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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-18-10741-2018</article-id><title-group><article-title>Molecular distributions of dicarboxylic acids, oxocarboxylic acids and
<inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls in PM<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> collected at the top of Mt. Tai, North
China, during the wheat burning season of 2014</article-title><alt-title>Molecular distributions of dicarboxylic acids, oxocarboxylic acids and
<inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls</alt-title>
      </title-group><?xmltex \runningtitle{Molecular distributions of dicarboxylic acids, oxocarboxylic acids and
$\alpha$-dicarbonyls}?><?xmltex \runningauthor{Y.~Zhu et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhu</surname><given-names>Yanhong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff7">
          <name><surname>Yang</surname><given-names>Lingxiao</given-names></name>
          <email>yanglingxiao@sdu.edu.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff6 aff7">
          <name><surname>Chen</surname><given-names>Jianmin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5859-3070</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff8">
          <name><surname>Kawamura</surname><given-names>Kimitaka</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1190-3726</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Sato</surname><given-names>Mamiko</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Tilgner</surname><given-names>Andreas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4021-4874</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>van Pinxteren</surname><given-names>Dominik</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff9">
          <name><surname>Chen</surname><given-names>Ying</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0319-4950</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xue</surname><given-names>Likun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Xinfeng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0911-7312</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Simpson</surname><given-names>Isobel J.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff2 aff1">
          <name><surname>Herrmann</surname><given-names>Hartmut</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7044-2101</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Blake</surname><given-names>Donald R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Wenxing</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Environment Research Institute, Shandong University, 250100 Jinan,
China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Environmental Science and Engineering, Shandong University,
Jinan 250100, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Low Temperature Science, Hokkaido University, Sapporo
060-0819, Japan</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Leibniz Institute for Tropospheric Research (TROPOS), 04318 Leipzig,
Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Chemistry, University of California at Irvine,
Irvine, CA, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Shanghai Key Laboratory of Atmospheric Particle Pollution and
Prevention (LAP3), Fudan Tyndall Centre,<?xmltex \hack{\break}?> Department of Environmental Science
and Engineering, Fudan University, Shanghai 200433, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Jiangsu Collaborative Innovation Center for Climate Change, China</institution>
        </aff>
        <aff id="aff8"><label>a</label><institution>now at: Chubu Institute of Advanced Studies, Chubu University,
Kasugai 487-8501, Japan</institution>
        </aff>
        <aff id="aff9"><label>b</label><institution>now at: Lancaster Environment Centre, Lancaster University,
Lancaster LA1 4YQ, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Lingxiao Yang (yanglingxiao@sdu.edu.cn)</corresp></author-notes><pub-date><day>27</day><month>July</month><year>2018</year></pub-date>
      
      <volume>18</volume>
      <issue>14</issue>
      <fpage>10741</fpage><lpage>10758</lpage>
      <history>
        <date date-type="received"><day>31</day><month>December</month><year>2017</year></date>
           <date date-type="rev-request"><day>25</day><month>January</month><year>2018</year></date>
           <date date-type="rev-recd"><day>10</day><month>July</month><year>2018</year></date>
           <date date-type="accepted"><day>11</day><month>July</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <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="d1e280">Fine particulate matter (PM<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) samples collected at Mount
(Mt.) Tai in the North China Plain during summer 2014 were analyzed for
dicarboxylic acids and related compounds (oxocarboxylic acids and <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls) (DCRCs). The total concentration of DCRCs was <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mn mathvariant="normal">1050</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">580</mml:mn></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mn mathvariant="normal">1040</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">490</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the day and night, respectively.
Although these concentrations were about 2 times lower than similar
measurements in 2006, the concentrations reported here were about 1–13 times
higher than previous measurements in other major cities in the world.
Molecular distributions of DCRCs revealed that oxalic acid (C<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) was the
dominant species (50 %), followed by succinic acid (C<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) (12 %)
and malonic acid (C<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) (8 %). WRF modeling revealed that Mt. Tai was
mostly in the free troposphere during the campaign and long-range transport
was a major factor governing the distributions of the measured compounds at
Mt. Tai. A majority of the samples (79 %) had comparable concentrations
during the day and night, with their day–night concentration ratios between
0.9 and 1.1. Multi-day transport was considered an important reason for the
similar concentrations. Correlation analyses of DCRCs and their gas
precursors and between C<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and sulfate indicated precursor emissions and
aqueous-phase oxidations during long-range transport also likely play an
important role, especially during the night. Source identification indicated
that anthropogenic activities followed by photochemical aging accounted for
about 60 % of the total variance and were the dominant source at Mt. Tai.
However, biomass burning was only important during the first half of the
measurement period. Measurements of potassium (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and DCRCs were about
2 times higher than those from the second half of the measurement period. The
concentration of levoglucosan, a biomass burning tracer, decreased by about
80 % between 2006 and 2014, indicating that biomass burning may have
decreased between 2006 and 2014.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<?pagebreak page10742?><sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e392">Fine particulate matter (PM<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) is an atmospheric pollutant of
particular concern due to its contribution to visibility degradation (Ghim et
al., 2005; Watson, 2002), exacerbation of respiratory diseases (Davidson et
al., 2005) and modification of climate (Sloane et al., 1991). In recent
years, haze frequently occurred in China and has received increasing
attention due to its serious impact on air quality and human health (Mu and
Zhang, 2013; Guo et al., 2014; Wang et al., 2014). Previous studies have
demonstrated that PM<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is a major pollutant causing haze, particularly
its secondary components (Huang et al., 2014). Dicarboxylic acids and related
compounds (oxocarboxylic acids and <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls) (DCRCs) are
important constituents in PM<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, and mainly produced by secondary
processes (Kawamura and Yasui, 2005; Pavuluri et al., 2010a). Due to their
high water solubility, DCRCs contribute to the water-soluble organic fraction
of 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>, which can have an impact on air quality (van Pinxteren et al.,
2009; Kawamura and Bikkina, 2016; Kundu et al., 2010b). Therefore, it is
necessary to study the DCRC characteristics in PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e448">The North China Plain (NCP) is one of the most heavily polluted regions in
China, and possibly in the world (Ohara et al., 2007). The region is
characterized by high loading of DCRCs due to its high emissions of primary
(such as fossil fuel and biomass combustion) and secondary (atmospheric
oxidations of biogenic and anthropogenic volatile organic compounds (VOCs))
sources of DCRCs (Kundu et al., 2010a; Mkoma et al., 2013). A previous study
has reported that the NCP is an important coal consumer (Xu, 2001). In
addition, the NCP is one of the most productive agricultural regions in
China, and agricultural waste burning occurs frequently during the harvest
seasons. Although some management strategies have been implemented by the
Chinese government, such as lawful punishment or punishment by a fine,
biomass burning still occurs during the harvest seasons (Zhu et al., 2017).
