<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" 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-22-371-2022</article-id><title-group><article-title>Exploration of the atmospheric chemistry of nitrous acid in a coastal city of southeastern China: results from measurements across four seasons</article-title><alt-title>Exploration of the atmospheric chemistry of nitrous acid</alt-title>
      </title-group><?xmltex \runningtitle{Exploration of the atmospheric chemistry of nitrous acid}?><?xmltex \runningauthor{B. Hu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1 aff2 aff3 aff4">
          <name><surname>Hu</surname><given-names>Baoye</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff5">
          <name><surname>Duan</surname><given-names>Jun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2478-3903</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Hong</surname><given-names>Youwei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Xu</surname><given-names>Lingling</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Mengren</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Bian</surname><given-names>Yahui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff5">
          <name><surname>Qin</surname><given-names>Min</given-names></name>
          <email>mqin@aiofm.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Fang</surname><given-names>Wu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5 aff6 aff7">
          <name><surname>Xie</surname><given-names>Pinhua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Chen</surname><given-names>Jinsheng</given-names></name>
          <email>jschen@iue.ac.cn</email>
        <ext-link>https://orcid.org/0000-0002-0285-6094</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Center for Excellence in Regional Atmospheric Environment, Institute
of Urban Environment,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Xiamen 361021, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Key Lab of Urban Environment and Health, Institute of Urban
Environment,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Xiamen 361021, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Fujian Provincial Key Laboratory of Pollution Monitoring and Control,<?xmltex \hack{\break}?>
Minnan Normal University, Zhangzhou, 363000, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Fujian Provincial Key Laboratory of Modern Analytical Science and
Separation Technology, <?xmltex \hack{\break}?>Minnan Normal University, Zhangzhou, 363000, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Key Laboratory of Environment Optics and Technology, Anhui Institute
of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, 230031,
China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>University of the Chinese Academy of Sciences, Beijing 100086, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>School of Environmental Science and Optoelectronic Technology,<?xmltex \hack{\break}?>
University of Science and Technology of China, Hefei, 230026, China</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Jinsheng Chen (jschen@iue.ac.cn) and Min Qin (mqin@aiofm.ac.cn)</corresp></author-notes><pub-date><day>11</day><month>January</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>1</issue>
      <fpage>371</fpage><lpage>393</lpage>
      <history>
        <date date-type="received"><day>25</day><month>August</month><year>2021</year></date>
           <date date-type="rev-request"><day>23</day><month>September</month><year>2021</year></date>
           <date date-type="rev-recd"><day>6</day><month>November</month><year>2021</year></date>
           <date date-type="accepted"><day>30</day><month>November</month><year>2021</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="d1e220">Because nitrous acid (HONO) photolysis is a key source of
hydroxyl (OH) radicals, identifying the atmospheric sources of HONO is
essential to enhance the understanding of atmospheric chemistry processes
and improve the accuracy of simulation models. We performed seasonal field
observations of HONO in a coastal city of southeastern China, along with
measurements of trace gases, aerosol compositions, photolysis rate constants
(<inline-formula><mml:math id="M1" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>), and meteorological parameters. The results showed that the average
observed concentration of HONO was 0.54 <inline-formula><mml:math id="M2" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47 ppb. Vehicle exhaust
emissions contributed an average of 1.45 % to HONO, higher than the
values found in most other studies, suggesting an influence from diesel
vehicle emissions. The mean conversion frequency of 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> to HONO in the
nighttime was the highest in summer due to water droplets evaporating
under high-temperature conditions. Based on a budget analysis, the
rate of emission from unknown sources (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was highest around
midday, with values of 4.51 ppb h<inline-formula><mml:math id="M5" 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 summer,
3.51 ppb h<inline-formula><mml:math id="M6" 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 spring, 3.28 ppb h<inline-formula><mml:math id="M7" 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
autumn, and 2.08 ppb h<inline-formula><mml:math id="M8" 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 winter. Unknown sources made
up the largest proportion of all sources in summer (81.25 %), autumn
(73.99 %), spring (70.87 %), and winter (59.28 %). The photolysis
of particulate nitrate was probably a source in spring and summer while the
conversion from NO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO on BC enhanced by light was perhaps a
source in autumn and winter. The variation of HONO at night can be exactly
simulated based on the HONO <inline-formula><mml:math id="M10" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio, while the
<inline-formula><mml:math id="M12" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M13" 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>_R) <inline-formula><mml:math id="M14" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M15" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M16" 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> should be
considered for daytime simulations in summer and autumn, or <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M18" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M19" 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>_R) <inline-formula><mml:math id="M20" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M21" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M22" 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>) in spring and winter. Compared with O<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
photolysis, HONO photolysis has long been an important source of OH except
for summer afternoons. Observation of HONO across four seasons with various
auxiliary parameters improves the comprehension of HONO chemistry in
southeastern coastal China.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<?pagebreak page372?><sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e457">Nitrous acid (HONO) photolysis produces hydroxyl radical (OH), an important
oxidant, in the troposphere (Zhou et al., 2011). OH plays an important
role in triggering the oxidation of volatile organic compounds and therefore
determines the fate of many anthropogenic atmospheric pollutants
(Lei et al., 2018). Recent research results have shown that
HONO production is the cause of an increase in secondary pollutants  (Li
et al., 2010; Gil et al., 2019; Fu et al., 2019). Though extensive studies
have been conducted in the four decades since the first clear measurement of
HONO  (Perner and Platt, 1979), the HONO formation mechanisms are
still elusive, especially during the daytime, when there is a large
difference between measured concentrations and those calculated from known
gas-phase chemistry  (Sörgel et al., 2011).
Identification of the sources of atmospheric HONO and exploration of its
formation mechanisms are beneficial for enhancing our comprehension of
atmospheric chemistry processes and improving the accuracy of atmospheric
simulation models.</p>
      <p id="d1e460">Commonly accepted HONO sources include direct emission from motor vehicles
(Chang et al., 2016; Kirchstetter et al., 1996; Kramer et al., 2020; Xu
et al., 2015) or soil  (Su et al., 2011; Tang et al., 2019; Oswald et al.,
2013), the homogeneous conversion of NO by OH
(Seinfeld and Pandis, 1998; Kleffmann, 2007),
and the heterogeneous reaction of NO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on humid surfaces
(Alicke, 2002; Finlayson-Pitts et al., 2003).
Other homogeneous sources include nucleation reactions of NH<inline-formula><mml:math id="M25" 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="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
and H<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>O (Zhang and Tao, 2010); electronically excited H<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
and NO<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for the production of HONO (Li et al., 2008); and the
HO<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo></mml:mrow></mml:math></inline-formula> H<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>O complex and NO<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> for the production of HONO
(Li et al., 2014). Other heterogeneous sources include NO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reduced on soot to produce HONO and drastically enhanced by light (Ammann
et al., 1998; Monge et al., 2010), semivolatile organics from diesel exhaust
for the production of HONO  (Gutzwiller et al., 2002),
photoactivation of NO<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> on humic acid  (Stemmler et
al., 2006), TiO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>  (Ndour et al., 2008), solid organic
compounds (George et al., 2005), the photolysis of
particulate nitrate by ultraviolet (UV) light (Kasibhatla et al., 2018;
Romer et al., 2018; Ye et al., 2017; Scharko et al., 2014), dissolution of
NO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> catalyzed by anions on aqueous microdroplets
(Yabushita et al., 2009), the process of acid displacement
(Vandenboer et al., 2014), the conversion of NO<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> to HONO
on the ground (Wong et al., 2011), NH<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> enhancing the
heterogeneous reaction of NO<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> with SO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for the production of HONO
(Ge et al., 2019), NH<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> promoting NO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> dimer hydrolysis for HONO
production through stabilizing the state of the product and reducing the
reaction free energy barrier  (L. Li et al., 2018; Xu et al., 2019), and
heterogeneous formation of HONO catalyzed by CO<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>  (Xia et al.,
2021). Heterogeneous processes are the most poorly understood and yet are
widely considered the main sources of HONO in previous studies. The uptake
coefficients of 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> conversion to HONO on surfaces (including aerosols,
ground, buildings, and vegetation) vary from 10<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 10<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, derived from different experiments  (Ammann et al., 1998; Kirchner et
al., 2000; Underwood et al., 2001; Aubin and Abbatt, 2007; Zhou et al.,
2015; Liu et al., 2014; Vandenboer et al., 2013). It is still a challenge to
extrapolate laboratory results to real surfaces. There is still research being carried out to distinguish the key step to determine the NO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> uptake,
and we are also not sure what role radiation plays in it. The absence of
major HONO sources during the daytime is another subject of active ongoing research.</p>
      <p id="d1e692">According to an analysis of 15 sets of field observations around the world
(Elshorbany et al., 2012), the HONO <inline-formula><mml:math id="M48" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio (0.02)
predicts well HONO concentrations under different atmospheric conditions. To
avoid underestimation of HONO in this study, an empirical parameterization
was applied to estimate the HONO concentration, because the current
understanding of HONO formation mechanisms is incomplete. Field measurements
of HONO and its precursor NO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at sites with different aerosol load and
composition, photolysis rate constants, and meteorological parameters are
necessary to deepen our knowledge of the HONO formation mechanisms. Such
measurements have been carried out in coastal cities in China, including
Guangzhou (Qin et al., 2009), Hong Kong  (Xu
et al., 2015), and Shanghai  (Cui et al., 2018), where the air pollution
was relatively severe during the research period. However, there has been a
lack of research into HONO in coastal cities with good air quality and low
concentrations of PM<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, but strong sunlight and high humidity.
Insufficient research on coastal cities with good air quality has resulted
in certain obstacles to assessing the photochemical processes in these
areas. Due to different emission-source intensities and ground surfaces, the
atmospheric chemistry of HONO in the southeastern coastal area of China is
predicted to have different pollution characteristics from those found in
other coastal cities. Furthermore, HONO contributes to the atmospheric
photochemistry differently depending on the season  (Li et
al., 2010). Therefore, observations of atmospheric HONO across different
seasons in the southeastern coastal area of China are urgently needed.</p>
      <p id="d1e729">Incoherent broadband cavity-enhanced absorption spectroscopy (IBBCEAS) was
employed in this study to determine HONO concentrations in the southeastern
coastal city of Xiamen in August (summer), October (autumn), and December
(winter) 2018 and March (spring) 2019. In addition, a series of other
relevant trace gases, meteorological parameters, and photolysis rate
constants were measured at the same time to provide additional
information to reveal the HONO formation mechanisms. The main purposes of
this study were to (1) calculate the values of unknown HONO daytime sources,
(2) analyze the processes leading to HONO formation, (3) simulate HONO
concentrations based on an empirical parameterization, and (4) evaluate OH
production<?pagebreak page373?> from HONO from 07:00 to 16:00 local time (LT). These results were
compared between the seasons.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description</title>
      <p id="d1e747">Our field observations were carried out <inline-formula><mml:math id="M52" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 m above the
ground at a supersite located on the top of the Administrative Building of
the Institute of Urban Environment (IUE), Chinese Academy of Sciences
(118<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>04<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>13<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E, 24<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> 36<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>52<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N), in Xiamen, China, in August, October, and December 2018 and March 2019 (Fig. 1). The supersite was equipped with a complete
set of measurement tools, including those for measuring gases and aerosol
species composition, meteorology parameters, and photolysis rate constants,
which provided a good chance to study the atmospheric chemistry of HONO in a
coastal city of southeastern China. As shown in Fig. 1 (left), Xiamen is
located at the southeastern coastal area of China and faces the Taiwan Strait
in the east. It suffers from sea and land breeze throughout the year with
spring and summer more frequently (Xun et al., 2017). The IUE supersite
is surrounded by Xinglin Bay, several universities (or institutes), and
several major roads with a large traffic fleet, such as Jimei Road, Shenhai
Expressway (870 m), and Xiasha Expressway (2300 m) (Fig. 1 (right)). The area
of Xiamen is 1700.61 km<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> with a population of 4.11 million
(<uri>http://tjj.xm.gov.cn/tjzl/</uri>, last access: 12 August 2019). The number of motor vehicles in 2018 was
1 572 088, which was 2.73 times as many as 10 years ago. The surrounding
soil is used for landscape greening, not for agricultural production.</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="d1e832">Location of Xiamen in China (left) and surroundings of IUE
(right).
Note: the map on the left was directly downloaded from <uri>http://bzdt.ch.mnr.gov.cn/</uri> (last access: 22 September 2021), while the map in the right was significantly
enriched based on a layer download from <uri>http://www.rivermap.cn/</uri> (last access: 25 October 2020).
The copyright statement of Fig. 1 on the left is © 2021 SinoMaps Press and National Geomatics Center of China.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Instrumentation</title>
      <p id="d1e855">The atmospheric concentrations of both HONO and NO<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were determined
using IBBCEAS, which has previously been widely applied to such measurements
(Tang et al., 2019; Duan et al., 2018; Min et al., 2016). The IBBCEAS
instrument was customized by the Anhui Institute of Optics and Fine Mechanics
(AIOFM), Chinese Academy of Sciences (Duan et al., 2018). The
resonant cavity is composed of a pair of highly reflective mirrors separated
by 70 cm, and their reflectivity is approximately 0.99983 at 368.2 nm. The
surface of the mirrors was purged by dry nitrogen at 0.1 standard liters per
minute (SLM), and the air flow was controlled by a mass flow controller to
prevent the surface of the mirror from being contaminated. Light was
introduced into the resonant cavity and was emitted by a single
light-emitting diode (LED) with full width at half maximum (FWHM) of 13 nm and a peak wavelength of 365 nm. Light transmitted through the cavity was received
by a spectrometer (QE65000, Ocean Optics Inc., USA) through an optical fiber
with 600 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter and a 0.22 numerical aperture.</p>
      <p id="d1e875">In order to avoid the drift of the center wavelength of the LED, the
temperature of the LED was controlled to be approximately 25 <inline-formula><mml:math id="M62" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 <inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by using a thermoelectric cooler unit. In order to prevent
particulate matter from entering the cavity and reducing the effect of
particulate matter on the effective absorption path, a 1 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m
polytetrafluoroethylene (PTFE) filter membrane (Tisch Scientific) was used
in the front end of the sampling port. In order to ensure the quality of the
data, the 1 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m PTFE filter membrane was usually replaced once every
three days and the sampling tube was thoroughly cleaned with alcohol once a
month. We increased the replacement frequency of the filter membrane and the
cleaning frequency of the sampling tube in the event of heavy pollution to
ensure that the filter membrane and sampling tube are in a clean state. The
length of sampling tube with 6 mm outer diameter was approximately 3 m, the
material was PFA with excellent chemical inertness, and the sampling flow
rate was 6 SLM meaning that the residence time of the gas in the sampling
tube was less than 0.5 s. Besides, the sampling loss was calibrated before
the experiment. We assessed the measured spectrum every day to ensure the
authenticity of the measurement results. Multiple reflections in the
resonator cavity enhanced the length of the effective absorption path,
thereby enhancing the detection sensitivity of the instrument. The <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> detection limits for HONO and NO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were about 60  and 100 ppt,
respectively, and the time resolution was 1 min. The fitting wavelength
range was selected as 359–387 nm. The measurement error of HONO of IBBCEAS
was estimated to be about 9 %, considering both HONO secondary formation
and sample loss. The sampling tube was heated to 35 <inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and covered
by insulation cotton materials to prevent the effect of condensation of the
water vapor (Lee et al., 2013).</p>
      <p id="d1e939">The inorganic composition of PM<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> aerosols (SO<inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
NO<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, Cl<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula>, Na<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, NH<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, K<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Ca<inline-formula><mml:math id="M76" 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="M77" 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 concentrations of gases (HONO, HNO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HCl, SO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
NH<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) were determined using a Monitor for AeRosols and Gases in ambient
Air (MARGA, Model ADI 2080, Applikon Analytical B.V., the Netherlands).
Ambient air was drawn into the sample box by a PM<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> cyclone (Teflon
coated, URG-2000-30ENB) at the flow rate of 1 m<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M83" 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>. Air
sample was drawn firstly through the wet rotating denuder (WRD) where gases
diffused to the solution, and then particles were collected by a steam jet
aerosol collector (SJAC). Absorption solutions were drawn from the SJAC and
the WRD to syringes (25 mL). Samples were injected into Metrohm cation (500 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L loop) and anion (250 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L loop) chromatographs with the internal
standard (LiBr) for 15 min after an hour when the syringes had been filled
(Makkonen et al., 2012). Specific descriptions of the
SJAC can be found in previous reports
(Slanina et al., 2001; Wyers et al., 1993).
Therefore, the times needed for the sampling period and the latter IC
analysis on the MARGA system are a full hour and 15 min, respectively.
The value measured in this hour is actually the concentration sampled in the
previous hour, so the time corresponding to the sampling is matched with
other instrument parameters (i.e., HONO, NO<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M87" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> values).</p>
      <?pagebreak page374?><p id="d1e1133">Photolysis frequencies were determined using a photolysis spectrometer
(PFS-100, Focused Photonics Inc., Hangzhou, China). These were calculated by
multiplying the actinic flux <inline-formula><mml:math id="M88" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>, quantum yield <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow></mml:math></inline-formula>) and the
known absorption cross section <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow></mml:math></inline-formula>). The measurements
included the photolysis rate constants <inline-formula><mml:math id="M91" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> (O<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D), <inline-formula><mml:math id="M93" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> (HCHO_M), <inline-formula><mml:math id="M94" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> (HCHO_R), <inline-formula><mml:math id="M95" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), <inline-formula><mml:math id="M97" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> (H<inline-formula><mml:math id="M98" 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="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), <inline-formula><mml:math id="M100" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> (HONO), <inline-formula><mml:math id="M101" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>
(NO<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>_M), and <inline-formula><mml:math id="M103" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> (NO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_R), and the
spectral band ranged from 270 to 790 nm. Hemispherical (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula> sr) angular
response deviations were within <inline-formula><mml:math id="M106" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5 %. The photolysis rate
constants with _R and _M  represented a radical
photolysis channel and molecular photolysis channel, respectively.
Specifically, HCHO was removed by the Reactions (R1) and (R2), and NO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
was removed by the Reactions (R3) and (R4), respectively
(Röckmann et al., 2010).


