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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-25-425-2025</article-id><title-group><article-title>Enhanced sulfate formation in mixed biomass burning and sea-salt interactions mediated by photosensitization: effects of chloride, nitrogen-containing compounds, and atmospheric aging</article-title><alt-title>Enhanced sulfate formation in mixed BB SSA by photosensitization</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Tang</surname><given-names>Rongzhi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4517-6734</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ma</surname><given-names>Jialiang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Zhang</surname><given-names>Ruifeng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cui</surname><given-names>Weizhen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Qin</surname><given-names>Yuanyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Chu</surname><given-names>Yangxi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Qin</surname><given-names>Yiming</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Vogel</surname><given-names>Alexander L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1293-6370</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Chan</surname><given-names>Chak K.</given-names></name>
          <email>chak.chan@kaust.edu.sa</email>
        <ext-link>https://orcid.org/0000-0001-9687-8771</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Energy and Environment, City University of Hong Kong, Hong Kong SAR, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Shenzhen Research Institute, City University of Hong Kong, Shenzhen 518057, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Atmospheric and Environmental Sciences, Goethe University Frankfurt, 60438 Frankfurt am Main, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Division of Physical Science and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 100049, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>State Key Laboratory of Environmental Criteria and Risk Assessment, Chinese Research Academy of Environmental Sciences, Beijing 100012, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Chak K. Chan (chak.chan@kaust.edu.sa)</corresp></author-notes><pub-date><day>13</day><month>January</month><year>2025</year></pub-date>
      
      <volume>25</volume>
      <issue>1</issue>
      <fpage>425</fpage><lpage>439</lpage>
      <history>
        <date date-type="received"><day>21</day><month>August</month><year>2024</year></date>
           <date date-type="rev-request"><day>29</day><month>August</month><year>2024</year></date>
           <date date-type="rev-recd"><day>31</day><month>October</month><year>2024</year></date>
           <date date-type="accepted"><day>2</day><month>November</month><year>2024</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Rongzhi Tang et al.</copyright-statement>
        <copyright-year>2025</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/25/425/2025/acp-25-425-2025.html">This article is available from https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e193">Discrepancies persist between modeled simulations and measured sulfate concentrations in the marine boundary layer, especially when the marine air is influenced by biomass burning plumes. However, there has been a notable dearth of research conducted on the interactions between sea-salt aerosol and biomass burning plumes, impeding a comprehensive understanding of sulfate formation. This work studied sulfate formation by mixing real biomass burning (BB) extracts and NaCl, mimicking internal mixtures of BB and sea-salt particles. BB–NaCl particles had a significantly higher sulfate formation rate than incense burning (IS)–NaCl particles. For fresh particles, the sulfate formation rate followed the trend of corn straw (CS)–NaCl <inline-formula><mml:math id="M1" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> rice straw (RS)–NaCl <inline-formula><mml:math id="M2" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> wheat straw (WS)–NaCl <inline-formula><mml:math id="M3" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS–NaCl. The filter sample aging was achieved by exposure to OH<inline-formula><mml:math id="M4" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> generated from UV irradiation. After aging, RS–NaCl particles exhibited the highest enhancement in sulfate formation rates among all the BB–NaCl particles due to interactions between RS and NaCl. Bulk aqueous experiments spiked with NaCl using mixtures of model photosensitizers (PSs) and nitrogen-containing organic compounds (NOCs), pyrazine (CHN), and 4-nitrocatechol (CHON) revealed positive effects of chloride in the PS–CHON system and negative effects in the PS–CHN system in sulfate formation. Our work suggests that BB reaching or near coastal areas can affect sulfate formation via photosensitizer-mediated reactions, potentially exacerbating air pollution.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42107115</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Natural Science Foundation of Shandong Province</funding-source>
<award-id>ZR2021QD111</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="d2e233">Recent fire outbreaks in areas like Canada, Amazonia, and southeast Australia, together with the increased fire frequency and intensity reports in areas like the western USA have highlighted the risks of fire, especially biomass burning (BB), to human health and climate change (Bond et al., 2013; Andreae, 2019; Jones et al., 2022). As an agricultural powerhouse, China boasts immense agricultural crop yields, especially in rice, wheat, and corn, throughout the country. These crop residues are frequently burned in rural areas for cooking and heating purposes, as well as for land preparation after harvest, resulting in the substantial production of light-absorbing species, such as brown carbon (BrC)  (Chen et al., 2017). Recent studies have reported that specific BrC species from biomass burning, including vanillin (VL), acetovanillone, syringaldehyde (SyrAld), and naphthalene-derived secondary organic aerosol  (Teich et al., 2016; Li et al., 2024; Liu et al., 2020; X. Wang et al., 2021), can act as photosensitizers (PSs) and oxidize SO<sub>2</sub> to sulfate  (Zhou et al., 2023; Liang et al., 2024). Atmospheric processes like aging or long-range transport can alter the chemical compositions and optical properties of PSs and hence affect the sulfate formation potential  (You et al., 2020; Li et al., 2019). Sea-salt aerosol (SSA), with its high particulate matter loadings and extensive surface area, plays a significant role in interfacial and multiphase reactions with reactive gases, thereby impacting the global radiation balance and air quality in marine and coastal areas (Gantt and Meskhidze, 2013; Chi et al., 2015). Prior research has identified several secondary sulfate formation pathways in SSA, e.g., multiphase SO<sub>2</sub> oxidation by O<sub>3</sub> (Alexander et al., 2012), the coexistence of NO<sub>2</sub> (Zhang and Chan, 2023), PSs (Tang et al., 2023), chlorine–PS synergistic effects (Zhang and Chan, 2024), and Cl and OH radicals generated by chlorine photoactivation (Cao et al., 2024). The chlorine and chloride studies are particularly interesting as they highlight the importance of NaCl-based photochemistry in sulfate formation.</p>
      <p id="d2e272">SSA can frequently mix with organic matter through processes such as sea-to-air emission, photochemical oxidation, and atmospheric transport (H. Liu et al., 2023). Previous studies have observed elevated sulfate concentrations in coastal regions when air masses have passed through inland areas due to intensive BB or other anthropogenic emissions, suggesting the possible interactions between the SSA (primarily sodium chloride) and anthropogenic emissions  (Qiu et al., 2019; Huang et al., 2018; Wu et al., 2022). Van Pinxteren et al. (2015) observed an increase in sulfate concentration (2.26 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>) during the RV <italic>Maria S. Merian</italic> cruise as it approached the African mainland, in contrast to the marine-origin aerosol (1.59 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<sup>−3</sup>), showing significant influence of BB. Hence, mixing of sea-salt and biomass burning aerosols can lead to secondary aerosol production in coastal regions.</p>
      <p id="d2e318">Transmission electron microscopy (TEM) studies indicate that most coastal particles are internally mixed, showing a higher proportion of organic and salt mixtures in the presence of biomass burning aerosols, accompanied by an increase in sulfate (Dang et al., 2022; Li et al., 2003). However, discrepancies persist between modeled simulations and measured sulfate concentrations in the marine boundary layer (MBL; Yu et al., 2023). The interactions of sea-salt and BB aerosols, especially in multiphase reactions, can potentially unravel the intricate chemistry of sulfate formation in the BB-affected MBL. Hence, internal mixtures of inorganic salt and water-soluble organic carbons are often used in reaction studies (Tan et al., 2024).</p>
      <p id="d2e321">The two main atmospheric water systems in the MBL are wet aerosol (droplets in our case) and cloud/fog (bulk aqueous solutions); both droplet and aqueous reactions are relevant to studying multiphase sulfate formation within the MBL (Ruiz-Lopez et al., 2020; Herrmann, 2003). Typically, droplet reactions are characterized by high ionic strength (up to 10 M), low liquid water content (10<sup>−7</sup>–10<sup>−3</sup> cm<sup>3</sup> m<sup>−3</sup>), and a high surface-to-volume ratio, whereas aqueous reactions exhibit the opposite characteristics. Additionally, droplet experiments can encompass certain interfacial reaction pathways that may occur in the atmosphere, especially in submicron particles (Ruiz-Lopez et al., 2020).</p>
