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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-21-1341-2021</article-id><title-group><article-title>Measurement report: Effects of photochemical aging on the formation and evolution of summertime secondary aerosol in Beijing</article-title><alt-title>Effects of photochemical aging on secondary aerosol</alt-title>
      </title-group><?xmltex \runningtitle{Effects of photochemical aging on secondary aerosol}?><?xmltex \runningauthor{T.~Chen~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Tianzeng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8123-0534</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Liu</surname><given-names>Jun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Ma</surname><given-names>Qingxin</given-names></name>
          <email>qxma@rcees.ac.cn</email>
        <ext-link>https://orcid.org/0000-0002-9668-7008</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Chu</surname><given-names>Biwu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7548-5669</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Peng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Ma</surname><given-names>Jinzhu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Liu</surname><given-names>Yongchun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6758-2151</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Zhong</surname><given-names>Cheng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liu</surname><given-names>Pengfei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Wang</surname><given-names>Yafei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Mu</surname><given-names>Yujing</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7048-2856</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>He</surname><given-names>Hong</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8476-8217</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>State Key Joint Laboratory of Environment Simulation and Pollution Control, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Center for Excellence in Regional Atmospheric Environment, Institute of Urban Environment, Chinese Academy of Sciences, Xiamen 361021, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>University of Chinese Academy of Sciences, Beijing 100049, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Beijing Advanced Innovation Center for Soft Matter Science and Engineering, Beijing University of Chemical Technology, Beijing 100029, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Beijing Institute of Petrochemical Technology, Beijing 102617, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Qingxin Ma (qxma@rcees.ac.cn)</corresp></author-notes><pub-date><day>1</day><month>February</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>2</issue>
      <fpage>1341</fpage><lpage>1356</lpage>
      <history>
        <date date-type="received"><day>29</day><month>July</month><year>2020</year></date>
           <date date-type="accepted"><day>23</day><month>December</month><year>2020</year></date>
           <date date-type="rev-recd"><day>30</day><month>November</month><year>2020</year></date>
           <date date-type="rev-request"><day>25</day><month>August</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e208">Atmospheric submicrometer aerosols have a great effect on air quality and human health, while their formation and evolution processes are still not
fully understood. Herein, the crucial role of atmospheric oxidation capacity, as characterized by OH exposure dose in the formation and evolution of
secondary submicrometer aerosols, was systematically investigated based on a highly time-resolved chemical characterization of <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in a
southern suburb of Beijing in summertime from 25 July to 21 August 2019. The averaged concentration of <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
19.3 <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.3 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and nearly half (48.3 %) of the mass was organic aerosols (OAs) during the observation period. The
equivalent photochemical age (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) estimated from the ratios of toluene to benzene was applied to characterize the OH exposure dose of
the air mass, in which an observation period with the similar sources and minimal influence of fresh emission was adopted. The relationships of
non-refractory <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species, OA factors (i.e., one hydrocarbon-like and three oxygenated organic aerosol factors) and
elemental compositions (e.g., <inline-formula><mml:math id="M7" 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="M8" 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="M9" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">S</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OSc</mml:mi></mml:mrow></mml:math></inline-formula>) to <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were analyzed in
detail. It was found that higher <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration accompanied longer <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with an average increase rate of
0.8 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Meanwhile, the formation of sulfate and more oxidized oxygenated OA were most sensitive to the increase in <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and
their contributions to <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were enhanced from 22 % to 28 % and from 29 % to 48 %, respectively, as <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increased. In addition, OSc and the ratios of <inline-formula><mml:math id="M20" 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> and <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> increased with the increase in <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. These results indicated
that photochemical aging is a key factor leading to the evolution of OA and the increase in <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in summertime.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page1342?><p id="d1e501">Fine particulate matter (<inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is one of the major atmospheric environmental problems, owing to its effects on air quality, human health,
and climate (IPCC, 2013; Davidson et al., 2005; Molina and Molina, 2004). In recent years, the <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in China exhibited a
significant decrease with the implementation of the measures and strict policies in the Air Pollution Prevention and Control Action Plan
(Zhang et al., 2019). However, the nationwide annual average concentration of <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is still greater than the standard of the World Health
Organization (WHO) and <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the primary pollutant in many regions, especially in the North China Plain (NCP). Beijing, one of the most
polluted megacities in the NCP, is also facing severe <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution. The annual mean concentration in Beijing was
51 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2018 (<uri>http://sthjj.beijing.gov.cn/</uri>, last access: 27 May 2020), which significantly exceeds the
Chinese National Ambient Air Quality Standard (annual average of 35 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the WHO Standard (annual average of
10 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Continuing to reduce the <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration is an important issue in improving the air quality in Beijing.</p>
      <p id="d1e631">It has been well recognized that secondary aerosols (SAs), including secondary inorganic aerosol (SIA) and secondary organic aerosol (SOA), are the
crucial constituents (30 %–77 %) of <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Xie et al., 2020; An et al., 2019; Sun et al., 2016a; Guo et al., 2014; Huang et al.,
2014). However, the formation and evolution mechanism of SA is still not well understood, mainly due to multiple precursors, complex formation
processes, and meteorological conditions (Chen et al., 2020, 2019a; Duan et al., 2020, 2019; Hua et al., 2018; Li et al., 2018a; Tie et al., 2017; Sun
et al., 2015). Therefore, from the perspective of precise <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> control, in-depth understanding of the processes related to SA formation and
evolution is crucial.</p>
      <p id="d1e656">The Aerodyne high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS) has the advantage of real-time measurement of non-refractory
