10.1021/acs.est.5b05014</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>Fisseha, R., Dommen, J., Gutzwiller, L., Weingartner, E., Gysel, M., Emmenegger, C., Kalberer, M., and Baltensperger, U.: Seasonal and diurnal characteristics of water soluble inorganic compounds in the gas and aerosol phase in the Zurich area, Atmos. Chem. Phys., 6, 1895–1904, <a href="https://doi.org/10.5194/acp-6-1895-2006" target="_blank">https://doi.org/10.5194/acp-6-1895-2006</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>Fleming, L. T., Ali, N. N., Blair, S. L., Roveretto, M., George, C., and Nizkorodov, S. A.: Formation of light-absorbing organosulfates during evaporation of secondary organic material extracts in the presence of sulfuric acid, ACS Earth Space Chem., 3, 947–957, <a href="https://doi.org/10.1021/acsearthspacechem.9b00036" target="_blank">https://doi.org/10.1021/acsearthspacechem.9b00036</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Fountoukis, C. and Nenes, A.: ISORROPIA II: a computationally efficient thermodynamic equilibrium model for K<sup>+</sup>-Ca<sup>2+</sup>-Mg<sup>2+</sup>-NH<sub>4</sub><sup>+</sup>-Na<sup>+</sup>-SO<sub>4</sub><sup>2−</sup>-NO<sub>3</sub><sup>−</sup>-Cl<sup>−</sup>-H<sub>2</sub>O aerosols, Atmos. Chem. Phys., 7, 4639–4659, <a href="https://doi.org/10.5194/acp-7-4639-2007" target="_blank">https://doi.org/10.5194/acp-7-4639-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>Froyd, K. D., Murphy, S. M., Murphy, D. M., de Gouw, J. A., Eddingsaas, N. C., and Wennberg, P. O.: Contribution of isoprene-derived organosulfates to free tropospheric aerosol mass, P. Natl. Acad. Sci. USA, 107, 21360–21365, <a href="https://doi.org/10.1073/pnas.1012561107" target="_blank">https://doi.org/10.1073/pnas.1012561107</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>Gómez-González, Y., Surratt, J. D., Cuyckens, F., Szmigielski, R., Vermeylen, R., Jaoui, M., Lewandowski, M., Offenberg, J. H., Kleindienst, T. E., Edney, E. O., Blockhuys, F., Van Alsenoy, C., Maenhaut, W., and Claeys, M.: Characterization of organosulfates from the photooxidation of isoprene and unsaturated fatty acids in ambient aerosol using liquid chromatography/(-) electrospray ionization mass spectrometry, J. Mass Spectrom., 43, 371–382, <a href="https://doi.org/10.1002/jms.1329" target="_blank">https://doi.org/10.1002/jms.1329</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>Grgic, I., Dovzan, A., Bercic, G., and Hudnik, V.: The effect of atmospheric organic compounds on the Fe-catalyzed S(IV) autoxidation in aqueous solution, J. Atmos. Chem., 29, 315–337, <a href="https://doi.org/10.1023/a:1005918912994" target="_blank">https://doi.org/10.1023/a:1005918912994</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>Griffith, S. M., Huang, X. H. H., Louie, P. K. K., and Yu, J. Z.:
Characterizing the thermodynamic and chemical composition factors
controlling PM<sub>2.5</sub> nitrate: Insights gained from two years of online
measurements in Hong Kong, Atmos. Environ., 122, 864–875, <a href="https://doi.org/10.1016/j.atmosenv.2015.02.009" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.02.009</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>Guenther, A., Hewitt, C. N., Erickson, D., Fall, R., Geron, C., Graedel, T., Harley, P., Klinger, L., Lerdau, M., McKay, W. A., Pierce, T., Scholes, B., Steinbrecher, R., Tallamraju, R., Taylor, J., and Zimmerman, P.: A global model of natural volatile organic compound emissions, J. Geophys. Res., 100, 8873–8892, <a href="https://doi.org/10.1029/94JD02950" target="_blank">https://doi.org/10.1029/94JD02950</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>Guo, H., Xu, L., Bougiatioti, A., Cerully, K. M., Capps, S. L., Hite Jr., J. R., Carlton, A. G., Lee, S.-H., Bergin, M. H., Ng, N. L., Nenes, A., and Weber, R. J.: Fine-particle water and pH in the southeastern United States, Atmos. Chem. Phys., 15, 5211–5228, <a href="https://doi.org/10.5194/acp-15-5211-2015" target="_blank">https://doi.org/10.5194/acp-15-5211-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>Guo, H., Sullivan, A. P., Campuzano-Jost, P., Schroder, J. C.,
Lopez-Hilfiker, F. D., Dibb, J. E., Jimenez, J. L., Thornton, J. A., Brown,
S. S., Nenes, A., and Weber, R. J.: Fine particle pH and the partitioning of
nitric acid during winter in the northeastern United States, J. Geophys.