      <p id="d2e370">Previous studies have detected a significant proportion of nitrogen-containing organic compounds (NOCs), including nitroaromatics (CHON) and reduced-nitrogen species (CHN) in biomass burning plumes, wildfires, and ambient samples (Zhong et al., 2024; Y. Wang et al., 2017; Song et al., 2022; Cai et al., 2020). These NOCs are considered ubiquitous contributors to BrC and can affect global climate and human health. Moreover, recent research has discovered aerosol pollution in marine background regions, with high levels of NOCs when air masses are transported from wildfires or biomass burning events nearby (Zhong et al., 2024; Qin et al., 2024). These NOCs, combined with reactive gases, may mix with SSA and impact regional air quality in coastal zones. Therefore, it is essential to further investigate the interactions between NOCs, reactive gases, and SSA.</p>
      <p id="d2e373">In this study, we performed in situ droplet and bulk aqueous solution reaction experiments using BB extract–NaCl mixtures to explore the possible interplay between biomass burning and marine aerosols in coastal areas. BB was derived from the burning of rice straw (RS), wheat straw (WS), and corn straw (CS) as well as incense burning (IS). The aims of this study are to (i) compare the differences in sulfate formation among different kinds of BB–NaCl particles and BB extracts, (ii) examine the impacts of OH<inline-formula><mml:math id="M17" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> aging on sulfate formation across different BB–NaCl particles and BB extracts, and (iii) investigate the role of NOCs and chloride ions in BB-extract-mediated sulfate formation.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Burning experiments</title>
      <p id="d2e398">Three types of commonly used biomass (RS, WS, and CS) were cut into small uniform pieces (<inline-formula><mml:math id="M18" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 cm in length) and dried. About 100 g of the dried biomass materials (<inline-formula><mml:math id="M19" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 % moisture content) was then introduced into a traditional iron stove commonly used in rural areas (Fig. S1 in the Supplement). The stove was covered with a hood, and the biomass was ignited using a propane lighter. The BB smoke generated was collected onto 90 mm quartz filters at 0.9 m<sup>3</sup> min<sup>−1</sup> for 10 min by a custom-made aerosol sampler under mixed combustion conditions (include flaming and smoldering, modified combustion efficiency (MCE) 0.85 <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">CO</mml:mi></mml:mfenced><mml:mo>)</mml:mo><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula>) (Ting et al., 2018). The sampler was placed 1 m above the ground and connected to a PM<sub>2.5</sub> sampling head through a sampling pump. For incense burning (IS), laboratory-generated smoldering smoke was collected on 47 mm quartz filters at a flow rate of <inline-formula><mml:math id="M24" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.0 L min<sup>−1</sup> for 80 min using a stainless-steel combustion chamber. Note that the different combustion modes of IS and BB are intentionally used to represent real-world combustion conditions. Our previous study demonstrated that IS was representative of BB based on GC <inline-formula><mml:math id="M26" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> GC (two-dimensional gas chromatography) chromatograms and pixel-based partial least-squares discriminant analysis (Tang et al., 2023). Hereafter, we will use BB to represent both the real BB materials and the surrogate materials (IS) unless otherwise specified. After sampling, the collected BB samples (fresh BB) were wrapped by pre-baked aluminum foil (550 °C for 6 h) and stored at <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> °C until further analysis.</p>
      <p id="d2e526">To achieve atmospheric OH<inline-formula><mml:math id="M28" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> aging, the collected fresh BB filter samples were placed in a pre-flushed chamber (zero air, more than 24 h) and illuminated with UV lamps for 40 min. We used lamps of 185 and 254 nm, the combination of which has been widely used in oxidation flow reactor design and experiments for mimicking atmospheric OH<inline-formula><mml:math id="M29" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> aging conditions  (Peng and Jimenez, 2020; Rowe et al., 2020; Tkacik et al., 2014; Hu et al., 2022). The estimated OH exposure was <inline-formula><mml:math id="M30" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.0 <inline-formula><mml:math id="M31" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>12</sup> molecules cm<sup>−3</sup> s, equivalent to an atmospheric aging period of 15 d (assuming an average atmospheric OH concentration of <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<sup>−3</sup>) (Mao et al., 2009). Detailed characterization of the OH exposure can be found in our previous study (Tang et al., 2023). We will discuss the sulfate formation of these fresh and OH<inline-formula><mml:math id="M36" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> aged samples later.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Materials and instrumentation</title>
      <p id="d2e621">Aqueous stock solutions of BB samples were prepared by dissolving the collected filters in ultrapure water and subjecting them to ultrasonication in a cooled-water bath three times, each for 20 min. The resulting water extracts of the BB were then filtered through 0.22 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m PTFE filters and stored in brown vials at 4 °C in a refrigerator. The anions, i.e., the chloride, sulfate, and nitrate of the BB extracts, were analyzed by Dionex ion chromatography (ICS-1100, USA). An aliquot (<inline-formula><mml:math id="M38" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.5 mL) of the BB or IS extracts was used for water-soluble organics detection by ultra-high-performance liquid chromatography (UHPLC; Thermo Fisher Scientific, Dionex UltiMate 3000) coupled with high-resolution Orbitrap Fusion Lumos Tribrid mass spectrometry (Orbitrap HRMS, Thermo Fisher Scientific, USA). The particulate organic matter was characterized by directly heating the filter samples using a thermal desorption module (TDS 3, GERSTEL) coupled to a comprehensive two-dimensional gas chromatograph–mass spectrometer (GCMS-TQ™8050 NX, Shimadzu, Japan). UV–Vis spectrometry (UV-3600, Shimadzu, Japan) was employed to examine the absorbance of BB extracts. Total organic carbon (TOC) was measured by a total carbon analyzer (TOC-L CPH, Shimadzu, Japan). Metal concentrations were measured by inductively coupled plasma–mass spectrometry (ICP-MS, Agilent 7800). Detailed analysis can be found in Sect. S1 in the Supplement. Aqueous stock solution of sodium chloride (<inline-formula><mml:math id="M39" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 99.8 %, Unichem) was prepared by dissolving the corresponding salt in ultrapure water to obtain a concentration of 1 M. The study utilized high-purity-grade synthetic air and nitrogen supplied by Linde HKO Ltd., while sulfur dioxide was obtained from Scientific Gas Engineering Co., Ltd.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Multiphase and aqueous-phase reactions of S(IV)</title>
      <p id="d2e654">In SO<sub>2</sub> uptake experiments, the stock solution of BB (fresh and aged) extracts was premixed with sodium chloride solution (1 M) at a volume ratio of <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, and the solutions had a pH of 4–6. A droplet generator (model 201, Uni-Photon Systems, Inc.) was then utilized to deposit droplets onto a hydrophobic substrate (model 5793, YSI Inc.) for SO<sub>2</sub> uptake experiments. Reactive SO<sub>2</sub> uptake experiments were performed via a flow cell–in situ Raman system at controlled room temperature (23–25 °C). The top and bottom quartz windows of the flow cell were used for Raman analysis and UV irradiation, respectively. The light experiment was performed using a xenon lamp (model 6258, ozone-free, 300 W, Newport), with a photon flux of <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> photons cm<sup>−2</sup> s<sup>−1</sup> at 280–420 nm received by particles in the flow cell (Zhang and Chan, 2023). Identical experiments were conducted in the dark with the lights off and the experimental area kept in complete darkness. The relative humidity (RH) inside the flow cell was adjusted to 80 % by mixing dry and wet synthetic air or nitrogen. The particles were then equilibrated at 80 % RH for over 60 min and remained liquid throughout the experiment period. SO<sub>2</sub> was introduced into the system to reach a concentration of 8.0 ppm. The prescribed size used in our in situ Raman research was <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. Despite using particles for droplet experiments that were larger than ambient fine particles, we employed the SO<sub>2</sub> uptake coefficient (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula>) as a kinetic parameter to account for the particle size effects. Comprehensive calculation of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> can be found in our previous studies (Gen et al., 2019b, a; Tang et al., 2023; R. Zhang et al., 2020).</p>
      <p id="d2e805">Aqueous-phase photochemical reactions were performed using a quartz photo reactor (Go et al., 2023, 2022). Specifically, a 500 mL solution containing 100 ppm bisulfite and 1 ppm BB TOC extracts was continuously mixed using a magnetic stirrer throughout the experiments. Note that the 1 ppm BB TOC and 100 ppm bisulfite align well with the atmosphere-relevant ranges in aqueous aerosols, fog, and clouds, where PS concentration can reach hundreds of micromolar and total sulfur concentration can exceed several millimolar (Anastasio et al., 1997; Guo et al., 2012; Shen et al., 2012; Rao and Collett, 1995). To achieve air-saturated conditions, synthetic air was continuously introduced into the solutions at a flow rate 0.5 L min<sup>−1</sup> throughout the experiments. The above-described mixed solutions were then exposed to radiation via the same xenon lamp (light intensity of 1318 mW cm<sup>−2</sup>) as in the droplet experiments. Samples were collected at 1 h intervals for a total of 8 h for sulfate and bisulfite analysis using ion chromatography. Unlike droplet experiments, NaCl was not added to the bulk solution in most studies, unless specified otherwise.</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>Enhanced sulfate production in BB–NaCl droplets compared to IS–NaCl droplets</title>