submicrometer aerosol (NR-PM<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>) with high time resolution and sensitivity compared to filter measurements (DeCarlo et al., 2006). As a result,
HR-ToF-AMS measurements have been widely employed for illustrating the formation and evolution of PM in China (Chen et al., 2020; Xu et al., 2019b,
2014; Wu et al., 2018; Ge et al., 2017; Ye et al., 2017; Qin et al., 2016; Sun et al., 2016a; Huang et al., 2015; Li et al., 2015, 2013). Many
previous field observation studies have inspected the formation mechanism and process of SA (Huang et al., 2019; Shi et al., 2019; Sun et al., 2018a, b, 2016b, 2014; Y. C. Wang et al., 2017, 2016; Xu et al., 2017; Cheng et al., 2016). For example, studies showed that an aqueous-phase process could
be an important pathway in the formation of sulfate (Elser et al., 2016) and nitrate (Duan et al., 2020). However, most recent studies suggested that
sulfate formation was also associated with a photochemical process, which is closely related to the meteorological conditions, especially in
summertime (Chen et al., 2020; Duan et al., 2019). In terms of SOA, its contribution to PM<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was reported to be as important as SIA during
haze events in China (Huang et al., 2014). However, the formation mechanism of SOA is much less understood compared to SIA because SOA consists of
various organic species with different oxidation degrees. Meanwhile, based on the organics database measured by HR-ToF-AMS, positive matrix
factorization (PMF) analysis, one receptor model (Paatero and Tapper, 1994), has been employed to distinguish and quantify multiple OA factors (Hu
et al., 2016; Sun et al., 2016b). Studies have found that photochemical and aqueous-phase processes played different roles in the evolution of SOA,
which depended on the level of atmospheric oxidation capacity (e.g., total oxidant <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M38" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M40" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)),
relative humidity (RH), seasons, and regions (Chen et al., 2020; Feng et al., 2019; Y. C. Wang et al., 2017; Xu et al., 2017). For example, an aqueous-phase
process was reported to have a significant effect on the formation of less oxidized oxygenated OA (LO-OOA) and more oxidized oxygenated OA (MO-OOA) at
low levels of atmospheric oxidation capacity in wintertime Baoji, Shaanxi (Y. C. Wang et al., 2017). However, Xu et al. (2017) demonstrated that the
formation of MO-OOA was significantly dominated by the aqueous-phase process, while LO-OOA was closely correlated with the photochemical process in
urban Beijing (Xu et al., 2017). These inconsistences highlight the necessity of studying the role of atmospheric chemical processes in the formation
and evolution of different types of SOA.</p>
      <p id="d1e725">Previous studies have revealed some important factors (e.g., seasonal variation, meteorological factors, and pollution degree) that influence the
formation and evolution of <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in Beijing based on AMS observations (Hu et al., 2016; Sun et al., 2013a, b, 2012; Zhang et al., 2014,
respectively). Nevertheless, it should be pointed out that as the <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration decreases, the ozone (<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) concentration
increases year by year (Li et al., 2019b; Zhang et al., 2019). <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has become the primary air pollutant in summertime in the NCP and has
caused the enhancement of atmospheric oxidation capacity. Therefore, there is an urgent need to investigate the impact of these changes on the
atmospheric oxidation capacity and the formation and evolution of <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Moreover, it should be noted that most previous AMS observations in
Beijing were carried out in urban areas (Duan et al., 2020; Xu et al., 2019b, 2017; Q. Wang et al., 2018; Li et al., 2017; Hu et al., 2016; Zhang et al.,
2014; Sun et al., 2013a, b, 2012, 2010; Liu et al., 2012; Huang et al., 2010), while few studies were deployed in suburban areas (Chen et al., 2020;
Li et al., 2019a). Considering the different meteorological factors and emission sources, the contribution of different formation and evolution
pathways to <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in urban and suburban areas could be different.</p>
      <p id="d1e796">In this study, a field observation, mainly using HR-ToF-AMS, was conducted from 25 July to 21 August 2019 in a typical suburban site in Daxing
District, which is the south gate of Beijing. The observation site lies in the air pollution transport channel between Beijing and Hebei
province. Based on the measurement results of a series of gas- and particle-phase monitoring instruments, the chemical composition of
NR-<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, elemental ratios, and source categories of OA were analyzed. Moreover, the formation and evolution of secondary aerosols were
elucidated. Specifically, the effects of atmospheric oxidation capacity, which was characterized using the equivalent photochemical age
(<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), on the formation of secondary aerosols were discussed.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experimental methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sampling site</title>
      <p id="d1e836">The online field observation was carried out in the top floor of a building (the ninth floor, <inline-formula><mml:math id="M50" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 27 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above the ground) at the Qingyuan campus of
Beijing Institute of Petrochemical Technology in Daxing District (39.73<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.33<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)<?pagebreak page1343?> from 25 July to 21 August 2019. The site is
located between the 5th Ring Road and the 6th Ring Road in the south of Beijing and is a typical suburban site. Additionally, there is no
additional source of pollution except for two adjacent streets (i.e., Xinghua Street and Qingyuan Street, with a distance <inline-formula><mml:math id="M54" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 600 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). The
aerosols and gases were sampled using a <inline-formula><mml:math id="M56" 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> <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">in</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> stainless steel tube and <inline-formula><mml:math id="M58" 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> <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">in</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> PFA tube, respectively, and the sampling inlet
extended out of the window about 2.0 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. S1 in the Supplement). For the aerosol sampling line, the total flow rate was adjusted to
6.0 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> using an additional pump to reduce the residence time of aerosols (<inline-formula><mml:math id="M62" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.7 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>). Meanwhile, an impactor with a size
cut of 2.5 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m was equipped in the front of this sampling inlet to remove coarse aerosols. A series of gas analyzers shared the gas sampling
line, and the total flow rate was about 5.5 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with a corresponding residence time of gas of <inline-formula><mml:math id="M66" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.8 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. During the field
observation period, the average temperature and RH were 28.3 <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.3 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (22.1–37.7 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and
62.0 % <inline-formula><mml:math id="M71" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17.5 % (21.7 %–93.6 %), respectively. The wind speed was in a range of 0.40 to 5.37 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with an average
value of 1.62 <inline-formula><mml:math id="M73" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.93 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Instrumentation</title>
