<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/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" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-8211-2026</article-id><title-group><article-title>Liquid-phase reactions of aromatic organosulfates with OH radicals: kinetics, mechanisms, and environmental effects</article-title><alt-title>Liquid-phase reactions of aromatic organosulfates with OH radicals</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Yu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yan</surname><given-names>Caiqing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yuan</surname><given-names>Ruyu</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>Zhang</surname><given-names>Hanyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Haibiao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhu</surname><given-names>Yujiao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Shen</surname><given-names>Hengqing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Wu</surname><given-names>Yan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xue</surname><given-names>Likun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Huang</surname><given-names>Liubin</given-names></name>
          <email>hliubin@sdu.edu.cn</email>
        <ext-link>https://orcid.org/0009-0007-4254-4830</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Environment Research Institute, Shandong University, Qingdao, Shandong 266237, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Environmental Science and Engineering, Shandong University, Qingdao, Shandong 266237, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Liubin Huang (hliubin@sdu.edu.cn)</corresp></author-notes><pub-date><day>12</day><month>June</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>11</issue>
      <fpage>8211</fpage><lpage>8223</lpage>
      <history>
        <date date-type="received"><day>12</day><month>November</month><year>2025</year></date>
           <date date-type="rev-request"><day>25</day><month>November</month><year>2025</year></date>
           <date date-type="rev-recd"><day>23</day><month>May</month><year>2026</year></date>
           <date date-type="accepted"><day>26</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Yu Yang et al.</copyright-statement>
        <copyright-year>2026</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/26/8211/2026/acp-26-8211-2026.html">This article is available from https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e181">Aromatic organosulfates (aromatic OSs) are widely detected in the atmosphere and exhibit high abundance in urban areas. However, the atmospheric fate and environmental impacts of aromatic OSs remain poorly understood. In this study, we investigated the liquid-phase reactions of three aromatic OSs (i.e., phenyl sulfate, p-tolyl sulfate, and 4-ethylphenyl sulfate) with OH radicals (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>). The second-order reaction rate constants (<inline-formula><mml:math id="M2" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) of aromatic OSs with <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> were measured in the range of 4.3–<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at different pHs. It is found that <inline-formula><mml:math id="M6" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values are similar for the homologues of aromatic OSs, whereas they are slightly affected by the solution pHs. These three aromatic OSs oxidized by <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> mainly yielded functionalized OSs, along with fragmented OSs and inorganic sulfate. The observation of inorganic sulfate formation, for the first time, indicates that aromatic OSs can also be converted into inorganic sulfate in analogous to aliphatic OSs. Furthermore, generated functionalized OSs can significantly enhance the light absorption capacity, particularly under acidic conditions. These findings provide new insights into the understanding of the fate of aromatic OSs in the atmosphere that they can rapidly undergo atmospheric transformation, affecting the atmospheric sulfur cycle and altering aerosol optical properties.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2022YFC3701102</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42207121</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Natural Science Foundation of Shandong Province</funding-source>
<award-id>2022HWYQ-010</award-id>
<award-id>ZR2024YQ046</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e276">Secondary organic aerosols (SOA) play a significant role in regional air quality, climate change, and public health (Shrivastava et al., 2017; Peng et al., 2023; Liu et al., 2022). Organosulfates (OSs), organic compounds characterized by a sulfate ester functional group (<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">R</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">O</mml:mi><mml:mo>-</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), have been widely detected in SOA in various environments (from remote to highly polluted) (Kristensen and Glasius, 2011; Zhang et al., 2012; Hansen et al., 2014; Hu et al., 2015; Wang et al., 2018; Ma et al., 2025), accounting for up to 30 % of particulate organic mass (Surratt et al., 2008; Lukács et al., 2009; Tolocka and Turpin, 2012; Li et al., 2025). OSs can be produced from the reactions involving either biogenic volatile organic compounds (VOCs) such as isoprene and monoterpenes, or anthropogenic VOCs such as diesel fuel vapor and aromatics (Hettiyadura et al., 2019; He et al., 2022; Wang et al., 2022; Thomas et al., 2025). In remote or clean areas, OSs were typically measured with the structure characterization of isoprene, monoterpenes, and their derivatives (Surratt et al., 2008; Zhang et al., 2012; Hettiyadura et al., 2017). For example, Thomas et al. (2025) reported that IEPOX-OS (<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:math></inline-formula>) is the dominant species of OSs in aerosols in the Amazonian rainforest. In urban areas, in addition to isoprene and monoterpenes derived OSs, other OSs containing an aromatic ring were also observed in collected aerosols (Kundu et al., 2013; Staudt et al., 2014; Huang et al., 2018; Wang et al., 2021; He et al., 2022). He et al. (2022) identified four kinds of aromatic OSs (i.e., phenyl sulfate, methylphenyl sulfate, benzyl sulfate, and phenethyl sulfate) with concentrations ranging from <inline-formula><mml:math id="M10" display="inline"><mml:mn mathvariant="normal">0.04</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M11" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M12" display="inline"><mml:mn mathvariant="normal">0.08</mml:mn></mml:math></inline-formula> to <inline-formula><mml:math id="M13" display="inline"><mml:mn mathvariant="normal">2.37</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M15" display="inline"><mml:mn mathvariant="normal">3.59</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</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 PM<sub>2.5</sub> collected in Chengdu, China. Previous study observed that aromatic OSs can account for up to 63.5 % of the total identified OSs in a megacity in China (Ma et al., 2014).</p>
      <p id="d2e393">Extensive research has been conducted to elucidate the mechanisms of OS formation in the atmosphere. The proposed formation mechanisms include: (a) the reactive uptake of epoxides on acidic sulfate aerosols. This pathway has been established as an important mechanism for the formation of isoprene-derived OSs (Surratt et al., 2010; Lin et al., 2013; Riva et al., 2019; Lei et al., 2022); (b) the multiphase reactions of unsaturated hydrocarbons with either sulfate radical (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) or sulfur dioxide (<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Previous studies revealed that the addition of <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> on the <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> bond can result in the formation of OSs in aqueous aerosols (Nozière et al., 2010; Schindelka et al., 2013), and <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can effectively react with unsaturated fatty acids to form OSs (Shang et al., 2016; Passananti et al., 2016); (c) heterogeneous reactions of organic peroxides with <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Recent laboratory studies have shown that <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can also be oxidized by organic peroxides rapidly with the production of OSs other than sulfate (Wang et al., 2019; Yao et al., 2019, 2023); (d) substitution reaction of organic nitrates (ONs) by sulfate (Darer et al., 2011; Hu et al., 2011). Darer et al. (2011) and Hu et al. (2011) observed the formation of OSs during the process of ON hydrolysis in the presence of <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; (e) acid-catalyzed esterification of alcohols. While laboratory studies reported OS formation from sulfate esterification (Iinuma et al., 2007), subsequent kinetic studies suggested that this reaction is too slow under typical tropospheric conditions (Minerath et al., 2008).</p>
      <p id="d2e501">Compared to the formation of OSs, understanding of the fate of OSs is still limited. Hydrolysis has been identified as an atmospheric removal process for OSs, with rates depending on the acidity of the aerosol and the molecular structure (Darer et al., 2011; Hu et al., 2011; Mael et al., 2015). Tertiary OSs were found to hydrolyze effectively under acidic conditions, while primary and secondary OSs were relatively stable. Additionally, OSs can also be further oxidized by OH radicals (<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) after formation. Lai et al. (2024) investigated the kinetics of reactions of methyl sulfate and ethyl sulfate with <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, finding that the rate constant (<inline-formula><mml:math id="M28" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) may be significantly affected by the carbon chain length. This finding was also confirmed for more kinds of aliphatic OSs (i.e., methyl sulfate, ethyl sulfate, and propyl sulfate) (Gweme and Styler, 2024). Chen et al. (2020b) detected the products of 2-methyltetrol sulfate diastereomers (IEPOX-OS) oxidized by <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> heterogeneously, observing various fragmented and functionalized OSs after reactions, which their formation pathways were previously unknown in the atmosphere. During the oxidation of some OSs (e.g., methyl sulfate, ethyl sulfate, 2-methyltetrol sulfate, and <inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene derived OSs) by <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, it is interesting to find that OSs can also return to inorganic sulfate except for new OS formation (Kwong et al., 2018; Xu et al., 2020, 2024). In addition to laboratory studies, Tsona et al. (2025) employed quantum chemical calculation based on density functional theory to verify the formation of inorganic sulfate from the gas-phase and aqueous-phase reactions of OSs with <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. It should be noted that currently limited research about the fate of OSs has focused on the biogenic OSs or small alkyl OSs. Little is known about the kinetics and mechanisms for the conversion of aromatic OSs, which is another important kind of OSs, particularly in the urban aerosols. A very recent study investigated the liquid-phase <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of phenyl sulfate other than aliphatic OSs (Gweme and Styler, 2024), observing that the <inline-formula><mml:math id="M34" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> value of phenyl sulfate is much higher than that of aliphatic OSs. After reactions, they observed the new OSs formed (e.g., hydroxyphenyl sulfate and dihydroxyphenyl sulfate), but without any evidence of inorganic sulfate production. However, whether aromatic OSs can be converted into inorganic sulfate or not remains unclear since they did not observe the presence of inorganic sulfate for aliphatic OSs as well. Therefore, to better characterize and understand the liquid-phase reactions of aromatic OSs with <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, further research is warranted.</p>
      <p id="d2e596">In this study, we investigated the liquid-phase reactions of atmospherically relevant aromatic OSs (i.e., phenyl sulfate, p-tolyl sulfate, and 4-ethylphenyl sulfate) with <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. Our study aims to explore the influence of substituent structure on reaction kinetics and elucidate the mechanisms for the conversion pathways of aromatic OSs in the atmosphere. Moreover, given that the oxidation of aromatic organic compounds often induces significant alteration in the optical properties of the reaction system (Li et al., 2021; Arciva et al., 2024), the changes in optical properties were also examined.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Batch reactor experiments</title>
      <p id="d2e624">Experiments of the liquid-phase <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of aromatic OSs were carried out in a 150 mL custom-built quartz reactor thermostated by a water jacket. OH radicals were generated through the aqueous photolysis of 10 mM <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (30 %, Hu Shi) under irradiation from a 300 W Xenon arc lamp to simulate sunlight. Three commercial aromatic OSs (i.e., phenyl sulfate (<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> %, Macklin), p-tolyl sulfate (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> %, Macklin), and 4-ethylphenyl sulfate (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">98</mml:mn></mml:mrow></mml:math></inline-formula> %, Sigma-Aldrich)) were used as representative of aromatic OSs. The solution containing each aromatic OS, <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and dissolved <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was introduced into the quartz reactor with a total volume of 100 mL, and was agitated by an electromagnetic stirrer. Subsequently, the reactor was sealed, and the lamp was ignited to start the reaction. Given the varied pH values in aqueous environments in the atmosphere (from 1 to 9) (Herrmann et al., 2015; Pye et al., 2020), the solution was adjusted to pH 3 (using 36 %–38 % HCl, Hu Shi) and pH 8 (using phosphate buffer (<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Na</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">HPO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)) to represent acidic and alkaline conditions, respectively. All experiments were performed at 298 K at least in duplicate. Details of the experiments carried out in this study are summarized in Table S1 in the Supplement.</p>
      <p id="d2e743">Kinetic experiments were performed with 0.05 mM of each aromatic OS in the presence of a reference compound (i.e., sodium benzoate (BA, 98 %, Macklin)) over the reaction time of 2 h. Two sets of control experiments were carried out. One involved irradiating a solution of each aromatic OS alone to investigate the effects of light only. Another set combined each aromatic OS with <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the dark to preclude the interference from <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Reaction progress was tracked by withdrawing 1 mL aliquots at 30 min intervals for direct analysis via either ultrahigh-performance liquid chromatography (UPLC, Agilent 1260) or ion chromatography (IC, Dionex ICS-600), without any intermediate processes or dilution. Mechanism experiments were conducted the same as the kinetic experiments, except that BA was not added. After reactions, 0.5 mL of the sample was taken and was immediately stored at <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> prior to product analysis using ultra-performance liquid chromatography equipped with a quadrupole time-of-flight mass spectrometer (UPLC-Q-TOF-MS, Bruker Impact HD). Control experiments of each aromatic OS and <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the dark were also performed for comparison in order to eliminate the possibility of detected products resulting from analytical artifacts. To enhance the detection of optical changes, we also conducted experiments at higher aromatic OS concentrations (0.5 or 1 mM) over an extended period of 8 h. For these experiments, the sample was taken every 4 h for immediate measurement of its absorbance spectra using a UV–vis spectrophotometer (Duetta™, Horiba Scientific) and its excitation-emission matrix (EEM) fluorescence spectra by a fluorescence spectrometer (Duetta™, Horiba Scientific). After reactions, the sample was also analyzed by ultrahigh-performance liquid chromatograph coupled with a photodiode array detector and an Orbitrap mass spectrometer (UPLC-PAD-MS, Thermo Fisher Scientific) to investigate how optical changes were affected by the formation of chromophores. 0.5 mL sample was diluted with 0.5 mL <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and 0.25 mL acetonitrile, and then the resulting solution was stored at <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> before analysis.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Kinetic measurements</title>
      <p id="d2e856">The second-order rate constant of each aromatic OS with <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> was measured by the competition kinetic method using 0.05 mM sodium benzoate as the reference compound (Smith et al., 2015). It is noted that one of the important principles of this method is that aromatic OS and the reference compound are consumed only by <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation in the liquid phase. Control experiments of the direct photolysis of each aromatic OS without the addition of <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as well as the reactions of each aromatic OS, BA, and 10 mM <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> without illumination were carried out to preclude interferences from other reactions. Figures S1 and S2 in the Supplement show that the influences of either hydrolysis or photodegradation on the kinetic measurements of these three aromatic OSs are negligible, verifying that the decay of reactants results from <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation. Therefore, in this study, the second-order rate constant for aromatic OS (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) can be calculated using Eq. (E1) based on following Reactions (R1) and (R2).