Res.-Atmos., 121, 10355–10376, <a href="https://doi.org/10.1002/2016jd025311" target="_blank">https://doi.org/10.1002/2016jd025311</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>Hansen, A. M. K., Kristensen, K., Nguyen, Q. T., Zare, A., Cozzi, F., Nøjgaard, J. K., Skov, H., Brandt, J., Christensen, J. H., Ström, J., Tunved, P., Krejci, R., and Glasius, M.: Organosulfates and organic acids in Arctic aerosols: speciation, annual variation and concentration levels, Atmos. Chem. Phys., 14, 7807–7823, <a href="https://doi.org/10.5194/acp-14-7807-2014" target="_blank">https://doi.org/10.5194/acp-14-7807-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>Hansen, A. M. K., Hong, J., Raatikainen, T., Kristensen, K., Ylisirniö, A., Virtanen, A., Petäjä, T., Glasius, M., and Prisle, N. L.: Hygroscopic properties and cloud condensation nuclei activation of limonene-derived organosulfates and their mixtures with ammonium sulfate, Atmos. Chem. Phys., 15, 14071–14089, <a href="https://doi.org/10.5194/acp-15-14071-2015" target="_blank">https://doi.org/10.5194/acp-15-14071-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>Hatch, L. E., Creamean, J. M., Ault, A. P., Surratt, J. D., Chan, M. N., Seinfeld, J. H., Edgerton, E. S., Su, Y., and Prather, K. A.: Measurements of isoprene-derived organosulfates in ambient aerosols by aerosol time-of-flight mass spectrometry-part 2: temporal variability and formation mechanisms, Environ. Sci. Technol., 45, 8648–8655, <a href="https://doi.org/10.1021/es2011836" target="_blank">https://doi.org/10.1021/es2011836</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>Hawkins, L. N., Russell, L. M., Covert, D. S., Quinn, P. K., and Bates, T. S.: Carboxylic acids, sulfates, and organosulfates in processed continental organic aerosol over the southeast Pacific Ocean during VOCALS-REx 2008, J. Geophys. Res., 115,  D13201, <a href="https://doi.org/10.1029/2009jd013276" target="_blank">https://doi.org/10.1029/2009jd013276</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>He, Q. F., Ding, X., Wang, X. M., Yu, J. Z., Fu, X. X., Liu, T. Y., Zhang, Z., Xue, J., Chen, D. H., Zhong, L. J., and Donahue, N. M.: Organosulfates from pinene and isoprene over the Pearl River Delta, South China: seasonal variation and implication in formation mechanisms, Environ. Sci. Technol., 48, 9236–9245, <a href="https://doi.org/10.1021/es501299v" target="_blank">https://doi.org/10.1021/es501299v</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>He, Q. F., Ding, X., Fu, X. X., Zhang, Y. Q., Wang, J. Q., Liu, Y. X., Tang,
M. J., Wang, X. M., and Rudich, Y.: Secondary organic aerosol formation from
isoprene epoxides in the Pearl River Delta, South China: IEPOX- and
HMML-derived tracers, J. Geophys. Res.-Atmos., 123, 6999–7012, <a href="https://doi.org/10.1029/2017jd028242" target="_blank">https://doi.org/10.1029/2017jd028242</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>Hennigan, C. J., Izumi, J., Sullivan, A. P., Weber, R. J., and Nenes, A.: A critical evaluation of proxy methods used to estimate the acidity of atmospheric particles, Atmos. Chem. Phys., 15, 2775–2790, <a href="https://doi.org/10.5194/acp-15-2775-2015" target="_blank">https://doi.org/10.5194/acp-15-2775-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Herrmann, H.: Kinetics of aqueous phase reactions relevant for atmospheric
chemistry, Chem. Rev., 103, 4691–4716, <a href="https://doi.org/10.1021/cr020658q" target="_blank">https://doi.org/10.1021/cr020658q</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>Hettiyadura, A. P. S., Stone, E. A., Kundu, S., Baker, Z., Geddes, E., Richards, K., and Humphry, T.: Determination of atmospheric organosulfates using HILIC chromatography with MS detection, Atmos. Meas. Tech., 8, 2347–2358, <a href="https://doi.org/10.5194/amt-8-2347-2015" target="_blank">https://doi.org/10.5194/amt-8-2347-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>Hettiyadura, A. P. S., Jayarathne, T., Baumann, K., Goldstein, A. H., de Gouw, J. A., Koss, A., Keutsch, F. N., Skog, K., and Stone, E. A.: Qualitative and quantitative analysis of atmospheric organosulfates in Centreville, Alabama, Atmos. Chem. Phys., 17, 1343–1359, <a href="https://doi.org/10.5194/acp-17-1343-2017" target="_blank">https://doi.org/10.5194/acp-17-1343-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>Hettiyadura, A. P. S., Al-Naiema, I. M., Hughes, D. D., Fang, T., and Stone, E. A.: Organosulfates in Atlanta, Georgia: anthropogenic influences on biogenic secondary organic aerosol formation, Atmos. Chem. Phys., 19, 3191–3206, <a href="https://doi.org/10.5194/acp-19-3191-2019" target="_blank">https://doi.org/10.5194/acp-19-3191-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>Hoffmann, T., Huang, R. J., and Kalberer, M.: Atmospheric analytical chemistry, Anal. Chem., 83, 4649–4664, <a href="https://doi.org/10.1021/ac2010718" target="_blank">https://doi.org/10.1021/ac2010718</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>Huang, L., Coddens, E. M., and Grassian, V. H.: Formation of organosulfur compounds from aqueous phase reactions of S(IV) with methacrolein and methyl vinyl ketone in the presence of transition metal ions, ACS Earth Space Chem., 3, 1749–1755, <a href="https://doi.org/10.1021/acsearthspacechem.9b00173" target="_blank">https://doi.org/10.1021/acsearthspacechem.9b00173</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>Huang, L., Liu, T., and Grassian, V. H.: Radical-initiated formation of aromatic organosulfates and sulfonates in the aqueous phase, Environ. Sci. Technol., 54, 11857–11864, <a href="https://doi.org/10.1021/acs.est.0c05644" target="_blank">https://doi.org/10.1021/acs.est.0c05644</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>Huang, R.-J., Zhang, Y., Bozzetti, C., Ho, K.-F., Cao, J.-J., Han, Y.,
Daellenbach, K. R., Slowik, J. G., Platt, S. M., Canonaco, F., Zotter, P.,
Wolf, R., Pieber, S. M., Bruns, E. A., Crippa, M., Ciarelli, G.,
Piazzalunga, A., Schwikowski, M., Abbaszade, G., Schnelle-Kreis, J.,
Zimmermann, R., An, Z., Szidat, S., Baltensperger, U., El Haddad, I., and
Prevot, A. S. H.: High secondary aerosol contribution to particulate
pollution during haze events in China, Nature, 514, 218–222, <a href="https://doi.org/10.1038/nature13774" target="_blank">https://doi.org/10.1038/nature13774</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>Huang, R.-J., Cao, J., Chen, Y., Yang, L., Shen, J., You, Q., Wang, K., Lin, C., Xu, W., Gao, B., Li, Y., Chen, Q., Hoffmann, T., O'Dowd, C. D., Bilde, M., and Glasius, M.: Organosulfates in atmospheric aerosol: synthesis and quantitative analysis of PM<sub>2.5</sub> from Xi'an, northwestern China, Atmos. Meas. Tech., 11, 3447–3456, <a href="https://doi.org/10.5194/amt-11-3447-2018" target="_blank">https://doi.org/10.5194/amt-11-3447-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>Iinuma, Y., Mueller, C., Berndt, T., Boege, O., Claeys, M., and Herrmann,