      <p id="d1e1102">The mass concentration and chemical composition of NR-<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were simultaneously measured by a HR-ToF-AMS (Aerodyne Research Inc., USA). The
detailed principles of HR-ToF-AMS can be found elsewhere (DeCarlo et al., 2006). Briefly, the aerosols are dried using a diffusion dryer containing
silica gel before they enter the HR-ToF-AMS to minimize the impact of aerosol liquid water on collection efficiency (CE). Following this, the aerosols
are sampled through a critical orifice and then concentrated into a narrow beam via an aerodynamic lens. The size of aerosol is determined using the
flight time of particles to the thermal vaporization and ionization chamber. Then the aerosols are successively vaporized by a heated surface
(<inline-formula><mml:math id="M76" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 600 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), ionized by electron ionization (EI, 70 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">eV</mml:mi></mml:mrow></mml:math></inline-formula>), and detected by a mass spectrometer detector. During this field
observation, the HR-ToF-AMS was operated under alternation of two modes, i.e., 2 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> V mode and 2 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> W mode. The mass concentration
of NR-<inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was derived from V mode considering its higher sensitivity, and the elemental ratios were obtained from W mode due to its higher
resolution. Meanwhile, routine quality assurance and quality control procedures, mainly including the calibration of inlet flow, ionization efficiency
(IE), and aerosol sizing, were carried out regularly every week according to the standard protocols, using pure dry mono-dispersed 300 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
<inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosols (Chen et al., 2019b; Drewnick et al., 2005) to guarantee the credibility of the HR-ToF-AMS results. The size distribution
and number concentration of aerosols with a mobility diameter from 13.6 to 736.5 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> were also measured by a custom-built scanning mobility
particle sizer (SMPS, Model 3082 equipped with 3776 CPC, TSI, USA). <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mass concentrations also calculated based on the volume
concentration measured by SMPS and the estimated <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> density (method details can be found in the Supplement). Its time series traced well
with that from HR-ToF-AMS (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.91; slope <inline-formula><mml:math id="M89" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.95 <inline-formula><mml:math id="M90" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01; see Fig. S2 in the Supplement).</p>
      <p id="d1e1258">The gas-phase species including <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and CO were measured in real time by a series of Thermo analyzers
(Model 42i-TL, 43i, 49i, 48i, respectively). The volatile organic compound (VOC) (e.g., benzene and toluene) concentrations were measured online
using a vacuum ultraviolet single-photon ionization time-of-flight mass spectrometer (SPIMS-3000, Guangzhou Hexin Analytical Instrument Co., Ltd.,
China). These instruments were calibrated periodically with the corresponding standard gas to ensure the accuracy of the observation data. In
addition, the meteorological parameters including temperature (<inline-formula><mml:math id="M94" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), RH, and wind speed and direction were recorded by an automatic weather station
(Vaisala M451).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Data analysis</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>HR-ToF-AMS data analysis</title>
      <p id="d1e1316">The standard analysis software tool (SQUIRREL, version 1.57I and PIKA, version 1.16I) written in Igor Pro (version 6.37, Wavemetrics Inc., USA) was
used to analyze the HR-ToF-AMS data. In order to obtain the quantitative mass concentrations of different species (i.e., OA, <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and Cl), and considering that the aerosols were almost neutral and had been dried before entering into the HR-ToF-AMS
inlet, the collection efficiency factor (CE) was determined according to the following equation (Middlebrook et al., 2012):
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M98" display="block"><mml:mrow><mml:mtext>CE</mml:mtext><mml:mo>=</mml:mo><mml:mo movablelimits="false">max⁡</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.0833</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.9167</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>ANMF</mml:mtext><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where ANMF is the mass fraction of <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in NR-<inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The default relative ionization efficiency (RIE) values were used for OA
(1.4), <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (1.1), and Cl (1.3) (Jimenez et al., 2003). As for <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, their RIE values were determined using the
pure dry mono-dispersed <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> aerosols to be 4.0 and 1.2, respectively.</p>
      <p id="d1e1485">Elemental analysis (EA) was also executed using the “Improved Ambient” method (Canagaratna et al., 2015) to obtain the hydrogen-to-carbon ratio
(<inline-formula><mml:math id="M106" 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>), oxygen-to-carbon ratio (<inline-formula><mml:math id="M107" 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>), and organic-mass to organic-carbon ratio (<inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula>), as well as elemental ratios of <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</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="M110" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">S</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The average carbon oxidation state (OSc) can be approximated by <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>⋅</mml:mo><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:mo>-</mml:mo><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:mrow></mml:math></inline-formula> and is a metric describing the
oxidation degree of atmospheric OA (Kroll et al., 2011).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>PMF analysis of OA</title>
      <p id="d1e1583">Source apportionment of OA was executed using the PMF model to analyze the HR-ToF-AMS mass spectral data to identify the main organic components and
their sources<?pagebreak page1344?> (Zhang et al., 2011). PMF, as a bilinear receptor model, can be expressed as the following equation (Paatero, 1997; Paatero and Tapper,
1994):
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M112" display="block"><mml:mrow><mml:mi mathvariant="bold">X</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">G</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="bold">F</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">E</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M113" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula> is the observed data matrix with dimensions of <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>×</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="bold">G</mml:mi></mml:math></inline-formula> is the factor contribution matrix of dimensions <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>×</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="bold">F</mml:mi></mml:math></inline-formula> is the factor
profile matrix of dimensions <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>×</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="bold">E</mml:mi></mml:math></inline-formula> is the matrix of residuals with dimensions of <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>×</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M121" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M122" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M123" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> are the number
of samples, species, and factors, respectively.</p>
      <p id="d1e1706">A least-squares fitting method was used to minimize the object function <inline-formula><mml:math id="M124" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>, which is defined as the sum of the squared residuals (<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) weighted by
their degree of measurement uncertainty (<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>).