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M60" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.Ex1"><mml:mtd><mml:mtext>E1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>OS</mml:mtext><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mtext>OS</mml:mtext><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>ref</mml:mtext><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mtext>ref</mml:mtext><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Ex2"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>Aromatic OS</mml:mtext><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mtext>Products</mml:mtext><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.33em"/><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Ex3"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>Reference</mml:mtext><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mtext>Products</mml:mtext><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.33em"/><mml:msub><mml:mi>k</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where [OS] and [ref] are concentrations of aromatic OS and the reference compound (BA) (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mtext>time</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>). The time dependence of aromatic OS consumption is shown in Fig. S3. <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the rate constant of BA with <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value at pH 3 and 8 was reported as <inline-formula><mml:math id="M66" display="inline"><mml:mn mathvariant="normal">4.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M69" display="inline"><mml:mn mathvariant="normal">6.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M70" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Buxton et al., 1988; Richards-Henderson et al., 2014). Figure 1 displays the relative kinetic plots for aromatic OSs oxidized by <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> under acidic (pH 3) and basic (pH 8) conditions. These plots exhibit strong linearity (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.99</mml:mn></mml:mrow></mml:math></inline-formula>), with the slope of each linear fit corresponding to the <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. According to the slope and value of <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> can be calculated.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1270">Loss of aromatic OSs and BA during the process of the liquid-phase <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation at <bold>(a)</bold> pH 3 and <bold>(b)</bold> pH 8.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Reactant and product analysis</title>
      <p id="d2e1303">The concentrations of aromatic OSs and BA were detected using a UPLC coupled with a UV detector operating at 254 nm. Chromatographic separation was performed on a ZORBAX Eclipse Plus C18 column (<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, 5 <inline-formula><mml:math id="M80" 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>) maintained at 40 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The mobile phase consisted of acetonitrile and 0.1 % formic acid aqueous solution (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) delivered at a flow rate of 0.8 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with an injection volume of 10 <inline-formula><mml:math id="M85" 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>. Quantification of aromatic OSs and BA was achieved by calibration curves (Fig. S4) based on their corresponding peak areas in the chromatogram.</p>
      <p id="d2e1398">Inorganic sulfate was analyzed by IC with an analytical column (AS 11-HC, <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, IonPac) and a guard column (AG11-HC, <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, IonPac). The eluent was 20 mM potassium hydroxide at a flow rate of 1 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1459">Reaction products were detected using a UPLC-Q-TOF-MS. Separation was achieved on a C18 column (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, particle <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mtext>size</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>; ZORBAX Eclipse Plus) at 40 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with a mobile phase of pure water and acetonitrile (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) at a flow rate of 1 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The mass spectrometer was equipped with an electrospray ionization (ESI) source operated in the negative (-) ionization mode. The instrumental conditions for the (-) ESI-MS analysis were as follows: capillary voltage, 4000 V; gas temperature, 200 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; dry gas flow rate, 5 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; and nebulizer pressure, 0.4 bar. Data were collected over the mass range of 50–500 Da. We also conducted complementary chromophore product analyses using a UPLC-PAD-MS. Separation was carried out on a C18 column (<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.6</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, particle <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mtext>size</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M99" 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>; ZORBAX Eclipse Plus) at 40 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, with a binary mobile phase consisting of acetonitrile and 0.1 % formic acid (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>/</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) delivered at a flow rate of 0.8 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Mass spectrometric detection was conducted in negative ionization mode over a mass range of 50–500 Da, with the spray voltage set at <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula> kV, the capillary temperature at 320 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, the S-lens RF level at <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> V, the sheath gas (nitrogen) pressure at <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.76</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> Pa, and the auxiliary gas (nitrogen) flow rate at 3.33 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>UV-vis absorption and fluorescent spectra</title>
      <p id="d2e1744">The light absorption spectra of samples during the processes of reactions were collected using a UV–vis spectrophotometer with a scanning interval of 1 nm in the range of 250–700 nm. A reference absorption spectrum of hydrochloric acid solution (pH 3) or phosphate buffer solution (pH 8) was recorded in the same cuvette before sample analysis for baseline correction.</p>
      <p id="d2e1747">The excitation-emission matrix (EEM) fluorescence spectra were recorded by a fluorescence spectrometer. The excitation wavelength (Ex) and emission wavelength (Em) of EEM were both set to the range of 250–600 nm. The scanning intervals were set to 5 and 2 nm. Hydrochloric acid solution (pH 3) or phosphate buffer solution (pH 8) was used as a blank to correct the data as well.</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>Kinetics of liquid-phase reaction of aromatic OSs with <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e1776">The <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values for the reactions of three aromatic OSs (i.e., phenyl sulfate, p-tolyl sulfate, and 4-ethylphenyl sulfate) with <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are summarized in Table 1. At pH 3, the <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value of phenyl sulfate was measured as <inline-formula><mml:math id="M113" display="inline"><mml:mn mathvariant="normal">4.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M114" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This value is comparable to the literature result of phenyl sulfate at pH 2 using pimelic acid as the reference compound (<inline-formula><mml:math id="M117" display="inline"><mml:mn mathvariant="normal">5.34</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M118" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.06</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Gweme and Styler, 2024). The slight difference may be attributed to the reference compound selection and the experimental conditions. Values of <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for the other two aromatic OSs were similar to that of phenyl sulfate (Table 1). The similar <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value among these three aromatic OSs suggests that the substituent carbon chain length on the aromatic ring has a negligible effect on the reaction kinetics. This observation is quite different from that for alkyl OSs, which shows that <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is strongly dependent on the carbon number of OS molecule contained (Lai et al., 2024; Gweme and Styler, 2024). Lai et al. (2024) reported that <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of ethyl sulfate (<inline-formula><mml:math id="M125" display="inline"><mml:mn mathvariant="normal">3.8</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M126" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) was approximately five times higher than that of methyl sulfate (<inline-formula><mml:math id="M129" display="inline"><mml:mn mathvariant="normal">7.5</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M130" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Gweme and Styler (2024) also found that <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value increased with increasing carbon chain length for methyl sulfate (<inline-formula><mml:math id="M134" display="inline"><mml:mn mathvariant="normal">1.03</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.21</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), ethyl sulfate (<inline-formula><mml:math id="M138" display="inline"><mml:mn mathvariant="normal">4.01</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M139" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and propyl sulfate (<inline-formula><mml:math id="M142" display="inline"><mml:mn mathvariant="normal">1.22</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M143" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This distinct behaviour may be ascribed to the different mechanisms for aromatic OSs and alkyl OSs oxidized by <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. For aromatic OSs, the OH radical predominantly attacks the aromatic ring with multiple addition sites (Bloss et al., 2005; Garmash et al., 2020). While alkyl OSs react primarily through hydrogen abstraction, the increasing carbon chain length can enhance reactivity through the inductive effect of <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> groups, the increasing electron density at the hydrogen abstraction site, and the stabilization of resulting alkyl radicals (Dorfman and Adams, 1973; Monod and Doussin, 2008). As such, aromatic OSs have higher reactivity compared to alkyl OSs. The negligible effect of carbon number on the reactivity of aromatic compounds was also observed in other homologues of aromatic compounds. For example, Schuler and Albarran (2002) reported a similar rate constant for the reactions of toluene (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and benzene (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) with <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. It is noted that the <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are lower than those of their parent aromatic hydrocarbons. This reduction in reactivity may be attributed to the electron-withdrawing effect of the <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">OSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> groups, which can reduce the reactivity of the aromatic ring toward <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (Lai et al., 2024).</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e2386">The second-order rate constant (<inline-formula><mml:math id="M156" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) of aromatic OSs reacting with <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in the liquid phase at different pHs.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Species</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center"><inline-formula><mml:math id="M159" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">pH <inline-formula><mml:math id="M162" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3</oasis:entry>
         <oasis:entry colname="col3">pH <inline-formula><mml:math id="M163" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Phenyl sulfate</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M164" display="inline"><mml:mn mathvariant="normal">4.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mn mathvariant="normal">0.1</mml:mn></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M167" display="inline"><mml:mn mathvariant="normal">5.9</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M169" display="inline"><mml:mn mathvariant="normal">0.1</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">p-Tolyl sulfate</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M170" display="inline"><mml:mn mathvariant="normal">4.4</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M172" display="inline"><mml:mn mathvariant="normal">0.1</mml:mn></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mn mathvariant="normal">6.4</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mn mathvariant="normal">0.2</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4-Ethylphenyl sulfate</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M176" display="inline"><mml:mn mathvariant="normal">4.5</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M177" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M178" display="inline"><mml:mn mathvariant="normal">0.1</mml:mn></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M179" display="inline"><mml:mn mathvariant="normal">6.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M181" display="inline"><mml:mn mathvariant="normal">0.1</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Benzoic acid<sup>*</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M183" display="inline"><mml:mn mathvariant="normal">4.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M184" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M185" display="inline"><mml:mn mathvariant="normal">0.8</mml:mn></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M186" display="inline"><mml:mn mathvariant="normal">6.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M187" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M188" display="inline"><mml:mn mathvariant="normal">0.2</mml:mn></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2406"><sup>*</sup> Rate constants for benzoic acid are obtained from Buxton et al. (1988) and Richards-Henderson et al. (2014).</p></table-wrap-foot></table-wrap>

