<?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">
  <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-20-5019-2020</article-id><title-group><article-title>Nitrate-dominated PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and elevation of particle pH observed<?xmltex \hack{\break}?> in urban
Beijing during the winter of 2017</article-title><alt-title>Nitrate-dominated PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> led to pH elevation in winter in Beijing</alt-title>
      </title-group><?xmltex \runningtitle{Nitrate-dominated PM${}_{{2.5}}$ led to pH elevation in winter in Beijing}?><?xmltex \runningauthor{Y.~Xie et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xie</surname><given-names>Yuning</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Gehui</given-names></name>
          <email>ghwang@geo.ecnu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-0181-4685</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Xinpei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Chen</surname><given-names>Jianmin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5859-3070</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Yubao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Tang</surname><given-names>Guiqian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Wang</surname><given-names>Lili</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2308-7404</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ge</surname><given-names>Shuangshuang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xue</surname><given-names>Guoyan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Wang</surname><given-names>Yuesi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Gao</surname><given-names>Jian</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Geographic Information Science of the Ministry of
Education, School of Geographic Sciences,<?xmltex \hack{\break}?> East China Normal University,
Shanghai 200241, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Eco-Chongming, 3663 N. Zhongshan Rd., Shanghai 200062,
China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Environmental Science and Technology, Fudan University,
Shanghai 200438, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>State Key Laboratory of Atmospheric Boundary Layer Physics and
Atmospheric Chemistry,<?xmltex \hack{\break}?> Institute of Atmospheric Physics, Chinese Academy of
Sciences, Beijing 100080, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Chinese Research Academy of Environmental Sciences, Beijing 100000,
China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Gehui Wang (ghwang@geo.ecnu.edu.cn)</corresp></author-notes><pub-date><day>28</day><month>April</month><year>2020</year></pub-date>
      
      <volume>20</volume>
      <issue>8</issue>
      <fpage>5019</fpage><lpage>5033</lpage>
      <history>
        <date date-type="received"><day>6</day><month>June</month><year>2019</year></date>
           <date date-type="rev-request"><day>15</day><month>July</month><year>2019</year></date>
           <date date-type="rev-recd"><day>24</day><month>March</month><year>2020</year></date>
           <date date-type="accepted"><day>28</day><month>March</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 </copyright-statement>
        <copyright-year>2020</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="d1e223">The Chinese government has exerted strict emission controls
to mitigate air pollution since 2013, which has resulted in significant
decreases in the concentrations of air pollutants such as <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Strict
pollution control actions also reduced the average PM<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration
to the low level of 39.7 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in urban Beijing during the winter
of 2017. To investigate the impact of such changes on the physiochemical
properties of atmospheric aerosols in China, we conducted a comprehensive
observation focusing on PM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing during the winter of 2017.
Compared with the historical record (2014–2017), <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decreased to the
low level of 3.2 ppbv in the winter of 2017, but the <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> level was still
high (21.4 ppbv in the winter of 2017). Accordingly, the contribution of nitrate
(23.0 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) to PM<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> far exceeded that of sulfate (13.1 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) during the pollution episodes, resulting in a significant
increase in the nitrate-to-sulfate molar ratio. The thermodynamic model
(ISORROPIA II) calculation results showed that during the PM<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
pollution episodes particle pH increased from 4.4 (moderate acidic) to 5.4
(more neutralized) when the molar ratio of nitrate to sulfate increased from
1 to 5, indicating that aerosols were more neutralized as the nitrate
content elevated. Controlled variable tests showed that the pH elevation
should be attributed to nitrate fraction increase other than crustal ion and
ammonia concentration increases. Based on the results of sensitivity tests, future prediction for the particle acidity change was discussed. We
found that nitrate-rich particles in Beijing at low and moderate humid
conditions (RH: 20 %–50 %) can absorb twice the amount of water that
sulfate-rich particles can, and the nitrate and ammonia with higher levels have
synergetic effects, rapidly elevating particle pH to merely neutral (above
5.6). As moderate haze events might occur more frequently under abundant
ammonia and nitrate-dominated PM<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> conditions, the major chemical
processes during haze events and the control target should be re-evaluated
to obtain the most effective control strategy.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e371">Severe haze pollution has been causing serious environmental problems and
harming public health in China over the past decades (He et al., 2001; Wang et al., 2016; R. Zhang et al., 2015). Therefore, strong actions have
been taken to improve the worsening atmospheric environment, including
cutting down the pollutant emissions with forced installation of catalytic
converters on vehicles, building clean-coal power generation systems,
prohibiting open burning of crop residue during the harvest seasons, etc.
(Chen et al., 2017; Zhang et al., 2012; Liu et al., 2016). As a
result, the PM<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution occurrence has reduced to meet the goals in the
Air Pollution Prevention and Control Action Plan (issued by the<?pagebreak page5020?> State
Council of China, <uri>http://www.gov.cn/zwgk/2013-09/12/content_2486773.htm</uri>, last access: 24 February 2020, in Chinese). Among all the regions of interest, Beijing has
achieved great success in PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> reduction (the annual average
PM<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration of 2017 was 58 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Yet, PM<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration in Beijing is still higher than that in most developed
countries.</p>
      <p id="d1e433">There are many factors contributing to the PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution in China
(Guo et al., 2014; Ding et al., 2013). The PM<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution
across the country is characterized by significantly high secondary formation of
inorganic components (R.-J. Huang et al., 2014). Sulfate, nitrate,
and ammonium (SNA) comprised over 30 % of the PM<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass, and SNA's
fraction continues to increase during pollution evolution
(Cao et al., 2012). While models can predict the
airborne particle pollution in the US or Europe well, it is challenging to
simulate the real atmospheric pollution in China (Wang et al., 2014;
Ervens et al., 2003). Previous modeling studies showed that the simulated
PM<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations were underestimated within the current scheme,
which is related to the important role of heterogeneous reactions in SNA
formation processes (X. Huang et al., 2014; Herrmann et al., 2005). It
was reported that the classical formation mechanism of sulfate in the
atmosphere was through oxidation by <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. But recent studies in
China pointed out that nonclassical formation pathways cannot be ignored.
In Beijing, severe haze events occur with abundant nitrogen species
(<inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, etc.), high relative humidity (RH), and less
active photochemistry (Wang et al., 2016; Cheng et al., 2016). Field
observations, chamber experiments, source apportionments, and numerical
simulations all suggest that the joint effect of <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is important for sulfate formation processes in haze events
(Cheng et al., 2016; Wang et al., 2016; G. Wang et al., 2018; He et al., 2018, Xue et al., 2019). Aqueous oxidation of <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as well as
the catalyzed oxidation by transition metal ions (TMIs) could
be major processes of sulfate formation in Beijing during winter (Wang et al., 2016; Cheng et al., 2016). In addition, although the photochemistry is less
active during haze periods in winter, the extra OH radical provided by HONO
might enhance the atmospheric oxidation capacity and lead to rapid
formation of SNA  (Tan et al., 2018,
Ge et al., 2019). Since these reactions are all sensitive to particle
acidity, adequate quantification of airborne particles' acidity is essential
for elucidating the specific contribution.</p>
      <p id="d1e567">Particle acidity has been widely studied due to its important role in
haze formation and has been widely implemented in major models (Yu
et al., 2005; Oleniacz et al., 2016). Since the practical method of directly
measuring the particle acidity in the real atmosphere is not available
(Wei et al., 2018; Freedman et al., 2019), thermodynamic models have
been mostly used in quantifying the particle acidity. Most models (ISORROPIA II, E-AIM-IV, AIOMFAC, etc.) can predict <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, aerosol liquid water
content (ALWC), and the partitioning of volatile and semi-volatile components,
such as ammonia (Fountoukis and Nenes, 2007; Clegg et al., 2008). These
models' abilities to describe physiochemical properties of airborne
particles have been validated in previous studies (Weber et al., 2016; Guo et al., 2016; Shi et al., 2017; Tao and Murphy, 2019; Murphy et al., 2017). However, several publications using the same method gave different
particle pH values in Beijing, and contradictory conclusions were drawn on
the importance of sulfate formation by <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation.
Cheng et al. (2016) conducted some modeling work and
suggested that the PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pH in Beijing ranges between 5.4 and 6.2,
which is favorable for the aqueous <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation. The <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
oxidation's major contribution and the importance of high ALWC and
sufficient ammonia are supported not only by modeling works, but also by
field observation and chamber studies (Wang et al., 2016; Chen et al., 2019). Conversely,  Liu et al. (2017) simulated the
particle pH during the winter of 2015 and 2016 with the same method and
claimed that pH of the Beijing haze particles was lower (3.0–4.9, average
4.2) and unfavorable for the <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> oxidation mechanism. Based on the
ISORROPIA II model results, which assumed Chinese haze particles to be a
homogeneous inorganic mixture,  Guo et al. (2017) further
concluded that high ammonia cannot increase the particle pH enough for the
aqueous oxidation of <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Recently
Song et al. (2018) reported that the
thermodynamic model (ISORROPIA II) has coding errors, which can lead to the
predicted pH values being negative or above 7. Furthermore, with lab studies and
field observations,  G. Wang et al. (2018)
raised the concern of whether it is appropriate to elucidate sulfate
production for Beijing haze by using particle pH predicted only based on
the inorganic compositions. In fact, since the real atmosphere is affected
by uncountable factors, it is common that particle pH has variation when
simulated with the ambient data. Although the pH predicted by the
thermodynamic models are of uncertainty, it is widely believed that haze
particles in China are moderately acidic and are more neutralized than those
in the US, given that gaseous ammonia is still at a high level relative
to particulate ammonium  (Song et al., 2018).</p>
      <p id="d1e657">Air pollution control in China has entered the second phase – further
mitigation of the moderate haze pollution, which is characterized by high
levels of nitrate and ammonium and a low level of sulfate (Liu et al., 2019; de Foy et al., 2016) due to the efficient <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission control.
Such a change in chemical compositions could significantly alter
physicochemical properties of the atmospheric aerosols in China. This paper
aims to investigate the variation in the particle acidity of PM<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> as
sulfur emission is well controlled and nitrogen oxide emission remains high
in Beijing. First, the compositions of air pollutants, including inorganic
components of PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the winter of 2017 and 2018, were analyzed
and compared with previous studies; then, based on observations, the
response of particle acidity to the elevation of nitrate was studied by
using the ISORROPIA II thermodynamic model; finally, possible changes in
the future are discussed based on the sensitivity tests.</p>
</sec>
<?pagebreak page5021?><sec id="Ch1.S2">
  <label>2</label><title>Sampling site and instrumentation</title>
      <p id="d1e697">The observations were conducted at an urban site – the State Key Laboratory of
Atmospheric Boundary Layer Physics and Atmospheric Chemistry, Institute of
Atmospheric Physics (IAP), Chinese Academy of Sciences (<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mn mathvariant="normal">39</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">58</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">28</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> N, <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mn mathvariant="normal">116</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">22</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">16</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> E) in Beijing. All the
instruments were on the roof of a two-story building. The local emissions
are mainly from vehicles, and the industrial emissions are greatly reduced
since the major factories and power plants have been moved out of Beijing or phased out
due to the emission control policy. Overall, this site represents the
typical atmospheric environment in urban Beijing, and the data
obtained here can be compared with those from previous studies in the city
(Ji et al., 2018).</p>
      <p id="d1e750">A continuous online measurement of atmospheric components was conducted with
a time resolution of 1 h. Two TEOM™ continuous ambient PM monitors
using a PM<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> or PM<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> cyclone inlet (Met One) were applied to obtain
PM<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations (Tang et al., 2016). For trace gases (<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), a series of gas monitors were used for the hourly
measurement (models 49i, 42i, and 43i, respectively) (Tang et al., 2012). Meteorology data,
including ambient temperature, RH, wind speed, wind direction, and total
solar radiation, were measured with an automatic weather station (MILOS520,
Vaisala Inc., Finland) located in the middle of the observation site yard.
Visibility data of Beijing were downloaded from the open database
(<uri>https://gis.ncdc.noaa.gov/maps/ncei/cdo/hourly</uri>, last access: 27 July 2018). Apart from
these online monitors, a high-volume sampler (Tisch Environmental) with a
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> inlet was used to collect PM<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples on a day–night
basis (daytime at 08:00–17:50 and nighttime at 18:00–07:50).</p>
      <p id="d1e844">The inorganic water-soluble components of PM<inline-formula><mml:math id="M53" 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="M54" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and ammonia gas were measured with an online-IC system: IGAC
(in situ gas and aerosol composition monitor, Fortelice International Co.,
Ltd.). The IGAC is comprised of two parts: a sampling unit and an analyzer unit
(Young et al., 2016). A vertical wet annular denuder (WAD) is
used to collect the gas-phase species prior to a scrub and impactor aerosol
collector (SIC), which can efficiently collect particles into liquid
samples. During the campaign, 1 mM <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> solution is used as the
absorption liquid for the air samples. Under most atmospheric conditions,
the absorption liquid can efficiently absorb the target atmospheric
components (e.g., <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). An ICS-5000<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> ion chromatograph is used as
the analyzer unit in this study. For anions, an AS18 column (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, Dionex™ IonPac™) is used while a CS-16
column (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">250</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, Dionex™ IonPac™)
is chosen to analyze major cations, both running with the recommended eluent
(solution of KOH for anion and methane sulfonic acid for cation). The
performance of the IGAC system has been tested and improved over recent
years, and studies of PM<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> water-soluble ion observations have been
conducted by using it (Young et al., 2016; Song et al., 2018; Liu
et al., 2017). A better sensitivity due to the advanced suppression
technology of the system greatly enhances its ability to measure trace ions,
such as sodium and magnesium, which is important in studies of particle ion
balance. For details of the comparison between IGAC and filter sampling
results, please refer to the Supplement (Fig. S1).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Major pollutants' levels</title>
      <p id="d1e1064">We first present the overall time series and statistics of major
pollutants' concentration and meteorological parameters from 15 December 2017 to 25 February 2018. As shown in Fig. 1, during the observation
campaign, Beijing was relatively cold and dry. Due to the frequent cold-air
outbreaks, the average air temperature was around 0<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> with a minimum
of <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, and the RH was low on average (20 %–30 %) with a
maximum of 80 %. The average total solar radiation was 254.3 W m<inline-formula><mml:math id="M71" 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>,
which is typical in Beijing during winter. The wind usually blew from the
north with an average speed of 1.9 m s<inline-formula><mml:math id="M72" 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>, but strong wind (over 5 m s<inline-formula><mml:math id="M73" 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>) frequently occurred on the clean days. Benefiting from the weather
conditions, the atmospheric pollution in Beijing was much weaker than that in
the winter of 2013. Overall, the improvement of the atmospheric environment
was visible: the average visibility was around 15 km during the campaign and
about 7.5 km during the pollution periods.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e1132">Time series of major pollutants during the campaign. <bold>(a)</bold> Radiation, temperature RH, and wind arrows (drawn below); <bold>(b)</bold> PM<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>, and ozone concentration; <bold>(c)</bold> <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f01.png"/>