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M127" display="block"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:msubsup><mml:mo>(</mml:mo><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e1802">In our study, the PMF software tool (PMF Evaluation Tool, PET, version 2.06) (Ulbrich et al., 2009) written in Igor Pro (version 6.37, Wavemetrics
Inc., USA) was used to analyze the HR-ToF-AMS mass spectra (<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 12–170). The detailed steps have been expressed in Zhang et al. (2011). According
to the values of the signal-to-noise ratio (SNR), <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> values with SNR in a range of 0.2–2 were weak variables and down-weighted two times, and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> values with
SNR less than 0.2 were bad variables and directly removed. As for duplicate information, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 (<inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and related <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> values (including
16 (O), 17 (HO), 18 (<inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>), and 28 (CO)) were also down-weighted. Then PMF was run for a range of factors (from 1 to 5) and
rotational parameters (FPEAK) (from <inline-formula><mml:math id="M135" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 to 1 with a step of 0.2). After considering multiple criteria, including mass spectral features, diurnal
patterns, correlation with external tracers, and temporal variations (Zhang et al., 2011), the best number of factors was determined to be 4 (detailed
diagnostics are shown in Fig. S3 in the Supplement), including one hydrocarbon-like OA (HOA) factor and three oxygenated organic aerosol factors
(LO-OOA, IO-OOA and MO-OOA; IO-OOA is an abbreviation for intermediate oxidized oxygenated OA). The corresponding mass spectra, time series,
and diurnal variation, which are similar to our previous results observed at the same site during summertime 2018 (Chen et al., 2020), are given in
Fig. S4 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Photochemical age</title>
      <p id="d1e1905">In the ambient air, the reaction of benzene and toluene with <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radicals is very slow, with reaction rates on the order
of <inline-formula><mml:math id="M138" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M140" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">molecule</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Atkinson and Arey, 2003), which are significantly lower
than the reaction rate with OH radicals (10<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">molecule</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Thus, their degradation is dominated by reaction with OH
radicals. Meanwhile, the reaction rate of toluene with OH radicals is about 5 times that of benzene. Therefore, their degradation rates in the
ambient air are significantly different after being exhausted from an emission source, which would lead to an observable change in their concentration
ratio. Consequently, the ratio of toluene to benzene is typically used to study the photochemical aging process of localized air masses (Yuan et al.,
2012; Parrish et al., 2007; de Gouw et al., 2005; Gelencsér et al., 1997; McKeen et al., 1996).</p>
      <p id="d1e2039">In this study, the equivalent photochemical age (<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was calculated to characterize the OH exposure dose of the air mass, as expressed
in the following equation. This method had been widely used to provide useful information on the photochemical process in the atmosphere (Yuan et al.,
2012; Parrish et al., 2007; de Gouw et al., 2005; McKeen et al., 1996).

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M146" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>toluene</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>benzene</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>⋅</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mi>ln⁡</mml:mi><mml:msub><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>toluene</mml:mtext><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mtext>benzene</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>toluene</mml:mtext><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mtext>benzene</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where [OH] is the average OH concentration in the ambient air and is assumed as 1.5 <inline-formula><mml:math id="M147" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molecule</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> according to
previous studies (Mao et al., 2009; Chu et al., 2016; Liu et al., 2018). <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>toluene</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>benzene</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the rate constants for the
reactions of OH with toluene (5.63 <inline-formula><mml:math id="M152" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">molecule</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and benzene
(1.22 <inline-formula><mml:math id="M155" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">molecule</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), respectively (Atkinson and Arey,
2003). <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>toluene</mml:mtext><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mtext>benzene</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the emission concentration ratio of toluene and benzene before aging in the atmosphere
and was determined to be 2.71 <inline-formula><mml:math id="M159" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.39 (Fig. S6 in the Supplement) according to the methods described by de Gouw et al. (2017), where the ratio at
nighttime was used to avoid the impact of photochemistry and boundary layer dilution on the emission
ratio. <inline-formula><mml:math id="M160" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:mtext>toluene</mml:mtext><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mtext>benzene</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> is the measured concentration ratio of toluene and benzene, as given in Fig. S6. Based on the back
trajectories and air mass cluster analysis (Draxier and Hess, 1998) (Details can be found in the Supplement), an observation period (Cluster 2,
Fig. S5 in the Supplement) with the similar emission sources was adopted. Furthermore, the data observed from 10:00 to 18:00 UTC<inline-formula><mml:math id="M161" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8 was used to minimize the
influence of fresh emission during the morning and evening rush hours on <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as discussed by Qin et al. (2016). In this study,
<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was determined to be in the range of 4–90 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, which is comparable to previous studies (up to 72 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) conducted in China
(Peng et al., 2016; Chu et al., 2021). Meanwhile, <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> had a higher level at noon, which is similar to the diurnal trend of OH radicals
observed in summertime of Beijing (Tan et al., 2019).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{Chemical compositions of {$\protect\chem{PM_{{1}}}$}}?><title>Chemical compositions of <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e2457">Overview of time series of <bold>(a)</bold> concentrations of NR-<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species derived from HR-ToF-AMS (left <inline-formula><mml:math id="M169" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) and SMPS (right <inline-formula><mml:math id="M170" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis), <bold>(b)</bold> relative contributions of NR-<inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species, and <bold>(c)</bold> concentration of total oxidant (<inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M173" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and photochemical age (<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) during this field observation.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f01.png"/>

        </fig>

      <p id="d1e2571">The time series of mass concentrations of NR-<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species (i.e., OA, <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and Cl) and their relative
contributions are summarized in Fig. 1. During this field observation, the hourly mass concentrations of NR-<inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were in the range of
2.2–64.3 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with an average of 19.3 <inline-formula><mml:math id="M184" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.3 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,<?pagebreak page1345?> which is close to those observed in a suburb of Beijing
in summer 2016 (14.2 <inline-formula><mml:math id="M186" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.4 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Li et al., 2019a) and summer 2018 (24.1 <inline-formula><mml:math id="M188" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18.0 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Chen et al.,
2020). However, this averaged <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was much lower than those observed in urban Beijing in summertime, such as
80 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 40.6 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2006 (Sun et al., 2010), 63.1 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2008 (Huang et al., 2010),
50 <inline-formula><mml:math id="M194" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2011 (Sun et al., 2012), and 37.5 <inline-formula><mml:math id="M196" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 31.0 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2012 (Hu et al., 2017). Meanwhile,