Moreover, the NCP is also one of the highest VOC emission regions in China
(Zhang et al., 2009). In order to comprehensively understand the atmospheric
formation and processing of DCRCs in the NCP, knowledge of their
characteristics over remote background areas is necessary. Moreover,
understanding aerosol pollution characteristics over remote background
regions is central to identifying source regions and the impact of long-range
transport.</p>
      <p id="d1e451">In this study, PM<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples were collected at the top of Mount Tai
(Mt. Tai) in the NCP during the wheat burning season. As the highest mountain
in the NCP, Mt. Tai provides an ideal site to investigate long-range
transport. There are many tourists at Mt. Tai in summer, so there are some
local emissions from small restaurants and temples (Gao et al., 2005).
Furthermore, 80 % of Mt. Tai is covered by vegetation (mostly bushes).
Moreover, it should be noted that mountain areas, with parallel ridges or
isolated ridges and peaks, are different from the plain in terms of geometric
structures. This has implications for modifying the ambient air flow by this
complex terrain, which leads to complexity of the mountain boundary layer
structure (Smith et al., 2002). Naturally, the boundary layer structure plays
important roles in the transport and dispersal of atmospheric pollutants
during long-range transport (Garratt, 1994).</p>
      <p id="d1e463">The objectives of this study were (1) to identify the impact of long-range
transport by WRF modeling and back-trajectory analysis, (2) to investigate
the measured concentrations and compositional trends of DCRCs, (3) to compare
our measurements with previous studies at Mt. Tai and other locations, (4) to
study the diurnal trend of the compounds, (5) to characterize the biomass
burning impact on temporal variations of DCRCs, and (6) to identify potential
sources of DCRCs using principal component analysis (PCA).</p>
</sec>
<sec id="Ch1.S2">
  <title>Experimental methods</title>
      <p id="d1e472">In our previous publication (Zhu et al., 2017), we described the
meteorological conditions, sampling site, PM<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sampling, VOC sampling
and analysis from 4 June to 4 July 2014 at Mt. Tai. Therefore, in this study
we describe these experimental methods only briefly.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e486">Summary of meteorological data during the sampling period at
Mt. Tai. The left <inline-formula><mml:math id="M22" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis is for wind speed and temperature, whereas the
right <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> axis (0–360) shows wind direction (degrees) and relative
humidity. The right <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> axis (830–890) shows pressure.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f01.png"/>

      </fig>

<sec id="Ch1.S2.SS1">
  <?xmltex \opttitle{Sampling site for PM${}_{{2.5}}$}?><title>Sampling site for PM<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p id="d1e536">PM<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sampling was conducted at the top of Mt. Tai (36.25<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
117.10<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E;
<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1532.7</mml:mn></mml:mrow></mml:math></inline-formula> m a.s.l.). Mt. Tai is located in Shandong province in the NCP
in a deciduous forest zone and is surrounded by urban and industrialized
regions (Gao et al., 2005; Richter et al., 2005). The meteorological data
during the sampling period are summarized in Fig. 1. The ambient temperatures
covered a range of 10–25 <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with an average of 17 <inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.
Relative humidity (RH) varied between 58 and 100 % with an average of
87 %. Winds generally came from the northwest, and wind speeds ranged
from 1 to 7 m s<inline-formula><mml:math id="M32" 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>. Weather conditions during the campaign were mostly
cloudy and occasionally foggy. Minor rain events occurred on 15 and 16 June
and 3 July, and major rain events occurred on 24 June and 4 July. The sample
collection was ended just before the major rain.</p>
      <?pagebreak page10743?><p id="d1e607">The PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sampler was placed at the Air Force Hotel in the Houshiwu
area. The region is not typically frequented by tourists and is not near any
temples. Using a TH-16A Intelligent PM<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> sampler (Wuhan Tianhong
Corporation, China) and quartz fiber filters, PM<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was sampled at
100 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>. In order to identify the impact of atmospheric chemistry
processes on DCRCs, PM<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples were collected during the day and
night, respectively, from 4 June to 4 July 2014. The time of sunrise and
sunset in June at Mt. Tai was around 06:00 and 18:00, respectively.
