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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-22-4355-2022</article-id><title-group><article-title>High atmospheric oxidation capacity drives <?xmltex \hack{\break}?>wintertime nitrate pollution in
the eastern <?xmltex \hack{\break}?>Yangtze River Delta of China</article-title><alt-title>Wintertime nitrate formation mechanisms in the eastern YRD</alt-title>
      </title-group><?xmltex \runningtitle{Wintertime nitrate formation mechanisms in the eastern YRD}?><?xmltex \runningauthor{H.~Zang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zang</surname><given-names>Han</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zhao</surname><given-names>Yue</given-names></name>
          <email>yuezhao20@sjtu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0003-1157-5101</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Huo</surname><given-names>Juntao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff6">
          <name><surname>Zhao</surname><given-names>Qianbiao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Fu</surname><given-names>Qingyan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2192-5654</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Duan</surname><given-names>Yusen</given-names></name>
          <email>duanys@yeah.net</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Shao</surname><given-names>Jingyuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Huang</surname><given-names>Cheng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9518-3628</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>An</surname><given-names>Jingyu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3274-3306</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Xue</surname><given-names>Likun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Ziyue</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9101-7737</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Chenxi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9388-5375</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xiao</surname><given-names>Huayun</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Environmental Science and Engineering, Shanghai Jiao Tong
University, Shanghai 200240, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Shanghai Environmental Monitoring Center, Shanghai 200235, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>College of Flight Technology, Civil Aviation University of China,
Tianjin 300300, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Shanghai Academy of Environmental Sciences, Shanghai 200233, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Environment Research Institute, Shandong University, Qingdao 266237, Shandong, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Academy of Environmental Planning &amp; Design, Co., Ltd., Nanjing University, Nanjing 210093, Jiangsu, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yue Zhao (yuezhao20@sjtu.edu.cn) and Yusen Duan
(duanys@yeah.net)</corresp></author-notes><pub-date><day>5</day><month>April</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>7</issue>
      <fpage>4355</fpage><lpage>4374</lpage>
      <history>
        <date date-type="received"><day>28</day><month>September</month><year>2021</year></date>
           <date date-type="rev-request"><day>12</day><month>November</month><year>2021</year></date>
           <date date-type="rev-recd"><day>8</day><month>February</month><year>2022</year></date>
           <date date-type="accepted"><day>15</day><month>March</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 </copyright-statement>
        <copyright-year>2022</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="d1e232">Nitrate aerosol plays an increasingly important role in wintertime haze
pollution in China. Despite intensive research on wintertime nitrate
chemistry in recent years, quantitative constraints on the formation
mechanisms of nitrate aerosol in the Yangtze River Delta (YRD), one of the
most developed and densely populated regions in eastern China, remain
inadequate. In this study, we identify the major nitrate formation pathways
and their key controlling factors during the winter haze pollution period in
the eastern YRD using 2-year (2018–2019) field observations and detailed
observation-constrained model simulations. We find that the high atmospheric
oxidation capacity, coupled with high aerosol liquid water content (ALWC),
made both the heterogeneous hydrolysis of dinitrogen pentoxide
(N<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>) and the gas-phase OH oxidation of nitrogen dioxide
(NO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) important pathways for wintertime nitrate formation in this
region, with contribution percentages of 69 % and 29 % in urban areas
and 63 % and 35 % in suburban areas during the haze pollution episodes,
respectively. We further find that the gas-to-particle partitioning of
nitric acid (HNO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was very efficient so that the rate-determining step
in the overall formation process of nitrate aerosol was the oxidation of
NO<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to HNO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> through both heterogeneous and gas-phase processes.
The atmospheric oxidation capacity (i.e., the availability of O<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and OH
radicals) was the key factor controlling the production rate of HNO<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
from both processes. During the COVID-19 lockdown (January–February 2020),
the enhanced atmospheric oxidation capacity greatly promoted the oxidation
of NO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to nitrate and hence weakened the response of nitrate aerosol to
the emission reductions in urban areas. Our study sheds light on the
detailed formation mechanisms of wintertime nitrate aerosol in the eastern
YRD and highlights the demand for the synergetic regulation of atmospheric
oxidation capacity and NO<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions to mitigate wintertime nitrate and
haze pollution in eastern China.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e335">Atmospheric fine particulate matter (PM<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> has profound impacts on air
quality, climate, and public health (Huang et al., 2014; Wang et al.,
2014; Lelieveld et al., 2015; von Schneidemesser et al., 2015). Over the
past decades, China has encountered severe PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution due to
rapid urbanization and industrialization (Huang et al., 2014; Zhang and
Cao, 2015; Tao et al., 2017; Peng et al., 2021). To tackle severe air
pollution, the Chinese government has implemented clean air policies such
as the “Action Plan for Air Pollution Prevention and Control” in recent
years. As a result, anthropogenic emissions of major air pollutants such as
sulfur dioxide (SO<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, nitrogen oxides (NO<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and primary PM have
declined dramatically, and the nationwide PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> air quality has
improved significantly (Shao et al., 2018; Zheng et al., 2018; Ding et
al., 2019; Zhang et al., 2019). In addition, with the emission reduction of
primary PM, secondary aerosol has become the most important component of
PM<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Shao et al., 2018; Ding et al., 2019; Peng et al., 2021).</p>
      <p id="d1e402">Secondary inorganic aerosol, consisting mainly of nitrate, sulfate, and
ammonium (SNA), contributed to 30 %–60 % of the PM<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass in China
(Hua et al., 2015; Tao et al., 2017; Ye et al., 2017; Wang et al., 2018;
Fu et al., 2020; Lin et al., 2020). During the pollution episodes, the
proportion of SNA to PM<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> could exceed 50 % (Tao et al., 2017;
Liu et al., 2020a; Peng et al., 2021). Before 2013, sulfate was often found
to be the most abundant component of PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Chinese cities (Zhao
et al., 2013; Huang et al., 2014; Kong et al., 2014; Xie et al., 2015; Tao
et al., 2017). However, with the implementation of stringent clean air
policies, anthropogenic emissions of SO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in China dropped by 59 %
from 2013 to 2017, while NO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions decreased only by 21 % during
the same period (Zheng et al., 2018). Consequently, sulfate aerosol
concentration has decreased dramatically nationwide since 2013, but
wintertime nitrate concentration has not decreased much (Ding et al.,
2019; Li et al., 2019a; Xu et al., 2019; Fu et al., 2020; Wang et al.,
2020b); nitrate has become an increasingly important component of PM<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
in most regions of China during winter (Ye et al., 2017; Yun et al.,
2018; Li et al., 2019a; Xu et al., 2019; Chen et al., 2020; Fu et al., 2020;
Kong et al., 2020; Lin et al., 2020; Xie et al., 2020; Zhai et al., 2021;
Zhang et al., 2021). The high loading of nitrate has been considered to play
an important role in winter haze pollution (Wen et al., 2015; Sun et al.,
2018). Therefore, identifying the major nitrate formation pathways and their
controlling factors during haze events is of great importance for developing
effective particulate pollution mitigation policies in China.</p>
      <p id="d1e460">In polluted regions, the nitrate aerosol arises mainly from two pathways:
(1) the gas-phase oxidation of nitrogen dioxide (NO<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> by OH radicals
producing nitric acid (HNO<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Calvert and Stockwell, 1983) and (2) the heterogeneous hydrolysis of dinitrogen pentoxide (N<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> that
was produced from the gas-phase reaction of NO<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with nitrate (NO<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> radicals
on aqueous aerosols (Bertram and Thornton, 2009; Bertram et al., 2009;
Wagner et al., 2013; McDuffie et al., 2019). The gas-phase OH <inline-formula><mml:math id="M29" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
pathway primarily occurs during the daytime and is mainly influenced by the
atmospheric oxidation capacity despite the NO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration (Chen
et al., 2020; Fu et al., 2020). The heterogeneous formation of nitrate via
N<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> hydrolysis is greatly affected by aerosol liquid water
content (ALWC) and the production of N<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Alexander et al.,
2020; Lin et al., 2020; Wang et al., 2020b). As a result, this heterogeneous
pathway is generally weak during the daytime because of the fast photolysis
of NO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals and titration by NO (Wayne et al., 1991; Brown
and Stutz, 2012), which inhibit N<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> production. However, it could
be the dominant pathway for nitrate formation during the nighttime (Wang
et al., 2017; McDuffie et al., 2019), where N<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> can be produced
more efficiently, and its hydrolysis is favored by the high relative humidity
(or ALWC).</p>
      <p id="d1e638">There have been a number of field studies on the pollution characteristics
and formation mechanisms of nitrate aerosol during haze events in China over
the past decades (Tao et al., 2016; Li et al., 2018; Sun et al., 2018;
Wen et al., 2018; Ding et al., 2019; Ye et al., 2019; Chen et al., 2020; Fu
et al., 2020; Lin et al., 2020; Wang et al., 2020b; Zhao et al., 2020a; Chan
et al., 2021). However, most of these studies were carried out in the North
China Plain (NCP) (Li et al., 2018; Wen et al., 2018; Chen et al., 2020;
Fu et al., 2020; Wang et al., 2020b; Chan et al., 2021). Earlier studies
suggested that the nitrate formation during the pollution episodes in this
region was mainly attributed to the heterogeneous hydrolysis of
N<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Su et al., 2017; Wang et al., 2017; He et al., 2018; Li
et al., 2018). However, recent studies showed that the gas-phase OH <inline-formula><mml:math id="M43" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> process has become more important, and sometimes this process was
even the dominant pathway for nitrate formation (Chen et al., 2020; Fu et
al., 2020). The Yangtze River Delta (YRD) in eastern China is one of the
most developed regions in China (Ding et al., 2013). The wintertime
O<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration is relatively high in this region, with an average of
<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> ppb, and sometimes could even reach 75 ppb (Li et al.,
2019c; Ye et al., 2019; Zhao et al., 2020a), which is significantly higher
than that (average: 6–16 ppb) in the NCP region (Li et al., 2019a; Duan
et al., 2020; Liu et al., 2020a). Furthermore, the relative humidity (RH) in
this region is also high, with the average winter RH ranging from 63 % to
71 % (Tao et al., 2016; Shen et al., 2020; Yu et al., 2020b), which was
also significantly higher than the average RH (20 %–40 %) in the NCP region
(Fang et al., 2019; Li et al., 2019a; Huang et al., 2020; Xie et al.,
2020). The high atmospheric oxidation capacity, coupled with the high RH
that led to high ALWC, would favor the production of secondary aerosol (Peng
et al., 2021).</p>
      <p id="d1e696">Haze pollution events frequently occurred in the YRD during winter (Hua
et al., 2015; Sun et al., 2018; Ding et al., 2019). Although there have been
many studies on the pollution characteristics of nitrate and PM<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in
this region (Tao et al., 2016; Sun et al., 2018; Chen et al., 2019; Ding
et al., 2019; Ye et al., 2019; Lin et al., 2020; Shen et al., 2020), only a
few studies have focused on nitrate formation mechanisms. It has been
reported that the heterogeneous hydrolysis of N<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> contributed
dominantly to nitrate formation in the western YRD (Sun et al., 2018),
and its production rate could be 5 times higher than that of the gas-phase
OH <inline-formula><mml:math id="M50" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> process during severe haze pollution events (Lin et
al., 2020). In contrast, some other studies have qualitatively pointed out
that the gas-phase OH <inline-formula><mml:math id="M52" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction was an important formation
pathway of nitrate in the eastern YRD, though the heterogeneous hydrolysis
of N<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> during the nighttime also contributed (Ye et al., 2019;
Zhao et al., 2020a). Overall, quantitative constraints on the detailed
formation mechanisms of wintertime nitrate aerosol in the YRD region remain
limited. The relative contribution of different nitrate formation pathways
and their controlling factors are still unclear.</p>
      <p id="d1e777">In this study, we conducted hourly measurements of nitrate and associated
particulate and gaseous air pollutants at an urban site and a regional site
in the eastern YRD during winter in 2018 and 2019, aiming to clarify the
nitrate formation mechanisms during winter. An observation-constrained box
model using the detailed Master Chemical Mechanism (MCM v3.3.1) updated with
the state-of-the-art heterogeneous chemistry of N<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
and particulate nitrate was employed to quantitatively identify the major
reaction pathways and key controlling factors for wintertime nitrate aerosol
formation in this region. This study will help to understand the nitrate
aerosol chemistry in the eastern YRD and develop effective strategies to
mitigate secondary aerosol pollution in this densely populated region.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Observation sites and instrumentation</title>
      <p id="d1e822">PM<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and its chemical composition, inorganic gases, volatile organic
compounds (VOCs), and meteorological parameters were continuously measured
at a regional site (Qingpu) and an urban site (Pudong) in Shanghai from
1 December to 12 February in both 2018 and 2019. The Qingpu site (120.989<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 31.097<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) is a suburban site (see Fig. 1),
located near Dianshan Lake and surrounded by the residential areas and
vegetation, about 46 km away from the urban Shanghai. In addition, the
Qingpu site is located at the junction of Shanghai, Jiangsu, and Zhejiang
provinces and is a typical regional site in the eastern YRD. The instruments
at this site were on the rooftop of a 10 m tall building. The Pudong site
(121.533<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 31.228<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) is an urban site located near
Century Avenue with heavy traffic, and it is only <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> km
from the business center Lujiazui. The instruments at this site were located
on the roof of a 20 m tall building. The eastern YRD region is affected by
the subtropical monsoon climate, dominated by the northwest and northeast
winds in winter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e883">Map of the eastern YRD region and the two observation sites, i.e.,
Qingpu (suburban and regional) and Pudong (urban).</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f01.jpg"/>

        </fig>

      <p id="d1e892">The measurements at the two sites were conducted hourly. The PM<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration was measured by a tapered element oscillating microbalance
combined with a filter dynamic measurement system (TEOM-FDMS; TEOM 1405-F,
Thermo Fisher Scientific, USA.). Water-soluble ions including <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, Cl<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, Na<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Ca<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>, and Mg<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> were measured using an
online Monitor for Aerosol and Gases (MARGA; ADI 2080, Applikon Analytical
B.B.Corp., Netherlands). Organic carbon (OC) and elemental carbon (EC) were
measured by a semi-continuous OC/EC analyzer (Model 4, Sunset Laboratory
Inc., USA), and a denuder was installed before the analyzer to avoid the
disturbance of organic vapors. The surface area and volume concentrations of
aerosol particles were measured using a scanning mobility particle sizer
(SMPS, TSI, USA, which consists of a 3080 electrostatic classifier, a 3081A
different mobility analyzer, and a 3787 condensation particle counter) and
an aerodynamic particle sizer (APS 3321, TSI, USA). The combination of SMPS
and APS was able to cover the particle size range from 13.6 nm to 10 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Considering that the Pudong sampling site lacks the data of aerosol surface area and volume concentrations, we performed a linear fit between
the aerosol surface area and volume concentrations and PM<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentration at the Qingpu
site (see Fig. S1 in the Supplement) and predicted the values for the
Pudong site based on such a linear fit and the measured PM<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass
concentration. The surface area and volume concentrations of dry aerosol particles
measured by SMPS and APS were corrected to the ambient RH based on an
empirical composition kappa function and the kappa-Köhler function (see
details in Sect. S1 in the Supplement). The O<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and
SO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were measured by an ozone, NO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and SO<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> analyzer (Model
49i, 42i, and 43i, Thermo Fisher Scientific, USA), respectively. A total of
56 VOCs were measured using gas chromatography equipped with a flame
ionization detector (GC-FID; Chromatotec A11000/A21022 at the Qingpu site
and PerkinElmer Clarus 580 at the Pudong site). Meteorological parameters
including temperature, RH, pressure, and wind speed and direction were measured
by a meteorological transducer (WXT520, Vaisala Ltd., Finland).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Estimation of aerosol liquid water content and pH</title>
      <p id="d1e1071">The ISORROPIA-II thermodynamic model was used to calculate aerosol pH and
ALWC (Fountoukis and Nenes, 2007). The water-soluble inorganic ion
concentrations, along with RH and temperature, were used as the model input.
The model was run in the forward mode, which would give a more accurate
estimation of aerosol pH than using the reverse mode with only particulate
inorganic ions as the model input (Guo et al., 2015; Hennigan et al.,
2015). Further, considering the relatively high RH in eastern YRD, we
selected the metastable state for aerosol in this study. ISORROPIA-II
calculated the equilibrium concentrations of particle hydronium ions (H<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">air</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and ALWC (<inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> per air volume. Then
the aerosol pH can be derived by the following equation:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M86" display="block"><mml:mrow><mml:mi mathvariant="normal">pH</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">log</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">log</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:msubsup><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">air</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow><mml:mi mathvariant="normal">ALWC</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where H<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is the concentration of hydronium ions in aqueous aerosol (mol L<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. It should be mentioned that when the RH was extremely high
(<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> %), a slight deviation in measured RH would cause
significant uncertainty in the estimation of ALWC. Therefore, we only
considered the data with the RH below 95 % in the further analysis.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Observation-constrained model simulation</title>
      <p id="d1e1233">The Framework for 0-D Atmospheric Modeling (F0AM v3.1) (Wolfe et al.,
2016) employing the MCM v3.3.1 (Jenkin et al., 2015) was used to
simulate the formation of nitrate in the pollution events during the whole
observation period. Figure 2 summarizes the formation pathways of HNO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
in the atmosphere (Alexander et al., 2020; Chan et al., 2021). In the
model, we considered the reaction pathways including heterogeneous
hydrolysis of N<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R3) and NO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R8), gas-phase OH <inline-formula><mml:math id="M94" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R7), NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical oxidation of VOCs (Reaction R5), and reaction of NO
with hydroperoxy (HO<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> radicals (Reaction R2), which together contributed to
88 % of HNO<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation in the global troposphere (Alexander
et al., 2020). The model did not include the hydrolysis of NO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals
and organic nitrate (Reactions R1, R4, and R6), as well as the reaction of NO<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
with halogen oxide species (Reaction R9). However, these pathways only had a small
contribution to the production of HNO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Alexander et al.,
2020). Therefore, they would not significantly affect the model results in
this study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1349">Simplified HNO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation mechanisms in the troposphere. <inline-formula><mml:math id="M103" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>
represents Cl, Br, and I.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f02.png"/>

        </fig>

      <p id="d1e1374">The default MCMv3.3.1 does not consider the heterogeneous hydrolysis of
N<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in detail and the heterogeneous production of nitrous acid
(HONO), an important precursor of OH radicals in the polluted atmosphere.
Therefore, we parameterized these processes in the model based on recent
advances in these processes. For the heterogeneous hydrolysis of
N<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, the N<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> molecules accommodated on aqueous
aerosols can undergo reversible hydrolysis to form <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and H<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>ONO<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Reaction R1), followed by the reaction of H<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>ONO<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> with H<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O or Cl<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>
to form HNO<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or nitryl chloride (ClNO<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (Reactions R2 and R3)
(Finlayson-Pitts et al., 1989; Schweitzer et al., 1998; Thornton and
Abbatt, 2005):