among all species in NR-<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OA contributed the most (48.3 %), indicating the dominant role of OA in summertime <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution
(Chen et al., 2020; Hu et al., 2016; Sun et al., 2015; Zhang et al., 2014). Moreover, the largest daily contribution of OA (<inline-formula><mml:math id="M200" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 80 %) was
observed during the clean period, with <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations less than 20 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (e.g., from 16 to 18 August 2019, Fig. 1b). On
the other hand, SIA accounted for 51.7 % of NR-<inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, in which sulfate was the largest contributor (23.2 %), followed by nitrate
(14.3 %), ammonium (13.4 %), and chloride (0.8 %). Similar relative contributions of these species were also observed in a suburb of
Beijing in summer 2016, where OA contributed a mass fraction of 42 %–71 %, followed by sulfate (15 %–27 %), nitrate
(6 %–22 %), ammonium (8 %–13 %), and chloride (0.3 %–0.6 %) (Li et al., 2019a). The percentage of different chemical
species in <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reported in previous observations in summertime of Beijing in urban and suburban was compared in Fig. S7 in the
Supplement. Typically, the fraction of OA (48.3 %) in suburban Beijing is higher than those in urban Beijing (33 %–38 %), while the contribution
of SIA (51.7 %) in suburban Beijing is smaller than those in urban Beijing (58 %–64 %) (Hu et al., 2017; Huang et al., 2010; Sun et al., 2010, 2012). The
reason may be the difference in the emissions of gaseous precursors (e.g., <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and their conversion ratio to SIA
(Hu et al., 2017; Li et al., 2020). Meanwhile, the inorganic sulfate, nitrate, and chloride could be well neutralized by ammonium during this field
observation since there is an extremely good linear relationship between <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M208" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M209" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M211" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Cl</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M215" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.998, slope <inline-formula><mml:math id="M216" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.992 <inline-formula><mml:math id="M217" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002, Fig. S8 in the Supplement). This implied the significant contribution of gaseous
<inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the formation of SIA and <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Therefore, <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission control in China should be strengthened in the future to
mitigate PM pollution (Liu et al., 2019b).</p>
      <p id="d1e3071">Figure 1 also presents the time series of total oxidant (<inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M222" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M224" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and photochemical age
(<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). In this study, <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> can be used to characterize the photochemical aging process undergone
and the total oxidant present in the ambient atmosphere, respectively. As shown in Fig. 1c, <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed a similar evolutionary trend to
that of <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, with a high correlation coefficient (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M232" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.75) during this summertime observation, implying there may exist a
correlation between <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. It is well known that the photochemical aging process of VOCs can form organic peroxy
radical (<inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and then accelerate the cycle of <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the formation of <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the atmosphere. Therefore, a longer
aging time (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) implies that more VOCs are consumed and more <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is formed. Consequently, the transform cycles of
<inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the accumulation of <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> would be accelerated under these conditions (T. Wang et al., 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e3299">Relationship between photochemical age (<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and total oxidant (<inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), NR-<inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration, and organic concentration during the observation period included by Cluster 2. The data are binned according to the value of <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (10 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> increment).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Role of photochemical aging in aerosol formation and composition</title>
      <p id="d1e3368">In order to evaluate the effect of the photochemical aging process, the relationships between <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OA concentration,
and binned <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were analyzed and shown in Fig. 2. These species concentrations all increase positively with the increasing of
<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Meanwhile, with the increase in <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, concentrations of <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased simultaneously (Fig. 2
and S9 in the Supplement), suggesting that the photochemical aging process may have an important contribution to the formation of <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during summertime in Beijing. The possible reason is that high temperature in summer can volatilize more VOCs from biogenic sources (Fu
et al., 2010) and anthropogenic sources (Pusede et al., 2014) (such as paint, as in McDonald et al., 2018, and asphalt, as in Khare et al., 2020), which could
promote the formation of <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Li et al., 2019c; Schnell and Prather, 2017). This was also verified by the positive
correlation between <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M259" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (Fig. S6). Further analysis showed that the concentration of <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> significantly decreased with
increasing <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in this observation period (Fig. S9b), implying the VOC-sensitive regime of <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> formation. Thus, increased
VOCs will produce more <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> locally (Li et al., 2018b), as well as more OA, since SOA (predominant species in OA) mainly
originates from the<?pagebreak page1346?> photochemical process of VOCs (Fan et al., 2020; Fu et al., 2014; Hallquist et al., 2009).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3570">Time series of OOA (<inline-formula><mml:math id="M265" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> LO-OOA <inline-formula><mml:math id="M266" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> IO-OOA <inline-formula><mml:math id="M267" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> MO-OOA) and <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M269" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M271" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The inset is a scatterplot of OOA vs. <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> with linear fit and colored by the time of day. The regression slope is 0.130 (<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M275" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.85).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f03.png"/>

        </fig>

      <p id="d1e3677">The time series of total OOA (<inline-formula><mml:math id="M276" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> LO-OOA <inline-formula><mml:math id="M277" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> IO-OOA <inline-formula><mml:math id="M278" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> MO-OOA) and <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was also compared (Fig. 3) and they presented similar
temporal changes (<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.85). As shown in the inset of Fig. 3, the regression slope for OOA vs. <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was determined to be
0.130 <inline-formula><mml:math id="M283" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.002 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which was slightly lower than those observed in Pasadena, CA
(0.146 <inline-formula><mml:math id="M285" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.001 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Hayes et al., 2013); Riverside, CA (0.142 <inline-formula><mml:math id="M287" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.004 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
(Docherty et al., 2011); and Mexico City (0.156 <inline-formula><mml:math id="M289" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.001 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Aiken et al., 2009). This might be related to the
observed high concentrations of light alkenes during this period. These species will cause high <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations but will not contribute
greatly to the formation of SOA. The scatter data are colored by the time of day, and the slope observed in the morning is steeper than that in the
afternoon, which was also observed in other field measurements and was mainly due to the increased evaporation of IO-OOA (Hayes et al., 2013; Herndon