      <p id="d2e2716">Table 1 shows that the carbon chain length has an insignificant effect on the <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of aromatic OSs at pH 8 as well. <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of phenyl sulfate, p-tolyl sulfate, and 4-ethylphenyl sulfate were calculated as <inline-formula><mml:math id="M191" display="inline"><mml:mn mathvariant="normal">5.9</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M194" display="inline"><mml:mn mathvariant="normal">6.4</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M197" display="inline"><mml:mn mathvariant="normal">6.3</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">M</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at pH 8, respectively. These values were higher than those measured at pH 3. It should be noted that different matrices (HCl vs. phosphate buffer) were used to adjust the solution pH, and the ionic strength of the solution is different at different pHs. The ionic strength of solution at pH 3 and pH 8 was estimated as <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> M, respectively. Previous study reported that a substantial increase in ionic strength from ca. zero to 6.5 M only resulted in a tenfold decrease in <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value of phenyl sulfate (Gweme and Styler, 2024). Therefore, the relatively low ionic strength variation between pH conditions in this study may not account for the observed differences in <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values of aromatic OSs. Gweme and Styler (2024) measured the <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of phenyl sulfate at pH 2 and pH 9, observing that it is pH independent. They attributed this pH independence to phenyl sulfate remaining fully deprotonated (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mtext>pKa</mml:mtext><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula>) across the entire experimental pH range. However, previous studies demonstrated that even though methoxyphenol, benzene-diols, and highly substituted phenols mainly exist in their protonated form within the pH range of 2–6, their <inline-formula><mml:math id="M207" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values at pH 2 were generally lower than those at pH 5 or 6 (Arciva et al., 2022). One possible explanation is that the acidic condition could hinder <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> attack on aromatic systems or reduce the lifetime of hydroxycyclohexadienyl radical intermediates, slowing irreversible diol formation (Smith et al., 2015). Another possible explanation is the uncertainty of the <inline-formula><mml:math id="M209" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> value for the reaction of the reference compound with <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (Arciva et al., 2022). Therefore, the difference and uncertainty of the rate constant of the reference compounds selected may also explain the discrepancy between the findings of Gweme and Styler (2024) and our study.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Product measurements and reaction mechanism</title>
      <p id="d2e2980">In this study, products generated from the liquid-phase reactions of three aromatic OSs with <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> were characterized by mass spectrometry. The identified species were consistent across both pH 3 and pH 8 conditions. The observation that product intensities were substantially higher under illumination conditions than in dark controls implies that these products arise from <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation, not from analytical artifacts or hydrolysis (Fig. S5). Table S2  lists the identified products from the reaction of phenyl sulfate with <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. The predominant signals corresponded to hydroxyphenyl sulfate (<inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 189) and dihydroxyphenyl sulfate (<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 205), aligning with previous work (Gweme and Styler, 2024). Additionally, the multiple <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> group addition products (e.g., <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) were also detected. As illustrated in Fig. 2, <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>-initiated oxidation of phenyl sulfate follows a mechanism analogous to conventional aromatic compounds (e.g., benzene). The reaction initiates via the addition of <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to the aromatic ring, generating hydroxycyclohexadienyl radicals (OH-PS radicals) (Lay et al., 1996; Minakata et al., 2015). OH-PS radicals rapidly react with <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to yield phenolic compounds that can undergo further multi-step <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> additions to form these polyhydroxy products (<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>–7). Alternatively, OH-PS radicals can also react with <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form peroxyl radicals (<inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>). The reversible cyclization of <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula> and the subsequent <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> addition generate bicyclic <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>. Bicyclic <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula> can react with <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula> to produce ring-opening products as shown in Table S2 (Wang et al., 2013; Dong et al., 2021). Fragmented OS formation resulting from ring-opening pathways during <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of aromatic OSs has not been reported previously. Notably, some of these ring-opening fragments (e.g., <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) have the same formula as OSs detected in the atmosphere, and their precursors were regarded as biogenic VOCs (Cai et al., 2020; Wang et al., 2022; Huang et al., 2023). For example, previous studies inferred that <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 139 (<inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is produced from reactions related to isoprene and its derivatives (Cai et al., 2020; Wang et al., 2022). In this study, we found that this compound can also be formed through the oxidation of phenyl sulfate by <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, providing the additional pathway for its formation in the atmosphere.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e3407">Scheme for the mechanism of phenyl sulfate reacting with <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026-f02.png"/>

        </fig>

      <p id="d2e3426">Previous studies revealed that some aliphatic OSs (e.g., methyl sulfate, ethyl sulfate, 2-methyltetrol sulfate, and <inline-formula><mml:math id="M240" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene-derived OS) can be converted into inorganic sulfate during <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation (Kwong et al., 2018; Xu et al., 2022, 2024; Lai et al., 2025). The reaction is initiated through hydrogen abstraction from the alkyl group, forming an alkyl radical (<inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">R</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>) followed by rapidly reacting with <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to form <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>. The self- or cross-reactions of <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:mrow></mml:math></inline-formula> can further produce an alkoxy radical (<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">RO</mml:mi><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:mrow></mml:math></inline-formula>). Typically, the formation of inorganic sulfate results from the production of <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which is generated from the decomposition of <inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">OSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> alkoxy radical (defined as the containing of <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">OSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> group at the <inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-position of <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">RO</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula>). Additionally, a recent study proposed an alternative mechanism for the formation of inorganic sulfate, proceeding via sulfite radicals (<inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) (Xu et al., 2024). In this pathway, a <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">OSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> alkoxy radical (<inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:mi mathvariant="normal">C</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">O</mml:mi><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="normal">C</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:msub><mml:mi mathvariant="normal">OSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>) undergoes <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> bond cleavage, yielding an <inline-formula><mml:math id="M258" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">OSO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> alkyl radical, subsequently generating non-sulfate products and <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Upon the formation of <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, inorganic sulfate can be formed through the further reactions of these radicals. In this study, the formation of inorganic sulfate during the reaction of phenyl sulfate with <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> was also examined. Figure S6a  shows that the <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> peak in IC increased progressively with reaction time. The formation of inorganic sulfate was further supported by the evidence of the observed prominent <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> peak at <inline-formula><mml:math id="M266" 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, which is assigned to <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the mass spectra. The intensity in the extracted ion chromatograms (EIC) was substantially higher than in dark controls (Fig. S6b), ruling out in-source fragmentation or hydrolysis as the source of <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The results of IC and mass spectrometry suggest that in addition to new OSs, inorganic sulfate can be formed during the reaction. The mechanism of inorganic sulfate formation is elucidated to be produced from the elimination of the sulfate group from phenyl sulfate, as well as the ipso-addition followed by disproportionation reaction as shown in Fig. 2. Phenyl sulfate can undergo ipso-addition to form OH-PS radical, the ipso-OH-adduct can either rapidly eliminate <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, or undergo bimolecular reactions with other isomers of the OH-PS radical to yield phenol upon elimination of <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> as well. However, compared to other OH addition pathways (o-add, m-add, and p-add), there is only very little room for the ipso-addition. It is noted that a previous study has shown that benzoic acid can undergo decarboxylation reactions (Singla et al., 2004). Another possible pathway for <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> production is proposed to occur via the elimination of the sulfate group from phenyl sulfate, similar to the decarboxylation mechanism of benzoic acid.</p>
      <p id="d2e3857">Tables S3 and S4  summarize the identified products from the liquid-phase reactions of p-tolyl sulfate and 4-ethylphenyl sulfate with <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The mechanisms of p-tolyl sulfate and 4-ethylphenyl sulfate oxidized by <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are similar to that of phenyl sulfate as mentioned above. Similar to phenyl sulfate, the addition of <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> to the aromatic ring predominantly yields phenolic compounds, such as <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Further oxidation initiated by addition of <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> can also generate fragmented products, such as <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Tables S3 and S4). Moreover, the presence of alkyl substituents for p-tolyl sulfate and 4-ethylphenyl sulfate can enable additional hydrogen abstraction pathways (Forstner et al., 1997; Baltaretu et al., 2009; Liu et al., 2017), leading to the formation of aromatic aldehydes (e.g., <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>). In addition to new OSs formed, the formation of inorganic sulfate was also observed during the process of either p-tolyl sulfate or 4-ethylphenyl sulfate oxidized by <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. For p-tolyl sulfate, the gradual increase of the <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> peak with reaction time in IC as well as the pronounced signal of <inline-formula><mml:math id="M286" 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 (<inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) observed in mass spectra provide robust evidences for the formation of inorganic sulfate during the reaction (Fig. S7). For 4-ethylphenyl sulfate, <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> peak in IC was found to overlap with that of the compound itself (Fig. S8a). The inference that 4-ethylphenyl sulfate converts to inorganic sulfate is supported by comparing the intensity of <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M290" 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) peak of samples collected from illumination and dark conditions (Fig. S8b).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Optical property changes</title>
