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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-19-2283-2019</article-id><title-group><article-title>Primary emissions versus secondary formation of fine particulate matter in
the most polluted city (Shijiazhuang) in North China</article-title><alt-title>Primary emissions versus secondary formation of fine particulate matter </alt-title>
      </title-group><?xmltex \runningtitle{Primary emissions versus secondary formation of fine particulate matter }?><?xmltex \runningauthor{R.-J. Huang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Huang</surname><given-names>Ru-Jin</given-names></name>
          <email>rujin.huang@ieecas.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Yichen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Cao</surname><given-names>Junji</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Lin</surname><given-names>Chunshui</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3175-6778</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Duan</surname><given-names>Jing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Chen</surname><given-names>Qi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3559-8914</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Li</surname><given-names>Yongjie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7631-9136</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Gu</surname><given-names>Yifang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Yan</surname><given-names>Jin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Xu</surname><given-names>Wei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9590-1906</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Fröhlich</surname><given-names>Roman</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Canonaco</surname><given-names>Francesco</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Bozzetti</surname><given-names>Carlo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ovadnevaite</surname><given-names>Jurgita</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ceburnis</surname><given-names>Darius</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Canagaratna</surname><given-names>Manjula R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8803-4007</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Jayne</surname><given-names>John</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Worsnop</surname><given-names>Douglas R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>El-Haddad</surname><given-names>Imad</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2461-7238</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Prévôt</surname><given-names>André S. H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>O'Dowd</surname><given-names>Colin D.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Aerosol Chemistry and Physics, State Key Laboratory
of Loess and Quaternary Geology, <?xmltex \hack{\break}?>Institute of Earth Environment, Chinese
Academy of Sciences, Xi'an 710061, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>CAS Center for Excellence in Quaternary Science and Global Change, Chinese
Academy of Sciences, Xi'an 710061, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Physics and Centre for Climate and Air Pollution Studies,
National University of Ireland Galway, Galway, Ireland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>State Key Joint Laboratory of Environmental Simulation and Pollution
Control, College of Environmental Sciences <?xmltex \hack{\break}?>and Engineering, Peking
University, Beijing 100871, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Civil and Environmental Engineering, Faculty of Science
and Technology, University of Macau, <?xmltex \hack{\break}?>Taipa, Macau, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Laboratory of Atmospheric Chemistry, Paul Scherrer Institute (PSI), 5232 Villigen, Switzerland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Aerodyne Research, Inc., Billerica, MA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ru-Jin Huang (rujin.huang@ieecas.cn)</corresp></author-notes><pub-date><day>21</day><month>February</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>4</issue>
      <fpage>2283</fpage><lpage>2298</lpage>
      <history>
        <date date-type="received"><day>24</day><month>July</month><year>2018</year></date>
           <date date-type="rev-request"><day>26</day><month>July</month><year>2018</year></date>
           <date date-type="rev-recd"><day>16</day><month>January</month><year>2019</year></date>
           <date date-type="accepted"><day>6</day><month>February</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</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>
    <p id="d1e311">Particulate matter (PM) pollution is a severe environmental problem in the Beijing–Tianjin–Hebei (BTH) region in North
China. PM studies have been conducted extensively in Beijing, but the
chemical composition, sources, and atmospheric processes of PM are still
relatively less known in nearby Tianjin and Hebei. In this study, fine PM
in urban Shijiazhuang (the capital of Hebei Province) was characterized using
an Aerodyne quadrupole aerosol chemical speciation monitor (Q-ACSM) from
11 January to 18 February in 2014. The average mass concentration of
non-refractory submicron PM (diameter <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, NR-PM<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>) was
<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">178</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">101</mml:mn></mml:mrow></mml:math></inline-formula> <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 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 it was composed of 50 % organic aerosol
(OA), 21 % sulfate, 12 % nitrate, 11 % ammonium, and 6 % chloride.
Using the multilinear engine (ME-2) receptor model, five OA sources were
identified and quantified, including hydrocarbon-like OA from vehicle
emissions (HOA, 13 %), cooking OA (COA, 16 %), biomass burning OA (BBOA,
17 %), coal combustion OA (CCOA, 27 %), and oxygenated OA (OOA, 27 %).
We found that secondary formation contributed substantially to PM in episodic
events, whereas primary emissions were dominant (most significant) on average.
The episodic events with the highest NR-PM<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass range of
300–360 <inline-formula><mml:math id="M7" 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 comprised of 55 % of secondary species. On the
contrary, a campaign-average low OOA fraction (27 %) in OA indicated the
importance of primary emissions, and a low sulfur oxidation degree
(<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) of 0.18 even at RH <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> % hinted at insufficient
oxidation. These results suggested that in Shijiazhuang in wintertime fine PM
was mostly from primary emissions without sufficient atmospheric aging,
indicating opportunities for air quality improvement by mitigating direct
emissions. In addition, secondary inorganic and organic (OOA) species
dominated in pollution events with high-RH conditions, most likely due to
enhanced aqueous-phase chemistry, whereas primary organic aerosol (POA)
dominated in pollution events with low-RH and stagnant conditions. These
results also highlighted the importance of meteorological conditions for PM
pollution in this highly polluted city in North China.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<?pagebreak page2284?><sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e435">Particulate pollution in China is a serious environmental problem,
influencing air quality, regional and global climate, and human health.