        </fig>

      <p id="d1e1191">With strict control actions, there were fewer PM<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution episodes,
and its concentration stayed at a low level most of the time in the
winter of 2017. The average concentrations of PM<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and PM<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> were 39.7 and 68.5 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
respectively. According to the PM<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration, three conditions of
the atmospheric environment were classified in this study: clean (the
PM<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was below 35 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), transition (the PM<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was
between about 35  and 75 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and pollution
(the PM<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was above 75 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In the clean, transition, and
pollution periods, the average PM<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations were <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mn mathvariant="normal">52.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">128.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">46.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (as shown in Table 1), indicating that
there was still PM<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution (maximum hourly concentration 298 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) during the winter. The average ozone concentration was
<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.8</mml:mn></mml:mrow></mml:math></inline-formula> ppbv, and its value decreased as PM<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentrations
increased. The average <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula> ppbv) was
almost 10 times lower than that of <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.8</mml:mn></mml:mrow></mml:math></inline-formula> ppbv). This
significant contrast between <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations can be
attributed to the sulfur emission controls over recent years and the fast
increase in gasoline vehicles in Beijing (Cheng et al., 2018; T. Wang
et al., 2018). All gaseous pollutants showed an increasing trend as the
PM<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> concentration increased during the haze episodes. While <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration elevation was the largest,
<inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the most important precursor gases for inorganic
nitrate and sulfate in PM<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Sulfur emission control drastically
reduced the ambient <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration while <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lacked effective
control<?pagebreak page5022?> policy. To better describe this situation, changes in these two
precursor gases during winter are investigated by examining the data from
2014 to 2016 in Beijing. Average values and the standard deviation are
plotted in Fig. 2. <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed a significant decreasing trend in all
three conditions. In 2014, <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration was 3.9,  10.0, and 16.9 ppbv in clean, transition, and pollution periods, respectively. The <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration difference at different pollution levels was narrowing. Until
2017, the difference of <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations between any two of the three
conditions had all been within 10 ppbv. Meanwhile, <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
kept increasing after 2015 in clean and transition conditions, but the
<inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration during the pollution periods of 2017 was unexpectedly
lower than 2014 records. This significant drop of <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in
PM<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution proves the effectiveness of pollution control in 2017,
including construction prohibition, private vehicle restriction, and liquefied natural gas (LNG)
promotions in neighboring regions  (Cheng
et al., 2019).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1682">Statistics plot of <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured in downtown
Beijing at different 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> levels during winter (December–February)
for the past 4 years. Historical data (2014–2016) are from the air quality
real-time publishing platform China National Environmental Monitoring
Center, and data of 2017 have been obtained during the campaign.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f02.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1725">Visibility and concentrations of major pollutants in
Beijing during the winter of 2017.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3">Clean</oasis:entry>
         <oasis:entry colname="col4">Transition</oasis:entry>
         <oasis:entry colname="col5">Pollution</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Visibility (km)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M126" 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="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mn mathvariant="normal">39.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">47.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">52.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">128</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">46.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mn mathvariant="normal">68.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mn mathvariant="normal">42.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">99.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">43.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">153.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">52.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppbv)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppbv)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppbv)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">39.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{PM${}_{{2.5}}$ chemical compositions}?><title>PM<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chemical compositions</title>
      <p id="d1e2220">Compared to several previous reports, the chemical compositions of
PM<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during the winter of 2017 in Beijing changed significantly
(Shao et al., 2018; Elser et al., 2016; Ge et al., 2017; Huang
et al., 2017; Wang et al., 2017). The major inorganic ions of PM<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in
Beijing during the winter of 2017 included ammonium (<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), nitrate (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), sulfate (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and chloride (<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).
Concentrations of the major components increased as the PM<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
concentration increased, but changes in the crustal ion (<inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) concentrations were less significant. <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> increased
during the PM<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution episodes (average concentration: <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), indicating the possible contribution of biomass
burning sources or fireworks during the Chinese New Year. <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
has been used as a tracer for biomass burning and coal consumption. The
concentration of <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (average concentration of <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) increased significantly as PM<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> increased, but the imbalance
of chloride molar concentration and potassium (average <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> of 0.059 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> vs. average <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> of 0.13 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) suggests that
biomass burning might not be the major source of PM<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chloride other
than coal consumption during the 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> pollution episodes in
Beijing.</p>
      <p id="d1e2618">Concentration of sulfate, nitrate, and ammonium greatly increased the
PM<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution. Different from previous records (Wang et al., 2016; R.-J. Huang et al., 2014; Ji et al., 2014), nitrate dominated the
water-soluble ions (WSIs) in the winter of 2017. During pollution episodes,
concentration of nitrate and sulfate were <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.7</mml:mn></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with an average molar ratio of
nitrate to sulfate (Ratio<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>) of around <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula>. Figure 3 shows
the scatter plot of nitrate and sulfate with the total water-soluble ions.
Sulfate comprised a lower fraction when total WSIs were below 65 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, but the fraction increases as WSIs exceed 65 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>,
showing an enhanced formation of sulfate during heavy-pollution episodes.
Interestingly, the ratio of nitrate to WSIs remained the same throughout the
campaign. As the concentrations of other components also increased, this
phenomenon indicated that the nitrate formation was enhanced<?pagebreak page5023?> on hazy days.
In addition, the concentrations of ammonium and ammonia both increased
significantly (ammonium: 0.9  to 10.4 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>;
ammonia: 4.3  to 12.9 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from clean to
pollution conditions.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2773">Scatter plots of nitrate and sulfate vs. WSIs during the campaign.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Comparison of major inorganic compositions during the early 21st
century in Beijing</title>
      <?pagebreak page5024?><p id="d1e2790">To illustrate the changes in chemical compositions of PM<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> during
China's booming economy stage (1999–2017), nitrate, sulfate, and ammonium
are chosen for the comparison with previously reported data during winter in
Beijing (Fig. 4). Only winter-averaged observation data or representative
pollution records are selected for the illustration on changes of secondary inorganic aerosols (SIAs)
compositions. On average, although the concentration might have been varied
due to different emissions and weather conditions over the years, SIA
concentration in the winter of 2017 was the lowest compared with the years
before. Sulfate concentration varied from 4.5 to 25.4 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and contributed the most PM<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> masses among SIA species
during the pollution episodes before 2015. The emission control of <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
started in 2006 to prevent adverse atmospheric environment events such as
acid rain and high particulate matter loading (Wang et al., 2013;
T. Wang et al., 2018). As a result, the sulfate concentration in winter
decreased gradually (see results of 1999, 2011, 2015a, and 2017 shown in Fig. 4) until the record of
recent years is much lower than that in the early 2000s
(detailed literature comparison can be found in  Lang et al., 2017). However, it was widely reported that sulfate still contributed the
most to the PM<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentration during the severe haze periods,
such as during the winter of 2013 (R.-J. Huang et al., 2014; Guo et al., 2014;
Ji et al., 2014). The heterogeneous formation might be responsible for the
enhanced conversion ratio from <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to particulate sulfate, including
the <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-promoted aqueous reaction and transition-metal-catalyzed
oxidations (X. Huang et al., 2014; Xie et al., 2015). On the other
hand, the <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emission in north China significantly increased as the
power consumption and number of vehicles kept increasing. Therefore, nitrate in
PM<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> had been increasing since 2011. The average concentration of
nitrate rose from 7.1  to 29.1 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. By 2015,
the nitrate concentration had exceeded the sulfate concentration, and both
compositions contributed equally to PM mass in winter pollution episodes.
Although the nitrate concentration during pollution periods decreased in
2017 (23.0 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the decrease was not significant and the
concentration was still comparable to that in previous studies. The winter-averaged
ammonium concentration reached the maximum (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in 2015 but decreased afterwards. In a word, as the dominant
composition, the high nitrate fraction has become one of the major features of
PM<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing during winter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2972">Major inorganic compositions in PM<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> observed in Beijing
during winter from representative articles. The results of 2017 denote the
average concentration during haze episodes in this study. For details of the
reviewed literature, please refer to Table S1 in the Supplement.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f04.png"/>

        </fig>

      <p id="d1e2990">The ratio between major SIA components can better represent the composition
change discussed above. As shown in Fig. 5, the nitrate-to-sulfate ratio
(Ratio<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>) has been increasing significantly from below 1.0 to 2.7
(1999 vs. 2017). Ratio<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> was around 1 before 2013 but then steadily
increased after 2013, the same as in previous publications (Shao et al., 2018; Lang et al., 2017). Interestingly, Ratio<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> during pollution
episodes  was lower than the winter average value in 2015, but
Ratio<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> during pollution episodes greatly exceeded the average
value in 2017, showing the dominance of nitrate in the PM<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution.
The rapid increase in Ratio<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> resulted not only from the sulfur
emission control but also from more nitrate partitioning to the particle
phase. Abundant ammonia in Beijing's atmosphere can enhance the partitioning
of nitric acid gas by forming ammonium nitrate. To identify whether the
ammonia is sufficient, the ammonium-to-sulfate ratio (Ratio<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mtext>A-to-S</mml:mtext></mml:msub></mml:math></inline-formula>) is
calculated with the published data as well. It is reported that the North China
Plain experienced ammonia insufficiency during summer (Ratio<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mtext>A-to-S</mml:mtext></mml:msub></mml:math></inline-formula>:
less than 1.5), limiting the formation and partitioning of nitrate into the
particle phase (Pathak et al., 2004, 2009, 2011). However, Ratio<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mtext>A-to-S</mml:mtext></mml:msub></mml:math></inline-formula> in Beijing during winter was always
above 1.5. The lowest value appeared in 1999 (averaged Ratio<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mtext>A-to-S</mml:mtext></mml:msub></mml:math></inline-formula>:
1.7), and then the ratio increased rapidly (above 3) after 2011 (red bars in
Fig. 5). In recent years, the Ratio<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mtext>A-to-S</mml:mtext></mml:msub></mml:math></inline-formula> has reached over 4. This value
is typically observed in the eastern US during winter, though the absolute
concentration is much higher in Beijing (Shah et al., 2018). To sum up, the effective sulfur emission control and ammonia-rich
atmosphere provide a favorable environment for nitrate formation and
eventually change PM<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing from sulfate-dominated to
nitrate-dominated.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3106">Ratio<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> and Ratio<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mtext>A-to-S</mml:mtext></mml:msub></mml:math></inline-formula> calculated from the averaged
data reported in representative research articles. Only the data in
pollution episodes are chosen for 2017.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><?xmltex \opttitle{Aerosol pH's response to the elevation of nitrate fraction in PM${}_{{2.5}}$}?><title>Aerosol pH's response to the elevation of nitrate fraction in PM<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></title>
      <?pagebreak page5025?><p id="d1e3150">The shift from sulfate-dominated to nitrate-dominated PM<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> further
influences the secondary chemical processes by changing physiochemical
properties of aerosols, e.g., hygroscopicity and particle acidity. In a
thorough study in the US, despite the good control of <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emission,
the nitrate fraction in PM<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> did not show a corresponding decreasing
trend. It was caused by the elevated partitioning of nitric acid to the
particle phase in the eastern US (Shah et al., 2018). Researchers implied that higher nitrate partition fraction
resulted from the increasing particle pH, while some studies showed that the
particle pH decreases as particulate sulfate decreases in the US
(Weber et al., 2016). To better understand the correlation
between particle pH and chemical compositions, it is necessary to engage
simulations with high-resolution observation datasets which cover as many
pollution types as possible.</p>
      <p id="d1e3182">In this study, the bulk particle pH is calculated with the thermodynamic
model ISORROPIA II in forward mode with the assumption of aerosol in
metastable state. The simulation is limited to the data with the
corresponding RH between 20 % and 90 %, the same as that in previous studies
(Liu et al., 2017; Cheng et al., 2016). The analysis is further
limited to data with sufficient ALWC (above 5 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) to avoid
unrealistic pH values caused by false predictions of ALWC. To study the
effect of the nitrate fraction's elevation on particle acidity, the
Ratio<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> is compared to the bulk particle pH (Fig. 6). As the
nitrate fraction increases, the particle pH increases. When the
Ratio<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> is between 0 and 2, predicted pH values are rather scattered
(2.1–6.2), with a median value of 4.4. As the ratio increases,
pH values become less scattered and the median value increases as well. When
the ratio is around 4–6, the predicted pH values range from 4.9 to 5.6 with
a median value of 5.4, which is comparable with previous reported values in
PM<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution episodes (Cheng et al., 2016; Wang et al., 2016; Xie et al., 2015). There are several possible explanations that could
lead to pH increasing with higher Ratio<inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>, including neutralization
by ammonia, higher pH of ammonium nitrate in comparison with ammonium
sulfate, and increased ALWC leading to dilution of predicted <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Hodas et al., 2014; Xue et al., 2014; X. Wang et al., 2018). To
confirm that the pH elevation is not caused by crustal ions, the simulation
using data without crustal ions (input is set to 0) was conducted. It is
shown that the exclusion of crustal ions in the simulation can cause an
overall lower pH, but the pH elevation with Ratio<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> is still
observed (detailed analysis can be found in the Supplement,
Figs. S2 and S3). On the other hand, as a major controlling factor (Guo et al., 2017; Song et al., 2018), ammonia concentration was even lower in the nitrate-dominated conditions (Fig. S4). In order to further elucidate the relationship
between nitrate fraction and pH, a controlled sensitivity test was conducted
for the Beijing PM<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> aerosols by replacing particulate sulfate with
the same moles of nitrate and keeping all other variables such as
RH, temperature, ammonia, anions, and cations constant. As shown in Fig. 7, the median
values of simulated pH increased from 4.6 to 5.1 as the transferring
fraction increased from 10 % to 80 %. When the fraction exceeded 80 %,
the median pH value was a bit lower compared to the pH<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mrow class="unit"><mml:mn mathvariant="normal">80</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> (Fig. 7a). By
examining the difference between the sensitivity test results and the
original pH values, an overall increase in pH by <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> was
found when the fraction exceeds 60 % (Fig. 7b). The detailed sensitivity
results and description also showed that the pH elevation due to the
replacement of sulfate by nitrate was observed at all conditions (Fig. S5).
With the fact that other variables remained controlled, the test results
reconfirm that as nitrate becomes dominant, particle pH would significantly
increase.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3295">Scatter plot of simulated pH vs. Ratio<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>. Linear fitting
and the correlation coefficient are given. The box plot denotes the data
points classified by four different ranges of the Ratio<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>:
0–2, 2–3, 3–4, and 4–6. Only the data corresponding to the pollution
categories and with sufficient aerosol liquid water (above 5 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) are chosen, and the data during Chinese New Year are excluded.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e3344">Box plot of <bold>(a)</bold> simulated pH using the setting of the sensitivity test
as well as <bold>(b)</bold> pH difference between the simulated pH from the transferred
data and the original observation data (only data with sufficient aerosol
liquid water content (above 5 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) during the pollution period
were shown).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f07.png"/>