      <p id="d2e4215">Kinetic and mechanism results show that aromatic OSs can undergo rapid <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation to form a series of functionalized and fragmented compounds. The changes of optical properties resulting from the formation of these compounds were also investigated. Figure S9  shows the time-dependent absorption spectra of aromatic OSs during <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation at pH 3. As the reaction progressed, the consumption of reactants accompanied by an increase in absorbance across 250–400 nm. To establish the relationship between light absorption and organic compounds, chromophores formed in the reaction were identified by correlating UV absorption bands with the retention time based on UPLC-PAD-MS analysis. For phenyl sulfate, Fig. 3a and b display that phenyl sulfate (<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 173) was the prominent chromophore with the retention time of 5.67–6.16 min at the beginning of the reaction, exhibiting a characteristic absorption peak at 262 nm (Fig. S10). After the liquid-phase <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation, five major chromophores were observed as shown in Fig. 3c. Chromophore #4 was assigned to the unreacted phenyl sulfate. Figure 3c shows that Chromophore #1, #2, and #3 eluted at 3.47–3.72, 4.00–4.18, and 5.46–5.60 min, respectively. These newly formed chromophores exhibit red-shifted absorption peaks (Fig. S10), likely due to the electron-donating effect of hydroxyl groups increasing aromatic ring electron density (Hems and Abbatt, 2018). The results of EIC suggest that these chromophores correspond to co-eluting mixtures containing <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> isomers (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 189), along with <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 205), <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 221) and <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 239) (Fig. 3d). Among these compounds, <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> exhibited the highest intensity. Chromophore #5, eluting at 14.98–15.67 min, remained unidentified. Its later elution time suggests a larger molecular structure and lower polarity (Fleming et al., 2020). Additionally, there may exist other chromophores unidentified since these five chromophores cannot fully explain the total light absorption as shown in Fig. S10.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e4442">UPLC-PAD-MS chromatograms of samples collected <bold>(a)</bold> before and <bold>(c)</bold> after the liquid-phase <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of phenyl sulfate at pH 3. The <inline-formula><mml:math id="M305" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis and color map represent the wavelength and corresponding UV-vis absorbance, respectively. Extracted ion chromatograms (EIC) of <bold>(b)</bold> phenyl sulfate and <bold>(d)</bold> the compositions of chromophores.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026-f03.png"/>

        </fig>

      <p id="d2e4481">For p-tolyl sulfate, the increase in absorbance, contributing by the formation of chromophores, was also observed after <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation. The primarily newly formed chromophore (Chromophore #1), eluting at 5.23–5.78 min, was identified as <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 201) based on the corresponding EIC (Fig. S11). A blue-shift peak at 258 nm was observed upon the formation of <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which is associated with the generation of a carbonyl (<inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) functional group (Fig. S12). Other newly formed chromophores were characterized as Chromophore #2 and Chromophore #3. Chromophore #2 corresponded to a mixture of <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 203), <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 217), and <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 219) with absorption band at 274 nm, and Chromophore #3 was assigned to an isomer of <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> with the absorption band at 266 nm (Figs. S11 and S12). Figures S13 and S14  show the characterization of chromophores formed from liquid-phase reaction of 4-ethylphenyl sulfate with OH radicals. After reactions, Chromophore #2 (<inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 215) with a characteristic absorption peak at 254 nm was the dominant contributor to total light absorption. Four additional chromophores were also identified: Chromophore #1, a mixture of <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 201), <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 217), <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 231), and <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 233), with absorption peak at 258 nm; Chromophore #3, an isomer of <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with absorption peak at 262 nm; Chromophore #4, an isomer of <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with absorption peak at 274 nm; and Chromophore #5, another isomer of <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, also with a characteristic absorption peak at 274 nm.</p>
      <p id="d2e4983">Furthermore, fluorescence evolutions during liquid-phase <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of aromatic OSs were investigated as shown in Fig. 4. The initial maximum excitation/emission (Ex/Em) wavelengths of phenyl sulfate, p-tolyl sulfate, and 4-ethylphenyl sulfate at pH 3 were <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:mtext>Ex/Em</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">255</mml:mn></mml:mrow></mml:math></inline-formula>/275, 260/284, and 260/284 nm, respectively. The different initial fluorescence intensities among these three aromatic OSs may be attributed to the substituent effect of the compound. Compared to phenyl sulfate, p-tolyl sulfate and 4-ethylphenyl sulfate contain additional methyl and ethyl groups, respectively. These electron-donating substituents extend the conjugation system, lowering the <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mi mathvariant="italic">π</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> transition energy and resulting in both emission redshift and fluorescence enhancement (Cao et al., 2023). During the reaction, the fluorescence intensity initially decreased due to phenyl sulfate consumption, followed by an increase from fluorescent product formation. After 8 h of illumination, a redshifted fluorescence peak emerged at <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mtext>Ex/Em</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">260</mml:mn></mml:mrow></mml:math></inline-formula>/284 nm, implying the formation of products with expanded conjugated systems (e.g., <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) (Tang et al., 2020). The fluorescence intensity of p-tolyl sulfate and 4-ethylphenyl sulfate monotonically decreased with the reaction time and showed a redshift in the fluorescence band at <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mtext>Ex/Em</mml:mtext><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">300</mml:mn><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">400</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">500</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Previous studies uncovered that the emission wavelengths of 400–500 nm are indicative of humic-like substances (HULIS), which can significantly contribute to the light-absorbing properties of organic aerosols (Bianco et al., 2014). Previous studies revealed that the oxidation of non-photolyzable phenolics by <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> can yield HULIS-like fluorescent products (Chang and Thompson, 2010; Tang et al., 2020). Here, multi-hydroxy products from p-tolyl sulfate (e.g., <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and 4-ethylphenyl sulfate (e.g., <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) may exhibit spectral features resembling aerosol HULIS.</p>
      <p id="d2e5314">Employing phenyl sulfate as the representative, spectral changes at pH 8 were also examined. Previous studies have demonstrated that the light absorption properties of carbonyl compounds (e.g., aldehydes) and nitrophenols exhibit pronounced pH-dependence owing to protonation-deprotonation equilibria (Calvert and Schnitzler, 2023; Chen et al., 2020a). In this study, phenyl sulfate remains deprotonated across the pH range of 3–8, resulting in negligible spectral variations in the initial solution (Figs. S9a and S15). However, the temporal evolution of the reaction revealed substantially enhanced absorbance at pH 3 compared to pH 8, particularly within the 300–400 nm range. Figure S16 shows the molecular composition of chromophores from the reaction of phenyl sulfate with <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at pH 8. Chromophores #1, 2, and 4 were identical to Chromophores #1–3 at pH 3 but exhibited stronger absorption due to their higher concentrations. An additional chromophore #3, eluting at 4.99–5.23 min at pH 8, contributed significantly to absorption but the detailed composition of this chromophore is unknown. Compared to pH 3, the solution at pH 8 exhibited an enhanced peak intensity at 4.99–5.23 min, while the peak at 14.98–15.67 min was reduced, which corresponded to distinct changes in the relative contributions to total absorption. For fluorescence spectra, phenyl sulfate exhibited an initial maximum fluorescence peak at <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mtext>Ex/Em</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">255</mml:mn></mml:mrow></mml:math></inline-formula>/279 nm at pH 8 (Fig. S17), displaying minimal variation compared to the pH 3 conditions (Fig. 4a). However, the temporal evolution of its fluorescence spectrum differed obviously at different pH values. Under basic conditions (pH 8), fluorescence decreased monotonically without recovery and no red shift of fluorescence peak occurred even after 8 h.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e5341">Time profile of excitation-emission matrix (EEM) fluorescence spectra during the processes of <bold>(a)</bold> phenyl sulfate, <bold>(b)</bold> p-tolyl sulfate and <bold>(c)</bold> 4-ethylphenyl sulfate reacting with <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> at pH 3.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/8211/2026/acp-26-8211-2026-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Atmospheric implications and conclusions</title>
      <p id="d2e5378">The current study investigated the liquid-phase reactions of three aromatic OSs (i.e., phenyl sulfate, p-tolyl sulfate, and 4-ethylphenyl sulfate) with <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. It was found that functionalized and fragmented OSs as well as inorganic sulfate can be yielded during the reactions. The formation of functionalized OSs can enhance light absorption, thereby influencing aerosol optical properties. Fragmented OS formation resulting from ring-opening pathways during <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of aromatic OSs has not been reported previously. Several fragmented OSs (e.g., <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">S</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) detected in our study have been previously identified in ambient aerosols (Kuang et al., 2016; Cai et al., 2020; Wang et al., 2022; Yang et al., 2023), suggesting that aromatic OSs may serve as a potential source for aliphatic OSs in the atmosphere. Furthermore, the observation of inorganic sulfate formation, for the first time, indicates that aromatic OSs can also be converted into inorganic sulfate in analogous to aliphatic OSs (Kwong et al., 2018; Xu et al., 2022, 2024; Lai et al., 2025), potentially contributing to the atmospheric sulfur cycle. Further investigations are warranted to examine whether the proposed mechanism can be also applied to other types of aromatic OSs in the atmosphere.</p>
      <p id="d2e5506">The results of kinetic measurements reveal that aromatic OSs can react rapidly with <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>. As shown in Table S5, using the <inline-formula><mml:math id="M356" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values coupled with modeled <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (Herrmann et al., 2005, 2010), the corresponding lifetimes (<inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) of aromatic OSs can be calculated. In urban areas, the concentrations of <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> in cloud and aerosols were estimated as <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> M, respectively. In contrast to urban areas, remote areas exhibited higher <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations both in cloud (<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> M) and aerosols (<inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> M) (Herrmann et al., 2005, 2010). Concentrations of <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are consistently higher in aerosols than in cloud across different environments. Consequently, the lifetimes of aromatic OSs ranged from approximately 1 min in remote aerosols to up to 16 h in urban cloud water (Table S5), highlighting the significant influence of environmental conditions on their persistence. Previous studies reported that the lifetimes of aliphatic OSs in such varied environments range from several minutes to dozen days (Gweme and Styler, 2024; Lai et al., 2025). The substantially shorter lifetimes of aromatic OSs can be attributed to their higher reactivity toward <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> compared to aliphatic OSs. Given the high abundance of aromatic OSs and their fast <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>OS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in urban environments, aromatic OSs likely play a significant role in both the atmospheric sulfur cycle and environmental effects. In addition to lifetimes in aqueous environments, previous studies also estimated the atmospheric lifetimes of several aliphatic OSs via heterogeneous <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation based on measured uptake coefficients (Kwong et al., 2018; Lam et al., 2019; Xu et al., 2022). For instance, the atmospheric lifetime of methyl sulfate ranges from 53 min to 32 d via liquid-phase <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation, compared to approximately 20 d via heterogeneous <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation (Gweme and Styler, 2024; Kwong et al., 2018). The results indicate that the atmospheric lifetimes of these OSs differ between liquid-phase and heterogeneous <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation pathways. However, experiments of heterogeneous reactions of aromatic OSs with <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> were not performed in this study. Thus, we cannot directly compare the lifetime of aromatic and aliphatic OSs through heterogeneous <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation, and further investigation is warranted.</p>
</sec>

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