Especially during recent winters, large-scale and severe haze pollution has
brought China's particulate pollution at the forefront of world-wide media
and has evoked great scientific interest in air pollution studies. Measurements
at a number of major cities showed that the wintertime daily average mass
concentrations of 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> (particulate matter with an aerodynamic
diameter <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) are approximately 1–2 orders of magnitude
higher than those observed in urban areas in the US and Europe
(Huang et al., 2014). Severe particulate pollution is often accompanied by
extremely poor visibility and poor air quality leading to a sharp increase in
respiratory diseases. Long-term exposure to high levels of particulate
pollution was estimated to have resulted in 1.1 million deaths in China in 2015,
ranking China first in the world with respect to air-pollution-related mortality (Cohen et al., 2017).</p>
      <p id="d1e467">The Beijing–Tianjin–Hebei (BTH) region is one of the important city
clusters in China, but also suffers from serious air pollution. Seven cities
in this region ranked the top 10 most polluted cities in China in the year
2014–2015 (<uri>http://www.zhb.gov.cn</uri>, last acces: 7 February 2017). The urgent need for an air quality improvement in this region has
been recognized by central and local governments as well as the public,
which has led to mitigating actions being undertaken by the authorities. In
particular, various emission control measures have been implemented in this region
to clean Beijing's air, e.g., during the 2014 Asia-Pacific Economic
Cooperation (APEC) summit. These temporal measures include the odd–even ban
on vehicles and shutdowns of factories and construction sites, which have led to
serious side effects on daily life and economic growth. Therefore, the
identification of the major sources and atmospheric processes producing
airborne particles is required for implementing targeted and optimized
emission control strategies.</p>
      <p id="d1e473">The first step for quantifying PM sources requires the measurement of
inorganic and organic tracers and/or mass spectrometric fingerprints of
ambient PM samples. This can be realized by online ambient measurements
using aerosol mass spectrometric (AMS) techniques to determine aerosol
composition (Jimenez et al., 2009; Ng et al., 2011b; Elser et al., 2016b). In
particular, the quadrupole aerosol chemical speciation monitor (Q-ACSM) and,
recently, the time-of-flight aerosol chemical speciation monitor (TOF-ACSM) have
been developed for long-term continuous measurements of non-refractory
submicron aerosols (Ng et al., 2011a; Fröhlich et al., 2013). Aerosol
sources have been successfully identified from AMS measurements using
positive matrix factorization (PMF) analysis (Ulbrich et al., 2009; Crippa et
al., 2013; Elser et al., 2016a). In terms of Q-ACSM data sets, the use of PMF
often fails to resolve sources with similar mass spectral profiles, e.g., the
mixing of cooking organic aerosol with traffic organic aerosol in Nanjing
(Zhang et al., 2015), or those present in low contributions, e.g., the lack
of success in resolving a factor related to biomass burning in Beijing (Jiang
et al., 2015). It has also been pointed out that PMF cannot separate the aerosol
sources of temporal covariations driven by low temperature and periods of
strong inversions (Canonaco et al., 2013; Reyes-Villegas et al., 2016). Several source
apportionment studies (in which PMF did not find optimal results) have
utilized the multilinear engine (ME-2) solver, which enables the constraint of
the factor profiles/time series, providing a superior separation of the PM
sources (e.g., Canonaco et al., 2013, 2015; Fröhlich et
al., 2015a, b; Minguillón et al., 2015; Petit et al., 2015; Ripoll et
al., 2015; Reyes-Villegas et al., 2016; Bressi et al., 2016; Schlag et al., 2016; Wang
et al., 2017; Zhu et al., 2018). However, studies using ME-2 to resolve OA
sources from the ACSM measurements are scarce in the BTH region.</p>
      <p id="d1e476">Apart from the lack of applications of ME-2 for OA source apportionment,
most field studies have mainly focused on the aerosol pollution in
Beijing (Sun et al., 2013, 2014, 2016; Jiang et al.,
2015; Xu et al., 2015; Elser et al., 2016a; Hu et al., 2016a). These and
related studies have clearly shown that Beijing is sensitive to the regional
transport of aerosols from its surrounding areas (Xu et al., 2008; Zhang et
al., 2012; P. Li et al., 2015). For example, Guo et al. (2010) estimated that
the regional pollutants accounted for 69 % of PM<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> and
87 % of PM<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1.8</mml:mn></mml:msub></mml:math></inline-formula>  on average in Beijing during summer, with sulfate, ammonium, and
oxalate mostly formed regionally (regional contributions <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">87</mml:mn></mml:mrow></mml:math></inline-formula> %). Sun et
al. (2014) reported that 66 % of NR-PM<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> was from regional transport in
Beijing during the 2013 winter haze event. Among the surrounding areas of
Beijing, the Hebei Province is the main source area leading to high aerosol
loadings in Beijing (Chen et al., 2007; Xu et al., 2008; Lang et al., 2013;
P. Li et al., 2015).</p>
      <p id="d1e517">Shijiazhuang, the capital of Hebei Province, is located <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">270</mml:mn></mml:mrow></mml:math></inline-formula> km south
of Beijing and has a population approximately half that of Beijing.  P. Zhao et
al. (2013) and P. S. Zhao et al. (2013)  characterized the spatial and seasonal variations of
the 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> chemical composition in the BTH region, and Shijiazhuang was
selected as the representative of the polluted cities in Hebei Province. The
off-line analysis results showed that organic carbon (OC) and elemental
carbon (EC) concentrations in Shijiazhuang were lower in the spring and
summer than those in the autumn and winter. The sum of secondary inorganic
species (<inline-formula><mml:math id="M19" 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="M20" 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 <inline-formula><mml:math id="M21" 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>) was
highest in the autumn. However, the temporal profiles of PM composition cannot be
captured by off-line analyses, hindering more detailed study of the sources
and formation of PM. In this work, we present for the first time the 30 min
time resolved NR-PM<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> measurements in Shijiazhuang during the winter
heating season. The characteristics of NR-PM<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> are analyzed, which
include the following: (1) time series, mass fraction, and diurnal variation of NR-PM<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
species; (2) multilinear engine (ME-2)-resolved OA sources and their mass
fraction as well as their diurnal variation; and (3) the<?pagebreak page2285?> characteristics and
atmospheric evolution of aerosol composition and sources under different
aerosol loadings and meteorological conditions.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <title>Sampling site</title>
      <p id="d1e620">Shijiazhuang, the capital of Hebei Province, is located <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">270</mml:mn></mml:mrow></mml:math></inline-formula> km south
of Beijing. In 2014, <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> million residents and 2.1 million vehicles
were reported in this city. It is often ranked first on the list of the top
10 most polluted cities in China, especially during wintertime heating
periods (from 15 November to 15 March of the next year). For example, the
average concentration of PM<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was 226.5 <inline-formula><mml:math id="M28" 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 a
peak hourly concentration of 933 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace 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 2013–2014
wintertime heating period, largely exceeding the Chinese air pollution limit
of 75 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. In this study, we performed an intensive field
measurement campaign at an urban site in Shijiazhuang to investigate the
chemical composition, sources, and atmospheric processes of fine particles.
The campaign was carried out from 11 January to 18 February 2014 on the
building roof (15 m) of the Institute of Genetics and Developmental Biology,
Chinese Academy of Sciences (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mn mathvariant="normal">38</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">3</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="M32" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">114</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">32</mml:mn><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mn mathvariant="normal">29</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> E), a site located in a residential–business mixed zone.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Instrumentation</title>
      <p id="d1e765">NR-PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> was measured using an Aerodyne quadrupole aerosol chemical
speciation monitor (Q-ACSM), which can provide quantitative mass
concentration and mass spectra of non-refractory species including organics,
sulfate, nitrate, ammonium, and chloride. The operation principles of Q-ACSM
can be found elsewhere (Ng et al., 2011a). The ambient aerosol was drawn
through a Nafion dryer (Perma Pure PD-50T-24SS) following a URG cyclone
(model: URG-2000-30ED) with a cutoff size of 2.5 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to remove
coarse particles. The sampling flow was <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> L min<inline-formula><mml:math id="M36" 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>, of which
<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula> mL min<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> was isokinetically sampled into the Q-ACSM. The
residence time in the sampling tube was <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> s. The Q-ACSM was operated
with a time resolution of 30 min and scanned from <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 10 to 150 at
200 ms amu<inline-formula><mml:math id="M41" 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>. Dry monodispersed 300 nm ammonium nitrate and ammonium
sulfate particles (selected by a differential mobility analyzer, DMA, TSI
model 3080) were nebulized from a custom-built atomizer and sampled into the
Q-ACSM and a condensation particle counter (CPC, TSI model 3772) calibrating
ionization efficiency (IE). Therefore, IE can be determined by comparing the
response factors of Q-ACSM to the mass calculated with the known particle
size and the number concentration from the CPC.</p>
      <p id="d1e866">Ozone (<inline-formula><mml:math id="M42" 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>) was measured by a Thermo Scientific Model 49i ozone
analyzer, CO by a Thermo Scientific Model 48i carbon monoxide analyzer,
<inline-formula><mml:math id="M43" 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 an Ecotech EC 9850 sulfur dioxide analyzer, and
<inline-formula><mml:math id="M44" 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> by a Thermo Scientific Model 42i
NO–<inline-formula><mml:math id="M45" 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="M46" 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> analyzer. The meteorological data,
including temperature, relative humidity (RH), precipitation, wind speed, and
wind direction, were measured by an automatic weather station (MAWS201,
Vaisala, Vantaa, Finland) and a wind sensor (Vaisala Model QMW101-M2).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>Data analysis</title>
<sec id="Ch1.S2.SS3.SSS1">
  <title>Q-ACSM data analysis</title>
      <p id="d1e935">The mass concentrations and composition of NR-PM<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> were analyzed with the
standard Q-ACSM data analysis software written in Igor Pro (WaveMetrics,
Inc., OR, USA). Standard relative ionization efficiencies (RIEs) were used
for organics, nitrate, and chloride (i.e., 1.4 for organics, 1.1 for nitrate,
and 1.3 for chloride) (Ng et al., 2011a), and RIEs for ammonium (6.0) and
sulfate (1.2) were derived from the IE calibrations. The particle collection
efficiency (CE) was applied to correct for the particle loss at the vaporizer
due to particle bounce, which is influenced by aerosol acidity, composition,
and the aerosol water content. Given that aerosol was dried before entering
into Q-ACSM and that the ammonium nitrate mass fraction (ANMF) during the
observation period was lower than 0.4, the composition dependent CE was
estimated following the method described in Middlebrook et al. (2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e949">Time series of relative humidity and temperature <bold>(a)</bold>, <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> and
<inline-formula><mml:math id="M49" 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> <bold>(b)</bold>, <inline-formula><mml:math id="M50" 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 CO <bold>(c)</bold>, and the NR-PM<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species <bold>(d)</bold>
during the observation period. Six high-RH (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> %) polluted
episodes (H1–H6), four low-RH (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) polluted episodes (L1–L4), and
four clean episodes (C1–C4) are marked for further discussion.