Therefore, 06:00–18:00 and 18:00–06:00 local time have been selected as the
sampling times for day and night, respectively. Before each sample, the
filters were pre-heated at 600 <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 4 h. Blank samples were
collected between 06:00–18:00 and 18:00–06:00 local time from 5 to
7 July 2014, and their sampling manner was similar to the real samples, but
without pumping. After the samples were collected, loaded filters and blank
samples were stored in plastic petri dishes and transported to the
laboratory, where they were stored at <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>VOC sampling</title>
      <p id="d1e693">VOC samples were collected by stainless steel canisters from 4 June to
4 July 2014. They were instantaneously sampled and the sampling times were
8:00, 14:00 and 0:00. A total of 70 VOC samples were collected. After
sampling, the canisters were shipped to the University of California, Irvine,
for further analysis. VOC samples were identified and quantified by gas
chromatography equipped with electron capture detection (ECD), flame
ionization detection (FID) and mass spectrometer detection (MSD). Detailed
descriptions of the chemical analysis have been presented in Blake et
al. (1994) and Simpson et al. (2010).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <title>WRF model</title>
      <p id="d1e703">The boundary layer heights (BLHs) around Mt. Tai during the campaign were
calculated using a Weather Research and Forecasting (WRF V3.5.1) model
(Skamarock et al., 2005; Wang et al., 2007). In this study, the Yonsei
University (YSU) boundary layer scheme (Hong et al., 2006) was used. In the
YSU scheme, the boundary layer approaches its top when the critical bulk
Richardson number is zero (Hong et al., 2006). The YSU scheme simulates deep
vertical mixing accurately in buoyancy-driven BLHs (Hong et al., 2006), and
reasonably captures the diurnal cycle of BLHs and thermodynamic vertical
structure of the atmosphere (Hu et al., 2010). The daytime boundary layer
structure is well represented by the WRF model with the YSU BLH scheme (Hu et
al., 2013). Previous studies also reported that the WRF model can capture the
boundary layer structure and local circulation over the NCP mountainous
region during summer (Chen et al., 2009), and well captures the vertical
structure of potential temperature (Hu et al., 2014). Although the model may
have lower confidence for the night BLH estimation (Hu et al., 2013), the
larger uncertainty at night would not significantly influence our analysis
and conclusions because the nighttime boundary layer was always lower than
the measurement site. More details of the model configurations were given in
Chen et al. (2016).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e708">Three-day back-trajectories for Mt. Tai during the study period
(since cluster 2 was covered by cluster 3, the width of cluster 2 has been
increased).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <title>Analytical procedures</title>
      <p id="d1e723">Aliquots of filter samples were extracted by Milli <inline-formula><mml:math id="M41" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> water under
ultrasonications. The extracts were concentrated by a rotary evaporator. The
concentrates were reacted with 14 % BF<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>-butanol to convert to
dibutyl esters and butoxy acetals. The derivatives were dissolved in
<inline-formula><mml:math id="M43" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>-hexane and analyzed by an Agilent 6890 gas chromatograph (GC) installed
with a split/splitless injector, fused silica capillary column (HP-5,
<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">mm</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, film thickness 0.5 <inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) and a
flame ionization detector (FID). Identification of each compound was based on
a comparison of retention times of GC peaks with those of authentic standards
and confirmed<?pagebreak page10744?> by GC/mass spectrometry. Detection limits of the measured
chemical species were 0.05 to 0.1 ng m<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which were calculated on the
basis of minimum areas. Recoveries were 85 % for oxalic acid (C<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>),
90 % for malonic acid (C<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and more than 90 % for succinic
(C<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>), glutaric (C<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>) and adipic (C<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>) acids. Although field
blanks revealed peaks of C<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and phthalic acid (Ph), the concentrations
were below 5 % of the real sample concentrations. The data reported in
this study have been corrected for the field blanks. The analytical errors
based on duplicate analysis were below 10 %. Overall uncertainties for
DCRC species were about 15 % (see Boreddy et al., 2017, for details). A
more detailed description of the analytical method was given in previous
reports (Kawamura and Ikushima, 1993; Hegde and Kawamura, 2012).</p>
      <p id="d1e847">Additionally, organic carbon (OC) and elemental carbon (EC) were detected by
a Sunset Laboratory carbon analyzer with the thermal–optical transmittance
method. Detailed descriptions of this methodology have been presented in Cui
et al. (2016). Water-soluble ions were analyzed by an ion chromatography
system (ICs-90, Dionex Corporation, USA). Analyses of the ionic components
were presented in Zhu et al. (2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e852">Boundary layer height in the Mt. Tai area during a selected sampling
period modeled with the WRF model (red square: DCRC concentration; green
line: height of sampling site).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS5">
  <title>Back-trajectory analysis</title>
      <p id="d1e867">The 72 h
back-trajectories were calculated using the Hybrid Single-Particle Lagrangian
Integrated Trajectory model (HYSPLIT, version 4.9) (Draxler and Rolph, 2003)
and Global Data Assimilation System (GDAS) meteorological data from the NOAA
Air Resources Laboratory's web server. Three-dimensional (latitude, longitude
and height) back-trajectories were computed every 1 h from 4 June to
4 July 2014; 744 trajectories were obtained and classified into four
different groups. Yuan et al. (2014) have given detailed descriptions of
cluster analysis.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p id="d1e873">Measured concentrations of DCRCs, PM<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, OC and EC at the top
of Mt. Tai from 4 June to 4 July 2014.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <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="right" colsep="1"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center" colsep="1">Day (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col9" align="center" colsep="1">Night (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry rowsep="1" colname="col10">Day–night ratio</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Components, abbreviation</oasis:entry>
         <oasis:entry colname="col2">Min.<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Max.<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Mean</oasis:entry>
         <oasis:entry colname="col5">SD <inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Min.</oasis:entry>
         <oasis:entry colname="col7">Max.</oasis:entry>
         <oasis:entry colname="col8">Mean</oasis:entry>
         <oasis:entry colname="col9">SD</oasis:entry>