H.: Evidence for the existence of organosulfates from <i>β</i>-pinene
ozonolysis in ambient secondary organic aerosol, Environ. Sci. Technol., 41,
6678–6683, 2007a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>Iinuma, Y., Mueller, C., Boege, O., Gnauk, T., and Herrmann, H.: The
formation of organic sulfate esters in the limonene ozonolysis secondary
organic aerosol (SOA) under acidic conditions, Atmos. Environ., 41,
5571–5583, <a href="https://doi.org/10.1016/j.atmosenv.2007.03.007" target="_blank">https://doi.org/10.1016/j.atmosenv.2007.03.007</a>, 2007b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>Iinuma, Y., Boege, O., Kahnt, A., and Herrmann, H.: Laboratory chamber
studies on the formation of organosulfates from reactive uptake of
monoterpene oxides, Phys. Chem. Chem. Phys., 11, 7985–7997, <a href="https://doi.org/10.1039/b904025k" target="_blank">https://doi.org/10.1039/b904025k</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>Jiang, P.-Y., Katsumura, Y., Domae, M., Ishikawa, K., Ishigure, K., and Yoshida, Y.: Pulse radiolysis study of concentrated sulfuric acid solutions. Formation mechanism, yield and reactivity of sulfate radicals, J. Chem. Soc. Faraday T., 88, 3319–3322, <a href="https://doi.org/10.1039/ft9928801653" target="_blank">https://doi.org/10.1039/ft9928801653</a>, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>Jimenez, J. L., Canagaratna, M. R., Donahue, N. M., Prevot, A. S. H., Zhang, Q., Kroll, J. H., DeCarlo, P. F., Allan, J. D., Coe, H., Ng, N. L., Aiken, A. C., Docherty, K. S., Ulbrich, I. M., Grieshop, A. P., Robinson, A. L., Duplissy, J., Smith, J. D., Wilson, K. R., Lanz, V. A., Hueglin, C., Sun, Y. L., Tian, J., Laaksonen, A., Raatikainen, T., Rautiainen, J., Vaattovaara, P., Ehn, M., Kulmala, M., Tomlinson, J. M., Collins, D. R., Cubison, M. J., Dunlea, E. J., Huffman, J. A., Onasch, T. B., Alfarra, M. R., Williams, P. I., Bower, K., Kondo, Y., Schneider, J., Drewnick, F., Borrmann, S., Weimer, S., Demerjian, K., Salcedo, D., Cottrell, L., Griffin, R., Takami, A., Miyoshi, T., Hatakeyama, S., Shimono, A., Sun, J. Y., Zhang, Y. M., Dzepina, K., Kimmel, J. R., Sueper, D., Jayne, J. T., Herndon, S. C., Trimborn, A. M., Williams, L. R., Wood, E. C., Middlebrook, A. M., Kolb, C. E., Baltensperger, U., and Worsnop, D. R.: Evolution of organic aerosols in the atmosphere, Science, 326, 1525–1529, <a href="https://doi.org/10.1126/science.1180353" target="_blank">https://doi.org/10.1126/science.1180353</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>Johnston, M. V. and Kerecman, D. E.: Molecular characterization of
atmospheric organic aerosol by mass spectrometry, Annu. Rev. Anal. Chem.,
12, 247–274, <a href="https://doi.org/10.1146/annurev-anchem-061516-045135" target="_blank">https://doi.org/10.1146/annurev-anchem-061516-045135</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>Kourtchev, I., Godoi, R. H. M., Connors, S., Levine, J. G., Archibald, A. T., Godoi, A. F. L., Paralovo, S. L., Barbosa, C. G. G., Souza, R. A. F., Manzi, A. O., Seco, R., Sjostedt, S., Park, J.-H., Guenther, A., Kim, S., Smith, J., Martin, S. T., and Kalberer, M.: Molecular composition of organic aerosols in central Amazonia: an ultra-high-resolution mass spectrometry study, Atmos. Chem. Phys., 16, 11899–11913, <a href="https://doi.org/10.5194/acp-16-11899-2016" target="_blank">https://doi.org/10.5194/acp-16-11899-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>Kristensen, K. and Glasius, M.: Organosulfates and oxidation products from biogenic hydrocarbons in fine aerosols from a forest in North West Europe during spring, Atmos. Environ., 45, 4546–4556, <a href="https://doi.org/10.1016/j.atmosenv.2011.05.063" target="_blank">https://doi.org/10.1016/j.atmosenv.2011.05.063</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>Kundu, S., Quraishi, T. A., Yu, G., Suarez, C., Keutsch, F. N., and Stone, E. A.: Evidence and quantitation of aromatic organosulfates in ambient aerosols in Lahore, Pakistan, Atmos. Chem. Phys., 13, 4865–4875, <a href="https://doi.org/10.5194/acp-13-4865-2013" target="_blank">https://doi.org/10.5194/acp-13-4865-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Le Breton, M., Wang, Y., Hallquist, Å. M., Pathak, R. K., Zheng, J., Yang, Y., Shang, D., Glasius, M., Bannan, T. J., Liu, Q., Chan, C. K., Percival, C. J., Zhu, W., Lou, S., Topping, D., Wang, Y., Yu, J., Lu, K., Guo, S., Hu, M., and Hallquist, M.: Online gas- and particle-phase measurements of organosulfates, organosulfonates and nitrooxy organosulfates in Beijing utilizing a FIGAERO ToF-CIMS, Atmos. Chem. Phys., 18, 10355–10371, <a href="https://doi.org/10.5194/acp-18-10355-2018" target="_blank">https://doi.org/10.5194/acp-18-10355-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>Lewandowski, M., Jaoui, M., Offenberg, J. H., Krug, J. D., and Kleindienst, T. E.: Atmospheric oxidation of isoprene and 1,3-butadiene: influence of aerosol acidity and relative humidity on secondary organic aerosol, Atmos. Chem. Phys., 15, 3773–3783, <a href="https://doi.org/10.5194/acp-15-3773-2015" target="_blank">https://doi.org/10.5194/acp-15-3773-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>Liao, J., Froyd, K. D., Murphy, D. M., Keutsch, F. N., Yu, G., Wennberg, P. O., St. Clair, J. M., Crounse, J. D., Wisthaler, A., Mikoviny, T., Jimenez, J. L., Campuzano-Jost, P., Day, D. A., Hu, W., Ryerson, T. B., Pollack, I. B., Peischl, J., Anderson, B. E., Ziemba, L. D., Blake, D. R., Meinardi, S., and Diskin, G.: Airborne measurements of organosulfates over the continental US, J. Geophys. Res.-Atmos., 120, 2990–3005, <a href="https://doi.org/10.1002/2014jd022378" target="_blank">https://doi.org/10.1002/2014jd022378</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>Lin, P., Yu, J. Z., Engling, G., and Kalberer, M.: Organosulfates in humic-like substance fraction isolated from aerosols at seven locations in East Asia: a study by ultra-high-resolution mass spectrometry, Environ. Sci. Technol., 46, 13118–13127, <a href="https://doi.org/10.1021/es303570v" target="_blank">https://doi.org/10.1021/es303570v</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>Lin, Y. H., Zhang, Z., Docherty, K. S., Zhang, H., Budisulistiorini, S. H., Rubitschun, C. L., Shaw, S. L., Knipping, E. M., Edgerton, E. S., Kleindienst, T. E., Gold, A., and Surratt, J. D.: Isoprene epoxydiols as precursors to secondary organic aerosol formation: acid-catalyzed reactive uptake studies with authentic compounds, Environ. Sci. Technol., 46, 250–258, <a href="https://doi.org/10.1021/es202554c" target="_blank">https://doi.org/10.1021/es202554c</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>Lin, Y. H., Zhang, H., Pye, H. O., Zhang, Z., Marth, W. J., Park, S., Arashiro, M., Cui, T., Budisulistiorini, S. H., Sexton, K. G., Vizuete, W., Xie, Y., Luecken, D. J., Piletic, I. R., Edney, E. O., Bartolotti, L. J., Gold, A., and