      <p id="d2e848">As no sulfate was detected under dark conditions for any of the experiments, we have focused on the light experiments. Figure 1 depicts the sulfate production by (panel a) fresh BB–NaCl droplets and (panel b) aged BB–NaCl droplets as a function of time in the presence of light, air, and SO<sub>2</sub> at 80 % RH. Our previous study  (Tang et al., 2023) found significantly higher sulfate formation of IS–NaCl droplets compared to NaCl droplets. Here, we only focus on the comparison of sulfate formation between different kinds of BB–NaCl droplets and IS–NaCl droplets. Regardless of whether the extracts were fresh or aged, the sulfate production by BB–NaCl droplets was higher than IS–NaCl droplets. Specifically, sulfate formed by fresh (F) BB–NaCl droplets followed the trends of CS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula> mM (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M59" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> RS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> mM (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M63" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> mM (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M67" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS<sub>F</sub>–NaCl (0.8 mM (ppmC)<sup>−1</sup>) after illumination for 1080 min. In aged (A) samples, while BB<sub>A</sub>–NaCl is more efficient than IS<sub>A</sub>–NaCl in sulfate formation, the order of sulfate formation was different from that of the fresh samples: RS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mn mathvariant="normal">35.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> mM (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M75" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> mM (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M79" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula> mM (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M83" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS<sub>A</sub>–NaCl (0.6 mM (ppmC)<sup>−1</sup>). The sulfate enhancement factors of RS<sub>F</sub>–NaCl, WS<sub>F</sub>–NaCl, and CS<sub>F</sub>–NaCl compared to IS<sub>F</sub>–NaCl after 18 h of SO<sub>2</sub> uptake (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Sulfate</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">BB</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">NaCl</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">IS</mml:mi><mml:mi mathvariant="normal">F</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) were 11.7, 5.0, and 20.0, respectively. The enhancement of sulfate can also be observed in aged BB samples, with values of 54.3, 9.2, and 20.1 for RS<sub>A</sub>–NaCl, WS<sub>A</sub>–NaCl, and CS<sub>A</sub>–NaCl, respectively. The lower sulfate formation of IS–NaCl droplets compared to BB–NaCl droplets can be explained by the significantly higher TOC concentration of IS due to the incomplete and smoldering combustion (Table S1 in the Supplement). The TOC concentration of the IS extracts (<inline-formula><mml:math id="M95" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 550 mg L<sup>−1</sup>) was nearly an order of magnitude higher than that of the BB extracts (34.0–69.9 mg L<sup>−1</sup>), and the sum of anions per water-soluble organic carbon (WSOC) exhibited a more than 10-fold increase in BB extracts compared to IS extracts. Previous studies have confirmed that the smoldering condition of BB results in significantly more organic compounds and fewer ions than the flaming condition  (Y. Wang et al., 2020; Fushimi et al., 2017; Kalogridis et al., 2018; Kim et al., 2018). Additionally, a significantly higher polycyclic aromatic hydrocarbon (PAH) proportion (12.2 %–16.6 % by intensity) in BB compared to IS (<inline-formula><mml:math id="M98" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 5.0 %) were observed by GC <inline-formula><mml:math id="M99" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> GC–mass spectrometry (MS). G. Huang et al. (2022) reported higher PAHs in BB particles (CS, WS, and RS <inline-formula><mml:math id="M100" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 262.5 mg kg<sup>−1</sup> and <inline-formula><mml:math id="M102" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3.7 % of organic matter) than in IS particles (3.3 mg kg<sup>−1</sup>, 0.9 % of organic matter) (Song et al., 2023). Fushimi et al. (2017) and Kim et al. (2021) demonstrated that more PAHs can be emitted under flaming than smoldering conditions. PAHs like pyrene, fluoranthene, and phenanthrene have been recognized as PSs (Jiang et al., 2021; Yang et al., 2021) and are mainly from combustion processes, e.g., pyrosynthesis from aliphatic and aromatic precursors in biomass burning processes, and the constituents vary with temperatures and oxygen contents  (Pozzoli et al., 2004). The higher percentage of PAHs in BB together with the collection procedure (mixed combustion and higher temperature for real BB and smoldering and lower temperature for IS) suggested that the BB materials would generate more PAHs at high temperatures and may contribute to sulfate formation.</p>
      <p id="d2e1353">Table 1 and Fig. S2 present the reactive (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula>) and normalized reactive SO<sub>2</sub> uptake coefficients (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula>) of different BB–NaCl droplets. The <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> values obtained in our study are <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9</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">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.6</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">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which are consistent but fall on the low side of the reported heterogeneous SO<sub>2</sub> oxidation processes, including nitrate photolysis (10<sup>−6</sup>–10<sup>−5</sup>) (Gen et al., 2019b), transition metal ion (TMI)-catalyzed oxidation (10<sup>−6</sup>–10<sup>−4</sup>) (Zhang et al., 2024), <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation (10<sup>−6</sup>–10<sup>−4</sup>)  (S. Zhang et al., 2021; Zhang and Chan, 2023), and peroxide oxidation (10<sup>−6</sup>–10<sup>−1</sup>)  (S. Wang et al., 2021; Ye et al., 2018; Yao et al., 2019). Additionally, the reported <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> in our study aligns well with the results obtained from ambient samples in Beijing (Y. Zhang et al., 2020). The large discrepancy of the reported <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> values can be attributed to the differences in aerosol components, particle size, RH, SO<sub>2</sub>, and oxidant concentrations. Higher <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> values were found for fresh and aged real BB–NaCl droplets than IS–NaCl droplets, following the trends of CS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M127" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> RS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M131" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</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">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M135" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS<sub>F</sub>–NaCl (<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.61</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) and RS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M140" 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">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M142" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M146" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M148" 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">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>) <inline-formula><mml:math id="M150" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS<sub>A</sub>–NaCl (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ppmC)<sup>−1</sup>), respectively.</p>
      <p id="d2e1989">In our previous study, we observed a significant increase in sulfate formation in IS–NaCl droplets compared to NaCl droplets, which we attributed to PSs present in the IS (Tang et al., 2023). Considering the fact that BB–NaCl droplets produced sulfate more efficiently than IS–NaCl droplets and NaCl droplets, we explore the underlying mechanisms driving this phenomenon. Possible reasons include nitrate (from BB extracts or newly formed) photolysis; [Cl<sup>−</sup>–H<sub>3</sub>O<sup>+</sup>–O<sub>2</sub>] photoexcitation (Cl<sup>−</sup> from BB extracts); H<sub>2</sub>O<sub>2</sub> oxidation; black carbon (BC)-catalyzed oxidation; reactive-nitrogen-species oxidation; and organics-driven pathways, e.g., HCHO, photosensitizing components, organic peroxide, and TMI-organic complexes (Ye et al., 2023).</p>