et al., 2008; Wood et al., 2010). These results implied that the formation and evolution of PM pollution and OA were closely related to the
photochemical aging process and total oxidant present during the summertime, which need to be deeply explored to understand the growth of
<inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3908">Variations of the ratios of mass concentrations of NR-<inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species and OA factors to HOA as a function of <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The data are binned according to the value of <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (10 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> increments). The solid lines are the results of exponential fitting with the function of <inline-formula><mml:math id="M297" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:mi>B</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4001">Different chemical compositions of NR-<inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OA factor contributions during the <bold>(a)</bold> low <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M302" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) period and <bold>(b)</bold> high <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M305" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) period. The displayed <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OA, and <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are averages of values during the corresponding period.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f05.png"/>

        </fig>

      <p id="d1e4102">To further investigate the role of <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in aerosol formation, all NR-<inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species and OA factors were normalized to HOA to
exclude the accumulation and/or dilution effects in the atmosphere, and the corresponding ratios as a function of <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are given in
Fig. 4. Although the HOA emissions vary throughout the day and might bring some uncertainty, Sun et al. (2013a) indicated that this uncertainty might
be reduced and become insignificant when these databases are averaged (as a function of <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in this study). The normalized ratios of all
NR-<inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species positively increased as a function of <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with different increase rates. At low <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels
(<inline-formula><mml:math id="M316" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>), relatively small ratios of all species could be observed, and all ratios showed a slight increase trend. However, at
<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>–80 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, the normalized concentration of total NR-<inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, organic aerosol, and sulfate increased by a factor of <inline-formula><mml:math id="M321" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 6
compared with that at low <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels (<inline-formula><mml:math id="M323" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>). This indicated that these species were susceptible to photochemical aging
processes in the summer with strong solar radiation. Exponential fitting (<inline-formula><mml:math id="M325" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M326" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:mi>B</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math></inline-formula>) was applied to quantitatively describe the
relationship between these species and <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as given in Fig. 4. The fitting parameter <inline-formula><mml:math id="M329" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> could be used to characterize the sensitivity
of each species to the increase in <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, while smaller <inline-formula><mml:math id="M331" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> means more sensitivity to <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. According to the fitting results,
the formation of NR-<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was most sensitive to <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, followed by sulfate and organic aerosol in sequence. Their average increase rates in
absolute mass concentration (Fig. S10 in the Supplement) showed the same trend as the normalized ratios in Fig. 4. The average increase rate of
sulfate was the largest (0.4 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) among NR-<inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species, while that of NR-<inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
0.8 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. These results also suggested that the photochemical aging process plays an important role in sulfate formation in
summertime (Li et al., 2020). Previous studies have revealed that an aqueous-phase process plays an important role in sulfate formation (Sun et al.,
2015, 2013a). However, it appears that photochemical oxidation was the primary pathway of sulfate formation in the present summertime observation, as
seen in the <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>- and RH-dependent distributions of sulfate (Fig. S11 in the Supplement). Both the sulfate mass concentration and its
proportion in <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were highly dependent on <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rather than RH. As for nitrate, the corresponding ratio first increased and then
slightly decreased as <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased, which was similar to the evolution trend of absolute mass concentration (Fig. S10). It is worth
noting that the concentration of <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreased with increasing <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S12 in the Supplement), suggesting the
photochemical oxidation of <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or nitrate. This was in agreement with the observation of high concentrations of
<inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">z</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">z</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M349" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">y</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M351" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) at elevated <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels
(Fig. S12). Meanwhile, high temperature accompanied high levels of <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. S12), which could cause the evaporation of nitrate or
adsorbed <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into the gas phase (Xu et al., 2019a). As demonstrated by the <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>- and RH-dependent distributions of nitrate
(Fig. S11), the aqueous-phase process made a significant contribution to the formation of nitrate (Duan et al., 2020).</p>
      <?pagebreak page1347?><p id="d1e4649">Regarding the OA factors, they exhibited different dependence on <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as presented in Fig. 4. Among these four OA factors, MO-OOA was most
affected by the increase in <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with a factor of <inline-formula><mml:math id="M359" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13 compared with that at low <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels (<inline-formula><mml:math id="M361" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>). The
enhancement factor of LO-OOA with increased <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was <inline-formula><mml:math id="M364" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10, which might be due to its lower oxidation state (OSc <inline-formula><mml:math id="M365" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M366" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.34) than
that of MO-OOA (OSc <inline-formula><mml:math id="M367" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M368" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23). These results are consistent with the exponential fitting parameter <inline-formula><mml:math id="M369" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> of MO-OOA and LO-OOA in Fig. 4. The
average increase rate of MO-OOA (0.3 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) was also significantly larger than that of LO-OOA, with a factor of <inline-formula><mml:math id="M371" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 7. As
for IO-OOA, <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exhibited a slight enhancement effect, suggesting that photochemical aging may be not its main formation pathway. In
contrast, the normalized concentration of IO-OOA and its contribution to <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> significantly depended on RH (Fig. S13 in the Supplement),
which was consistent with the results of Herrmann et al. (2015).</p>
      <p id="d1e4819">Additionally, the evolution of <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">OA</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> as a function of <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was also presented in Fig. S14 in the Supplement, in
which <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> was obtained by the measured CO concentrations subtracting its background concentration, and the latter was determined to be
0.1 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula> according to the method described by<?pagebreak page1348?> DeCarlo et al. (2010). As shown in Fig. S14, the concentration ratio of organic aerosol and OOA
(especially for MO-OOA) to <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> also increased significantly with <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which could be attributed to the SOA formation from