Surratt, J. D.: Epoxide as a precursor to secondary organic aerosol formation from isoprene photooxidation in the presence of nitrogen oxides, P. Natl. Acad. Sci. USA, 110, 6718–6723, <a href="https://doi.org/10.1073/pnas.1221150110" target="_blank">https://doi.org/10.1073/pnas.1221150110</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>Liu, M. X., Song, Y., Zhou, T., Xu, Z. Y., Yan, C. Q., Zheng, M., Wu, Z. J., Hu, M., Wu, Y. S., and Zhu, T.: Fine particle pH during severe haze episodes in northern China, Geophys. Res. Lett., 44, 5213–5221, <a href="https://doi.org/10.1002/2017gl073210" target="_blank">https://doi.org/10.1002/2017gl073210</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>Liu, Y. and Wang, T.: Worsening urban ozone pollution in China from 2013 to 2017 – Part 2: The effects of emission changes and implications for multi-pollutant control, Atmos. Chem. Phys., 20, 6323–6337, <a href="https://doi.org/10.5194/acp-20-6323-2020" target="_blank">https://doi.org/10.5194/acp-20-6323-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>Lukács, H., Gelencsér, A., Hoffer, A., Kiss, G., Horváth, K., and Hartyáni, Z.: Quantitative assessment of organosulfates in size-segregated rural fine aerosol, Atmos. Chem. Phys., 9, 231–238, <a href="https://doi.org/10.5194/acp-9-231-2009" target="_blank">https://doi.org/10.5194/acp-9-231-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>Ma, Y., Xu, X., Song, W., Geng, F., and Wang, L.: Seasonal and diurnal variations of particulate organosulfates in urban Shanghai, China, Atmos. Environ., 85, 152–160, <a href="https://doi.org/10.1016/j.atmosenv.2013.12.017" target="_blank">https://doi.org/10.1016/j.atmosenv.2013.12.017</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>Mahowald, N.: Aerosol indirect effect on biogeochemical cycles and climate, Science, 334, 794–796, <a href="https://doi.org/10.1126/science.1207374" target="_blank">https://doi.org/10.1126/science.1207374</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>McNeill, V. F., Woo, J. L., Kim, D. D., Schwier, A. N., Wannell, N. J., Sumner, A. J., and Barakat, J. M.: Aqueous-phase secondary organic aerosol and organosulfate formation in atmospheric aerosols: a modeling study, Environ. Sci. Technol., 46, 8075–8081, <a href="https://doi.org/10.1021/es3002986" target="_blank">https://doi.org/10.1021/es3002986</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>Meade, L. E., Riva, M., Blomberg, M. Z., Brock, A. K., Qualters, E. M., Siejack, R. A., Ramakrishnan, K., Surratt, J. D., and Kautzman, K. E.: Seasonal variations of fine particulate organosulfates derived from biogenic and anthropogenic hydrocarbons in the mid-Atlantic United States, Atmos. Environ., 145, 405–414, <a href="https://doi.org/10.1016/j.atmosenv.2016.09.028" target="_blank">https://doi.org/10.1016/j.atmosenv.2016.09.028</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>Nah, T., Guo, H., Sullivan, A. P., Chen, Y., Tanner, D. J., Nenes, A., Russell, A., Ng, N. L., Huey, L. G., and Weber, R. J.: Characterization of aerosol composition, aerosol acidity, and organic acid partitioning at an agriculturally intensive rural southeastern US site, Atmos. Chem. Phys., 18, 11471–11491, <a href="https://doi.org/10.5194/acp-18-11471-2018" target="_blank">https://doi.org/10.5194/acp-18-11471-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>Nestorowicz, K., Jaoui, M., Rudzinski, K. J., Lewandowski, M., Kleindienst, T. E., Spólnik, G., Danikiewicz, W., and Szmigielski, R.: Chemical composition of isoprene SOA under acidic and non-acidic conditions: effect of relative humidity, Atmos. Chem. Phys., 18, 18101–18121, <a href="https://doi.org/10.5194/acp-18-18101-2018" target="_blank">https://doi.org/10.5194/acp-18-18101-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>Nguyen, Q. T., Christensen, M. K., Cozzi, F., Zare, A., Hansen, A. M. K., Kristensen, K., Tulinius, T. E., Madsen, H. H., Christensen, J. H., Brandt, J., Massling, A., Nøjgaard, J. K., and Glasius, M.: Understanding the anthropogenic influence on formation of biogenic secondary organic aerosols in Denmark via analysis of organosulfates and related oxidation products, Atmos. Chem. Phys., 14, 8961–8981, <a href="https://doi.org/10.5194/acp-14-8961-2014" target="_blank">https://doi.org/10.5194/acp-14-8961-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>Nguyen, T. B., Lee, P. B., Updyke, K. M., Bones, D. L., Laskin, J., Laskin,
A., and Nizkorodov, S. A.: Formation of nitrogen- and sulfur-containing
light-absorbing compounds accelerated by evaporation of water from secondary
organic aerosols, J. Geophys. Res.-Atmos., 117, D01207, <a href="https://doi.org/10.1029/2011jd016944" target="_blank">https://doi.org/10.1029/2011jd016944</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>Nguyen, T. B., Bates, K. H., Crounse, J. D., Schwantes, R. H., Zhang, X.,
Kjaergaard, H. G., Surratt, J. D., Lin, P., Laskin, A., Seinfeld, J. H., and
Wennberg, P. O.: Mechanism of the hydroxyl radical oxidation of methacryloyl
peroxynitrate (MPAN) and its pathway toward secondary organic aerosol
formation in the atmosphere, Phys. Chem. Chem. Phys., 17, 17914–17926, <a href="https://doi.org/10.1039/c5cp02001h" target="_blank">https://doi.org/10.1039/c5cp02001h</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>Nozière, B., Ekström, S., Alsberg, T., and Holmström, S.: Radical-initiated formation of organosulfates and surfactants in atmospheric aerosols, Geophys. Res. Lett., 37, L05806, <a href="https://doi.org/10.1029/2009gl041683" target="_blank">https://doi.org/10.1029/2009gl041683</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>Nozière, B., Kalberer, M., Claeys, M., Allan, J., D'Anna, B., Decesari, S., Finessi, E., Glasius, M., Grgic, I., Hamilton, J. F., Hoffmann, T., Iinuma, Y., Jaoui, M., Kahno, A., Kampf, C. J., Kourtchev, I., Maenhaut, W., Marsden, N., Saarikoski, S., Schnelle-Kreis, J., Surratt, J. D., Szidat, S., Szmigielski, R., and Wisthaler, A.: The molecular identification of organic compounds in the atmosphere: state of the art and challenges, Chem. Rev., 115, 3919–3983, <a href="https://doi.org/10.1021/cr5003485" target="_blank">https://doi.org/10.1021/cr5003485</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>Olson, C. N., Galloway, M. M., Yu, G., Hedman, C. J., Lockett, M. R., Yoon,
T., Stone, E. A., Smith, L. M., and Keutsch, F. N.: Hydroxycarboxylic
acid-derived organosulfates: synthesis, stability, and quantification in
ambient aerosol, Environ. Sci. Technol., 45, 6468–6474, <a href="https://doi.org/10.1021/es201039p" target="_blank">https://doi.org/10.1021/es201039p</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>Olson, N. E., Lei, Z. Y., Craig, R. L., Zhang, Y., Chen, Y. Z., Lambe, A.