</p></caption>
            <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <title>The multilinear engine (ME-2)</title>
      <?pagebreak page2286?><p id="d1e1039">PMF is a bilinear receptor model that represents an input data matrix as a
linear combination of a set of factor profiles and their time-dependent
concentrations (Paatero and Tapper, 1994). Factors typically correspond to
unique sources and/or processes. This allows for a quantitative apportionment
of bulk mass spectral time series into several factors through the
minimization of a quantity <inline-formula><mml:math id="M54" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>, which is the sum of the squares of the
error-weighted residuals of the model. The PMF-AMS/ACSM analyses have been
widely used for apportioning the sources of organic aerosol. However, in
conventional PMF analyses, rotational ambiguity with limited rotational
controls can lead to unclear factor resolution, especially in China where the
emission sources are very complex and covariant during haze events. In
contrast, the multilinear engine (ME-2), used in this study, enables
efficient exploration of the entire solution space and can direct the
apportionment towards an environmentally meaningful solution through the
constraints of a subset of a priori factor profiles or time series using the
<inline-formula><mml:math id="M55" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> value approach (Canonaco et al., 2013). The <inline-formula><mml:math id="M56" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> value can vary between 0
and 1. An <inline-formula><mml:math id="M57" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> value of 0.1 accounts for maximum <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % variability of
each <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> signal of the final solution spectra that may differ from the
anchor, implying that some <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> signals might increase while some might
decrease.
<?xmltex \hack{\newpage}?>
The source finder (SoFi, Canonaco et al., 2013) tool version 4.9 for Igor Pro
was used for ME-2 input preparation and result analysis. The number of
factors resolved is determined by the user and the solutions of the model are
not mathematically unique due to rotational ambiguity. Therefore, it is
critical to study other parameters, e.g., the chemical fingerprint of the
factor profiles, diurnal cycles, and time series of factors and external
measurements, to support factor identification and interpretation (Canonaco
et al., 2013; Crippa et al., 2014; Elser et al., 2016b).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{Concentration and chemical composition of NR-PM${}_{{1}}$}?><title>Concentration and chemical composition of NR-PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p id="d1e1129">Figure 1 shows the time series of NR-PM<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species, trace gases, and
meteorological conditions during the entire measurement period. The measured
mass concentrations of NR-PM<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> for the entire campaign period ranged from
a few to 508.4 <inline-formula><mml:math id="M64" 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 of <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">178</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">101</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M66" 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>. That was much higher than the
wintertime/summertime concentrations measured in many other cities (see
Table 1). The mass concentration of NR-PM<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> correlated strongly with that
of PM<inline-formula><mml:math id="M68" 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="M69" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn></mml:mrow></mml:math></inline-formula>) with a regression slope of 0.72, indicating
that NR-PM<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> represents a majority of PM<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass. The NR-PM<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
concentrations exceeded the Chinese PM<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> limit of 75 <inline-formula><mml:math id="M74" 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> for 90 % of days during the measurement period, showing the
severity of particulate air pollution at Shijiazhuang.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e1293">The fine PM mass concentrations and fractional contribution of
different compositions at different locations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">City</oasis:entry>
         <oasis:entry colname="col2">Season</oasis:entry>
         <oasis:entry colname="col3">NR-PM<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">OA %</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M78" 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="col6"><inline-formula><mml:math id="M79" 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="col7"><inline-formula><mml:math id="M80" 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="col8"><inline-formula><mml:math id="M81" 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="col9">Ref.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml: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="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2010</oasis:entry>
         <oasis:entry colname="col3">60</oasis:entry>
         <oasis:entry colname="col4">54</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">9</oasis:entry>
         <oasis:entry colname="col9">Hu et al. (2016a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2011</oasis:entry>
         <oasis:entry colname="col3">59</oasis:entry>
         <oasis:entry colname="col4">51</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">14</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">Sun et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2012</oasis:entry>
         <oasis:entry colname="col3">66.8</oasis:entry>
         <oasis:entry colname="col4">52</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">16</oasis:entry>
         <oasis:entry colname="col7">13</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">Sun et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2012</oasis:entry>
         <oasis:entry colname="col3">79</oasis:entry>
         <oasis:entry colname="col4">52</oasis:entry>
         <oasis:entry colname="col5">17</oasis:entry>
         <oasis:entry colname="col6">14</oasis:entry>
         <oasis:entry colname="col7">10</oasis:entry>
         <oasis:entry colname="col8">7</oasis:entry>
         <oasis:entry colname="col9">Wang et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2013</oasis:entry>
         <oasis:entry colname="col3">77</oasis:entry>
         <oasis:entry colname="col4">50</oasis:entry>
         <oasis:entry colname="col5">19</oasis:entry>
         <oasis:entry colname="col6">16</oasis:entry>
         <oasis:entry colname="col7">12</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">Sun et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2013</oasis:entry>
         <oasis:entry colname="col3">13.0</oasis:entry>
         <oasis:entry colname="col4">52</oasis:entry>
         <oasis:entry colname="col5">17</oasis:entry>
         <oasis:entry colname="col6">14</oasis:entry>
         <oasis:entry colname="col7">10</oasis:entry>
         <oasis:entry colname="col8">7</oasis:entry>
         <oasis:entry colname="col9">Jiang et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2013</oasis:entry>
         <oasis:entry colname="col3">64</oasis:entry>
         <oasis:entry colname="col4">60</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">8</oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">Sun et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Winter,  2014</oasis:entry>
         <oasis:entry colname="col3">75<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">56</oasis:entry>
         <oasis:entry colname="col5">16</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">7</oasis:entry>
         <oasis:entry colname="col8">11</oasis:entry>
         <oasis:entry colname="col9">Elser et al. (2016a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Summer, 2011</oasis:entry>