                <disp-formula specific-use="gather" content-type="numbered reaction"><mml:math id="M108" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>⟶</mml:mo><mml:mi mathvariant="normal">CHO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">H</mml:mi><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>⟶</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">M</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><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">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>⟶</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi mathvariant="normal">P</mml:mi><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>⟶</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">_</mml:mi><mml:mi mathvariant="normal">M</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The O<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was determined by an ultraviolet photometric analyzer
(model 49<inline-formula><mml:math id="M110" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, Thermo Environmental Instruments (TEI) Inc.), and the  limit of the
instrument is 1.0 ppb. The NO concentration was determined by a
chemiluminescence analyzer (TEI model 42<inline-formula><mml:math id="M111" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>) with a molybdenum converter. The
detection limit and the uncertainty of the TEI model 42<inline-formula><mml:math id="M112" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> were 0.5 ppb and 10 %, respectively. Although the TEI model 42<inline-formula><mml:math id="M113" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> also measures the
concentration of NO<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, this value might actually include other active
nitrogen components  (Villena et al., 2012). As expected, the
NO<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> concentration measured by IBBCEAS had the same trend as the
NO<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measured by TEI 42<inline-formula><mml:math id="M117" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, and NO<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration measured by IBBCEAS
was always lower than that by TEI 42<inline-formula><mml:math id="M119" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> (Supplement Fig. S1). Therefore, the NO<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>
concentration as measured by IBBCEAS was used in this study. An oscillating
microbalance with a tapered element was applied to determine the PM<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration with uncertainty of 10 %–20 %. Black carbon (BC) was measured
using an Aethalometer at 7 wavelengths (in using 880 nm wavelength). When the tape
was <inline-formula><mml:math id="M122" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 10 %, aethalometer fiber tape was replaced. Meteorological
parameters were determined by an ultrasonic atmospherium (150WX, Airmar,
USA). The time resolution of all instruments was unified to 1 h to
facilitate comparison. Ultraviolet radiation (UV) was determined by a UV
radiometer (Kipp &amp; Zonen, SUV5 Smart UV Radiometer).</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 data</title>
      <?pagebreak page375?><p id="d1e1619">Fig. 2 showed an overview of the determined HONO, NO, NO<inline-formula><mml:math id="M123" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>,
NO<inline-formula><mml:math id="M125" 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>, BC, <inline-formula><mml:math id="M126" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO), temperature (<inline-formula><mml:math id="M127" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), and relative humidity (RH) in
this study. The entire campaign was characterized by a subtropical monsoon
climate with high temperatures (9.82–34.42 <inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and high humidity
(29.24 %–100 %). The mean values (<inline-formula><mml:math id="M129" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> standard deviation) of
temperature and relative humidity were 22.24 <inline-formula><mml:math id="M130" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.41 <inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and
78.35 <inline-formula><mml:math id="M132" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 14.07 %, respectively. Elevated concentrations of NO<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
i.e., up to 156.17 ppb of NO and 172.42 ppb of NO<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, were observed,
possibly due to dense vehicle emissions near this site. The photolysis rate
constants <inline-formula><mml:math id="M135" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D), <inline-formula><mml:math id="M137" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HCHO_M), <inline-formula><mml:math id="M138" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HCHO_R),
<inline-formula><mml:math id="M139" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), <inline-formula><mml:math id="M141" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(H<inline-formula><mml:math id="M142" 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="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), <inline-formula><mml:math id="M144" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO), <inline-formula><mml:math id="M145" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_M), and
<inline-formula><mml:math id="M147" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_R) had the same temporal variation (Fig. S2),
although their orders of magnitude were different. The correlation
coefficients between <inline-formula><mml:math id="M149" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO) and other photolysis rate constants were above
0.965 (not shown). Both <inline-formula><mml:math id="M150" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO) and UV peaked around noon, and the maximum of
<inline-formula><mml:math id="M151" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO) (2.02 <inline-formula><mml:math id="M152" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and UV (55.62 W m<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
appeared at 13:00 LT on 11 March 2019, and 12:00 LT on 14 August 2018,
respectively. This area was dominated by photochemical pollution, while
particulate pollution was relatively light. No haze episodes occurred
across four seasons with 111 d, because daily mass concentration of
PM<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was lower than the National Ambient Air Quality Standard (Class
II: 75 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M158" 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 O<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, 10 episodes occurred with
8 h maximum concentrations of O<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> exceeding the Class II: 160 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M162" 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>. Maximum mixing ratio of O<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was 113.81 ppb,
occurring in the afternoon with strong ultraviolet radiation (42.72 W m<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and a low NO concentration (0.75 ppb) of titrating O<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. In
general, the level of pollutants in this area was relatively low.
Campaign-averaged levels of NO<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>, NO, NO<inline-formula><mml:math id="M167" 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>, PM<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>,
O<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and BC were 14.99 <inline-formula><mml:math id="M170" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.93 ppb, 5.80 <inline-formula><mml:math id="M171" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.98 ppb, 5.59 <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.26 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M174" 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>, 27.78 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 17.95 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M177" 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>, 28.29 <inline-formula><mml:math id="M178" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21.14 ppb, and 1.67 <inline-formula><mml:math id="M179" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.97 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. The maximum value of HONO (3.51 ppb) appeared at
08:00 LT on 4 December 2018. The high value of HONO was always accompanied by
relative high values of NO and NO<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or PM<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, BC, and
NO<inline-formula><mml:math id="M184" 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>. The average measured ambient HONO concentration at the
measurement site for all measurement periods was 0.54 <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47 ppb. The
HONO concentration measured at this site was comparable to those measured at
other suburban sites (Liu et al., 2019a; Xu et al., 2015; Nie et al.,
2015; Park et al., 2004), was obviously lower than those measured at urban
sites and industrial site (D. Li et al., 2018; Yu et al., 2009; Hou et al.,
2016; Qin et al., 2009; Wang et al., 2013; Shi et al., 2020; Spataro et al.,
2013; Huang et al., 2017; Wang et al., 2017), and was obviously higher than
those measured at a marine background (Wen et al., 2019), marine
boundary layer (Ye et al., 2016), and remote coastal region (Meusel et al.,
2016), as shown in Table S1 in the Supplement.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2184">Time series of relative humidity (RH), temperature (<inline-formula><mml:math id="M186" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), <inline-formula><mml:math id="M187" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO),
UV, HONO, NO<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NO, NO<inline-formula><mml:math id="M189" 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>, PM<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and black
carbon (BC) in Xiamen, China, in August, October, and December 2018 and
March 2019. The missing data are mainly due to instrument maintenance.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f02.png"/>

        </fig>

      <p id="d1e2247">As shown in Table 1, in the daytime (06:00–18:00 LT, including 06:00 LT), the highest concentration of HONO was found in spring and summer
(0.72 ppb), followed by winter (0.61 ppb) and autumn (0.50 ppb). In short,
the seasonal variation of HONO was well correlated with the seasonality of
RH, with high RH in spring (84.21 %) and summer (84.12 %), followed by
winter (78.13 %) and autumn (69.55 %). In conditions of low RH, the
adsorption rate of NO<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is not as rapid as that of HONO, resulting in a
reduction in the conversion rate of NO<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO and thus a reduction in
the concentration of HONO  (Stutz et al., 2004). This
seasonal variation in HONO concentration was different from those measured
in Jinan (D. Li et al., 2018), Nanjing (Liu et al.,
2019a), and Hong Kong  (Xu et al., 2015). The elevated
HONO concentrations in summer, when there is strong solar radiation,
suggests the existence of strong sources of HONO and its important
contribution to the production of OH radicals. Interestingly, the HONO
concentration in the nighttime was lower than that in the daytime in all
four seasons. Similar results were found in Hong Kong, which is also a
coastal city  (Xu et al., 2015). However, most previous
studies have found that the HONO concentration at night is significantly
higher than that during the day   (Wang et al., 2015; Liu et al., 2019a; D. Li
et al., 2018; Elshorbany et al., 2009; Acker et al., 2006; Yu et al.,
2009). The higher HONO in the daytime is likely due to the higher NO<inline-formula><mml:math id="M194" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> or
nitrate photolysis as discussed in following section.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2279">Overview of the HONO and NO<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> average concentrations
measured in Xiamen and comparison with other measurements.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.79}[.79]?><oasis:tgroup cols="13">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right" colsep="1"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Date</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">HONO (ppb) </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center" colsep="1">NO<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (ppb) </oasis:entry>
         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center" colsep="1">NO<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (ppb) </oasis:entry>
         <oasis:entry rowsep="1" namest="col9" nameend="col10" align="center" colsep="1">HONO <inline-formula><mml:math id="M206" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col11" nameend="col12" align="center">HONO <inline-formula><mml:math id="M208" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col13">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Day</oasis:entry>
         <oasis:entry colname="col4">Night</oasis:entry>
         <oasis:entry colname="col5">Day</oasis:entry>
         <oasis:entry colname="col6">Night</oasis:entry>
         <oasis:entry colname="col7">Day</oasis:entry>
         <oasis:entry colname="col8">Night</oasis:entry>
         <oasis:entry colname="col9">Day</oasis:entry>
         <oasis:entry colname="col10">Night</oasis:entry>
         <oasis:entry colname="col11">Day</oasis:entry>
         <oasis:entry colname="col12">Night</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
     </oasis:thead>