        </fig>

      <?pagebreak page5026?><p id="d1e3378">In this study, fewer predicted <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ions in aerosol liquid water were
found to be the major cause of the higher pH with a high nitrate fraction. The
correlation between <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and major anions (<inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is shown in Fig. 8 to identify the
acidity contribution of each anion. Sulfate and bisulfate have long been
recognized as major acidic components of atmospheric particles. Their
concentrations have significant impacts on the particle acidity
(Weber et al., 2016; Liu et al., 2017). Therefore, the <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ion
concentration was found to strongly correlate with sulfate as well as
bisulfate (Fig. 8a and b). The outlier data points can be attributed to
the firework events during the Chinese New Year (extreme data on Chinese
New Year's Eve are excluded). The average molar ratio of bisulfate to
sulfate is <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.08</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, indicating that most of the sulfate is
balanced by ammonium, the same as the results reported in previous studies
(Song et al., 2018). The excess ammonium is then
balanced by nitrate and chloride. The correlation between <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
nitrate ions is much different as ALWC varies (Fig. 8c). Under the
high-ALWC condition, the <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> increases with the nitrate concentration,
which can be explained by the simultaneously increasing sulfate fraction
during several pollution episodes. Under the drier condition (ALWC <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), as <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> increases, <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> decreases, which
implies that the weaker aerosol acidity favors nitric acid partitioning to
the particle phase. Since HCl is more volatile than nitric acid gas, its
occurrence in the particle phase is more sensitive to the particle acidity
(Fig. 8d). Therefore, the negative correlation with <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> is much more obvious
when it comes to chloride, independent of ALWC amount.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e3575">Scatter plots of simulated <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ion vs. major inorganic anions,
including <bold>(a)</bold> <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">HSO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <bold>(c)</bold> <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, and
<bold>(d)</bold> <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>; the coordinates are logarithmic.  Only the data
corresponding to the pollution categories and with sufficient aerosol liquid
water (above 5 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were chosen, and the data during Chinese New
Year are excluded.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f08.png"/>

        </fig>

      <p id="d1e3680">The low level of <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, especially its negative correlation with
Ratio<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>, should be attributed to the neutralization by ammonia via
gas-particle partitioning. Under most conditions, the excess of ammonia is
an implicit prerequisite for SIA formation in Beijing, and higher <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration could increase the predicted particle pH (Guo et al., 2017; Weber et al., 2016). As auxiliary evidence, ammonia partition
fraction (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, calculated with observation data) exhibits a positive
trend as Ratio<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> increases (Fig. 9), while ammonia concentration
remains less varied in the same case (Fig. S4). The positive trend is divided
into two parts: a more acidic (pH below 4.5) branch with Ratio<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> of
1–3 and <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of 0.1–0.6 and the other less acidic (pH above 5.5)
branch with Ratio<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> of 1–7 and <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of 0.1–0.4. The overall
higher <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in the lower pH branch is reasonable since it is more
favorable for ammonia partitioning to the particle phase when airborne
particles exhibit higher acidity. Moreover, sulfate can accommodate twice the
amount of ammonia than nitrate and thus increases <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. Yet, the highest
values of <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> were observed with more nitrate (Ratio<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula>). By contrast, even though the high particle pH
(5–6) may suppress ammonia from partitioning to the particle
phase (Guo et al., 2017), elevation of <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with
increasing Ratio<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> (1–4) is still observed, with pH ranging from 5 to
6 despite there being some outliers with lower <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and lower <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration. Nitrate formation is observed to be enhanced in north China,
either by heterogeneous formation (e.g., <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> hydrolysis) or with
sufficient ambient <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Wang et al., 2013). The
positive trend of <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with Ratio<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> clearly shows that
nitrate formation and partitioning have a significant contribution to the <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
partitioning process and will lead to an enhanced neutralization with the
help of more ammonia partitioning into the particle phase. Combining these
analyses, we conclude that the increasing nitrate fraction in fine particles
will lead to higher particle pH in Beijing during winter.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e3962">Scatter plot of <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> vs. the Ratio<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> colored with
predicted pH.  Only the data corresponding to the pollution categories
and with sufficient aerosol liquid water (above 5 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were
chosen, and the data during Chinese New Year are excluded. Note that the grey
frame depicts the outliers which have lower <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and lower ammonia
concentration.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><?xmltex \opttitle{Discussion: possible impacts of increasing fraction of nitrate in
PM${}_{{2.5}}$}?><title>Discussion: possible impacts of increasing fraction of nitrate in
PM<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p id="d1e4047">So far, the effect of emission control on SNA compositions in Beijing's
PM<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution and the response of particle pH have been illustrated,
but it is important to make predictions with the current knowledge,
providing scientific evidence for future better control strategy. In this
section, sensitivity tests regarding hygroscopicity and particle-acidity
change are conducted to help understand the possible changes of these
properties in the future. ALWC is directly engaged in the calculation of
particle pH and limited by several major parameters (RH, hydrophilic
composition concentration, temperature, etc.). During the campaign, the ALWC
predicted by ISORROPIA II varied between 0.8 and 154.2 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with
an average value of 6.4 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. As previously mentioned, the
average value of Ratio<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> is around 2 during the haze events in the
winter of 2017 in Beijing. The average ALWC in the haze events increased to
24.4 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> accordingly. It has been reported that nitrate salts
have a greater contribution to ALWC due to its lower deliquescence RH, and the
elevated ALWC might have a strong impact on water-soluble gas partitioning such
as that of glyoxal, leading to enhanced SOA production (Hodas et al., 2014; Xue et al., 2014). As a matter of fact, the increase in hygroscopicity
related to nitrate-rich fine particles has been observed in Beijing
(X. Wang et al., 2018). However, it is difficult<?pagebreak page5027?> to
conclude that lower pH in nitrate-rich particles is caused by the dilution
of <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> with  higher ALWC with current data, since the higher
nitrate fraction is usually observed with moderate RH in pollution
episodes in the winter of 2017. Furthermore, the elevation of pH due to
the Ratio<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> increase is one unit of pH, which means the ALWC shall
increase to 10 times the amount. This assumption is not supported by current
data, since ALWC remains less varied as Ratio<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> increases (Fig. S6).
Similar to ALWC, the correlation between ambient temperature and
Ratio<inline-formula><mml:math id="M297" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> is low, further proving that the increase in pH is not
caused by change of thermodynamic state (Fig. S7).</p>
      <?pagebreak page5028?><p id="d1e4164">The possible enhancement of hygroscopicity in nitrate-rich PM<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was
investigated. Most single salts can only be deliquesced over a certain RH;
thus the ALWC only exists when a certain RH is exceeded  (Wexler and
Seinfeld, 1991; Mauer and Taylor, 2010). In the real atmosphere, aerosols are
usually a mixture of salts and organics, which might be easier to
deliquesce. In addition, the deliquescence of <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is unique,
and it becomes more complicated in the system of
<inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> system
would absorb water vapor even at an extreme low RH, e.g., down to 10 %
(Willeke et al., 1980; ten Brink and Veefkind, 1995). Previous
studies show that the system comprised of
<inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a higher deliquesce point
when the sulfate content is higher (Ratio<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) but
absorbs water even at low RH (<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %) when nitrate is
dominant (Ratio<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) in PM<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> inorganic ions (Wexler
and Seinfeld, 1991; Ge et al., 1996, 1998). Inspired by these facts, we
conducted a sensitivity test of ALWC to RH by using the observation dataset
to study the effect of nitrate fraction elevation on ALWC changes (the RH
value ranging from 20 % to 90 %, with 10 % as the interval).
Concentrations of pollutants in the clean periods are relatively low and the
data of the clean periods might be more influenced by the observation
artifacts. Thus, only the data obtained in the transition and pollution
conditions were analyzed here. The ALWC changes are defined as Eq. (1).

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M307" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mtext>Fraction</mml:mtext><mml:mi mathvariant="normal">change</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">ALWC</mml:mi><mml:mtext>(RH + 10 %)</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">ALWC</mml:mi><mml:mi mathvariant="normal">RH</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

        Then, we choose the data with Ratio<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> above 3 and Ratio<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>
below 1. These values were both mentioned in previous lab studies
(Ge et al., 1998) and are also typical values of nitrate-rich or
sulfate-rich conditions in field observations. As shown in Fig. 10,
PM<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> with higher Ratio<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula> adsorbs more water than a
lower nitrate fraction as the RH increases, which is more significant under
lower RH (<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %) conditions compared with that under higher RH
(50 %–70 %) conditions. As the RH is usually lower (30 %–50) at the
beginning stage of PM<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution development in Beijing, such a
significant increase in hygroscopicity of nitrate-rich particles can greatly
promote the haze formation under relatively dry conditions by enhancing the
gas-to-particle partitioning of water-soluble compounds and the
aqueous-phase formation of secondary aerosols, e.g., ammonia partitioning and
nitrate formation through partitioning or hydrolysis of <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Badger et al., 2006; Bertram and Thornton 2009; Sun et al., 2018; Hodas et al., 2014; Shi et al., 2019).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e4426">Relative ALWC change due to the RH elevation at different
Ratio<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mtext>N-to-S</mml:mtext></mml:msub></mml:math></inline-formula>. Bars represent the relative change amount, and whiskers
depict the standard deviation.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f10.png"/>

      </fig>

      <p id="d1e4445">The response of particle pH to ammonia and sulfate changes has been studied
previously (Weber et al., 2016; Guo et al., 2017; Murphy
et al., 2017). Here we further analyze the particle pH under the elevated
nitrate concentration with the increasing ammonia in the atmosphere, which
is the possible situation for most Chinese cities in the coming years. Two
kinds of pH sensitivity tests are conducted: one with fixed nitrate but
varying sulfate and ammonia and the other with fixed sulfate input but
varying nitrate and ammonia (Fig. 11). In the test, crustal ions were all
set as 0, while fixed chloride, sulfate, and nitrate concentrations were set
as the average data on pollution (see Table 2). Compared with previous
studies (Guo et al., 2017; Song et al., 2018), the RH was set as
58 % and the temperature was set as 273.15 K. Despite system errors due to
the instability of the model at the extreme high-anion and low-<inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
conditions  (Song et al., 2018), the pH
continuously changes as the free variable changes. The significant sharp
edge of pH values in both plots defines the ion balance condition. We
selected the observation data obtained during the pollution episodes within
the RH ranging from 50 % to 70 % to compare with the results of both
sensitivity tests. As shown in Fig. 11, apart from some data points (those
with lower nitrate concentration but very high <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration),
observation data (triangles) are quite well merged into the results of
sensitivity tests, and the pH values are generally higher than the test
results due to the lack of crustal ion input in the sensitivity
simulation. Therefore, the result of sensitivity tests can represent
the pH change of the real atmosphere environment in Beijing well.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e4472">Sensitivity tests of pH's response to sulfate or nitrate
change with inputting the given <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, simulated by ISORROPIA II. Field
measurement data (triangles) were drawn upon the simulation data and colored
with predicted pH, respectively. The simulation is conducted with fixed RH
(58 %) and temperature (273.15 K).</p></caption>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/20/5019/2020/acp-20-5019-2020-f11.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e4495">Concentrations (<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
of ammonia and inorganic ions of PM<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> measured by
IGAC during the campaign.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3">Clean</oasis:entry>
         <oasis:entry colname="col4">Transition</oasis:entry>
         <oasis:entry colname="col5">Pollution</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mn mathvariant="normal">12.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e5184">Future changes in particle pH can be found with the sensitivity test
results. Cutting down the sulfate concentration without reducing atmospheric
ammonia (horizontally moving from right to left in Fig. 10, left part) can
lead to a significant increase in particle pH (up to 5). As can be seen from
the right part of Fig. 10, the elevation of particle pH might be enhanced
with the help of more nitrate in PM<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. The effect of nitrate on
particle pH greatly relies on the <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the atmosphere.
As the ammonia in the atmosphere over north China might still be increasing
(Liu et al., 2018), and the sulfur content in the
atmosphere might not be greatly reduced in the future, the particle pH shall
increase in the path<?pagebreak page5029?> along the ion balance edge, which also implies a
synergetic effect of increased nitrate and ammonia.</p>
      <p id="d1e5207">These results (lower acidity, higher hygroscopicity) provide insights into
the effects of an elevated nitrate content on the physiochemical properties
of particles. First, heterogeneous reactions that do not need high acidity
might greatly contribute to the airborne particle chemistry, such as
<inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-induced oxidation of the <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mechanism (Cheng et al.
2016; Wang et al., 2016). Reactions which rely greatly on acidified particles
might contribute less, such as acid-catalyzed SOA formation from VOCs
(Jang et al., 2002; Surratt et al., 2010). Second, the uptake
processes of gaseous compounds onto particles (carbonyl acids, for example)
might be enhanced, and the uptake of alkaline compounds could also be
enhanced via the ALWC elevation. Third, optical properties of particles will
greatly vary. On the one hand, higher ALWC can increase the light-scattering
effect (Titos et al., 2014), while on the other hand the light
absorption by BrC would be enhanced at higher pH (Phillips et al., 2017). All these facts might result in difficulties controlling
moderate haze in Beijing, which usually occurs with lower RH and higher
nitrate content as shown in this study. It is strongly suggested that the
control strategy should be created accordingly based on thorough and scientific
evaluation of both <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and ammonia.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <?pagebreak page5030?><p id="d1e5252">Due to strict emission controls, PM<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing during the winter
of 2017 greatly decreased to a low level (39.7 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for average
concentration), but moderate haze episodes still frequently occurred in the
city. With the observation and historical data, we found that the <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration decreased significantly while the <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration far
exceeded that of <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and kept increasing in Beijing during winter. In
response to the emission control, the nitrate concentration exceeded the
concentration of sulfate significantly and thus became the dominant SIA
component in fine particles. The molar ratio of nitrate to sulfate kept
increasing over the years and rose to 2.7 during PM<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> pollution
episodes in the winter of 2017. The ammonium-to-sulfate ratio has always
been above 1.5 in Beijing and has exceeded 3.0 since 2011. Sufficient
ammonia provided strong atmospheric neutralization and weakened the particle
acidity in Beijing, but the increased nitrate fraction was found to be
causing the particle pH elevation. During the campaign, the pH of PM<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
increased from 4.4 to 5.4 as the molar ratio of nitrate to sulfate increased
from 1 to 5, which is firstly due to the lower amount of sulfate, which
suppressed the formation of <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and secondly due to the ammonia
neutralization.
<?xmltex \hack{\newpage}?>
Sensitivity tests of particle hygroscopicity and acidity were conducted to
investigate the possible changes in physiochemical properties if ammonia
and nitrate are not well controlled in China in the future. The results
showed that the nitrate-rich particles can absorb more water than particles
with higher sulfate fractions under moderate humid conditions (RH <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %), and the particle pH increases rapidly due to the synergetic effect
of ammonia and nitrate, which will very likely occur in China in the
upcoming years, because both of these pollutants are not well controlled
yet. The changes in particle pH and hygroscopicity will further enhance the
uptake of gaseous compounds, promote chemical reactions which favor
lower acidity, and also affect the optical properties of airborne particles
in China. Therefore, the processes and properties of haze particles during
nitrate-dominated periods in the country need to be thoroughly investigated
with more consideration of highly hygroscopic and neutralized particles.</p>
</sec>