         <oasis:entry colname="col3">80</oasis:entry>
         <oasis:entry colname="col4">32</oasis:entry>
         <oasis:entry colname="col5">28</oasis:entry>
         <oasis:entry colname="col6">21</oasis:entry>
         <oasis:entry colname="col7">17</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">Hu et al. (2016a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing</oasis:entry>
         <oasis:entry colname="col2">Summer, 2012</oasis:entry>
         <oasis:entry colname="col3">52</oasis:entry>
         <oasis:entry colname="col4">41</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">25</oasis:entry>
         <oasis:entry colname="col7">17</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">Sun et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lanzhou</oasis:entry>
         <oasis:entry colname="col2">Winter,  2014</oasis:entry>
         <oasis:entry colname="col3">57.3</oasis:entry>
         <oasis:entry colname="col4">55</oasis:entry>
         <oasis:entry colname="col5">13</oasis:entry>
         <oasis:entry colname="col6">18</oasis:entry>
         <oasis:entry colname="col7">11</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">Xu et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lanzhou</oasis:entry>
         <oasis:entry colname="col2">Summer, 2012</oasis:entry>
         <oasis:entry colname="col3">24</oasis:entry>
         <oasis:entry colname="col4">53</oasis:entry>
         <oasis:entry colname="col5">18</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">13</oasis:entry>
         <oasis:entry colname="col8">5</oasis:entry>
         <oasis:entry colname="col9">Xu et al. (2014)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ziyang</oasis:entry>
         <oasis:entry colname="col2">Winter,  2012</oasis:entry>
         <oasis:entry colname="col3">60</oasis:entry>
         <oasis:entry colname="col4">40</oasis:entry>
         <oasis:entry colname="col5">24</oasis:entry>
         <oasis:entry colname="col6">15</oasis:entry>
         <oasis:entry colname="col7">17</oasis:entry>
         <oasis:entry colname="col8">4</oasis:entry>
         <oasis:entry colname="col9">Hu et al. (2016b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Handan</oasis:entry>
         <oasis:entry colname="col2">Winter,  2015</oasis:entry>
         <oasis:entry colname="col3">178</oasis:entry>
         <oasis:entry colname="col4">47</oasis:entry>
         <oasis:entry colname="col5">16</oasis:entry>
         <oasis:entry colname="col6">15</oasis:entry>
         <oasis:entry colname="col7">13</oasis:entry>
         <oasis:entry colname="col8">9</oasis:entry>
         <oasis:entry colname="col9">Li et al. (2017)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shenzhen</oasis:entry>
         <oasis:entry colname="col2">Autumn, 2009</oasis:entry>
         <oasis:entry colname="col3">38.3</oasis:entry>
         <oasis:entry colname="col4">46</oasis:entry>
         <oasis:entry colname="col5">29</oasis:entry>
         <oasis:entry colname="col6">12</oasis:entry>
         <oasis:entry colname="col7">11</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">He et al. (2011)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shanghai</oasis:entry>
         <oasis:entry colname="col2">Summer, 2010</oasis:entry>
         <oasis:entry colname="col3">27</oasis:entry>
         <oasis:entry colname="col4">31</oasis:entry>
         <oasis:entry colname="col5">36</oasis:entry>
         <oasis:entry colname="col6">17</oasis:entry>
         <oasis:entry colname="col7">14</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">Huang et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Nanjing</oasis:entry>
         <oasis:entry colname="col2">Summer, 2013</oasis:entry>
         <oasis:entry colname="col3">36.8</oasis:entry>
         <oasis:entry colname="col4">42</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">24</oasis:entry>
         <oasis:entry colname="col7">19</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">Zhang et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hong Kong</oasis:entry>
         <oasis:entry colname="col2">Winter,  2012</oasis:entry>
         <oasis:entry colname="col3">14.5</oasis:entry>
         <oasis:entry colname="col4">33</oasis:entry>
         <oasis:entry colname="col5">40</oasis:entry>
         <oasis:entry colname="col6">10</oasis:entry>
         <oasis:entry colname="col7">16</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">Y. J. Li et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hong Kong</oasis:entry>
         <oasis:entry colname="col2">Summer, 2011</oasis:entry>
         <oasis:entry colname="col3">8.7</oasis:entry>
         <oasis:entry colname="col4">26</oasis:entry>
         <oasis:entry colname="col5">56</oasis:entry>
         <oasis:entry colname="col6">3</oasis:entry>
         <oasis:entry colname="col7">15</oasis:entry>
         <oasis:entry colname="col8">0.1</oasis:entry>
         <oasis:entry colname="col9">Y. J. Li et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Paris</oasis:entry>
         <oasis:entry colname="col2">Winter, 2010</oasis:entry>
         <oasis:entry colname="col3">16.7</oasis:entry>
         <oasis:entry colname="col4">35</oasis:entry>
         <oasis:entry colname="col5">16</oasis:entry>
         <oasis:entry colname="col6">33</oasis:entry>
         <oasis:entry colname="col7">15</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">Crippa et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fresno, California</oasis:entry>
         <oasis:entry colname="col2">Winter,  2010</oasis:entry>
         <oasis:entry colname="col3">11.8</oasis:entry>
         <oasis:entry colname="col4">67</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">8</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">Ge et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shijiazhuang</oasis:entry>
         <oasis:entry colname="col2">Winter,  2014</oasis:entry>
         <oasis:entry colname="col3">178</oasis:entry>
         <oasis:entry colname="col4">50</oasis:entry>
         <oasis:entry colname="col5">21</oasis:entry>
         <oasis:entry colname="col6">12</oasis:entry>
         <oasis:entry colname="col7">11</oasis:entry>
         <oasis:entry colname="col8">6</oasis:entry>
         <oasis:entry colname="col9">This study</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1296"><inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> NR-PM<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></p></table-wrap-foot></table-wrap>

      <p id="d1e2169">Similar to measurements at other urban sites, OA was the dominant fraction of
NR-PM<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, with an average of 50 % (31 %–80 %), followed by 21 %
of sulfate (4 %–36 %), 12 % of nitrate (2 %–26 %), 11 % of
ammonium (4 %–21 %), and 6 % of chloride (2 %–20 %). The dominant
contribution of organics in NR-PM<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> is also consistent with measurements
from other urban sites in the BTH region during winter heating seasons (see
Table 1). Sulfate was the second largest contributor to NR-PM<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>. The
large fraction of sulfate was likely associated with the large consumption of
coal in Hebei Province, i.e., 296 million tons was used in
coal-fired power plants and steel industry (producing <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> % of global
steel output) in 2014. The enhancement of chloride fraction from <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> % to 4 % in other Chinese cities in summer (see Table 1) to 6 % in
Shijiazhuang in winter (within the range of <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> %–7 % in other Chinese
cities in winter, see Table 1) can be attributed to the substantial emissions
from coal and/or biomass burning activities.</p>
      <p id="d1e2231">Figure 2a shows the diurnal variations of NR-PM<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> components, which were
affected by the evolution of the planetary boundary layer (PBL) height that
governed the vertical dispersion of pollutants and by the diurnal cycle of
the emissions and atmospheric processes. The concentrations of pollutants
increased at night as a result of enhanced emissions from residential heating
(in particular, for organics and chloride) and a progressively shallower PBL.