    
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Xiamen, China   (suburban)</oasis:entry>
         <oasis:entry colname="col2">Aug 2018–Mar 2019</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">0.46</oasis:entry>
         <oasis:entry colname="col5">13.6</oasis:entry>
         <oasis:entry colname="col6">16.3</oasis:entry>
         <oasis:entry colname="col7">20.9</oasis:entry>
         <oasis:entry colname="col8">19.9</oasis:entry>
         <oasis:entry colname="col9">0.061</oasis:entry>
         <oasis:entry colname="col10">0.028</oasis:entry>
         <oasis:entry colname="col11">0.046</oasis:entry>
         <oasis:entry colname="col12">0.024</oasis:entry>
         <oasis:entry colname="col13">This work</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Mar 2019 (spring)</oasis:entry>
         <oasis:entry colname="col3">0.72</oasis:entry>
         <oasis:entry colname="col4">0.51</oasis:entry>
         <oasis:entry colname="col5">18.5</oasis:entry>
         <oasis:entry colname="col6">17.7</oasis:entry>
         <oasis:entry colname="col7">28.6</oasis:entry>
         <oasis:entry colname="col8">24.5</oasis:entry>
         <oasis:entry colname="col9">0.046</oasis:entry>
         <oasis:entry colname="col10">0.032</oasis:entry>
         <oasis:entry colname="col11">0.034</oasis:entry>
         <oasis:entry colname="col12">0.028</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Aug 2018 (summer)</oasis:entry>
         <oasis:entry colname="col3">0.72</oasis:entry>
         <oasis:entry colname="col4">0.51</oasis:entry>
         <oasis:entry colname="col5">11.0</oasis:entry>
         <oasis:entry colname="col6">15.7</oasis:entry>
         <oasis:entry colname="col7">16.6</oasis:entry>
         <oasis:entry colname="col8">18.9</oasis:entry>
         <oasis:entry colname="col9">0.094</oasis:entry>
         <oasis:entry colname="col10">0.031</oasis:entry>
         <oasis:entry colname="col11">0.072</oasis:entry>
         <oasis:entry colname="col12">0.027</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Oct 2018 (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.50</oasis:entry>
         <oasis:entry colname="col4">0.33</oasis:entry>
         <oasis:entry colname="col5">11.4</oasis:entry>
         <oasis:entry colname="col6">14.3</oasis:entry>
         <oasis:entry colname="col7">14.1</oasis:entry>
         <oasis:entry colname="col8">15.1</oasis:entry>
         <oasis:entry colname="col9">0.060</oasis:entry>
         <oasis:entry colname="col10">0.023</oasis:entry>
         <oasis:entry colname="col11">0.048</oasis:entry>
         <oasis:entry colname="col12">0.022</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dec 2018 (winter)</oasis:entry>
         <oasis:entry colname="col3">0.61</oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
         <oasis:entry colname="col5">15.8</oasis:entry>
         <oasis:entry colname="col6">18.3</oasis:entry>
         <oasis:entry colname="col7">28.0</oasis:entry>
         <oasis:entry colname="col8">23.1</oasis:entry>
         <oasis:entry colname="col9">0.036</oasis:entry>
         <oasis:entry colname="col10">0.026</oasis:entry>
         <oasis:entry colname="col11">0.023</oasis:entry>
         <oasis:entry colname="col12">0.022</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jinan, China   (urban)</oasis:entry>
         <oasis:entry colname="col2">Sep 2015–Aug 2016</oasis:entry>
         <oasis:entry colname="col3">0.99</oasis:entry>
         <oasis:entry colname="col4">1.28</oasis:entry>
         <oasis:entry colname="col5">25.8</oasis:entry>
         <oasis:entry colname="col6">31.0</oasis:entry>
         <oasis:entry colname="col7">40.6</oasis:entry>
         <oasis:entry colname="col8">46.4</oasis:entry>
         <oasis:entry colname="col9">0.056</oasis:entry>
         <oasis:entry colname="col10">0.079</oasis:entry>
         <oasis:entry colname="col11">0.035</oasis:entry>
         <oasis:entry colname="col12">0.040</oasis:entry>
         <oasis:entry colname="col13">D. Li et al.  (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sep–Nov 2015 (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.66</oasis:entry>
         <oasis:entry colname="col4">0.87</oasis:entry>
         <oasis:entry colname="col5">23.2</oasis:entry>
         <oasis:entry colname="col6">25.4</oasis:entry>
         <oasis:entry colname="col7">37.5</oasis:entry>
         <oasis:entry colname="col8">38.0</oasis:entry>
         <oasis:entry colname="col9">0.034</oasis:entry>
         <oasis:entry colname="col10">0.049</oasis:entry>
         <oasis:entry colname="col11">0.022</oasis:entry>
         <oasis:entry colname="col12">0.034</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dec 2015–Feb 2016 (winter)</oasis:entry>
         <oasis:entry colname="col3">1.35</oasis:entry>
         <oasis:entry colname="col4">2.15</oasis:entry>
         <oasis:entry colname="col5">34.6</oasis:entry>
         <oasis:entry colname="col6">41.1</oasis:entry>
         <oasis:entry colname="col7">64.8</oasis:entry>
         <oasis:entry colname="col8">78.5</oasis:entry>
         <oasis:entry colname="col9">0.047</oasis:entry>
         <oasis:entry colname="col10">0.056</oasis:entry>
         <oasis:entry colname="col11">0.031</oasis:entry>
         <oasis:entry colname="col12">0.034</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Mar–May 2016 (spring)</oasis:entry>
         <oasis:entry colname="col3">1.04</oasis:entry>
         <oasis:entry colname="col4">1.24</oasis:entry>
         <oasis:entry colname="col5">25.8</oasis:entry>
         <oasis:entry colname="col6">35.8</oasis:entry>
         <oasis:entry colname="col7">36.0</oasis:entry>
         <oasis:entry colname="col8">47.3</oasis:entry>
         <oasis:entry colname="col9">0.052</oasis:entry>
         <oasis:entry colname="col10">0.046</oasis:entry>
         <oasis:entry colname="col11">0.041</oasis:entry>
         <oasis:entry colname="col12">0.035</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Jun–Aug 2016 (summer)</oasis:entry>
         <oasis:entry colname="col3">1.01</oasis:entry>
         <oasis:entry colname="col4">1.20</oasis:entry>
         <oasis:entry colname="col5">19.0</oasis:entry>
         <oasis:entry colname="col6">22.5</oasis:entry>
         <oasis:entry colname="col7">25.8</oasis:entry>
         <oasis:entry colname="col8">29.1</oasis:entry>
         <oasis:entry colname="col9">0.079</oasis:entry>
         <oasis:entry colname="col10">0.106</oasis:entry>
         <oasis:entry colname="col11">0.049</oasis:entry>
         <oasis:entry colname="col12">0.060</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Nanjing, China   (suburban)</oasis:entry>
         <oasis:entry colname="col2">Nov  2017–Nov 2018</oasis:entry>
         <oasis:entry colname="col3">0.57</oasis:entry>
         <oasis:entry colname="col4">0.80</oasis:entry>
         <oasis:entry colname="col5">13.9</oasis:entry>
         <oasis:entry colname="col6">18.9</oasis:entry>
         <oasis:entry colname="col7">19.3</oasis:entry>
         <oasis:entry colname="col8">24.9</oasis:entry>
         <oasis:entry colname="col9">0.044</oasis:entry>
         <oasis:entry colname="col10">0.045</oasis:entry>
         <oasis:entry colname="col11">0.036</oasis:entry>
         <oasis:entry colname="col12">0.041</oasis:entry>
         <oasis:entry colname="col13">Liu et al. (2019a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dec–Feb (winter)</oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4">1.15</oasis:entry>
         <oasis:entry colname="col5">23.1</oasis:entry>
         <oasis:entry colname="col6">28.4</oasis:entry>
         <oasis:entry colname="col7">37.7</oasis:entry>
         <oasis:entry colname="col8">45.5</oasis:entry>
         <oasis:entry colname="col9">0.038</oasis:entry>
         <oasis:entry colname="col10">0.040</oasis:entry>
         <oasis:entry colname="col11">0.025</oasis:entry>
         <oasis:entry colname="col12">0.029</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Mar–May (spring)</oasis:entry>
         <oasis:entry colname="col3">0.59</oasis:entry>
         <oasis:entry colname="col4">0.76</oasis:entry>
         <oasis:entry colname="col5">12.9</oasis:entry>
         <oasis:entry colname="col6">17.4</oasis:entry>
         <oasis:entry colname="col7">15.9</oasis:entry>
         <oasis:entry colname="col8">19.1</oasis:entry>
         <oasis:entry colname="col9">0.049</oasis:entry>
         <oasis:entry colname="col10">0.048</oasis:entry>
         <oasis:entry colname="col11">0.042</oasis:entry>
         <oasis:entry colname="col12">0.046</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Jun–Aug (summer)</oasis:entry>
         <oasis:entry colname="col3">0.34</oasis:entry>
         <oasis:entry colname="col4">0.56</oasis:entry>
         <oasis:entry colname="col5">7.7</oasis:entry>
         <oasis:entry colname="col6">12.5</oasis:entry>
         <oasis:entry colname="col7">9.1</oasis:entry>
         <oasis:entry colname="col8">13.5</oasis:entry>
         <oasis:entry colname="col9">0.051</oasis:entry>
         <oasis:entry colname="col10">0.048</oasis:entry>
         <oasis:entry colname="col11">0.045</oasis:entry>
         <oasis:entry colname="col12">0.046</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sep–Nov (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.51</oasis:entry>
         <oasis:entry colname="col4">0.81</oasis:entry>
         <oasis:entry colname="col5">13.4</oasis:entry>
         <oasis:entry colname="col6">18.9</oasis:entry>
         <oasis:entry colname="col7">17.7</oasis:entry>
         <oasis:entry colname="col8">25.1</oasis:entry>
         <oasis:entry colname="col9">0.035</oasis:entry>
         <oasis:entry colname="col10">0.044</oasis:entry>
         <oasis:entry colname="col11">0.029</oasis:entry>
         <oasis:entry colname="col12">0.039</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hong Kong, China</oasis:entry>
         <oasis:entry colname="col2">Aug 2011 (summer)</oasis:entry>
         <oasis:entry colname="col3">0.70</oasis:entry>
         <oasis:entry colname="col4">0.66</oasis:entry>
         <oasis:entry colname="col5">18.1</oasis:entry>
         <oasis:entry colname="col6">21.8</oasis:entry>
         <oasis:entry colname="col7">29.3</oasis:entry>
         <oasis:entry colname="col8">29.3</oasis:entry>
         <oasis:entry colname="col9">0.042</oasis:entry>
         <oasis:entry colname="col10">0.031</oasis:entry>
         <oasis:entry colname="col11">0.028</oasis:entry>
         <oasis:entry colname="col12">0.025</oasis:entry>
         <oasis:entry colname="col13">Xu et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Nov 2011 (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.89</oasis:entry>
         <oasis:entry colname="col4">0.95</oasis:entry>
         <oasis:entry colname="col5">29.0</oasis:entry>
         <oasis:entry colname="col6">27.2</oasis:entry>
         <oasis:entry colname="col7">40.6</oasis:entry>
         <oasis:entry colname="col8">37.2</oasis:entry>
         <oasis:entry colname="col9">0.030</oasis:entry>
         <oasis:entry colname="col10">0.034</oasis:entry>
         <oasis:entry colname="col11">0.021</oasis:entry>
         <oasis:entry colname="col12">0.028</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Feb 2012 (winter)</oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4">0.88</oasis:entry>
         <oasis:entry colname="col5">25.8</oasis:entry>
         <oasis:entry colname="col6">22.2</oasis:entry>
         <oasis:entry colname="col7">48.3</oasis:entry>
         <oasis:entry colname="col8">37.8</oasis:entry>
         <oasis:entry colname="col9">0.035</oasis:entry>
         <oasis:entry colname="col10">0.036</oasis:entry>
         <oasis:entry colname="col11">0.020</oasis:entry>
         <oasis:entry colname="col12">0.025</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">May 2012 (spring)</oasis:entry>
         <oasis:entry colname="col3">0.40</oasis:entry>
         <oasis:entry colname="col4">0.33</oasis:entry>
         <oasis:entry colname="col5">15.0</oasis:entry>
         <oasis:entry colname="col6">14.7</oasis:entry>
         <oasis:entry colname="col7">21.1</oasis:entry>
         <oasis:entry colname="col8">19.1</oasis:entry>
         <oasis:entry colname="col9">0.030</oasis:entry>
         <oasis:entry colname="col10">0.022</oasis:entry>
         <oasis:entry colname="col11">0.022</oasis:entry>
         <oasis:entry colname="col12">0.019</oasis:entry>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Guangzhou, China   (urban)</oasis:entry>
         <oasis:entry colname="col2">Jun 2006</oasis:entry>
         <oasis:entry colname="col3">2.00</oasis:entry>
         <oasis:entry colname="col4">3.50</oasis:entry>
         <oasis:entry colname="col5">30.0</oasis:entry>
         <oasis:entry colname="col6">20.0</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">0.067</oasis:entry>
         <oasis:entry colname="col10">0.175</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
         <oasis:entry colname="col12">–</oasis:entry>
         <oasis:entry colname="col13">Qin et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Xi'an, China</oasis:entry>
         <oasis:entry colname="col2">Jul–Aug 2015</oasis:entry>
         <oasis:entry colname="col3">1.57</oasis:entry>
         <oasis:entry colname="col4">0.51</oasis:entry>
         <oasis:entry colname="col5">24.7</oasis:entry>
         <oasis:entry colname="col6">15.4</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">0.062</oasis:entry>
         <oasis:entry colname="col10">0.033</oasis:entry>
         <oasis:entry colname="col11">–</oasis:entry>
         <oasis:entry colname="col12">–</oasis:entry>
         <oasis:entry colname="col13">Huang et al.  (2017)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Santiago, Chile   (urban)</oasis:entry>
         <oasis:entry colname="col2">Mar–Jun 2005</oasis:entry>
         <oasis:entry colname="col3">1.50</oasis:entry>
         <oasis:entry colname="col4">3.00</oasis:entry>
         <oasis:entry colname="col5">20.0</oasis:entry>
         <oasis:entry colname="col6">30.0</oasis:entry>
         <oasis:entry colname="col7">40.0</oasis:entry>
         <oasis:entry colname="col8">200.0</oasis:entry>
         <oasis:entry colname="col9">0.075</oasis:entry>
         <oasis:entry colname="col10">0.100</oasis:entry>
         <oasis:entry colname="col11">0.038</oasis:entry>
         <oasis:entry colname="col12">0.015</oasis:entry>
         <oasis:entry colname="col13">Elshorbany et al. (2009)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Rome, Italy   (urban)</oasis:entry>
         <oasis:entry colname="col2">May–Jun 2001</oasis:entry>
         <oasis:entry colname="col3">0.15</oasis:entry>
         <oasis:entry colname="col4">1.00</oasis:entry>
         <oasis:entry colname="col5">4.0</oasis:entry>
         <oasis:entry colname="col6">27.2</oasis:entry>
         <oasis:entry colname="col7">4.2</oasis:entry>
         <oasis:entry colname="col8">51.2</oasis:entry>
         <oasis:entry colname="col9">0.038</oasis:entry>
         <oasis:entry colname="col10">0.037</oasis:entry>
         <oasis:entry colname="col11">0.024</oasis:entry>
         <oasis:entry colname="col12">0.020</oasis:entry>
         <oasis:entry colname="col13">Acker et al. (2006)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kathmandu, Nepal   (urban)</oasis:entry>
         <oasis:entry colname="col2">Jan–Feb 2003</oasis:entry>
         <oasis:entry colname="col3">0.35</oasis:entry>
         <oasis:entry colname="col4">1.74</oasis:entry>
         <oasis:entry colname="col5">8.6</oasis:entry>
         <oasis:entry colname="col6">17.9</oasis:entry>
         <oasis:entry colname="col7">13.0</oasis:entry>
         <oasis:entry colname="col8">20.1</oasis:entry>
         <oasis:entry colname="col9">0.041</oasis:entry>
         <oasis:entry colname="col10">0.097</oasis:entry>
         <oasis:entry colname="col11">0.027</oasis:entry>
         <oasis:entry colname="col12">0.087</oasis:entry>
         <oasis:entry colname="col13">Yu et al. (2009)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.78}[.78]?><table-wrap-foot><p id="d1e2291">Note: night (18:00–06:00 LT, including 18:00 LT); day (06:00–18:00 LT,
including 06:00 LT).
NO<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M197" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (IBBCEAS) <inline-formula><mml:math id="M199" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO (Thermal 42<inline-formula><mml:math id="M200" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>). IBBCEAS measures both HONO and
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>. The NO<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration is always overestimated by the Thermo
Fisher 42<inline-formula><mml:math id="M203" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula></p></table-wrap-foot><?xmltex \end{scaleboxenv}?><table-wrap-foot><p id="d1e2510">
          .
        </p></table-wrap-foot></table-wrap>