      <p id="d2e2056">Since there was no nitrate peak in our Raman spectra in all experiments, the potential impact from nitrate photolysis was excluded. Besides, the very low Cl<sup>−</sup> concentration (0.0002–0.001 M) in the original BB extracts (compared to 1 M NaCl, Table S1) has minimized the influence of chloride photoexcitation of [Cl<sup>−</sup>–H<sub>3</sub>O<sup>+</sup>–O<sub>2</sub>] (Cl<sup>−</sup> from BB extracts) on the sulfate formation. Reactive nitrogen species, e.g., NO<sub><italic>x</italic></sub>, HONO, and NH<sub>3</sub>, were neither introduced nor detected in our system, indicating that the oxidation pathway involving reactive nitrogen species was insignificant. Additionally, the water extraction process excluded the possibility of BC-catalyzed oxidation. The absence of sulfate formation in dark conditions ruled out the involvement of direct H<sub>2</sub>O<sub>2</sub> oxidation and organic peroxide oxidation pathways. The concentrations of TMI did not exhibit a consistent relationship with the sulfate formation observed in both BB<sub>F</sub>–NaCl and BB<sub>A</sub>–NaCl droplets (Fig. S3), suggesting that the TMI-catalyzed oxidation pathway may not be responsible for the observed phenomenon. Therefore, the most probable reason for the enhancement of sulfate formation by BB–NaCl droplets over NaCl droplets would be the photosensitizing components. Given the complexity and the lack of a method to quantify PSs in BB aerosols, using the total TOC concentration as an upper limit for estimating PS concentration is considered a compromise that allows systematic comparison. The sulfate formation reported here can be considered the lower limit of photosensitizing capacity. Our goal is to compare the photosensitizing ability in different chemical systems but not to quantify their absolute values.</p>
      <p id="d2e2170">State-of-the-art mass spectrometry analysis including UHPLC–Orbitrap MS and GC <inline-formula><mml:math id="M173" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> GC–MS showed the existence of possible PSs such as PAHs (e.g., fluoranthene, pyrene, cyclopenta[<italic>cd</italic>]pyrene, 4-methylphenanthrene, benzo[<italic>a</italic>]pyrene, perylene; Table S2) and aromatic carbonyls (SyrAld, VL, 3,4-dimethoxybenzaldehyde, acetophenone, acetosyringone; Table S2). Photosensitizing components can directly or indirectly (by forming secondary oxidants in the presence of oxygen) oxidize S(IV) to S(VI). X. Wang et al. (2020) proposed a direct oxidation process of S(IV) to sulfate by excited triplet states of photosensitizers (<sup>3</sup>PS*). To explore the contribution of the direct <sup>3</sup>PS* oxidation to sulfate formation, we performed the same sets of experiments in N<sub>2</sub>-saturated condition, shown in Fig. S4. Under N<sub>2</sub>-saturated conditions, secondary oxidants such as HO<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>•</mml:mo></mml:mrow></mml:math></inline-formula> and the OH<inline-formula><mml:math id="M179" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> oxidation pathway can be ruled out due to the lack of oxygen. Chlorine radicals from droplets can also react with dissolved SO<sub>2</sub> to generate sulfite radicals, but O<sub>2</sub> is required to form sulfate. Despite initial molecular oxygen in the droplets possibly also participating in sulfate formation under N<sub>2</sub>-saturated conditions, its contributions are likely minimal. Consequently, the sulfate formed under N<sub>2</sub>-saturated conditions can be considered the upper limit of direct <sup>3</sup>PS* oxidation. The BB–NaCl droplets showed a direct <sup>3</sup>PS* oxidation contribution of only 3.6 % to 22.7 %, highlighting the predominant role of secondary oxidants  (Tang et al., 2023). For BB<sub>F</sub>–NaCl droplets, the contribution of direct <sup>3</sup>PS* followed the trend of WS<sub>F</sub>–NaCl (22.7 %) <inline-formula><mml:math id="M189" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> RS<sub>F</sub>–NaCl (15.7 %) <inline-formula><mml:math id="M191" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS<sub>F</sub>–NaCl (7.0 %), while for BB<sub>A</sub>–NaCl droplets, WS<sub>A</sub>–NaCl (10.2 %) <inline-formula><mml:math id="M195" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS<sub>A</sub>–NaCl (6.7 %) <inline-formula><mml:math id="M197" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> RS<sub>A</sub>–NaCl (3.6 %) was observed. In summary, regardless of whether fresh or aged, the secondary oxidants triggered by indirect <sup>3</sup>PS* oxidation were the main reason for sulfate formation, highlighting the importance of O<sub>2</sub> in <sup>3</sup>PS*-mediated oxidation processes.</p>

      <fig id="Ch1.F1"><label>Figure 1</label><caption><p id="d2e2442">Sulfate production under different droplet compositions as a function of time: <bold>(a)</bold> fresh BB–NaCl droplets and <bold>(b)</bold> aged BB–NaCl droplets in air at 80 % RH. RS, WS, CS, and IS represent rice straw, wheat straw, corn straw, and incense burning, respectively. The subscripts F and A represent fresh and aged, respectively.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025-f01.png"/>

        </fig>

<table-wrap id="Ch1.T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2460">Sulfate formation rate (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>)  and the reactive (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and normalized SO<sub>2</sub> uptake coefficient (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at various particle compositions at 80 % RH as well as sulfate formation rate (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) using different BB extracts and model compounds in bulk aqueous reactions. The numbers 1, 10, 100, and 200 represent the concentration of different compounds (in ppm). Additional abbreviations: Pyz, pyrazine; 4-NC, 4-nitrocatechol.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4" align="center">Droplet experiments </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Particle</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">composition</oasis:entry>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M min<sup>−1</sup> (ppmC)<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> ((ppmC)<sup>−1</sup>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>F</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.023</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.066</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS<sub>F</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.048</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.0086</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.027</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CS<sub>F</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">15.6 <inline-formula><mml:math id="M227" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.015</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.065</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IS<sub>F</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">0.83 <inline-formula><mml:math id="M231" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.011</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.034</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.61</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.012</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>A</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">33.5 <inline-formula><mml:math id="M235" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.074</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">21.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS<sub>A</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">6.2 <inline-formula><mml:math id="M239" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.92</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.027</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CS<sub>A</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">10.6 <inline-formula><mml:math id="M243" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.023</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">IS<sub>A</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.72</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.026</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.052</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.017</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col4" align="center">Bulk aqueous experiments </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Aqueous reactions</oasis:entry>
         <oasis:entry colname="col2">Concentration  (ppm)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>   (ppm min<sup>−1</sup> (ppmC)<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>   (<inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>M min<sup>−1</sup> (ppmC)<sup>−1</sup>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>F</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.31</oasis:entry>
         <oasis:entry colname="col4">3.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>F</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–100</oasis:entry>
         <oasis:entry colname="col3">0.16</oasis:entry>
         <oasis:entry colname="col4">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>F</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–200</oasis:entry>
         <oasis:entry colname="col3">0.085</oasis:entry>
         <oasis:entry colname="col4">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS<sub>F</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.19</oasis:entry>
         <oasis:entry colname="col4">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CS<sub>F</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.25</oasis:entry>
         <oasis:entry colname="col4">2.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IS<sub>F</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.19</oasis:entry>
         <oasis:entry colname="col4">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>A</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.33</oasis:entry>
         <oasis:entry colname="col4">3.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>A</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–100</oasis:entry>
         <oasis:entry colname="col3">0.37</oasis:entry>
         <oasis:entry colname="col4">3.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS<sub>A</sub>–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–200</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">6.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">WS<sub>A</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.26</oasis:entry>
         <oasis:entry colname="col4">2.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CS<sub>A</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.33</oasis:entry>