T., Zhang, Z. F., Gold, A., Surratt, J. D., and Ault, A. P.: Reactive uptake
of isoprene epoxydiols increases the viscosity of the core of
phase-separated aerosol particles, ACS Earth Space Chem., 3, 1402–1414, <a href="https://doi.org/10.1021/acsearthspacechem.9b00138" target="_blank">https://doi.org/10.1021/acsearthspacechem.9b00138</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>Passananti, M., Kong, L., Shang, J., Dupart, Y., Perrier, S., Chen, J.,
Donaldson, D. J., and George, C.: Organosulfate formation through the
heterogeneous reaction of sulfur dioxide with unsaturated fatty acids and
long-chain alkenes, Angew. Chem. Int. Ed. Engl., 55, 10336–10339, <a href="https://doi.org/10.1002/anie.201605266" target="_blank">https://doi.org/10.1002/anie.201605266</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>Pye, H. O. T., Pinder, R. W., Piletic, I. R., Xie, Y., Capps, S. L., Lin, Y.
H., Surratt, J. D., Zhang, Z. F., Gold, A., Luecken, D. J., Hutzell, W. T.,
Jaoui, M., Offenberg, J. H., Kleindienst, T. E., Lewandowski, M., and Edney,
E. O.: Epoxide pathways improve model predictions of isoprene markers and
reveal key role of acidity in aerosol formation, Environ. Sci. Technol., 47,
11056–11064, <a href="https://doi.org/10.1021/es402106h" target="_blank">https://doi.org/10.1021/es402106h</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>Ramanathan, V., Crutzen, P. J., Lelieveld, J., Mitra, A. P., Althausen, D.,
Anderson, J., Andreae, M. O., Cantrell, W., Cass, G. R., Chung, C. E.,
Clarke, A. D., Coakley, J. A., Collins, W. D., Conant, W. C., Dulac, F.,
Heintzenberg, J., Heymsfield, A. J., Holben, B., Howell, S., Hudson, J.,
Jayaraman, A., Kiehl, J. T., Krishnamurti, T. N., Lubin, D., McFarquhar, G.,
Novakov, T., Ogren, J. A., Podgorny, I. A., Prather, K., Priestley, K.,
Prospero, J. M., Quinn, P. K., Rajeev, K., Rasch, P., Rupert, S., Sadourny,
R., Satheesh, S. K., Shaw, G. E., Sheridan, P., and Valero, F. P. J.: Indian
Ocean Experiment: an integrated analysis of the climate forcing and effects
of the great Indo-Asian haze, J. Geophys. Res.-Atmos., 106, 28371–28398, <a href="https://doi.org/10.1029/2001jd900133" target="_blank">https://doi.org/10.1029/2001jd900133</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>Rattanavaraha, W., Chu, K., Budisulistiorini, S. H., Riva, M., Lin, Y.-H., Edgerton, E. S., Baumann, K., Shaw, S. L., Guo, H., King, L., Weber, R. J., Neff, M. E., Stone, E. A., Offenberg, J. H., Zhang, Z., Gold, A., and Surratt, J. D.: Assessing the impact of anthropogenic pollution on isoprene-derived secondary organic aerosol formation in PM<sub>2.5</sub> collected from the Birmingham, Alabama, ground site during the 2013 Southern Oxidant and Aerosol Study, Atmos. Chem. Phys., 16, 4897–4914, <a href="https://doi.org/10.5194/acp-16-4897-2016" target="_blank">https://doi.org/10.5194/acp-16-4897-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>Riva, M., Tomaz, S., Cui, T., Lin, Y. H., Perraudin, E., Gold, A., Stone, E. A., Villenave, E., and Surratt, J. D.: Evidence for an unrecognized secondary anthropogenic source of organosulfates and sulfonates: gas-phase oxidation of polycyclic aromatic hydrocarbons in the presence of sulfate aerosol, Environ. Sci. Technol., 49, 6654–6664, <a href="https://doi.org/10.1021/acs.est.5b00836" target="_blank">https://doi.org/10.1021/acs.est.5b00836</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>Riva, M., Budisulistiorini, S. H., Zhang, Z. F., Gold, A., and Surratt, J. D.: Chemical characterization of secondary organic aerosol constituents from isoprene ozonolysis in the presence of acidic aerosol, Atmos. Environ., 130, 5–13, <a href="https://doi.org/10.1016/j.atmosenv.2015.06.027" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.06.027</a>, 2016a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>Riva, M., Da Silva Barbosa, T., Lin, Y.-H., Stone, E. A., Gold, A., and Surratt, J. D.: Chemical characterization of organosulfates in secondary organic aerosol derived from the photooxidation of alkanes, Atmos. Chem. Phys., 16, 11001–11018, <a href="https://doi.org/10.5194/acp-16-11001-2016" target="_blank">https://doi.org/10.5194/acp-16-11001-2016</a>, 2016b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>Riva, M., Chen, Y., Zhang, Y., Lei, Z., Olson, N. E., Boyer, H. C., Narayan,
S., Yee, L. D., Green, H. S., Cui, T., Zhang, Z., Baumann, K., Fort, M.,
Edgerton, E., Budisulistiorini, S. H., Rose, C. A., Ribeiro, I. O., RL, E.