      <p id="d1e3551">The ratio of HONO to NO<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> or the ratio of HONO to NO<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> have been
extensively applied to indicate heterogeneous conversion of 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> to HONO
(Li et al., 2012; Liu et al., 2019a; Zheng et al., 2020). Compared with
the HONO <inline-formula><mml:math id="M213" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 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> ratio, the HONO <inline-formula><mml:math id="M215" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio can better avoid the
influence of primary emissions  (Liu et al., 2019a). In this
study, the HONO <inline-formula><mml:math id="M217" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios during the day were higher than those during
the night, indicating that light promotes the conversion of NO<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> to
HONO. The highest daytime HONO <inline-formula><mml:math id="M220" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio was found in summer (0.072),
followed in turn by autumn (0.048), spring (0.034), and winter (0.023). The
elevated HONO <inline-formula><mml:math id="M222" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio in summer indicates a greater net HONO
production (Xu et al., 2015). The low HONO <inline-formula><mml:math id="M224" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio
in winter can probably be ascribed to heavy emissions and high
concentrations of NO in winter (Table 1). The HONO <inline-formula><mml:math id="M226" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios during
every season in Xiamen were in general higher than those found in studies of
other cities, which indicates greater net HONO production in Xiamen.</p>
      <p id="d1e3705">The diurnal patterns of HONO, NO<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, HONO <inline-formula><mml:math id="M229" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and
<inline-formula><mml:math id="M231" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) averaged for every hour in each season are shown in
Fig. 3. As shown in Fig. 3a, the HONO concentration had similar diurnal
variation patterns across the four seasons. The maximum values of the HONO
concentration were 1.12 ppb in winter, 1.03 ppb in summer, 0.98 ppb in
spring, and 0.65 ppb in autumn, and these occurred in the morning rush hour
(07:00–08:00 LT), which indicates that direct vehicle emissions may be a
significant source of HONO. The contribution of direct vehicle emissions to
HONO will be quantified in Sect. 3.2. The HONO concentration reduced rapidly
from the morning rush hour to sunset, and this was caused by rapid
photolysis combined with increased height of the boundary layer. The minimum
values of HONO concentration were 0.47 ppb in spring, 0.23 ppb in winter,
0.21 ppb in summer, and 0.14 ppb in autumn, and these appeared at sunset,
between 16:00 and 18:00 LT. The HONO concentration increased gradually after
sunset, which indicates that release from HONO sources exceeded its dry
deposition (Wang et al., 2017). There was a slight difference in the
diurnal variation of HONO between autumn and the other seasons. A rapid
reduction of HONO after the morning rush hour was found in spring, summer,
and winter. In comparison, the HONO in autumn had an almost constant
concentration between 07:00 and 11:00 LT because NO<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> decreased slowly
during this period.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3761">Diurnal variations in <bold>(a)</bold> HONO, <bold>(b)</bold> NO (hollow markers and dashed
lines) and NO<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (solid markers/lines), <bold>(c)</bold> HONO <inline-formula><mml:math id="M235" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and <bold>(d)</bold> <inline-formula><mml:math id="M237" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>). The
gray shading indicates nighttime (18:00–06:00 LT, including 18:00 LT).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f03.png"/>

        </fig>

      <?pagebreak page377?><p id="d1e3824">As shown in Fig. 3b, NO<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration followed an expected profile in
the four seasons, with peaks of 45.58 ppb in winter, 40.47 ppb in spring,
32.47 ppb in summer, and 20.07 ppb in autumn, each occurring in the morning
rush hour at 10:00, 09:00, 08:00, and 07:00 LT, respectively. After
these peaks, NO<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> decreased during the day in each season, probably due
to photochemical transformation and increasing boundary-layer depth. The
NO<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations then began to rise from their minima of 8.20 ppb in
summer, 8.85 ppb in autumn, 18.10 ppb in winter, and 23.09 ppb in spring
after 14:00, 13:00, 15:00, and 16:00 LT, respectively, which was
caused by a combination of weak photochemical transformation and reduction
in the boundary-layer depth. The NO<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations during winter and
spring were significantly higher than those during autumn and summer. Both
the maxima and minima of NO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> appeared later in spring and winter
compared with summer and autumn.</p>
      <p id="d1e3873">It is possible to better describe the behavior of HONO using the
HONO <inline-formula><mml:math id="M244" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio. The higher HONO <inline-formula><mml:math id="M246" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio found at noon in the
different seasons, especially in summer and autumn (Fig. 3c), indicates an
additional daytime HONO source (Liu et al., 2019a; Xu et al., 2015). It is
worth noting that the maximum value of this ratio in summer (0.147) was
significantly higher than the maximum in other seasons, especially in winter
(0.034). Figure 3d shows that the value of the HONO <inline-formula><mml:math id="M248" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio increased
with the photolysis rate constant of NO<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in summer and autumn,
suggesting that the additional HONO source is probably correlated with light
(Xu et al., 2015; Wang et al., 2017; D. Li et al., 2018; Li et al., 2012).
The increase in the HONO <inline-formula><mml:math id="M251" display="inline"><mml:mo>/</mml:mo></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> ratio during the day can be seen more
clearly in Fig. 4, and its high value indicates a high HONO production
efficiency, which cannot be ascribed to 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> conversion due to the weak
correlation between HONO 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> in summer. Furthermore, high
HONO <inline-formula><mml:math id="M255" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratios were accompanied by high <inline-formula><mml:math id="M257" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) in summer, which
indicates that HONO formation during the daytime is more likely to relate
to light rather than Reaction (R5).
            <disp-formula id="Ch1.R5" content-type="numbered reaction"><label>R5</label><mml:math id="M259" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><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:mover><mml:mo movablelimits="false">⟶</mml:mo><mml:mi mathvariant="normal">surf</mml:mi></mml:mover><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>
          However, the observed maxima can also be ascribed to sources independent
from NO<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration, such as soil emissions (Su et al., 2011)
and photolysis of particulate nitrate (Zhou et al., 2011; Ye et al.,
2016), which are not influenced by the decrease in NO<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentration
around noon. A more specific discussion of daytime HONO sources considering
the photolysis of particulate nitrate will be given in Sect. 3.4.3. The HONO
emissions from soil were estimated to be 2–5 ppb h<inline-formula><mml:math id="M262" 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> (Su et al.,
2011). However, soil emission was a negligible source of HONO in this study
since the surrounding soil is not used for agriculture, and this greatly
reduces the amount of HONO released due to the lack of a fertilization process
(Su et al., 2011).</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="d1e4075">Scatter plots of NO<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> versus HONO color coded by
<inline-formula><mml:math id="M264" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>). The three dashed lines represent 10 %, 5 %, and 1 %
ratios of HONO <inline-formula><mml:math id="M266" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Daytime was 06:00–18:00 LT, including 06:00 LT.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f04.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page378?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Direct vehicle emission of HONO</title>
      <p id="d1e4135">The K<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> levels were 0.26, 0.13, 0.14, and 0.24 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M270" 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 spring, summer, autumn, and winter, respectively. The K<inline-formula><mml:math id="M271" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> levels
during the four seasons were lower than 2 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M273" 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>, which
indicated that biomass burning has little effect on this site (Xu et
al., 2019). Hence, only vehicle emissions were considered in this study. The
consistent diurnal variations in HONO and NO<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> presented in Sect. 3.1
(Fig. 3) also indicate HONO emissions from local traffic. Five criteria were
applied to choose cases that guaranteed the presence of fresh plumes (Xu
et al., 2015; Liu et al., 2019a): (1) UV <inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 10 W m<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; (2) short-duration air masses (<inline-formula><mml:math id="M277" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 2 h); (3) HONO
correlating well with NO<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M280" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 0.60, <inline-formula><mml:math id="M281" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M282" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 0.05); (4) NO<inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 20 ppb (highest 25 % of NO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
value); and (5) <inline-formula><mml:math id="M286" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO <inline-formula><mml:math id="M287" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M288" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M290" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 0.85. A total of
23 cases met these strict criteria for estimation of the HONO vehicle
emission ratios. The slopes of scatter plots of HONO vs. NO<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> were used
as the emission factors.</p>
      <?pagebreak page379?><p id="d1e4347">A total of 23 vehicle emission plumes were summarized in Table 2, and these
were used for estimation of the vehicle emission ratios. These plumes were
considered to be truly fresh because the mean <inline-formula><mml:math id="M292" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO <inline-formula><mml:math id="M293" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
ratio (the linear slope of NO with NO<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) of the selected air masses was 99 %. Vehicle plumes unavoidably mixing with other air masses resulted in
the correlation coefficients (<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) between HONO and NO<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> varying
among the cases, and these ranged from 0.64 to 0.92. The obtained <inline-formula><mml:math id="M299" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M300" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M301" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios (the linear slope of HONO with NO<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) ranged
from 0.24 % to 2.95 %, with an average value (<inline-formula><mml:math id="M304" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>SD) of
(1.45 <inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.78) %. These <inline-formula><mml:math id="M306" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M307" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M308" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios have
comparability to those obtained in Guangzhou (1.4 %,  Qin et
al., 2009; 1.8 %, Li et al., 2012)
and Houston (1.7 %,  Rappenglück et al., 2013) but are
significantly higher than those measured in Jinan (0.53 %,
D. Li et al., 2018) and Santiago (0.8 %, Elshorbany et al., 2009). The types of vehicle
engine, the use of catalytic converters, and different fuels will affect the
vehicle emission factors (Kurtenbacha et al., 2001).
A potential reason for the relatively higher <inline-formula><mml:math id="M310" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M311" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M312" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
values in our study is that heavy-duty diesel vehicles pass by on the
surrounding highway (Rappenglück et al., 2013). It is
necessary to examine the specific vehicle emission factors in target cities
because of these differences in <inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M315" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M316" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios.
Roughly assuming that NO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> mainly arises from vehicle emissions, a mean
<inline-formula><mml:math id="M319" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M320" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M321" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> value of 1.45 % was used as the emission
factor in this study, and this value was adopted to estimate the
contribution of vehicle emissions <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">emis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the HONO concentration using