the photochemical process and is also similar to the evolution trend of the ratios of OA components to HOA with <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 4). These results
further indicated the positive role of the photochemical aging process in aerosol formation.</p>
      <p id="d1e4903">Figure 5 shows the averaged contributions of NR-<inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species and OA factors at low and high <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels. The average mass
concentration of NR-<inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M385" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> was 25.3 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which was 1.4 times that at
<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M389" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. All NR-<inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species were enhanced in mass concentration by a factor of more than 1.1 at elevated
<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, of which sulfate had the largest enhancement factor of 1.7. OA was the dominant species in NR-<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at both <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
levels, although its percentage decreased from 48 % to 44 % with the increase in <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This decreased percentage could be
attributed to the significantly decreased contribution of HOA (from 37 % to 20 %) with the enhancement of <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, suggesting that
the photochemical aging process was not conducive to the accumulation of HOA. Comparing the contribution of other species to NR-<inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at low
and high <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels, it was found that the contribution of sulfate was enhanced from 22 % to 28 % as <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased,
which confirmed that the formation of sulfate was closely related to the photochemical process. The contribution of nitrate presented a decreasing
trend (from 16 % to 12 %) as <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased, which could be due to the enhanced production of OOA and sulfate as <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increased, as well as the dilution effects and evaporation of ammonium nitrate (DeCarlo et al., 2008; Nault et al., 2018).</p>
      <p id="d1e5134">The OA factors also presented different change trends and different compositions at high <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels compared with those at low
<inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels. The OOA accounted for more than half of OA, and showed much higher contribution at high <inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels than at low
<inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels (63 % vs. 80 %). Among them, MO-OOA showed the largest enhancement, by a factor of 1.7 from 3.2 to
5.3 <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in absolute mass concentration and a factor of 1.6 from 29 % to 48 % in relative contribution, indicating the
importance of MO-OOA in <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution at elevated <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> during the summertime. The contributions of LO-OOA and IO-OOA were almost
equal (<inline-formula><mml:math id="M409" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 22 % and <inline-formula><mml:math id="M410" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %, respectively) between low and high <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels, while the absolute mass concentrations were
enhanced by a factor of <inline-formula><mml:math id="M412" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1.1 at high <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels. On the contrary, the absolute mass concentration of HOA decreased from 3.5 to
2.1 <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during high <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> periods, indicating a negative effect of <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> on the accumulation of HOA. The
effects of dilution and evaporation might also be another reason for the lower HOA contribution and concentration, which tended to be observed at
higher temperature conditions and/or in the afternoon with the higher planetary boundary layer (PBL) (Fig. S9).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e5310">Variations of <inline-formula><mml:math id="M417" 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="M418" 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="M419" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">S</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula>, and OSc as a function of <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The data are binned according to the value of <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (10 <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> increments).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Role of photochemical aging in OA evolution</title>
      <p id="d1e5418">The role of <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the evolution of OA during the summertime was further examined. Figure 6 shows the variations of <inline-formula><mml:math id="M426" 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="M427" 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="M428" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">S</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula>, and OSc as a function of <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. All of these elemental ratios were determined from W mode
due to its higher resolution. And all except <inline-formula><mml:math id="M432" 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> increased with the increase in <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The decrease in <inline-formula><mml:math id="M434" 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> was related to the
decreased contribution of HOA (Fig. 5), since HOA had the highest <inline-formula><mml:math id="M435" 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> among these four OA factors (Fig. S4). In contrast to <inline-formula><mml:math id="M436" 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="M437" 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> and <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> increased from 0.52 to 0.77 and 1.88 to 2.20 with the increase in <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. Moreover, a high
correlation coefficient between <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M441" 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> was observed (<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M443" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.997, Fig. S15 in the Supplement). These results suggest that
OA was highly oxidized due to the progress of atmospheric photochemical aging. Meanwhile, the analogous variation between OSc and <inline-formula><mml:math id="M444" 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> confirmed
the high oxidation state of OA, since both are metrics of the oxidation degree of OA (Kroll et al., 2011). As for the variation of <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</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="M446" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">S</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, they presented a slight increase trend with the increase in <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This indicated that photochemical processes could contribute
to the formation of N-containing and S-containing organics, which is consistent with the fact that both of them are the important products of
gas-phase oxidation of VOCs and have also been detected in SOA (Farmer et al., 2010; Chen et al., 2019c, d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e5691">Van Krevelen diagram during this field observation. The data are binned according to the value of <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (10 <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> increment) and color coded by <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The elemental composition of OA was fitted with a slope of <inline-formula><mml:math id="M451" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.74 (<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M453" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.95).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/1341/2021/acp-21-1341-2021-f07.png"/>

        </fig>

      <?pagebreak page1350?><p id="d1e5756">The binned <inline-formula><mml:math id="M454" 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="M455" 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 a function of <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are given in Fig. 7. The fitted slope of <inline-formula><mml:math id="M457" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.74 is similar to those reported
in both field observations and laboratory simulations on the photochemical aging of anthropogenic primary OA or biomass burning OA (Chen et al.,
2015). This slope can be obtained by a combination of the simultaneous addition of both alcohol (slope <inline-formula><mml:math id="M458" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0) and carbonyl (slope <inline-formula><mml:math id="M459" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M460" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2)
functional groups, or the addition of carboxylic acid with (slope <inline-formula><mml:math id="M461" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M462" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5) and without (slope <inline-formula><mml:math id="M463" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M464" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1) fragmentation (Peng et al., 2016; Chen
et al., 2015; Ng et al., 2011; Heald et al., 2010). Additionally, as <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased, the OA evolved from the top-left region to the bottom-right