         <oasis:entry colname="col4">3.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IS<sub>A</sub></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.080</oasis:entry>
         <oasis:entry colname="col4">0.82</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NaCl</oasis:entry>
         <oasis:entry colname="col2">100</oasis:entry>
         <oasis:entry colname="col3">0.051</oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NaCl</oasis:entry>
         <oasis:entry colname="col2">200</oasis:entry>
         <oasis:entry colname="col3">0.079</oasis:entry>
         <oasis:entry colname="col4">0.81</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–Pyz</oasis:entry>
         <oasis:entry colname="col2">1–1</oasis:entry>
         <oasis:entry colname="col3">0.68</oasis:entry>
         <oasis:entry colname="col4">7.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–Pyz–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–10</oasis:entry>
         <oasis:entry colname="col3">0.67</oasis:entry>
         <oasis:entry colname="col4">6.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–Pyz–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–100</oasis:entry>
         <oasis:entry colname="col3">0.55</oasis:entry>
         <oasis:entry colname="col4">5.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–Pyz–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–200</oasis:entry>
         <oasis:entry colname="col3">0.50</oasis:entry>
         <oasis:entry colname="col4">5.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–4-NC</oasis:entry>
         <oasis:entry colname="col2">1–1</oasis:entry>
         <oasis:entry colname="col3">0.11</oasis:entry>
         <oasis:entry colname="col4">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–4-NC–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–10</oasis:entry>
         <oasis:entry colname="col3">0.13</oasis:entry>
         <oasis:entry colname="col4">1.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–4-NC–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–100</oasis:entry>
         <oasis:entry colname="col3">0.13</oasis:entry>
         <oasis:entry colname="col4">1.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–4-NC–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–200</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–10</oasis:entry>
         <oasis:entry colname="col3">0.11</oasis:entry>
         <oasis:entry colname="col4">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–100</oasis:entry>
         <oasis:entry colname="col3">0.17</oasis:entry>
         <oasis:entry colname="col4">1.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SyrAld–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–200</oasis:entry>
         <oasis:entry colname="col3">0.17</oasis:entry>
         <oasis:entry colname="col4">1.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.26</oasis:entry>
         <oasis:entry colname="col4">2.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–Pyz</oasis:entry>
         <oasis:entry colname="col2">1–1</oasis:entry>
         <oasis:entry colname="col3">0.61</oasis:entry>
         <oasis:entry colname="col4">6.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–Pyz–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–10</oasis:entry>
         <oasis:entry colname="col3">0.55</oasis:entry>
         <oasis:entry colname="col4">5.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–Pyz–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–100</oasis:entry>
         <oasis:entry colname="col3">0.43</oasis:entry>
         <oasis:entry colname="col4">4.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–Pyz–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–200</oasis:entry>
         <oasis:entry colname="col3">0.42</oasis:entry>
         <oasis:entry colname="col4">4.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–4-NC</oasis:entry>
         <oasis:entry colname="col2">1–1</oasis:entry>
         <oasis:entry colname="col3">0.17</oasis:entry>
         <oasis:entry colname="col4">1.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–4-NC–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–10</oasis:entry>
         <oasis:entry colname="col3">0.22</oasis:entry>
         <oasis:entry colname="col4">2.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–4-NC–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–100</oasis:entry>
         <oasis:entry colname="col3">0.27</oasis:entry>
         <oasis:entry colname="col4">2.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–4-NC–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–1–200</oasis:entry>
         <oasis:entry colname="col3">0.23</oasis:entry>
         <oasis:entry colname="col4">2.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–10</oasis:entry>
         <oasis:entry colname="col3">0.25</oasis:entry>
         <oasis:entry colname="col4">2.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–100</oasis:entry>
         <oasis:entry colname="col3">0.26</oasis:entry>
         <oasis:entry colname="col4">2.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">VL–NaCl</oasis:entry>
         <oasis:entry colname="col2">1–200</oasis:entry>
         <oasis:entry colname="col3">0.28</oasis:entry>
         <oasis:entry colname="col4">2.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e2549"><sup>∗</sup> The <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> was calculated by normalizing the <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> with the TOC concentration in the BB extracts; i.e., <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">TOC</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Aging effects on sulfate formation across various BB materials</title>
      <p id="d2e4219">To investigate the aging effects on sulfate formation across various BB materials, we subjected the collected BB filters to OH radical aging by irradiating them with UV lights at wavelengths of 185 and 254 nm. This combination effectively generated OH radicals  (Tang et al., 2023). Figure S5 exhibits the differences in sulfate formation rates in droplets of different fresh and aged BB materials. RS and WS show sulfate formation enhancement, while CS and IS show reduction after aging. Figure 2a shows that the 18 h sulfate enhancement factor (Sulfate<sub>A</sub> <inline-formula><mml:math id="M270" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Sulfate<sub>F</sub>) followed the trend of RS–NaCl (3.6) <inline-formula><mml:math id="M272" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS–NaCl (1.4) <inline-formula><mml:math id="M273" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS–NaCl (0.8) <inline-formula><mml:math id="M274" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> IS–NaCl (0.8), which is not consistent with the trends of sulfate formation for BB<sub>F</sub>–NaCl or BB<sub>A</sub>–NaCl, indicating the varying effects of the aging of BB materials. A similar trend was found for <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula>, showing the highest and lowest sulfate enhancement for RS–NaCl (3.5) and IS–NaCl (0.7), respectively.</p>

      <fig id="Ch1.F2"><label>Figure 2</label><caption><p id="d2e4306">Enhancement factor of <bold>(a)</bold> sulfate and <bold>(b)</bold> normalized SO<sub>2</sub> uptake coefficient <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> between fresh and aged BB–NaCl droplets.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025-f02.png"/>

        </fig>

      <p id="d2e4348">Bulk aqueous reactions using fresh/aged BB extracts without NaCl were performed to investigate the aging effects on the sulfate formation in the cloud phase (Fig. S6). As the experiment proceeded, sulfate concentrations accumulated while bisulfite concentrations decreased. Concurrently, the pH of the aqueous solution decreased from approximately 5.0 to 3.0, reflecting enhanced acidity. Bulk reactions have lower sulfate formation rates than droplets reactions, which may be attributed to the accelerated reactions induced by PSs at the air–water interface  (W. Wang et al., 2024; Martins-Costa et al., 2022), as well as the differences in concentrations of S(IV) and NaCl between bulk and droplet surfaces. However, given that interfacial reactions are closely linked to particle size (Wei et al., 2020; Chen et al., 2022b), additional research is needed to better understand their influence. Our experiments involve large droplets of the size of 60 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The interfacial effects of such large droplets may not be evident. Future work to examine the interfacial effects of submicron- and nanometer-sized particles is needed.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Chemical characterization of BB extracts and sulfate formation in bulk aqueous solutions</title>