      <p id="d2e5761">Data are available upon request from the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5764">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-8211-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-8211-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5773">LH designed research. YY, CY, RY, PL, HZ, and HC performed research. YY and LH analyzed data. YY and LH wrote the paper. LX, CY, YW, YZ, and HS provided valuable comments and suggestions for the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5779">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5785">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5791">We gratefully acknowledge the support from the State Key Laboratory of Microbial Technology of Shandong University.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5796">This study was financially supported by the National Key Research and Development Program of China (2022YFC3701102), the National Natural Science Foundation of China (42207121), the Outstanding Young Scholar of the Natural Science Foundation of Shandong Province, China (Overseas) (2022HWYQ-010), the Natural Science Foundation of Shandong Province (ZR2024YQ046). Liubin Huang gratefully acknowledges the support of the Program for Taishan Young Scholar (tsqnz20221107).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5802">This paper was edited by Jason Surratt and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Arciva, S., Niedek, C., Mavis, C., Yoon, M., Sanchez, M. E., Zhang, Q., and Anastasio, C.: Aqueous <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of highly substituted phenols as a source of secondary organic aerosol, Environ. Sci. Technol., 56, 9959–9967, <ext-link xlink:href="https://doi.org/10.1021/acs.est.2c02225" ext-link-type="DOI">10.1021/acs.est.2c02225</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Arciva, S., Ma, L., Mavis, C., Guzman, C., and Anastasio, C.: Formation and loss of light absorbance by phenolic aqueous SOA by <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:mrow class="chem"><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and an organic triplet excited state, Atmos. Chem. Phys., 24, 4473–4485, <ext-link xlink:href="https://doi.org/10.5194/acp-24-4473-2024" ext-link-type="DOI">10.5194/acp-24-4473-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Baltaretu, C. O., Lichtman, E. I., Hadler, A. B., and Elrod, M. J.: Primary atmospheric oxidation mechanism for toluene, J. Phys. Chem. A, 113, 221–230,  <ext-link xlink:href="https://doi.org/10.1021/jp806841t" ext-link-type="DOI">10.1021/jp806841t</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Bianco, A., Minella, M., Laurentiis, E. D., Maurino, V., Minero, C., and Vione, D.: Photochemical generation of photoactive compounds with fulvic-like and humic-like fluorescence in aqueous solution, Chemosphere, 111, 529–536,  <ext-link xlink:href="https://doi.org/10.1016/j.chemosphere.2014.04.035" ext-link-type="DOI">10.1016/j.chemosphere.2014.04.035</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Bloss, C., Wagner, V., Jenkin, M. E., Volkamer, R., Bloss, W. J., Lee, J. D., Heard, D. E., Wirtz, K., Martin-Reviejo, M., Rea, G., Wenger, J. C., and Pilling, M. J.: Development of a detailed chemical mechanism (MCMv3.1) for the atmospheric oxidation of aromatic hydrocarbons, Atmos. Chem. Phys., 5, 641–664, <ext-link xlink:href="https://doi.org/10.5194/acp-5-641-2005" ext-link-type="DOI">10.5194/acp-5-641-2005</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Buxton, G. V., Greenstock, C. L., Helman, W. P., and Ross, A. B.: Critical review of rate constants for reactions of hydrated electrons, hydrogen atoms and hydroxyl radicals (<inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>/</mml:mo><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) in aqueous solution, J. Phys. Chem. Ref. Data, 17, 513–886, <ext-link xlink:href="https://doi.org/10.1063/1.555805" ext-link-type="DOI">10.1063/1.555805</ext-link>, 1988.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Cai, D., Wang, X., Chen, J., and Li, X.: Molecular characterization of organosulfates in highly polluted atmosphere using ultra-high-resolution mass spectrometry, J. Geophys. Res.-Atmos., 125, e2019JD032253,  <ext-link xlink:href="https://doi.org/10.1029/2019JD032253" ext-link-type="DOI">10.1029/2019JD032253</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Calvert, C. T. and Schnitzler, E. G.: Light absorption by cinnamaldehyde constituents of biomass burning organic aerosol modeled using time-dependent density functional theory, ACS Earth Space Chem., 7, 490–500,  <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.2c00344" ext-link-type="DOI">10.1021/acsearthspacechem.2c00344</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Cao, T., Li, M., Xu, C., Song, J., Fan, X., Li, J., Jia, W., and Peng, P.: Technical note: Chemical composition and source identification of fluorescent components in atmospheric water-soluble brown carbon by excitation–emission matrix spectroscopy with parallel factor analysis – potential limitations and applications, Atmos. Chem. Phys., 23, 2613–2625, <ext-link xlink:href="https://doi.org/10.5194/acp-23-2613-2023" ext-link-type="DOI">10.5194/acp-23-2613-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Chang, J. L. and Thompson, J. E.: Characterization of colored products formed during irradiation of aqueous solutions containing <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and phenolic compounds, Atmos. Environ., 44, 541–551,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2009.10.042" ext-link-type="DOI">10.1016/j.atmosenv.2009.10.042</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Chen, J. Y., Rodriguez, E., Jiang, H., Chen, K., Frie, A., Zhang, H., Bahreini, R., and Lin, Y.-H.: Time-dependent density functional theory investigation of the UV–Vis spectra of organonitrogen chromophores in brown carbon, ACS Earth Space Chem., 4, 311–320,  <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.9b00328" ext-link-type="DOI">10.1021/acsearthspacechem.9b00328</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Chen, Y., Zhang, Y., Lambe, A. L., 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. Tech. Let., 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>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</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,  <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.bib14"><label>14</label><mixed-citation>Dong, P., Chen, Z., Qin, X., and Gong, Y.: Water significantly changes the ring-cleavage process during aqueous photooxidation of toluene, Environ. Sci. Technol., 55, 16316–16325,  <ext-link xlink:href="https://doi.org/10.1021/acs.est.1c04770" ext-link-type="DOI">10.1021/acs.est.1c04770</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Dorfman, L. M. and Adams, G. E.: Reactivity of the hydroxyl radical in aqueous solutions, National Bureau of Standards, 76, <ext-link xlink:href="https://doi.org/10.6028/NBS.NSRDS.46" ext-link-type="DOI">10.6028/NBS.NSRDS.46</ext-link>, 1973.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Fleming, L. T., Lin, P., Roberts, J. M., Selimovic, V., Yokelson, R., Laskin, J., Laskin, A., and Nizkorodov, S. A.: Molecular composition and photochemical lifetimes of brown carbon chromophores in biomass burning organic aerosol, Atmos. Chem. Phys., 20, 1105–1129, <ext-link xlink:href="https://doi.org/10.5194/acp-20-1105-2020" ext-link-type="DOI">10.5194/acp-20-1105-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Forstner, H. J. L., Flagan, R. C., and Seinfeld, J. H.: Secondary organic aerosol from the photooxidation of aromatic hydrocarbons: Molecular composition, Environ. Sci. Technol., 31, 1345–1358,  <ext-link xlink:href="https://doi.org/10.1021/es9605376" ext-link-type="DOI">10.1021/es9605376</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Garmash, O., Rissanen, M. P., Pullinen, I., Schmitt, S., Kausiala, O., Tillmann, R., Zhao, D., Percival, C., Bannan, T. J., Priestley, M., Hallquist, Å. M., Kleist, E., Kiendler-Scharr, A., Hallquist, M., Berndt, T., McFiggans, G., Wildt, J., Mentel, T. F., and Ehn, M.: Multi-generation OH oxidation as a source for highly oxygenated organic molecules from aromatics, Atmos. Chem. Phys., 20, 515–537, <ext-link xlink:href="https://doi.org/10.5194/acp-20-515-2020" ext-link-type="DOI">10.5194/acp-20-515-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Gweme, D. T. and Styler, S. A.: OH radical oxidation of organosulfates in the atmospheric aqueous phase, J. Phys. Chem. A, 128, 9462–9475,  <ext-link xlink:href="https://doi.org/10.1021/acs.jpca.4c02877" ext-link-type="DOI">10.1021/acs.jpca.4c02877</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</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, <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.bib21"><label>21</label><mixed-citation>He, J., Li, L., Li, Y., Huang, M., Zhu, Y., and Deng, S.: Synthesis, MS/MS characteristics and quantification of six aromatic organosulfates in atmospheric PM<sub>2.5</sub>, Atmos. Environ., 290, 119361,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2022.119361" ext-link-type="DOI">10.1016/j.atmosenv.2022.119361</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Hems, R. F. and Abbatt, J. P. D.: Aqueous phase photo-oxidation of brown carbon nitrophenols: Reaction kinetics, mechanism, and evolution of light absorption, ACS Earth Space Chem., 2, 225–234,  <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.7b00123" ext-link-type="DOI">10.1021/acsearthspacechem.7b00123</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Herrmann, H., Tilgner, A., Barzaghi, P., Majdik, Z., Gligorovski, S., Poulain, L., and Monod, A.: Towards a more detailed description of tropospheric aqueous phase organic chemistry: CAPRAM 3.0, Atmos. Environ., 39, 4351–4363,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2005.02.016" ext-link-type="DOI">10.1016/j.atmosenv.2005.02.016</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Herrmann, H., Hoffmann, D., Schaefer, T., Bräuer, P., and Tilgner, A.: Tropospheric aqueous-phase free-radical chemistry: Radical sources, spectra, reaction kinetics and prediction tools, ChemPhysChem, 11, 3796–3822, <ext-link xlink:href="https://doi.org/10.1002/cphc.201000533" ext-link-type="DOI">10.1002/cphc.201000533</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Herrmann, H., Schaefer, T., Tilgner, A., Styler, S. A., Weller,C., Teich, M., and Otto, T.: Tropospheric aqueous-phase chemistry: Kinetics, mechanisms, and its coupling to a changing gas phase, Chem. Rev., 115, 4259–4334,  <ext-link xlink:href="https://doi.org/10.1021/cr500447k" ext-link-type="DOI">10.1021/cr500447k</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</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, <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.bib27"><label>27</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, <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.bib28"><label>28</label><mixed-citation>Hu, K. S., Darer, A. I., and Elrod, M. J.: Thermodynamics and kinetics of the hydrolysis of atmospherically relevant organonitrates and organosulfates, Atmos. Chem. Phys., 11, 8307–8320, <ext-link xlink:href="https://doi.org/10.5194/acp-11-8307-2011" ext-link-type="DOI">10.5194/acp-11-8307-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Hu, W. W., Campuzano-Jost, P., Palm, B. B., Day, D. A., Ortega, A. M., Hayes, P. L., Krechmer, J. E., Chen, Q., Kuwata, M., Liu, Y. J., de Sá, S. S., McKinney, K., Martin, S. T., Hu, M., Budisulistiorini, S. H., Riva, M., Surratt, J. D., St. Clair, J. M., Isaacman-Van Wertz, G., Yee, L. D., Goldstein, A. H., Carbone, S., Brito, J., Artaxo, P., de Gouw, J. A., Koss, A., Wisthaler, A., Mikoviny, T., Karl, T., Kaser, L., Jud, W., Hansel, A., Docherty, K. S., Alexander, M. L., Robinson, N. H., Coe, H., Allan, J. D., Canagaratna, M. R., Paulot, F., and Jimenez, J. L.: Characterization of a real-time tracer for isoprene epoxydiols-derived secondary organic aerosol (IEPOX-SOA) from aerosol mass spectrometer measurements, Atmos. Chem. Phys., 15, 11807–11833, <ext-link xlink:href="https://doi.org/10.5194/acp-15-11807-2015" ext-link-type="DOI">10.5194/acp-15-11807-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Huang, L., Cochran, R. E., Coddens, E. M., and Grassian, V. H.: Formation of organosulfur compounds through transition metal ion-catalyzed aqueous phase reactions, Environ. Sci. Tech. Let., 5, 315–321,  <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.8b00225" ext-link-type="DOI">10.1021/acs.estlett.8b00225</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Huang, L., Wang, Y., Zhao, Y., Hu, H., Yang, Y., Wang, Y., Yu, J.-Z., Chen, T., Cheng, Z., Li, C., and Xiao., H.: Biogenic and anthropogenic contributions to atmospheric organosulfates in a typical megacity in eastern China, J. Geophys. Res.-Atmos., 128, e2023JD038848,  <ext-link xlink:href="https://doi.org/10.1029/2023JD038848" ext-link-type="DOI">10.1029/2023JD038848</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Iinuma, Y., Müller, C., Berndt, T., Böge, O., Claeys, M., and Herrmann, H.: Evidence for the existence of organosulfates from <inline-formula><mml:math id="M379" 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, <ext-link xlink:href="https://doi.org/10.1021/es070938t" ext-link-type="DOI">10.1021/es070938t</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Kuang, B. Y., Lin, P., Hu, M., and Yu, J. Z.: Aerosol size distribution characteristics of organosulfates in the Pearl River Delta region, China, Atmos. Environ., 130, 23–35,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2015.09.024" ext-link-type="DOI">10.1016/j.atmosenv.2015.09.024</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</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, <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.bib35"><label>35</label><mixed-citation>Kwong, K. C., Chim, M. M., Davies, J. F., Wilson, K. R., and Chan, M. N.: Importance of sulfate radical anion formation and chemistry in heterogeneous OH oxidation of sodium methyl sulfate, the smallest organosulfate, Atmos. Chem. Phys., 18, 2809–2820, <ext-link xlink:href="https://doi.org/10.5194/acp-18-2809-2018" ext-link-type="DOI">10.5194/acp-18-2809-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</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,  <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.bib37"><label>37</label><mixed-citation>Lai, D., Schaefer, T., Zhang, Y., Li, Y. J., Xing, S., Herrmann, H., and Chan, M. N.: Deactivating effect of hydroxyl radicals reactivity by sulfate and sulfite functional groups in aqueous phase-atmospheric implications for small organosulfur compounds, ACS EST Air, 1, 678–689,  <ext-link xlink:href="https://doi.org/10.1021/acsestair.4c00033" ext-link-type="DOI">10.1021/acsestair.4c00033</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Lai, D., Bai, Y., Zhang, Z., So, P.-K., Li, Y. J., Tse, Y.-L. S., Yeung, Y.