                <disp-formula specific-use="gather" content-type="numbered reaction"><mml:math id="M119" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><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:munder><mml:mover><mml:mo movablelimits="false">⇌</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mover><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:munder><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">ONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">ONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><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:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi>l</mml:mi><mml:mo>)</mml:mo><mml:mover accent="true"><mml:mo>⟶</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mover><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">ONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">aq</mml:mi><mml:mo>)</mml:mo><mml:mover accent="true"><mml:mo>⟶</mml:mo><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mover><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mi>g</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><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:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi>l</mml:mi><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The rate of the heterogeneous hydrolysis of N<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> on aqueous
aerosols (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> could be calculated by Eq. (2) when ignoring the gas-phase
diffusion limitation:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>2</label><mml:math id="M123" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>c</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is the uptake coefficient of N<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>,
defined as the probability of removal of N<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> per collision with
the wet aerosol surface; <inline-formula><mml:math id="M130" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the mean molecular speed of N<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>; and
<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the measured aerosol surface area concentration. In this study,
we employed an observation-based empirical parameterization of <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>N<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, which was first developed by Bertram and Thornton (2009) and recently modified by Yu et al. (2020a) to provide a reasonable representation of the
PM<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reactivity toward N<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> at different Chinese sites:
            <disp-formula id="Ch1.E6" content-type="numbered"><label>3</label><mml:math id="M140" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.7}{9.7}\selectfont$\displaystyle}?><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">4</mml:mn><mml:mi>c</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi>f</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><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:mfenced></mml:mrow><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mfenced open="[" close="]"><mml:mrow><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the measured aerosol volume concentration; <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the dimensionless Henry's law coefficient of N<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, with a value of 51 (Bertram and Thornton, 2009); <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi>f</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the reaction
rate constant of N<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> with water, which was calculated using a
linear function with [H<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O], as <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> [H<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O] (Yu et al., 2020a); <inline-formula><mml:math id="M151" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> and
<inline-formula><mml:math id="M152" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> are the relative rates of reactions of H<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>ONO<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (aq) with H<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O or Cl<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> (Reactions R2 and R3) versus that with <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (the
reverse reaction of R1), with values determined to be 0.033 and 3.4,
respectively, for different Chinese sites (Yu et al., 2020a); and [H<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O], [<inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>], and [Cl<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>] are
the molarity of water, nitrate, and chloride in aerosol, respectively.</p>
      <p id="d1e2436">The yields (<inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="normal">Φ</mml:mi></mml:math></inline-formula>, ranging between 0 and 1) of HNO<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and ClNO<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the heterogeneous hydrolysis of N<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> depend on the H<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and Cl<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> content in the aerosol (Bertram and Thornton, 2009; Yu et
al., 2020a). In this study, the yield of HNO<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was
estimated from Eq. 4 (Bertram and Thornton, 2009; Yu et al., 2020a):

            <disp-formula id="Ch1.R7" content-type="numbered reaction"><label>R4</label><mml:math id="M170" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Aerosol</mml:mi><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Φ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Φ</mml:mi><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">ClNO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>
          
            <disp-formula id="Ch1.E8" content-type="numbered"><label>4</label><mml:math id="M171" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><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:mfenced></mml:mrow><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M172" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> is the ratio of reaction rates of Reaction (R3) versus Reaction (R2),
which has been determined to be 105 (Yu et
al., 2020a).</p>
      <p id="d1e2673">Photolysis of HONO was shown to contribute 20 %–92 % of the production of OH
radicals during winter haze pollution events in China (Tan et al., 2017;
Slater et al., 2020; Xue et al., 2020). Here, on the basis of previous
studies (Lee and Schwartz, 1983; Kleffmann et al., 1998; Kurtenbach et
al., 2001; Wong et al., 2011; Wong et al., 2013; Han et al., 2016; Ye et
al., 2016; Liu et al., 2017; Trinh et al., 2017; Romer et al., 2018; Zare et
al., 2018; Liu et al., 2019; Wang et al., 2020a; Xue et al., 2020), we
parameterized the major heterogeneous production pathways of HONO and its
dry deposition to estimate the HONO budget during the pollution episodes. We
also considered the direct emissions of HONO from vehicles based on a 4 km <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> km emission inventory of NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and an empirical emission
ratio (0.8 %) of HONO to NO<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (Kurtenbach et al., 2001; An et al.,
2021). The added mechanisms are summarized in Table 1. A detailed
description of the parameterization is provided in the Supplement (Sect. S2). Considering that there remain significant uncertainties in the key
parameters (i.e., the uptake coefficient of NO<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on aerosol or ground
surfaces, the enhancement factor of the photolysis rate of particulate nitrate (<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:mi>j</mml:mi><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>) vs. that of gas-phase nitric acid (<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:mi>j</mml:mi><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and HONO emission ratios) of the heterogeneous HONO formation
pathways and its direct emissions as listed in Table 1, we performed the
sensitivity analyses for these parameters to evaluate their influences on
the model results.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2745">Parameterization of the formation and removal pathways of HONO added
to the model.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Mechanism</oasis:entry>
         <oasis:entry colname="col2">Parameterization</oasis:entry>
         <oasis:entry colname="col3">Max</oasis:entry>
         <oasis:entry colname="col4">Min</oasis:entry>
         <oasis:entry colname="col5">Ref</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> aerosol <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>→</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>HONO <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>HNO<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">a–d</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> ground <inline-formula><mml:math id="M191" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M192" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">a–d</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> aerosol <inline-formula><mml:math id="M197" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> hv <inline-formula><mml:math id="M198" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M199" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula><italic>j</italic>NO<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula><inline-formula><mml:math id="M202" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula><italic>j</italic>NO<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>noon<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">b, e–g</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> ground <inline-formula><mml:math id="M208" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> hv <inline-formula><mml:math id="M209" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M210" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> <italic>j</italic>NO<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula><inline-formula><mml:math id="M213" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula><italic>j</italic>NO<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>noon<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">b, e–g</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>p</italic>NO<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> hv <inline-formula><mml:math id="M219" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M220" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>HNO<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">100</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">h, i</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Vehicular emission</oasis:entry>
         <oasis:entry colname="col2">HONO/NO<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>
         <oasis:entry colname="col3">0.18 %</oasis:entry>
         <oasis:entry colname="col4">1.6 %</oasis:entry>
         <oasis:entry colname="col5">j–l</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> SO<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> aerosol <inline-formula><mml:math id="M226" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> HONO <inline-formula><mml:math id="M227" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">aq</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> M<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (pH <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>);</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">m, n</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> M<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (pH <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HONO deposition</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m s<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">23920</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">91.5</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (s<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M241" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> PBL (m)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2748"><inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> The value of <italic>j</italic>NO<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>noon used in the model was 0.005 s<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
References are given in detail here. a: Xue et al. (2020); b: Liu et al. (2019);
c: Wong et al. (2011); d: Kleffmann et al. (1998);
e: Wong et al. (2013); f: Zare et al. (2018);
g: Han et al. (2016); h: Romer et al. (2018); i: Ye et al. (2016); j: Kurtenbach et al. (2001); k: Liu et al. (2017), l: Trinh et al. (2017); m: Lee and Schwartz (1983); n: Wang et al. (2020a). PBL is the planetary boundary layer.</p></table-wrap-foot></table-wrap>

      <p id="d1e3740">In addition, we considered the dilution of species via deposition and
entrainment, etc., using a highly simplified parameterization:
            <disp-formula id="Ch1.E9" content-type="numbered"><label>5</label><mml:math id="M242" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">dil</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">dil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the first-order dilution rate constant, and <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a
fixed background concentration of pollutants. Here, a typical dilution
lifetime of 1 d was assumed; i.e., <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">dil</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> h<inline-formula><mml:math id="M246" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. As
the species background concentration was unknown, <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi mathvariant="normal">bkg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was set to 0
for simplicity. Considering the uncertainties in the parameterization of
dilution process using a constant rate constant, we also conducted a
sensitivity test for <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">dil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with its value ranging between 0.028
and 0.2 h<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which covers the typical values used in box model
simulations (Romer et al., 2018; McDuffie et al., 2019; Liu et al.,
2020b), to evaluate its influence on the model results.</p>
      <p id="d1e3885">In the model, the <inline-formula><mml:math id="M250" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> values of various gaseous species were calculated using
the default MCMv3.3.1 parameterization with input of the solar zenith angle
at the observation sites and scaled by the ratio of measured to calculated
<inline-formula><mml:math id="M251" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> values. The observed pollutant concentrations and meteorological
parameters were used as the model input, which were updated hourly (one
model step) using the observation data and held constant during each model
step, except for the observed concentrations of NO and NO<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (the sum of
NO and NO<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations was constrained by the observation,
but their specific ratios were simulated by the model).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Overview of pollution characteristics during winter</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3947">Time series of temperature, relative humidity (RH), aerosol liquid
water content (ALWC), NO<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and nitrogen oxidation ratio
(NOR), as well as PM<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and major particulate compositions at the
Pudong site in the winter of 2019.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f03.png"/>

        </fig>

      <p id="d1e3992">Table 2 shows the overall pollution conditions of the two observation sites
in winter 2018 and 2019. The average PM<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration increased by
17 %–21 % in 2019 compared to that in 2018. Accordingly, nitrate
concentration also increased by 11 %–14 % in 2019. The O<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
was slightly higher in 2019 than in 2018, consistent with increased
atmospheric oxidation capacity in recent years (Lu et al., 2018; Li et
al., 2019b; Liu and Wang, 2020; Yang et al., 2020). In the 2 years, both
of the PM<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and nitrate concentrations at the Qingpu site were higher
than those at the Pudong site. As mentioned above, the Qingpu site is at the
junction of Shanghai, Jiangsu, and Zhejiang, so it is more easily influenced
by the transport of air pollutants from Jiangsu, which is usually more
polluted than Shanghai. Additionally, the average temperature at the Qingpu site
was also slightly lower than that at the Pudong site, which might to some
extent favor the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Notably, the
average RH was as high as 80 % during the observation period, which was
significantly higher than that (63 %) recorded in 2016 (Tao et
al., 2016). In particular, the RH exceeded 90 % for more than one-third of
the days during the observation period.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e4034">Concentrations (average <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation) of PM<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>,
particulate nitrate, NO<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, as well as temperature and RH at
Qingpu and Pudong sites in the winter of 2018 and 2019.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center">Sites </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Qingpu – 2018</oasis:entry>
         <oasis:entry colname="col3">Pudong – 2018</oasis:entry>
         <oasis:entry colname="col4">Qingpu – 2019</oasis:entry>
         <oasis:entry colname="col5">Pudong – 2019</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">50.0 <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 34.8</oasis:entry>
         <oasis:entry colname="col3">40.9 <inline-formula><mml:math id="M271" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 32.5</oasis:entry>
         <oasis:entry colname="col4">58.6 <inline-formula><mml:math id="M272" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 37.2</oasis:entry>
         <oasis:entry colname="col5">49.5 <inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 35.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">14.9 <inline-formula><mml:math id="M277" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.8</oasis:entry>
         <oasis:entry colname="col3">11.9 <inline-formula><mml:math id="M278" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.2</oasis:entry>
         <oasis:entry colname="col4">17.0 <inline-formula><mml:math id="M279" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14.8</oasis:entry>
         <oasis:entry colname="col5">13.2 <inline-formula><mml:math id="M280" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col2">29.6 <inline-formula><mml:math id="M282" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 31.1</oasis:entry>
         <oasis:entry colname="col3">27.5 <inline-formula><mml:math id="M283" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24.4</oasis:entry>
         <oasis:entry colname="col4">35.1 <inline-formula><mml:math id="M284" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 33.1</oasis:entry>
         <oasis:entry colname="col5">26.9 <inline-formula><mml:math id="M285" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">O<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col2">19.1 <inline-formula><mml:math id="M287" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.7</oasis:entry>
         <oasis:entry colname="col3">18.8 <inline-formula><mml:math id="M288" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.4</oasis:entry>
         <oasis:entry colname="col4">21.7 <inline-formula><mml:math id="M289" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14.3</oasis:entry>
         <oasis:entry colname="col5">22.3 <inline-formula><mml:math id="M290" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature (<inline-formula><mml:math id="M291" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col2">6.6 <inline-formula><mml:math id="M292" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.4</oasis:entry>
         <oasis:entry colname="col3">7.3 <inline-formula><mml:math id="M293" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.2</oasis:entry>
         <oasis:entry colname="col4">7.5 <inline-formula><mml:math id="M294" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.2</oasis:entry>
         <oasis:entry colname="col5">8.2 <inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RH (%)</oasis:entry>
         <oasis:entry colname="col2">80 <inline-formula><mml:math id="M296" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17</oasis:entry>
         <oasis:entry colname="col3">78 <inline-formula><mml:math id="M297" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18</oasis:entry>
         <oasis:entry colname="col4">80 <inline-formula><mml:math id="M298" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17</oasis:entry>
         <oasis:entry colname="col5">79 <inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 20</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e4494">Taking the Pudong site in 2019 as an example, we analyzed the time series of
PM<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, nitrate, and other related parameters and presented the results
in Fig. 3 (time series of the pollutants at the Qingpu site can be seen in
Sect. S3 and Fig. S2). PM<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution events occurred frequently
in the eastern YRD during winter. During the observation period, the
PM<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration exceeded 75 <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M304" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 34 d and 150 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M306" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 6 d. During the pollution episodes (PM<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M309" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), nitrate had become the most important
component of PM<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and its concentration was a factor of 2.2 higher
than that of sulfate. In winter, the emission of NO<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> was obviously
high. During the periods with high nitrate concentration, the NO<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
concentration always exceeded 100 ppb. The O<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was also at
a relatively high level, with a maximum value of 60 ppb and an average of 22 ppb, which was much higher than the wintertime average O<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration
(6–16 ppb) in the NCP (Li et al., 2019a; Duan et al., 2020; Liu et al.,
2020a). The concentration of odd oxygen (O<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> O<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula> NO<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
ranged between 20–83 ppb with an average of 44 ppb, indicating a relatively
high atmospheric oxidation capacity in the eastern YRD during winter.
Consistently, the nitrogen oxidation ratio (NOR; NOR <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> + NO<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was up to 0.51, suggesting a high degree of atmospheric
oxidation. Meanwhile, the high atmospheric RH in the eastern YRD led to a
high ALWC. During the high nitrate periods, the ALWC was often at its peak
and could exceed 200 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on rainy or hazy–foggy days. Such a
high ALWC level would have an important impact on the nitrate formation.
Notably, the NO<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration dropped sharply on 23 January and kept
at a low level until the end of the observation (12 February 2020). This is
mainly a result of marked emission reductions during the COVID-19 lockdown.
Such an emission reduction had a complicated influence on the nitrate
formation chemistry, which will be discussed in detail in Sect. 3.5.</p>
      <p id="d1e4765">Figure 4 shows the mass ratio of nitrate to PM<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> as a function of the
PM<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration and ALWC at Qingpu and Pudong sites in 2018 and
2019. The ratio of nitrate to PM<inline-formula><mml:math id="M326" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> increased with increasing
PM<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration. When the PM<inline-formula><mml:math id="M328" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration was above 75 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the average mass fraction of nitrate was
more than 30 %. In addition, the nitrate formation rate was much higher
than that of sulfate and ammonium during PM<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution episodes, as
indicated by the slope of nitrate vs. PM<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> that was twice that of the
other two ions (see Fig. S3). These results indicate that the formation of
nitrate played a driving role in the formation of PM<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution. In
general, when the ALWC was high, the nitrate concentration was also at a
high level. On the one hand, ALWC could promote the nitrate formation by
favoring the heterogeneous hydrolysis of N<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and the
gas-to-particle partitioning of HNO<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. On the other hand, the increase
in nitrate concentration could enhance the hygroscopicity of PM<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>,
leading to an increase in ALWC, which would further promote the nitrate
formation (Wang et al., 2020b). It is worth noting that, when
PM<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M340" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the mass
ratio of <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to PM<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> increased rapidly with rising PM<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration, but when the PM<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration exceeded 100 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M346" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, the ratio reached a plateau. This might be due
to the fact that when the PM<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration increased to a certain
level, the formation process of other components may also speed up, causing
the nitrate proportion to stay basically constant.</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="d1e5011">Mass ratio of nitrate to PM<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> as a function of PM<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration at <bold>(a, c)</bold> Qingpu and <bold>(b, d)</bold> Pudong sites in the winter of 2018
and 2019. The circles represent the measured ratio of
NO<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M351" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>PM<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and their area is linearly scaled with the square
root of ALWC.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Gas-to-particle partitioning of nitrate</title>
      <p id="d1e5080">The gas-to-particle partitioning of nitrate determines the sensitivity of
particulate nitrate formation to the production of HNO<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Figure 5 shows
the particulate nitrate concentration (measured) and its fraction to total
nitrate (<inline-formula><mml:math id="M354" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M356" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M359" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> HNO<inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, predicted by ISORROPIA-II) as a function of ALWC and
aerosol pH. In order to avoid the influence of rainy and foggy days during
the observation period, which could lead to the abnormal high ALWC, we only
used the data with RH below 95 % for analysis. Obviously, ALWC promoted
the formation of particulate nitrate, but such a promoting effect varied
greatly under different aerosol pH (top panel in Figs. 5a–d). As the pH
increased, the slope of nitrate vs. ALWC also increased significantly,
indicating a stronger promoting effect. ALWC plays a dual role in the
formation of nitrate aerosol: it can promote the heterogeneous formation of
nitrate, e.g., via N<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> hydrolysis, by providing more reaction
medium and decreasing the kinetic limitation (Mozurkewich and Calvert,
1988; Bertram and Thornton, 2009; Wang et al., 2020b); the ALWC can also
promote the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The different
promoting effect of ALWC under different aerosol pH is mainly due to the
fact that pH can significantly influence the gas-to-particle partitioning of
HNO<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. As shown in Figs. 5a–d (bottom part of each panel), when the aerosol pH was
low, the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was inhibited, with the
value of <inline-formula><mml:math id="M366" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> basically below 0.6 at pH <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>.
Under these conditions, the increase of particulate nitrate concentration
would require more ALWC. When the pH increased, the inhibition effect of pH
on the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was weakened. When the pH
was higher than 2.5, the nitrate was almost in the particle phase
(<inline-formula><mml:math id="M370" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). As a result, the increase of ALWC would
rapidly promote the nitrate formation, particularly when ALWC was at a low
level. It is important to point out that during the whole observation
period, the values of <inline-formula><mml:math id="M372" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were larger than 0.9 for
90 % of time when the PM<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration was higher than 75 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (see Fig. S4). This indicates that the
gas-to-particle partitioning of HNO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was very efficient and not a
limiting factor for particulate nitrate formation during the pollution
episodes. The gas-to-particle partitioning of HNO<inline-formula><mml:math id="M378" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was also efficient
in the NCP region, and its average <inline-formula><mml:math id="M379" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> could reach
100 % during the haze pollution period (Guo et al., 2018; Li et al.,
2019a). However, the average <inline-formula><mml:math id="M381" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the northeastern
United States during winter was only 39 % (Guo et al., 2018); this
might be due to the relatively lower pH in this region (<inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula>)
(Guo et al., 2016), which inhibited the gas-to-particle partitioning.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e5386">Particulate nitrate concentration and its fraction to total nitrate
(<inline-formula><mml:math id="M384" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as a function of ALWC and aerosol pH at <bold>(a, c)</bold> Qingpu and <bold>(b, d)</bold> Pudong sites in the winter of 2018 and 2019. The circles
are colored according to aerosol pH.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Observational constraints on the nitrate formation mechanism</title>
      <p id="d1e5428">The dominant nitrate formation pathway is different at different
times of the day. The heterogeneous hydrolysis of N<inline-formula><mml:math id="M386" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was often
found to be an important pathway for nighttime nitrate formation. Here, we
evaluated the role of this pathway to nitrate formation in the eastern YRD
using the nighttime averages' correlation between particulate nitrate
concentration and the production of N<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. Due to the lack of
direct observational data of N<inline-formula><mml:math id="M390" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> in this study, we used the value
of NO<inline-formula><mml:math id="M392" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> squared multiplied by O<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> ([NO<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M395" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M396" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to indicate the N<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> level (Liu et al., 2020a).
Figure 6 shows the nighttime average nitrate concentration as a function of
[NO<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M402" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in winter. The average particulate
nitrate concentration showed a strong positive correlation with
[NO<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M405" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M406" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. In particular in 2019, as the value of
[NO<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M409" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M410" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> increased to <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">000</mml:mn></mml:mrow></mml:math></inline-formula> ppb<inline-formula><mml:math id="M413" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, the nitrate concentration increased from 15–20 <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:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M415" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 40–45 <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M417" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
suggesting that the heterogeneous hydrolysis of N<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was an
important pathway for wintertime nitrate formation in the eastern YRD.
Notably, there are some data points with low values of
[NO<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M422" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M423" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> but high nitrate concentrations. This
might be partly due to their relatively high aerosol pH (<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>),
which could promote the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</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="d1e5805">Nighttime average particulate nitrate concentration (empty circles)
as a function of [NO<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M428" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> [O<inline-formula><mml:math id="M429" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] at <bold>(a, c)</bold> Qingpu and
<?xmltex \hack{\mbox\bgroup}?><bold>(b, d)</bold><?xmltex \hack{\egroup}?> Pudong sites in 2018 and 2019. The circles are colored according to
aerosol pH, and their size is linearly scaled with the square root of ALWC. The
blue filled circles represent the average of nitrate concentration within a
certain [NO<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M432" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> [O<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] interval. To reduce the
influences of the daytime remainder on the analysis of nighttime nitrate
formation, only the data with an obvious peak or increasing trend during
nighttime were included in the plots.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f06.png"/>