O., Dos Santos, E. O., Machado, C. M. D., Szopa, S., Zhao, Y., Alves, E. G.,
de Sa, S. S., Hu, W., Knipping, E. M., Shaw, S. L., Duvoisin Junior, S., de
Souza, R. A. F., Palm, B. B., Jimenez, J. L., Glasius, M., Goldstein, A. H.,
Pye, H. O. T., Gold, A., Turpin, B. J., Vizuete, W., Martin, S. T.,
Thornton, J. A., Dutcher, C. S., Ault, A. P., and Surratt, J. D.: Increasing
isoprene epoxydiol-to-inorganic sulfate aerosol ratio results in extensive
conversion of inorganic sulfate to organosulfur forms: implications for
aerosol physicochemical properties, Environ. Sci. Technol., 53, 8682–8694, <a href="https://doi.org/10.1021/acs.est.9b01019" target="_blank">https://doi.org/10.1021/acs.est.9b01019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>Schindelka, J., Iinuma, Y., Hoffmann, D., and Herrmann, H.: Sulfate
radical-initiated formation of isoprene-derived organosulfates in
atmospheric aerosols, Faraday Discuss., 165, 237–259, <a href="https://doi.org/10.1039/c3fd00042g" target="_blank">https://doi.org/10.1039/c3fd00042g</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>Shakya, K. M. and Peltier, R. E.: Investigating missing sources of sulfur at
Fairbanks, Alaska, Environ. Sci. Technol., 47, 9332–9338, <a href="https://doi.org/10.1021/es402020b" target="_blank">https://doi.org/10.1021/es402020b</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>Shakya, K. M. and Peltier, R. E.: Non-sulfate sulfur in fine aerosols across the United States: Insight for organosulfate prevalence, Atmos. Environ., 100, 159–166, <a href="https://doi.org/10.1016/j.atmosenv.2014.10.058" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.10.058</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>Shalamzari, M. S., Ryabtsova, O., Kahnt, A., Vermeylen, R., Herent, M. F., Quetin-Leclercq, J., Van der Veken, P., Maenhaut, W., and Claeys, M.: Mass spectrometric characterization of organosulfates related to secondary organic aerosol from isoprene, Rapid Commun. Mass Sp., 27, 784–794, <a href="https://doi.org/10.1002/rcm.6511" target="_blank">https://doi.org/10.1002/rcm.6511</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation>Shang, J., Passananti, M., Dupart, Y., Ciuraru, R., Tinel, L., Rossignol, S., Perrier, S., Zhu, T., and George, C.: SO<sub>2</sub> uptake on oleic acid: a new formation pathway of organosulfur compounds in the atmosphere, Environ. Sci. Technol. Lett., 3, 67–72, <a href="https://doi.org/10.1021/acs.estlett.6b00006" target="_blank">https://doi.org/10.1021/acs.estlett.6b00006</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation>Shi, G. L., Xu, J., Peng, X., Xiao, Z. M., Chen, K., Tian, Y. Z., Guan, X. B., Feng, Y. C., Yu, H. F., Nenes, A., and Russell, A. G.: aerosols in a polluted atmosphere: source contributions to highly acidic aerosol, Environ. Sci. Technol., 51, 4289–4296, <a href="https://doi.org/10.1021/acs.est.6b05736" target="_blank">https://doi.org/10.1021/acs.est.6b05736</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation>Shiraiwa, M., Ammann, M., Koop, T., and Pöschl, U.: Gas uptake and chemical aging of semisolid organic aerosol particles, P. Natl. Acad. Sci. USA, 108, 11003–11008, <a href="https://doi.org/10.1073/pnas.1103045108" target="_blank">https://doi.org/10.1073/pnas.1103045108</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation>Shrivastava, M., Cappa, C. D., Fan, J. W., Goldstein, A. H., Guenther, A.
B., Jimenez, J. L., Kuang, C., Laskin, A., Martin, S. T., Ng, N. L., Petaja,
T., Pierce, J. R., Rasch, P. J., Roldin, P., Seinfeld, J. H., Shilling, J.,
Smith, J. N., Thornton, J. A., Volkamer, R., Wang, J., Worsnop, D. R.,
Zaveri, R. A., Zelenyuk, A., and Zhang, Q.: Recent advances in understanding
secondary organic aerosol: Implications for global climate forcing, Rev.