         <oasis:entry colname="col10">Mean</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col10">(I) Dicarboxylic acids (ng m<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oxalic, C<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">122</oasis:entry>
         <oasis:entry colname="col3">1790</oasis:entry>
         <oasis:entry colname="col4">512</oasis:entry>
         <oasis:entry colname="col5">304</oasis:entry>
         <oasis:entry colname="col6">151</oasis:entry>
         <oasis:entry colname="col7">1280</oasis:entry>
         <oasis:entry colname="col8">534</oasis:entry>
         <oasis:entry colname="col9">272</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Malonic, C<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">23.7</oasis:entry>
         <oasis:entry colname="col3">195</oasis:entry>
         <oasis:entry colname="col4">86.2</oasis:entry>
         <oasis:entry colname="col5">33.8</oasis:entry>
         <oasis:entry colname="col6">17.9</oasis:entry>
         <oasis:entry colname="col7">141</oasis:entry>
         <oasis:entry colname="col8">77.4</oasis:entry>
         <oasis:entry colname="col9">32.6</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Succinic, C<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">25.8</oasis:entry>
         <oasis:entry colname="col3">485</oasis:entry>
         <oasis:entry colname="col4">126</oasis:entry>
         <oasis:entry colname="col5">81.1</oasis:entry>
         <oasis:entry colname="col6">62.3</oasis:entry>
         <oasis:entry colname="col7">227</oasis:entry>
         <oasis:entry colname="col8">121</oasis:entry>
         <oasis:entry colname="col9">53.7</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glutaric, C<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">6.9</oasis:entry>
         <oasis:entry colname="col3">99.3</oasis:entry>
         <oasis:entry colname="col4">26.3</oasis:entry>
         <oasis:entry colname="col5">15.9</oasis:entry>
         <oasis:entry colname="col6">10.5</oasis:entry>
         <oasis:entry colname="col7">53.7</oasis:entry>
         <oasis:entry colname="col8">24.9</oasis:entry>
         <oasis:entry colname="col9">11.3</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Adipic, C<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">4.7</oasis:entry>
         <oasis:entry colname="col3">46.4</oasis:entry>
         <oasis:entry colname="col4">12.6</oasis:entry>
         <oasis:entry colname="col5">7.5</oasis:entry>
         <oasis:entry colname="col6">4.0</oasis:entry>
         <oasis:entry colname="col7">31.8</oasis:entry>
         <oasis:entry colname="col8">12.7</oasis:entry>
         <oasis:entry colname="col9">7.5</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pimelic, C<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.7</oasis:entry>
         <oasis:entry colname="col3">22.6</oasis:entry>
         <oasis:entry colname="col4">4.2</oasis:entry>
         <oasis:entry colname="col5">4.3</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">19.1</oasis:entry>
         <oasis:entry colname="col8">4.4</oasis:entry>
         <oasis:entry colname="col9">4.1</oasis:entry>
         <oasis:entry colname="col10">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Suberic, C<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2.9</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">0.7</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">1.9</oasis:entry>
         <oasis:entry colname="col8">0.4</oasis:entry>
         <oasis:entry colname="col9">0.5</oasis:entry>
         <oasis:entry colname="col10">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Azelaic, C<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.4</oasis:entry>
         <oasis:entry colname="col3">95.1</oasis:entry>
         <oasis:entry colname="col4">16.2</oasis:entry>
         <oasis:entry colname="col5">20.6</oasis:entry>
         <oasis:entry colname="col6">2.3</oasis:entry>
         <oasis:entry colname="col7">68.1</oasis:entry>
         <oasis:entry colname="col8">19.4</oasis:entry>
         <oasis:entry colname="col9">17.6</oasis:entry>
         <oasis:entry colname="col10">0.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sebabic, C<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">8.9</oasis:entry>
         <oasis:entry colname="col4">1.2</oasis:entry>
         <oasis:entry colname="col5">2.1</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">13.2</oasis:entry>
         <oasis:entry colname="col8">1.8</oasis:entry>
         <oasis:entry colname="col9">3.0</oasis:entry>
         <oasis:entry colname="col10">0.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Undecanedioic, C<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">6.0</oasis:entry>
         <oasis:entry colname="col4">1.7</oasis:entry>
         <oasis:entry colname="col5">1.9</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">7.6</oasis:entry>
         <oasis:entry colname="col8">1.7</oasis:entry>
         <oasis:entry colname="col9">2.0</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Dodecanedioc, C<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">1.3</oasis:entry>
         <oasis:entry colname="col4">0.2</oasis:entry>
         <oasis:entry colname="col5">0.3</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">1.8</oasis:entry>
         <oasis:entry colname="col8">0.3</oasis:entry>
         <oasis:entry colname="col9">0.5</oasis:entry>
         <oasis:entry colname="col10">0.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Methylmalonic, <inline-formula><mml:math id="M76" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">7.9</oasis:entry>
         <oasis:entry colname="col4">3.4</oasis:entry>
         <oasis:entry colname="col5">1.6</oasis:entry>
         <oasis:entry colname="col6">0.7</oasis:entry>
         <oasis:entry colname="col7">7.6</oasis:entry>
         <oasis:entry colname="col8">3.3</oasis:entry>
         <oasis:entry colname="col9">1.5</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Methylsuccinic, <inline-formula><mml:math id="M78" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.9</oasis:entry>
         <oasis:entry colname="col3">32.7</oasis:entry>
         <oasis:entry colname="col4">8.0</oasis:entry>
         <oasis:entry colname="col5">5.5</oasis:entry>
         <oasis:entry colname="col6">3.0</oasis:entry>
         <oasis:entry colname="col7">18.3</oasis:entry>
         <oasis:entry colname="col8">8.0</oasis:entry>
         <oasis:entry colname="col9">4.5</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2-methylglutaric, <inline-formula><mml:math id="M80" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">6.8</oasis:entry>
         <oasis:entry colname="col4">1.8</oasis:entry>
         <oasis:entry colname="col5">1.2</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">4.2</oasis:entry>
         <oasis:entry colname="col8">1.6</oasis:entry>
         <oasis:entry colname="col9">1.1</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Maleic, <inline-formula><mml:math id="M82" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">25.7</oasis:entry>
         <oasis:entry colname="col4">7.4</oasis:entry>
         <oasis:entry colname="col5">7.2</oasis:entry>
         <oasis:entry colname="col6">2.2</oasis:entry>
         <oasis:entry colname="col7">23.7</oasis:entry>
         <oasis:entry colname="col8">6.6</oasis:entry>
         <oasis:entry colname="col9">5.0</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fumaric, <inline-formula><mml:math id="M83" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">15.1</oasis:entry>
         <oasis:entry colname="col4">3.9</oasis:entry>
         <oasis:entry colname="col5">2.7</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">7.1</oasis:entry>