During daytime the<?pagebreak page2287?> PBL height was developed by solar radiation; thus, the
pollutants became diluted resulting in the decrease of organics, sulfate,
ammonium, and chloride in the afternoon. In contrast, the concentrations of
nitrate increased after sunrise but then remained rather constant throughout the
afternoon, suggesting a strong source or production of nitrate which offsets
the dilution from PBL development. To minimize the effects of PBL heights,
data were normalized by <inline-formula><mml:math id="M91" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CO. CO is often used as an emission tracer
to account for dilution on timescales of hours to days because of its
relatively long lifetime against oxidation by OH radicals (approximately
1 month) (DeCarlo et al., 2010). After offsetting the PBL dilution effect,
sulfate, nitrate, and ammonium showed clear increases from 07:00 to 15:00 LT
(local time; Fig. 2c), indicating the efficient daytime production of these secondary
inorganic species. It should be noted that the increase of nitrate (about 2
times, from <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is
slightly larger than that of sulfate (about 1.6 times, from <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ppm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), indicating more efficient
photochemical production of nitrate than sulfate, given that the loss rate of
sulfate could not be higher than that of nitrate as nitric acid is
semi-volatile and may be further lost by evaporation. Furthermore, the continuous
increase of organics after sunrise suggested efficient photochemical
production of secondary organic aerosol (SOA).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e2349">Diurnal variations of NR-PM<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> composition <bold>(a)</bold>, OA sources <bold>(b)</bold>,
NR-PM<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>CO <bold>(c)</bold>, and OA sources<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>CO <bold>(d)</bold>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Sources of organic aerosol</title>
      <p id="d1e2415">From the PMF analysis, we first examined a range of solutions with three to
eight factors. The solution that best represents the data is the five-factor solution
(Fig. S1 in the Supplement). The solutions with factor numbers more than five
provide no new meaningful factors (see Fig. S2 and more details in the
Supplement).</p>
      <p id="d1e2418">Although the five-factor solution can reasonably represent the data, HOA is
still mixed with BBOA because the HOA profile contains a higher than expected
contribution from <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60. In addition, COA contains no signal at <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44,
which might indicate a suboptimal splitting between the contributing sources.
To better separate HOA from BBOA, we constrained the HOA profile from Ng et
al. (2011b), which is an average profile over 15 cities from China, Japan,
Europe, and the US. Although gasoline vehicles dominate in China
while diesel vehicles dominate in Europe, HOA mass spectra do not show
significant variability when compared to different sites in China and Europe
(Ng et al., 2011b; Reyes-Villegas et al., 2016; Bozzetti et al., 2017), indicating
that traffic emissions from different types of vehicles have similar
profiles. To avoid the influences of other sources on COA, the COA profile
from Paris (Crippa et al., 2013) was used as a constraint because high
similarities were found between the COA profile from Paris and four COA
profiles from<?pagebreak page2288?> different types of Chinese cooking activities (He et al., 2010;
Crippa et al., 2013). However, the constraint on HOA and COA profiles still
seems to sub-optimally resolve the apportionment of BBOA from CCOA, as one
unconstrained factor contains high contributions from both <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 and
PAH-related <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>'s (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 77, 91, and 115, as shown in Fig. S3) which
indicates the mixing between BBOA and CCOA. To separate BBOA and CCOA, we
constrained BBOA using the average of BBOA profiles from the five-factor
unconstrained PMF solutions.</p>
      <p id="d1e2481">To explore the solution space, an <inline-formula><mml:math id="M107" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> value of 0–0.5 with an interval of 0.1
was used to constrain both the HOA and COA reference profiles from literature
while BBOA was constrained with an <inline-formula><mml:math id="M108" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> value of 0 because the BBOA profile was
resolved from an unconstrained PMF solution which is not expected to vary
significantly. Thirty-six possible results were obtained by limiting the range of <inline-formula><mml:math id="M109" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
values. Three criteria for optimizing OA source appointment are as follows:
<list list-type="order"><list-item>
      <p id="d1e2507"><italic>The diurnal pattern of COA</italic>. The diurnal cycle of COA should have
higher concentrations during mealtimes.</p></list-item><list-item>
      <p id="d1e2513"><italic>Minimization of m/z 60 in HOA</italic>. The upper limit of <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 in the
HOA profile is 0.006, which is the maximal fractional contribution derived
from multiple ambient data sets in different regions (mean <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) (Ng
et al., 2011b).</p></list-item><list-item>
      <p id="d1e2543"><italic>The rationality of unconstrained factors</italic>. OOA should have
abundant signal at <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 and should contain much lower signals at PAH-related ion
peaks compared with CCOA.</p></list-item></list>
Nine solutions match the criteria above. Therefore, the final time series and mass
spectra are the averages of these nine solutions. The diurnal
variations of mass concentrations of the OA factors and their PBL-corrected
results are shown in Fig. 2b and d, respectively. The mass spectra and time
series of the OA factors and their correlation with external tracers are
shown in Fig. 3. The relative contributions of each OA source to the <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>'s
are shown in Fig. S4. Potential source contribution function (PSCF) analysis
was also performed and the result is shown in Fig. S5.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e2575">Mass spectrums (left) and time series (right) of five OA sources.
Error bars of the mass spectrums represent the standard deviation of each <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> over
all accepted solutions.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f03.png"/>

        </fig>

      <p id="d1e2597">OOA is characterized by high signals at <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 (<inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 43 (<inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">7</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and accounts for
85 % of <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 signal, which is much higher than other OA sources. The time series
of OOA is highly correlated with that of sulfate (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.70</mml:mn></mml:mrow></mml:math></inline-formula>), nitrate
(<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>), and ammonium (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn></mml:mrow></mml:math></inline-formula>), confirming the secondary nature
of this factor. The diurnal cycle of OOA shows an increase from<?pagebreak page2289?> 07:00 to
11:00 LT, followed by a decrease in the afternoon due to the PBL evolution
effect. After normalizing the PBL effect, OOA increased continuously from
07:00 to 15:00 LT, indicating the importance of photochemical oxidation. This
diurnal feature in combination with the PSCF results indicated that a large
fraction of OOA was produced locally and/or produced from the highly
populated and industrialized surrounding areas, consistent with the sulfate
production discussed below.</p>
      <p id="d1e2734">The mass spectrum of CCOA is featured by prominent contributions of
unsaturated hydrocarbons, particularly PAH-related ion peaks (e.g., 77, 91,
and 115). The CCOA profile shows a weaker signal at <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 than that
observed in Beijing (Hu et al., 2016a) and Lanzhou (Xu et al., 2016). This
difference can be caused by the difference in coal types, burning conditions,
and aging processes (Zhou et al., 2016). CCOA accounts for 42 %–66 % of
PAH-related ion peaks, much higher than those in other OA sources. This
result suggested that the major source of PAHs was coal combustion in
Shijiazhuang in wintertime. The campaign-averaged mass concentration of CCOA was
23.2 <inline-formula><mml:math id="M125" 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>, which is higher than that in Xi'an
(10.1 <inline-formula><mml:math id="M126" 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>) but is similar to that in Beijing
(23.5 <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>) observed in the same winter (Elser et al.,
2016a). Nevertheless, during haze extremes, the average CCOA concentration
was 77.5 <inline-formula><mml:math id="M128" 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 Shijiazhuang, much higher than that in
Beijing (48.2 <inline-formula><mml:math id="M129" 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>, Elser et al., 2016a). CCOA showed
distinct diurnal variations with low concentrations (down to 12.6 <inline-formula><mml:math id="M130" 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>) during the day and high concentrations (up to 37.6 <inline-formula><mml:math id="M131" 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>) at night, corresponding to 19 % and 35 % of OA, respectively.