        </fig>

      <p id="d1e5891">To evaluate the role of the gas-phase OH <inline-formula><mml:math id="M434" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> process in nitrate
formation during the daytime, we use the O<inline-formula><mml:math id="M436" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to indicate the atmospheric
oxidation capacity due to the lack of direct observational data of OH
radicals. Figure 7 shows the daytime average particulate nitrate
concentration as a function of O<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. Notably, as the O<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
concentration increased, the nitrate concentration also increased
significantly. However, the increase in ALWC seemed to have a relatively
small impact on the nitrate concentration during the daytime, indicating
that the reaction of NO<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with OH radicals to form HNO<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (rather
than the gas-to-particle partitioning) was a rate-limiting step in daytime
nitrate formation. We also note that there are some data points with low
O<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> values but high ALWC and nitrate concentrations (Fig. 7c). This
phenomenon might be owing to a certain degree of heterogeneous process in
the hazy–foggy days, when the photochemical reactions were relatively weak.
Overall, the high atmospheric oxidation capacity made the gas-phase OH <inline-formula><mml:math id="M442" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction an important pathway for nitrate formation during the
daytime in the eastern YRD.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e5984">Daytime average particulate nitrate concentration as a function of
O<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> at <bold>(a, c)</bold> Qingpu and <bold>(b, d)</bold> Pudong sites in 2018 and 2019. The
circles are colored according to aerosol pH, and their size is linearly
scaled with the square root of ALWC. The blue filled circles represent the
average of nitrate concentration within a certain O<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> interval. The data
points inside the black circle in <bold>(c)</bold> correspond to low O<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels but
high ALWC and nitrate concentrations. Only the data with an obvious peak or
increasing trend during daytime were included in the plots.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Model constraints on the nitrate formation mechanism</title>
      <p id="d1e6038">To quantify the contribution of different formation mechanisms to wintertime
nitrate formation in the eastern YRD, we used an observation-constrained
model (F0AM v3.1) updated with the heterogeneous chemistry of N<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (see Sect. 2.3 for details) to simulate the formation rate
of HNO<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from different pathways during the observation period. During
the winter of 2019, six haze pollution episodes (PM<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) occurred at both sites (there was an additional episode
during the outbreak of the COVID-19 pandemic, which was discussed separately in
Sect. 3.5). We conducted simulations for all the six pollution episodes
and took two representative ones at the Pudong site for detailed
analysis. Considering the large uncertainties in ALWC estimation and aerosol
surface area and volume corrections at high RH levels (<inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> %),
which could significantly affect the simulation results, we excluded the
simulated data above 95 % RH from the further analysis. Figure 8 shows the
time series of various particulate (measured) and gaseous (measured and
simulated) air pollutants, as well as the formation rate of HNO<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
(simulated) from different pathways during these two episodes (the case
studies of the same episodes at the Qingpu site are given in Sect. S4 and
Fig. S5).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e6140">Time series of particulate nitrate, NO<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, ALWC, OH, and N<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, as well as the formation rate of HNO<inline-formula><mml:math id="M461" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from different
processes during the two selected cases during the pollution episodes at the
Pudong site in 2019. The simulated data with RH <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> % were not
included in the figure (see main text).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f08.png"/>

        </fig>

      <p id="d1e6205">In episode 1 (Fig. 8a), the nitrate concentration increased rapidly from
15.2 <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 22:00 LT on 29 December to 39.0 <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
10:00 LT on 30 December, with an average growth rate of 2.0 <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M468" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The simulated NO<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration was in good agreement with
the observation, expect for a short period around the midnight of 30
December, during which the NO emissions led to an overprediction of the
NO<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> level. During the high nitrate periods, the nighttime
N<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentration could reach 0.5–1 ppb and contributed
noticeably to HNO<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation via the heterogeneous hydrolysis. However,
the high daytime OH concentration (up to <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> facilitated a relatively more rapid nitrate formation from the
gas-phase OH <inline-formula><mml:math id="M477" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> pathway. The average production rate of HNO<inline-formula><mml:math id="M479" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
from the gas-phase OH <inline-formula><mml:math id="M480" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction during the daytime was 2.9 <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:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which was twice the average production rate of
HNO<inline-formula><mml:math id="M485" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the heterogeneous hydrolysis of N<inline-formula><mml:math id="M486" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> during the
nighttime.</p>
      <p id="d1e6468">We note that the overestimation of NO<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> during the night of 30 December
(case 1) could lead to an overestimation of nighttime HONO, but it did not
significantly affect the overall production rate of HONO and thereby OH
radicals in this case, which was dominated by daytime heterogeneous
photochemical processes (see Fig. S7, HONO production rate in the base
scenario). In addition, as the O<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in the model was
constrained by the measured value, which was very low (<inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ppb)
during this time, the overestimation of NO<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> would also not
significantly affect the prediction of N<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. As a result, the
overprediction of NO<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> would not have a large influence on the major
formation pathways of nitrate.</p>
      <p id="d1e6536">There were two cases in episode 2 (Fig. 8b). In case 2, the
concentration of nitrate increased from 26.8 <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M496" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 05:00 LT to
46.0 <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 13:00 LT on 12 January 2020, with an average growth
rate of 2.4 <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M500" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M501" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Then, the nitrate
concentration achieved a fast growth from 40.2 to 70.5 <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M503" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> within only 6 h during the night of 12 January, with an average rate
of 5.1 <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. During the nitrate increasing
period, the maximum OH concentration was <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. As a result, the gas-phase OH <inline-formula><mml:math id="M509" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M510" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reaction led to a slow increase of nitrate concentration in the daytime of
12 January. During the nighttime, the N<inline-formula><mml:math id="M511" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentration quickly
increased to 0.83 ppb. The high N<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> level, in combination with
the high ALWC, made the heterogeneous hydrolysis of N<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> a more
important pathway for nitrate formation. The simulated average production
rate of HNO<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the heterogeneous hydrolysis of N<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> during
this case was 4.0 <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which was 3.6 times that of the
formation rate from the gas-phase OH <inline-formula><mml:math id="M523" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction (1.1 <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M526" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M527" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). In case 3, the nitrate concentration increased from 22.5 <inline-formula><mml:math id="M528" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M529" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 0:00 LT to 53.8 <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 11:00 LT on 14 January,
with an average growth rate of 2.8 <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M533" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M534" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The
N<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentration was at a high level (<inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ppb)
during the nighttime, and its hydrolysis contributed significantly to nitrate
formation at the beginning of the nitrate-increasing period. In the morning
of 14 January, the OH concentration rapidly increased to <inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M539" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, resulting in considerable nitrate formation
from the gas-phase process. The average production rates of HNO<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from
the heterogeneous and gas-phase processes in this case were 3.9 and 2.4 <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M542" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, suggesting that both processes were
important nitrate formation pathways.</p>
      <p id="d1e7067">As mentioned above, there were six haze pollution episodes during the
observation period. At the Qingpu site, the heterogeneous hydrolysis of
N<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was the major formation pathway (65 %–80 %) of nitrate
aerosol for four episodes, while the gas-phase OH <inline-formula><mml:math id="M546" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M547" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction had
a major contribution (54 %–60 %) for the other two episodes. At the Pudong
site, the heterogeneous process also contributed dominantly (67 %–89 %) to
nitrate formation during four episodes, and for the other two episodes, the
contributions of the heterogeneous and gas-phase processes were comparable
(51 %–53 % vs. 45 %–47 %). Figure S6 shows the average diurnal variation of
the production rates of HNO<inline-formula><mml:math id="M548" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from different pathways during the
observation period in 2019. The gas-phase process produced HNO<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mainly
from 7:00 to 16:00 LT, while the HNO<inline-formula><mml:math id="M550" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production from the heterogeneous
process occurred mainly from 17:00 to 6:00 LT. The average production rates of
HNO<inline-formula><mml:math id="M551" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the heterogeneous and gas-phase processes are given in Fig. 9. At the Qingpu site, the average production rate of HNO<inline-formula><mml:math id="M552" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the
two processes was 3.79 <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M554" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M555" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the heterogeneous
process during the nighttime (14 h) vs. 2.94 <inline-formula><mml:math id="M556" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M557" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M558" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for the gas-phase reaction during the daytime (10 h). The production
rate from other processes such as NO<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> hydrolysis and NO<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical
oxidation of VOCs was only 0.08 <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M562" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M563" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Therefore, the
heterogeneous and gas-phase processes contributed to 63 % and 35 % of
nitrate formation at this site, respectively. At the Pudong site, the
average formation rate of HNO<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the hydrolysis of N<inline-formula><mml:math id="M565" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M566" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
was 3.83 <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M568" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M569" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, significantly higher than that from the
gas-phase reaction (2.27 <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M571" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. As a result, the
contributions of heterogeneous and gas-phase processes to nitrate formation
were 69 % and 29 %, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e7373">Simulated average formation rates of HNO<inline-formula><mml:math id="M573" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at <bold>(a)</bold> Qingpu and
<bold>(b)</bold> Pudong sites during the haze pollution periods in 2019.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f09.png"/>

        </fig>

      <p id="d1e7397">As mentioned in Sect. 2.3, significant uncertainties remain in the key
parameters of the heterogeneous HONO formation pathways and the dilution
process in the model, which could affect the prediction of OH radicals and
N<inline-formula><mml:math id="M574" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and thereby the production of HNO<inline-formula><mml:math id="M576" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. However, sensitive
analyses for various parameters show that the current parameterization of
the heterogeneous HONO formation and dilution process in the model allows
for robust quantitative constraints on the relative contributions of the
gas-phase and heterogeneous processes to nitrate formation during haze
pollution episodes (see Sect.  S5 and Figs. S7, S8 for more details). In
addition, monoterpenes that are very reactive to NO<inline-formula><mml:math id="M577" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals
(Atkinson and Arey, 2003) were not included in the model because
their measurements are not available in this study. However, a case study
considering the monoterpene chemistry in the model shows that the low
monoterpene emissions during the winter did not significantly affect the
budget of NO<inline-formula><mml:math id="M578" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radical and N<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M580" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and thereby the nighttime
HNO<inline-formula><mml:math id="M581" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production (see Sect. S6 and Fig. S9 for more details).</p>
      <p id="d1e7474">As discussed in Sect. 3.2, the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M582" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
was rather efficient, with the value of <inline-formula><mml:math id="M583" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M584" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> larger than
0.9 for 90 % of the time during the haze pollution periods. Therefore, the
overall formation rate of particulate nitrate would be determined by the
production rate of HNO<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the heterogeneous hydrolysis of
N<inline-formula><mml:math id="M586" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M587" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and gas-phase OH <inline-formula><mml:math id="M588" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M589" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction. To identify the key
chemical factors that controlled the production rates of HNO<inline-formula><mml:math id="M590" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from
these two major reaction pathways, the relationships between the HNO<inline-formula><mml:math id="M591" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rate and concentrations of NO<inline-formula><mml:math id="M592" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and oxidants (i.e., O<inline-formula><mml:math id="M593" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
or OH radicals) are examined and plotted in Fig. 10.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e7585">Production rates of HNO<inline-formula><mml:math id="M594" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the <bold>(a)</bold> heterogeneous and <bold>(b)</bold> gas-phase processes as a function of NO<inline-formula><mml:math id="M595" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration at the Pudong
site during the nighttime and daytime, respectively. The circles are colored
according to the O<inline-formula><mml:math id="M596" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in <bold>(a)</bold> and OH radical concentration
in <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f10.png"/>

        </fig>

      <p id="d1e7634">As shown in Fig. 10a, the slopes of the HNO<inline-formula><mml:math id="M597" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rate from the
heterogeneous process vs. NO<inline-formula><mml:math id="M598" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> during the nighttime were different under
different O<inline-formula><mml:math id="M599" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations. When O<inline-formula><mml:math id="M600" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations were higher
than 10 ppb, the increase in NO<inline-formula><mml:math id="M601" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> led to a significant increase in
HNO<inline-formula><mml:math id="M602" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production, with the production rate exceeding 5 <inline-formula><mml:math id="M603" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M604" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M605" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> when the NO<inline-formula><mml:math id="M606" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was higher than 30 ppb. However, when the O<inline-formula><mml:math id="M607" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
level was low (<inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppb), the heterogeneous process was relatively
slow, even with NO<inline-formula><mml:math id="M609" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration exceeding 60 ppb. These results
suggest that the atmospheric oxidation capacity (or the availability of
O<inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which affected the production of N<inline-formula><mml:math id="M611" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M612" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, played a vital
role in controlling the nitrate formation rate from the heterogeneous
process. Furthermore, the reactive uptake of N<inline-formula><mml:math id="M613" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M614" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> by aerosols was
found to be very efficient (see Fig. S10), so that it was not the
rate-limiting step of the heterogeneous nitrate formation during the haze
pollution periods. Similarly, the slope of the HNO<inline-formula><mml:math id="M615" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rate
from the gas-phase process vs. NO<inline-formula><mml:math id="M616" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> during the daytime also varied
dramatically under different OH radical concentrations (Fig. 10b). As the
OH radical concentration was higher than <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molecules cm<inline-formula><mml:math id="M618" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, this rate increased markedly with the increase in NO<inline-formula><mml:math id="M619" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. This
phenomenon proved again that the atmospheric oxidation capacity played a
driving role in the production of HNO<inline-formula><mml:math id="M620" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the gas-phase process.</p>
      <p id="d1e7877">The results in Fig. 10 also suggest that solely reducing the NO<inline-formula><mml:math id="M621" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emissions might result in an increase of O<inline-formula><mml:math id="M622" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and OH concentrations
(Lu et al., 2019; Zhao et al., 2020b), which could enhance the oxidation
of NO<inline-formula><mml:math id="M623" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and thereby offset the effect of NO<inline-formula><mml:math id="M624" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission reductions on
HNO<inline-formula><mml:math id="M625" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production. Therefore, a synergistic control of atmospheric
oxidants and NO<inline-formula><mml:math id="M626" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions would be of great importance for mitigating
wintertime particulate nitrate pollution in the eastern YRD.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Nitrate aerosol formation during the COVID-19</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e7946">Average concentrations of NO<inline-formula><mml:math id="M627" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, SO<inline-formula><mml:math id="M628" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M629" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, OH
radicals, PM<inline-formula><mml:math id="M630" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, nitrate, and sulfate, as well as the nitrogen and sulfur
oxidation ratio (NOR and SOR) at <bold>(a–c)</bold> Pudong and <bold>(d–f)</bold> Qingpu sites before
(1–22 January 2020) and during (23 January–12 February 2020) the COVID-19
pandemic.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/4355/2022/acp-22-4355-2022-f11.png"/>