      <p id="d2e4367">In bulk experiments, all BB extracts have higher <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values after aging. The increased sulfate formation of BB extracts after aging may be due to changes in their chemical compositions. Compared to RS<sub>F</sub> (28.3 % for CHON<inline-formula><mml:math id="M283" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> and 67.3 % for CHN<inline-formula><mml:math id="M284" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> in total intensity), RS<sub>A</sub> has higher CHON<inline-formula><mml:math id="M286" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> (36.1 %) and CHN<inline-formula><mml:math id="M287" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (88.3 %) percentages (Figs. S7–S8). Zhao et al. (2022) observed a slight increase in the CHON percentage for RS from 53.4 % to 56.2 % after aging. A similar trend was observed for CS extracts, where the CHON<inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> and CHN<inline-formula><mml:math id="M289" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> percentage increases from 26.7 % and 65.2 % to 31.5 % and 68.8 %, respectively, after aging. To semi-qualitatively distinguish BrC chromophores from the rest of dissolved organic carbon, we used the double-bond equivalent (DBE) value in the range of 0.5C <inline-formula><mml:math id="M290" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> DBE <inline-formula><mml:math id="M291" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.9<inline-formula><mml:math id="M292" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> as a criterion (Lin et al., 2018). For example, RS<sub>A−BrC</sub> denotes the BrC chromophores in RS<sub>A</sub> according to the above. Larger intensity fractions of CHON<inline-formula><mml:math id="M295" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> species were found in RS<sub>A−BrC</sub> (41.9 %) and CS<sub>A−BrC</sub> (35.5 %) than RS<sub>F−BrC</sub> (32.3 %) and CS<sub>F−BrC</sub> (34.7 %). One of the key categories of CHON<inline-formula><mml:math id="M300" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> is nitrated aromatics, which have been widely identified in lab-generated BB smoke  (R.-J. Huang et al., 2022; X. Wang et al., 2017; Zhang et al., 2022; Xie et al., 2019) and field campaigns  (Salvador et al., 2021; Mohr et al., 2013; Chen et al., 2022a). A series of CHON<inline-formula><mml:math id="M301" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> species, e.g., C<sub>6</sub>H<sub>5</sub>NO<sub>3</sub>, C<sub>6</sub>H<sub>5</sub>NO<sub>4</sub>, C<sub>7</sub>H<sub>7</sub>NO<sub>3</sub>, and C<sub>8</sub>H<sub>9</sub>NO<sub>3</sub>, which were tentatively identified as nitrophenol, nitrocatechol, methyl-nitrophenol, and dimethyl-nitrophenol, have been detected in our BB extracts. Nitrophenol photolysis has been found to be a potential source of OH radicals (Sangwan and Zhu, 2018; Guo and Li, 2023; Cheng et al., 2009; Sangwan and Zhu, 2016), and it may partially contribute to the increase in sulfate formation by RS<sub>A</sub> and CS<sub>A</sub>.</p>
      <p id="d2e4705">Approximately 80 % of the CHN<inline-formula><mml:math id="M316" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> species identified exhibited a diatomic nitrogen composition in their molecular formula. The precise determination of the molecular structures of these compounds solely based on elemental composition is challenging due to the presence of stable isomers. However, the N bases, which contain two nitrogen atoms, can be attributed to various N-heterocyclic alkaloids (Fig. S9). For example, homologs of C<sub>5</sub>H<sub>6</sub>N<sub>2</sub>(CH<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were likely pyrazine, pyrimidine, or aminopyridine, which are composed of six-membered heterocyclic rings with N atoms and alkyl side chains (Lin et al., 2012; Laskin et al., 2009). C<sub>5</sub>H<sub>8</sub>N<sub>2</sub>(CH<inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were likely alkyl-substituted imidazole compounds, featuring a five-membered heterocyclic ring with two nitrogen atoms as the core structure and alkyl side chains  (Lin et al., 2012; Laskin et al., 2009). For C<sub>7</sub>H<sub>6</sub>N<sub>2</sub>(CH<inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> homologs, the core skeleton was C<sub>7</sub>H<sub>6</sub>N<sub>2</sub>, with an AI<sub>mod</sub> of 0.8, indicating its distinctive characteristics of compounds containing fused five-membered and six-membered rings, such as benzimidazole or indazole (Y. Wang et al., 2017). Redox-inactive heterocyclic nitrogen-containing bases, e.g., pyridine, imidazole, and their derivatives, have been shown to enhance the redox activity of the humic-like substance (HULIS) fraction by hydrogen-atom transfer, with the degree of enhancement directly correlated to their concentrations (Dou et al., 2015; Kipp et al., 2004). Thus, the increased CHN<inline-formula><mml:math id="M333" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> percentage may also contribute to the enhanced sulfate formation of RS<sub>A</sub> and CS<sub>A</sub> by acting as an H-bond acceptor to facilitate the <sup>3</sup>PS*-mediated oxidation by generating more oxidants.</p>
      <p id="d2e4914">However, the CHON<inline-formula><mml:math id="M337" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> and CHN<inline-formula><mml:math id="M338" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> percentages in WS<sub>A</sub> were lower than in WS<sub>F</sub>, indicating that the sulfate enhancement in WS<sub>A</sub> was not due to the CHON and CHN species. Instead, CHO<inline-formula><mml:math id="M342" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> accounted for a higher proportion in WS<sub>A</sub> (68.5 %) and WS<sub>A−BrC</sub> (68.9 %) than in WS<sub>F</sub> (65.0 %) and WS<sub>F−BrC</sub> (64.8 %). This aligns with a prior aerosol mass spectrometer (AMS) study showing increased CHO proportions in aged wheat burning emissions (Fang et al., 2017). We suppose that CHO<inline-formula><mml:math id="M347" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> compounds, particularly photosensitizing compounds with carbonyl groups, would explain the difference in sulfate formation in WS extracts (Gómez Alvarez et al., 2012; Go et al., 2023; Felber et al., 2020; Fu et al., 2015). Therefore, we filtered the chemical formula of CHO<inline-formula><mml:math id="M348" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> species from UHPLC–Orbitrap HRMS by applying the maximum carbonyl ratio (MCR) (Y. Zhang et al., 2021; K. Wang et al., 2024; Calderon-Arrieta et al., 2024; D. Liu et al., 2023), <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> as well as the modified aromaticity index (AI<sub>mod</sub>) to focus on potential PSs  (Zherebker et al., 2022; Koch and Dittmar, 2006). In short, molecular formulae were classified into six groups, namely, condensed aromatics (AI<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">mod</mml:mi></mml:msub><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.67</mml:mn></mml:mrow></mml:math></inline-formula>), polyphenolic compounds (0.50 <inline-formula><mml:math id="M353" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> AI<sub>mod</sub> <inline-formula><mml:math id="M355" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.67), highly unsaturated and phenolic compounds (AI<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">mod</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M358" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1.5), aliphatics (<inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M360" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 1.5, <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M362" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.9, <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), peptide-like compounds (<inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 1.5, <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M367" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 0.9, <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), and sugar-like compounds (<inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">H</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M370" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 1.5, <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M372" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.9); details can be found in Sect. S1. As aliphatics, peptide-like compounds, and sugar-like compounds are unlikely to be PSs, we exclude them as potential PSs. By applying further data filtration involving CHO<inline-formula><mml:math id="M373" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>, condensed aromatics, polyphenolic compounds, and highly unsaturated and phenolic compounds based on the aforementioned criteria, as well as MCR <inline-formula><mml:math id="M374" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 0.9 (which includes oxidized unsaturated and highly unsaturated compounds such as PS-like imidazole-2-carboxaldehyde (2-IC) and PAHs) (Y. Zhang et al., 2021), 52.6 % and 49.7 % of the compounds (by intensity) can be considered potential PSs in WS<sub>A</sub> and WS<sub>F</sub>, respectively. The main compositional difference lies in polyphenolic compounds, comprising 26.3 % and 21.8 % of WS<sub>A</sub> and WS<sub>F</sub>, respectively. Therefore, the higher sulfate formation in WS<sub>A</sub> may be related to the higher contributions of the polyphenolic compounds, e.g., C<sub>8</sub>H<sub>8</sub>O<sub>3</sub>.</p>
      <p id="d2e5359">To summarize, we propose that in aqueous reactions, the enhanced sulfate formation in CS<sub>A</sub> and RS<sub>A</sub> was likely due to the increased proportions (by intensity) of CHON and CHN species, potentially nitrophenols and N-heterocyclic compounds. Conversely, the increased sulfate formation in WS<sub>A</sub> appears to be linked to a higher percentage of CHO species. However, an association between detailed chemical characteristics and sulfate formation is not able to be discerned in this study due to the complexity of the interactions between different chemical categories and difficulties in the interpretation of the coefficients. Future studies are needed to elucidate the relationships between sulfate formation and the chemical characteristics.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Effects of chloride and nitrogen-containing species on sulfate formation</title>