         <oasis:entry colname="col8">3.2</oasis:entry>
         <oasis:entry colname="col9">1.9</oasis:entry>
         <oasis:entry colname="col10">1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Methylmaleic, mM</oasis:entry>
         <oasis:entry colname="col2">1.3</oasis:entry>
         <oasis:entry colname="col3">13.1</oasis:entry>
         <oasis:entry colname="col4">3.5</oasis:entry>
         <oasis:entry colname="col5">2.5</oasis:entry>
         <oasis:entry colname="col6">1.1</oasis:entry>
         <oasis:entry colname="col7">6.4</oasis:entry>
         <oasis:entry colname="col8">2.9</oasis:entry>
         <oasis:entry colname="col9">1.4</oasis:entry>
         <oasis:entry colname="col10">1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Malic, <inline-formula><mml:math id="M84" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.2</oasis:entry>
         <oasis:entry colname="col3">5.2</oasis:entry>
         <oasis:entry colname="col4">1.2</oasis:entry>
         <oasis:entry colname="col5">1.0</oasis:entry>
         <oasis:entry colname="col6">0.3</oasis:entry>
         <oasis:entry colname="col7">3.3</oasis:entry>
         <oasis:entry colname="col8">1.4</oasis:entry>
         <oasis:entry colname="col9">0.8</oasis:entry>
         <oasis:entry colname="col10">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Phthalic, Ph</oasis:entry>
         <oasis:entry colname="col2">19.3</oasis:entry>
         <oasis:entry colname="col3">99.4</oasis:entry>
         <oasis:entry colname="col4">36.8</oasis:entry>
         <oasis:entry colname="col5">16.1</oasis:entry>
         <oasis:entry colname="col6">16.3</oasis:entry>
         <oasis:entry colname="col7">53.9</oasis:entry>
         <oasis:entry colname="col8">29.3</oasis:entry>
         <oasis:entry colname="col9">10.2</oasis:entry>
         <oasis:entry colname="col10">1.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Isophthalic, <inline-formula><mml:math id="M86" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>Ph</oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">13.8</oasis:entry>
         <oasis:entry colname="col4">1.8</oasis:entry>
         <oasis:entry colname="col5">2.6</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">9.1</oasis:entry>
         <oasis:entry colname="col8">1.6</oasis:entry>
         <oasis:entry colname="col9">2.2</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Terephthalic, <inline-formula><mml:math id="M87" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph</oasis:entry>
         <oasis:entry colname="col2">0.9</oasis:entry>
         <oasis:entry colname="col3">130</oasis:entry>
         <oasis:entry colname="col4">13.6</oasis:entry>
         <oasis:entry colname="col5">24.9</oasis:entry>
         <oasis:entry colname="col6">0.6</oasis:entry>
         <oasis:entry colname="col7">155</oasis:entry>
         <oasis:entry colname="col8">12.9</oasis:entry>
         <oasis:entry colname="col9">32.2</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oxomalonic, <inline-formula><mml:math id="M88" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.7</oasis:entry>
         <oasis:entry colname="col3">31.5</oasis:entry>
         <oasis:entry colname="col4">12.6</oasis:entry>
         <oasis:entry colname="col5">7.0</oasis:entry>
         <oasis:entry colname="col6">2.1</oasis:entry>
         <oasis:entry colname="col7">29.5</oasis:entry>
         <oasis:entry colname="col8">11.3</oasis:entry>
         <oasis:entry colname="col9">6.8</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">4-oxopimelic, <inline-formula><mml:math id="M90" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.9</oasis:entry>
         <oasis:entry colname="col3">29.3</oasis:entry>
         <oasis:entry colname="col4">11.6</oasis:entry>
         <oasis:entry colname="col5">6.6</oasis:entry>
         <oasis:entry colname="col6">2.1</oasis:entry>
         <oasis:entry colname="col7">27.8</oasis:entry>
         <oasis:entry colname="col8">11.6</oasis:entry>
         <oasis:entry colname="col9">5.7</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Subtotal</oasis:entry>
         <oasis:entry colname="col2">239</oasis:entry>
         <oasis:entry colname="col3">2950</oasis:entry>
         <oasis:entry colname="col4">893</oasis:entry>
         <oasis:entry colname="col5">479</oasis:entry>
         <oasis:entry colname="col6">358</oasis:entry>
         <oasis:entry colname="col7">1970</oasis:entry>
         <oasis:entry colname="col8">892</oasis:entry>
         <oasis:entry colname="col9">402</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col10">(II) Oxocarboxylic acids (ng m<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pyruvic, Pyr</oasis:entry>
         <oasis:entry colname="col2">6.3</oasis:entry>
         <oasis:entry colname="col3">124</oasis:entry>
         <oasis:entry colname="col4">23.6</oasis:entry>
         <oasis:entry colname="col5">22.9</oasis:entry>
         <oasis:entry colname="col6">7.1</oasis:entry>
         <oasis:entry colname="col7">54.8</oasis:entry>
         <oasis:entry colname="col8">19.7</oasis:entry>
         <oasis:entry colname="col9">11.0</oasis:entry>
         <oasis:entry colname="col10">1.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glyoxylic, <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">8.8</oasis:entry>
         <oasis:entry colname="col3">241</oasis:entry>
         <oasis:entry colname="col4">54.7</oasis:entry>
         <oasis:entry colname="col5">45.2</oasis:entry>
         <oasis:entry colname="col6">11.9</oasis:entry>
         <oasis:entry colname="col7">166</oasis:entry>
         <oasis:entry colname="col8">55.9</oasis:entry>
         <oasis:entry colname="col9">41.4</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3-oxopropanoic, <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.0</oasis:entry>
         <oasis:entry colname="col3">24.3</oasis:entry>
         <oasis:entry colname="col4">8.9</oasis:entry>
         <oasis:entry colname="col5">5.0</oasis:entry>
         <oasis:entry colname="col6">1.6</oasis:entry>
         <oasis:entry colname="col7">24.6</oasis:entry>
         <oasis:entry colname="col8">8.3</oasis:entry>
         <oasis:entry colname="col9">4.9</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4-oxobutanoic, <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">5.5</oasis:entry>
         <oasis:entry colname="col3">52.4</oasis:entry>
         <oasis:entry colname="col4">16.0</oasis:entry>
         <oasis:entry colname="col5">10.1</oasis:entry>
         <oasis:entry colname="col6">5.5</oasis:entry>
         <oasis:entry colname="col7">54.2</oasis:entry>
         <oasis:entry colname="col8">15.3</oasis:entry>
         <oasis:entry colname="col9">10.6</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5-oxopentanoic, <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">12.2</oasis:entry>
         <oasis:entry colname="col4">3.8</oasis:entry>
         <oasis:entry colname="col5">2.2</oasis:entry>
         <oasis:entry colname="col6">1.3</oasis:entry>
         <oasis:entry colname="col7">10.7</oasis:entry>
         <oasis:entry colname="col8">3.5</oasis:entry>
         <oasis:entry colname="col9">2.1</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7-oxoheptanoic, <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.1</oasis:entry>
         <oasis:entry colname="col3">17.8</oasis:entry>
         <oasis:entry colname="col4">7.3</oasis:entry>
         <oasis:entry colname="col5">3.3</oasis:entry>
         <oasis:entry colname="col6">1.9</oasis:entry>
         <oasis:entry colname="col7">13.7</oasis:entry>
         <oasis:entry colname="col8">6.7</oasis:entry>