The elevated CCOA concentrations at night suggested a large emission from
residential heating activities using coal as the fuel compounded by the
shallow PBL. The average contribution of CCOA to the total OA was 27 %,
which is consistent with studies in Beijing and Handan (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">160</mml:mn></mml:mrow></mml:math></inline-formula> km south
to Shijiazhuang) where CCOA was found to be the dominant primary OA (Elser et
al., 2016a; Sun et al., 2016; Li et al., 2017). Given this large fraction of
OA from coal combustion, mitigating residential coal combustion is
of significant importance for improving air quality in the BTH regions.</p>
      <p id="d1e2893">The BBOA mass spectrum is featured by prominent <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 (mainly
<inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and 73 (mainly <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>)
signals (He et al., 2010). These two ions (<inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) are fragments of anhydrous sugars produced from
the incomplete combustion and pyrolysis of cellulose and hemicelluloses
(Alfarra et al., 2007; Lanz et al., 2007; Mohr et al., 2009). Consistently,
BBOA accounts for 50 % of <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 and 56 % of <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 73, which is much higher than
those in other sources. In addition, BBOA accounts for 9 %–27 % of the
PAH-related <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>'s (i.e., <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 77, 91, and 115), which is lower than those in CCOA but
higher than those in other primary OA sources. This suggested that BBOA was
also an important PAH source in Shijiazhuang in wintertime. A high correlation
was found between the time series of BBOA and that of chloride
(<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>), the latter of which was suggested to be one of the tracers of
biomass burning. BBOA accounted for 17 % of OA  on average, which is higher
than those (9 %–12 %) observed in Beijing during wintertime heating
seasons (Elser et al., 2016a; Hu et al., 2016a; Sun et al., 2016). The higher
BBOA contribution in Shijiazhuang in wintertime is likely associated with the
widespread use of wood and crop<?pagebreak page2290?> residuals for heating and cooking in
Shijiazhuang and surrounding areas, as supported by the PSCF results
(Fig. S5).</p>
      <p id="d1e3064">The COA profile is characterized by a high <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula> ratio of 2.7, which is much
higher than that in non-cooking POA (0.6–1.1) but within the range of
2.2–2.8 in COA profiles reported by Mohr et al. (2012). COA shows a clear
diurnal cycle with distinct peaks at lunchtime (between 11:00 and 13:00 LT) and dinnertime (between 19:00 and 21:00 LT). A small peak was also
observed in the morning between 06:00 and 07:00 LT, consistent with
breakfast time. COA  accounted for 16 % of total OA on average with the
highest contribution of 24 % during dinnertime.</p>
      <p id="d1e3091">The HOA mass spectrum is dominated by hydrocarbon ion series of
<inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mo>]</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mo>]</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (Canagaratna et al., 2004; Mohr et
al., 2009). The diurnal variation of HOA is featured by a high concentration at
night, likely due to enhanced truck emissions (only allowed to drive on the road
between 23:00 and 06:00 LT) and a shallow PBL at night. Similar diurnal cycles
were found in Beijing and Xi'an in wintertime (Sun et al., 2016; Elser et al.,
2016a). HOA, on average, accounted for 13 % of total OA for the entire
observation period, which was higher than that in Beijing (9 %–10 %) but
lower than that in Xi'an (15 %) measured in the same winter (Elser et al.,
2016a; Sun et al., 2016).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Chemical nature and sources at different PM levels</title>
      <p id="d1e3160">Figure 4 shows the mass fractions of NR-PM<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species and OA sources on
reference days and extremely polluted days. Here, the days with a NR-PM<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
daily average mass concentration higher than the 75th percentile (i.e., <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">238</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M150" 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>) are denoted as extremely polluted days and
the rest of days are as designated as reference days. The average concentration of NR-PM<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
was 310 <inline-formula><mml:math id="M152" 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 extremely polluted days, about 2 times
higher than that during reference days (162 <inline-formula><mml:math id="M153" 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>). The
average concentration of secondary inorganic aerosol was 65 <inline-formula><mml:math id="M154" 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> (40 % of NR-PM<inline-formula><mml:math id="M155" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass) during reference days and increased
to 143 <inline-formula><mml:math id="M156" 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> (46 % of NR-PM<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass) during extremely
polluted days. Secondary organic aerosol also increased from 19 <inline-formula><mml:math id="M158" 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> (22 % of OA) during reference days to 40 <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 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>
(26 % of OA) during extremely polluted days. The enhanced mass
concentrations (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> times) of both secondary inorganic aerosol and
secondary organic aerosol during extremely pollution days suggested strong
secondary aerosol production during pollution events. Such enhancement was
likely confounded by stagnant weather conditions (e.g., average wind speed
of 0.9 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and a high RH of 69.4 % which facilitated the
production and accumulation of secondary aerosol. Note that it was already
very polluted during the reference days with an average NR-PM<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> concentration
of 162 <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 linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which may explain the relatively
small increase in the fractional contribution of secondary aerosol from reference
days to extremely polluted days.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p id="d1e3410">Relative contributions of NR-PM<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species and OA sources (OOA,
CCOA, BBOA, COA, and HOA) on reference days <bold>(a)</bold> and extremely polluted days <bold>(b)</bold>.
Extremely polluted days are defined as days with a NR-PM<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> daily average mass
concentration higher than the 75th percentile (237.3 <inline-formula><mml:math id="M166" 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 the remaining days are referred to the reference days. Data
collected during the Chinese Spring Festival are excluded to eliminate the influence of the change
in emission patterns during the holiday.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f04.png"/>

        </fig>

      <?pagebreak page2291?><p id="d1e3462"><?xmltex \hack{\newpage}?>Figure 5a and b show the factors driving the pollution events by binning the
fractional contribution of each chemical species and OA source to total
NR-PM<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and OA mass, respectively. The data clearly show that high
pollution events are characterized by an increasing secondary fraction,
reaching <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">55</mml:mn></mml:mrow></mml:math></inline-formula> % at the highest NR-PM<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass bin
(300–360 <inline-formula><mml:math id="M170" 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 particular, from the lowest NR-PM<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
bin to the highest NR-PM<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> bin, the fractional contribution increases
from 14 % to 25 % for sulfate in NR-PM<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and from 18 % to 25 %
for OOA in OA, demonstrating the importance of secondary aerosol formation in
driving particulate air pollution (Huang et al., 2014; Elser et al., 2016a;
Wang et al., 2017). To investigate the oxidation degree of sulfur at
different NR-PM<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass, the sulfur oxidation ratio (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) was
calculated according to Eq. (1):

                <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M176" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>F</mml:mi><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:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>n</mml:mi><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mi>n</mml:mi><mml:mo>[</mml:mo><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:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M177" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the molar concentration. As can be seen from Fig. 6,
<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> shows a clear increasing trend with NR-PM<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass,
climbing from 0.08 in the lowest mass bin to 0.21 in the highest mass bin.