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

      <p id="d1e5362">Data can be accessed by contacting the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5365">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-20-5019-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-20-5019-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5374">GW conceived the study and designed the experiment. YX
conducted the online IGAC-PM<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chemical composition analysis and
filter sampling in Beijing during the campaign. GT, LW, YW, and JG provided other related observation data used in this
article, including trace gases, PM mass concentrations, and meteorological data.
GW, XW, YC, GX, and SG conducted the lab
analysis of filters and the data quality assurance and quality control. YX, GW, and JC
performed the data analysis. YX and GW wrote the paper. All
the co-authors contributed to the data interpretation and discussion.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5389">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e5395">This article is part of the special issue “Multiphase chemistry of secondary aerosol formation under severe haze”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5401">This work was financially supported by the National Key R&amp;D Program of
China (2017YFC0210000) and the National Nature Science Foundation of China
(no. 41773117). We thank Yicheng Lin and Zhenrong Huang from Fortelice International Co., Ltd and Hanyu Gao from the Institute of Atmospheric Physics, Chinese Academy of Sciences for their technical support of IGAC operation during the campaign.</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5407">This research has been supported by the National Key R&amp;D Program of China (grant no. 2017YFC0210000) and the National Nature Science Foundation of China (grant no. 41773117).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5413">This paper was edited by Jingkun Jiang and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Badger, C. L., Griffiths, P. T., George, I., Abbatt, J. P. D., and Cox, R.
A.: Reactive Uptake of <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by Aerosol Particles Containing
Mixtures of Humic Acid and Ammonium Sulfate, J. Phys. Chem., 110, 6986–6994, <ext-link xlink:href="https://doi.org/10.1021/jp0562678" ext-link-type="DOI">10.1021/jp0562678</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Bertram, T. H. and Thornton, J. A.: Toward a general parameterization of <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactivity on aqueous particles: the competing effects of particle liquid water, nitrate and chloride, Atmos. Chem. Phys., 9, 8351–8363, <ext-link xlink:href="https://doi.org/10.5194/acp-9-8351-2009" ext-link-type="DOI">10.5194/acp-9-8351-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Cao, J.-J., Shen, Z.-X., Chow, J. C., Watson, J. G., Lee, S.-C., Tie, X.-X.,
Ho, K.-F., Wang, G.-H., and Han, Y.-M.: Winter and Summer PM<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
Chemical Compositions in Fourteen Chinese Cities, J. Air. Waste. Manage.,
62, 1214–1226, <ext-link xlink:href="https://doi.org/10.1080/10962247.2012.701193" ext-link-type="DOI">10.1080/10962247.2012.701193</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Chen, J. M., Li, C. L., Ristovski, Z., Milic, A., Gu, Y. T., Islam, M. S.,
Wang, S. X., Hao, J. M., Zhang, H. F., He, C. R., Guo, H., Fu, H. B.,
Miljevic, B., Morawska, L., Thai, P., Fat, L., Pereira, G., Ding, A. J.,
Huang, X., and Dumka, U. C.: A review of biomass burning: Emissions and
impacts on air quality, health and climate in China, Sci. Total Environ.,
579, 1000–1034, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2016.11.025" ext-link-type="DOI">10.1016/j.scitotenv.2016.11.025</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Chen, T., Chu, B., Ge, Y., Zhang, S., Ma, Q., He, H., and Li, S.-M.:
Enhancement of aqueous sulfate formation by the coexistence of <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under
high ionic strengths in aerosol water, Environ. Pollut., 252,
236–244, <ext-link xlink:href="https://doi.org/10.1016/j.envpol.2019.05.119" ext-link-type="DOI">10.1016/j.envpol.2019.05.119</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Cheng, J., Su, J., Cui, T., Li, X., Dong, X., Sun, F., Yang, Y., Tong, D., Zheng, Y., Li, Y., Li, J., Zhang, Q., and He, K.: Dominant role of emission reduction in PM<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> air quality improvement in Beijing during 2013–2017: a model-based decomposition analysis, Atmos. Chem. Phys., 19, 6125–6146, <ext-link xlink:href="https://doi.org/10.5194/acp-19-6125-2019" ext-link-type="DOI">10.5194/acp-19-6125-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Cheng, Y., Zheng, G., Wei, C., Mu, Q., Zheng, B., Wang, Z., Gao, M., Zhang,
Q., He, K., Carmichael, G., Pöschl, U., and Su, H.: Reactive nitrogen
chemistry in aerosol water as a source of sulfate during haze events in
China, Sci. Adv., 2, e1601530, <ext-link xlink:href="https://doi.org/10.1126/sciadv.1601530" ext-link-type="DOI">10.1126/sciadv.1601530</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Clegg, S. L., Kleeman, M. J., Griffin, R. J., and Seinfeld, J. H.: Effects of uncertainties in the thermodynamic properties of aerosol components in an air quality model – Part 1: Treatment of inorganic electrolytes and organic compounds in the condensed phase, Atmos. Chem. Phys., 8, 1057–1085, <ext-link xlink:href="https://doi.org/10.5194/acp-8-1057-2008" ext-link-type="DOI">10.5194/acp-8-1057-2008</ext-link>, 2008.</mixed-citation></ref>
      <?pagebreak page5031?><ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>de Foy, B., Lu, Z., and Streets, D. G.: Satellite <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals
suggest China has exceeded its <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reduction goals from the twelfth
Five-Year Plan, Sci. Rep., 6, 35912, <ext-link xlink:href="https://doi.org/10.1038/srep35912" ext-link-type="DOI">10.1038/srep35912</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Ding, A. J., Fu, C. B., Yang, X. Q., Sun, J. N., Zheng, L. F., Xie, Y. N., Herrmann, E., Nie, W., Petäjä, T., Kerminen, V.-M., and Kulmala, M.: Ozone and fine particle in the western Yangtze River Delta: an overview of 1 yr data at the SORPES station, Atmos. Chem. Phys., 13, 5813–5830, <ext-link xlink:href="https://doi.org/10.5194/acp-13-5813-2013" ext-link-type="DOI">10.5194/acp-13-5813-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Elser, M., Huang, R.-J., Wolf, R., Slowik, J. G., Wang, Q., Canonaco, F., Li, G., Bozzetti, C., Daellenbach, K. R., Huang, Y., Zhang, R., Li, Z., Cao, J., Baltensperger, U., El-Haddad, I., and Prévôt, A. S. H.: New insights into PM<inline-formula><mml:math id="M388" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> chemical composition and sources in two major cities in China during extreme haze events using aerosol mass spectrometry, Atmos. Chem. Phys., 16, 3207–3225, <ext-link xlink:href="https://doi.org/10.5194/acp-16-3207-2016" ext-link-type="DOI">10.5194/acp-16-3207-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Ervens, B., George, C., Williams, J. E., Buxton, G. V., Salmon, G. A.,
Bydder, M., Wilkinson, F., Dentener, F., Mirabel, P., Wolke, R., and
Herrmann, H.: CAPRAM 2.4 (MODAC mechanism): An extended and condensed
tropospheric aqueous phase mechanism and its application, J. Geophys.
Res-Atmos., 108, 4426, <ext-link xlink:href="https://doi.org/10.1029/2002JD002202" ext-link-type="DOI">10.1029/2002JD002202</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Fountoukis, C. and Nenes, A.: ISORROPIA II: a computationally efficient
thermodynamic equilibrium model for
<inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M390" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Ca</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Mg</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
aerosols, Atmos. Chem. Phys., 7, 4639–4659,
<ext-link xlink:href="https://doi.org/10.5194/acp-7-4639-2007" ext-link-type="DOI">10.5194/acp-7-4639-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Freedman, M. A., Ott, E.-J. E., and Marak, K. E.: Role of pH in Aerosol
Processes and Measurement Challenges, J. Phys. Chem., 123, 1275–1284, <ext-link xlink:href="https://doi.org/10.1021/acs.jpca.8b10676" ext-link-type="DOI">10.1021/acs.jpca.8b10676</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Ge, S., Wang, G., Zhang, S., Li, D., Xie, Y., Wu, C., Yuan, Q., Chen, J.,
and Zhang, H.: Abundant <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in China Enhances Atmospheric HONO
Production by Promoting the Heterogeneous Reaction of <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with
<inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Environ. Sci. Technol., 53, 14339–14347, <ext-link xlink:href="https://doi.org/10.1021/acs.est.9b04196" ext-link-type="DOI">10.1021/acs.est.9b04196</ext-link>,
2019.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Ge, X., He, Y., Sun, Y., Xu, J., Wang, J., Shen, Y., and Chen, M.:
Characteristics and Formation Mechanisms of Fine Particulate Nitrate in
Typical Urban Areas in China, Atmosphere-Basel, 8, 62, <ext-link xlink:href="https://doi.org/10.3390/atmos8030062" ext-link-type="DOI">10.3390/atmos8030062</ext-link>,
2017.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Ge, Z., Wexler, A. S., and Johnston, M. V.: Multicomponent Aerosol
Crystallization, J. Colloid. Interf. Sci., 183, 68–77, <ext-link xlink:href="https://doi.org/10.1006/jcis.1996.0519" ext-link-type="DOI">10.1006/jcis.1996.0519</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Ge, Z., Wexler, A. S., and Johnston, M. V.: Deliquescence Behavior of
Multicomponent Aerosols, J. Phys. Chem., 102, 173–180, <ext-link xlink:href="https://doi.org/10.1021/jp972396f" ext-link-type="DOI">10.1021/jp972396f</ext-link>,
1998.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Guo, H., Sullivan, A. P., Campuzano-Jost, P., Schroder, J. C.,
Lopez-Hilfiker, F. D., Dibb, J. E., Jimenez, J. L., Thornton, J. A., Brown,
S. S., Nenes, A., and Weber, R. J.: Fine particle pH and the partitioning of
nitric acid during winter in the northeastern United States, J. Geophys.
Res.-Atmos., 121, 10355–10376, <ext-link xlink:href="https://doi.org/10.1002/2016JD025311" ext-link-type="DOI">10.1002/2016JD025311</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Guo, H., Weber, R. J., and Nenes, A.: High levels of ammonia do not raise
fine particle pH sufficiently to yield nitrogen oxide-dominated sulfate
production, Sci. Rep., 7, 12109, <ext-link xlink:href="https://doi.org/10.1038/s41598-017-11704-0" ext-link-type="DOI">10.1038/s41598-017-11704-0</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Guo, S., Hu, M., Zamora, M. L., Peng, J., Shang, D., Zheng, J., Du, Z., Wu,
Z., Shao, M., Zeng, L., Molina, M. J., and Zhang, R.: Elucidating severe
urban haze formation in China, P. Natl. Acad. Sci. USA., 111, 17373, <ext-link xlink:href="https://doi.org/10.1073/pnas.1419604111" ext-link-type="DOI">10.1073/pnas.1419604111</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>He, K., Yang, F., Ma, Y., Zhang, Q., Yao, X., Chan, C. K., Cadle, S., Chan,
T., and Mulawa, P.: The characteristics of PM<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in Beijing, China,
Atmos. Environ., 35, 4959-4970, <ext-link xlink:href="https://doi.org/10.1016/S1352-2310(01)00301-6" ext-link-type="DOI">10.1016/S1352-2310(01)00301-6</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>He, P., Alexander, B., Geng, L., Chi, X., Fan, S., Zhan, H., Kang, H., Zheng, G., Cheng, Y., Su, H., Liu, C., and Xie, Z.: Isotopic constraints on heterogeneous sulfate production in Beijing haze, Atmos. Chem. Phys., 18, 5515–5528, <ext-link xlink:href="https://doi.org/10.5194/acp-18-5515-2018" ext-link-type="DOI">10.5194/acp-18-5515-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Herrmann, H., Tilgner, A., Barzaghi, P., Majdik, Z., Gligorovski, S.,
Poulain, L., and Monod, A.: Towards a more detailed description of
tropospheric aqueous phase organic chemistry: CAPRAM 3.0, Atmos. Environ.,
39, 4351–4363, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2005.02.016" ext-link-type="DOI">10.1016/j.atmosenv.2005.02.016</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Hodas, N., Sullivan, A. P., Skog, K., Keutsch, F. N., Collett, J. L.,
Decesari, S., Facchini, M. C., Carlton, A. G., Laaksonen, A., and Turpin, B.
J.: Aerosol Liquid Water Driven by Anthropogenic Nitrate: Implications for
Lifetimes of Water-Soluble Organic Gases and Potential for Secondary Organic
Aerosol Formation, Environ. Sci. Technol., 48, 11127–11136, <ext-link xlink:href="https://doi.org/10.1021/es5025096" ext-link-type="DOI">10.1021/es5025096</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Huang, R.-J., Zhang, Y., Bozzetti, C., Ho, K.-F., Cao, J.-J., Han, Y.,
Daellenbach, K. R., Slowik, J. G., Platt, S. M., Canonaco, F., Zotter, P.,
Wolf, R., Pieber, S. M., Bruns, E. A., Crippa, M., Ciarelli, G.,
Piazzalunga, A., Schwikowski, M., Abbaszade, G., Schnelle-Kreis, J.,
Zimmermann, R., An, Z., Szidat, S., Baltensperger, U., Haddad, I. E., and
Prévôt, A. S. H.: High secondary aerosol contribution to particulate
pollution during haze events in China, Nature, 514,   218–222, <ext-link xlink:href="https://doi.org/10.1038/nature13774" ext-link-type="DOI">10.1038/nature13774</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Huang, X., Song, Y., Zhao, C., Li, M., Zhu, T., Zhang, Q., and Zhang, X.:
Pathways of sulfate enhancement by natural and anthropogenic mineral
aerosols in China, J. Geophys. Res.-Atmos., 119, 14165–114179, <ext-link xlink:href="https://doi.org/10.1002/2014JD022301" ext-link-type="DOI">10.1002/2014JD022301</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Huang, X., Liu, Z., Liu, J., Hu, B., Wen, T., Tang, G., Zhang, J., Wu, F., Ji, D., Wang, L., and Wang, Y.: Chemical characterization and source identification of PM<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> at multiple sites in the Beijing–Tianjin–Hebei region, China, Atmos. Chem. Phys., 17, 12941–12962, <ext-link xlink:href="https://doi.org/10.5194/acp-17-12941-2017" ext-link-type="DOI">10.5194/acp-17-12941-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Jang, M., Czoschke, N. M., Lee, S., and Kamens, R. M.: Heterogeneous
Atmospheric Aerosol Production by Acid-Catalyzed Particle-Phase Reactions,
Science, 298, 814–817,  <ext-link xlink:href="https://doi.org/10.1126/science.1075798" ext-link-type="DOI">10.1126/science.1075798</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Ji, D., Li, L., Wang, Y., Zhang, J., Cheng, M., Sun, Y., Liu, Z., Wang, L.,
Tang, G., Hu, B., Chao, N., Wen, T., and Miao, H.: The heaviest particulate
air-pollution episodes occurred in northern China in January, 2013: Insights
gained from observation, Atmos. Environ., 92, 546–556, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.04.048" ext-link-type="DOI">10.1016/j.atmosenv.2014.04.048</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Ji, D., Cui, Y., Li, L., He, J., Wang, L., Zhang, H., Wang, W., Zhou, L.,
Maenhaut, W., Wen, T., and Wang, Y.: Characterization and source
identification of fine particulate matter in urban Beijing during the 2015
Spring Festival, Sci. Total Environ., 628–629, 430–440, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2018.01.304" ext-link-type="DOI">10.1016/j.scitotenv.2018.01.304</ext-link>, 2018.</mixed-citation></ref>
      <?pagebreak page5032?><ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Lang, J., Zhang, Y., Zhou, Y., Cheng, S., Chen, D., Guo, X., Chen, S., Li,
X., Xing, X., and Wang, H.: Trends of PM<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and Chemical Composition in