         <oasis:entry colname="col9">3.0</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8-oxooctanoic, <inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.1</oasis:entry>
         <oasis:entry colname="col3">29.9</oasis:entry>
         <oasis:entry colname="col4">9.4</oasis:entry>
         <oasis:entry colname="col5">5.7</oasis:entry>
         <oasis:entry colname="col6">0.9</oasis:entry>
         <oasis:entry colname="col7">18.3</oasis:entry>
         <oasis:entry colname="col8">8.8</oasis:entry>
         <oasis:entry colname="col9">4.4</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">9-oxononanoic, <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">10.8</oasis:entry>
         <oasis:entry colname="col4">3.9</oasis:entry>
         <oasis:entry colname="col5">3.0</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">13.2</oasis:entry>
         <oasis:entry colname="col8">3.6</oasis:entry>
         <oasis:entry colname="col9">3.7</oasis:entry>
         <oasis:entry colname="col10">1.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Subtotal</oasis:entry>
         <oasis:entry colname="col2">26.9</oasis:entry>
         <oasis:entry colname="col3">496</oasis:entry>
         <oasis:entry colname="col4">128</oasis:entry>
         <oasis:entry colname="col5">88.9</oasis:entry>
         <oasis:entry colname="col6">49.0</oasis:entry>
         <oasis:entry colname="col7">344</oasis:entry>
         <oasis:entry colname="col8">122</oasis:entry>
         <oasis:entry colname="col9">73.6</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col10">(III) <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls (ng m<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glyoxal, Gly</oasis:entry>
         <oasis:entry colname="col2">1.8</oasis:entry>
         <oasis:entry colname="col3">59.6</oasis:entry>
         <oasis:entry colname="col4">12.3</oasis:entry>
         <oasis:entry colname="col5">10.3</oasis:entry>
         <oasis:entry colname="col6">3.2</oasis:entry>
         <oasis:entry colname="col7">39.3</oasis:entry>
         <oasis:entry colname="col8">12.3</oasis:entry>
         <oasis:entry colname="col9">9.7</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Methylglyoxal, MGly</oasis:entry>
         <oasis:entry colname="col2">BDL</oasis:entry>
         <oasis:entry colname="col3">45.2</oasis:entry>
         <oasis:entry colname="col4">12.1</oasis:entry>
         <oasis:entry colname="col5">11.2</oasis:entry>
         <oasis:entry colname="col6">BDL</oasis:entry>
         <oasis:entry colname="col7">59.9</oasis:entry>
         <oasis:entry colname="col8">13.6</oasis:entry>
         <oasis:entry colname="col9">13.1</oasis:entry>
         <oasis:entry colname="col10">0.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Subtotal</oasis:entry>
         <oasis:entry colname="col2">5.1</oasis:entry>
         <oasis:entry colname="col3">105</oasis:entry>
         <oasis:entry colname="col4">24.4</oasis:entry>
         <oasis:entry colname="col5">20.5</oasis:entry>
         <oasis:entry colname="col6">8.0</oasis:entry>
         <oasis:entry colname="col7">94.9</oasis:entry>
         <oasis:entry colname="col8">25.9</oasis:entry>
         <oasis:entry colname="col9">21.6</oasis:entry>
         <oasis:entry colname="col10">0.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Total (all detected organics)</oasis:entry>
         <oasis:entry colname="col2">271</oasis:entry>
         <oasis:entry colname="col3">3550</oasis:entry>
         <oasis:entry colname="col4">1050</oasis:entry>
         <oasis:entry colname="col5">580</oasis:entry>
         <oasis:entry colname="col6">429</oasis:entry>
         <oasis:entry colname="col7">2380</oasis:entry>
         <oasis:entry colname="col8">1040</oasis:entry>
         <oasis:entry colname="col9">490</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col10">(IV) Carbonaceous aerosols (<inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PM<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">37.0</oasis:entry>
         <oasis:entry colname="col3">193</oasis:entry>
         <oasis:entry colname="col4">98.2</oasis:entry>
         <oasis:entry colname="col5">29.2</oasis:entry>
         <oasis:entry colname="col6">55.7</oasis:entry>
         <oasis:entry colname="col7">143</oasis:entry>
         <oasis:entry colname="col8">98.6</oasis:entry>
         <oasis:entry colname="col9">25.3</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OC</oasis:entry>
         <oasis:entry colname="col2">4.4</oasis:entry>
         <oasis:entry colname="col3">30.7</oasis:entry>
         <oasis:entry colname="col4">11.6</oasis:entry>
         <oasis:entry colname="col5">5.8</oasis:entry>
         <oasis:entry colname="col6">4.0</oasis:entry>
         <oasis:entry colname="col7">32.9</oasis:entry>
         <oasis:entry colname="col8">11.7</oasis:entry>
         <oasis:entry colname="col9">7.8</oasis:entry>
         <oasis:entry colname="col10">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC</oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">3.3</oasis:entry>
         <oasis:entry colname="col4">1.3</oasis:entry>
         <oasis:entry colname="col5">0.7</oasis:entry>
         <oasis:entry colname="col6">0.4</oasis:entry>
         <oasis:entry colname="col7">4.7</oasis:entry>
         <oasis:entry colname="col8">1.5</oasis:entry>
         <oasis:entry colname="col9">0.9</oasis:entry>
         <oasis:entry colname="col10">0.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e885"><inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Minimum. <inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Maximum. <inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula>
Standard deviation. <inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> BDL: below detection limit.</p></table-wrap-foot></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS6">
  <title>The PCA method</title>
      <p id="d1e2838">PCA is a multivariate analytical tool. It starts with a great many correlated
variables and attempts to find a smaller number of independent factors, which
can explain the variance in data. Here, the compound concentrations should
firstly be transformed into standardized form using the following formula:
            <disp-formula id="Ch1.Ex1"><mml:math id="M112" display="block"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="normal">…</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M115" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> sample; <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="normal">…</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M118" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> compound;
C<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> is the concentration of compound <inline-formula><mml:math id="M120" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> in sample <inline-formula><mml:math id="M121" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>; and <inline-formula><mml:math id="M122" display="inline"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the arithmetic mean concentration and
the standard deviation for compound <inline-formula><mml:math id="M124" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>, respectively. The derived variables
are linear combinations of original variables (Callén et al., 2009). In
order to better identify the influence of the original variables, varimax
rotation is used to obtain the rotated factor loadings that reflect the
contribution of each variable to its principal component (PC) (Almeida et
al., 2005; Viana et al., 2006). Factor loading means the correlation
coefficient between the variable and the PC, which reveals how much a
variable contributes to the corresponding PC and how much a variable differs