        </fig>

      <p id="d1e7998">The city lockdowns during the COVID-19 pandemic resulted in substantial
emission reductions from vehicular and industrial sources, which provided an
opportunity to investigate the response of secondary aerosols to primary
emission reductions. Here, we selected the 23 January 2019 as a demarcation
point (since then many cities in China started to implement lockdown
measures) and analyzed the characteristics of particulate nitrate pollution
before and during the COVID-19 pandemic.</p>
      <p id="d1e8001">Figure 11 shows the concentrations of major gaseous and particulate air
pollutants, NOR, and sulfur oxidation ratio (SOR) in the eastern YRD before
(1–22 January, 2020) and during (23 January–12 February, 2020) the COVID-19
pandemic. At the Pudong site (Fig. 11a, b, c), the average NO<inline-formula><mml:math id="M631" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
concentration decreased by 57 % due to marked reductions in vehicular
emissions during the pandemic. In contrast, the SO<inline-formula><mml:math id="M632" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration only
had a small decrease (16 %) during the pandemic, since it mainly comes
from coal-combustion sources and is less affected by vehicular emissions.
However, the O<inline-formula><mml:math id="M633" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration increased by 66 % during the pandemic.
This is mainly due to the significant reduction in NO<inline-formula><mml:math id="M634" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions,
though the changes in meteorological conditions could also contribute
(Zhao et al., 2020b). Accordingly, the model simulations show that the
atmospheric OH concentration (median) increased by 14 % during the
pandemic, though the average value only increased slightly. The increase in
O<inline-formula><mml:math id="M635" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and OH concentrations could significantly promote the oxidation of
NO<inline-formula><mml:math id="M636" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to nitrate and SO<inline-formula><mml:math id="M637" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to sulfate through both gas-phase and
heterogeneous processes. As shown in Fig. 11c, the average values of NOR
and SOR increased from 0.15 and 0.46 before the pandemic to 0.21 and 0.50
during the pandemic, respectively. The enhanced oxidation of NO<inline-formula><mml:math id="M638" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M639" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> would weaken the response of particulate nitrate and sulfate to the
emission reductions. As can be seen in Fig. 11b and c, the simulated
HNO<inline-formula><mml:math id="M640" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rate and measured particulate nitrate concentration
dropped by 42 % and 40 % during the pandemic, respectively, which were
both significantly smaller than the decrease in NO<inline-formula><mml:math id="M641" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration
(57 %), while the particulate sulfate concentration only decreased by
2 %, also substantially smaller than the reduction in SO<inline-formula><mml:math id="M642" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentration (16 %).</p>
      <p id="d1e8115">Similarly, at the Qingpu site, the NO<inline-formula><mml:math id="M643" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration decreased by
58 % during the pandemic, while the concentrations of O<inline-formula><mml:math id="M644" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and OH
radicals (median) increased by 90 % and 17 %, respectively. The
significantly enhanced atmospheric oxidation capacity made the simulated
HNO<inline-formula><mml:math id="M645" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rate only decrease by 17 % during the pandemic.
However, the measured particulate nitrate concentration at this site
decreased by 60 %, comparable to the decrease in NO<inline-formula><mml:math id="M646" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration.
The inconsistency between the decrease in measured nitrate concentration and
simulated HNO<inline-formula><mml:math id="M647" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rate at the Qingpu site was different from
the situation observed at the Pudong site, which is likely due to the fact
that the Qingpu site was more easily to be influenced by the regional
transport. We note that the average wind speed at the Qingpu site (1.8 m s<inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was higher than that at the Pudong site (1.1 m s<inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In addition,
the haze pollution was more serious at the Qingpu site than at the Pudong
site before the pandemic: both PM<inline-formula><mml:math id="M650" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and nitrate concentrations were
significantly higher at the Qingpu site (see Fig. 11). Therefore, the
marked emission reductions on a regional scale during the pandemic would
decrease both the local formation and transport of particulate nitrate from
the upwind regions, resulting in a more pronounced reduction in observed
nitrate concentration at the Qingpu site. In addition, before the pandemic,
the transport of aged air plume with relatively high nitrate and sulfate
concentrations from upwind regions resulted in relatively high NOR and SOR
values at the Qingpu site. However, during the pandemic, the significant
decrease in nitrate and sulfate concentrations in the aged air plume due to
regional emission reductions led to lower NOR and SOR at this site.</p>
      <p id="d1e8203">The results at the Pudong site clearly show that the enhanced atmospheric
oxidation capacity during the COVID-19 pandemic promoted the formation of
secondary aerosols and offset the effects of primary emission reductions in
the eastern YRD. Such a phenomenon was also observed in many other
regions in China during the COVID-19 lockdown (Le et al., 2020; Zheng et
al., 2020; Huang et al., 2021; Liu et al., 2021; Tian et al., 2021; Zhong et
al., 2021). These results suggest an important role of atmospheric oxidation
capacity in regulating secondary aerosol formation. They also highlight the
importance of the synergetic regulation of atmospheric oxidants and other
air pollutants in the mitigation of particulate pollution in China. However,
the Qingpu site also provided us a special case that in severely polluted
regions with a stronger influence from the regional transport, the offset
effects of enhanced atmospheric oxidation capacity on emission reductions
could be more complicated and less significant.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e8215">In this study, the chemical mechanisms and key controlling factors of
wintertime nitrate formation in the eastern YRD of China were investigated
using a combination of online field observations and detailed model
simulations. During the observation period (winter 2018 and 2019), the haze
pollution events (PM<inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M652" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> occurred
frequently in this region. The mass fraction of nitrate in PM<inline-formula><mml:math id="M654" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
increased dramatically with PM<inline-formula><mml:math id="M655" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration and exceeded 30 %
throughout the pollution periods. The measured nitrate concentration was
well correlated with [NO<inline-formula><mml:math id="M656" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M657" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M658" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> [O<inline-formula><mml:math id="M659" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] (an indicator of
N<inline-formula><mml:math id="M660" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M661" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at night and the level of O<inline-formula><mml:math id="M662" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (an indicator of
atmospheric oxidation capacity) during the daytime, indicating that both the
heterogeneous hydrolysis of N<inline-formula><mml:math id="M663" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M664" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and gas-phase OH <inline-formula><mml:math id="M665" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M666" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> process played important roles in wintertime nitrate formation in the
eastern YRD. Observation-constrained model simulations further show that the
average production rates of HNO<inline-formula><mml:math id="M667" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from the heterogeneous hydrolysis of
N<inline-formula><mml:math id="M668" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M669" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> during the nighttime and gas-phase OH <inline-formula><mml:math id="M670" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M671" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reaction
during the daytime were 3.81 and 2.61 <inline-formula><mml:math id="M672" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M673" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M674" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, during the haze pollution periods; these
two pathways accounted for 66 % and 32 % of wintertime nitrate formation
in the eastern YRD, respectively.</p>
      <p id="d1e8454">The ALWC significantly promoted the formation of nitrate by facilitating the
hydrolysis of N<inline-formula><mml:math id="M675" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M676" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and the gas-to-particle partitioning of
HNO<inline-formula><mml:math id="M677" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. However, the promoting effect of ALWC on nitrate formation varied
with aerosol pH due to its significant influence on the gas-to-particle
partitioning of HNO<inline-formula><mml:math id="M678" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. During the pollution periods, the gas-to-particle
partitioning of HNO<inline-formula><mml:math id="M679" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was very efficient, with the partitioning
coefficients, <inline-formula><mml:math id="M680" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>HNO<inline-formula><mml:math id="M681" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, larger than 0.9 for 90 % of the
time. Therefore, the overall formation processes of wintertime particulate
nitrate were not limited by the gas-to-particle partitioning of HNO<inline-formula><mml:math id="M682" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
but rather by its production from both heterogeneous and gas-phase
processes. Further analyses of the response of HNO<inline-formula><mml:math id="M683" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation to the
variation in the concentrations of NO<inline-formula><mml:math id="M684" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M685" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and OH radicals
suggest that the atmospheric oxidation capacity (i.e., the availability of
O<inline-formula><mml:math id="M686" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and OH radicals) played a key role in controlling the formation of
nitrate from both processes.</p>
      <p id="d1e8565">During the COVID-19 lockdown (January–February 2020), the enhanced
atmospheric oxidation capacity promoted the oxidation of NO<inline-formula><mml:math id="M687" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to nitrate
and weakened the effects of primary emission reductions on particulate
pollution in typical urban areas in the eastern YRD, though such an offset
effect was less significant in regions with a stronger influence from the
regional transport. This phenomenon again suggests that the atmospheric
oxidation capacity played an important role in driving the formation of
secondary aerosols and highlights the importance of the synergetic
regulation of atmospheric oxidation capacity and other air pollutants in the
mitigation of particulate pollution in eastern China.</p>
</sec>