Beijing, 2000–2015, Aerosol. Air. Qual. Res., 17, 412-425, <ext-link xlink:href="https://doi.org/10.4209/aaqr.2016.07.0307" ext-link-type="DOI">10.4209/aaqr.2016.07.0307</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Liu, F., Zhang, Q., van der A, R. J., Zheng, B., Tong, D., Yan, L., Zheng,
Y., and He, K.: Recent reduction in <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions over China: synthesis
of satellite observations and emission inventories, Environ. Res. Lett., 11,
114002, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/11/11/114002" ext-link-type="DOI">10.1088/1748-9326/11/11/114002</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Liu, M., Song, Y., Zhou, T., Xu, Z., Yan, C., Zheng, M., Wu, Z., Hu, M., Wu,
Y., and Zhu, T.: Fine particle pH during severe haze episodes in northern
China, Geophys. Res. Lett., 44, 5213–5221, <ext-link xlink:href="https://doi.org/10.1002/2017GL073210" ext-link-type="DOI">10.1002/2017GL073210</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Liu, M., Huang, X., Song, Y., Xu, T., Wang, S., Wu, Z., Hu, M., Zhang, L., Zhang, Q., Pan, Y., Liu, X., and Zhu, T.: Rapid <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission reductions significantly increase tropospheric ammonia concentrations over the North China Plain, Atmos. Chem. Phys., 18, 17933–17943, <ext-link xlink:href="https://doi.org/10.5194/acp-18-17933-2018" ext-link-type="DOI">10.5194/acp-18-17933-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Liu, M., Huang, X., Song, Y., Tang, J., Cao, J., Zhang, X., Zhang, Q., Wang,
S., Xu, T., Kang, L., Cai, X., Zhang, H., Yang, F., Wang, H., Yu, J. Z.,
Lau, A. K. H., He, L., Huang, X., Duan, L., Ding, A., Xue, L., Gao, J., Liu,
B., and Zhu, T.: Ammonia emission control in China would mitigate haze
pollution and nitrogen deposition, but worsen acid rain, P. Natl. Acad. Sci.
USA, 116, 7760, <ext-link xlink:href="https://doi.org/10.1073/pnas.1814880116" ext-link-type="DOI">10.1073/pnas.1814880116</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Mauer, L. J.  and Taylor, L. S.: Water-Solids Interactions: Deliquescence,
Annu. Rev. Food Sci. T., 1, 41–63, <ext-link xlink:href="https://doi.org/10.1146/annurev.food.080708.100915" ext-link-type="DOI">10.1146/annurev.food.080708.100915</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Murphy, J. G., Gregoire, P. K., Tevlin, A. G., Wentworth, G. R., Ellis, R.
A., Markovic, M. Z., and VandenBoer, T. C.: Observational constraints on
particle acidity using measurements and modelling of particles and gases,
Faraday Discuss., 200, 379–395, <ext-link xlink:href="https://doi.org/10.1039/C7FD00086C" ext-link-type="DOI">10.1039/C7FD00086C</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>Oleniacz, R., Rzeszutek, M., Bogacki, M.: Impact of Use of Chemical
Transformation Modules in Calpuff on the Results of Air Dispersion
Modelling, Ecol. Chem. Eng. S., 23, 605–620, <ext-link xlink:href="https://doi.org/10.1515/eces-2016-0043" ext-link-type="DOI">10.1515/eces-2016-0043</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Pathak, R. K., Yao, X., and Chan, C. K.: Sampling Artifacts of Acidity and
Ionic Species in PM<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, Environ. Sci. Technol., 38, 254–259, <ext-link xlink:href="https://doi.org/10.1021/es0342244" ext-link-type="DOI">10.1021/es0342244</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Pathak, R. K., Wu, W. S., and Wang, T.: Summertime PM2.5 ionic species in four major cities of China: nitrate formation in an ammonia-deficient atmosphere, Atmos. Chem. Phys., 9, 1711–1722, <ext-link xlink:href="https://doi.org/10.5194/acp-9-1711-2009" ext-link-type="DOI">10.5194/acp-9-1711-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Pathak, R. K., Wang, T., and Wu, W. S.: Nighttime enhancement of PM<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
nitrate in ammonia-poor atmospheric conditions in Beijing and Shanghai:
Plausible contributions of heterogeneous hydrolysis of <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
HNO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> partitioning, Atmos. Environ., 45, 1183–1191, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2010.09.003" ext-link-type="DOI">10.1016/j.atmosenv.2010.09.003</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Phillips, S. M., Bellcross, A. D., and Smith, G. D.: Light Absorption by
Brown Carbon in the Southeastern United States is pH-dependent, Environ.
Sci. Technol., 51, 6782–6790, <ext-link xlink:href="https://doi.org/10.1021/acs.est.7b01116" ext-link-type="DOI">10.1021/acs.est.7b01116</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Shah, V., Jaeglé, L., Thornton, J. A., Lopez-Hilfiker, F. D., Lee, B.
H., Schroder, J. C., Campuzano-Jost, P., Jimenez, J. L., Guo, H., Sullivan,
A. P., Weber, R. J., Green, J. R., Fiddler, M. N., Bililign, S., Campos, T.
L., Stell, M., Weinheimer, A. J., Montzka, D. D., and Brown, S. S.: Chemical
feedbacks weaken the wintertime response of particulate sulfate and nitrate
to emissions reductions over the eastern United States, P. Natl. Acad. Sci.
USA, 115, 8110, <ext-link xlink:href="https://doi.org/10.1073/pnas.1803295115" ext-link-type="DOI">10.1073/pnas.1803295115</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Shao, P., Tian, H., Sun, Y., Liu, H., Wu, B., Liu, S., Liu, X., Wu, Y.,
Liang, W., Wang, Y., Gao, J., Xue, Y., Bai, X., Liu, W., Lin, S., and Hu,
G.: Characterizing remarkable changes of severe haze events and chemical
compositions in multi-size airborne particles (PM<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, PM<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and
PM<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>) from January 2013 to 2016–2017 winter in Beijing, China, Atmos.
Environ., 189, 133–144, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.06.038" ext-link-type="DOI">10.1016/j.atmosenv.2018.06.038</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Shi, G., Xu, J., Peng, X., Xiao, Z., Chen, K., Tian, Y., Guan, X., Feng, Y.,
Yu, H., Nenes, A., and Russell, A. G.: pH of Aerosols in a Polluted
Atmosphere: Source Contributions to Highly Acidic Aerosol, Environ. Sci.
Technol., 51, 4289–4296, <ext-link xlink:href="https://doi.org/10.1021/acs.est.6b05736" ext-link-type="DOI">10.1021/acs.est.6b05736</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Shi, X., Nenes, A., Xiao, Z., Song, S., Yu, H., Shi, G., Zhao, Q., Chen, K.,
Feng, Y., and Russell, A. G.: High-Resolution Data Sets Unravel the Effects
of Sources and Meteorological Conditions on Nitrate and Its Gas-Particle
Partitioning, Environ. Sci. Technol., 53, 3048–3057, <ext-link xlink:href="https://doi.org/10.1021/acs.est.8b06524" ext-link-type="DOI">10.1021/acs.est.8b06524</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Song, S., Gao, M., Xu, W., Shao, J., Shi, G., Wang, S., Wang, Y., Sun, Y., and McElroy, M. B.: Fine-particle pH for Beijing winter haze as inferred from different thermodynamic equilibrium models, Atmos. Chem. Phys., 18, 7423–7438, <ext-link xlink:href="https://doi.org/10.5194/acp-18-7423-2018" ext-link-type="DOI">10.5194/acp-18-7423-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Sun, P., Nie, W., Chi, X., Xie, Y., Huang, X., Xu, Z., Qi, X., Xu, Z., Wang, L., Wang, T., Zhang, Q., and Ding, A.: Two years of online measurement of fine particulate nitrate in the western Yangtze River Delta: influences of thermodynamics and N2O5 hydrolysis, Atmos. Chem. Phys., 18, 17177–17190, <ext-link xlink:href="https://doi.org/10.5194/acp-18-17177-2018" ext-link-type="DOI">10.5194/acp-18-17177-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Surratt, J. D., Chan, A. W. H., Eddingsaas, N. C., Chan, M., Loza, C. L.,
Kwan, A. J., Hersey, S. P., Flagan, R. C., Wennberg, P. O., and Seinfeld, J.
H.: Reactive intermediates revealed in secondary organic aerosol formation
from isoprene, P. Natl. Acad. Sci. USA, 107, 6640, <ext-link xlink:href="https://doi.org/10.1073/pnas.0911114107" ext-link-type="DOI">10.1073/pnas.0911114107</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Tan, Z., Rohrer, F., Lu, K., Ma, X., Bohn, B., Broch, S., Dong, H., Fuchs, H., Gkatzelis, G. I., Hofzumahaus, A., Holland, F., Li, X., Liu, Y., Liu, Y., Novelli, A., Shao, M., Wang, H., Wu, Y., Zeng, L., Hu, M., Kiendler-Scharr, A., Wahner, A., and Zhang, Y.: Wintertime photochemistry in Beijing: observations of <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> radical concentrations in the North China Plain during the BEST-ONE campaign, Atmos. Chem. Phys., 18, 12391–12411, <ext-link xlink:href="https://doi.org/10.5194/acp-18-12391-2018" ext-link-type="DOI">10.5194/acp-18-12391-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>
Tang, G., Wang, Y., Li, X., Ji, D., Hsu, S., and Gao, X.: Spatial-temporal variations in surface ozone in Northern China as observed during 2009–2010 and possible implications for future air quality control strategies, Atmos. Chem. Phys., 12, 2757–2776, https://doi.org/10.5194/acp-12-2757-2012, 2012.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>
Tang, G., Zhang, J., Zhu, X., Song, T., Münkel, C., Hu, B., Schäfer, K., Liu, Z., Zhang, J., Wang, L., Xin, J., Suppan, P., and Wang, Y.: Mixing layer height and its implications for air pollution over Beijing, China, Atmos. Chem. Phys., 16, 2459–2475, https://doi.org/10.5194/acp-16-2459-2016, 2016.</mixed-citation></ref>
      <?pagebreak page5033?><ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Tao, Y. and Murphy, J. G.: The sensitivity of PM<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> acidity to meteorological parameters and chemical composition changes: 10-year records from six Canadian monitoring sites, Atmos. Chem. Phys., 19, 9309–9320, <ext-link xlink:href="https://doi.org/10.5194/acp-19-9309-2019" ext-link-type="DOI">10.5194/acp-19-9309-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>ten Brink, H. M. and Veefkind, J. P.: Humidity dependence of the
light-scattering by ammonium nitrate, J. Aerosol. Sci., 26, S553–S554, <ext-link xlink:href="https://doi.org/10.1016/0021-8502(95)97184-G" ext-link-type="DOI">10.1016/0021-8502(95)97184-G</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>Titos, G., Jefferson, A., Sheridan, P. J., Andrews, E., Lyamani, H., Alados-Arboledas, L., and Ogren, J. A.: Aerosol light-scattering enhancement due to water uptake during the TCAP campaign, Atmos. Chem. Phys., 14, 7031–7043, <ext-link xlink:href="https://doi.org/10.5194/acp-14-7031-2014" ext-link-type="DOI">10.5194/acp-14-7031-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Wang, G., Zhang, R., Gomez, M. E., Yang, L., Levy Zamora, M., Hu, M., Lin,
Y., Peng, J., Guo, S., Meng, J., Li, J., Cheng, C., Hu, T., Ren, Y., Wang,
Y., Gao, J., Cao, J., An, Z., Zhou, W., Li, G., Wang, J., Tian, P.,
Marrero-Ortiz, W., Secrest, J., Du, Z., Zheng, J., Shang, D., Zeng, L.,
Shao, M., Wang, W., Huang, Y., Wang, Y., Zhu, Y., Li, Y., Hu, J., Pan, B.,
Cai, L., Cheng, Y., Ji, Y., Zhang, F., Rosenfeld, D., Liss, P. S., Duce, R.
A., Kolb, C. E., and Molina, M. J.: Persistent sulfate formation from London
Fog to Chinese haze, P. Natl. Acad. Sci. USA, 113, 13630, <ext-link xlink:href="https://doi.org/10.1073/pnas.1616540113" ext-link-type="DOI">10.1073/pnas.1616540113</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Wang, G., Zhang, F., Peng, J., Duan, L., Ji, Y., Marrero-Ortiz, W., Wang, J., Li, J., Wu, C., Cao, C., Wang, Y., Zheng, J., Secrest, J., Li, Y., Wang, Y., Li, H., Li, N., and Zhang, R.: Particle acidity and sulfate production during severe haze events in China cannot be reliably inferred by assuming a mixture of inorganic salts, Atmos. Chem. Phys., 18, 10123–10132, <ext-link xlink:href="https://doi.org/10.5194/acp-18-10123-2018" ext-link-type="DOI">10.5194/acp-18-10123-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>Wang, H., Lu, K., Chen, X., Zhu, Q., Chen, Q., Guo, S., Jiang, M., Li, X.,
Shang, D., Tan, Z., Wu, Y., Wu, Z., Zou, Q., Zheng, Y., Zeng, L., Zhu, T.,
Hu, M., and Zhang, Y.: High <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Concentrations Observed in Urban
Beijing: Implications of a Large Nitrate Formation Pathway, Environ. Sci.
Tech. Let., 4, 416–420, <ext-link xlink:href="https://doi.org/10.1021/acs.estlett.7b00341" ext-link-type="DOI">10.1021/acs.estlett.7b00341</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Wang, T., Wang, P., Theys, N., Tong, D., Hendrick, F., Zhang, Q., and Van Roozendael, M.: Spatial and temporal changes in <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> regimes over China in the recent decade and the driving mechanism, Atmos. Chem. Phys., 18, 18063–18078, <ext-link xlink:href="https://doi.org/10.5194/acp-18-18063-2018" ext-link-type="DOI">10.5194/acp-18-18063-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Wang, X., Shen, X. J., Sun, J. Y., Zhang, X. Y., Wang, Y. Q., Zhang, Y. M.,
Wang, P., Xia, C., Qi, X. F., and Zhong, J. T.: Size-resolved hygroscopic
behavior of atmospheric aerosols during heavy aerosol pollution episodes in
Beijing in December 2016, Atmos. Environ., 194, 188–197, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2018.09.041" ext-link-type="DOI">10.1016/j.atmosenv.2018.09.041</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Wang, Y., Zhang, Q. Q., He, K., Zhang, Q., and Chai, L.: Sulfate-nitrate-ammonium aerosols over China: response to 2000–2015 emission changes of sulfur dioxide, nitrogen oxides, and ammonia, Atmos. Chem. Phys., 13, 2635–2652, <ext-link xlink:href="https://doi.org/10.5194/acp-13-2635-2013" ext-link-type="DOI">10.5194/acp-13-2635-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>Wang, Y., Zhang, Q., Jiang, J., Zhou, W., Wang, B., He, K., Duan, F., Zhang,
Q., Philip, S., and Xie, Y.: Enhanced sulfate formation during China's
severe winter haze episode in January 2013 missing from current models, J.
Geophys. Res.-Atmos., 119, 10425–410440, <ext-link xlink:href="https://doi.org/10.1002/2013JD021426" ext-link-type="DOI">10.1002/2013JD021426</ext-link>, 2014.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Weber, R. J., Guo, H., Russell, A. G., and Nenes, A.: High aerosol acidity
despite declining atmospheric sulfate concentrations over the past 15 years,
Nat. Geosci., 9,  282–285, <ext-link xlink:href="https://doi.org/10.1038/ngeo2665" ext-link-type="DOI">10.1038/ngeo2665</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>Wei, H., Vejerano, E. P., Leng, W., Huang, Q., Willner, M. R., Marr, L. C.,
and Vikesland, P. J.: Aerosol microdroplets exhibit a stable pH gradient, P.
Natl. Acad. Sci. USA., 115, 7272, <ext-link xlink:href="https://doi.org/10.1073/pnas.1720488115" ext-link-type="DOI">10.1073/pnas.1720488115</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Wexler, A. S., and Seinfeld, J. H.: Second-generation inorganic aerosol
model, Atmos. Environ. A-Gen., 25, 2731–2748, <ext-link xlink:href="https://doi.org/10.1016/0960-1686(91)90203-J" ext-link-type="DOI">10.1016/0960-1686(91)90203-J</ext-link>,
1991.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>Willeke, K., Society, A. C., and Kagakkai, N.: Generation of Aerosols and
Facilities for Exposure Experiments, edited by:  Willeke, K.,    Ann Arbor Science Publishers Inc. Michigan, 1980.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Xie, Y., Ding, A., Nie, W., Mao, H., Qi, X., Huang, X., Xu, Z., Kerminen,
V.-M., Petäjä, T., Chi, X., Virkkula, A., Boy, M., Xue, L., Guo, J.,
Sun, J., Yang, X., Kulmala, M., and Fu, C.: Enhanced sulfate formation by
nitrogen dioxide: Implications from in situ observations at the SORPES
station, J. Geophys. Res.-Atmos., 120, 12679–12694, <ext-link xlink:href="https://doi.org/10.1002/2015JD023607" ext-link-type="DOI">10.1002/2015JD023607</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Xue, J., Griffith, S. M., Yu, X., Lau, A. K. H., and Yu, J. Z.: Effect of
nitrate and sulfate relative abundance in PM<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> on liquid water content