However, the highest <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value is still much lower than that
reported in previous studies, e.g., 0.62 in Xi'an (Elser et al., 2016a),
suggesting a low atmospheric oxidative capacity during the measurement period
in Shijiazhuang. This may also explain the relatively low OOA fraction (see
Fig. 5b). Certainly, it should be noted that the mass concentration of
sulfate may also be affected by other parameters, including aerosol liquid
water content, aerosol, or cloud water pH, besides atmospheric oxidative
capacity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e3697">Relative contributions of NR-PM<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species <bold>(a)</bold> and OA sources <bold>(b)</bold>
as a function of the daily average NR-PM<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations. The numbers
above the bars refer to the OA mass concentration (<inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Data
collected during the Chinese Spring Festival are excluded to eliminate the influence of the change
in emission patterns during the holiday.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>Evolution of aerosol composition and sources at different RH
levels</title>
      <p id="d1e3755">Figure 7a and b show the mass concentrations of the NR-PM<inline-formula><mml:math id="M184" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species and
of the OA sources as a function of RH, with RH bins of 10 % increments. The
absolute mass concentrations of secondary inorganic species increased as RH
increased from 60 %, whereas chloride showed a decreasing trend. Among the OA
sources, OOA and HOA were enhanced with RH – increasing from <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> % to
90 % – whereas other OA sources did not show a clear trend. As RH increased
gradually with the decrease in wind speed (Fig. 6a), the development of
stagnant weather conditions (including a shallower PBL) promoted both the
accumulation of pollutants and the formation of secondary aerosol (Tie et
al., 2017). To minimize the effects of PBL variations, the NR-PM<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
species and OA fractions were normalized by the sum of the POA, as a
surrogate of secondary aerosol precursors. The resulting ratios were further
normalized by the values at the first RH bin (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) for better
visualization. As shown in Fig. 7c, when RH increased from 60 % to 100 %,
the normalized sulfate increased by a factor of <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula>, suggesting the
importance of aqueous-phase <inline-formula><mml:math id="M189" 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> oxidation in the formation of
sulfate at high RH. The enhancements for nitrate and ammonium were slightly
lower (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula>) compared to that of sulfate, because <inline-formula><mml:math id="M191" 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
thermally labile and its gas–particle partitioning is affected by both
temperature and RH. The importance of aqueous-phase chemistry is further
supported by the increase of <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as a function of RH (Fig. 6b).
At RH <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %, <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was rather constant, with an average of
0.09, indicating a low sulfur oxidation degree. At RH <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %,
<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> increased rapidly with the increase in RH, reaching a maximal
average of 0.18 at the last RH bin (90 %–100 %). Note that the sulfur
oxidation degree at high RH (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) was much lower compared with those
measured in Xi'an during the same winter (average <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> 0.62 at a
RH of 90 %–100 %, Elser et al., 2016a). The low sulfur oxidation degree
observed in Shijiazhuang (i.e., <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % of sulfur is still not oxidized)
indicated insufficient atmospheric processing and also suggested a large
fraction of pollutants in Shijiazhuang was likely emitted locally and/or
transported from the heavily populated and industrialized surrounding areas.
With a longer atmospheric processing time in the downwind region, e.g.,
Beijing, higher secondary aerosol fractions are expected, as observed in
previous studies (e.g., Huang et al., 2014). Similar to sulfate, the
normalized OOA increased by a factor of <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> when RH increased from
60 % to 100 % (Fig. 7d). The mass fraction of OOA increased from 29 %
to 41 % when RH increased from 70 % to 100 %, whereas POA contribution
decreased correspondingly from 71 % to 59 % (Fig. 6d). These results
support the above discussion that aqueous-phase chemistry also plays an
important role in the formation of OOA under high-RH conditions during haze
pollution episodes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e3957">Variations of wind speed as a function of RH <bold>(a)</bold>,
<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as a function of RH <bold>(b)</bold> and of the
NR-PM<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass concentrations <bold>(c)</bold>, and the mass fraction
of OA as a function of RH <bold>(d)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p id="d1e4005">The average mass concentration of NR-PM<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species <bold>(a)</bold> and OA
sources <bold>(b)</bold> as a function of RH. The average mass concentration of
NR-PM<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species <bold>(c)</bold> and OA sources <bold>(d)</bold> normalized to the sum of primary
sources (HOA, COA, BBOA, and CCOA) as a function of RH. All ratios are
further normalized to the values at the first RH bin (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) for better illustration.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS5">
  <title>Primary emissions versus secondary formation</title>
      <p id="d1e4062">Frequent changes between clean and polluted episodes were observed in this
study. To get a better insight into aerosol sources and atmospheric
processes, four clean periods (C1–C4) with a daily average NR-PM<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass concentration
lower than the 25th percentile, six high-RH (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> %) polluted
episodes (H1–H6), and four low-RH (<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) polluted episodes (L1–L4) with
daily average NR-PM<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass concentration higher than the 75th
percentile were selected for further analysis. As shown in Fig. 8, the
chemical composition and sources differed during different episodes. The
contributions of organics showed a decreasing trend, from 54 %–64 %
during C1–C4 to 49 %–58 % during L1–L4, and to 35 %–44 % during
H1–H6, while the corresponding contributions of secondary inorganic species
increased. This indicated a notable production and accumulation of secondary
inorganic aerosol during severe haze pollution events. For example, the mass
fraction of sulfate in NR-PM<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> was much higher during high-RH pollution
events (H1–H6, 27 %–30 %) compared to those during low-RH pollution
events (L1–L4, 11 %–18 %) and clean events (C1–C4, 11 %–17 %). OOA
also showed a much higher contribution to OA during high-RH pollution events
(H1–H6, 29 %–50 %) than during low-RH pollution events (L1–L3,
17 %–26 %) and clean events (C1–C4, 10 %–34 %). Interestingly, when
comparing high-RH and low-RH pollution events of similar PM levels (Fig. 8),
secondary inorganic species and OOA dominated the particulate pollution
during high-RH pollution events, which was likely due to enhanced secondary formation, similar
to previous studies (e.g., Wang et al., 2017), whereas POA dominated the
particulate pollution at low RH and under stagnant conditions. The
concentrations of POA are determined by both emissions and meteorological
conditions. The different significance of primary aerosol and secondary
aerosol in low- and high-RH pollution events highlights the importance of
meteorological conditions in driving particulate pollution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e4114">Summary of relative humidity and temperature, gaseous species,
organic sources, and NR-PM<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> chemical composition for high-RH (H1–H6)
polluted, low-RH (L1–L4) polluted, and clean (C1–C4) episodes.