from others. Only factors with eigenvalues greater than 1 are extracted based
on Kaiser–Meyer–Olkin (KMO) and Bartlett's test of sphericity.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e3002">DCRC concentrations reported in this study and literature data from
the previous measurements at Mt. Tai in 2006 and other urban sites in the
world (unit: ng m<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.80}[.80]?><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="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <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">Location</oasis:entry>
         <oasis:entry colname="col2">Type</oasis:entry>
         <oasis:entry colname="col3">Year</oasis:entry>
         <oasis:entry colname="col4">Season</oasis:entry>
         <oasis:entry colname="col5">Size</oasis:entry>
         <oasis:entry colname="col6">Total dicarboxylic</oasis:entry>
         <oasis:entry colname="col7">Total oxocarboxylic</oasis:entry>
         <oasis:entry colname="col8">Total</oasis:entry>
         <oasis:entry colname="col9">Major species</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">acids</oasis:entry>
         <oasis:entry colname="col7">acids</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls</oasis:entry>
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">This study (day)</oasis:entry>
         <oasis:entry colname="col2">mountain</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">893</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">479</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">128</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">88.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">24.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M146" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">This study (night)</oasis:entry>
         <oasis:entry colname="col2">mountain</oasis:entry>
         <oasis:entry colname="col3">2014</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mn mathvariant="normal">892</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">402</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">122</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">73.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M153" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M155" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mt. Tai, China<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">mountain</oasis:entry>
         <oasis:entry colname="col3">2006</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">TSP</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mn mathvariant="normal">1702</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1385</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mn mathvariant="normal">242</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">210</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">68.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">64.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M164" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14 Chinese cities<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2003</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mn mathvariant="normal">892</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">457</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mn mathvariant="normal">36.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; Ph &gt; C<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Guangzhou, China<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2007</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mn mathvariant="normal">523</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">134</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; Ph &gt; <inline-formula><mml:math id="M180" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph &gt; C<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Beijing, China<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2006</oasis:entry>
         <oasis:entry colname="col4">autumn</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">760</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">369</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">44.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; Ph &gt; C<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chennai, India<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2007</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">503</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">118</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M196" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph &gt; C<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Raipur, India <inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mi>f</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2012–2013</oasis:entry>
         <oasis:entry colname="col4">winter</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.1</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">1072</oasis:entry>
         <oasis:entry colname="col7">90.9</oasis:entry>
         <oasis:entry colname="col8">30.2</oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> &gt; Ph</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tokyo, Japan<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">1989</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">TSP</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mn mathvariant="normal">726</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">636</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mn mathvariant="normal">117</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">39</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; Pyr</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sapporo, Japan<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2005</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">TSP</oasis:entry>
         <oasis:entry colname="col6">406</oasis:entry>
         <oasis:entry colname="col7">35</oasis:entry>
         <oasis:entry colname="col8">9.7</oasis:entry>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; <inline-formula><mml:math id="M215" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Leipzig, Germany<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2003–2005</oasis:entry>
         <oasis:entry colname="col4">summer/winter</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">175<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mi>l</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M220" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> &gt; hC<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Zurich, Switzerland <inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mi>j</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2002</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">TSP</oasis:entry>
         <oasis:entry colname="col6">66.9<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; hC<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Houston, USA<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">k</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">urban</oasis:entry>
         <oasis:entry colname="col3">2000</oasis:entry>
         <oasis:entry colname="col4">summer</oasis:entry>
         <oasis:entry colname="col5">PM<inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">67.7<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9">C<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> &gt; C<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.80}[.80]?><table-wrap-foot><p id="d1e3017"><?xmltex \hack{\vspace{2mm}}?><inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Kawamura et al. (2013).