-Y., Schaefer, T., Herrmann, H., Yu, J. Z., Wang, Y., and Chan, M. N.: Rapid aqueous-phase oxidation of an <inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene-derived organosulfate by hydroxyl radicals: a potential source of some unclassified oxygenated and small organosulfates in the atmosphere, Atmos. Chem. Phys., 25, 12569–12584, <ext-link xlink:href="https://doi.org/10.5194/acp-25-12569-2025" ext-link-type="DOI">10.5194/acp-25-12569-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Lam, H. K., Kwong, K. C., Poon, H. Y., Davies, J. F., Zhang, Z., Gold, A., Surratt, J. D., and Chan, M. N.: Heterogeneous OH oxidation of isoprene-epoxydiol-derived organosulfates: kinetics, chemistry and formation of inorganic sulfate, Atmos. Chem. Phys., 19, 2433–2440, <ext-link xlink:href="https://doi.org/10.5194/acp-19-2433-2019" ext-link-type="DOI">10.5194/acp-19-2433-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Lay, T. H., Bozzelli, J. W., and Seinfeld, J. H.: Atmospheric photochemical oxidation of benzene: benzene + OH and the benzene–OH adduct (hydroxyl-2,4-cyclohexadienyl) + <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, J. Phys. Chem., 100, 6543–6554,  <ext-link xlink:href="https://doi.org/10.1021/jp951726y" ext-link-type="DOI">10.1021/jp951726y</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Lei, Z., Chen, Y., Zhang, Y., Cooke, M. E., Ledsky, I. R., Armstrong, N. C., Olson, N. E., Zhang, Z., Gold, A., Surratt, J. D., and Ault, A. P.: Initial pH governs secondary organic aerosol phase state and morphology after uptake of isoprene epoxydiols (IEPOX), Environ. Sci. Technol., 56, 10596–10607,  <ext-link xlink:href="https://doi.org/10.1021/acs.est.2c01579" ext-link-type="DOI">10.1021/acs.est.2c01579</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Li, F., Tsona, N. T., Li, J., and Du, L.: Aqueous-phase oxidation of syringic acid emitted from biomass burning: Formation of light-absorbing compounds, Sci. Total Environ., 765, 144239,  <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.144239" ext-link-type="DOI">10.1016/j.scitotenv.2020.144239</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Li, S., Wang, Y., Zhang, Y., Yi, Y., Wang, Y., Guo, Y., Yu, C., Jiang, Y., Shi, J., Zhang, C., Zhu, J., Hu, W., Yu, J., Yao, X., Gao, H., and Hu, M.: Atmospheric organosulfate formation regulated by continental outflows and marine emissions over East Asian marginal seas, Atmos. Chem. Phys., 25, 12585–12598, <ext-link xlink:href="https://doi.org/10.5194/acp-25-12585-2025" ext-link-type="DOI">10.5194/acp-25-12585-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><mixed-citation>Lin, Y.-H., Knipping, E. M., Edgerton, E. S., Shaw, S. L., and Surratt, J. D.: Investigating the influences of <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels on isoprene-derived secondary organic aerosol formation using conditional sampling approaches, Atmos. Chem. Phys., 13, 8457–8470, <ext-link xlink:href="https://doi.org/10.5194/acp-13-8457-2013" ext-link-type="DOI">10.5194/acp-13-8457-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><mixed-citation>Liu, F., Xu, T., Ng, N. L., and Lu, H.: Linking cell health and reactive oxygen species from secondary organic aerosols exposure, Environ. Sci. Technol., 57, 1039–1048,  <ext-link xlink:href="https://doi.org/10.1021/acs.est.2c05171" ext-link-type="DOI">10.1021/acs.est.2c05171</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><mixed-citation>Liu, G., Ji, J., Huang, H., Xie, R., Feng, Q., Shu, Y., Zhan, Y., Fang, R., He, M., Liu, S., Ye, X., and Leung, D. Y. C.: UV/<inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>: An efficient aqueous advanced oxidation process for VOCs removal, Chem. Eng. J., 324, 44–50,  <ext-link xlink:href="https://doi.org/10.1016/j.cej.2017.04.105" ext-link-type="DOI">10.1016/j.cej.2017.04.105</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</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, <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.bib48"><label>48</label><mixed-citation>Ma, J., Reininger, N., Zhao, C, Döbler, D., Rüdiger, J., Qiu, Y., Ungeheuer, F., Simon, M., D'Angelo, L., Breuninger, A., David, J., Bai, Y., Li, Y., Xue, Y., Li, L., Wang, Y., Hildmann, S., Hoffmann, T., Liu, B., Niu, H., Wu, Z., and Vogel, A. L.: Unveiling a large fraction of hidden organosulfates in ambient organic aerosol, Nat. Commun., 16, 4098, <ext-link xlink:href="https://doi.org/10.1038/s41467-025-59420-y" ext-link-type="DOI">10.1038/s41467-025-59420-y</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</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,  <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.bib50"><label>50</label><mixed-citation>Mael, L. E., Jacobs, M. I., and Elrod, M. J.: Organosulfate and nitrate formation and reactivity from epoxides derived from 2-Methyl-3-buten-2-ol, J. Phys. Chem. A, 119, 4464–4472,  <ext-link xlink:href="https://doi.org/10.1021/jp510033s" ext-link-type="DOI">10.1021/jp510033s</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><mixed-citation>Minakata, D., Song, W., Mezyk, S. P., and Cooper, W. J.: Experimental and theoretical studies on aqueous-phase reactivity of hydroxyl radicals with multiple carboxylated and hydroxylated benzene compounds, Phys. Chem. Chem. Phys., 17, 11796–11812,  <ext-link xlink:href="https://doi.org/10.1039/C5CP00861A" ext-link-type="DOI">10.1039/C5CP00861A</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><mixed-citation>Minerath, E. C., Casale, M. T., and Elrod, M. J.: Kinetics feasibility study of alcohol sulfate esterification reactions in tropospheric aerosols, Environ. Sci. Technol., 42, 4410–4415,  <ext-link xlink:href="https://doi.org/10.1021/es8004333" ext-link-type="DOI">10.1021/es8004333</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><mixed-citation>Monod, A. and Doussin, J. F.: Structure-activity relationship for the estimation of OH-oxidation rate constants of aliphatic organic compounds in the aqueous phase: alkanes, alcohols, organic acids and bases, Atmos. Environ., 42, 7611–7622,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2008.06.005" ext-link-type="DOI">10.1016/j.atmosenv.2008.06.005</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</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, <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.bib55"><label>55</label><mixed-citation>Passananti, M., Kong, L., Shang, J., Dupart, Y., Perrier, S., Chen, J., Donaldson, J., and George, C.: Organosulfate formation through the heterogeneous reaction of sulfur dioxide with unsaturated fatty acids and long-chain alkenes, Angew. Chem. Int. Edit., 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.bib56"><label>56</label><mixed-citation>Peng, X., Xie, T.-T., Tang, M.-X., Cheng, Y., Peng, Y., Wei, F.-H., Cao, L.-M., Yu, K., Du, K., He, L.-Y., and Huang, X.-F.: Critical role of secondary organic aerosol in urban atmospheric visibility improvement identified by machine learning, Environ. Sci. Tech. Let., 10, 976–982,  <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.3c00084" ext-link-type="DOI">10.1021/acs.estlett.3c00084</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><mixed-citation>Pye, H. O. T., Nenes, A., Alexander, B., Ault, A. P., Barth, M. C., Clegg, S. L., Collett Jr., J. L., Fahey, K. M., Hennigan, C. J., Herrmann, H., Kanakidou, M., Kelly, J. T., Ku, I.-T., McNeill, V. F., Riemer, N., Schaefer, T., Shi, G., Tilgner, A., Walker, J. T., Wang, T., Weber, R., Xing, J., Zaveri, R. A., and Zuend, A.: The acidity of atmospheric particles and clouds, Atmos. Chem. Phys., 20, 4809–4888, <ext-link xlink:href="https://doi.org/10.5194/acp-20-4809-2020" ext-link-type="DOI">10.5194/acp-20-4809-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><mixed-citation>Richards-Henderson, N. K., Hansel, A. K., Valsaraj, K. T., and Anastasio, C.: Aqueous oxidation of green leaf volatiles by hydroxyl radical as a source of SOA: Kinetics and SOA yields, Atmos. Environ., 95, 105–112,  <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.06.026" ext-link-type="DOI">10.1016/j.atmosenv.2014.06.026</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</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., Oliveira, R. L., Santos, E. O., Machado, C. M. D., Szopa, S., Zhao, Y., Alves, E. G., Sá, S. S., Hu, W., Knipping, E. M., Shaw, S. L., Junior, S. D., 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.bib60"><label>60</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,  <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.bib61"><label>61</label><mixed-citation>Schuler, R. H. and Albarran, G.: The rate constants for reaction of <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> radicals with benzene and toluene, Radiat. Phys. Chem., 64, 189–195, <ext-link xlink:href="https://doi.org/10.1016/S0969-806X(01)00497-2" ext-link-type="DOI">10.1016/S0969-806X(01)00497-2</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><mixed-citation>Shang, J., Passananti, M., Dupart, Y., Ciuraru, R., Tinel, L., Rossignol, S., Perrier, S., Zhu, T., and George, C.: <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake on oleic acid: A new formation pathway of organosulfur compounds in the atmosphere, Environ. Sci. Tech. Let., 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.bib63"><label>63</label><mixed-citation>Shrivastava, M., Cappa, C. D., Fan, J., 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,  <ext-link xlink:href="https://doi.org/10.1002/2016RG000540" ext-link-type="DOI">10.1002/2016RG000540</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><mixed-citation>Singla, R., Ashokkumar, M., and Grieser, F.: The mechanism of the sonochemical degradation of benzoic acid in aqueous solutions, Res. Chem. Intermediat., 30, 723–733,  <ext-link xlink:href="https://doi.org/10.1163/1568567041856963" ext-link-type="DOI">10.1163/1568567041856963</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><mixed-citation>Smith, J. D., Kinney, H., and Anastasio, C.: Aqueous benzene-diols react with an organic triplet excited state and hydroxyl radical to form secondary organic aerosol, Phys. Chem. Chem. Phys., 17, 10227–10237,  <ext-link xlink:href="https://doi.org/10.1039/C4CP06095D" ext-link-type="DOI">10.1039/C4CP06095D</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</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,  <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.bib67"><label>67</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., Flagan, R. C., and Seinfeld, J. H.: Organosulfate formation in biogenic secondary organic aerosol, J. Phys. Chem. A, 112, 8345–8378, <ext-link xlink:href="https://doi.org/10.1021/jp802310p" ext-link-type="DOI">10.1021/jp802310p</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><mixed-citation>Surratt, J. D., Chan, A. W. H., Eddingsaas, N. C., 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.bib69"><label>69</label><mixed-citation>Tang, S., Li, F., Tsona, N. T., Lu, C., Wang, X., and Du, L.: Aqueous-phase photooxidation of vanillic acid: A potential source of Humic-Like Substances (HULIS), ACS Earth Space Chem., 4, 862–872,  <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.0c00070" ext-link-type="DOI">10.1021/acsearthspacechem.0c00070</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><mixed-citation>Thomas, A. E., Glicker, H. S., Guenther, A. B., Seco, R., Vega Bustillos, O., Tota, J., Souza, R. A. F., and Smith, J. N.: Seasonal investigation of ultrafine-particle organic composition in an eastern Amazonian rainforest, Atmos. Chem. Phys., 25, 959–977, <ext-link xlink:href="https://doi.org/10.5194/acp-25-959-2025" ext-link-type="DOI">10.5194/acp-25-959-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><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.bib72"><label>72</label><mixed-citation>Tsona Tchinda, N., Lv, X., Tasheh, S. N., Ghogomu, J. N., and Du, L.: Atmospheric fate of organosulfates through gas-phase and aqueous-phase reactions with hydroxyl radicals: implications for inorganic sulfate formation, Atmos. Chem. Phys., 25, 8575–8590, <ext-link xlink:href="https://doi.org/10.5194/acp-25-8575-2025" ext-link-type="DOI">10.5194/acp-25-8575-2025</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><mixed-citation>Wang, L., Wu, R., and Xu, C.: Atmospheric oxidation mechanism of benzene. Fates of alkoxy radical intermediates and revised mechanism, J. Phys. Chem. A, 117, 14163–14168,  <ext-link xlink:href="https://doi.org/10.1021/jp4101762" ext-link-type="DOI">10.1021/jp4101762</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><mixed-citation>Wang, S., Zhou, S., Tao, Y., Tsui, W. G., Ye, J., Yu, J. Z., Murphy, J. G., McNeill, V. F., Abbat, 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.bib75"><label>75</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, <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.bib76"><label>76</label><mixed-citation>Wang, Y., Zhao, Y., Wang, Y., Yu, J.-Z., Shao, J., Liu, P., Zhu, W., Cheng, Z., Li, Z., Yan, N., and Xiao, H.: Organosulfates in atmospheric aerosols in Shanghai, China: seasonal and interannual variability, origin, and formation mechanisms, Atmos. Chem. Phys., 21, 2959–2980, <ext-link xlink:href="https://doi.org/10.5194/acp-21-2959-2021" ext-link-type="DOI">10.5194/acp-21-2959-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><mixed-citation>Wang, Y., Ma, Y., Kuang, B., Lin, P., Liang, Y., Huang, C., and Yu, J. Z.: Abundance of organosulfates derived from biogenic volatile organic compounds: Seasonal and spatial contrasts at four sites in China, Sci. Total Environ., 806, 151275,  <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2021.151275" ext-link-type="DOI">10.1016/j.scitotenv.2021.151275</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><mixed-citation>Xu, R., Ge, Y., Kwong, K. C., Poon, H. Y., Wilson, K. R., Yu, J. Z., and Chan, M. N.: Inorganic sulfur species formed upon heterogeneous <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> oxidation of organosulfates: A case study of methyl sulfate, ACS Earth Space Chem., 4, 2041–2049, <ext-link xlink:href="https://doi.org/10.1021/acsearthspacechem.0c00209" ext-link-type="DOI">10.1021/acsearthspacechem.0c00209</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><mixed-citation>Xu, R., Ng, S. I. M., Chow, W. S., Wong, Y. K., Wang, Y., Lai, D., Yao, Z., So, P.-K., Yu, J. Z., and Chan, M. N.: Chemical transformation of <inline-formula><mml:math id="M388" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene-derived organosulfate via heterogeneous OH oxidation: implications for sources and environmental fates of atmospheric organosulfates, Atmos. Chem. Phys., 22, 5685–5700, <ext-link xlink:href="https://doi.org/10.5194/acp-22-5685-2022" ext-link-type="DOI">10.5194/acp-22-5685-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><mixed-citation>Xu, R., Chen, Y., Ng, S. I. M., Zhang, Z, Gold, A., Turpin, B. J., Ault, A. P., Surratt, J. D., and Chan, M. N.: Formation of inorganic sulfate and volatile nonsulfated products from heterogeneous hydroxyl radical oxidation of 2-methyltetrol sulfate aerosols: Mechanisms and atmospheric implications, Environ. Sci. Tech. Let., 11, 968–974,  <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.4c00451" ext-link-type="DOI">10.1021/acs.estlett.4c00451</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><mixed-citation>Yang, T., Xu, Y., Ye, Q., Ma, Y.-J., Wang, Y.-C., Yu, J.-Z., Duan, Y.-S., Li, C.-X., Xiao, H.-W., Li, Z.-Y., Zhao, Y., and Xiao, H.-Y.: Spatial and diurnal variations of aerosol organosulfates in summertime Shanghai, China: potential influence of photochemical processes and anthropogenic sulfate pollution, Atmos. Chem. Phys., 23, 13433–13450, <ext-link xlink:href="https://doi.org/10.5194/acp-23-13433-2023" ext-link-type="DOI">10.5194/acp-23-13433-2023</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</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. Tech. Let., 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.bib83"><label>83</label><mixed-citation>Yao, M., Zhao, Y., Chang, C., Wang, S., Li, Z., Li, C., Chan, A. W. H., and Xiao, H.: Multiphase reactions between organic peroxides and sulfur dioxide in internally mixed inorganic and organic particles: key roles of particle phase separation and acidity, Environ. Sci. Technol., 57, 15558–15570,  <ext-link xlink:href="https://doi.org/10.1021/acs.est.3c04975" ext-link-type="DOI">10.1021/acs.est.3c04975</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</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., 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>