            <disp-formula id="Ch1.E6" content-type="numbered"><label>1</label><mml:math id="M324" display="block"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">emis</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.0145</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          We can then obtain the corrected HONO concentration (HONO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula>) for
further analysis from the equation
            <disp-formula id="Ch1.E7" content-type="numbered"><label>2</label><mml:math id="M326" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">emis</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e4669">Emission ratios of fresh vehicle plumes <inline-formula><mml:math id="M327" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M328" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M329" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M330" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>.</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="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">Date</oasis:entry>
         <oasis:entry colname="col2">Time</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M331" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO <inline-formula><mml:math id="M332" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M333" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">R<inline-formula><mml:math id="M335" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M336" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M337" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M338" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (%)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(yyyy/mm/dd)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2018/8/1</oasis:entry>
         <oasis:entry colname="col2">07:00–08:55</oasis:entry>
         <oasis:entry colname="col3">1.1621</oasis:entry>
         <oasis:entry colname="col4">0.6897</oasis:entry>
         <oasis:entry colname="col5">2.17</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/8/8</oasis:entry>
         <oasis:entry colname="col2">05:40–05:55</oasis:entry>
         <oasis:entry colname="col3">0.8727</oasis:entry>
         <oasis:entry colname="col4">0.8023</oasis:entry>
         <oasis:entry colname="col5">2.69</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/8/21</oasis:entry>
         <oasis:entry colname="col2">05:00–05:55</oasis:entry>
         <oasis:entry colname="col3">0.8571</oasis:entry>
         <oasis:entry colname="col4">0.7553</oasis:entry>
         <oasis:entry colname="col5">1.14</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/8/31</oasis:entry>
         <oasis:entry colname="col2">23:35–23:55</oasis:entry>
         <oasis:entry colname="col3">1.1861</oasis:entry>
         <oasis:entry colname="col4">0.8130</oasis:entry>
         <oasis:entry colname="col5">1.18</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/10/23</oasis:entry>
         <oasis:entry colname="col2">01:05–01:25</oasis:entry>
         <oasis:entry colname="col3">0.9893</oasis:entry>
         <oasis:entry colname="col4">0.6566</oasis:entry>
         <oasis:entry colname="col5">1.27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/4</oasis:entry>
         <oasis:entry colname="col2">07:20–07:40</oasis:entry>
         <oasis:entry colname="col3">0.9594</oasis:entry>
         <oasis:entry colname="col4">0.8502</oasis:entry>
         <oasis:entry colname="col5">1.11</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/10</oasis:entry>
         <oasis:entry colname="col2">11:00–11:15</oasis:entry>
         <oasis:entry colname="col3">0.8778</oasis:entry>
         <oasis:entry colname="col4">0.6735</oasis:entry>
         <oasis:entry colname="col5">1.79</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/11</oasis:entry>
         <oasis:entry colname="col2">00:00–00:50</oasis:entry>
         <oasis:entry colname="col3">0.9424</oasis:entry>
         <oasis:entry colname="col4">0.6972</oasis:entry>
         <oasis:entry colname="col5">0.58</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/11</oasis:entry>
         <oasis:entry colname="col2">04:00–04:55</oasis:entry>
         <oasis:entry colname="col3">0.9652</oasis:entry>
         <oasis:entry colname="col4">0.7686</oasis:entry>
         <oasis:entry colname="col5">2.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/11</oasis:entry>
         <oasis:entry colname="col2">05:45–06:35</oasis:entry>
         <oasis:entry colname="col3">1.0243</oasis:entry>
         <oasis:entry colname="col4">0.6566</oasis:entry>
         <oasis:entry colname="col5">0.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/11</oasis:entry>
         <oasis:entry colname="col2">06:40–07:40</oasis:entry>
         <oasis:entry colname="col3">0.9992</oasis:entry>
         <oasis:entry colname="col4">0.7067</oasis:entry>
         <oasis:entry colname="col5">1.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/20</oasis:entry>
         <oasis:entry colname="col2">22:50–23:10</oasis:entry>
         <oasis:entry colname="col3">0.9811</oasis:entry>
         <oasis:entry colname="col4">0.7736</oasis:entry>
         <oasis:entry colname="col5">0.97</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/21</oasis:entry>
         <oasis:entry colname="col2">00:45–01:15</oasis:entry>
         <oasis:entry colname="col3">1.0029</oasis:entry>
         <oasis:entry colname="col4">0.8914</oasis:entry>
         <oasis:entry colname="col5">1.54</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/22</oasis:entry>
         <oasis:entry colname="col2">06:40–07:35</oasis:entry>
         <oasis:entry colname="col3">1.0194</oasis:entry>
         <oasis:entry colname="col4">0.7010</oasis:entry>
         <oasis:entry colname="col5">2.36</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/22</oasis:entry>
         <oasis:entry colname="col2">07:40–08:05</oasis:entry>
         <oasis:entry colname="col3">0.9932</oasis:entry>
         <oasis:entry colname="col4">0.7831</oasis:entry>
         <oasis:entry colname="col5">2.94</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/25</oasis:entry>
         <oasis:entry colname="col2">21:00–22:10</oasis:entry>
         <oasis:entry colname="col3">0.9573</oasis:entry>
         <oasis:entry colname="col4">0.8857</oasis:entry>
         <oasis:entry colname="col5">1.64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/26</oasis:entry>
         <oasis:entry colname="col2">03:50–04:15</oasis:entry>
         <oasis:entry colname="col3">1.167</oasis:entry>
         <oasis:entry colname="col4">0.6540</oasis:entry>
         <oasis:entry colname="col5">1.39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/26</oasis:entry>
         <oasis:entry colname="col2">06:45–07:45</oasis:entry>
         <oasis:entry colname="col3">0.9971</oasis:entry>
         <oasis:entry colname="col4">0.8463</oasis:entry>
         <oasis:entry colname="col5">0.92</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/26</oasis:entry>
         <oasis:entry colname="col2">07:55–08:25</oasis:entry>
         <oasis:entry colname="col3">0.9714</oasis:entry>
         <oasis:entry colname="col4">0.6919</oasis:entry>
         <oasis:entry colname="col5">2.95</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018/12/27</oasis:entry>
         <oasis:entry colname="col2">04:50–05:30</oasis:entry>
         <oasis:entry colname="col3">0.9365</oasis:entry>
         <oasis:entry colname="col4">0.7265</oasis:entry>
         <oasis:entry colname="col5">0.76</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019/3/6</oasis:entry>
         <oasis:entry colname="col2">07:30–08:05</oasis:entry>
         <oasis:entry colname="col3">1.0309</oasis:entry>
         <oasis:entry colname="col4">0.8283</oasis:entry>
         <oasis:entry colname="col5">0.74</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019/3/9</oasis:entry>
         <oasis:entry colname="col2">07:50–08:05</oasis:entry>
         <oasis:entry colname="col3">0.9933</oasis:entry>
         <oasis:entry colname="col4">0.9203</oasis:entry>
         <oasis:entry colname="col5">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019/3/9</oasis:entry>
         <oasis:entry colname="col2">12:00–12:55</oasis:entry>
         <oasis:entry colname="col3">0.9627</oasis:entry>
         <oasis:entry colname="col4">0.6444</oasis:entry>
         <oasis:entry colname="col5">0.51</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Nighttime heterogeneous conversion of NO${}_{{2}}$ to HONO}?><title>Nighttime heterogeneous conversion of NO<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><?xmltex \opttitle{Conversion rate of NO${}_{{2}}$ to HONO}?><title>Conversion rate of NO<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO</title>
      <p id="d1e5273">Nighttime HONO<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> concentrations can be estimated from the
heterogeneous conversion reaction  (Meusel et al., 2016; Alicke, 2002; Su
et al., 2008a). Although the mechanism of the nighttime HONO heterogeneous
reaction is unclear, the formula for the heterogeneous conversion
(<inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>) of NO<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO can be expressed as
              <disp-formula id="Ch1.E8" content-type="numbered"><label>3</label><mml:math id="M345" display="block"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:mover accent="true"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M346" display="inline"><mml:mover accent="true"><mml:mrow><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is the mean value
of NO<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration between <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Equation (4) has been
suggested as a way to avoid the interference of direct emissions and
diffusion (Su et al., 2008a):
              <disp-formula id="Ch1.E9" content-type="numbered"><label>4</label><mml:math id="M350" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi>X</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></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:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mover accent="true"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></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:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mfenced close="]" open="["><mml:mi>X</mml:mi></mml:mfenced><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mover accent="true"><mml:mrow><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></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:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></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:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            where <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were the
concentrations of HONO, NO<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and species used for normalization
(including NO<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, and black carbon in this study), respectively,
at time <inline-formula><mml:math id="M356" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>; <inline-formula><mml:math id="M357" display="inline"><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> is the average concentration of reference species
between <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; and <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi>X</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> represents the
conversion rate normalized against reference species <inline-formula><mml:math id="M361" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>  (Su et
al., 2008a). There were 86 cases meeting the criteria. Such a large number
of cases contributes to the statistical analysis of the heterogeneity of
HONO formation. The average values of <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">CO</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">BC</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
were 0.48 % h<inline-formula><mml:math id="M366" 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>, 0.46 % h<inline-formula><mml:math id="M367" 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>, 0.46 % h<inline-formula><mml:math id="M368" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and 0.46 % h<inline-formula><mml:math id="M369" 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. The combined <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>
was 0.46 % h<inline-formula><mml:math id="M371" 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 average <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values obtained
using different normalization methods agreed well. Therefore, an estimation
value of 0.46 % h<inline-formula><mml:math id="M373" 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> should be suitable for the nighttime conversion
rate from NO<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO.</p>
      <p id="d1e6135">We also compared the conversion rates calculated in this study with other
experiments. As shown in Table 3, <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> varied
widely, from 0.29 % h<inline-formula><mml:math id="M376" 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> to 2.40 % h<inline-formula><mml:math id="M377" 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 may be due to
the various kinds of land surface in the various environments. The
<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in Xiamen is comparable to those derived in
Shanghai (0.70 % h<inline-formula><mml:math id="M379" 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>; Wang et al., 2013), Jinan
(0.68 % h<inline-formula><mml:math id="M380" 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>, D. Li et al., 2018), and Hong Kong (0.52 % h<inline-formula><mml:math id="M381" 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>, Xu et al., 2015), less than the values
calculated from most other sites, including Xinken (1.60 % h<inline-formula><mml:math id="M382" 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>,
Su et al., 2008a)), Guangzhou (2.40, Li et al., 2012), Spain (1.50,
Sörgel et al., 2011), Beijing (0.80; Wang et
al., 2017), the eastern Bohai Sea (1.80 % h<inline-formula><mml:math id="M383" 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>, Wen et
al., 2019), and Kathmandu (1.40 % h<inline-formula><mml:math id="M384" 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>, Yu et al.,
2009), but more than the value obtained in Shandong (0.29 % h<inline-formula><mml:math id="M385" 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>,
Wang et al., 2015). The highest <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> was
found in summer, with a value of 0.55 % h<inline-formula><mml:math id="M387" 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 will be explained
in Sect. 3.3.2. Another study also found that the highest
<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> (1.00 % h<inline-formula><mml:math id="M389" 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>) appeared in summer
(Wang et al., 2017).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e6327">Overview of the conversion frequencies from NO<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> to
HONO in Xiamen and comparisons with other studies.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Date</oasis:entry>
         <oasis:entry colname="col3">Conversion rate</oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(% h<inline-formula><mml:math id="M391" 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>)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Xiamen, China</oasis:entry>
         <oasis:entry colname="col2">Aug 2018–Mar 2019</oasis:entry>
         <oasis:entry colname="col3">0.46</oasis:entry>
         <oasis:entry colname="col4">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Mar 2019 (spring)</oasis:entry>
         <oasis:entry colname="col3">0.46</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Aug 2018 (summer)</oasis:entry>
         <oasis:entry colname="col3">0.55</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Oct 2018 (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.44</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dec 2018 (winter)</oasis:entry>
         <oasis:entry colname="col3">0.37</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Xinken, China</oasis:entry>
         <oasis:entry colname="col2">Oct–Nov 2004</oasis:entry>
         <oasis:entry colname="col3">1.60</oasis:entry>
         <oasis:entry colname="col4">Su et al.  (2008b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jinan, China</oasis:entry>
         <oasis:entry colname="col2">Sep 2015–Aug 2016</oasis:entry>
         <oasis:entry colname="col3">0.68</oasis:entry>
         <oasis:entry colname="col4">D. Li et al. (2018)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Mar–May 2016 (spring)</oasis:entry>
         <oasis:entry colname="col3">0.43</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Jun–Aug 2016 (summer)</oasis:entry>
         <oasis:entry colname="col3">0.69</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sep–Nov 2015 (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.75</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dec 2015–Feb 2016 (winter)</oasis:entry>
         <oasis:entry colname="col3">0.83</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Guangzhou, China</oasis:entry>
         <oasis:entry colname="col2">Jun 2006</oasis:entry>
         <oasis:entry colname="col3">2.40</oasis:entry>
         <oasis:entry colname="col4">Li et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Spain</oasis:entry>
         <oasis:entry colname="col2">Nov–Dec 2008</oasis:entry>
         <oasis:entry colname="col3">1.50</oasis:entry>
         <oasis:entry colname="col4">Sörgel et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing, China</oasis:entry>
         <oasis:entry colname="col2">Sep 2015–July 2016</oasis:entry>
         <oasis:entry colname="col3">0.80</oasis:entry>
         <oasis:entry colname="col4">Wang et al. (2017)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Apr–May 2016 (spring)</oasis:entry>
         <oasis:entry colname="col3">0.50</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Jun–Jul 2016 (summer)</oasis:entry>
         <oasis:entry colname="col3">1.00</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sep–Oct  2015 (autumn)</oasis:entry>
         <oasis:entry colname="col3">0.90</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Jan 2016 (winter)</oasis:entry>
         <oasis:entry colname="col3">0.60</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Shandong, China</oasis:entry>
         <oasis:entry colname="col2">Nov 2013–Jan 2014</oasis:entry>
         <oasis:entry colname="col3">0.29</oasis:entry>
         <oasis:entry colname="col4">Wang et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Shanghai, China</oasis:entry>
         <oasis:entry colname="col2">Aug 2010–Jun 2012</oasis:entry>
         <oasis:entry colname="col3">0.70</oasis:entry>
         <oasis:entry colname="col4">Wang et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eastern Bohai Sea, China</oasis:entry>
         <oasis:entry colname="col2">Oct–Nov. 2016</oasis:entry>
         <oasis:entry colname="col3">1.80</oasis:entry>
         <oasis:entry colname="col4">Wen et al. (2019)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Hong Kong, China</oasis:entry>
         <oasis:entry colname="col2">Aug 2011–May 2012</oasis:entry>
         <oasis:entry colname="col3">0.52</oasis:entry>
         <oasis:entry colname="col4">Xu et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kathmandu, Nepal</oasis:entry>
         <oasis:entry colname="col2">Jan–Feb 2003</oasis:entry>
         <oasis:entry colname="col3">1.4</oasis:entry>
         <oasis:entry colname="col4">Yu et al. (2009)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>The influence factors on HONO formation</title>
      <p id="d1e6730">The hydrolysis 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> on wet surfaces producing HONO is first-order
affected by the concentration of NO<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(Finlayson-Pitts et al., 2003; Jenkin et
al., 1988) and the absorption of water on the surfaces
(Finlayson-Pitts et al., 2003; Kleffmann
et al., 1998). A scatter plot of HONO<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M395" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> vs. RH is shown in
Fig. 5. We calculated the top-five HONO<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M398" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratios in every 5 % RH interval based on a method introduced in previous literature (Li
et al., 2012; Stutz et al., 2004), which will reduce the influence of those
circumstances such as advection, the time of the night, and the surface
density. These averaged maxima and standard deviations are shown in Fig. 5
as orange squares, except where data were sparse in a particular 5 % RH
interval.</p>
      <p id="d1e6802">As for autumn and winter, the influence of RH on HONO<inline-formula><mml:math id="M400" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M401" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can
be divided into two parts. The RH promoted an increase in
HONO<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M404" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for RH values less than 77.96 % in autumn and
91.99 % in winter, which is in line with the reaction kinetics of
Reaction (R5). However, RH inhibits the conversion of NO<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO when
RH is higher than a turning point. According to many previous studies, water
droplets will be formed on the surface of the ground or of aerosols when RH
exceeds a certain value, thus resulting in a negative dependence of
HONO<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M408" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on RH  (He et al., 2006; Zhou et
al., 2007). A similar phenomenon was also found in Guangzhou and in Shanghai
(70 %,  Li et al., 2012; Wang et al., 2013) and in Kathmandu and in
Beijing (65 %,  Yu et al., 2009; Wang et al., 2017). However, in
summer, RH appeared to promote the increase in HONO<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M411" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
without a turning point, suggesting that HONO production at night in summer
strongly depends on RH. Another study also found a similar phenomenon in the
summer in Guangzhou  (Qin et al., 2009). This phenomenon might
be caused by water droplets being evaporated by high temperatures. This is
the reason for the highest <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> in summer. As
for spring, the relationship between HONO<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M415" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and RH is very
complicated and needs to be explored further in the future.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e6956">Scatter plots of nighttime HONO<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M418" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratios versus
RH. The average top-five HONO<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M421" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M422" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in every 5 % RH interval
are shown as orange squares, and the error bars show <inline-formula><mml:math id="M423" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SD.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f05.png"/>