Geophys., 55, 509–559, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>Song, S., Nenes, A., Gao, M., Zhang, Y., Liu, P., Shao, J., Ye, D., Xu, W., Lei, L., Sun, Y., Liu, B., Wang, S., and McElroy, M. B.: Thermodynamic modeling suggests declines in water uptake and acidity of inorganic aerosols in Beijing winter haze events during 2014/2015–2018/2019, Environ. Sci. Technol. Lett., 6, 752–760, <a href="https://doi.org/10.1021/acs.estlett.9b00621" target="_blank">https://doi.org/10.1021/acs.estlett.9b00621</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation>Staudt, S., Kundu, S., Lehmler, H. J., He, X., Cui, T., Lin, Y. H., Kristensen, K., Glasius, M., Zhang, X., Weber, R. J., Surratt, J. D., and Stone, E. A.: Aromatic organosulfates in atmospheric aerosols: synthesis, characterization, and abundance, Atmos. Environ., 94, 366–373, <a href="https://doi.org/10.1016/j.atmosenv.2014.05.049" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.05.049</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation>Stone, E. A., Yang, L., Yu, L. E., and Rupakheti, M.: Characterization of organosulfates in atmospheric aerosols at Four Asian locations, Atmos. Environ., 47, 323–329, <a href="https://doi.org/10.1016/j.atmosenv.2011.10.058" target="_blank">https://doi.org/10.1016/j.atmosenv.2011.10.058</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation>Surratt, J. D., Kroll, J. H., Kleindienst, T. E., Edney, E. O., Claeys, M., Sorooshian, A., Ng, N. L., Offenberg, J. H., Lewandowski, M., Jaoui, M., Flagan, R. C., and Seinfeld, J. H.: Evidence for organosulfates in secondary organic aerosol, Environ. Sci. Technol., 41, 517–527, <a href="https://doi.org/10.1021/es062081q" target="_blank">https://doi.org/10.1021/es062081q</a>, 2007a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation>Surratt, J. D., Lewandowski, M., Offenberg, J. H., Jaoui, M., Kleindienst, T. E., Edney, E. O., and Seinfeld, J. H.: Effect of acidity on secondary organic aerosol formation from isoprene, Environ. Sci. Technol., 41, 5363–5369, <a href="https://doi.org/10.1021/es0704176" target="_blank">https://doi.org/10.1021/es0704176</a>, 2007b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation>Surratt, J. D., Gómez-González, Y., Chan, A. W. H., Vermeylen, R., Shahgholi, M., Kleindienst, T. E., Edney, E. O., Offenberg, J. H., Lewandowski, M., Jaoui, M., Maenhaut, W., Claeys, M., Richard C. Flagan, and Seinfeld, J. H.: Organosulfate formation in biogenic secondary organic aerosol, J. Phys. Chem. A, 36, 8345–8378, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation>Surratt, J. D., Chan, A. W., Eddingsaas, N. C., Chan, M., Loza, C. L., Kwan, A. J., Hersey, S. P., Flagan, R. C., Wennberg, P. O., and Seinfeld, J. H.: Reactive intermediates revealed in secondary organic aerosol formation from isoprene, P. Natl. Acad. Sci. USA, 107, 6640–6645, <a href="https://doi.org/10.1073/pnas.0911114107" target="_blank">https://doi.org/10.1073/pnas.0911114107</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation>Tao, J., Zhang, L., Cao, J., and Zhang, R.: A review of current knowledge concerning PM<sub>2.5</sub> chemical composition, aerosol optical properties and their relationships across China, Atmos. Chem. Phys., 17, 9485–9518, <a href="https://doi.org/10.5194/acp-17-9485-2017" target="_blank">https://doi.org/10.5194/acp-17-9485-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation>Tao, S., Lu, X., Levac, N., Bateman, A. P., Nguyen, T. B., Bones, D. L.,
Nizkorodov, S. A., Laskin, J., Laskin, A., and Yang, X.: Molecular
characterization of organosulfates in organic aerosols from Shanghai and Los
Angeles urban areas by nanospray-desorption electrospray ionization
high-resolution mass spectrometry, Environ. Sci. Technol., 48, 10993–11001, <a href="https://doi.org/10.1021/es5024674" target="_blank">https://doi.org/10.1021/es5024674</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation>Tolocka, M. P. and Turpin, B.: Contribution of organosulfur compounds to organic aerosol mass, Environ. Sci. Technol., 46, 7978–7983, <a href="https://doi.org/10.1021/es300651v" target="_blank">https://doi.org/10.1021/es300651v</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>100</label><mixed-citation>Wach, P., Spolnik, G., Rudzinski, K. J., Skotak, K., Claeys, M.,
Danikiewicz, W., and Szmigielski, R.: Radical oxidation of methyl vinyl
ketone and methacrolein in aqueous droplets: characterization of
organosulfates and atmospheric implications, Chemosphere, 214, 1–9, <a href="https://doi.org/10.1016/j.chemosphere.2018.09.026" target="_blank">https://doi.org/10.1016/j.chemosphere.2018.09.026</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib101"><label>101</label><mixed-citation>Wang, H. C., Chen, X. R., Lu, K. D., Hu, R. Z., Li, Z. Y., Wang, H. L., Ma, X. F., Yang, X. P., Chen, S. Y., Dong, H. B., Liu, Y., Fang, X., Zeng, L. M., Hu, M., and Zhang, Y. H.: NO<sub>3</sub> and N<sub>2</sub>O<sub>5</sub> chemistry at a suburban site during the EXPLORE-YRD campaign in 2018, Atmos. Environ., 224, 117180, <a href="https://doi.org/10.1016/j.atmosenv.2019.117180" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.117180</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib102"><label>102</label><mixed-citation>Wang, H. L., Qiao, L. P., Lou, S. R., Zhou, M., Ding, A. J., Huang, H. Y., Chen, J. M., Wang, Q., Tao, S. K., Chen, C. H., Li, L., and Huang, C.: Chemical composition of PM<sub>2.5</sub> and meteorological impact among three years in urban Shanghai, China, J. Clean Prod., 112, 1302–1311, <a href="https://doi.org/10.1016/j.jclepro.2015.04.099" target="_blank">https://doi.org/10.1016/j.jclepro.2015.04.099</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib103"><label>103</label><mixed-citation>Wang, J. J., Lu, X. M., Yan, Y. T., Zhou, L. G., and Ma, W. C.:
Spatiotemporal characteristics of PM<sub>2.5</sub> concentration in the Yangtze
River Delta urban agglomeration, China on the application of big data and
wavelet analysis, Sci. Total Environ., 724, 138134, <a href="https://doi.org/10.1016/j.scitotenv.2020.138134" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.138134</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib104"><label>104</label><mixed-citation>Wang, K., Zhang, Y., Huang, R. J., Wang, M., Ni, H., Kampf, C. J., Cheng, Y., Bilde, M., Glasius, M., and Hoffmann, T.: Molecular characterization and source identification of atmospheric particulate organosulfates using ultrahigh resolution mass spectrometry, Environ. Sci. Technol., 53, 6192–6202, <a href="https://doi.org/10.1021/acs.est.9b02628" target="_blank">https://doi.org/10.1021/acs.est.9b02628</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib105"><label>105</label><mixed-citation>Wang, S. Y., Zhou, S. M., Tao, Y., Tsui, W. G., Ye, J. H., Yu, J. Z.,