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

      <p id="d1e8582">The data presented in this work are available upon request from the
corresponding authors.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e8585">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-4355-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-22-4355-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e8594">YZ designed the study, JH, QZ, QF, and YD performed field measurements, JS
conducted ISORROPIA-II model calculation, JA and CH provided the NO<inline-formula><mml:math id="M688" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emission inventory, and YZ and HZ analyzed the data, conducted model
simulations, and wrote the paper. LX, ZL, CL, and HX contributed to
discussion and writing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e8609">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e8615">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8621">Yue Zhao acknowledges the Program for Professor of Special Appointment
(Eastern Scholar) at Shanghai Institutions of Higher Learning. The authors
are grateful to Hongli Wang and Yaqin Gao for kindly sharing their
monoterpene observation data for a sensitivity test.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e8626">This research has been supported by the National Natural Science Foundation of China (grant no. 22022607) and the Science and Technology Commission of Shanghai Municipality (grant no. 19DZ1205004).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e8632">This paper was edited by Andreas Hofzumahaus and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Alexander, B., Sherwen, T., Holmes, C. D., Fisher, J. A., Chen, Q., Evans, M. J., and Kasibhatla, P.: Global inorganic nitrate production mechanisms: comparison of a global model with nitrate isotope observations, Atmos. Chem. Phys., 20, 3859–3877, <ext-link xlink:href="https://doi.org/10.5194/acp-20-3859-2020" ext-link-type="DOI">10.5194/acp-20-3859-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>An, J., Huang, Y., Huang, C., Wang, X., Yan, R., Wang, Q., Wang, H., Jing, S., Zhang, Y., Liu, Y., Chen, Y., Xu, C., Qiao, L., Zhou, M., Zhu, S., Hu, Q., Lu, J., and Chen, C.: Emission inventory of air pollutants and chemical speciation for specific anthropogenic sources based on local measurements in the Yangtze River Delta region, China, Atmos. Chem. Phys., 21, 2003–2025, <ext-link xlink:href="https://doi.org/10.5194/acp-21-2003-2021" ext-link-type="DOI">10.5194/acp-21-2003-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Atkinson, R., and Arey, J.: Atmospheric degradation of volatile organic
compounds, Chem. Rev., 103, 4605–4638, 2003.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Bertram, T. H. and Thornton, J. A.: Toward a general parameterization of <inline-formula><mml:math id="M689" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactivity on aqueous particles: the competing effects of particle liquid water, nitrate and chloride, Atmos. Chem. Phys., 9, 8351–8363, <ext-link xlink:href="https://doi.org/10.5194/acp-9-8351-2009" ext-link-type="DOI">10.5194/acp-9-8351-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Bertram, T. H., Thornton, J. A., Riedel, T. P., Middlebrook, A. M.,
Bahreini, R., Bates, T. S., Quinn, P. K., and Coffman, D. J.: Direct
observations of N<inline-formula><mml:math id="M690" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M691" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> reactivity on ambient aerosol particles,
Geophys. Res. Lett., 36, L19803, <ext-link xlink:href="https://doi.org/10.1029/2009GL040248" ext-link-type="DOI">10.1029/2009GL040248</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>
Brown, S. S. and Stutz, J.: Nighttime radical observations and chemistry,
Chem. Soc. Rev., 41, 6405–6447, 2012.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>
Calvert, J. G. and Stockwell, W. R.: Acid generation in the troposphere by
gas-phase chemistry, Environ. Sci. Technol., 17, 428–443, 1983.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Chan, Y. C., Evans, M. J., He, P., Holmes, C. D., Jaeglé, L.,
Kasibhatla, P., Liu, X. Y., Sherwen, T., Thornton, J. A., Wang, X., Xie, Z.,
Zhai, S., and Alexander, B.: Heterogeneous Nitrate Production Mechanisms in
Intense Haze Events in the North China Plain, J. Geophys. Res.-Atmos., 126, e2021JD034688,
<ext-link xlink:href="https://doi.org/10.1029/2021jd034688" ext-link-type="DOI">10.1029/2021jd034688</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Chen, X., Wang, H., Liu, Y., Su, R., Wang, H., Lou, S., and Lu, K.: Spatial
characteristics of the nighttime oxidation capacity in the Yangtze River
Delta, China, Atmos. Environ., 208, 150–157, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2019.04.012" ext-link-type="DOI">10.1016/j.atmosenv.2019.04.012</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Chen, X., Wang, H., Lu, K., Li, C., Zhai, T., Tan, Z., Ma, X., Yang, X.,
Liu, Y., Chen, S., Dong, H., Li, X., Wu, Z., Hu, M., Zeng, L., and Zhang,
Y.: Field Determination of Nitrate Formation Pathway in Winter Beijing,
Environ. Sci. Technol., 54, 9243–9253, <ext-link xlink:href="https://doi.org/10.1021/acs.est.0c00972" ext-link-type="DOI">10.1021/acs.est.0c00972</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Ding, A., Huang, X., Nie, W., Chi, X., Xu, Z., Zheng, L., Xu, Z., Xie, Y., Qi, X., Shen, Y., Sun, P., Wang, J., Wang, L., Sun, J., Yang, X.-Q., Qin, W., Zhang, X., Cheng, W., Liu, W., Pan, L., and Fu, C.: Significant reduction of PM<inline-formula><mml:math id="M692" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in eastern China due to regional-scale emission control: evidence from SORPES in 2011–2018, Atmos. Chem. Phys., 19, 11791–11801, <ext-link xlink:href="https://doi.org/10.5194/acp-19-11791-2019" ext-link-type="DOI">10.5194/acp-19-11791-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Ding, A. J., Fu, C. B., Yang, X. Q., Sun, J. N., Zheng, L. F., Xie, Y. N., Herrmann, E., Nie, W., Petäjä, T., Kerminen, V.-M., and Kulmala, M.: Ozone and fine particle in the western Yangtze River Delta: an overview of 1 yr data at the SORPES station, Atmos. Chem. Phys., 13, 5813–5830, <ext-link xlink:href="https://doi.org/10.5194/acp-13-5813-2013" ext-link-type="DOI">10.5194/acp-13-5813-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Duan, J., Huang, R.-J., Li, Y., Chen, Q., Zheng, Y., Chen, Y., Lin, C., Ni, H., Wang, M., Ovadnevaite, J., Ceburnis, D., Chen, C., Worsnop, D. R., Hoffmann, T., O'Dowd, C., and Cao, J.: Summertime and wintertime atmospheric processes of secondary aerosol in Beijing, Atmos. Chem. Phys., 20, 3793–3807, <ext-link xlink:href="https://doi.org/10.5194/acp-20-3793-2020" ext-link-type="DOI">10.5194/acp-20-3793-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Fang, Y., Ye, C., Wang, J., Wu, Y., Hu, M., Lin, W., Xu, F., and Zhu, T.: Relative humidity and <inline-formula><mml:math id="M693" 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 as two prerequisites for sulfate formation, Atmos. Chem. Phys., 19, 12295–12307, <ext-link xlink:href="https://doi.org/10.5194/acp-19-12295-2019" ext-link-type="DOI">10.5194/acp-19-12295-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Finlayson-Pitts, B. J., Ezell, M. J., and Pitts, J. N.: Formation of
chemically active chlorine compounds by reactions of atmospheric NaCl
particles with gaseous N<inline-formula><mml:math id="M694" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M695" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and ClONO<inline-formula><mml:math id="M696" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, Nature, 337, 241–244,
<ext-link xlink:href="https://doi.org/10.1038/337241a0" ext-link-type="DOI">10.1038/337241a0</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Fountoukis, C. and Nenes, A.: ISORROPIA II: a computationally efficient
thermodynamic equilibrium model for K<inline-formula><mml:math id="M697" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>–Ca<inline-formula><mml:math id="M698" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>–Mg<inline-formula><mml:math id="M699" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>–NH<inline-formula><mml:math id="M700" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula><inline-formula><mml:math id="M701" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>–Na<inline-formula><mml:math id="M702" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>–<inline-formula><mml:math id="M703" 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:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M704" 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:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–Cl<inline-formula><mml:math id="M705" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>–H<inline-formula><mml:math id="M706" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O aerosols, Atmos. Chem. Phys., 7, 4639–4659, <ext-link xlink:href="https://doi.org/10.5194/acp-7-4639-2007" ext-link-type="DOI">10.5194/acp-7-4639-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Fu, X., Wang, T., Gao, J., Wang, P., Liu, Y., Wang, S., Zhao, B., and Xue,
L.: Persistent Heavy Winter Nitrate Pollution Driven by Increased
Photochemical Oxidants in Northern China, Environ. Sci. Technol., 54,
3881–3889, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b07248" ext-link-type="DOI">10.1021/acs.est.9b07248</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Guo, H., Xu, L., Bougiatioti, A., Cerully, K. M., Capps, S. L., Hite Jr., J. R., Carlton, A. G., Lee, S.-H., Bergin, M. H., Ng, N. L., Nenes, A., and Weber, R. J.: Fine-particle water and pH in the southeastern United States, Atmos. Chem. Phys., 15, 5211–5228, <ext-link xlink:href="https://doi.org/10.5194/acp-15-5211-2015" ext-link-type="DOI">10.5194/acp-15-5211-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>
Guo, H., Sullivan, A. P., Campuzano-Jost, P.,
Schroder, J. C., Lopez-Hilfiker, F. D., Dibb, J. E.,
Jimenez, J. L., Thornton, J. A., Brown, S. S., and Nenes, A.: Fine particle
pH and the partitioning of nitric acid during winter in the northeastern
United States, J. Geophys. Res.-Atmos., 121, 10355–10376, 2016.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Guo, H., Otjes, R., Schlag, P., Kiendler-Scharr, A., Nenes, A., and Weber, R. J.: Effectiveness of ammonia reduction on control of fine particle nitrate, Atmos. Chem. Phys., 18, 12241–12256, <ext-link xlink:href="https://doi.org/10.5194/acp-18-12241-2018" ext-link-type="DOI">10.5194/acp-18-12241-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Han, C., Yang, W., Wu, Q., Yang, H., and Xue, X.: Heterogeneous
photochemical conversion of NO<inline-formula><mml:math id="M707" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO on the humic acid surface under
simulated sunlight, Environ. Sci. Technol., 50, 5017–5023, 2016.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>He, P., Xie, Z., Chi, X., Yu, X., Fan, S., Kang, H., Liu, C., and Zhan, H.: Atmospheric <inline-formula><mml:math id="M708" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(NO<inline-formula><mml:math id="M709" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula><inline-formula><mml:math id="M710" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">−</mml:mi></mml:msup></mml:math></inline-formula>) reveals nocturnal chemistry dominates nitrate production in Beijing haze, Atmos. Chem. Phys., 18, 14465–14476, <ext-link xlink:href="https://doi.org/10.5194/acp-18-14465-2018" ext-link-type="DOI">10.5194/acp-18-14465-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Hennigan, C. J., Izumi, J., Sullivan, A. P., Weber, R. J., and Nenes, A.: A critical evaluation of proxy methods used to estimate the acidity of atmospheric particles, Atmos. Chem. Phys., 15, 2775–2790, <ext-link xlink:href="https://doi.org/10.5194/acp-15-2775-2015" ext-link-type="DOI">10.5194/acp-15-2775-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Hua, Y., Cheng, Z., Wang, S., Jiang, J., Chen, D., Cai, S., Fu, X., Fu, Q.,
Chen, C., and Xu, B.: Characteristics and source apportionment of PM<inline-formula><mml:math id="M711" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
during a fall heavy haze episode in the Yangtze River Delta of China, Atmos.
Environ., 123, 380–391, 2015.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>
Huang, R. J., Zhang, Y. L., Bozzetti, C., Ho, K. F., Cao, J. J., Han, Y. M.,
Daellenbach, K. R., Slowik, J. G., Platt, S. M., Canonaco, F., Zotter, P.,
Wolf, R., Pieber, S. M., Bruns, E. A., Crippa, M., Ciarelli, G.,
Piazzalunga, A., Schwikowski, M., Abbaszade, G., Schnelle-Kreis, J.,
Zimmermann, R., An, Z. S., Szidat, S., Baltensperger, U., El Haddad, I., and
Prevot, A. S. H.: High secondary aerosol contribution to particulate
pollution during haze events in China, Nature, 514, 218–222, 2014.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Huang, R. J., He, Y., Duan, J., Li, Y., Chen, Q., Zheng, Y., Chen, Y., Hu, W., Lin, C., Ni, H., Dai, W., Cao, J., Wu, Y., Zhang, R., Xu, W., Ovadnevaite, J., Ceburnis, D., Hoffmann, T., and O'Dowd, C. D.: Contrasting sources and processes of particulate species in haze days with low and high relative humidity in wintertime Beijing, Atmos. Chem. Phys., 20, 9101–9114, <ext-link xlink:href="https://doi.org/10.5194/acp-20-9101-2020" ext-link-type="DOI">10.5194/acp-20-9101-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Huang, X., Ding, A., Gao, J., Zheng, B., Zhou, D., Qi, X., Tang, R., Wang,
J., Ren, C., and Nie, W.: Enhanced secondary pollution offset reduction of
primary emissions during COVID-19 lockdown in China, Natl. Sci. Rev., 8,
nwaa137, <ext-link xlink:href="https://doi.org/10.1093/nsr/nwaa137" ext-link-type="DOI">10.1093/nsr/nwaa137</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Jenkin, M. E., Young, J. C., and Rickard, A. R.: The MCM v3.3.1 degradation scheme for isoprene, Atmos. Chem. Phys., 15, 11433–11459, <ext-link xlink:href="https://doi.org/10.5194/acp-15-11433-2015" ext-link-type="DOI">10.5194/acp-15-11433-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Kleffmann, J., Becker, K., and Wiesen, P.: Heterogeneous NO<inline-formula><mml:math id="M712" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> conversion
processes on acid surfaces: possible atmospheric implications, Atmos.
Environ., 32, 2721–2729, 1998.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>
Kong, L., Yang, Y., Zhang, S., Zhao, X., Du, H., Fu, H., Zhang, S., Cheng,
T., Yang, X., and Chen, J.: Observations of linear dependence between
sulfate and nitrate in atmospheric particles, J. Geophys. Res.-Atmos., 119,
341–361, 2014.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Kong, L., Feng, M., Liu, Y., Zhang, Y., Zhang, C., Li, C., Qu, Y., An, J., Liu, X., Tan, Q., Cheng, N., Deng, Y., Zhai, R., and Wang, Z.: Elucidating the pollution characteristics of nitrate, sulfate and ammonium in PM<inline-formula><mml:math id="M713" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Chengdu, southwest China, based on 3-year measurements, Atmos. Chem. Phys., 20, 11181–11199, <ext-link xlink:href="https://doi.org/10.5194/acp-20-11181-2020" ext-link-type="DOI">10.5194/acp-20-11181-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>
Kurtenbach, R., Becker, K., Gomes, J., Kleffmann, J., Lörzer, J.,
Spittler, M., Wiesen, P., Ackermann, R., Geyer, A., and Platt, U.:
Investigations of emissions and heterogeneous formation of HONO in a road
traffic tunnel, Atmos. Environ., 35, 3385–3394, 2001.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>
Le, T., Wang, Y., Liu, L., Yang, J., Yung, Y. L., Li, G., and Seinfeld, J.
H.: Unexpected air pollution with marked emission reductions during the
COVID-19 outbreak in China, Science, 369, 702–706, 2020.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Lee, Y.-N. and Schwartz, S. E.: Kinetics of Oxidation of Aqueous Sulfur (IV) by Nitrogen Dioxide, in: Precipitation Scavenging, Dry Deposition, and Resuspension. Volume 1: Precipitation Scavenging, edited by: Pruppacher, H. R., Semonin, R. G., and Slinn, W. G., Elsevier, New York, Amsterdam, Oxford, 453–470, <uri>https://www.bnl.gov/envsci/schwartz/pubs/Lee83NO2S(IV)c.pdf</uri> (last access: 8 August 2021), 1983.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>
Lelieveld, J., Evans, J. S., Fnais, M., Giannadaki, D., and Pozzer, A.: The
contribution of outdoor air pollution sources to premature mortality on a
global scale, Nature, 525, 367–370, 2015.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Li, H., Zhang, Q., Zheng, B., Chen, C., Wu, N., Guo, H., Zhang, Y., Zheng, Y., Li, X., and He, K.: Nitrate-driven urban haze pollution during summertime over the North China Plain, Atmos. Chem. Phys., 18, 5293–5306, <ext-link xlink:href="https://doi.org/10.5194/acp-18-5293-2018" ext-link-type="DOI">10.5194/acp-18-5293-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Li, H., Cheng, J., Zhang, Q., Zheng, B., Zhang, Y., Zheng, G., and He, K.: Rapid transition in winter aerosol composition in Beijing from 2014 to 2017: response to clean air actions, Atmos. Chem. Phys., 19, 11485–11499, <ext-link xlink:href="https://doi.org/10.5194/acp-19-11485-2019" ext-link-type="DOI">10.5194/acp-19-11485-2019</ext-link>, 2019a.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>
Li, K., Jacob, D. J., Liao, H., Zhu, J., Shah, V., Shen, L., Bates, K. H.,
Zhang, Q., and Zhai, S.: A two-pollutant strategy for improving ozone and
particulate air quality in China, Nat. Geosci., 12, 906–910, 2019b.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>
Li, M., Wang, T., Xie, M., Li, S., Zhuang, B., Huang, X., Chen, P., Zhao,
M., and Liu, J.: Formation and evolution mechanisms for two extreme haze
episodes in the Yangtze River Delta region of China during winter 2016, J.
Geophys. Res.-Atmos., 124, 3607–3623, 2019c.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Lin, Y.-C., Zhang, Y.-L., Fan, M.-Y., and Bao, M.: Heterogeneous formation of particulate nitrate under ammonium-rich regimes during the high-PM<inline-formula><mml:math id="M714" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> events in Nanjing, China, Atmos. Chem. Phys., 20, 3999–4011, <ext-link xlink:href="https://doi.org/10.5194/acp-20-3999-2020" ext-link-type="DOI">10.5194/acp-20-3999-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Liu, L., Zhang, J., Du, R., Teng, X., Hu, R., Yuan, Q., Tang, S., Ren, C.,
Huang, X., and Xu, L.: Chemistry of atmospheric fine particles during the
COVID-19 pandemic in a megacity of Eastern China, Geophys. Res. Lett., 48,
2020GL091611, <ext-link xlink:href="https://doi.org/10.1029/2020GL091611" ext-link-type="DOI">10.1029/2020GL091611</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Liu, P., Ye, C., Xue, C., Zhang, C., Mu, Y., and Sun, X.: Formation mechanisms of atmospheric nitrate and sulfate during the winter haze pollution periods in Beijing: gas-phase, heterogeneous and aqueous-phase chemistry, Atmos. Chem. Phys., 20, 4153–4165, <ext-link xlink:href="https://doi.org/10.5194/acp-20-4153-2020" ext-link-type="DOI">10.5194/acp-20-4153-2020</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Liu, Y. and Wang, T.: Worsening urban ozone pollution in China from 2013 to 2017 – Part 1: The complex and varying roles of meteorology, Atmos. Chem. Phys., 20, 6305–6321, <ext-link xlink:href="https://doi.org/10.5194/acp-20-6305-2020" ext-link-type="DOI">10.5194/acp-20-6305-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>
Liu, Y., Lu, K., Ma, Y., Yang, X., Zhang, W., Wu, Y., Peng, J., Shuai, S.,
Hu, M., and Zhang, Y.: Direct emission of nitrous acid (HONO) from gasoline
cars in China determined by vehicle chassis dynamometer experiments, Atmos.
Environ., 169, 89–96, 2017.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Liu, Y., Lu, K., Li, X., Dong, H., Tan, Z., Wang, H., Zou, Q., Wu, Y., Zeng,
L., Hu, M., Min, K. E., Kecorius, S., Wiedensohler, A., and Zhang, Y.: A
Comprehensive Model Test of the HONO Sources Constrained to Field
Measurements at Rural North China Plain, Environ. Sci. Technol., 53,
3517–3525, <ext-link xlink:href="https://doi.org/10.1021/acs.est.8b06367" ext-link-type="DOI">10.1021/acs.est.8b06367</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Liu, Y., Zhang, Y., Lian, C., Yan, C., Feng, Z., Zheng, F., Fan, X., Chen, Y., Wang, W., Chu, B., Wang, Y., Cai, J., Du, W., Daellenbach, K. R., Kangasluoma, J., Bianchi, F., Kujansuu, J., Petäjä, T., Wang, X., Hu, B., Wang, Y., Ge, M., He, H., and Kulmala, M.: The promotion effect of nitrous acid on aerosol formation in wintertime in Beijing: the possible contribution of traffic-related emissions, Atmos. Chem. Phys., 20, 13023–13040, <ext-link xlink:href="https://doi.org/10.5194/acp-20-13023-2020" ext-link-type="DOI">10.5194/acp-20-13023-2020</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Lu, K. D., Fuchs, H., Hofzumahaus, A., Tan, Z. F., Wang, H. C., Zhang, L.,
Schmitt, S. H., Rohrer, F., Bohn, B., Broch, S., Dong, H. B., Gkatzelis, G.
I., Hohaus, T., Holland, F., Li, X., Liu, Y., Liu, Y. H., Ma, X. F.,
Novelli, A., Schlag, P., Shao, M., Wu, Y. S., Wu, Z. J., Zeng, L. M., Hu,
M., Kiendler-Scharr, A., Wahner, A., and Zhang, Y. H.: Fast Photochemistry
in Wintertime Haze: Consequences for Pollution Mitigation Strategies,
Environ. Sci. Technol., 53, 10676–10684, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b02422" ext-link-type="DOI">10.1021/acs.est.9b02422</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>
Lu, X., Hong, J., Zhang, L., Cooper, O. R., Schultz, M. G., Xu, X., Wang,
T., Gao, M., Zhao, Y., and Zhang, Y.: Severe surface ozone pollution in
China: a global perspective, Environ. Sci. Technol. Lett., 5, 487–494, 2018.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>McDuffie, E. E., Womack, C. C., Fibiger, D. L., Dube, W. P., Franchin, A., Middlebrook, A. M., Goldberger, L., Lee, B. H., Thornton, J. A., Moravek, A., Murphy, J. G., Baasandorj, M., and Brown, S. S.: On the contribution of nocturnal heterogeneous reactive nitrogen chemistry to particulate matter formation during wintertime pollution events in Northern Utah, Atmos. Chem. Phys., 19, 9287–9308, <ext-link xlink:href="https://doi.org/10.5194/acp-19-9287-2019" ext-link-type="DOI">10.5194/acp-19-9287-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Mozurkewich, M. and Calvert, J. G.: Reaction probability of N<inline-formula><mml:math id="M715" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M716" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
on aqueous aerosols, J. Geophys. Res.-Atmos., 93, 15889–15896, 1988.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Peng, J. F., Hu, M., Shang, D. J., Wu, Z. J., Du, Z. F., Tan, T. Y., Wang,
Y. N., Zhang, F., and Zhang, R. Y.: Explosive Secondary Aerosol Formation
during Severe Haze in the North China Plain, Environ. Sci. Technol., 55,
2189–2207, <ext-link xlink:href="https://doi.org/10.1021/acs.est.0c07204" ext-link-type="DOI">10.1021/acs.est.0c07204</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Romer, P. S., Wooldridge, P. J., Crounse, J. D., Kim, M. J., Wennberg, P.
O., Dibb, J. E., Scheuer, E., Blake, D. R., Meinardi, S., and Brosius, A.
L.: Constraints on Aerosol Nitrate Photolysis as a Potential Source of HONO
and NO<inline-formula><mml:math id="M717" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, Environ. Sci. Technol., 52, 13738–13746, 2018.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Schweitzer, F., Mirabel, P., and George, C.: Multiphase chemistry of
N<inline-formula><mml:math id="M718" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M719" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, ClNO<inline-formula><mml:math id="M720" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and BrNO<inline-formula><mml:math id="M721" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, J. Phys. Chem. A, 102,
3942–3952, <ext-link xlink:href="https://doi.org/10.1021/jp980748s" ext-link-type="DOI">10.1021/jp980748s</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Shao, P. Y., Tian, H. Z., Sun, Y. J., Liu, H. J., Wu, B. B., Liu, S. H.,
Liu, X. Y., Wu, Y. M., Liang, W. Z., Wang, Y., Gao, J. J., Xue, Y. F., Bai,
X. X., Liu, W., Lin, S. M., and Hu, G. Z.: Characterizing remarkable changes
of severe haze events and chemical compositions in multi-size airborne
particles (PM<inline-formula><mml:math id="M722" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M723" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M724" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>) from January 2013 to
2016-2017 winter in Beijing, China, Atmos. Environ., 189, 133–144, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.06.038" ext-link-type="DOI">10.1016/j.atmosenv.2018.06.038</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Shen, J., Zhao, Q., Cheng, Z., Wang, P., Ying, Q., Liu, J., Duan, Y., and
Fu, Q.: Insights into source origins and formation mechanisms of nitrate
during winter haze episodes in the Yangtze River Delta, Sci. Total.
Environ., 741, 140187, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.140187" ext-link-type="DOI">10.1016/j.scitotenv.2020.140187</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>Slater, E. J., Whalley, L. K., Woodward-Massey, R., Ye, C., Lee, J. D., Squires, F., Hopkins, J. R., Dunmore, R. E., Shaw, M., Hamilton, J. F., Lewis, A. C., Crilley, L. R., Kramer, L., Bloss, W., Vu, T., Sun, Y., Xu, W., Yue, S., Ren, L., Acton, W. J. F., Hewitt, C. N., Wang, X., Fu, P., and Heard, D. E.: Elevated levels of OH observed in haze events during wintertime in central Beijing, Atmos. Chem. Phys., 20, 14847–14871, <ext-link xlink:href="https://doi.org/10.5194/acp-20-14847-2020" ext-link-type="DOI">10.5194/acp-20-14847-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Su, X., Tie, X., Li, G., Cao, J., Huang, R., Feng, T., Long, X., and Xu, R.:
Effect of hydrolysis of N<inline-formula><mml:math id="M725" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M726" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> on nitrate and ammonium formation in
Beijing China: WRF-Chem model simulation, Sci. Total. Environ., 579,
221–229, 2017.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Sun, P., Nie, W., Chi, X., Xie, Y., Huang, X., Xu, Z., Qi, X., Xu, Z., Wang, L., Wang, T., Zhang, Q., and Ding, A.: Two years of online measurement of fine particulate nitrate in the western Yangtze River Delta: influences of thermodynamics and <inline-formula><mml:math id="M727" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hydrolysis, Atmos. Chem. Phys., 18, 17177–17190, <ext-link xlink:href="https://doi.org/10.5194/acp-18-17177-2018" ext-link-type="DOI">10.5194/acp-18-17177-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>Tan, Z., Fuchs, H., Lu, K., Hofzumahaus, A., Bohn, B., Broch, S., Dong, H., Gomm, S., Häseler, R., He, L., Holland, F., Li, X., Liu, Y., Lu, S., Rohrer, F., Shao, M., Wang, B., Wang, M., Wu, Y., Zeng, L., Zhang, Y., Wahner, A., and Zhang, Y.: Radical chemistry at a rural site (Wangdu) in the North China Plain: observation and model calculations of OH, <inline-formula><mml:math id="M728" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M729" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radicals, Atmos. Chem. Phys., 17, 663–690, <ext-link xlink:href="https://doi.org/10.5194/acp-17-663-2017" ext-link-type="DOI">10.5194/acp-17-663-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Tao, J., Zhang, L., Cao, J., and Zhang, R.: A review of current knowledge concerning PM<inline-formula><mml:math id="M730" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chemical composition, aerosol optical properties and their relationships across China, Atmos. Chem. Phys., 17, 9485–9518, <ext-link xlink:href="https://doi.org/10.5194/acp-17-9485-2017" ext-link-type="DOI">10.5194/acp-17-9485-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Tao, Y., Ye, X., Ma, Z., Xie, Y., Wang, R., Chen, J., Yang, X., and Jiang,