</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f08.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><caption><p id="d1e4134">Time series of meteorological factors (relative humidity,
temperature, wind speed, and wind direction), gaseous species, OA factors, and
NR-PM<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> chemical composition for the first period (average RH <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %) <bold>(a)</bold> and the second period (average RH <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> %) <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/2283/2019/acp-19-2283-2019-f09.png"/>

        </fig>

      <?pagebreak page2294?><p id="d1e4179">Figure 9 shows the evolution of aerosol species in two cases with different RH
levels. The first case had an average RH <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> % from 20 to 24 January (C2 and
L3 episodes). The high wind speed (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from the
northwest before the L3 episode led to a significant reduction of air
pollutants (the C3 episode, a clean-up period). When the wind direction
switched from northwest to the 90–270<inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> sector and the wind speed
decreased to <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the measured pollutants (except
<inline-formula><mml:math id="M221" 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> which was reacted out by increasing NO emissions) started to
build up. Specifically, NR-PM<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> showed a dramatic increase by a factor of
19 over the first 11 h (from 20 January 16:00 to 21 January 03:00 LT) from
12 to 233 <inline-formula><mml:math id="M223" 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>. During this process POA contributed to an
average 69 % of NR-PM<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass. The other three processes were also
characterized by a rapid increase of NR-PM<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass (39–50 <inline-formula><mml:math id="M226" 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> h<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and a high contribution of POA, i.e., from 22 January
00:00–03:00, 22 January 16:00–20:00, and 23 January
12:00–19:00 LT. Such rapid increases in NR-PM<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass under low
RH were associated with stagnant weather conditions (e.g., low wind speed)
which promoted the accumulation of pollutants. The second case had an average RH
<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % from 5 to 8 February (H3 and H4 episodes). In this case, the wind
speed was low (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) throughout the 4-day period. Under
these very stagnant weather conditions, POA accumulated continuously (Fig. 9).
However, unlike from the low-RH case, the concentration of secondary
species also showed continuous increases in this high-RH case. The
enhancement of secondary aerosol formation was likely driven by aqueous-phase
chemistry at high-RH levels (Elser et al., 2016a; Wang et al., 2017) and the
accumulation of pollutants under stagnant weather conditions (Tie et al.,
2017) which further promoted the formation of secondary species.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e4398">The chemical nature, sources, and atmospheric processes of wintertime fine
particles in Shijiazhuang were investigated. The mass fractions of secondary
inorganic species and SOA increased with the increase of NR-PM<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass,
suggesting the importance of secondary formation in driving PM pollution.
However, the low sulfur oxidation degree and low OOA fraction indicated an
insufficient atmospheric oxidation capacity. Together with the diurnal
variations and PSCF results, these observations suggested that a large
fraction of pollutants in Shijiazhuang was most likely produced locally
and/or transported from the heavily populated and industrialized surrounding
areas without sufficient atmospheric aging. Two different regimes were found
to be responsible for the high PM pollution in Shijiazhuang. At low RH under
stagnant weather conditions, the accumulation of primary emissions was the
main culprit. In contrast, at high RH, the enhanced formation of secondary
aerosol through aqueous-phase chemistry was the main issue. To conclude, we
found that in this highly polluted city in North China, (1) secondary
formation is important in high-PM episodes, (2) primary emissions are still
important on an average basis, and (3) meteorological conditions play an
key role in pollutant accumulation and transformation. Thus, the findings
from this study suggest that (a) there are still opportunities for air
pollution mitigation by controlling direct emissions such as coal combustion,
and (b) control on precursors (e.g., <inline-formula><mml:math id="M233" 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="M234" 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
volatile organic compounds) for secondary formation, especially during high-PM episodes with
unfavorable meteorological conditions, can ease the situation substantially.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e4437">All data needed to evaluate the conclusions
presented in this study are present in the paper and the Supplement. Additional
data related to this paper are available upon request from the corresponding
author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4440">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-2283-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-2283-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e4449">RJH and JC designed the study. YW and RJH performed the measurements. RJH,
YW, CL, JD, QC, and YL analyzed and interpreted the data. RJH, YW, and JD wrote
the paper with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e4455">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4461">This research is supported by the National Science Foundation of China (grant nos. 91644219,
41877408, and 41675120), the National Key Research and Development Program of
China (grant no. 2017YFC0212701), and EPA-Ireland (AEROSOURCE,
2016-CCRP-MS-31).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: Jianping Huang
<?xmltex \hack{\newline}?> Reviewed by: two anonymous referees</p></ack><ref-list>
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    <!--<article-title-html>Primary emissions versus secondary formation of fine particulate matter in the most polluted city (Shijiazhuang) in North China</article-title-html>
<abstract-html><p>Particulate matter (PM) pollution is a severe environmental problem in the Beijing–Tianjin–Hebei (BTH) region in North
China. PM studies have been conducted extensively in Beijing, but the
chemical composition, sources, and atmospheric processes of PM are still
relatively less known in nearby Tianjin and Hebei. In this study, fine PM
in urban Shijiazhuang (the capital of Hebei Province) was characterized using
an Aerodyne quadrupole aerosol chemical speciation monitor (Q-ACSM) from
11 January to 18 February in 2014. The average mass concentration of
non-refractory submicron PM (diameter&thinsp; &lt; 1&thinsp;µm, NR-PM<sub>1</sub>) was
178±101&thinsp;µg m<sup>−3</sup>, and it was composed of 50&thinsp;% organic aerosol
(OA), 21&thinsp;% sulfate, 12&thinsp;% nitrate, 11&thinsp;% ammonium, and 6&thinsp;% chloride.
Using the multilinear engine (ME-2) receptor model, five OA sources were
identified and quantified, including hydrocarbon-like OA from vehicle
emissions (HOA, 13&thinsp;%), cooking OA (COA, 16&thinsp;%), biomass burning OA (BBOA,
17&thinsp;%), coal combustion OA (CCOA, 27&thinsp;%), and oxygenated OA (OOA, 27&thinsp;%).
We found that secondary formation contributed substantially to PM in episodic
events, whereas primary emissions were dominant (most significant) on average.
The episodic events with the highest NR-PM<sub>1</sub> mass range of
300–360&thinsp;µg m<sup>−3</sup> were comprised of 55&thinsp;% of secondary species. On the
contrary, a campaign-average low OOA fraction (27&thinsp;%) in OA indicated the
importance of primary emissions, and a low sulfur oxidation degree
(<i>F</i><sub>SO<sub>4</sub></sub>) of 0.18 even at RH&thinsp; &gt; 90&thinsp;% hinted at insufficient
oxidation. These results suggested that in Shijiazhuang in wintertime fine PM
was mostly from primary emissions without sufficient atmospheric aging,
indicating opportunities for air quality improvement by mitigating direct
emissions. In addition, secondary inorganic and organic (OOA) species
dominated in pollution events with high-RH conditions, most likely due to
enhanced aqueous-phase chemistry, whereas primary organic aerosol (POA)
dominated in pollution events with low-RH and stagnant conditions. These
results also highlighted the importance of meteorological conditions for PM
pollution in this highly polluted city in North China.</p></abstract-html>
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