explored through half-hourly observations of inorganic soluble aerosols at a
polluted receptor site, Atmos. Environ., 99, 24–31, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2014.09.049" ext-link-type="DOI">10.1016/j.atmosenv.2014.09.049</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>Xue, J., Yu, X., Yuan, Z., Griffith, S. M., Lau, A. K. H., Seinfeld, J. H.,
and Yu, J. Z.: Efficient control of atmospheric sulfate production based on
three formation regimes, Nat. Geosci., 12, 977–982, <ext-link xlink:href="https://doi.org/10.1038/s41561-019-0485-5" ext-link-type="DOI">10.1038/s41561-019-0485-5</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>Young, L.-H., Li, C.-H., Lin, M.-Y., Hwang, B.-F., Hsu, H.-T., Chen, Y.-C.,
Jung, C.-R., Chen, K.-C., Cheng, D.-H., Wang, V.-S., Chiang, H.-C., and
Tsai, P.-J.: Field performance of a semi-continuous monitor for ambient
PM<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> water-soluble inorganic ions and gases at a suburban site, Atmos.
Environ., 144, 376–388, <ext-link xlink:href="https://doi.org/10.1016/j.atmosenv.2016.08.062" ext-link-type="DOI">10.1016/j.atmosenv.2016.08.062</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>Yu, S., Dennis, R., Roselle, S., Nenes, A., Walker, J., Eder, B., Schere,
K., Swall, J., and Robarge, W.: An assessment of the ability of
three-dimensional air quality models with current thermodynamic equilibrium
models to predict aerosol <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, J. Geophys. Res.-Atmos., 110,  D07S13, <ext-link xlink:href="https://doi.org/10.1029/2004JD004718" ext-link-type="DOI">10.1029/2004JD004718</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>Zhang, Q., He, K., and Huo, H.: Cleaning China's air, Nature, 484, 161–162, <ext-link xlink:href="https://doi.org/10.1038/484161a" ext-link-type="DOI">10.1038/484161a</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>Zhang, Q., Quan, J. N., Tie, X. X., Li, X., Liu, Q., Gao, Y., and Zhao, D.
L.: Effects of meteorology and secondary particle formation on visibility
during heavy haze events in Beijing, China, Sci. Total Environ., 502,
578–584, <ext-link xlink:href="https://doi.org/10.1016/j.scitotenv.2014.09.079" ext-link-type="DOI">10.1016/j.scitotenv.2014.09.079</ext-link>, 2015a.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 1?><mixed-citation>Zhang, R., Wang, G., Guo, S., Zamora, M. L., Ying, Q., Lin, Y., Wang, W.,
Hu, M., and Wang, Y.: Formation of Urban Fine Particulate Matter, Chem.
Rev., 115, 3803–3855, <ext-link xlink:href="https://doi.org/10.1021/acs.chemrev.5b00067" ext-link-type="DOI">10.1021/acs.chemrev.5b00067</ext-link>, 2015b.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Nitrate-dominated PM<sub>2.5</sub> and elevation of particle pH observed in urban Beijing during the winter of 2017</article-title-html>
<abstract-html><p>The Chinese government has exerted strict emission controls
to mitigate air pollution since 2013, which has resulted in significant
decreases in the concentrations of air pollutants such as SO<sub>2</sub>. Strict
pollution control actions also reduced the average PM<sub>2.5</sub> concentration
to the low level of 39.7&thinsp;µg m<sup>−3</sup> in urban Beijing during the winter
of 2017. To investigate the impact of such changes on the physiochemical
properties of atmospheric aerosols in China, we conducted a comprehensive
observation focusing on PM<sub>2.5</sub> in Beijing during the winter of 2017.
Compared with the historical record (2014–2017), SO<sub>2</sub> decreased to the
low level of 3.2&thinsp;ppbv in the winter of 2017, but the NO<sub>2</sub> level was still
high (21.4&thinsp;ppbv in the winter of 2017). Accordingly, the contribution of nitrate
(23.0&thinsp;µg m<sup>−3</sup>) to PM<sub>2.5</sub> far exceeded that of sulfate (13.1&thinsp;µg m<sup>−3</sup>) during the pollution episodes, resulting in a significant
increase in the nitrate-to-sulfate molar ratio. The thermodynamic model
(ISORROPIA II) calculation results showed that during the PM<sub>2.5</sub>
pollution episodes particle pH increased from 4.4 (moderate acidic) to 5.4
(more neutralized) when the molar ratio of nitrate to sulfate increased from
1 to 5, indicating that aerosols were more neutralized as the nitrate
content elevated. Controlled variable tests showed that the pH elevation
should be attributed to nitrate fraction increase other than crustal ion and
ammonia concentration increases. Based on the results of sensitivity tests, future prediction for the particle acidity change was discussed. We
found that nitrate-rich particles in Beijing at low and moderate humid
conditions (RH: 20&thinsp;%–50&thinsp;%) can absorb twice the amount of water that
sulfate-rich particles can, and the nitrate and ammonia with higher levels have
synergetic effects, rapidly elevating particle pH to merely neutral (above
5.6). As moderate haze events might occur more frequently under abundant
ammonia and nitrate-dominated PM<sub>2.5</sub> conditions, the major chemical
processes during haze events and the control target should be re-evaluated
to obtain the most effective control strategy.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Badger, C. L., Griffiths, P. T., George, I., Abbatt, J. P. D., and Cox, R.
A.: Reactive Uptake of N<sub>2</sub>O<sub>5</sub> by Aerosol Particles Containing
Mixtures of Humic Acid and Ammonium Sulfate, J. Phys. Chem., 110, 6986–6994, <a href="https://doi.org/10.1021/jp0562678" target="_blank">https://doi.org/10.1021/jp0562678</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>Bertram, T. H. and Thornton, J. A.: Toward a general parameterization of N<sub>2</sub>O<sub>5</sub> reactivity on aqueous particles: the competing effects of particle liquid water, nitrate and chloride, Atmos. Chem. Phys., 9, 8351–8363, <a href="https://doi.org/10.5194/acp-9-8351-2009" target="_blank">https://doi.org/10.5194/acp-9-8351-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>Cao, J.-J., Shen, Z.-X., Chow, J. C., Watson, J. G., Lee, S.-C., Tie, X.-X.,
Ho, K.-F., Wang, G.-H., and Han, Y.-M.: Winter and Summer PM<sub>2.5</sub>
Chemical Compositions in Fourteen Chinese Cities, J. Air. Waste. Manage.,
62, 1214–1226, <a href="https://doi.org/10.1080/10962247.2012.701193" target="_blank">https://doi.org/10.1080/10962247.2012.701193</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>Chen, J. M., Li, C. L., Ristovski, Z., Milic, A., Gu, Y. T., Islam, M. S.,
Wang, S. X., Hao, J. M., Zhang, H. F., He, C. R., Guo, H., Fu, H. B.,
Miljevic, B., Morawska, L., Thai, P., Fat, L., Pereira, G., Ding, A. J.,
Huang, X., and Dumka, U. C.: A review of biomass burning: Emissions and
impacts on air quality, health and climate in China, Sci. Total Environ.,
579, 1000–1034, <a href="https://doi.org/10.1016/j.scitotenv.2016.11.025" target="_blank">https://doi.org/10.1016/j.scitotenv.2016.11.025</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>Chen, T., Chu, B., Ge, Y., Zhang, S., Ma, Q., He, H., and Li, S.-M.:
Enhancement of aqueous sulfate formation by the coexistence of NO<sub>2</sub>∕NH<sub>3</sub> under
high ionic strengths in aerosol water, Environ. Pollut., 252,
236–244, <a href="https://doi.org/10.1016/j.envpol.2019.05.119" target="_blank">https://doi.org/10.1016/j.envpol.2019.05.119</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>Cheng, J., Su, J., Cui, T., Li, X., Dong, X., Sun, F., Yang, Y., Tong, D., Zheng, Y., Li, Y., Li, J., Zhang, Q., and He, K.: Dominant role of emission reduction in PM<sub>2.5</sub> air quality improvement in Beijing during 2013–2017: a model-based decomposition analysis, Atmos. Chem. Phys., 19, 6125–6146, <a href="https://doi.org/10.5194/acp-19-6125-2019" target="_blank">https://doi.org/10.5194/acp-19-6125-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>Cheng, Y., Zheng, G., Wei, C., Mu, Q., Zheng, B., Wang, Z., Gao, M., Zhang,
Q., He, K., Carmichael, G., Pöschl, U., and Su, H.: Reactive nitrogen
chemistry in aerosol water as a source of sulfate during haze events in
China, Sci. Adv., 2, e1601530, <a href="https://doi.org/10.1126/sciadv.1601530" target="_blank">https://doi.org/10.1126/sciadv.1601530</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>Clegg, S. L., Kleeman, M. J., Griffin, R. J., and Seinfeld, J. H.: Effects of uncertainties in the thermodynamic properties of aerosol components in an air quality model – Part 1: Treatment of inorganic electrolytes and organic compounds in the condensed phase, Atmos. Chem. Phys., 8, 1057–1085, <a href="https://doi.org/10.5194/acp-8-1057-2008" target="_blank">https://doi.org/10.5194/acp-8-1057-2008</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>de Foy, B., Lu, Z., and Streets, D. G.: Satellite NO<sub>2</sub> retrievals
suggest China has exceeded its NO<sub><i>x</i></sub> reduction goals from the twelfth
Five-Year Plan, Sci. Rep., 6, 35912, <a href="https://doi.org/10.1038/srep35912" target="_blank">https://doi.org/10.1038/srep35912</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>Ding, A. J., Fu, C. B., Yang, X. Q., Sun, J. N., Zheng, L. F., Xie, Y. N., Herrmann, E., Nie, W., Petäjä, T., Kerminen, V.-M., and Kulmala, M.: Ozone and fine particle in the western Yangtze River Delta: an overview of 1 yr data at the SORPES station, Atmos. Chem. Phys., 13, 5813–5830, <a href="https://doi.org/10.5194/acp-13-5813-2013" target="_blank">https://doi.org/10.5194/acp-13-5813-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation> Elser, M., Huang, R.-J., Wolf, R., Slowik, J. G., Wang, Q., Canonaco, F., Li, G., Bozzetti, C., Daellenbach, K. R., Huang, Y., Zhang, R., Li, Z., Cao, J., Baltensperger, U., El-Haddad, I., and Prévôt, A. S. H.: New insights into PM<sub>2.5</sub> chemical composition and sources in two major cities in China during extreme haze events using aerosol mass spectrometry, Atmos. Chem. Phys., 16, 3207–3225, <a href="https://doi.org/10.5194/acp-16-3207-2016" target="_blank">https://doi.org/10.5194/acp-16-3207-2016</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>Ervens, B., George, C., Williams, J. E., Buxton, G. V., Salmon, G. A.,
Bydder, M., Wilkinson, F., Dentener, F., Mirabel, P., Wolke, R., and
Herrmann, H.: CAPRAM 2.4 (MODAC mechanism): An extended and condensed
tropospheric aqueous phase mechanism and its application, J. Geophys.
Res-Atmos., 108, 4426, <a href="https://doi.org/10.1029/2002JD002202" target="_blank">https://doi.org/10.1029/2002JD002202</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>Fountoukis, C. and Nenes, A.: ISORROPIA II: a computationally efficient
thermodynamic equilibrium model for
K<sup>+</sup>–Ca<sup>2+</sup>–Mg<sup>2+</sup>–NH<sub>4</sub><sup>+</sup>–Na<sup>+</sup>–SO<sub>4</sub><sup>2−</sup>–NO<sub>3</sub><sup>−</sup>–Cl<sup>−</sup>–H<sub>2</sub>O
aerosols, Atmos. Chem. Phys., 7, 4639–4659,
<a href="https://doi.org/10.5194/acp-7-4639-2007" target="_blank">https://doi.org/10.5194/acp-7-4639-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>Freedman, M. A., Ott, E.-J. E., and Marak, K. E.: Role of pH in Aerosol
Processes and Measurement Challenges, J. Phys. Chem., 123, 1275–1284, <a href="https://doi.org/10.1021/acs.jpca.8b10676" target="_blank">https://doi.org/10.1021/acs.jpca.8b10676</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>Ge, S., Wang, G., Zhang, S., Li, D., Xie, Y., Wu, C., Yuan, Q., Chen, J.,
and Zhang, H.: Abundant NH<sub>3</sub> in China Enhances Atmospheric HONO
Production by Promoting the Heterogeneous Reaction of SO<sub>2</sub> with
NO<sub>2</sub>, Environ. Sci. Technol., 53, 14339–14347, <a href="https://doi.org/10.1021/acs.est.9b04196" target="_blank">https://doi.org/10.1021/acs.est.9b04196</a>,
2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>Ge, X., He, Y., Sun, Y., Xu, J., Wang, J., Shen, Y., and Chen, M.:
Characteristics and Formation Mechanisms of Fine Particulate Nitrate in
Typical Urban Areas in China, Atmosphere-Basel, 8, 62, <a href="https://doi.org/10.3390/atmos8030062" target="_blank">https://doi.org/10.3390/atmos8030062</a>,
2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>Ge, Z., Wexler, A. S., and Johnston, M. V.: Multicomponent Aerosol
Crystallization, J. Colloid. Interf. Sci., 183, 68–77, <a href="https://doi.org/10.1006/jcis.1996.0519" target="_blank">https://doi.org/10.1006/jcis.1996.0519</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>Ge, Z., Wexler, A. S., and Johnston, M. V.: Deliquescence Behavior of
Multicomponent Aerosols, J. Phys. Chem., 102, 173–180, <a href="https://doi.org/10.1021/jp972396f" target="_blank">https://doi.org/10.1021/jp972396f</a>,
1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>Guo, H., Sullivan, A. P., Campuzano-Jost, P., Schroder, J. C.,
Lopez-Hilfiker, F. D., Dibb, J. E., Jimenez, J. L., Thornton, J. A., Brown,
S. S., Nenes, A., and Weber, R. J.: Fine particle pH and the partitioning of
nitric acid during winter in the northeastern United States, J. Geophys.
Res.-Atmos., 121, 10355–10376, <a href="https://doi.org/10.1002/2016JD025311" target="_blank">https://doi.org/10.1002/2016JD025311</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>Guo, H., Weber, R. J., and Nenes, A.: High levels of ammonia do not raise
fine particle pH sufficiently to yield nitrogen oxide-dominated sulfate
production, Sci. Rep., 7, 12109, <a href="https://doi.org/10.1038/s41598-017-11704-0" target="_blank">https://doi.org/10.1038/s41598-017-11704-0</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>Guo, S., Hu, M., Zamora, M. L., Peng, J., Shang, D., Zheng, J., Du, Z., Wu,
Z., Shao, M., Zeng, L., Molina, M. J., and Zhang, R.: Elucidating severe
urban haze formation in China, P. Natl. Acad. Sci. USA., 111, 17373, <a href="https://doi.org/10.1073/pnas.1419604111" target="_blank">https://doi.org/10.1073/pnas.1419604111</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>He, K., Yang, F., Ma, Y., Zhang, Q., Yao, X., Chan, C. K., Cadle, S., Chan,
T., and Mulawa, P.: The characteristics of PM<sub>2.5</sub> in Beijing, China,
Atmos. Environ., 35, 4959-4970, <a href="https://doi.org/10.1016/S1352-2310(01)00301-6" target="_blank">https://doi.org/10.1016/S1352-2310(01)00301-6</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>He, P., Alexander, B., Geng, L., Chi, X., Fan, S., Zhan, H., Kang, H., Zheng, G., Cheng, Y., Su, H., Liu, C., and Xie, Z.: Isotopic constraints on heterogeneous sulfate production in Beijing haze, Atmos. Chem. Phys., 18, 5515–5528, <a href="https://doi.org/10.5194/acp-18-5515-2018" target="_blank">https://doi.org/10.5194/acp-18-5515-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>Herrmann, H., Tilgner, A., Barzaghi, P., Majdik, Z., Gligorovski, S.,
Poulain, L., and Monod, A.: Towards a more detailed description of
tropospheric aqueous phase organic chemistry: CAPRAM 3.0, Atmos. Environ.,
39, 4351–4363, <a href="https://doi.org/10.1016/j.atmosenv.2005.02.016" target="_blank">https://doi.org/10.1016/j.atmosenv.2005.02.016</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>Hodas, N., Sullivan, A. P., Skog, K., Keutsch, F. N., Collett, J. L.,
Decesari, S., Facchini, M. C., Carlton, A. G., Laaksonen, A., and Turpin, B.
J.: Aerosol Liquid Water Driven by Anthropogenic Nitrate: Implications for
Lifetimes of Water-Soluble Organic Gases and Potential for Secondary Organic
Aerosol Formation, Environ. Sci. Technol., 48, 11127–11136, <a href="https://doi.org/10.1021/es5025096" target="_blank">https://doi.org/10.1021/es5025096</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>Huang, R.-J., Zhang, Y., Bozzetti, C., Ho, K.-F., Cao, J.-J., Han, Y.,
Daellenbach, K. R., Slowik, J. G., Platt, S. M., Canonaco, F., Zotter, P.,
Wolf, R., Pieber, S. M., Bruns, E. A., Crippa, M., Ciarelli, G.,
Piazzalunga, A., Schwikowski, M., Abbaszade, G., Schnelle-Kreis, J.,
Zimmermann, R., An, Z., Szidat, S., Baltensperger, U., Haddad, I. E., and
Prévôt, A. S. H.: High secondary aerosol contribution to particulate