          </fig>

      <?pagebreak page381?><p id="d1e7024">It has been found that NH<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> promoted hydrolysis of NO<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
production of HONO and NH<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Xu et al., 2019; L. Li et al.,
2018). The correlations between the HONO<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M429" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 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> ratio, the
NO<inline-formula><mml:math id="M431" 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="M432" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio, and the NH<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration in four seasons
were examined to investigate the influence of NH<inline-formula><mml:math id="M435" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on HONO formation
through promoting hydrolysis of NO<inline-formula><mml:math id="M436" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Only nighttime data with RH above
80 % were chosen to avoid daytime rapid photolysis of HONO and enough
water for NO<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> quick hydrolysis (Xu et al., 2019). As shown in Fig. 6, for summer, the correlations between NH<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and the HONO<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M440" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
ratio was very poor and even negative (<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0438</mml:mn></mml:mrow></mml:math></inline-formula>), and the correlation
between the NO<inline-formula><mml:math id="M443" 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="M444" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio and NH<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was also negative
(<inline-formula><mml:math id="M447" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.2908). These results indicated that NH<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> played a minor role in HONO
production in summer. For autumn, although the NO<inline-formula><mml:math id="M449" 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="M450" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio
correlated well with NH<inline-formula><mml:math id="M452" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.3965) in autumn, the HONO<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M455" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
ratio had a negative correlation with NH<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1305</mml:mn></mml:mrow></mml:math></inline-formula>), which also
indicated that NH<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> played a minor role in HONO production in autumn.
For spring, the correlation coefficient between the HONO<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M461" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M462" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
ratio and the NH<inline-formula><mml:math id="M463" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was the highest among the four seasons
(0.3662), and the correlation between the NO<inline-formula><mml:math id="M464" 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="M465" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio and
the NH<inline-formula><mml:math id="M467" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration was positive (0.1716). These phenomena proved
that NH<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> might promote HONO and NH<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production through
promoting 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> hydrolysis in spring. For winter, positive correlations
were found between NH<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and both the HONO <inline-formula><mml:math id="M473" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M474" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1718</mml:mn></mml:mrow></mml:math></inline-formula>) and
NO<inline-formula><mml:math id="M476" 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="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> ratio (<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2543</mml:mn></mml:mrow></mml:math></inline-formula>), which indicated that NH<inline-formula><mml:math id="M480" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
might promote 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> hydrolysis and HONO production in winter. All in all,
NH<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> might promote NO<inline-formula><mml:math id="M483" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> hydrolysis and HONO production in spring and
winter, whereas NH<inline-formula><mml:math id="M484" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> played a minor role in HONO production in summer
and autumn.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e7598">The correlation between the NH<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> concentration and
HONO <inline-formula><mml:math id="M486" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio (upper) and the correlation between the NH<inline-formula><mml:math id="M488" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
concentration and NO<inline-formula><mml:math id="M489" 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="M490" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 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> (lower) in four seasons. The
scatter points were colored by ambient RH values.</p></caption>
            <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f06.png"/>

          </fig>

      <?pagebreak page383?><p id="d1e7670">As shown in Fig. S3, HONO<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M493" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 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> reached a pseudo-steady state
from 03:00 to 06:00 LT every night. A correlation analysis of
HONO<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M496" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M497" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with PM<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was carried out in the pseudo-steady
state to understand the impact of aerosols on HONO production. Although we
did not measure the aerosol surface density, the aerosol mass concentration
can be used to replace this parameter  (Huang et al., 2017; Park et al.,
2004; Cui et al., 2018). The positive correlation of HONO<inline-formula><mml:math id="M499" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> with
PM<inline-formula><mml:math id="M500" 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="M501" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4987</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 7a) may be a result of atmospheric
physical processes such as convergence and diffusion. Using the
HONO<inline-formula><mml:math id="M502" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M503" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio instead of a single HONO concentration for
correlation analysis with PM<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reduced the impact of physical processes
and indicated the extent of conversion of NO<inline-formula><mml:math id="M506" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO. Therefore, it was
more credible that HONO<inline-formula><mml:math id="M507" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M508" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> would be moderately positively
correlated with PM<inline-formula><mml:math id="M510" 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="M511" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.2331) during the whole observation
period (Fig. 7b). As denoted by larger green squares in the Fig. 7b,
HONO<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M513" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> correlated well with PM<inline-formula><mml:math id="M515" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> when its
concentration was higher than 35 <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M517" 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>
(<inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.4568). The larger the amount of HONO produced by the
heterogeneous reaction of NO<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on the aerosol surface, the better the
correlation between HONO <inline-formula><mml:math id="M520" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M522" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Cui et al., 2018; Wang et al.,
2003; Hou et al., 2016; Li et al., 2012; Nie et al., 2015).</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="d1e7963">The correlation between PM<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and HONO<inline-formula><mml:math id="M524" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <bold>(a)</bold> and
the correlation between PM<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and HONO<inline-formula><mml:math id="M526" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M527" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <bold>(b)</bold>. The
squares depict PM<inline-formula><mml:math id="M529" 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="M530" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 35 <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M532" 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>; all
scattered points are from the time when the ratio of HONO<inline-formula><mml:math id="M533" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M534" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<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>
reached a pseudo-steady state each night (03:00–06:00 LT).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f07.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Daytime sources of HONO</title>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>Budget analysis of HONO</title>
      <p id="d1e8109">Having discussed the nighttime chemical behavior of HONO, we now concentrate
on the daytime chemical behavior of HONO. Here, <inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is used to
stand for the rate of emission from unknown sources. The value of
<inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was estimated based on the balance between sources and sinks
due to its short atmospheric lifetime. The sources are (1) oxidation of NO
by OH (<inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), (2) dark
heterogeneous production (<inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">het</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and (3) direct vehicle
emission (<inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">emis</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>); the sinks are (1) HONO photolysis
(<inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">phot</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>), (2) oxidation of
HONO by OH
(<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>),
and (3) dry deposition (<inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The value of <inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can
then be calculated according to
              <disp-formula id="Ch1.E10" content-type="numbered"><label>5</label><mml:math id="M545" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">het</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">emis</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            where <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 6.0 <inline-formula><mml:math id="M547" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M548" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M549" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecules<inline-formula><mml:math id="M550" 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="M551" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 7.4 <inline-formula><mml:math id="M553" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M554" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M555" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecules<inline-formula><mml:math id="M556" 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="M557" 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>, values cited from a previous
study (Sörgel et al., 2011). The OH concentration
([OH]) was estimated in this study because no data for this value were
available. An improved empirical formula, Eq. (6), was applied to estimate
[OH] using the NO<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HONO concentrations and the photolysis rate
constants (<inline-formula><mml:math id="M559" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>) of NO<inline-formula><mml:math id="M560" 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="M561" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and HONO (Wen et al., 2019).
Equation (6) fully considers the influence of photolysis and precursors on the
concentration of [OH].
              <disp-formula id="Ch1.E11" content-type="numbered"><label>6</label><mml:math id="M562" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><?xmltex \hack{\textstyle}?><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">0.83</mml:mn></mml:msup><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:msup><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">140</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><?xmltex \hack{\textstyle}?><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mstyle><mml:mstyle scriptlevel="+1"><mml:mtable class="substack"><mml:mtr><mml:mtd><?xmltex \hack{\textstyle}?><mml:mn mathvariant="normal">0.41</mml:mn><mml:mo>×</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><?xmltex \hack{\textstyle}?><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:mstyle></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
            During spring, summer, autumn, and
winter, the average midday OH concentrations were 8.86 <inline-formula><mml:math id="M563" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M564" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula>, 1.48 <inline-formula><mml:math id="M565" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M566" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>, 1.36 <inline-formula><mml:math id="M567" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M568" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>, and 6.19 <inline-formula><mml:math id="M569" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M570" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> cm<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>, respectively, which were
within the range of those obtained in other studies varying from 4 <inline-formula><mml:math id="M572" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M573" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> to 1.7 <inline-formula><mml:math id="M574" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M575" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M576" 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> (Tan
et al., 2017; Lu et al., 2013).</p>
      <p id="d1e8887"><inline-formula><mml:math id="M577" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> is the observed
change of HONO concentration (ppb s<inline-formula><mml:math id="M578" 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 value of
<inline-formula><mml:math id="M579" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> is the
concentration difference between the center of one interval (1 min) and the
center of the next interval, and this accounts for changes in concentration
levels (Sörgel et al., 2011). The parameter
<inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be quantified by multiplying the dry deposition rate of HONO by
the observed HONO concentration and then dividing by the mixing layer height
<inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">ground</mml:mi></mml:msubsup><mml:mo>×</mml:mo><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">HONO</mml:mi></mml:mfenced></mml:mrow><mml:mi>H</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>. A value of <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">ν</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">ground</mml:mi></mml:msubsup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2 cm s<inline-formula><mml:math id="M583" 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> was used
for the deposition rate  (Sörgel et al., 2011; Su et al.,
2008a). Although the mixing layer heights during spring, summer, autumn, and
winter were 1074.4, 1173.8, 1494.6, and 1310.4 m, respectively
(Gao, 1999), most HONO cannot reach the height of 200 m due to rapid
photolysis of HONO during the daytime. Therefore, the mixing layer height
200 m was used to parameterize <inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. In summarizing the known HONO
sources, we included the nighttime heterogeneous production as a known
source based on the assumption that the day continues in the same way as the
night (Sörgel et al., 2011). The term
<inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">hete</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was parameterized by NO<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> conversion at night using the
formula <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">hete</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mi>C</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msubsup><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> (Alicke, 2002).</p>
      <p id="d1e9072">Figure 8 shows the contributions of each term in Eq. (7) to the HONO budgets
in different seasons. Photolysis of HONO (<inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">phot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) formed the largest
proportion of the sinks in all four seasons, accounting for 87.85 %,
88.79 %, 88.15 %, and 86.71 % in spring, summer, autumn, and
winter, respectively. The value of <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">phot</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in summer was the highest
(3.60 ppb h<inline-formula><mml:math id="M590" 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>), followed by spring (3.08 ppb h<inline-formula><mml:math id="M591" 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>), autumn (2.38 ppb h<inline-formula><mml:math id="M592" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and winter (2.26
ppb h<inline-formula><mml:math id="M593" 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 oxidation of HONO by OH contributed little to
HONO sinks (2.77 % of all sinks). Dry deposition (<inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">dep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was also very
small (9.35 % of all sinks). As for known sources, <inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was the
main known source in all four seasons, wherein the largest proportion was
found in summer (64.44 %), followed by autumn (53.66 %), spring (53.25
%), and winter (51.73 %). Direct emission was second among the known
sources, accounting for 38.36 %, 27.49 %, 37.02 %, and 40.81 %
in spring, summer, autumn, and winter, respectively. Dark heterogeneous
formation (<inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">hete</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was almost negligible in the daytime, accounting for
approximately 8.31 % of known sources during the whole observation
period. As for unknown sources, these made up the largest proportion of all
sources found in summer (81.25 %), followed by autumn (73.99 %),
spring (70.87 %) and winter (59.28 %).</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="d1e9187">Average diurnal variations of each source (<inline-formula><mml:math id="M597" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 0) and
sink (<inline-formula><mml:math id="M598" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 0) of HONO in the four seasons.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f08.png"/>