Murphy, J. G., McNeill, V. F., Abbatt, J. P. D., and Chan, A. W. H.: Organic
peroxides and sulfur dioxide in aerosol: source of particulate sulfate,
Environ. Sci. Technol., 53, 10695–10704, <a href="https://doi.org/10.1021/acs.est.9b02591" target="_blank">https://doi.org/10.1021/acs.est.9b02591</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib106"><label>106</label><mixed-citation>Wang, X. K., Rossignol, S., Ma, Y., Yao, L., Wang, M. Y., Chen, J. M., George, C., and Wang, L.: Molecular characterization of atmospheric particulate organosulfates in three megacities at the middle and lower reaches of the Yangtze River, Atmos. Chem. Phys., 16, 2285–2298, <a href="https://doi.org/10.5194/acp-16-2285-2016" target="_blank">https://doi.org/10.5194/acp-16-2285-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib107"><label>107</label><mixed-citation>Wang, Y., Ren, J., Huang, X. H. H., Tong, R., and Yu, J. Z.: Synthesis of
four monoterpene-derived organosulfates and their quantification in
atmospheric aerosol samples, Environ. Sci. Technol., 51, 6791–6801, <a href="https://doi.org/10.1021/acs.est.7b01179" target="_blank">https://doi.org/10.1021/acs.est.7b01179</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib108"><label>108</label><mixed-citation>Wang, Y., Hu, M., Guo, S., Wang, Y., Zheng, J., Yang, Y., Zhu, W., Tang, R., Li, X., Liu, Y., Le Breton, M., Du, Z., Shang, D., Wu, Y., Wu, Z., Song, Y., Lou, S., Hallquist, M., and Yu, J.: The secondary formation of organosulfates under interactions between biogenic emissions and anthropogenic pollutants in summer in Beijing, Atmos. Chem. Phys., 18, 10693–10713, <a href="https://doi.org/10.5194/acp-18-10693-2018" target="_blank">https://doi.org/10.5194/acp-18-10693-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib109"><label>109</label><mixed-citation>Wen, L., Xue, L., Wang, X., Xu, C., Chen, T., Yang, L., Wang, T., Zhang, Q., and Wang, W.: Summertime fine particulate nitrate pollution in the North China Plain: increasing trends, formation mechanisms and implications for control policy, Atmos. Chem. Phys., 18, 11261–11275, <a href="https://doi.org/10.5194/acp-18-11261-2018" target="_blank">https://doi.org/10.5194/acp-18-11261-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib110"><label>110</label><mixed-citation>Worton, D. R., Surratt, J. D., Lafranchi, B. W., Chan, A. W., Zhao, Y.,
Weber, R. J., Park, J. H., Gilman, J. B., de Gouw, J., Park, C., Schade, G.,
Beaver, M., Clair, J. M., Crounse, J., Wennberg, P., Wolfe, G. M., Harrold,
S., Thornton, J. A., Farmer, D. K., Docherty, K. S., Cubison, M. J.,
Jimenez, J. L., Frossard, A. A., Russell, L. M., Kristensen, K., Glasius,
M., Mao, J., Ren, X., Brune, W., Browne, E. C., Pusede, S. E., Cohen, R. C.,
Seinfeld, J. H., and Goldstein, A. H.: Observational insights into aerosol
formation from isoprene, Environ. Sci. Technol., 47, 11403–11413, <a href="https://doi.org/10.1021/es4011064" target="_blank">https://doi.org/10.1021/es4011064</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib111"><label>111</label><mixed-citation>Yao, M., Zhao, Y., Hu, M., Huang, D., Wang, Y., Yu, J. Z., and Yan, N.: Multiphase reactions between secondary organic aerosol and sulfur dioxide: kinetics and contributions to sulfate formation and aerosol aging, Environ. Sci. Technol. Lett., 6, 768–774, <a href="https://doi.org/10.1021/acs.estlett.9b00657" target="_blank">https://doi.org/10.1021/acs.estlett.9b00657</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib112"><label>112</label><mixed-citation>Yassine, M. M., Dabek-Zlotorzynska, E., Harir, M., and Schmitt-Kopplin, P.:
Identification of weak and strong organic acids in atmospheric aerosols by
capillary electrophoresis/mass spectrometry and ultra-high-resolution
fourier transform ion cyclotron resonance mass spectrometry, Anal. Chem.,
84, 6586–6594, <a href="https://doi.org/10.1021/ac300798g" target="_blank">https://doi.org/10.1021/ac300798g</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib113"><label>113</label><mixed-citation>Zhang, H., Worton, D. R., Lewandowski, M., Ortega, J., Rubitschun, C. L.,
Park, J. H., Kristensen, K., Campuzano-Jost, P., Day, D. A., Jimenez, J. L.,
Jaoui, M., Offenberg, J. H., Kleindienst, T. E., Gilman, J., Kuster, W. C.,
de Gouw, J., Park, C., Schade, G. W., Frossard, A. A., Russell, L., Kaser,
L., Jud, W., Hansel, A., Cappellin, L., Karl, T., Glasius, M., Guenther, A.,
Goldstein, A. H., Seinfeld, J. H., Gold, A., Kamens, R. M., and Surratt, J.
D.: Organosulfates as tracers for secondary organic aerosol (SOA) formation
from 2-methyl-3-buten-2-ol (MBO) in the atmosphere, Environ. Sci. Technol.,
46, 9437–9446, <a href="https://doi.org/10.1021/es301648z" target="_blank">https://doi.org/10.1021/es301648z</a>, 2012.

</mixed-citation></ref-html>
<ref-html id="bib1.bib114"><label>114</label><mixed-citation>Zhang, H., Zhang, Z., Cui, T., Lin, Y. H., Bhathela, N. A., Ortega, J.,
Worton, D. R., Goldstein, A. H., Guenther, A., Jimenez, J. L., Gold, A., and
Surratt, J. D.: Secondary organic aerosol formation via
2-methyl-3-buten-2-ol photooxidation: evidence of acid-catalyzed reactive
uptake of epoxides, Environ. Sci. Technol. Lett., 1, 242–247, <a href="https://doi.org/10.1021/ez500055f" target="_blank">https://doi.org/10.1021/ez500055f</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib115"><label>115</label><mixed-citation>Zheng, G., Su, H., Wang, S., Andreae, M. O., Pöschl, U., and Cheng, Y.:
Multiphase buffer theory explains contrasts in atmospheric aerosol acidity,
Science, 369, 1374–1377, <a href="https://doi.org/10.1126/science.aba3719" target="_blank">https://doi.org/10.1126/science.aba3719</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib116"><label>116</label><mixed-citation>Zhu, M., Jiang, B., Li, S., Yu, Q., Yu, X., Zhang, Y., Bi, X., Yu, J.,
George, C., Yu, Z., and Wang, X.: Organosulfur compounds formed from
heterogeneous reaction between SO<sub>2</sub> and particulate-bound unsaturated fatty
acids in ambient air, Environ. Sci. Technol. Lett., 6, 318–322, <a href="https://doi.org/10.1021/acs.estlett.9b00218" target="_blank">https://doi.org/10.1021/acs.estlett.9b00218</a>, 2019.
</mixed-citation></ref-html>--></article>