      <p id="d2e5397">Unlike the droplet experiments where RS–NaCl has the highest sulfate enhancement factor after aging, aqueous reaction results (without NaCl) show a sulfate enhancement trend of WS <inline-formula><mml:math id="M386" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS <inline-formula><mml:math id="M387" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> RS <inline-formula><mml:math id="M388" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS, suggesting that chloride may have an effect in the droplet experiments, especially in the RS–NaCl system. To evaluate the effects of chloride on sulfate formation, we conducted bulk reaction experiments using RS extracts as an example with 100–200 ppm NaCl additions, where the NaCl-to-TOC ratio ranged from <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to match the range of <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> in droplet experiments. Interestingly, incorporating NaCl yielded contrasting results for RS<sub>F</sub> and RS<sub>A</sub> (Fig. 3). While the addition of NaCl enhanced sulfate formation in RS<sub>A</sub>, it showed the opposite trend in RS<sub>F</sub>. The nature of the cations and ionic strength may affect the sulfate formation rate; however, previous studies have indicated that their effects are negligible (Zhang and Chan, 2024; Parker and Mitch, 2016). The opposite effect of the NaCl addition on RS<sub>F</sub> and RS<sub>A</sub>, to some extent, explains the significantly higher sulfate and SO<sub>2</sub> uptake coefficient enhancement factor for RS–NaCl in Fig. 2. Compared to the RS-based system, the NaCl control experiment showed minimum (but non-zero) sulfate formation (Table 1 and Fig. 3). On one hand, it supported the findings that chloride participated in the sulfate formation under light conditions but no sulfate formation under dark conditions  (Cao et al., 2024; Tang et al., 2023; Zhang and Chan, 2024). On the other hand, the opposite trend of Cl<sup>−</sup> effects on RS<sub>F</sub> and RS<sub>A</sub> reflects its complex interactions with BB extracts under light and air conditions. While direct reaction between S(IV) species and <sup>3</sup>PS* may occur (X. Wang et al., 2020), other pathways, i.e., interactions among halide ions, PSs, and oxygen, should also be considered. Detailed mechanisms will be discussed later.</p>
      <p id="d2e5571">Statistical analysis using the Spearman correlation coefficients, as guided by the Shapiro–Wilk test (Table S4), revealed that the CHO, CHON, and CHN species exhibited significant correlations (<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>R</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M405" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.7) with the sulfate formation rate (<inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. S10). While PSs can be the main CHO species contributing to sulfate formation, N-containing organic compounds (NOCs), i.e., CHN and CHON species, may affect the chloride contribution to the sulfate formation rate. Therefore, we selected SyrAld and VL as model CHO species (PSs), pyrazine (Pyz) as a model CHN, and 4-nitrocatechol (4-NC) as a model CHON to elucidate how the N-containing species can alter the effects of chloride on sulfate formation rate by studying the CHO <inline-formula><mml:math id="M407" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Cl<sup>−</sup>, CHO <inline-formula><mml:math id="M409" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CHN <inline-formula><mml:math id="M410" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Cl<sup>−</sup>, and CHO <inline-formula><mml:math id="M412" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CHON <inline-formula><mml:math id="M413" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Cl<sup>−</sup> systems. For SyrAld and VL, as the <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">PS</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increases, <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> initially decreases and then increases. The initial decrease in <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> may be attributed to the quenching of <sup>3</sup>PS* by electron transfer from Cl<sup>−</sup> or the loss of OH radials by forming ClOH<sup>•−</sup> through the reaction of OH<inline-formula><mml:math id="M421" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M422" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Cl<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>↔</mml:mo></mml:mrow></mml:math></inline-formula> ClOH<sup>•−</sup> (Anastasio and Newberg, 2007). Excessive chloride (e.g., 100 and 200 ppm) may generate Cl and OH radicals through photoexcitation in the presence of air and water and compensate for the loss of <sup>3</sup>PS* or OH radicals. Previous studies have shown a contradictory influence of halides on the photosensitized oxidation of organic compounds or bisulfite. Parker and Mitch (2016) and Zhang et al. (2023) attributed the significantly higher photodegradation of dienes, thioethers, and acetaminophen to the formation of reactive halogen species generated by the reactions of PSs and halides. Zhang and Chan (2024) reported that <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">PS</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the range of <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> did not lead to significant differences in sulfate formation. The differences between the current results and the aforementioned study might be attributed to the higher <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">PS</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio used in this study (up to <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), which may have been sufficient to initiate the relevant reactions, as well as the difference in photosensitizing capacities of the PSs studied (triplet quantum yield of 0.86 <inline-formula><mml:math id="M431" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 for 2-IC and 0.21 <inline-formula><mml:math id="M432" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 for VL) (Felber et al., 2021, 2020). Safiarian et al. (2023) reported that increasing chloride concentrations facilitated anthracene photosensitization by producing high-level reactive oxygen species (ROS). N. Wang et al. (2023) found that the effects of chloride on sulfate formation depended on the specific PS: enhancing sulfate production for benzophenone (BP) and 3,4-dimethoxybenzaldehyde (DMB) but decreasing it for 1,4-naphthoquinone.</p>
      <p id="d2e5914">Incorporating CHN species yielded a 2- to 3-fold increase in <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> due to the enhanced H transfer by CHN acting as an H-bond acceptor (Dou et al., 2015). With the addition of NaCl, the enhanced H-transfer effect by CHN was inhibited, possibly due to the consumption of <sup>3</sup>PS* by Cl<sup>−</sup>. On the other hand, the addition of model CHON species into PSs decreased <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> due to the consumption of <sup>3</sup>PS* by CHON species, in agreement with Y. Wang et al. (2023), who reported an increased effective quantum yield of 4-NC under co-photolysis with VL. Further addition of NaCl increased the <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, possibly due to the consumption of 4-NC by reactive chlorine species (RCS; T. Wang et al., 2024), which, to some extent, reduced the loss of <sup>3</sup>PS*. Generally, the addition of chloride increased <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values of PS–CHON but decreased <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msubsup><mml:mrow class="chem"><mml:mi mathvariant="normal">SO</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values of PS–CHN. However, the ambient air is characterized by the presence of tens of thousands of chemical compounds. As a result, the interplay among this diverse array of species may occur in ways that exceed current understanding, necessitating additional research to investigate the interactions between different organic compounds more thoroughly.</p>

      <fig id="Ch1.F3"><label>Figure 3</label><caption><p id="d2e6062"><bold>(a)</bold> The sulfate formation rate and <bold>(b, c)</bold> bisulfite decay in RS–NaCl aqueous reactions. The terms “1-0”, “1-100”, and “1-200” refer to the concentration ratios of TOC<sub>RS</sub> and NaCl, in which 1, 100, and 200 represent 1, 100, and 200 ppm, respectively.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Proposed mechanism for sulfate formation</title>
      <p id="d2e6094">A conceptual diagram of PS- and chloride-mediated ROS and RCS production in the oxidation of S(IV) to S(VI) is shown in Fig. 4. Initially, the PSs (e.g., SyrAld and VL) absorb solar radiation and produce the singlet state <sup>1</sup>PS*, which then undergoes a spin conversion through intersystem crossing, leading to the formation of the triplet state <sup>3</sup>PS*. The <sup>3</sup>PS* can react with molecular oxygen through energy transfer and generate singlet state <sup>1</sup>O<sub>2</sub>*, while the <sup>3</sup>PS* returns to ground state. The <sup>1</sup>O<sub>2</sub>* can then transform to O<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> via electron transfer. The <sup>3</sup>PS* can also react with an H donor (RH, e.g., organic acids, syringol, guaiacol; Table S3), leading to the formation of the alkyl or phenoxy radical (R<inline-formula><mml:math id="M453" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula>) and the ketyl radical (PSH<inline-formula><mml:math id="M454" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula>). R<inline-formula><mml:math id="M455" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> can react with O<sub>2</sub> and form RO<sub>2</sub> radicals, while PSH<inline-formula><mml:math id="M458" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> can transfer an H atom to O<sub>2</sub> and form HO<inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>•</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, returning to its ground state PS. Additionally, <sup>3</sup>PS* can react with an electron donor, e.g., Cl<sup>−</sup>, and form chlorine radicals and PS<sup>•−</sup>. The PS<sup>•−</sup> formed then reacts with O<sub>2</sub> and forms O<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, which undergoes a series of reactions and forms HO<inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>•</mml:mo></mml:mrow></mml:math></inline-formula>, H<sub>2</sub>O<sub>2</sub>, and OH<inline-formula><mml:math id="M470" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula>. RO<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>•</mml:mo></mml:mrow></mml:math></inline-formula> can further react with RO<inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>•</mml:mo></mml:mrow></mml:math></inline-formula> or HO<inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>•</mml:mo></mml:mrow></mml:math></inline-formula>  and form organic peroxides (ROOR/ROOH). The abovementioned reactions are the main processes in the ROS pathway. Recently, Zhang and Chan (2024) proposed that the reactive chlorine species (RCS) would contribute to sulfate formation. Cao et al. (2024) proposed a mechanism of OH and Cl radicals formation by [Cl<sup>−</sup>–H<sub>3</sub>O<sup>+</sup>–O<sub>2</sub>] under light irradiation through an electron transfer process. Our results also demonstrate that the addition of Cl<sup>−</sup> will affect the oxidation process of S(VI) (Figs. 3, S11–S13). Combining the above, the RCS pathway is shown in orange arrows in Fig. 4. The Cl<inline-formula><mml:math id="M479" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> can be formed in two pathways, photoexcitation of the [Cl<sup>−</sup>–H<sub>3</sub>O<sup>+</sup>–O<sub>2</sub>] complex that generates Cl radicals in deliquescent BB–NaCl droplets or aqueous BB–NaCl solution (Cao et al., 2024) and <sup>3</sup>PS*-mediated Cl<inline-formula><mml:math id="M485" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> formation via electron transfer by Cl<sup>−</sup>  (Corral Arroyo et al., 2019). The Cl<inline-formula><mml:math id="M487" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> radicals formed can then react with each other through radical–radical reactions and produce molecular Cl<sub>2</sub>. The Cl<sup>•−</sup> can also react with Cl<sup>−</sup> or Cl<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, forming Cl<inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> or Cl<sub>2</sub>. Cl<inline-formula><mml:math id="M494" display="inline"><mml:mo>•</mml:mo></mml:math></inline-formula> and Cl<inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> can also react with OH and form HOCl. The <sup>3</sup>PS* itself can also oxidize the S(IV) (e.g., dissolved SO<sub>2</sub> or bisulfite) to S(VI). However, significantly lower sulfate formation was found in the presence of N<sub>2</sub> than air (Fig. S4), highlighting the importance of secondary oxidants compared to direct <sup>3</sup>PS* oxidation. As a consequence, these reactive species, e.g., OH<sup>•</sup> <inline-formula><mml:math id="M501" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> HO<inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>•</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M503" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> RO<inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>•</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M505" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M507" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ROOH <inline-formula><mml:math id="M508" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ROOR and Cl<sup>•</sup> <inline-formula><mml:math id="M510" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Cl<inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mo>•</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, may all participate in the oxidation of S(IV) to S(VI). In addition, nitrogen-containing heterocyclic compounds such as pyrazine can act as H-bond acceptors and facilitate the H transfer, which then generates more ROS  (Dou et al., 2015). Note that although ROS and RCS pathways both contribute to the oxidation from S(IV) to S(VI), they may act in competitive relationships due to the co-consumption of <sup>3</sup>PS*. Therefore, different Cl effects may occur regarding various combinations of reactants (Fig. 3, promoting effect on RS<sub>A</sub> and inhibiting effects on RS<sub>F</sub>).</p>

      <fig id="Ch1.F4"><label>Figure 4</label><caption><p id="d2e6801">Conceptual diagram of PS- and chloride-mediated ROS and RCS production in the oxidation processes from S(IV) to S(VI).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/425/2025/acp-25-425-2025-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Atmospheric implications</title>
      <p id="d2e6819">This study provided laboratory evidence that the PSs in biomass burning extracts can enhance the sulfate formation in NaCl particles, primarily by triggering the formation of secondary oxidants under light and air conditions, with a lower contribution of direct photosensitization via triplets (evidenced by N<sub>2</sub> atmosphere, Fig. S4). The sulfate formation rates of BB<sub>F</sub>–NaCl particles were <inline-formula><mml:math id="M517" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10-fold higher than those of IS<sub>F</sub>–NaCl, following the trend of CS<sub>F</sub>–NaCl <inline-formula><mml:math id="M520" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> RS<sub>F</sub>–NaCl <inline-formula><mml:math id="M522" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS<sub>F</sub>–NaCl <inline-formula><mml:math id="M524" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS<sub>F</sub>–NaCl. Upon UV exposure, the sulfate formation trend shifted to RS<sub>A</sub>–NaCl <inline-formula><mml:math id="M527" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> CS<sub>A</sub>–NaCl <inline-formula><mml:math id="M529" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> WS<sub>A</sub>–NaCl <inline-formula><mml:math id="M531" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> IS<sub>A</sub>–NaCl, which might be explained by the effects of chloride (evidenced by aqueous reactions, Fig. 3 and Table 1). Interestingly, the incorporation of Cl<sup>−</sup> into bulk solutions increased the sulfate formation rate in RS<sub>A</sub>, while it decreased it in RS<sub>F</sub>. This seems to be different from our group's previous work, where no significant sulfate formation rate was found with the addition of Cl<sup>−</sup> (Zhang and Chan, 2024). The difference can be explained by the following. <list list-type="order"><list-item>
      <p id="d2e7011"><italic>Differences in</italic> <inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">PS</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. The prior study might have used an insufficient <inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">PS</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>), while the current one significantly expanded it to <inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e7083"><italic>Differences in photosensitizing capacity.</italic> The former study used a strong PS, while the current study focused on the real BB (using TOC as a metric, with only a small portion of TOC considered PSs).</p></list-item><list-item>
      <p id="d2e7089"><italic>The complexity of the reaction system.</italic> The former study focused on mixing two individual species, while in real BB extracts, more complicated reactions may occur.</p></list-item></list> Furthermore, our results using model PSs show that although additional model CHN species would increase the sulfate formation by expedited H transfer via acting as H-bond acceptors, the addition of chloride could inhibit the sulfate formation rate, suggesting that the RCS pathway was less efficient in sulfate formation compared to the ROS pathway in the PS–CHN bulk system (Figs. S11 and S12).</p>
      <p id="d2e7095">While our prior study has examined the potential interplay between chloride and PSs at limited mixing ratios (up to <inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> in bulk solution) (Zhang and Chan, 2024), this work expanded the <inline-formula><mml:math id="M543" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">PS</mml:mi></mml:mrow></mml:math></inline-formula> ratio to a broader range (<inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) and systematically identified the interactions among different organics, including PSs, NOCs, and chloride, using sulfate formation as a compass. This highlights the importance of studying secondary aerosol formation in mixed experimental systems under an air pollution complex. Our work suggests that in coastal regions heavily influenced by anthropogenic emissions like biomass burning, especially those near rice-growing regions or affected by transported wildfire smoke, such as Guangdong, Fujian, and Taiwan, the transported BB plumes together with the high RH (Cheung et al., 2015) and abundant reactive gases could play an important role in sulfate and potentially secondary organic aerosol formation.</p>
</sec>

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

      <p id="d2e7142">Datasets are available upon request to the corresponding author, Chak K. Chan (chak.chan@kaust.edu.sa).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e7145">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-25-425-2025-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-25-425-2025-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7154">RT and CKC conceptualized and designed the study. YQ and YC collected the samples. RT performed the experiments and data analysis and wrote the draft. JM provided assistance in data processing. All the authors reviewed and edited the paper and contributed to scientific discussions.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7160">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="d2e7166">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. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e7172">The authors thank the University Research Facility in Chemical and Environmental Analysis (UCEA) at The Hong Kong Polytechnic University for the use of its UHPLC–Orbitrap mass spectrometer and Sirius Tse and  Chi Hang Chow for assistance with sample analyses.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7177">This research has been supported by the Hong Kong Research Grants Council (grant no. 11314222); National Natural Science Foundation of China (grant no. 42107115);  and Natural Science Foundation of Shandong Province, China (grant no. ZR2021QD111). Chak K. Chan was also supported by the KAUST baseline research fund (grant no. BAS/1/1432-01-01) and KAUST Center of  Excellence for Smart Health (KCSH) fund (grant no. 5932).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7183">This paper was edited by Sergey A. Nizkorodov and reviewed by Xinke Wang and two anonymous referees.</p>
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