  </ref-list></back>
    <!--<article-title-html>Liquid-phase reactions of aromatic organosulfates with OH radicals: kinetics, mechanisms, and environmental effects</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
       Arciva, S., Niedek, C., Mavis, C., Yoon, M., Sanchez, M. E., Zhang, Q., and Anastasio, C.:
Aqueous ⚫OH oxidation of highly substituted phenols as a source of secondary organic aerosol, Environ. Sci. Technol., 56, 9959–9967, <a href="https://doi.org/10.1021/acs.est.2c02225" target="_blank">https://doi.org/10.1021/acs.est.2c02225</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
       Arciva, S., Ma, L., Mavis, C., Guzman, C., and Anastasio, C.:
Formation and loss of light absorbance by phenolic aqueous SOA by ⚫OH and an organic triplet excited state, Atmos. Chem. Phys., 24, 4473–4485, <a href="https://doi.org/10.5194/acp-24-4473-2024" target="_blank">https://doi.org/10.5194/acp-24-4473-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
       Baltaretu, C. O., Lichtman, E. I., Hadler, A. B., and Elrod, M. J.:
Primary atmospheric oxidation mechanism for toluene, J. Phys. Chem. A, 113, 221–230,  <a href="https://doi.org/10.1021/jp806841t" target="_blank">https://doi.org/10.1021/jp806841t</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
       Bianco, A., Minella, M., Laurentiis, E. D., Maurino, V., Minero, C., and Vione, D.:
Photochemical generation of photoactive compounds with fulvic-like and humic-like fluorescence in aqueous solution, Chemosphere, 111, 529–536,  <a href="https://doi.org/10.1016/j.chemosphere.2014.04.035" target="_blank">https://doi.org/10.1016/j.chemosphere.2014.04.035</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
       Bloss, C., Wagner, V., Jenkin, M. E., Volkamer, R., Bloss, W. J., Lee, J. D., Heard, D. E., Wirtz, K., Martin-Reviejo, M., Rea, G., Wenger, J. C., and Pilling, M. J.:
Development of a detailed chemical mechanism (MCMv3.1) for the atmospheric oxidation of aromatic hydrocarbons, Atmos. Chem. Phys., 5, 641–664, <a href="https://doi.org/10.5194/acp-5-641-2005" target="_blank">https://doi.org/10.5194/acp-5-641-2005</a>, 2005. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
       Buxton, G. V., Greenstock, C. L., Helman, W. P., and Ross, A. B.:
Critical review of rate constants for reactions of hydrated electrons, hydrogen atoms and hydroxyl radicals (⚫OH∕⚫O<sup>−</sup>) in aqueous solution, J. Phys. Chem. Ref. Data, 17, 513–886, <a href="https://doi.org/10.1063/1.555805" target="_blank">https://doi.org/10.1063/1.555805</a>, 1988.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
       Cai, D., Wang, X., Chen, J., and Li, X.:
Molecular characterization of organosulfates in highly polluted atmosphere using ultra-high-resolution mass spectrometry, J. Geophys. Res.-Atmos., 125, e2019JD032253,  <a href="https://doi.org/10.1029/2019JD032253" target="_blank">https://doi.org/10.1029/2019JD032253</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
       Calvert, C. T. and Schnitzler, E. G.:
Light absorption by cinnamaldehyde constituents of biomass burning organic aerosol modeled using time-dependent density functional theory, ACS Earth Space Chem., 7, 490–500,  <a href="https://doi.org/10.1021/acsearthspacechem.2c00344" target="_blank">https://doi.org/10.1021/acsearthspacechem.2c00344</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
       Cao, T., Li, M., Xu, C., Song, J., Fan, X., Li, J., Jia, W., and Peng, P.:
Technical note: Chemical composition and source identification of fluorescent components in atmospheric water-soluble brown carbon by excitation–emission matrix spectroscopy with parallel factor analysis – potential limitations and applications, Atmos. Chem. Phys., 23, 2613–2625, <a href="https://doi.org/10.5194/acp-23-2613-2023" target="_blank">https://doi.org/10.5194/acp-23-2613-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
       Chang, J. L. and Thompson, J. E.:
Characterization of colored products formed during irradiation of aqueous solutions containing H<sub>2</sub>O<sub>2</sub> and phenolic compounds, Atmos. Environ., 44, 541–551,  <a href="https://doi.org/10.1016/j.atmosenv.2009.10.042" target="_blank">https://doi.org/10.1016/j.atmosenv.2009.10.042</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
       Chen, J. Y., Rodriguez, E., Jiang, H., Chen, K., Frie, A., Zhang, H., Bahreini, R., and Lin, Y.-H.:
Time-dependent density functional theory investigation of the UV–Vis spectra of organonitrogen chromophores in brown carbon, ACS Earth Space Chem., 4, 311–320,  <a href="https://doi.org/10.1021/acsearthspacechem.9b00328" target="_blank">https://doi.org/10.1021/acsearthspacechem.9b00328</a>, 2020a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
       Chen, Y., Zhang, Y., Lambe, A. L., 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. Tech. Let., 7, 460–468,  <a href="https://doi.org/10.1021/acs.estlett.0c00276" target="_blank">https://doi.org/10.1021/acs.estlett.0c00276</a>, 2020b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</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.bib14"><label>14</label><mixed-citation>
       Dong, P., Chen, Z., Qin, X., and Gong, Y.:
Water significantly changes the ring-cleavage process during aqueous photooxidation of toluene, Environ. Sci. Technol., 55, 16316–16325,  <a href="https://doi.org/10.1021/acs.est.1c04770" target="_blank">https://doi.org/10.1021/acs.est.1c04770</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
       Dorfman, L. M. and Adams, G. E.:
Reactivity of the hydroxyl radical in aqueous solutions, National Bureau of Standards, 76, <a href="https://doi.org/10.6028/NBS.NSRDS.46" target="_blank">https://doi.org/10.6028/NBS.NSRDS.46</a>, 1973.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
       Fleming, L. T., Lin, P., Roberts, J. M., Selimovic, V., Yokelson, R., Laskin, J., Laskin, A., and Nizkorodov, S. A.:
Molecular composition and photochemical lifetimes of brown carbon chromophores in biomass burning organic aerosol, Atmos. Chem. Phys., 20, 1105–1129, <a href="https://doi.org/10.5194/acp-20-1105-2020" target="_blank">https://doi.org/10.5194/acp-20-1105-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
       Forstner, H. J. L., Flagan, R. C., and Seinfeld, J. H.:
Secondary organic aerosol from the photooxidation of aromatic hydrocarbons: Molecular composition, Environ. Sci. Technol., 31, 1345–1358,  <a href="https://doi.org/10.1021/es9605376" target="_blank">https://doi.org/10.1021/es9605376</a>, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
       Garmash, O., Rissanen, M. P., Pullinen, I., Schmitt, S., Kausiala, O., Tillmann, R., Zhao, D., Percival, C., Bannan, T. J., Priestley, M., Hallquist, Å. M., Kleist, E., Kiendler-Scharr, A., Hallquist, M., Berndt, T., McFiggans, G., Wildt, J., Mentel, T. F., and Ehn, M.:
Multi-generation OH oxidation as a source for highly oxygenated organic molecules from aromatics, Atmos. Chem. Phys., 20, 515–537, <a href="https://doi.org/10.5194/acp-20-515-2020" target="_blank">https://doi.org/10.5194/acp-20-515-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
       Gweme, D. T. and Styler, S. A.:
OH radical oxidation of organosulfates in the atmospheric aqueous phase, J. Phys. Chem. A, 128, 9462–9475,  <a href="https://doi.org/10.1021/acs.jpca.4c02877" target="_blank">https://doi.org/10.1021/acs.jpca.4c02877</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</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.bib21"><label>21</label><mixed-citation>
       He, J., Li, L., Li, Y., Huang, M., Zhu, Y., and Deng, S.:
Synthesis, MS/MS characteristics and quantification of six aromatic organosulfates in atmospheric PM<sub>2.5</sub>, Atmos. Environ., 290, 119361,  <a href="https://doi.org/10.1016/j.atmosenv.2022.119361" target="_blank">https://doi.org/10.1016/j.atmosenv.2022.119361</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
       Hems, R. F. and Abbatt, J. P. D.:
Aqueous phase photo-oxidation of brown carbon nitrophenols: Reaction kinetics, mechanism, and evolution of light absorption, ACS Earth Space Chem., 2, 225–234,  <a href="https://doi.org/10.1021/acsearthspacechem.7b00123" target="_blank">https://doi.org/10.1021/acsearthspacechem.7b00123</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
       Herrmann, H., Tilgner, A., Barzaghi, P., Majdik, Z., Gligorovski, S., Poulain, L., and Monod, A.:
Towards a more detailed description of tropospheric aqueous phase organic chemistry: CAPRAM 3.0, Atmos. Environ., 39, 4351–4363,  <a href="https://doi.org/10.1016/j.atmosenv.2005.02.016" target="_blank">https://doi.org/10.1016/j.atmosenv.2005.02.016</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
       Herrmann, H., Hoffmann, D., Schaefer, T., Bräuer, P., and Tilgner, A.:
Tropospheric aqueous-phase free-radical chemistry: Radical sources, spectra, reaction kinetics and prediction tools, ChemPhysChem, 11, 3796–3822, <a href="https://doi.org/10.1002/cphc.201000533" target="_blank">https://doi.org/10.1002/cphc.201000533</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
       Herrmann, H., Schaefer, T., Tilgner, A., Styler, S. A., Weller,C., Teich, M., and Otto, T.:
Tropospheric aqueous-phase chemistry: Kinetics, mechanisms, and its coupling to a changing gas phase, Chem. Rev., 115, 4259–4334,  <a href="https://doi.org/10.1021/cr500447k" target="_blank">https://doi.org/10.1021/cr500447k</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</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.bib27"><label>27</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.bib28"><label>28</label><mixed-citation>
       Hu, K. S., Darer, A. I., and Elrod, M. J.:
Thermodynamics and kinetics of the hydrolysis of atmospherically relevant organonitrates and organosulfates, Atmos. Chem. Phys., 11, 8307–8320, <a href="https://doi.org/10.5194/acp-11-8307-2011" target="_blank">https://doi.org/10.5194/acp-11-8307-2011</a>, 2011. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
       Hu, W. W., Campuzano-Jost, P., Palm, B. B., Day, D. A., Ortega, A. M., Hayes, P. L., Krechmer, J. E., Chen, Q., Kuwata, M., Liu, Y. J., de Sá, S. S., McKinney, K., Martin, S. T., Hu, M., Budisulistiorini, S. H., Riva, M., Surratt, J. D., St. Clair, J. M., Isaacman-Van Wertz, G., Yee, L. D., Goldstein, A. H., Carbone, S., Brito, J., Artaxo, P., de Gouw, J. A., Koss, A., Wisthaler, A., Mikoviny, T., Karl, T., Kaser, L., Jud, W., Hansel, A., Docherty, K. S., Alexander, M. L., Robinson, N. H., Coe, H., Allan, J. D., Canagaratna, M. R., Paulot, F., and Jimenez, J. L.:
Characterization of a real-time tracer for isoprene epoxydiols-derived secondary organic aerosol (IEPOX-SOA) from aerosol mass spectrometer measurements, Atmos. Chem. Phys., 15, 11807–11833, <a href="https://doi.org/10.5194/acp-15-11807-2015" target="_blank">https://doi.org/10.5194/acp-15-11807-2015</a>, 2015. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
       Huang, L., Cochran, R. E., Coddens, E. M., and Grassian, V. H.:
Formation of organosulfur compounds through transition metal ion-catalyzed aqueous phase reactions, Environ. Sci. Tech. Let., 5, 315–321,  <a href="https://doi.org/10.1021/acs.estlett.8b00225" target="_blank">https://doi.org/10.1021/acs.estlett.8b00225</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
       Huang, L., Wang, Y., Zhao, Y., Hu, H., Yang, Y., Wang, Y., Yu, J.-Z., Chen, T., Cheng, Z., Li, C., and Xiao., H.:
Biogenic and anthropogenic contributions to atmospheric organosulfates in a typical megacity in eastern China, J. Geophys. Res.-Atmos., 128, e2023JD038848,  <a href="https://doi.org/10.1029/2023JD038848" target="_blank">https://doi.org/10.1029/2023JD038848</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
       Iinuma, Y., Müller, C., Berndt, T., Böge, 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, <a href="https://doi.org/10.1021/es070938t" target="_blank">https://doi.org/10.1021/es070938t</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
       Kuang, B. Y., Lin, P., Hu, M., and Yu, J. Z.:
Aerosol size distribution characteristics of organosulfates in the Pearl River Delta region, China, Atmos. Environ., 130, 23–35,  <a href="https://doi.org/10.1016/j.atmosenv.2015.09.024" target="_blank">https://doi.org/10.1016/j.atmosenv.2015.09.024</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</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.bib35"><label>35</label><mixed-citation>
       Kwong, K. C., Chim, M. M., Davies, J. F., Wilson, K. R., and Chan, M. N.:
Importance of sulfate radical anion formation and chemistry in heterogeneous OH oxidation of sodium methyl sulfate, the smallest organosulfate, Atmos. Chem. Phys., 18, 2809–2820, <a href="https://doi.org/10.5194/acp-18-2809-2018" target="_blank">https://doi.org/10.5194/acp-18-2809-2018</a>, 2018. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</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.bib37"><label>37</label><mixed-citation>
       Lai, D., Schaefer, T., Zhang, Y., Li, Y. J., Xing, S., Herrmann, H., and Chan, M. N.:
Deactivating effect of hydroxyl radicals reactivity by sulfate and sulfite functional groups in aqueous phase-atmospheric implications for small organosulfur compounds, ACS EST Air, 1, 678–689,  <a href="https://doi.org/10.1021/acsestair.4c00033" target="_blank">https://doi.org/10.1021/acsestair.4c00033</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
       Lai, D., Bai, Y., Zhang, Z., So, P.-K., Li, Y. J., Tse, Y.-L. S., Yeung, Y.-Y., Schaefer, T., Herrmann, H., Yu, J. Z., Wang, Y., and Chan, M. N.:
Rapid aqueous-phase oxidation of an <i>α</i>-pinene-derived organosulfate by hydroxyl radicals: a potential source of some unclassified oxygenated and small organosulfates in the atmosphere, Atmos. Chem. Phys., 25, 12569–12584, <a href="https://doi.org/10.5194/acp-25-12569-2025" target="_blank">https://doi.org/10.5194/acp-25-12569-2025</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
       Lam, H. K., Kwong, K. C., Poon, H. Y., Davies, J. F., Zhang, Z., Gold, A., Surratt, J. D., and Chan, M. N.:
Heterogeneous OH oxidation of isoprene-epoxydiol-derived organosulfates: kinetics, chemistry and formation of inorganic sulfate, Atmos. Chem. Phys., 19, 2433–2440, <a href="https://doi.org/10.5194/acp-19-2433-2019" target="_blank">https://doi.org/10.5194/acp-19-2433-2019</a>, 2019. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
       Lay, T. H., Bozzelli, J. W., and Seinfeld, J. H.:
Atmospheric photochemical oxidation of benzene: benzene + OH and the benzene–OH adduct (hydroxyl-2,4-cyclohexadienyl) + O<sub>2</sub>, J. Phys. Chem., 100, 6543–6554,  <a href="https://doi.org/10.1021/jp951726y" target="_blank">https://doi.org/10.1021/jp951726y</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
       Lei, Z., Chen, Y., Zhang, Y., Cooke, M. E., Ledsky, I. R., Armstrong, N. C., Olson, N. E., Zhang, Z., Gold, A., Surratt, J. D., and Ault, A. P.:
Initial pH governs secondary organic aerosol phase state and morphology after uptake of isoprene epoxydiols (IEPOX), Environ. Sci. Technol., 56, 10596–10607,  <a href="https://doi.org/10.1021/acs.est.2c01579" target="_blank">https://doi.org/10.1021/acs.est.2c01579</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
       Li, F., Tsona, N. T., Li, J., and Du, L.:
Aqueous-phase oxidation of syringic acid emitted from biomass burning: Formation of light-absorbing compounds, Sci. Total Environ., 765, 144239,  <a href="https://doi.org/10.1016/j.scitotenv.2020.144239" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.144239</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
       Li, S., Wang, Y., Zhang, Y., Yi, Y., Wang, Y., Guo, Y., Yu, C., Jiang, Y., Shi, J., Zhang, C., Zhu, J., Hu, W., Yu, J., Yao, X., Gao, H., and Hu, M.:
Atmospheric organosulfate formation regulated by continental outflows and marine emissions over East Asian marginal seas, Atmos. Chem. Phys., 25, 12585–12598, <a href="https://doi.org/10.5194/acp-25-12585-2025" target="_blank">https://doi.org/10.5194/acp-25-12585-2025</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
       Lin, Y.-H., Knipping, E. M., Edgerton, E. S., Shaw, S. L., and Surratt, J. D.:
Investigating the influences of SO<sub>2</sub> and NH<sub>3</sub> levels on isoprene-derived secondary organic aerosol formation using conditional sampling approaches, Atmos. Chem. Phys., 13, 8457–8470, <a href="https://doi.org/10.5194/acp-13-8457-2013" target="_blank">https://doi.org/10.5194/acp-13-8457-2013</a>, 2013. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
       Liu, F., Xu, T., Ng, N. L., and Lu, H.:
Linking cell health and reactive oxygen species from secondary organic aerosols exposure, Environ. Sci. Technol., 57, 1039–1048,  <a href="https://doi.org/10.1021/acs.est.2c05171" target="_blank">https://doi.org/10.1021/acs.est.2c05171</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
       Liu, G., Ji, J., Huang, H., Xie, R., Feng, Q., Shu, Y., Zhan, Y., Fang, R., He, M., Liu, S., Ye, X., and Leung, D. Y. C.:
UV/H<sub>2</sub>O<sub>2</sub>: An efficient aqueous advanced oxidation process for VOCs removal, Chem. Eng. J., 324, 44–50,  <a href="https://doi.org/10.1016/j.cej.2017.04.105" target="_blank">https://doi.org/10.1016/j.cej.2017.04.105</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</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.bib48"><label>48</label><mixed-citation>
       Ma, J., Reininger, N., Zhao, C, Döbler, D., Rüdiger, J., Qiu, Y., Ungeheuer, F., Simon, M., D'Angelo, L., Breuninger, A., David, J., Bai, Y., Li, Y., Xue, Y., Li, L., Wang, Y., Hildmann, S., Hoffmann, T., Liu, B., Niu, H., Wu, Z., and Vogel, A. L.:
Unveiling a large fraction of hidden organosulfates in ambient organic aerosol, Nat. Commun., 16, 4098, <a href="https://doi.org/10.1038/s41467-025-59420-y" target="_blank">https://doi.org/10.1038/s41467-025-59420-y</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</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.bib50"><label>50</label><mixed-citation>
       Mael, L. E., Jacobs, M. I., and Elrod, M. J.:
Organosulfate and nitrate formation and reactivity from epoxides derived from 2-Methyl-3-buten-2-ol, J. Phys. Chem. A, 119, 4464–4472,  <a href="https://doi.org/10.1021/jp510033s" target="_blank">https://doi.org/10.1021/jp510033s</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
       Minakata, D., Song, W., Mezyk, S. P., and Cooper, W. J.:
Experimental and theoretical studies on aqueous-phase reactivity of hydroxyl radicals with multiple carboxylated and hydroxylated benzene compounds, Phys. Chem. Chem. Phys., 17, 11796–11812,  <a href="https://doi.org/10.1039/C5CP00861A" target="_blank">https://doi.org/10.1039/C5CP00861A</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
       Minerath, E. C., Casale, M. T., and Elrod, M. J.:
Kinetics feasibility study of alcohol sulfate esterification reactions in tropospheric aerosols, Environ. Sci. Technol., 42, 4410–4415,  <a href="https://doi.org/10.1021/es8004333" target="_blank">https://doi.org/10.1021/es8004333</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
       Monod, A. and Doussin, J. F.:
Structure-activity relationship for the estimation of OH-oxidation rate constants of aliphatic organic compounds in the aqueous phase: alkanes, alcohols, organic acids and bases, Atmos. Environ., 42, 7611–7622,  <a href="https://doi.org/10.1016/j.atmosenv.2008.06.005" target="_blank">https://doi.org/10.1016/j.atmosenv.2008.06.005</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</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.bib55"><label>55</label><mixed-citation>
       Passananti, M., Kong, L., Shang, J., Dupart, Y., Perrier, S., Chen, J., Donaldson, J., and George, C.:
Organosulfate formation through the heterogeneous reaction of sulfur dioxide with unsaturated fatty acids and long-chain alkenes, Angew. Chem. Int. Edit., 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.bib56"><label>56</label><mixed-citation>
       Peng, X., Xie, T.-T., Tang, M.-X., Cheng, Y., Peng, Y., Wei, F.-H., Cao, L.-M., Yu, K., Du, K., He, L.-Y., and Huang, X.-F.:
Critical role of secondary organic aerosol in urban atmospheric visibility improvement identified by machine learning, Environ. Sci. Tech. Let., 10, 976–982,  <a href="https://doi.org/10.1021/acs.estlett.3c00084" target="_blank">https://doi.org/10.1021/acs.estlett.3c00084</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
       Pye, H. O. T., Nenes, A., Alexander, B., Ault, A. P., Barth, M. C., Clegg, S. L., Collett Jr., J. L., Fahey, K. M., Hennigan, C. J., Herrmann, H., Kanakidou, M., Kelly, J. T., Ku, I.-T., McNeill, V. F., Riemer, N., Schaefer, T., Shi, G., Tilgner, A., Walker, J. T., Wang, T., Weber, R., Xing, J., Zaveri, R. A., and Zuend, A.:
The acidity of atmospheric particles and clouds, Atmos. Chem. Phys., 20, 4809–4888, <a href="https://doi.org/10.5194/acp-20-4809-2020" target="_blank">https://doi.org/10.5194/acp-20-4809-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
       Richards-Henderson, N. K., Hansel, A. K., Valsaraj, K. T., and Anastasio, C.:
Aqueous oxidation of green leaf volatiles by hydroxyl radical as a source of SOA: Kinetics and SOA yields, Atmos. Environ., 95, 105–112,  <a href="https://doi.org/10.1016/j.atmosenv.2014.06.026" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.06.026</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</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., Oliveira, R. L., Santos, E. O., Machado, C. M. D., Szopa, S., Zhao, Y., Alves, E. G., Sá, S. S., Hu, W., Knipping, E. M., Shaw, S. L., Junior, S. D., 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.bib60"><label>60</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.bib61"><label>61</label><mixed-citation>
       Schuler, R. H. and Albarran, G.:
The rate constants for reaction of ⚫OH radicals with benzene and toluene, Radiat. Phys. Chem., 64, 189–195, <a href="https://doi.org/10.1016/S0969-806X(01)00497-2" target="_blank">https://doi.org/10.1016/S0969-806X(01)00497-2</a>, 2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</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. Tech. Let., 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.bib63"><label>63</label><mixed-citation>
       Shrivastava, M., Cappa, C. D., Fan, J., 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,  <a href="https://doi.org/10.1002/2016RG000540" target="_blank">https://doi.org/10.1002/2016RG000540</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
       Singla, R., Ashokkumar, M., and Grieser, F.:
The mechanism of the sonochemical degradation of benzoic acid in aqueous solutions, Res. Chem. Intermediat., 30, 723–733,  <a href="https://doi.org/10.1163/1568567041856963" target="_blank">https://doi.org/10.1163/1568567041856963</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
       Smith, J. D., Kinney, H., and Anastasio, C.:
Aqueous benzene-diols react with an organic triplet excited state and hydroxyl radical to form secondary organic aerosol, Phys. Chem. Chem. Phys., 17, 10227–10237,  <a href="https://doi.org/10.1039/C4CP06095D" target="_blank">https://doi.org/10.1039/C4CP06095D</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</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.bib67"><label>67</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., Flagan, R. C., and Seinfeld, J. H.:
Organosulfate formation in biogenic secondary organic aerosol, J. Phys. Chem. A, 112, 8345–8378, <a href="https://doi.org/10.1021/jp802310p" target="_blank">https://doi.org/10.1021/jp802310p</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
       Surratt, J. D., Chan, A. W. H., Eddingsaas, N. C., 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.bib69"><label>69</label><mixed-citation>
       Tang, S., Li, F., Tsona, N. T., Lu, C., Wang, X., and Du, L.:
Aqueous-phase photooxidation of vanillic acid: A potential source of Humic-Like Substances (HULIS), ACS Earth Space Chem., 4, 862–872,  <a href="https://doi.org/10.1021/acsearthspacechem.0c00070" target="_blank">https://doi.org/10.1021/acsearthspacechem.0c00070</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
       Thomas, A. E., Glicker, H. S., Guenther, A. B., Seco, R., Vega Bustillos, O., Tota, J., Souza, R. A. F., and Smith, J. N.:
Seasonal investigation of ultrafine-particle organic composition in an eastern Amazonian rainforest, Atmos. Chem. Phys., 25, 959–977, <a href="https://doi.org/10.5194/acp-25-959-2025" target="_blank">https://doi.org/10.5194/acp-25-959-2025</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</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.bib72"><label>72</label><mixed-citation>
       Tsona Tchinda, N., Lv, X., Tasheh, S. N., Ghogomu, J. N., and Du, L.:
Atmospheric fate of organosulfates through gas-phase and aqueous-phase reactions with hydroxyl radicals: implications for inorganic sulfate formation, Atmos. Chem. Phys., 25, 8575–8590, <a href="https://doi.org/10.5194/acp-25-8575-2025" target="_blank">https://doi.org/10.5194/acp-25-8575-2025</a>, 2025. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
       Wang, L., Wu, R., and Xu, C.:
Atmospheric oxidation mechanism of benzene. Fates of alkoxy radical intermediates and revised mechanism, J. Phys. Chem. A, 117, 14163–14168,  <a href="https://doi.org/10.1021/jp4101762" target="_blank">https://doi.org/10.1021/jp4101762</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
       Wang, S., Zhou, S., Tao, Y., Tsui, W. G., Ye, J., Yu, J. Z., Murphy, J. G., McNeill, V. F., Abbat, 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.bib75"><label>75</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.bib76"><label>76</label><mixed-citation>
       Wang, Y., Zhao, Y., Wang, Y., Yu, J.-Z., Shao, J., Liu, P., Zhu, W., Cheng, Z., Li, Z., Yan, N., and Xiao, H.:
Organosulfates in atmospheric aerosols in Shanghai, China: seasonal and interannual variability, origin, and formation mechanisms, Atmos. Chem. Phys., 21, 2959–2980, <a href="https://doi.org/10.5194/acp-21-2959-2021" target="_blank">https://doi.org/10.5194/acp-21-2959-2021</a>, 2021. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
       Wang, Y., Ma, Y., Kuang, B., Lin, P., Liang, Y., Huang, C., and Yu, J. Z.:
Abundance of organosulfates derived from biogenic volatile organic compounds: Seasonal and spatial contrasts at four sites in China, Sci. Total Environ., 806, 151275,  <a href="https://doi.org/10.1016/j.scitotenv.2021.151275" target="_blank">https://doi.org/10.1016/j.scitotenv.2021.151275</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
       Xu, R., Ge, Y., Kwong, K. C., Poon, H. Y., Wilson, K. R., Yu, J. Z., and Chan, M. N.:
Inorganic sulfur species formed upon heterogeneous ⚫OH oxidation of organosulfates: A case study of methyl sulfate, ACS Earth Space Chem., 4, 2041–2049, <a href="https://doi.org/10.1021/acsearthspacechem.0c00209" target="_blank">https://doi.org/10.1021/acsearthspacechem.0c00209</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
       Xu, R., Ng, S. I. M., Chow, W. S., Wong, Y. K., Wang, Y., Lai, D., Yao, Z., So, P.-K., Yu, J. Z., and Chan, M. N.:
Chemical transformation of <i>α</i>-pinene-derived organosulfate via heterogeneous OH oxidation: implications for sources and environmental fates of atmospheric organosulfates, Atmos. Chem. Phys., 22, 5685–5700, <a href="https://doi.org/10.5194/acp-22-5685-2022" target="_blank">https://doi.org/10.5194/acp-22-5685-2022</a>, 2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
       Xu, R., Chen, Y., Ng, S. I. M., Zhang, Z, Gold, A., Turpin, B. J., Ault, A. P., Surratt, J. D., and Chan, M. N.:
Formation of inorganic sulfate and volatile nonsulfated products from heterogeneous hydroxyl radical oxidation of 2-methyltetrol sulfate aerosols: Mechanisms and atmospheric implications, Environ. Sci. Tech. Let., 11, 968–974,  <a href="https://doi.org/10.1021/acs.estlett.4c00451" target="_blank">https://doi.org/10.1021/acs.estlett.4c00451</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
       Yang, T., Xu, Y., Ye, Q., Ma, Y.-J., Wang, Y.-C., Yu, J.-Z., Duan, Y.-S., Li, C.-X., Xiao, H.-W., Li, Z.-Y., Zhao, Y., and Xiao, H.-Y.:
Spatial and diurnal variations of aerosol organosulfates in summertime Shanghai, China: potential influence of photochemical processes and anthropogenic sulfate pollution, Atmos. Chem. Phys., 23, 13433–13450, <a href="https://doi.org/10.5194/acp-23-13433-2023" target="_blank">https://doi.org/10.5194/acp-23-13433-2023</a>, 2023. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</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. Tech. Let., 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.bib83"><label>83</label><mixed-citation>
       Yao, M., Zhao, Y., Chang, C., Wang, S., Li, Z., Li, C., Chan, A. W. H., and Xiao, H.:
Multiphase reactions between organic peroxides and sulfur dioxide in internally mixed inorganic and organic particles: key roles of particle phase separation and acidity, Environ. Sci. Technol., 57, 15558–15570,  <a href="https://doi.org/10.1021/acs.est.3c04975" target="_blank">https://doi.org/10.1021/acs.est.3c04975</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</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., 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>--></article>