          </fig>

      <?pagebreak page385?><p id="d1e9210">It is worth noting that <inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exhibited a maximum around noon in all
seasons. A previous study in Wangdu
(Liu et al., 2019b) also found that
unknown sources of HONO reached a maximum at midday, with the strongest
photolysis rates in summer. This strengthens the validity of the assumption
that the missing HONO formation mechanism is related to a photolytic source
(Michoud et al., 2014). In the present study,
the daily maximum <inline-formula><mml:math id="M600" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value was 4.51 ppb h<inline-formula><mml:math id="M601" 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
summer, followed by 3.51 ppb h<inline-formula><mml:math id="M602" 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 spring,
3.28 ppb h<inline-formula><mml:math id="M603" 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 autumn, and 2.08 ppb h<inline-formula><mml:math id="M604" 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
winter. Average <inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> during the whole observation was 2.32
ppb h<inline-formula><mml:math id="M606" 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 almost at the upper–middle level of
studies reported: 0.5 ppb h<inline-formula><mml:math id="M607" 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 a forest near Jülich,
Germany (Kleffmann, 2005); 0.77 ppb h<inline-formula><mml:math id="M608" 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> at a rural site
in the Pearl River delta, China (Li et
al., 2012); 1.04 ppb h<inline-formula><mml:math id="M609" 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> at a suburban site in Nanjing,
China (Liu et al., 2019a); <inline-formula><mml:math id="M610" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 2 ppb h<inline-formula><mml:math id="M611" 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 Xinken, China (Su et al., 2008a); and 2.95 ppb h<inline-formula><mml:math id="M612" 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 the urban atmosphere of Jinan, China (D. Li et
al., 2018).</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Exploration of possible unknown daytime sources</title>
      <p id="d1e9383">According to the analyses in Sects. 3.1 and 3.4.1, the unknown sources
are likely to be related to light. It was indeed found that the unknown
sources have a good correlation with the parameters related to light. It was
reported in previous studies that particulate nitrate photolysis is a source
of HONO  (Ye et al., 2017, 2016; Scharko et al., 2014; Romer et
al., 2018; McFall et al., 2018). We will discuss the possibility of HONO
being produced by photolysis of particulate nitrate
(<inline-formula><mml:math id="M613" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M614" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_R) <inline-formula><mml:math id="M615" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M616" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M617" 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>) at this site in
this section. There was a logarithmic relationship showing good correlation
between <inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (ppb h<inline-formula><mml:math id="M619" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and
<inline-formula><mml:math id="M620" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M621" 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>_R) <inline-formula><mml:math id="M622" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M623" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M624" 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="M625" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M626" 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> s<inline-formula><mml:math id="M627" 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 spring (<inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.6519)
and summer (<inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.6511), while relatively weak correlation was found
in autumn (<inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.3633) and winter (<inline-formula><mml:math id="M631" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.4186) (Fig. 9). This
result indicated that photolysis of particulate nitrate contributed more in
spring and summer than in autumn and winter. In conditions of relatively
lower <inline-formula><mml:math id="M632" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<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>_R) <inline-formula><mml:math id="M634" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M635" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M636" 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="M637" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased rapidly with increasing <inline-formula><mml:math id="M638" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M639" 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> concentration
and its photolysis rate constant but reached a plateau after a critical
value (<inline-formula><mml:math id="M640" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M641" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_R) <inline-formula><mml:math id="M642" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M643" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M644" 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="M645" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula>  0.5 <inline-formula><mml:math id="M646" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M647" 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> s<inline-formula><mml:math id="M648" 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 summer,
<inline-formula><mml:math id="M649" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M650" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_R) <inline-formula><mml:math id="M651" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M652" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M653" 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="M654" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 0.4 <inline-formula><mml:math id="M655" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M656" 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> s<inline-formula><mml:math id="M657" 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 autumn, and
<inline-formula><mml:math id="M658" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<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>_R) <inline-formula><mml:math id="M660" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M661" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M662" 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="M663" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M664" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M665" 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> s<inline-formula><mml:math id="M666" 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 winter). There was
no obvious turning point in spring, but it could be seen that the growth
rate was declining. This indicated that in conditions that were relatively
cleaner, the missing daytime source of HONO was limited by the
<inline-formula><mml:math id="M667" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M668" 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> concentration and the photolysis rate constant. However,
with enough particulate nitrate providing sufficient precursor or enough
light to stimulate the reaction, the HONO production did not increase as
<inline-formula><mml:math id="M669" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M670" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>_R) <inline-formula><mml:math id="M671" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M672" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M673" 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> increased. Other
generation mechanisms might play leading roles in the condition with enough
particulate nitrate or enough light. It was found in a previous study that
heterogeneous soot photochemistry may contribute to the daytime HONO
concentration (Monge et al., 2010). Black carbon (BC)
values were used as a substitute for soot values
(Sörgel et al., 2011). When BC concentration was
above 2.0 <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M675" 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 missing daytime source of HONO
did not increase as <inline-formula><mml:math id="M676" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<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>_R) <inline-formula><mml:math id="M678" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M679" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M680" 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>
increased. We found that the missing daytime source of HONO correlated
better with BC <inline-formula><mml:math id="M681" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> UV (<inline-formula><mml:math id="M682" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.9269, <inline-formula><mml:math id="M683" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.6356) than with BC
(<inline-formula><mml:math id="M684" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.4776, <inline-formula><mml:math id="M685" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.6071) or UV (<inline-formula><mml:math id="M686" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.8494, <inline-formula><mml:math id="M687" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.4262) alone in autumn and
winter (Fig. S4), probably related to the conversion of NO<inline-formula><mml:math id="M688" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO on
BC enhanced by light.</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="d1e10108">Relationships between the photolysis of particulate nitrate and
<inline-formula><mml:math id="M689" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, colored by BC in spring, summer, autumn, and winter. Red lines
and dashed lines represent logarithmic fitting curve and turning point,
respectively.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f09.png"/>

          </fig>

      <p id="d1e10128">We discuss whether photolysis of particulate nitrate was able to provide
enough additional HONO by estimating the rate of HONO production by nitrate
photolysis in spring and summer  (Zhou et al., 2007; Li et al., 2012; Wang
et al., 2017) using
              <disp-formula id="Ch1.E12" content-type="numbered"><label>7</label><mml:math id="M690" display="block"><mml:mrow><mml:msub><mml:mi>J</mml:mi><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:mo>→</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="italic">υ</mml:mi><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:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M691" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><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:mo>→</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
is the rate of photolysis of
<inline-formula><mml:math id="M692" display="inline"><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:math></inline-formula> to form HONO, <inline-formula><mml:math id="M693" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">υ</mml:mi><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:msub></mml:mrow></mml:math></inline-formula> is the dry deposition
rate of <inline-formula><mml:math id="M694" display="inline"><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:math></inline-formula> during the period
<inline-formula><mml:math id="M695" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M696" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the proportion of the surface exposed to the sun at
midday. Here, we suppose that the surfaces involving
<inline-formula><mml:math id="M697" display="inline"><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:math></inline-formula> were exposed to light by a
factor <inline-formula><mml:math id="M698" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>, taking mixing height <inline-formula><mml:math id="M699" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m and <inline-formula><mml:math id="M700" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">υ</mml:mi><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:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5 cm s<inline-formula><mml:math id="M701" 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> over <inline-formula><mml:math id="M702" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 24 h. We use the mean midday value of
<inline-formula><mml:math id="M703" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 9.72 <inline-formula><mml:math id="M704" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M705" 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="M706" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
<inline-formula><mml:math id="M707" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10.35 <inline-formula><mml:math id="M708" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M709" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in spring and <inline-formula><mml:math id="M710" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 11.51 <inline-formula><mml:math id="M711" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M712" 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="M713" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
<inline-formula><mml:math id="M714" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 2.86 <inline-formula><mml:math id="M715" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M716" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in summer. The photolysis rates
<inline-formula><mml:math id="M717" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><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:mo>→</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
derived from Eq. (8) were 4.83 <inline-formula><mml:math id="M718" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M719" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M720" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and
2.07 <inline-formula><mml:math id="M721" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M722" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M723" 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 spring and summer, respectively.
These values were in the range 6.2 <inline-formula><mml:math id="M724" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M725" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to 5.0 <inline-formula><mml:math id="M726" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M727" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> obtained in a previous study (Ye et
al., 2017), which indicated that particulate nitrate photolysis could be a
likely source for the missing daytime additional HONO formation in spring
and summer. The variability of
<inline-formula><mml:math id="M728" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><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:mo>→</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> may be
caused by chemical composition, acidity, light-absorbing constituents, and
the optical and other physical properties of aerosols.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Parameterization of HONO</title>
      <p id="d1e10697">Through an empirical parameterized formula, we can explore an accurate
parameterization method for HONO, discuss the main control factors for the
HONO concentration and its chemical behavior, and quantify its main sources
and key kinetic parameters. As mentioned in Sect. 3.1, the HONO <inline-formula><mml:math id="M729" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M730" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
ratio is better than HONO <inline-formula><mml:math id="M731" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M732" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as an indicator of HONO generation. In
another study  (Elshorbany et al., 2012), data were collected
from 15 field observations all over the world to establish the correlation
between the HONO <inline-formula><mml:math id="M733" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M734" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio and the HONO concentration in global models.
Therefore, we applied this method in this study to parameterize the HONO
concentration. As shown in Fig. 10, the <inline-formula><mml:math id="M735" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M736" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M737" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M738" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
ratios in the four seasons were close to the calculated value (0.02).
However, there were seasonal variations in the slope, showing a maximum in
summer (2.60 <inline-formula><mml:math id="M739" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M740" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), followed by autumn (2.06 <inline-formula><mml:math id="M741" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M742" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and a minimum in winter (1.59 <inline-formula><mml:math id="M743" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M744" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Except
for in spring, HONO showed good correlation with NO<inline-formula><mml:math id="M745" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, with <inline-formula><mml:math id="M746" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
values ranging from 0.8972 to 0.9621. Therefore, we used slopes of
2.60 <inline-formula><mml:math id="M747" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M748" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 2.06 <inline-formula><mml:math id="M749" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M750" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and 1.59 <inline-formula><mml:math id="M751" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M752" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to parameterize the HONO concentrations in summer, autumn, and
winter, respectively. As for spring, though only a weak correlation between
HONO and NO<inline-formula><mml:math id="M753" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> was found, the majority of the <inline-formula><mml:math id="M754" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>HONO <inline-formula><mml:math id="M755" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M756" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M757" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratios fluctuated round a slope of 0.02 because concentrations of
NO<inline-formula><mml:math id="M758" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> greater than 60 ppb only accounted for 8.83 % of the data.
Therefore, a slope of 0.02 was applied in spring to parameterize the HONO
concentration.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e10967">The ratio of HONO <inline-formula><mml:math id="M759" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M760" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> in the four seasons (correlation
between the average of NO<inline-formula><mml:math id="M761" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> per 10 ppb interval and the average value of
HONO).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e11003">The diurnal variations in the measured values of HONO (black
squares), the estimated values of HONO using the parameterized formula (red
circles), and the estimated values of HONO using the parameterized formula
combined with the main daytime sources (green triangles).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f11.png"/>