region of the Van Krevelen diagram, accompanied by a decrease in <inline-formula><mml:math id="M466" 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 increase in <inline-formula><mml:math id="M467" 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>. This further indicated that the
evolution process of OA was from less oxidized to more aged as the atmospheric photochemical aging progressed, leading to higher <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e5907">In this study, a summertime field observation mainly based on the Aerodyne HR-ToF-AMS was carried out to characterize NR-<inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in a southern
suburb of Beijing from 25 July to 21 August 2019. The role of photochemical age (<inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in aerosol formation and composition was
analyzed. During this period, the averaged NR-<inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was 19.3 <inline-formula><mml:math id="M472" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.3 <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For NR-<inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OA was
the dominant species (48 %–57 %), followed by sulfate (19 %–27 %) and nitrate (10 %–12 %) at different
<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> levels. Higher <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were observed at longer <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Meanwhile, with the increase in
<inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the normalized ratios of NR-<inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> species and OA factors to HOA were greatly enhanced by a factor of <inline-formula><mml:math id="M480" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 5, especially for
OA, sulfate, and MO-OOA. The total NR-<inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> presented the largest average increase rate of 0.8 <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, followed by
sulfate (0.4 <inline-formula><mml:math id="M483" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and MO-OOA (0.3 <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). As <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased from 24.4 to
57.5 <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, the relative contribution of MO-OOA presented the most obvious promotion from 29 % to 48 %, suggesting the significance of
more oxidized OA, which mainly originates from the photo-oxidation of VOCs, in <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution during the summertime with strong solar
radiation. The evolution of OA was also greatly affected by <inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, decreased <inline-formula><mml:math id="M489" 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 increased <inline-formula><mml:math id="M490" 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> could be found as
<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased, along with the larger OSc and <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OM</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OC</mml:mi></mml:mrow></mml:math></inline-formula>, indicating that OA went from less oxidized to more aged with the progression
of atmospheric photochemical aging, further leading to the higher <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration. Our results suggested that the atmospheric
photochemical aging process is a crucial factor resulting in the <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pollution in summertime, especially for the formation and evolution of
SOA. Previous studies have indicated that <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is a highly active species and has a great effect on the source of the main oxidants
(e.g., OH, <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Seinfeld and Pandis, 2016). VOCs, as the crucial precursors of SOA, are derived from a wealth of sources,
as well as lack effective control methods relative to other precursors. Meanwhile, the relative change in emissions of VOCs has also been estimated to
be increased by <inline-formula><mml:math id="M498" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>11 %, while other precursors (mainly <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) decreased during the period of 2010–2017 (Zheng et al., 2018). The relative
increase in VOCs would lead to the increased contribution of SOA in <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Therefore, <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mtext mathvariant="italic">x</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and VOCs, mainly from
vehicle-related emissions (Liu et al., 2019a; Qin et al., 2017), should be strictly controlled to lower the atmospheric oxidation capacity
characterized by OH exposure dose to further ease the PM pollution in summertime. Meanwhile, more attention should be paid to the non-transportation
sources, including heating (Cheng et al., 2018), cooking (H. Wang et al., 2018), asphalt-related emissions (Khare et al., 2020), and volatile chemical products
(McDonald et al., 2018), which have been reported to be non-negligible contributors to ambient VOCs, and played a dominate role in the photochemistry
of urban environments, especially for SOA formation.</p>
      <p id="d1e6325">Considering that there would be differences in the formation and evolution of <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between different seasons, and few field observations have been
conducted in suburban areas of Beijing, further work should be carried out to shed light on the seasonal variations of <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and their
formation and evolution mechanisms in different seasons in suburban areas. Additionally, the detailed role of photochemical age (<inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in
the formation of the secondary gaseous pollutant <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, as well as their relationship in different seasons, should also be of concern because
<inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has become the primary air pollutant, especially in summertime.</p>
</sec>

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

      <p id="d1e6388">The experimental data are available upon request to the corresponding authors.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6391">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-21-1341-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-21-1341-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6400">HH, YM, YL, and QM designed this field observation. TC, JL, and QM conducted the measurements and data analyses. TC, JL, QM, BC,
PZ, CZ, and YL interpreted and discussed the data results. TC wrote the paper with input from all coauthors. All authors contributed to the final
paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6406">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6412">The authors are grateful to all of the workers that provided their support during this field observation. The authors acknowledge the National Natural Science
Foundation of China (21922610, 22006152, 21876185, 91744205, and 41877304); the Youth Innovation Promotion Association, CAS (2018055, 2018060, and
2017064); and the Young Talent Project of the Center for Excellence in Regional Atmospheric Environment, CAS (CERAE201801). The authors would also
like to thank Ms. Qingcai Feng for her help editing this paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6417">This research has been supported by the National Natural Science Foundation of China (grant nos. 21922610, 21876185, 91744205, and
41877304) and the Chinese Academy of Sciences (grant nos. 2018055, 2018060, 2017064, and CERAE201801).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6423">This paper was edited by Roya Bahreini and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Measurement report: Effects of photochemical aging on the formation and evolution of summertime secondary aerosol in Beijing</article-title-html>
<abstract-html><p>Atmospheric submicrometer aerosols have a great effect on air quality and human health, while their formation and evolution processes are still not
fully understood. Herein, the crucial role of atmospheric oxidation capacity, as characterized by OH exposure dose in the formation and evolution of
secondary submicrometer aerosols, was systematically investigated based on a highly time-resolved chemical characterization of PM<sub>1</sub> in a
southern suburb of Beijing in summertime from 25 July to 21 August 2019. The averaged concentration of PM<sub>1</sub> was
19.3&thinsp;±&thinsp;11.3&thinsp;µg m<sup>−3</sup>, and nearly half (48.3&thinsp;%) of the mass was organic aerosols (OAs) during the observation period. The
equivalent photochemical age (<i>t</i><sub>a</sub>) estimated from the ratios of toluene to benzene was applied to characterize the OH exposure dose of
the air mass, in which an observation period with the similar sources and minimal influence of fresh emission was adopted. The relationships of
non-refractory PM<sub>1</sub> species, OA factors (i.e., one hydrocarbon-like and three oxygenated organic aerosol factors) and
elemental compositions (e.g., H∕C, O∕C, N∕C, S∕C, OM∕OC, and OSc) to <i>t</i><sub>a</sub> were analyzed in
detail. It was found that higher PM<sub>1</sub> concentration accompanied longer <i>t</i><sub>a</sub>, with an average increase rate of
0.8&thinsp;µg m<sup>−3</sup> h<sup>−1</sup>. Meanwhile, the formation of sulfate and more oxidized oxygenated OA were most sensitive to the increase in <i>t</i><sub>a</sub>, and
their contributions to PM<sub>1</sub> were enhanced from 22&thinsp;% to 28&thinsp;% and from 29&thinsp;% to 48&thinsp;%, respectively, as <i>t</i><sub>a</sub>
increased. In addition, OSc and the ratios of O∕C and OM∕OC increased with the increase in <i>t</i><sub>a</sub>. These results indicated
that photochemical aging is a key factor leading to the evolution of OA and the increase in PM<sub>1</sub> in summertime.</p></abstract-html>
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