pollution during haze events in China, Nature, 514,   218–222, <a href="https://doi.org/10.1038/nature13774" target="_blank">https://doi.org/10.1038/nature13774</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>Huang, X., Song, Y., Zhao, C., Li, M., Zhu, T., Zhang, Q., and Zhang, X.:
Pathways of sulfate enhancement by natural and anthropogenic mineral
aerosols in China, J. Geophys. Res.-Atmos., 119, 14165–114179, <a href="https://doi.org/10.1002/2014JD022301" target="_blank">https://doi.org/10.1002/2014JD022301</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation> Huang, X., Liu, Z., Liu, J., Hu, B., Wen, T., Tang, G., Zhang, J., Wu, F., Ji, D., Wang, L., and Wang, Y.: Chemical characterization and source identification of PM<sub>2.5</sub> at multiple sites in the Beijing–Tianjin–Hebei region, China, Atmos. Chem. Phys., 17, 12941–12962, <a href="https://doi.org/10.5194/acp-17-12941-2017" target="_blank">https://doi.org/10.5194/acp-17-12941-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>Jang, M., Czoschke, N. M., Lee, S., and Kamens, R. M.: Heterogeneous
Atmospheric Aerosol Production by Acid-Catalyzed Particle-Phase Reactions,
Science, 298, 814–817,  <a href="https://doi.org/10.1126/science.1075798" target="_blank">https://doi.org/10.1126/science.1075798</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>Ji, D., Li, L., Wang, Y., Zhang, J., Cheng, M., Sun, Y., Liu, Z., Wang, L.,
Tang, G., Hu, B., Chao, N., Wen, T., and Miao, H.: The heaviest particulate
air-pollution episodes occurred in northern China in January, 2013: Insights
gained from observation, Atmos. Environ., 92, 546–556, <a href="https://doi.org/10.1016/j.atmosenv.2014.04.048" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.04.048</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>Ji, D., Cui, Y., Li, L., He, J., Wang, L., Zhang, H., Wang, W., Zhou, L.,
Maenhaut, W., Wen, T., and Wang, Y.: Characterization and source
identification of fine particulate matter in urban Beijing during the 2015
Spring Festival, Sci. Total Environ., 628–629, 430–440, <a href="https://doi.org/10.1016/j.scitotenv.2018.01.304" target="_blank">https://doi.org/10.1016/j.scitotenv.2018.01.304</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>Lang, J., Zhang, Y., Zhou, Y., Cheng, S., Chen, D., Guo, X., Chen, S., Li,
X., Xing, X., and Wang, H.: Trends of PM<sub>2.5</sub> and Chemical Composition in
Beijing, 2000–2015, Aerosol. Air. Qual. Res., 17, 412-425, <a href="https://doi.org/10.4209/aaqr.2016.07.0307" target="_blank">https://doi.org/10.4209/aaqr.2016.07.0307</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>Liu, F., Zhang, Q., van der A, R. J., Zheng, B., Tong, D., Yan, L., Zheng,
Y., and He, K.: Recent reduction in NO<sub><i>x</i></sub> emissions over China: synthesis
of satellite observations and emission inventories, Environ. Res. Lett., 11,
114002, <a href="https://doi.org/10.1088/1748-9326/11/11/114002" target="_blank">https://doi.org/10.1088/1748-9326/11/11/114002</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>Liu, M., Song, Y., Zhou, T., Xu, Z., Yan, C., Zheng, M., Wu, Z., Hu, M., Wu,
Y., and Zhu, T.: Fine particle pH during severe haze episodes in northern
China, Geophys. Res. Lett., 44, 5213–5221, <a href="https://doi.org/10.1002/2017GL073210" target="_blank">https://doi.org/10.1002/2017GL073210</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Liu, M., Huang, X., Song, Y., Xu, T., Wang, S., Wu, Z., Hu, M., Zhang, L., Zhang, Q., Pan, Y., Liu, X., and Zhu, T.: Rapid SO<sub>2</sub> emission reductions significantly increase tropospheric ammonia concentrations over the North China Plain, Atmos. Chem. Phys., 18, 17933–17943, <a href="https://doi.org/10.5194/acp-18-17933-2018" target="_blank">https://doi.org/10.5194/acp-18-17933-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>Liu, M., Huang, X., Song, Y., Tang, J., Cao, J., Zhang, X., Zhang, Q., Wang,
S., Xu, T., Kang, L., Cai, X., Zhang, H., Yang, F., Wang, H., Yu, J. Z.,
Lau, A. K. H., He, L., Huang, X., Duan, L., Ding, A., Xue, L., Gao, J., Liu,
B., and Zhu, T.: Ammonia emission control in China would mitigate haze
pollution and nitrogen deposition, but worsen acid rain, P. Natl. Acad. Sci.
USA, 116, 7760, <a href="https://doi.org/10.1073/pnas.1814880116" target="_blank">https://doi.org/10.1073/pnas.1814880116</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>Mauer, L. J.  and Taylor, L. S.: Water-Solids Interactions: Deliquescence,
Annu. Rev. Food Sci. T., 1, 41–63, <a href="https://doi.org/10.1146/annurev.food.080708.100915" target="_blank">https://doi.org/10.1146/annurev.food.080708.100915</a>,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>Murphy, J. G., Gregoire, P. K., Tevlin, A. G., Wentworth, G. R., Ellis, R.
A., Markovic, M. Z., and VandenBoer, T. C.: Observational constraints on
particle acidity using measurements and modelling of particles and gases,
Faraday Discuss., 200, 379–395, <a href="https://doi.org/10.1039/C7FD00086C" target="_blank">https://doi.org/10.1039/C7FD00086C</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>Oleniacz, R., Rzeszutek, M., Bogacki, M.: Impact of Use of Chemical
Transformation Modules in Calpuff on the Results of Air Dispersion
Modelling, Ecol. Chem. Eng. S., 23, 605–620, <a href="https://doi.org/10.1515/eces-2016-0043" target="_blank">https://doi.org/10.1515/eces-2016-0043</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>Pathak, R. K., Yao, X., and Chan, C. K.: Sampling Artifacts of Acidity and
Ionic Species in PM<sub>2.5</sub>, Environ. Sci. Technol., 38, 254–259, <a href="https://doi.org/10.1021/es0342244" target="_blank">https://doi.org/10.1021/es0342244</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>Pathak, R. K., Wu, W. S., and Wang, T.: Summertime PM2.5 ionic species in four major cities of China: nitrate formation in an ammonia-deficient atmosphere, Atmos. Chem. Phys., 9, 1711–1722, <a href="https://doi.org/10.5194/acp-9-1711-2009" target="_blank">https://doi.org/10.5194/acp-9-1711-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>Pathak, R. K., Wang, T., and Wu, W. S.: Nighttime enhancement of PM<sub>2.5</sub>
nitrate in ammonia-poor atmospheric conditions in Beijing and Shanghai:
Plausible contributions of heterogeneous hydrolysis of N<sub>2</sub>O<sub>5</sub> and
HNO<sub>3</sub> partitioning, Atmos. Environ., 45, 1183–1191, <a href="https://doi.org/10.1016/j.atmosenv.2010.09.003" target="_blank">https://doi.org/10.1016/j.atmosenv.2010.09.003</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>Phillips, S. M., Bellcross, A. D., and Smith, G. D.: Light Absorption by
Brown Carbon in the Southeastern United States is pH-dependent, Environ.
Sci. Technol., 51, 6782–6790, <a href="https://doi.org/10.1021/acs.est.7b01116" target="_blank">https://doi.org/10.1021/acs.est.7b01116</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>Shah, V., Jaeglé, L., Thornton, J. A., Lopez-Hilfiker, F. D., Lee, B.
H., Schroder, J. C., Campuzano-Jost, P., Jimenez, J. L., Guo, H., Sullivan,
A. P., Weber, R. J., Green, J. R., Fiddler, M. N., Bililign, S., Campos, T.
L., Stell, M., Weinheimer, A. J., Montzka, D. D., and Brown, S. S.: Chemical
feedbacks weaken the wintertime response of particulate sulfate and nitrate
to emissions reductions over the eastern United States, P. Natl. Acad. Sci.
USA, 115, 8110, <a href="https://doi.org/10.1073/pnas.1803295115" target="_blank">https://doi.org/10.1073/pnas.1803295115</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>Shao, P., Tian, H., Sun, Y., Liu, H., Wu, B., Liu, S., Liu, X., Wu, Y.,
Liang, W., Wang, Y., Gao, J., Xue, Y., Bai, X., Liu, W., Lin, S., and Hu,
G.: Characterizing remarkable changes of severe haze events and chemical
compositions in multi-size airborne particles (PM<sub>1</sub>, PM<sub>2.5</sub> and
PM<sub>10</sub>) from January 2013 to 2016–2017 winter in Beijing, China, Atmos.
Environ., 189, 133–144, <a href="https://doi.org/10.1016/j.atmosenv.2018.06.038" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.06.038</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>Shi, G., Xu, J., Peng, X., Xiao, Z., Chen, K., Tian, Y., Guan, X., Feng, Y.,
Yu, H., Nenes, A., and Russell, A. G.: pH of Aerosols in a Polluted
Atmosphere: Source Contributions to Highly Acidic Aerosol, Environ. Sci.
Technol., 51, 4289–4296, <a href="https://doi.org/10.1021/acs.est.6b05736" target="_blank">https://doi.org/10.1021/acs.est.6b05736</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>Shi, X., Nenes, A., Xiao, Z., Song, S., Yu, H., Shi, G., Zhao, Q., Chen, K.,
Feng, Y., and Russell, A. G.: High-Resolution Data Sets Unravel the Effects
of Sources and Meteorological Conditions on Nitrate and Its Gas-Particle
Partitioning, Environ. Sci. Technol., 53, 3048–3057, <a href="https://doi.org/10.1021/acs.est.8b06524" target="_blank">https://doi.org/10.1021/acs.est.8b06524</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>Song, S., Gao, M., Xu, W., Shao, J., Shi, G., Wang, S., Wang, Y., Sun, Y., and McElroy, M. B.: Fine-particle pH for Beijing winter haze as inferred from different thermodynamic equilibrium models, Atmos. Chem. Phys., 18, 7423–7438, <a href="https://doi.org/10.5194/acp-18-7423-2018" target="_blank">https://doi.org/10.5194/acp-18-7423-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>Sun, P., Nie, W., Chi, X., Xie, Y., Huang, X., Xu, Z., Qi, X., Xu, Z., Wang, L., Wang, T., Zhang, Q., and Ding, A.: Two years of online measurement of fine particulate nitrate in the western Yangtze River Delta: influences of thermodynamics and N2O5 hydrolysis, Atmos. Chem. Phys., 18, 17177–17190, <a href="https://doi.org/10.5194/acp-18-17177-2018" target="_blank">https://doi.org/10.5194/acp-18-17177-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>Surratt, J. D., Chan, A. W. H., Eddingsaas, N. C., Chan, M., Loza, C. L.,
Kwan, A. J., Hersey, S. P., Flagan, R. C., Wennberg, P. O., and Seinfeld, J.
H.: Reactive intermediates revealed in secondary organic aerosol formation
from isoprene, P. Natl. Acad. Sci. USA, 107, 6640, <a href="https://doi.org/10.1073/pnas.0911114107" target="_blank">https://doi.org/10.1073/pnas.0911114107</a>,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>Tan, Z., Rohrer, F., Lu, K., Ma, X., Bohn, B., Broch, S., Dong, H., Fuchs, H., Gkatzelis, G. I., Hofzumahaus, A., Holland, F., Li, X., Liu, Y., Liu, Y., Novelli, A., Shao, M., Wang, H., Wu, Y., Zeng, L., Hu, M., Kiendler-Scharr, A., Wahner, A., and Zhang, Y.: Wintertime photochemistry in Beijing: observations of RO<sub><i>x</i></sub> radical concentrations in the North China Plain during the BEST-ONE campaign, Atmos. Chem. Phys., 18, 12391–12411, <a href="https://doi.org/10.5194/acp-18-12391-2018" target="_blank">https://doi.org/10.5194/acp-18-12391-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Tang, G., Wang, Y., Li, X., Ji, D., Hsu, S., and Gao, X.: Spatial-temporal variations in surface ozone in Northern China as observed during 2009–2010 and possible implications for future air quality control strategies, Atmos. Chem. Phys., 12, 2757–2776, https://doi.org/10.5194/acp-12-2757-2012, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Tang, G., Zhang, J., Zhu, X., Song, T., Münkel, C., Hu, B., Schäfer, K., Liu, Z., Zhang, J., Wang, L., Xin, J., Suppan, P., and Wang, Y.: Mixing layer height and its implications for air pollution over Beijing, China, Atmos. Chem. Phys., 16, 2459–2475, https://doi.org/10.5194/acp-16-2459-2016, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Tao, Y. and Murphy, J. G.: The sensitivity of PM<sub>2.5</sub> acidity to meteorological parameters and chemical composition changes: 10-year records from six Canadian monitoring sites, Atmos. Chem. Phys., 19, 9309–9320, <a href="https://doi.org/10.5194/acp-19-9309-2019" target="_blank">https://doi.org/10.5194/acp-19-9309-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>ten Brink, H. M. and Veefkind, J. P.: Humidity dependence of the
light-scattering by ammonium nitrate, J. Aerosol. Sci., 26, S553–S554, <a href="https://doi.org/10.1016/0021-8502(95)97184-G" target="_blank">https://doi.org/10.1016/0021-8502(95)97184-G</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>Titos, G., Jefferson, A., Sheridan, P. J., Andrews, E., Lyamani, H., Alados-Arboledas, L., and Ogren, J. A.: Aerosol light-scattering enhancement due to water uptake during the TCAP campaign, Atmos. Chem. Phys., 14, 7031–7043, <a href="https://doi.org/10.5194/acp-14-7031-2014" target="_blank">https://doi.org/10.5194/acp-14-7031-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>Wang, G., Zhang, R., Gomez, M. E., Yang, L., Levy Zamora, M., Hu, M., Lin,
Y., Peng, J., Guo, S., Meng, J., Li, J., Cheng, C., Hu, T., Ren, Y., Wang,
Y., Gao, J., Cao, J., An, Z., Zhou, W., Li, G., Wang, J., Tian, P.,
Marrero-Ortiz, W., Secrest, J., Du, Z., Zheng, J., Shang, D., Zeng, L.,
Shao, M., Wang, W., Huang, Y., Wang, Y., Zhu, Y., Li, Y., Hu, J., Pan, B.,
Cai, L., Cheng, Y., Ji, Y., Zhang, F., Rosenfeld, D., Liss, P. S., Duce, R.
A., Kolb, C. E., and Molina, M. J.: Persistent sulfate formation from London
Fog to Chinese haze, P. Natl. Acad. Sci. USA, 113, 13630, <a href="https://doi.org/10.1073/pnas.1616540113" target="_blank">https://doi.org/10.1073/pnas.1616540113</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>Wang, G., Zhang, F., Peng, J., Duan, L., Ji, Y., Marrero-Ortiz, W., Wang, J., Li, J., Wu, C., Cao, C., Wang, Y., Zheng, J., Secrest, J., Li, Y., Wang, Y., Li, H., Li, N., and Zhang, R.: Particle acidity and sulfate production during severe haze events in China cannot be reliably inferred by assuming a mixture of inorganic salts, Atmos. Chem. Phys., 18, 10123–10132, <a href="https://doi.org/10.5194/acp-18-10123-2018" target="_blank">https://doi.org/10.5194/acp-18-10123-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>Wang, H., Lu, K., Chen, X., Zhu, Q., Chen, Q., Guo, S., Jiang, M., Li, X.,
Shang, D., Tan, Z., Wu, Y., Wu, Z., Zou, Q., Zheng, Y., Zeng, L., Zhu, T.,
Hu, M., and Zhang, Y.: High N<sub>2</sub>O<sub>5</sub> Concentrations Observed in Urban
Beijing: Implications of a Large Nitrate Formation Pathway, Environ. Sci.
Tech. Let., 4, 416–420, <a href="https://doi.org/10.1021/acs.estlett.7b00341" target="_blank">https://doi.org/10.1021/acs.estlett.7b00341</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>Wang, T., Wang, P., Theys, N., Tong, D., Hendrick, F., Zhang, Q., and Van Roozendael, M.: Spatial and temporal changes in SO<sub>2</sub> regimes over China in the recent decade and the driving mechanism, Atmos. Chem. Phys., 18, 18063–18078, <a href="https://doi.org/10.5194/acp-18-18063-2018" target="_blank">https://doi.org/10.5194/acp-18-18063-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>Wang, X., Shen, X. J., Sun, J. Y., Zhang, X. Y., Wang, Y. Q., Zhang, Y. M.,
Wang, P., Xia, C., Qi, X. F., and Zhong, J. T.: Size-resolved hygroscopic
behavior of atmospheric aerosols during heavy aerosol pollution episodes in
Beijing in December 2016, Atmos. Environ., 194, 188–197, <a href="https://doi.org/10.1016/j.atmosenv.2018.09.041" target="_blank">https://doi.org/10.1016/j.atmosenv.2018.09.041</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>Wang, Y., Zhang, Q. Q., He, K., Zhang, Q., and Chai, L.: Sulfate-nitrate-ammonium aerosols over China: response to 2000–2015 emission changes of sulfur dioxide, nitrogen oxides, and ammonia, Atmos. Chem. Phys., 13, 2635–2652, <a href="https://doi.org/10.5194/acp-13-2635-2013" target="_blank">https://doi.org/10.5194/acp-13-2635-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>Wang, Y., Zhang, Q., Jiang, J., Zhou, W., Wang, B., He, K., Duan, F., Zhang,
Q., Philip, S., and Xie, Y.: Enhanced sulfate formation during China's
severe winter haze episode in January 2013 missing from current models, J.
Geophys. Res.-Atmos., 119, 10425–410440, <a href="https://doi.org/10.1002/2013JD021426" target="_blank">https://doi.org/10.1002/2013JD021426</a>, 2014.