S.: Insights into different nitrate formation mechanisms from seasonal
variations of secondary inorganic aerosols in Shanghai, Atmos. Environ.,
145, 1–9, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2016.09.012" ext-link-type="DOI">10.1016/j.atmosenv.2016.09.012</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Thornton, J. A. and Abbatt, J. P. D.: N<inline-formula><mml:math id="M731" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M732" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> reaction on submicron
sea salt aerosol: Kinetics, products, and the effect of surface active
organics, J. Phys. Chem. A, 109, 10004–10012, <ext-link xlink:href="https://doi.org/10.1021/jp054183t" ext-link-type="DOI">10.1021/jp054183t</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>Tian, J., Wang, Q., Zhang, Y., Yan, M., Liu, H., Zhang, N., Ran, W., and
Cao, J.: Impacts of primary emissions and secondary aerosol formation on air
pollution in an urban area of China during the COVID-19 lockdown, Environ.
Int., 150, 106426, <ext-link xlink:href="https://doi.org/10.1016/j.envint.2021.106426" ext-link-type="DOI">10.1016/j.envint.2021.106426</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Trinh, H. T., Imanishi, K., Morikawa, T., Hagino, H., and Takenaka, N.:
Gaseous nitrous acid (HONO) and nitrogen oxides (NO<inline-formula><mml:math id="M733" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) emission from gasoline
and diesel vehicles under real-world driving test cycles, J. Air. Waste.
Manage., 67, 412–420, 2017.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>von Schneidemesser, E., Monks, P. S., Allan, J. D., Bruhwiler, L., Forster,
P., Fowler, D., Lauer, A., Morgan, W. T., Paasonen, P., Righi, M.,
Sindelarova, K., and Sutton, M. A.: Chemistry and the Linkages between Air
Quality and Climate Change, Chem. Rev., 115, 3856–3897, <ext-link xlink:href="https://doi.org/10.1021/acs.chemrev.5b00089" ext-link-type="DOI">10.1021/acs.chemrev.5b00089</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Wagner, N., Riedel, T., Young, C., Bahreini, R., Brock, C., Dubé, W.,
Kim, S., Middlebrook, A., Öztürk, F., and Roberts, J.:
N<inline-formula><mml:math id="M734" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M735" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> uptake coefficients and nocturnal NO<inline-formula><mml:math id="M736" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> removal rates
determined from ambient wintertime measurements, J. Geophys. Res.-Atmos.,
118, 9331–9350, 2013.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>Wang, H., Lu, K., Chen, X., Zhu, Q., Chen, Q., Guo, S., Jiang, M., Li, X.,
Shang, D., Tan, Z., Wu, Y., Wu, Z., Zou, Q., Zheng, Y., Zeng, L., Zhu, T.,
Hu, M., and Zhang, Y.: High N<inline-formula><mml:math id="M737" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M738" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> Concentrations Observed in Urban
Beijing: Implications of a Large Nitrate Formation Pathway, Environ. Sci.
Technol. Lett., 4, 416–420, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.7b00341" ext-link-type="DOI">10.1021/acs.estlett.7b00341</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Wang, J., Li, J., Ye, J., Zhao, J., Wu, Y., Hu, J., Liu, D., Nie, D., Shen,
F., Huang, X., Huang, D. D., Ji, D., Sun, X., Xu, W., Guo, J., Song, S.,
Qin, Y., Liu, P., Turner, J. R., Lee, H. C., Hwang, S., Liao, H., Martin, S.
T., Zhang, Q., Chen, M., Sun, Y., Ge, X., and Jacob, D. J.: Fast sulfate
formation from oxidation of SO<inline-formula><mml:math id="M739" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by NO<inline-formula><mml:math id="M740" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HONO observed in
Beijing haze, Nat. Commun., 11, 2844, <ext-link xlink:href="https://doi.org/10.1038/s41467-020-16683-x" ext-link-type="DOI">10.1038/s41467-020-16683-x</ext-link>,
2020a.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Wang, W., Yu, J., Cui, Y., He, J., Xue, P., Cao, W., Ying, H., Gao, W., Yan,
Y., Hu, B., Xin, J., Wang, L., Liu, Z., Sun, Y., Ji, D., and Wang, Y.:
Characteristics of fine particulate matter and its sources in an
industrialized coastal city, Ningbo, Yangtze River Delta, China, Atmos.
Res., 203, 105–117, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2017.11.033" ext-link-type="DOI">10.1016/j.atmosres.2017.11.033</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>
Wang, Y., Zhang, R., and Saravanan, R.: Asian pollution climatically
modulates mid-latitude cyclones following hierarchical modelling and
observational analysis, Nat. Commun., 5, 1–7, 2014.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>Wang, Y., Chen, Y., Wu, Z., Shang, D., Bian, Y., Du, Z., Schmitt, S. H., Su, R., Gkatzelis, G. I., Schlag, P., Hohaus, T., Voliotis, A., Lu, K., Zeng, L., Zhao, C., Alfarra, M. R., McFiggans, G., Wiedensohler, A., Kiendler-Scharr, A., Zhang, Y., and Hu, M.: Mutual promotion between aerosol particle liquid water and particulate nitrate enhancement leads to severe nitrate-dominated particulate matter pollution and low visibility, Atmos. Chem. Phys., 20, 2161–2175, <ext-link xlink:href="https://doi.org/10.5194/acp-20-2161-2020" ext-link-type="DOI">10.5194/acp-20-2161-2020</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>
Wayne, R. P., Barnes, I., Biggs, P., Burrows, J., Canosa-Mas, C., Hjorth,
J., Le Bras, G., Moortgat, G., Perner, D., and Poulet, G.: The nitrate
radical: Physics, chemistry, and the atmosphere, Atmos. Environ. A-Gen., 25, 1–203, 1991.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>
Wen, L., Chen, J., Yang, L., Wang, X., Xu, C., Sui, X., Yao, L., Zhu, Y.,
Zhang, J., and Zhu, T.: Enhanced formation of fine particulate nitrate at a
rural site on the North China Plain in summer: The important roles of
ammonia and ozone, Atmos. Environ., 101, 294–302, 2015.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>Wen, L., Xue, L., Wang, X., Xu, C., Chen, T., Yang, L., Wang, T., Zhang, Q., and Wang, W.: Summertime fine particulate nitrate pollution in the North China Plain: increasing trends, formation mechanisms and implications for control policy, Atmos. Chem. Phys., 18, 11261–11275, <ext-link xlink:href="https://doi.org/10.5194/acp-18-11261-2018" ext-link-type="DOI">10.5194/acp-18-11261-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 1?><mixed-citation>Wolfe, G. M., Marvin, M. R., Roberts, S. J., Travis, K. R., and Liao, J.: The Framework for 0-D Atmospheric Modeling (F0AM) v3.1, Geosci. Model Dev., 9, 3309–3319, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-3309-2016" ext-link-type="DOI">10.5194/gmd-9-3309-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><?label 1?><mixed-citation>Wong, K. W., Oh, H.-J., Lefer, B. L., Rappenglück, B., and Stutz, J.: Vertical profiles of nitrous acid in the nocturnal urban atmosphere of Houston, TX, Atmos. Chem. Phys., 11, 3595–3609, <ext-link xlink:href="https://doi.org/10.5194/acp-11-3595-2011" ext-link-type="DOI">10.5194/acp-11-3595-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib77"><label>77</label><?label 1?><mixed-citation>Wong, K. W., Tsai, C., Lefer, B., Grossberg, N., and Stutz, J.: Modeling of daytime HONO vertical gradients during SHARP 2009, Atmos. Chem. Phys., 13, 3587–3601, <ext-link xlink:href="https://doi.org/10.5194/acp-13-3587-2013" ext-link-type="DOI">10.5194/acp-13-3587-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><?label 1?><mixed-citation>
Xie, Y., Ding, A., Nie, W., Mao, H., Qi, X., Huang, X., Xu, Z., Kerminen, V.
M., Petäjä, T., and Chi, X.: Enhanced sulfate formation by nitrogen
dioxide: Implications from in situ observations at the SORPES station, J.
Geophys. Res.-Atmos., 120, 12679–12694, 2015.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><?label 1?><mixed-citation>Xie, Y., Wang, G., Wang, X., Chen, J., Chen, Y., Tang, G., Wang, L., Ge, S., Xue, G., Wang, Y., and Gao, J.: Nitrate-dominated PM<inline-formula><mml:math id="M741" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and elevation of particle pH observed in urban Beijing during the winter of 2017, Atmos. Chem. Phys., 20, 5019–5033, <ext-link xlink:href="https://doi.org/10.5194/acp-20-5019-2020" ext-link-type="DOI">10.5194/acp-20-5019-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><?label 1?><mixed-citation>Xu, Q., Wang, S., Jiang, J., Bhattarai, N., Li, X., Chang, X., Qiu, X.,
Zheng, M., Hua, Y., and Hao, J.: Nitrate dominates the chemical composition
of PM<inline-formula><mml:math id="M742" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during haze event in Beijing, China, Sci. Total. Environ.,
689, 1293–1303, 2019.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><?label 1?><mixed-citation>Xue, C., Zhang, C., Ye, C., Liu, P., Catoire, V., Krysztofiak, G., Chen, H.,
Ren, Y., Zhao, X., Wang, J., Zhang, F., Zhang, C., Zhang, J., An, J., Wang,
T., Chen, J., Kleffmann, J., Mellouki, A., and Mu, Y.: HONO Budget and Its
Role in Nitrate Formation in the Rural North China Plain, Environ. Sci.
Technol., 54, 11048–11057, <ext-link xlink:href="https://doi.org/10.1021/acs.est.0c01832" ext-link-type="DOI">10.1021/acs.est.0c01832</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><?label 1?><mixed-citation>
Yang, G., Liu, Y., and Li, X.: Spatiotemporal distribution of ground-level
ozone in China at a city level, Sci. Rep., 10, 1–12, 2020.</mixed-citation></ref>
      <ref id="bib1.bib83"><label>83</label><?label 1?><mixed-citation>
Ye, C., Zhou, X., Pu, D., Stutz, J., Festa, J., Spolaor, M., Tsai, C.,
Cantrell, C., Mauldin, R. L., and Campos, T.: Rapid cycling of reactive
nitrogen in the marine boundary layer, Nature, 532, 489–491, 2016.</mixed-citation></ref>
      <ref id="bib1.bib84"><label>84</label><?label 1?><mixed-citation>
Ye, S., Ma, T., Duan, F., Li, H., He, K., Xia, J., Yang, S., Zhu, L., Ma,
Y., and Huang, T.: Characteristics and formation mechanisms of winter haze
in Changzhou, a highly polluted industrial city in the Yangtze River Delta,
China, Environ. Pollut., 253, 377–383, 2019.</mixed-citation></ref>
      <ref id="bib1.bib85"><label>85</label><?label 1?><mixed-citation>Ye, Z., Liu, J., Gu, A., Feng, F., Liu, Y., Bi, C., Xu, J., Li, L., Chen, H., Chen, Y., Dai, L., Zhou, Q., and Ge, X.: Chemical characterization of fine particulate matter in Changzhou, China, and source apportionment with offline aerosol mass spectrometry, Atmos. Chem. Phys., 17, 2573–2592, <ext-link xlink:href="https://doi.org/10.5194/acp-17-2573-2017" ext-link-type="DOI">10.5194/acp-17-2573-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib86"><label>86</label><?label 1?><mixed-citation>Yu, C., Wang, Z., Xia, M., Fu, X., Wang, W., Tham, Y. J., Chen, T., Zheng, P., Li, H., Shan, Y., Wang, X., Xue, L., Zhou, Y., Yue, D., Ou, Y., Gao, J., Lu, K., Brown, S. S., Zhang, Y., and Wang, T.: Heterogeneous <inline-formula><mml:math id="M743" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions on atmospheric aerosols at four Chinese sites: improving model representation of uptake parameters, Atmos. Chem. Phys., 20, 4367–4378, <ext-link xlink:href="https://doi.org/10.5194/acp-20-4367-2020" ext-link-type="DOI">10.5194/acp-20-4367-2020</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bib87"><label>87</label><?label 1?><mixed-citation>Yu, Y., Xu, H., Jiang, Y., Chen, F., and Liu, D.: A modeling study of
PM<inline-formula><mml:math id="M744" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> transboundary transport during a winter severe haze episode in
southern Yangtze River Delta, China, Atmos. Res., 248, 105159, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2020.105159" ext-link-type="DOI">10.1016/j.atmosres.2020.105159</ext-link>, 2020b.</mixed-citation></ref>
      <ref id="bib1.bib88"><label>88</label><?label 1?><mixed-citation>Yun, H., Wang, W., Wang, T., Xia, M., Yu, C., Wang, Z., Poon, S. C. N., Yue, D., and Zhou, Y.: Nitrate formation from heterogeneous uptake of dinitrogen pentoxide during a severe winter haze in southern China, Atmos. Chem. Phys., 18, 17515–17527, <ext-link xlink:href="https://doi.org/10.5194/acp-18-17515-2018" ext-link-type="DOI">10.5194/acp-18-17515-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib89"><label>89</label><?label 1?><mixed-citation>Zare, A., Romer, P. S., Nguyen, T., Keutsch, F. N., Skog, K., and Cohen, R. C.: A comprehensive organic nitrate chemistry: insights into the lifetime of atmospheric organic nitrates, Atmos. Chem. Phys., 18, 15419–15436, <ext-link xlink:href="https://doi.org/10.5194/acp-18-15419-2018" ext-link-type="DOI">10.5194/acp-18-15419-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib90"><label>90</label><?label 1?><mixed-citation>Zhai, S., Jacob, D. J., Wang, X., Liu, Z., Wen, T., Shah, V., Li, K., Moch,
J. M., Bates, K. H., Song, S., Shen, L., Zhang, Y., Luo, G., Yu, F., Sun,
Y., Wang, L., Qi, M., Tao, J., Gui, K., Xu, H., Zhang, Q., Zhao, T., Wang,
Y., Lee, H. C., Choi, H., and Liao, H.: Control of particulate nitrate air
pollution in China, Nat. Geosci., 14, 389–395, <ext-link xlink:href="https://doi.org/10.1038/s41561-021-00726-z" ext-link-type="DOI">10.1038/s41561-021-00726-z</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib91"><label>91</label><?label 1?><mixed-citation>Zhang, Q., Zheng, Y. X., Tong, D., Shao, M., Wang, S. X., Zhang, Y. H., Xu,
X. D., Wang, J. N., He, H., Liu, W. Q., Ding, Y. H., Lei, Y., Li, J. H.,
Wang, Z. F., Zhang, X. Y., Wang, Y. S., Cheng, J., Liu, Y., Shi, Q. R., Yan,
L., Geng, G. N., Hong, C. P., Li, M., Liu, F., Zheng, B., Cao, J. J., Ding,
A. J., Gao, J., Fu, Q. Y., Huo, J. T., Liu, B. X., Liu, Z. R., Yang, F. M.,
He, K. B., and Hao, J. M.: Drivers of improved PM<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> air quality in
China from 2013 to 2017, Proc. Natl. Acad. Sci. USA, 116, 24463–24469,
<ext-link xlink:href="https://doi.org/10.1073/pnas.1907956116" ext-link-type="DOI">10.1073/pnas.1907956116</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib92"><label>92</label><?label 1?><mixed-citation>Zhang, T., Shen, Z., Su, H., Liu, S., Zhou, J., Zhao, Z., Wang, Q.,
Prévôt, A., and Cao, J.: Effects of Aerosol Water Content on the
formation of secondary inorganic aerosol during a Winter Heavy PM<inline-formula><mml:math id="M746" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
Pollution Episode in Xi'an, China, Atmos. Environ., 252, 118304, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2021.118304" ext-link-type="DOI">10.1016/j.atmosenv.2021.118304</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bib93"><label>93</label><?label 1?><mixed-citation>Zhang, Y.-L. and Cao, F.: Fine particulate matter (PM<inline-formula><mml:math id="M747" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in China at
a city level, Sci. Rep., 5, 1–12, 2015.</mixed-citation></ref>
      <ref id="bib1.bib94"><label>94</label><?label 1?><mixed-citation>Zhao, P. S., Dong, F., He, D., Zhao, X. J., Zhang, X. L., Zhang, W. Z., Yao, Q., and Liu, H. Y.: Characteristics of concentrations and chemical compositions for PM<inline-formula><mml:math id="M748" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in the region of Beijing, Tianjin, and Hebei, China, Atmos. Chem. Phys., 13, 4631–4644, <ext-link xlink:href="https://doi.org/10.5194/acp-13-4631-2013" ext-link-type="DOI">10.5194/acp-13-4631-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib95"><label>95</label><?label 1?><mixed-citation>Zhao, Q., Huo, J., Yang, X., Fu, Q., Duan, Y., Liu, Y., Lin, Y., and Zhang,
Q.: Chemical characterization and source identification of submicron
aerosols from a year-long real-time observation at a rural site of Shanghai
using an Aerosol Chemical Speciation Monitor, Atmos. Res., 246, 105154, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2020.105154" ext-link-type="DOI">10.1016/j.atmosres.2020.105154</ext-link>, 2020a.</mixed-citation></ref>
      <ref id="bib1.bib96"><label>96</label><?label 1?><mixed-citation>Zhao, Y. B., Zhang, K., Xu, X. T., Shen, H. Z., Zhu, X., Zhang, Y. X., Hu,
Y. T., and Shen, G. F.: Substantial Changes in Nitrogen Dioxide and Ozone
after Excluding Meteorological Impacts during the COVID-19 Outbreak in
Mainland China, Environ. Sci. Technol. Lett., 7, 402–408, 2020b.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib97"><label>97</label><?label 1?><mixed-citation>Zheng, B., Tong, D., Li, M., Liu, F., Hong, C., Geng, G., Li, H., Li, X., Peng, L., Qi, J., Yan, L., Zhang, Y., Zhao, H., Zheng, Y., He, K., and Zhang, Q.: Trends in China's anthropogenic emissions since 2010 as the consequence of clean air actions, Atmos. Chem. Phys., 18, 14095–14111, <ext-link xlink:href="https://doi.org/10.5194/acp-18-14095-2018" ext-link-type="DOI">10.5194/acp-18-14095-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib98"><label>98</label><?label 1?><mixed-citation>Zheng, H., Kong, S., Chen, N., Yan, Y., Liu, D., Zhu, B., Xu, K., Cao, W.,
Ding, Q., Lan, B., Zhang, Z., Zheng, M., Fan, Z., Cheng, Y., Zheng, S., Yao,
L., Bai, Y., Zhao, T., and Qi, S.: Significant changes in the chemical
compositions and sources of PM<inline-formula><mml:math id="M749" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Wuhan since the city lockdown as
COVID-19, Sci. Total. Environ., 739, 140000, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2020.140000" ext-link-type="DOI">10.1016/j.scitotenv.2020.140000</ext-link>, 2020.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib99"><label>99</label><?label 1?><mixed-citation>Zhong, H., Huang, R.-J., Chang, Y., Duan, J., Lin, C., and Chen, Y.:
Enhanced formation of secondary organic aerosol from photochemical oxidation
during the COVID-19 lockdown in a background site in Northwest China, Sci.
Total. Environ., 778, 144947, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2021.144947" ext-link-type="DOI">10.1016/j.scitotenv.2021.144947</ext-link>, 2021.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>High atmospheric oxidation capacity drives wintertime nitrate pollution in the eastern Yangtze River Delta of China</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Alexander, B., Sherwen, T., Holmes, C. D., Fisher, J. A., Chen, Q., Evans, M. J., and Kasibhatla, P.: Global inorganic nitrate production mechanisms: comparison of a global model with nitrate isotope observations, Atmos. Chem. Phys., 20, 3859–3877, <a href="https://doi.org/10.5194/acp-20-3859-2020" target="_blank">https://doi.org/10.5194/acp-20-3859-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
An, J., Huang, Y., Huang, C., Wang, X., Yan, R., Wang, Q., Wang, H., Jing, S., Zhang, Y., Liu, Y., Chen, Y., Xu, C., Qiao, L., Zhou, M., Zhu, S., Hu, Q., Lu, J., and Chen, C.: Emission inventory of air pollutants and chemical speciation for specific anthropogenic sources based on local measurements in the Yangtze River Delta region, China, Atmos. Chem. Phys., 21, 2003–2025, <a href="https://doi.org/10.5194/acp-21-2003-2021" target="_blank">https://doi.org/10.5194/acp-21-2003-2021</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Atkinson, R., and Arey, J.: Atmospheric degradation of volatile organic
compounds, Chem. Rev., 103, 4605–4638, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Bertram, T. H. and Thornton, J. A.: Toward a general parameterization of N<sub>2</sub>O<sub>5</sub> reactivity on aqueous particles: the competing effects of particle liquid water, nitrate and chloride, Atmos. Chem. Phys., 9, 8351–8363, <a href="https://doi.org/10.5194/acp-9-8351-2009" target="_blank">https://doi.org/10.5194/acp-9-8351-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Bertram, T. H., Thornton, J. A., Riedel, T. P., Middlebrook, A. M.,
Bahreini, R., Bates, T. S., Quinn, P. K., and Coffman, D. J.: Direct
observations of N<sub>2</sub>O<sub>5</sub> reactivity on ambient aerosol particles,
Geophys. Res. Lett., 36, L19803, <a href="https://doi.org/10.1029/2009GL040248" target="_blank">https://doi.org/10.1029/2009GL040248</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Brown, S. S. and Stutz, J.: Nighttime radical observations and chemistry,
Chem. Soc. Rev., 41, 6405–6447, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Calvert, J. G. and Stockwell, W. R.: Acid generation in the troposphere by
gas-phase chemistry, Environ. Sci. Technol., 17, 428–443, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Chan, Y. C., Evans, M. J., He, P., Holmes, C. D., Jaeglé, L.,
Kasibhatla, P., Liu, X. Y., Sherwen, T., Thornton, J. A., Wang, X., Xie, Z.,
Zhai, S., and Alexander, B.: Heterogeneous Nitrate Production Mechanisms in
Intense Haze Events in the North China Plain, J. Geophys. Res.-Atmos., 126, e2021JD034688,
<a href="https://doi.org/10.1029/2021jd034688" target="_blank">https://doi.org/10.1029/2021jd034688</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Chen, X., Wang, H., Liu, Y., Su, R., Wang, H., Lou, S., and Lu, K.: Spatial
characteristics of the nighttime oxidation capacity in the Yangtze River
Delta, China, Atmos. Environ., 208, 150–157, <a href="https://doi.org/10.1016/j.atmosenv.2019.04.012" target="_blank">https://doi.org/10.1016/j.atmosenv.2019.04.012</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Chen, X., Wang, H., Lu, K., Li, C., Zhai, T., Tan, Z., Ma, X., Yang, X.,
Liu, Y., Chen, S., Dong, H., Li, X., Wu, Z., Hu, M., Zeng, L., and Zhang,
Y.: Field Determination of Nitrate Formation Pathway in Winter Beijing,
Environ. Sci. Technol., 54, 9243–9253, <a href="https://doi.org/10.1021/acs.est.0c00972" target="_blank">https://doi.org/10.1021/acs.est.0c00972</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Ding, A., Huang, X., Nie, W., Chi, X., Xu, Z., Zheng, L., Xu, Z., Xie, Y., Qi, X., Shen, Y., Sun, P., Wang, J., Wang, L., Sun, J., Yang, X.-Q., Qin, W., Zhang, X., Cheng, W., Liu, W., Pan, L., and Fu, C.: Significant reduction of PM<sub>2.5</sub> in eastern China due to regional-scale emission control: evidence from SORPES in 2011–2018, Atmos. Chem. Phys., 19, 11791–11801, <a href="https://doi.org/10.5194/acp-19-11791-2019" target="_blank">https://doi.org/10.5194/acp-19-11791-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Ding, A. J., Fu, C. B., Yang, X. Q., Sun, J. N., Zheng, L. F., Xie, Y. N., Herrmann, E., Nie, W., Petäjä, T., Kerminen, V.-M., and Kulmala, M.: Ozone and fine particle in the western Yangtze River Delta: an overview of 1&thinsp;yr data at the SORPES station, Atmos. Chem. Phys., 13, 5813–5830, <a href="https://doi.org/10.5194/acp-13-5813-2013" target="_blank">https://doi.org/10.5194/acp-13-5813-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Duan, J., Huang, R.-J., Li, Y., Chen, Q., Zheng, Y., Chen, Y., Lin, C., Ni, H., Wang, M., Ovadnevaite, J., Ceburnis, D., Chen, C., Worsnop, D. R., Hoffmann, T., O'Dowd, C., and Cao, J.: Summertime and wintertime atmospheric processes of secondary aerosol in Beijing, Atmos. Chem. Phys., 20, 3793–3807, <a href="https://doi.org/10.5194/acp-20-3793-2020" target="_blank">https://doi.org/10.5194/acp-20-3793-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Fang, Y., Ye, C., Wang, J., Wu, Y., Hu, M., Lin, W., Xu, F., and Zhu, T.: Relative humidity and O<sub>3</sub> concentration as two prerequisites for sulfate formation, Atmos. Chem. Phys., 19, 12295–12307, <a href="https://doi.org/10.5194/acp-19-12295-2019" target="_blank">https://doi.org/10.5194/acp-19-12295-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Finlayson-Pitts, B. J., Ezell, M. J., and Pitts, J. N.: Formation of
chemically active chlorine compounds by reactions of atmospheric NaCl
particles with gaseous N<sub>2</sub>O<sub>5</sub> and ClONO<sub>2</sub>, Nature, 337, 241–244,
<a href="https://doi.org/10.1038/337241a0" target="_blank">https://doi.org/10.1038/337241a0</a>, 1989.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Fountoukis, C. and Nenes, A.: ISORROPIA II: a computationally efficient
thermodynamic equilibrium model for K<sup>+</sup>–Ca<sup>2+</sup>–Mg<sup>2+</sup>–NH<sub>4</sub><sup>+</sup>–Na<sup>+</sup>–SO<sub>4</sub><sup>2−</sup>–NO<sub>3</sub><sup>−</sup>–Cl<sup>−</sup>–H<sub>2</sub>O aerosols, Atmos. Chem. Phys., 7, 4639–4659, <a href="https://doi.org/10.5194/acp-7-4639-2007" target="_blank">https://doi.org/10.5194/acp-7-4639-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Fu, X., Wang, T., Gao, J., Wang, P., Liu, Y., Wang, S., Zhao, B., and Xue,
L.: Persistent Heavy Winter Nitrate Pollution Driven by Increased
Photochemical Oxidants in Northern China, Environ. Sci. Technol., 54,
3881–3889, <a href="https://doi.org/10.1021/acs.est.9b07248" target="_blank">https://doi.org/10.1021/acs.est.9b07248</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Guo, H., Xu, L., Bougiatioti, A., Cerully, K. M., Capps, S. L., Hite Jr., J. R., Carlton, A. G., Lee, S.-H., Bergin, M. H., Ng, N. L., Nenes, A., and Weber, R. J.: Fine-particle water and pH in the southeastern United States, Atmos. Chem. Phys., 15, 5211–5228, <a href="https://doi.org/10.5194/acp-15-5211-2015" target="_blank">https://doi.org/10.5194/acp-15-5211-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Guo, H., Sullivan, A. P., Campuzano-Jost, P.,
Schroder, J. C., Lopez-Hilfiker, F. D., Dibb, J. E.,
Jimenez, J. L., Thornton, J. A., Brown, S. S., and Nenes, A.: Fine particle
pH and the partitioning of nitric acid during winter in the northeastern
United States, J. Geophys. Res.-Atmos., 121, 10355–10376, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Guo, H., Otjes, R., Schlag, P., Kiendler-Scharr, A., Nenes, A., and Weber, R. J.: Effectiveness of ammonia reduction on control of fine particle nitrate, Atmos. Chem. Phys., 18, 12241–12256, <a href="https://doi.org/10.5194/acp-18-12241-2018" target="_blank">https://doi.org/10.5194/acp-18-12241-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Han, C., Yang, W., Wu, Q., Yang, H., and Xue, X.: Heterogeneous
photochemical conversion of NO<sub>2</sub> to HONO on the humic acid surface under
simulated sunlight, Environ. Sci. Technol., 50, 5017–5023, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
He, P., Xie, Z., Chi, X., Yu, X., Fan, S., Kang, H., Liu, C., and Zhan, H.: Atmospheric Δ<sup>17</sup>O(NO<sub>3</sub><sup>−</sup>) reveals nocturnal chemistry dominates nitrate production in Beijing haze, Atmos. Chem. Phys., 18, 14465–14476, <a href="https://doi.org/10.5194/acp-18-14465-2018" target="_blank">https://doi.org/10.5194/acp-18-14465-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Hennigan, C. J., Izumi, J., Sullivan, A. P., Weber, R. J., and Nenes, A.: A critical evaluation of proxy methods used to estimate the acidity of atmospheric particles, Atmos. Chem. Phys., 15, 2775–2790, <a href="https://doi.org/10.5194/acp-15-2775-2015" target="_blank">https://doi.org/10.5194/acp-15-2775-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Hua, Y., Cheng, Z., Wang, S., Jiang, J., Chen, D., Cai, S., Fu, X., Fu, Q.,
Chen, C., and Xu, B.: Characteristics and source apportionment of PM<sub>2.5</sub>
during a fall heavy haze episode in the Yangtze River Delta of China, Atmos.
Environ., 123, 380–391, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Huang, R. J., Zhang, Y. L., Bozzetti, C., Ho, K. F., Cao, J. J., Han, Y. M.,
Daellenbach, K. R., Slowik, J. G., Platt, S. M., Canonaco, F., Zotter, P.,
Wolf, R., Pieber, S. M., Bruns, E. A., Crippa, M., Ciarelli, G.,
Piazzalunga, A., Schwikowski, M., Abbaszade, G., Schnelle-Kreis, J.,
Zimmermann, R., An, Z. S., Szidat, S., Baltensperger, U., El Haddad, I., and
Prevot, A. S. H.: High secondary aerosol contribution to particulate
pollution during haze events in China, Nature, 514, 218–222, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Huang, R. J., He, Y., Duan, J., Li, Y., Chen, Q., Zheng, Y., Chen, Y., Hu, W., Lin, C., Ni, H., Dai, W., Cao, J., Wu, Y., Zhang, R., Xu, W., Ovadnevaite, J., Ceburnis, D., Hoffmann, T., and O'Dowd, C. D.: Contrasting sources and processes of particulate species in haze days with low and high relative humidity in wintertime Beijing, Atmos. Chem. Phys., 20, 9101–9114, <a href="https://doi.org/10.5194/acp-20-9101-2020" target="_blank">https://doi.org/10.5194/acp-20-9101-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Huang, X., Ding, A., Gao, J., Zheng, B., Zhou, D., Qi, X., Tang, R., Wang,