        </fig>

      <?pagebreak page387?><p id="d1e11013">As can be seen from Fig. 11, the estimated values are very close to the
observed values in the nighttime in autumn. After sunrise and before noon,
the values observed were higher than the estimated values, and this
difference gradually increases. After noon and before sunset, the values
observed were still higher than the values estimated, but the difference
gradually decreases. This phenomenon was also found in the daytime in spring
and summer, but not in winter. Compared with the daytime, the estimated
values during the nighttime were closer to the observed values in both trend
and value in all four seasons, which further demonstrates that nighttime
HONO is mainly produced from the direct vehicle emissions and heterogeneous
reaction of NO<inline-formula><mml:math id="M762" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on the ground or the surfaces of aerosols. Therefore,
we should pay much more attention to simulation in the daytime. We
distinguish two main sectors, nighttime and daytime, to analyze the factors
affecting the HONO diurnal variation  (Liu, 2017). Although
<inline-formula><mml:math id="M763" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO<inline-formula><mml:math id="M764" display="inline"><mml:mrow><mml:mo>)</mml:mo><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> HONO also correlated well with <inline-formula><mml:math id="M765" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M766" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) <inline-formula><mml:math id="M767" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M768" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in all four seasons in this study and the linear fitting
coefficients fluctuated around 0.01 in all four seasons (Fig. S5), bad
simulation results during the daytime were found (Fig. S6) using
            <disp-formula id="Ch1.E13" content-type="numbered"><label>8</label><mml:math id="M769" display="block"><mml:mrow><mml:mfenced open="[" close="]"><mml:mi mathvariant="normal">HONO</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M770" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> was the linear fitting coefficient between <inline-formula><mml:math id="M771" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO<inline-formula><mml:math id="M772" display="inline"><mml:mrow><mml:mo>)</mml:mo><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> HONO and
<inline-formula><mml:math id="M773" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M774" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) <inline-formula><mml:math id="M775" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M776" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In contrast, excellent simulation results
were found in a previous study using the same formula (Liu, 2017),
which suggests that using the same simulation formula in different regions
may obtain greatly varying results. Equation (8) can be regarded as a combination
of [NO<inline-formula><mml:math id="M777" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>] with <inline-formula><mml:math id="M778" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M779" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) <inline-formula><mml:math id="M780" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M781" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO). <inline-formula><mml:math id="M782" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M783" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) <inline-formula><mml:math id="M784" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M785" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO) stayed relatively
constant (5.48–5.87) in the daytime in four seasons. Therefore,
diurnal variation of [HONO] simulated by Eq. (8) depended on [NO<inline-formula><mml:math id="M786" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>]
(Fig. S7). Equation (8) is only suitable for regions where the diurnal variation
of [NO<inline-formula><mml:math id="M787" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>] is consistent with that of [HONO].</p>
      <p id="d1e11271">As discussed in Sect. 3.4.2, nitrate photolysis was perhaps the source of
HONO in this study. Besides, the difference between the observed value and
the simulated value kept increasing before noon, and the difference began to
decrease after noon, which was consistent with nitrate photolysis.
Therefore, we take the photolysis of nitrate into the HONO concentration
simulation. The specific formulas for the simulation of spring, summer,
autumn, and winter are shown as follows.

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M788" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E14"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">spring</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.00</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">2</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">_</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E15"><mml:mtd><mml:mtext>10</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">summer</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.60</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">2</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">_</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E16"><mml:mtd><mml:mtext>11</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">autumn</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.06</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">2</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">_</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E17"><mml:mtd><mml:mtext>12</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">HONO</mml:mi><mml:mi mathvariant="normal">winter</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.59</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">2</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="italic">_</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            In this way, the daytime simulation results are significantly improved
(Fig. 11). This further demonstrates that the apportionment of HONO sources
is credible. The parameterization described in this work was more reasonable
and can be better used in the future in such coastal sites.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e11582">Comparison of OH formation by photolysis of HONO and O<inline-formula><mml:math id="M789" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in
the four seasons.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/371/2022/acp-22-371-2022-f12.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><?xmltex \opttitle{Comparison of contributions of HONO and O${}_{{3}}$ to OH radicals}?><title>Comparison of contributions of HONO and O<inline-formula><mml:math id="M790" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to OH radicals</title>
      <?pagebreak page388?><p id="d1e11620">Comparing the OH radical production via photolysis of HONO and O<inline-formula><mml:math id="M791" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, the
effect of the high HONO concentrations in the daytime on the tropospheric
oxidation capacity was evaluated  (Ryan et al., 2018). Nitrous
acid is considered to be a crucial source of OH radicals
(Lee et al., 2016). As shown in Eq. (12), OH
production rates from O<inline-formula><mml:math id="M792" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photolysis (<inline-formula><mml:math id="M793" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math id="M794" 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>) were calculated
based on [O<inline-formula><mml:math id="M795" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>], <inline-formula><mml:math id="M796" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M797" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D), and [H<inline-formula><mml:math id="M798" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O]  (Liu et al.,
2019a). Only O(<inline-formula><mml:math id="M799" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D) atoms produced by the O<inline-formula><mml:math id="M800" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photolysis at UV
wavelengths less than 320 nm (Reaction R6) can combine with water to generate OH
radicals (Reaction R7) in the atmosphere. The absolute water concentration was
derived from temperature and RH. The Reaction (R8) rate for N<inline-formula><mml:math id="M801" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is
3.1 <inline-formula><mml:math id="M802" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M803" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M804" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecules<inline-formula><mml:math id="M805" 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="M806" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and for
O<inline-formula><mml:math id="M807" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is 4.0 <inline-formula><mml:math id="M808" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M809" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M810" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecules<inline-formula><mml:math id="M811" 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="M812" 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> (Liu et al.,
2019a). The net OH formation from HONO was estimated by Eq. (13) (Su et
al., 2008a; Sörgel et al., 2011; D. Li et al., 2018; Atkinson et al.,
2004). In addition to the two primary production modes of OH radicals mentioned
above, there are the reaction of organic and hydro-peroxy radicals (RO<inline-formula><mml:math id="M813" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and HO<inline-formula><mml:math id="M814" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) with NO, hydrogen peroxide photolysis, and the ozonolysis of
alkenes  (Hofzumahaus et al., 2009; Gligorovski et al., 2015; Wang et al.,
2018).

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M815" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi>J</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:mfenced><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.Ex2"><mml:mtd><mml:mtext>12</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hspace{1.3cm}}?><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><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:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>]</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Ex3"><mml:mtd><mml:mtext>R6</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mo>→</mml:mo><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>h</mml:mi><mml:mi>v</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">320</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">nm</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Ex4"><mml:mtd><mml:mtext>R7</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</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:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.Ex5"><mml:mtd><mml:mtext>R8</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi>P</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">is</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">or</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mi mathvariant="normal">HONO</mml:mi></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.Ex7"><mml:mtd><mml:mtext>13</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><?xmltex \hack{\hspace{1.9cm}}?><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi></mml:mrow></mml:msub><mml:mo>[</mml:mo><mml:mi mathvariant="normal">HONO</mml:mi><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The diurnal patterns of <inline-formula><mml:math id="M816" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(OH) are shown in Fig. 12. The formation rates of OH
from O<inline-formula><mml:math id="M817" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photolysis peaked at midday at around 0.71, 5.80, 2.21, and
0.48 ppb h<inline-formula><mml:math id="M818" 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 spring, summer, autumn, and winter,
respectively. The variation of <inline-formula><mml:math id="M819" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math id="M820" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) is consistent with
<inline-formula><mml:math id="M821" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M822" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D) (Fig. S8), peaking at midday and in summer on a diurnal and a
seasonal timescale, respectively. For summer and autumn, <inline-formula><mml:math id="M823" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(HONO) had a
similar trend to <inline-formula><mml:math id="M824" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math id="M825" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), peaking at around noon at the time of the
highest <inline-formula><mml:math id="M826" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO), but this was negligible at sunrise and sunset (Fig. S9). For
spring and winter, however, <inline-formula><mml:math id="M827" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(HONO) reached a maximum in the morning
rush hour caused by the combined influences of high HONO concentration and
high <inline-formula><mml:math id="M828" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(HONO). A similar result was also found in southwestern Spain from
mid-November to mid-December 2008  (Sörgel et al.,
2011).The HONO photolysis contributed significantly more OH than O<inline-formula><mml:math id="M829" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
photolysis during the whole daytime in spring, autumn, and winter. In
summer, the HONO photolysis contributed to more OH in the early morning, and
although the O<inline-formula><mml:math id="M830" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photolysis produced more in the afternoon, HONO
photolysis had a considerable effect on OH production. A similar result was
also found in Nanjing in eastern China from November 2017 to November
2018 (Liu et al., 2019a). These results show that HONO
contributes considerably to the atmospheric oxidizing capacity of the
suburban atmosphere of Xiamen. Although HONO concentrations (average:
0.66 ppb) are much lower than O<inline-formula><mml:math id="M831" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations (average: 35.88 ppb)
during 07:00–16:00 LT, daytime HONO photolysis forms significantly more OH
than daytime photolysis of O<inline-formula><mml:math id="M832" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in four seasons except for summer
afternoons. Generally, the mean value of <inline-formula><mml:math id="M833" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(HONO) from 07:00 to 16:00 LT
was 1.89 ppb h<inline-formula><mml:math id="M834" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the average <inline-formula><mml:math id="M835" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">OH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math id="M836" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was
1.14 ppb h<inline-formula><mml:math id="M837" 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>. A similar result was found in Melbourne, where
the peak OH production rate reached 2 ppb h<inline-formula><mml:math id="M838" 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> from 0.4 ppb
HONO (Ryan et al., 2018). The important role of HONO in the
production of OH promotes photochemical peroxyacetyl nitrate formation
(Hu et al., 2020).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e12471">We conducted measurements of HONO in the atmosphere at an IUE supersite in a
coastal city of southeastern China in August, October, and December 2018 and
March 2019, finding an average HONO concentration of 0.54 <inline-formula><mml:math id="M839" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47 ppb
across the whole observation period. Concentrations of HONO in spring and
summer were higher than in winter and autumn, which was consistent with
seasonal variations in RH. Both higher HONO concentrations in the daytime
and the HONO <inline-formula><mml:math id="M840" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M841" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio peaking around noon suggested that additional
sources of HONO might be related to light. It was found that the
contribution from vehicle exhaust emissions (1.45 %) was higher than that
found in most other studies due to the site being surrounded by<?pagebreak page389?> several
expressways with a large number of passing diesel vehicles. The average
nocturnal conversion rate of NO<inline-formula><mml:math id="M842" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to HONO was 0.46 % h<inline-formula><mml:math id="M843" 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 within the range 0.29–2.40 % h<inline-formula><mml:math id="M844" 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> found by other studies. The
HONO<inline-formula><mml:math id="M845" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">corr</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M846" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M847" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio increased with RH and the concentration of
PM<inline-formula><mml:math id="M848" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the nighttime, which indicates that nocturnal
heterogeneous reactions on the surfaces of aerosols are the major source of
HONO. However, dark heterogeneous formation (<inline-formula><mml:math id="M849" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">hete</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was almost
negligible in the daytime, accounting for approximately 8.31 % of known
sources across the whole observation period. <inline-formula><mml:math id="M850" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> made up at the
largest proportion of all sources in summer (81.25 %), autumn (73.99 %), spring (70.87 %), and winter (59.28 %). It was found that there
was a logarithmic relationship between <inline-formula><mml:math id="M851" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">unknown</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and particulate nitrate
photolysis in four seasons. The variation of HONO at night can be accurately
simulated based on the HONO <inline-formula><mml:math id="M852" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M853" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> ratio, while
<inline-formula><mml:math id="M854" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M855" 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>_R) <inline-formula><mml:math id="M856" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M857" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M858" 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> or
<inline-formula><mml:math id="M859" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M860" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M861" 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>_R) <inline-formula><mml:math id="M862" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M863" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>NO<inline-formula><mml:math id="M864" 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>)
should be considered for daytime simulation. Local tropospheric oxidation
capacity was significantly increased by HONO during 07:00–16:00 LT, providing
an OH radical source (1.89 ppb h<inline-formula><mml:math id="M865" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
</sec>

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

      <p id="d1e12737">The observation data at this site are available from the authors upon request.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e12740">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-371-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-22-371-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e12749">BH and JD contributed equally to this work. BH and JD collected the HONO data and analyzed the data. BH wrote the
paper. BH and JD performed the experiments. JD and FW built the IBBCEEAS equipment. YH, MQ, and JC
revised the paper. MQ, PX, and JC designed the
paper. JC supported funding of observation and research.
LX, ML, and YB contributed to discussions of results.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e12755">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="d1e12761">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="d1e12767">This study was funded by the Cultivating Project of Strategic Priority Research Program of the Chinese Academy of Sciences (XDPB1903), the FJIRSM&amp;IUE Joint Research Fund (RHZX-2019-006), the Center for Excellence in Regional Atmospheric Environment, CAS (E0L1B20201), State Key Laboratory of Environmental Chemistry and Ecotoxicology, Research Center for Eco-Environmental Sciences, CAS, and Xiamen Atmospheric Environment Observation and Research Station of Fujian Province.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e12772">This research has been supported by the National
Key Research and Development Program of China (grant
nos. 2017YFC0209400, 2016YFC02005, and 2016YFC0112200)
and the National Natural Science Foundation of China (grant
nos. 41575146 and 41875154). This study was also funded by the Cultivating Project of Strategic Priority Research Program of the Chinese Academy of Sciences (XDPB1903), the FJIRSM&amp;IUE Joint Research Fund (RHZX-2019-006), and the Center for Excellence in Regional Atmospheric Environment, CAS (E0L1B20201).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e12778">This paper was edited by Steven Brown and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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