</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>Weber, R. J., Guo, H., Russell, A. G., and Nenes, A.: High aerosol acidity
despite declining atmospheric sulfate concentrations over the past 15 years,
Nat. Geosci., 9,  282–285, <a href="https://doi.org/10.1038/ngeo2665" target="_blank">https://doi.org/10.1038/ngeo2665</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>Wei, H., Vejerano, E. P., Leng, W., Huang, Q., Willner, M. R., Marr, L. C.,
and Vikesland, P. J.: Aerosol microdroplets exhibit a stable pH gradient, P.
Natl. Acad. Sci. USA., 115, 7272, <a href="https://doi.org/10.1073/pnas.1720488115" target="_blank">https://doi.org/10.1073/pnas.1720488115</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>Wexler, A. S., and Seinfeld, J. H.: Second-generation inorganic aerosol
model, Atmos. Environ. A-Gen., 25, 2731–2748, <a href="https://doi.org/10.1016/0960-1686(91)90203-J" target="_blank">https://doi.org/10.1016/0960-1686(91)90203-J</a>,
1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>Willeke, K., Society, A. C., and Kagakkai, N.: Generation of Aerosols and
Facilities for Exposure Experiments, edited by:  Willeke, K.,    Ann Arbor Science Publishers Inc. Michigan, 1980.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>Xie, Y., Ding, A., Nie, W., Mao, H., Qi, X., Huang, X., Xu, Z., Kerminen,
V.-M., Petäjä, T., Chi, X., Virkkula, A., Boy, M., Xue, L., Guo, J.,
Sun, J., Yang, X., Kulmala, M., and Fu, C.: Enhanced sulfate formation by
nitrogen dioxide: Implications from in situ observations at the SORPES
station, J. Geophys. Res.-Atmos., 120, 12679–12694, <a href="https://doi.org/10.1002/2015JD023607" target="_blank">https://doi.org/10.1002/2015JD023607</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>Xue, J., Griffith, S. M., Yu, X., Lau, A. K. H., and Yu, J. Z.: Effect of
nitrate and sulfate relative abundance in PM<sub>2.5</sub> on liquid water content
explored through half-hourly observations of inorganic soluble aerosols at a
polluted receptor site, Atmos. Environ., 99, 24–31, <a href="https://doi.org/10.1016/j.atmosenv.2014.09.049" target="_blank">https://doi.org/10.1016/j.atmosenv.2014.09.049</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>Xue, J., Yu, X., Yuan, Z., Griffith, S. M., Lau, A. K. H., Seinfeld, J. H.,
and Yu, J. Z.: Efficient control of atmospheric sulfate production based on
three formation regimes, Nat. Geosci., 12, 977–982, <a href="https://doi.org/10.1038/s41561-019-0485-5" target="_blank">https://doi.org/10.1038/s41561-019-0485-5</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>Young, L.-H., Li, C.-H., Lin, M.-Y., Hwang, B.-F., Hsu, H.-T., Chen, Y.-C.,
Jung, C.-R., Chen, K.-C., Cheng, D.-H., Wang, V.-S., Chiang, H.-C., and
Tsai, P.-J.: Field performance of a semi-continuous monitor for ambient
PM<sub>2.5</sub> water-soluble inorganic ions and gases at a suburban site, Atmos.
Environ., 144, 376–388, <a href="https://doi.org/10.1016/j.atmosenv.2016.08.062" target="_blank">https://doi.org/10.1016/j.atmosenv.2016.08.062</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>Yu, S., Dennis, R., Roselle, S., Nenes, A., Walker, J., Eder, B., Schere,
K., Swall, J., and Robarge, W.: An assessment of the ability of
three-dimensional air quality models with current thermodynamic equilibrium
models to predict aerosol NO<sub>3</sub><sup>−</sup>, J. Geophys. Res.-Atmos., 110,  D07S13, <a href="https://doi.org/10.1029/2004JD004718" target="_blank">https://doi.org/10.1029/2004JD004718</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>Zhang, Q., He, K., and Huo, H.: Cleaning China's air, Nature, 484, 161–162, <a href="https://doi.org/10.1038/484161a" target="_blank">https://doi.org/10.1038/484161a</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>Zhang, Q., Quan, J. N., Tie, X. X., Li, X., Liu, Q., Gao, Y., and Zhao, D.
L.: Effects of meteorology and secondary particle formation on visibility
during heavy haze events in Beijing, China, Sci. Total Environ., 502,
578–584, <a href="https://doi.org/10.1016/j.scitotenv.2014.09.079" target="_blank">https://doi.org/10.1016/j.scitotenv.2014.09.079</a>, 2015a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>Zhang, R., Wang, G., Guo, S., Zamora, M. L., Ying, Q., Lin, Y., Wang, W.,
Hu, M., and Wang, Y.: Formation of Urban Fine Particulate Matter, Chem.
Rev., 115, 3803–3855, <a href="https://doi.org/10.1021/acs.chemrev.5b00067" target="_blank">https://doi.org/10.1021/acs.chemrev.5b00067</a>, 2015b.
</mixed-citation></ref-html>--></article>