J., Ren, C., and Nie, W.: Enhanced secondary pollution offset reduction of
primary emissions during COVID-19 lockdown in China, Natl. Sci. Rev., 8,
nwaa137, <a href="https://doi.org/10.1093/nsr/nwaa137" target="_blank">https://doi.org/10.1093/nsr/nwaa137</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Jenkin, M. E., Young, J. C., and Rickard, A. R.: The MCM v3.3.1 degradation scheme for isoprene, Atmos. Chem. Phys., 15, 11433–11459, <a href="https://doi.org/10.5194/acp-15-11433-2015" target="_blank">https://doi.org/10.5194/acp-15-11433-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Kleffmann, J., Becker, K., and Wiesen, P.: Heterogeneous NO<sub>2</sub> conversion
processes on acid surfaces: possible atmospheric implications, Atmos.
Environ., 32, 2721–2729, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Kong, L., Yang, Y., Zhang, S., Zhao, X., Du, H., Fu, H., Zhang, S., Cheng,
T., Yang, X., and Chen, J.: Observations of linear dependence between
sulfate and nitrate in atmospheric particles, J. Geophys. Res.-Atmos., 119,
341–361, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Kong, L., Feng, M., Liu, Y., Zhang, Y., Zhang, C., Li, C., Qu, Y., An, J., Liu, X., Tan, Q., Cheng, N., Deng, Y., Zhai, R., and Wang, Z.: Elucidating the pollution characteristics of nitrate, sulfate and ammonium in PM<sub>2.5</sub> in Chengdu, southwest China, based on 3-year measurements, Atmos. Chem. Phys., 20, 11181–11199, <a href="https://doi.org/10.5194/acp-20-11181-2020" target="_blank">https://doi.org/10.5194/acp-20-11181-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Kurtenbach, R., Becker, K., Gomes, J., Kleffmann, J., Lörzer, J.,
Spittler, M., Wiesen, P., Ackermann, R., Geyer, A., and Platt, U.:
Investigations of emissions and heterogeneous formation of HONO in a road
traffic tunnel, Atmos. Environ., 35, 3385–3394, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Le, T., Wang, Y., Liu, L., Yang, J., Yung, Y. L., Li, G., and Seinfeld, J.
H.: Unexpected air pollution with marked emission reductions during the
COVID-19 outbreak in China, Science, 369, 702–706, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Lee, Y.-N. and Schwartz, S. E.: Kinetics of Oxidation of Aqueous Sulfur (IV) by Nitrogen Dioxide, in: Precipitation Scavenging, Dry Deposition, and Resuspension. Volume 1: Precipitation Scavenging, edited by: Pruppacher, H. R., Semonin, R. G., and Slinn, W. G., Elsevier, New York, Amsterdam, Oxford, 453–470, <a href="https://www.bnl.gov/envsci/schwartz/pubs/Lee83NO2S(IV)c.pdf" target="_blank"/> (last access: 8 August 2021), 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Lelieveld, J., Evans, J. S., Fnais, M., Giannadaki, D., and Pozzer, A.: The
contribution of outdoor air pollution sources to premature mortality on a
global scale, Nature, 525, 367–370, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Li, H., Zhang, Q., Zheng, B., Chen, C., Wu, N., Guo, H., Zhang, Y., Zheng, Y., Li, X., and He, K.: Nitrate-driven urban haze pollution during summertime over the North China Plain, Atmos. Chem. Phys., 18, 5293–5306, <a href="https://doi.org/10.5194/acp-18-5293-2018" target="_blank">https://doi.org/10.5194/acp-18-5293-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Li, H., Cheng, J., Zhang, Q., Zheng, B., Zhang, Y., Zheng, G., and He, K.: Rapid transition in winter aerosol composition in Beijing from 2014 to 2017: response to clean air actions, Atmos. Chem. Phys., 19, 11485–11499, <a href="https://doi.org/10.5194/acp-19-11485-2019" target="_blank">https://doi.org/10.5194/acp-19-11485-2019</a>, 2019a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Li, K., Jacob, D. J., Liao, H., Zhu, J., Shah, V., Shen, L., Bates, K. H.,
Zhang, Q., and Zhai, S.: A two-pollutant strategy for improving ozone and
particulate air quality in China, Nat. Geosci., 12, 906–910, 2019b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Li, M., Wang, T., Xie, M., Li, S., Zhuang, B., Huang, X., Chen, P., Zhao,
M., and Liu, J.: Formation and evolution mechanisms for two extreme haze
episodes in the Yangtze River Delta region of China during winter 2016, J.
Geophys. Res.-Atmos., 124, 3607–3623, 2019c.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Lin, Y.-C., Zhang, Y.-L., Fan, M.-Y., and Bao, M.: Heterogeneous formation of particulate nitrate under ammonium-rich regimes during the high-PM<sub>2.5</sub> events in Nanjing, China, Atmos. Chem. Phys., 20, 3999–4011, <a href="https://doi.org/10.5194/acp-20-3999-2020" target="_blank">https://doi.org/10.5194/acp-20-3999-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Liu, L., Zhang, J., Du, R., Teng, X., Hu, R., Yuan, Q., Tang, S., Ren, C.,
Huang, X., and Xu, L.: Chemistry of atmospheric fine particles during the
COVID-19 pandemic in a megacity of Eastern China, Geophys. Res. Lett., 48,
2020GL091611, <a href="https://doi.org/10.1029/2020GL091611" target="_blank">https://doi.org/10.1029/2020GL091611</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Liu, P., Ye, C., Xue, C., Zhang, C., Mu, Y., and Sun, X.: Formation mechanisms of atmospheric nitrate and sulfate during the winter haze pollution periods in Beijing: gas-phase, heterogeneous and aqueous-phase chemistry, Atmos. Chem. Phys., 20, 4153–4165, <a href="https://doi.org/10.5194/acp-20-4153-2020" target="_blank">https://doi.org/10.5194/acp-20-4153-2020</a>, 2020a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Liu, Y. and Wang, T.: Worsening urban ozone pollution in China from 2013 to 2017 – Part 1: The complex and varying roles of meteorology, Atmos. Chem. Phys., 20, 6305–6321, <a href="https://doi.org/10.5194/acp-20-6305-2020" target="_blank">https://doi.org/10.5194/acp-20-6305-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Liu, Y., Lu, K., Ma, Y., Yang, X., Zhang, W., Wu, Y., Peng, J., Shuai, S.,
Hu, M., and Zhang, Y.: Direct emission of nitrous acid (HONO) from gasoline
cars in China determined by vehicle chassis dynamometer experiments, Atmos.
Environ., 169, 89–96, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Liu, Y., Lu, K., Li, X., Dong, H., Tan, Z., Wang, H., Zou, Q., Wu, Y., Zeng,
L., Hu, M., Min, K. E., Kecorius, S., Wiedensohler, A., and Zhang, Y.: A
Comprehensive Model Test of the HONO Sources Constrained to Field
Measurements at Rural North China Plain, Environ. Sci. Technol., 53,
3517–3525, <a href="https://doi.org/10.1021/acs.est.8b06367" target="_blank">https://doi.org/10.1021/acs.est.8b06367</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Liu, Y., Zhang, Y., Lian, C., Yan, C., Feng, Z., Zheng, F., Fan, X., Chen, Y., Wang, W., Chu, B., Wang, Y., Cai, J., Du, W., Daellenbach, K. R., Kangasluoma, J., Bianchi, F., Kujansuu, J., Petäjä, T., Wang, X., Hu, B., Wang, Y., Ge, M., He, H., and Kulmala, M.: The promotion effect of nitrous acid on aerosol formation in wintertime in Beijing: the possible contribution of traffic-related emissions, Atmos. Chem. Phys., 20, 13023–13040, <a href="https://doi.org/10.5194/acp-20-13023-2020" target="_blank">https://doi.org/10.5194/acp-20-13023-2020</a>, 2020b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Lu, K. D., Fuchs, H., Hofzumahaus, A., Tan, Z. F., Wang, H. C., Zhang, L.,
Schmitt, S. H., Rohrer, F., Bohn, B., Broch, S., Dong, H. B., Gkatzelis, G.
I., Hohaus, T., Holland, F., Li, X., Liu, Y., Liu, Y. H., Ma, X. F.,
Novelli, A., Schlag, P., Shao, M., Wu, Y. S., Wu, Z. J., Zeng, L. M., Hu,
M., Kiendler-Scharr, A., Wahner, A., and Zhang, Y. H.: Fast Photochemistry
in Wintertime Haze: Consequences for Pollution Mitigation Strategies,
Environ. Sci. Technol., 53, 10676–10684, <a href="https://doi.org/10.1021/acs.est.9b02422" target="_blank">https://doi.org/10.1021/acs.est.9b02422</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Lu, X., Hong, J., Zhang, L., Cooper, O. R., Schultz, M. G., Xu, X., Wang,
T., Gao, M., Zhao, Y., and Zhang, Y.: Severe surface ozone pollution in
China: a global perspective, Environ. Sci. Technol. Lett., 5, 487–494, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
McDuffie, E. E., Womack, C. C., Fibiger, D. L., Dube, W. P., Franchin, A., Middlebrook, A. M., Goldberger, L., Lee, B. H., Thornton, J. A., Moravek, A., Murphy, J. G., Baasandorj, M., and Brown, S. S.: On the contribution of nocturnal heterogeneous reactive nitrogen chemistry to particulate matter formation during wintertime pollution events in Northern Utah, Atmos. Chem. Phys., 19, 9287–9308, <a href="https://doi.org/10.5194/acp-19-9287-2019" target="_blank">https://doi.org/10.5194/acp-19-9287-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Mozurkewich, M. and Calvert, J. G.: Reaction probability of N<sub>2</sub>O<sub>5</sub>
on aqueous aerosols, J. Geophys. Res.-Atmos., 93, 15889–15896, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Peng, J. F., Hu, M., Shang, D. J., Wu, Z. J., Du, Z. F., Tan, T. Y., Wang,
Y. N., Zhang, F., and Zhang, R. Y.: Explosive Secondary Aerosol Formation
during Severe Haze in the North China Plain, Environ. Sci. Technol., 55,
2189–2207, <a href="https://doi.org/10.1021/acs.est.0c07204" target="_blank">https://doi.org/10.1021/acs.est.0c07204</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Romer, P. S., Wooldridge, P. J., Crounse, J. D., Kim, M. J., Wennberg, P.
O., Dibb, J. E., Scheuer, E., Blake, D. R., Meinardi, S., and Brosius, A.
L.: Constraints on Aerosol Nitrate Photolysis as a Potential Source of HONO
and NO<sub><i>x</i></sub>, Environ. Sci. Technol., 52, 13738–13746, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Schweitzer, F., Mirabel, P., and George, C.: Multiphase chemistry of
N<sub>2</sub>O<sub>5</sub>, ClNO<sub>2</sub>, and BrNO<sub>2</sub>, J. Phys. Chem. A, 102,
3942–3952, <a href="https://doi.org/10.1021/jp980748s" target="_blank">https://doi.org/10.1021/jp980748s</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Shao, P. Y., Tian, H. Z., Sun, Y. J., Liu, H. J., Wu, B. B., Liu, S. H.,
Liu, X. Y., Wu, Y. M., Liang, W. Z., Wang, Y., Gao, J. J., Xue, Y. F., Bai,
X. X., Liu, W., Lin, S. M., and Hu, G. Z.: Characterizing remarkable changes
of severe haze events and chemical compositions in multi-size airborne
particles (PM<sub>1</sub>, PM<sub>2.5</sub> and PM<sub>10</sub>) from January 2013 to
2016-2017 winter in Beijing, China, Atmos. Environ., 189, 133–144, <a href="https://doi.org/10.1016/j.atmosenv.2018.06.038" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.06.038</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Shen, J., Zhao, Q., Cheng, Z., Wang, P., Ying, Q., Liu, J., Duan, Y., and
Fu, Q.: Insights into source origins and formation mechanisms of nitrate
during winter haze episodes in the Yangtze River Delta, Sci. Total.
Environ., 741, 140187, <a href="https://doi.org/10.1016/j.scitotenv.2020.140187" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.140187</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Slater, E. J., Whalley, L. K., Woodward-Massey, R., Ye, C., Lee, J. D., Squires, F., Hopkins, J. R., Dunmore, R. E., Shaw, M., Hamilton, J. F., Lewis, A. C., Crilley, L. R., Kramer, L., Bloss, W., Vu, T., Sun, Y., Xu, W., Yue, S., Ren, L., Acton, W. J. F., Hewitt, C. N., Wang, X., Fu, P., and Heard, D. E.: Elevated levels of OH observed in haze events during wintertime in central Beijing, Atmos. Chem. Phys., 20, 14847–14871, <a href="https://doi.org/10.5194/acp-20-14847-2020" target="_blank">https://doi.org/10.5194/acp-20-14847-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Su, X., Tie, X., Li, G., Cao, J., Huang, R., Feng, T., Long, X., and Xu, R.:
Effect of hydrolysis of N<sub>2</sub>O<sub>5</sub> on nitrate and ammonium formation in
Beijing China: WRF-Chem model simulation, Sci. Total. Environ., 579,
221–229, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Sun, P., Nie, W., Chi, X., Xie, Y., Huang, X., Xu, Z., Qi, X., Xu, Z., Wang, L., Wang, T., Zhang, Q., and Ding, A.: Two years of online measurement of fine particulate nitrate in the western Yangtze River Delta: influences of thermodynamics and N<sub>2</sub>O<sub>5</sub> hydrolysis, Atmos. Chem. Phys., 18, 17177–17190, <a href="https://doi.org/10.5194/acp-18-17177-2018" target="_blank">https://doi.org/10.5194/acp-18-17177-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Tan, Z., Fuchs, H., Lu, K., Hofzumahaus, A., Bohn, B., Broch, S., Dong, H., Gomm, S., Häseler, R., He, L., Holland, F., Li, X., Liu, Y., Lu, S., Rohrer, F., Shao, M., Wang, B., Wang, M., Wu, Y., Zeng, L., Zhang, Y., Wahner, A., and Zhang, Y.: Radical chemistry at a rural site (Wangdu) in the North China Plain: observation and model calculations of OH, HO<sub>2</sub> and RO<sub>2</sub> radicals, Atmos. Chem. Phys., 17, 663–690, <a href="https://doi.org/10.5194/acp-17-663-2017" target="_blank">https://doi.org/10.5194/acp-17-663-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Tao, J., Zhang, L., Cao, J., and Zhang, R.: A review of current knowledge concerning PM<sub>2.5</sub> chemical composition, aerosol optical properties and their relationships across China, Atmos. Chem. Phys., 17, 9485–9518, <a href="https://doi.org/10.5194/acp-17-9485-2017" target="_blank">https://doi.org/10.5194/acp-17-9485-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Tao, Y., Ye, X., Ma, Z., Xie, Y., Wang, R., Chen, J., Yang, X., and Jiang,
S.: Insights into different nitrate formation mechanisms from seasonal
variations of secondary inorganic aerosols in Shanghai, Atmos. Environ.,
145, 1–9, <a href="https://doi.org/10.1016/j.atmosenv.2016.09.012" target="_blank">https://doi.org/10.1016/j.atmosenv.2016.09.012</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Thornton, J. A. and Abbatt, J. P. D.: N<sub>2</sub>O<sub>5</sub> reaction on submicron
sea salt aerosol: Kinetics, products, and the effect of surface active
organics, J. Phys. Chem. A, 109, 10004–10012, <a href="https://doi.org/10.1021/jp054183t" target="_blank">https://doi.org/10.1021/jp054183t</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Tian, J., Wang, Q., Zhang, Y., Yan, M., Liu, H., Zhang, N., Ran, W., and
Cao, J.: Impacts of primary emissions and secondary aerosol formation on air
pollution in an urban area of China during the COVID-19 lockdown, Environ.
Int., 150, 106426, <a href="https://doi.org/10.1016/j.envint.2021.106426" target="_blank">https://doi.org/10.1016/j.envint.2021.106426</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Trinh, H. T., Imanishi, K., Morikawa, T., Hagino, H., and Takenaka, N.:
Gaseous nitrous acid (HONO) and nitrogen oxides (NO<sub><i>x</i></sub>) emission from gasoline
and diesel vehicles under real-world driving test cycles, J. Air. Waste.
Manage., 67, 412–420, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
von Schneidemesser, E., Monks, P. S., Allan, J. D., Bruhwiler, L., Forster,
P., Fowler, D., Lauer, A., Morgan, W. T., Paasonen, P., Righi, M.,
Sindelarova, K., and Sutton, M. A.: Chemistry and the Linkages between Air
Quality and Climate Change, Chem. Rev., 115, 3856–3897, <a href="https://doi.org/10.1021/acs.chemrev.5b00089" target="_blank">https://doi.org/10.1021/acs.chemrev.5b00089</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Wagner, N., Riedel, T., Young, C., Bahreini, R., Brock, C., Dubé, W.,
Kim, S., Middlebrook, A., Öztürk, F., and Roberts, J.:
N<sub>2</sub>O<sub>5</sub> uptake coefficients and nocturnal NO<sub>2</sub> removal rates
determined from ambient wintertime measurements, J. Geophys. Res.-Atmos.,
118, 9331–9350, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Wang, H., Lu, K., Chen, X., Zhu, Q., Chen, Q., Guo, S., Jiang, M., Li, X.,
Shang, D., Tan, Z., Wu, Y., Wu, Z., Zou, Q., Zheng, Y., Zeng, L., Zhu, T.,
Hu, M., and Zhang, Y.: High N<sub>2</sub>O<sub>5</sub> Concentrations Observed in Urban
Beijing: Implications of a Large Nitrate Formation Pathway, Environ. Sci.
Technol. Lett., 4, 416–420, <a href="https://doi.org/10.1021/acs.estlett.7b00341" target="_blank">https://doi.org/10.1021/acs.estlett.7b00341</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Wang, J., Li, J., Ye, J., Zhao, J., Wu, Y., Hu, J., Liu, D., Nie, D., Shen,
F., Huang, X., Huang, D. D., Ji, D., Sun, X., Xu, W., Guo, J., Song, S.,
Qin, Y., Liu, P., Turner, J. R., Lee, H. C., Hwang, S., Liao, H., Martin, S.
T., Zhang, Q., Chen, M., Sun, Y., Ge, X., and Jacob, D. J.: Fast sulfate
formation from oxidation of SO<sub>2</sub> by NO<sub>2</sub> and HONO observed in
Beijing haze, Nat. Commun., 11, 2844, <a href="https://doi.org/10.1038/s41467-020-16683-x" target="_blank">https://doi.org/10.1038/s41467-020-16683-x</a>,
2020a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Wang, W., Yu, J., Cui, Y., He, J., Xue, P., Cao, W., Ying, H., Gao, W., Yan,
Y., Hu, B., Xin, J., Wang, L., Liu, Z., Sun, Y., Ji, D., and Wang, Y.:
Characteristics of fine particulate matter and its sources in an
industrialized coastal city, Ningbo, Yangtze River Delta, China, Atmos.
Res., 203, 105–117, <a href="https://doi.org/10.1016/j.atmosres.2017.11.033" target="_blank">https://doi.org/10.1016/j.atmosres.2017.11.033</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
Wang, Y., Zhang, R., and Saravanan, R.: Asian pollution climatically
modulates mid-latitude cyclones following hierarchical modelling and
observational analysis, Nat. Commun., 5, 1–7, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Wang, Y., Chen, Y., Wu, Z., Shang, D., Bian, Y., Du, Z., Schmitt, S. H., Su, R., Gkatzelis, G. I., Schlag, P., Hohaus, T., Voliotis, A., Lu, K., Zeng, L., Zhao, C., Alfarra, M. R., McFiggans, G., Wiedensohler, A., Kiendler-Scharr, A., Zhang, Y., and Hu, M.: Mutual promotion between aerosol particle liquid water and particulate nitrate enhancement leads to severe nitrate-dominated particulate matter pollution and low visibility, Atmos. Chem. Phys., 20, 2161–2175, <a href="https://doi.org/10.5194/acp-20-2161-2020" target="_blank">https://doi.org/10.5194/acp-20-2161-2020</a>, 2020b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Wayne, R. P., Barnes, I., Biggs, P., Burrows, J., Canosa-Mas, C., Hjorth,
J., Le Bras, G., Moortgat, G., Perner, D., and Poulet, G.: The nitrate
radical: Physics, chemistry, and the atmosphere, Atmos. Environ. A-Gen., 25, 1–203, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
Wen, L., Chen, J., Yang, L., Wang, X., Xu, C., Sui, X., Yao, L., Zhu, Y.,
Zhang, J., and Zhu, T.: Enhanced formation of fine particulate nitrate at a
rural site on the North China Plain in summer: The important roles of
ammonia and ozone, Atmos. Environ., 101, 294–302, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
Wen, L., Xue, L., Wang, X., Xu, C., Chen, T., Yang, L., Wang, T., Zhang, Q., and Wang, W.: Summertime fine particulate nitrate pollution in the North China Plain: increasing trends, formation mechanisms and implications for control policy, Atmos. Chem. Phys., 18, 11261–11275, <a href="https://doi.org/10.5194/acp-18-11261-2018" target="_blank">https://doi.org/10.5194/acp-18-11261-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
Wolfe, G. M., Marvin, M. R., Roberts, S. J., Travis, K. R., and Liao, J.: The Framework for 0-D Atmospheric Modeling (F0AM) v3.1, Geosci. Model Dev., 9, 3309–3319, <a href="https://doi.org/10.5194/gmd-9-3309-2016" target="_blank">https://doi.org/10.5194/gmd-9-3309-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
Wong, K. W., Oh, H.-J., Lefer, B. L., Rappenglück, B., and Stutz, J.: Vertical profiles of nitrous acid in the nocturnal urban atmosphere of Houston, TX, Atmos. Chem. Phys., 11, 3595–3609, <a href="https://doi.org/10.5194/acp-11-3595-2011" target="_blank">https://doi.org/10.5194/acp-11-3595-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
Wong, K. W., Tsai, C., Lefer, B., Grossberg, N., and Stutz, J.: Modeling of daytime HONO vertical gradients during SHARP 2009, Atmos. Chem. Phys., 13, 3587–3601, <a href="https://doi.org/10.5194/acp-13-3587-2013" target="_blank">https://doi.org/10.5194/acp-13-3587-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Xie, Y., Ding, A., Nie, W., Mao, H., Qi, X., Huang, X., Xu, Z., Kerminen, V.
M., Petäjä, T., and Chi, X.: Enhanced sulfate formation by nitrogen
dioxide: Implications from in situ observations at the SORPES station, J.
Geophys. Res.-Atmos., 120, 12679–12694, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
Xie, Y., Wang, G., Wang, X., Chen, J., Chen, Y., Tang, G., Wang, L., Ge, S., Xue, G., Wang, Y., and Gao, J.: Nitrate-dominated PM<sub>2.5</sub> and elevation of particle pH observed in urban Beijing during the winter of 2017, Atmos. Chem. Phys., 20, 5019–5033, <a href="https://doi.org/10.5194/acp-20-5019-2020" target="_blank">https://doi.org/10.5194/acp-20-5019-2020</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
Xu, Q., Wang, S., Jiang, J., Bhattarai, N., Li, X., Chang, X., Qiu, X.,
Zheng, M., Hua, Y., and Hao, J.: Nitrate dominates the chemical composition
of PM<sub>2.5</sub> during haze event in Beijing, China, Sci. Total. Environ.,
689, 1293–1303, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
Xue, C., Zhang, C., Ye, C., Liu, P., Catoire, V., Krysztofiak, G., Chen, H.,
Ren, Y., Zhao, X., Wang, J., Zhang, F., Zhang, C., Zhang, J., An, J., Wang,
T., Chen, J., Kleffmann, J., Mellouki, A., and Mu, Y.: HONO Budget and Its
Role in Nitrate Formation in the Rural North China Plain, Environ. Sci.
Technol., 54, 11048–11057, <a href="https://doi.org/10.1021/acs.est.0c01832" target="_blank">https://doi.org/10.1021/acs.est.0c01832</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
Yang, G., Liu, Y., and Li, X.: Spatiotemporal distribution of ground-level
ozone in China at a city level, Sci. Rep., 10, 1–12, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>83</label><mixed-citation>
Ye, C., Zhou, X., Pu, D., Stutz, J., Festa, J., Spolaor, M., Tsai, C.,
Cantrell, C., Mauldin, R. L., and Campos, T.: Rapid cycling of reactive
nitrogen in the marine boundary layer, Nature, 532, 489–491, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>84</label><mixed-citation>
Ye, S., Ma, T., Duan, F., Li, H., He, K., Xia, J., Yang, S., Zhu, L., Ma,
Y., and Huang, T.: Characteristics and formation mechanisms of winter haze
in Changzhou, a highly polluted industrial city in the Yangtze River Delta,
China, Environ. Pollut., 253, 377–383, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>85</label><mixed-citation>
Ye, Z., Liu, J., Gu, A., Feng, F., Liu, Y., Bi, C., Xu, J., Li, L., Chen, H., Chen, Y., Dai, L., Zhou, Q., and Ge, X.: Chemical characterization of fine particulate matter in Changzhou, China, and source apportionment with offline aerosol mass spectrometry, Atmos. Chem. Phys., 17, 2573–2592, <a href="https://doi.org/10.5194/acp-17-2573-2017" target="_blank">https://doi.org/10.5194/acp-17-2573-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>86</label><mixed-citation>
Yu, C., Wang, Z., Xia, M., Fu, X., Wang, W., Tham, Y. J., Chen, T., Zheng, P., Li, H., Shan, Y., Wang, X., Xue, L., Zhou, Y., Yue, D., Ou, Y., Gao, J., Lu, K., Brown, S. S., Zhang, Y., and Wang, T.: Heterogeneous N<sub>2</sub>O<sub>5</sub> reactions on atmospheric aerosols at four Chinese sites: improving model representation of uptake parameters, Atmos. Chem. Phys., 20, 4367–4378, <a href="https://doi.org/10.5194/acp-20-4367-2020" target="_blank">https://doi.org/10.5194/acp-20-4367-2020</a>, 2020a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>87</label><mixed-citation>
Yu, Y., Xu, H., Jiang, Y., Chen, F., and Liu, D.: A modeling study of
PM<sub>2.5</sub> transboundary transport during a winter severe haze episode in
southern Yangtze River Delta, China, Atmos. Res., 248, 105159, <a href="https://doi.org/10.1016/j.atmosres.2020.105159" target="_blank">https://doi.org/10.1016/j.atmosres.2020.105159</a>, 2020b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>88</label><mixed-citation>
Yun, H., Wang, W., Wang, T., Xia, M., Yu, C., Wang, Z., Poon, S. C. N., Yue, D., and Zhou, Y.: Nitrate formation from heterogeneous uptake of dinitrogen pentoxide during a severe winter haze in southern China, Atmos. Chem. Phys., 18, 17515–17527, <a href="https://doi.org/10.5194/acp-18-17515-2018" target="_blank">https://doi.org/10.5194/acp-18-17515-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>89</label><mixed-citation>
Zare, A., Romer, P. S., Nguyen, T., Keutsch, F. N., Skog, K., and Cohen, R. C.: A comprehensive organic nitrate chemistry: insights into the lifetime of atmospheric organic nitrates, Atmos. Chem. Phys., 18, 15419–15436, <a href="https://doi.org/10.5194/acp-18-15419-2018" target="_blank">https://doi.org/10.5194/acp-18-15419-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>90</label><mixed-citation>
Zhai, S., Jacob, D. J., Wang, X., Liu, Z., Wen, T., Shah, V., Li, K., Moch,
J. M., Bates, K. H., Song, S., Shen, L., Zhang, Y., Luo, G., Yu, F., Sun,
Y., Wang, L., Qi, M., Tao, J., Gui, K., Xu, H., Zhang, Q., Zhao, T., Wang,
Y., Lee, H. C., Choi, H., and Liao, H.: Control of particulate nitrate air
pollution in China, Nat. Geosci., 14, 389–395, <a href="https://doi.org/10.1038/s41561-021-00726-z" target="_blank">https://doi.org/10.1038/s41561-021-00726-z</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>91</label><mixed-citation>
Zhang, Q., Zheng, Y. X., Tong, D., Shao, M., Wang, S. X., Zhang, Y. H., Xu,
X. D., Wang, J. N., He, H., Liu, W. Q., Ding, Y. H., Lei, Y., Li, J. H.,
Wang, Z. F., Zhang, X. Y., Wang, Y. S., Cheng, J., Liu, Y., Shi, Q. R., Yan,
L., Geng, G. N., Hong, C. P., Li, M., Liu, F., Zheng, B., Cao, J. J., Ding,
A. J., Gao, J., Fu, Q. Y., Huo, J. T., Liu, B. X., Liu, Z. R., Yang, F. M.,
He, K. B., and Hao, J. M.: Drivers of improved PM<sub>2.5</sub> air quality in
China from 2013 to 2017, Proc. Natl. Acad. Sci. USA, 116, 24463–24469,
<a href="https://doi.org/10.1073/pnas.1907956116" target="_blank">https://doi.org/10.1073/pnas.1907956116</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>92</label><mixed-citation>
Zhang, T., Shen, Z., Su, H., Liu, S., Zhou, J., Zhao, Z., Wang, Q.,
Prévôt, A., and Cao, J.: Effects of Aerosol Water Content on the
formation of secondary inorganic aerosol during a Winter Heavy PM<sub>2.5</sub>
Pollution Episode in Xi'an, China, Atmos. Environ., 252, 118304, <a href="https://doi.org/10.1016/j.atmosenv.2021.118304" target="_blank">https://doi.org/10.1016/j.atmosenv.2021.118304</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>93</label><mixed-citation>
Zhang, Y.-L. and Cao, F.: Fine particulate matter (PM<sub>2.5</sub>) in China at
a city level, Sci. Rep., 5, 1–12, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>94</label><mixed-citation>
Zhao, P. S., Dong, F., He, D., Zhao, X. J., Zhang, X. L., Zhang, W. Z., Yao, Q., and Liu, H. Y.: Characteristics of concentrations and chemical compositions for PM<sub>2.5</sub> in the region of Beijing, Tianjin, and Hebei, China, Atmos. Chem. Phys., 13, 4631–4644, <a href="https://doi.org/10.5194/acp-13-4631-2013" target="_blank">https://doi.org/10.5194/acp-13-4631-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>95</label><mixed-citation>
Zhao, Q., Huo, J., Yang, X., Fu, Q., Duan, Y., Liu, Y., Lin, Y., and Zhang,
Q.: Chemical characterization and source identification of submicron
aerosols from a year-long real-time observation at a rural site of Shanghai
using an Aerosol Chemical Speciation Monitor, Atmos. Res., 246, 105154, <a href="https://doi.org/10.1016/j.atmosres.2020.105154" target="_blank">https://doi.org/10.1016/j.atmosres.2020.105154</a>, 2020a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>96</label><mixed-citation>
Zhao, Y. B., Zhang, K., Xu, X. T., Shen, H. Z., Zhu, X., Zhang, Y. X., Hu,
Y. T., and Shen, G. F.: Substantial Changes in Nitrogen Dioxide and Ozone
after Excluding Meteorological Impacts during the COVID-19 Outbreak in
Mainland China, Environ. Sci. Technol. Lett., 7, 402–408, 2020b.

</mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>97</label><mixed-citation>
Zheng, B., Tong, D., Li, M., Liu, F., Hong, C., Geng, G., Li, H., Li, X., Peng, L., Qi, J., Yan, L., Zhang, Y., Zhao, H., Zheng, Y., He, K., and Zhang, Q.: Trends in China's anthropogenic emissions since 2010 as the consequence of clean air actions, Atmos. Chem. Phys., 18, 14095–14111, <a href="https://doi.org/10.5194/acp-18-14095-2018" target="_blank">https://doi.org/10.5194/acp-18-14095-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>98</label><mixed-citation>
Zheng, H., Kong, S., Chen, N., Yan, Y., Liu, D., Zhu, B., Xu, K., Cao, W.,
Ding, Q., Lan, B., Zhang, Z., Zheng, M., Fan, Z., Cheng, Y., Zheng, S., Yao,
L., Bai, Y., Zhao, T., and Qi, S.: Significant changes in the chemical
compositions and sources of PM<sub>2.5</sub> in Wuhan since the city lockdown as
COVID-19, Sci. Total. Environ., 739, 140000, <a href="https://doi.org/10.1016/j.scitotenv.2020.140000" target="_blank">https://doi.org/10.1016/j.scitotenv.2020.140000</a>, 2020.

</mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>99</label><mixed-citation>
Zhong, H., Huang, R.-J., Chang, Y., Duan, J., Lin, C., and Chen, Y.:
Enhanced formation of secondary organic aerosol from photochemical oxidation
during the COVID-19 lockdown in a background site in Northwest China, Sci.
Total. Environ., 778, 144947, <a href="https://doi.org/10.1016/j.scitotenv.2021.144947" target="_blank">https://doi.org/10.1016/j.scitotenv.2021.144947</a>, 2021.
</mixed-citation></ref-html>--></article>