<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Ho et al. (2007). <inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Ho et al. (2011). <inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula>
Ho et al. (2010). <inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Pavuluri et al. (2010a). <inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula>
Deshmukh et al. (2016). <inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> Kawamura and Yasui (2005).
<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula> Aggarwal and Kawamura (2008). <inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula> van Pinxteren et
al. (2014). <inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">j</mml:mi></mml:msup></mml:math></inline-formula> Fisseha et al. (2006). <inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">k</mml:mi></mml:msup></mml:math></inline-formula> Yue and Fraser
(2004). <inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula> Did not include all dicarboxylic acid species.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Air mass back-trajectory analysis</title>
      <p id="d1e4494">To identify the impact of regional transport, we calculated back-trajectories
using the HYSPLIT model (Draxler and Rolph, 2003). The mean transport pathway
and corresponding total concentration of DCRCs for every cluster are
displayed in Fig. 2. Clusters 2 and 4 accounted for 79 % of the
trajectories. Moreover, the total concentration of DCRCs was greatest in
clusters 2 and 4. The source regions of the air in clusters 2 and 4 were
characterized by large emissions of VOCs (Zhang et al., 2009), which are
important precursors of DCRCs. As a result, clusters 2 and 4 had higher DCRC
concentrations. The sum of DCRC concentrations in clusters 2 and 4
contributed 73 % of the total concentration of DCRCs during the sampling
period. Sampling dates in cluster 2 included 6 June, 11–13 June,
22–24 June, 28 June and 4 July, while 9–10 June, 14–21 June, 25–27 June,
30 June and 1–3 July belonged to cluster 4. Clusters 1 and 3 originated from
cleaner areas (i.e., the ocean and Siberia, respectively), so the total
concentration of DCRCs was lower compared with clusters 2 and 4. Trajectories
on 4–5 June and 29 June were grouped into cluster 1, while trajectories on
7–8 June were grouped into cluster 3. Using WRF modeling, the BLHs at
Mt. Tai (Fig. 3) were calculated. The results revealed that the day BLHs were
just occasionally higher than the site elevation for only 5 % of cluster 2 and 9 % of cluster 4 trajectories,
while the night BLHs were all lower than the site elevation. Mixed layer
heights in the back-trajectory clusters (Fig. S1) (GDAS1, Air Resources
Laboratory, NOAA) were all lower than the sampling site elevation. Therefore,
our measurements generally represented concentrations in the free
troposphere, which suggested that pollutant concentrations at Mt. Tai were
largely controlled by long-range transport. The result was different from a
previous study at Mt. Tai in 2006 (Kanaya et al., 2013), which reported that
the daytime BLHs during the campaign were mostly higher than the observation
site, and the night BLHs were generally within the residual layer and
occasionally in the free troposphere. Different meteorological conditions
between 2006 and 2014 at Mt. Tai, such as higher air pressure conditions but
quite low wind<?pagebreak page10747?> speeds in 2014, were the probable reasons for the BLH
differences.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Measured concentrations of DCRCs and their compositional trends</title>
      <p id="d1e4503">Homologous series of dicarboxylic acids (C<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:math></inline-formula>), oxocarboxylic
acids (C<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> except C<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>) and <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls
(C<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) were detected in PM<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> samples during the day and
night at Mt. Tai (Table 1). The total concentration of all detected DCRCs was
<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mn mathvariant="normal">1050</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">580</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the day and <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mn mathvariant="normal">1040</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">490</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
during the night. According to back-trajectories and classification results
of DCRCs in different back-trajectory clusters in Fig. 2, we can see that
DCRC concentrations were mostly higher in air masses that originated from
north of Mt. Tai (northern Hebei province) (31 %) and south of Mt. Tai
(northern Anhui province) (48 %), but lower in air masses derived from
the ocean (11 %) and Siberia (10 %). PM<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> mass concentration at
Mt. Tai during the campaign was <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mn mathvariant="normal">98.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">29.2</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mn mathvariant="normal">98.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M253" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M254" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the day and night, respectively. DCRC
total concentration contributed about 1.2 % and 1.1 % to PM<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>
in the day and night, respectively. In addition, the DCRC C accounted for
3.3 % and 3.2 % of OC in the day and night, respectively.</p>
      <p id="d1e4697">As shown in Table 1, the concentrations of DCRC individual species were
comparable during the day and night. C<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was found to be the most
abundant dicarboxylic acid compound. The relative abundance of C<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the
total concentration of dicarboxylic acids was 57 % during the day and
60 % during the night, followed by C<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (day: 14 %, night:
14 %) and C<inline-formula><mml:math id="M259" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (day: 10 %, night: 9 %). These results were
consistent with the previous 2006 studies at Mt. Tai (Wang et al., 2009;
Kawamura et al., 2013). Ph (day: 4 %, night: 3 %), C<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (day:
3 %, night: 3 %) and azelaic acid (C<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>) (day: 2 %, night:
2 %) also exhibited some contributions. The other dicarboxylic acid
species contributed less than 2 %. Among the oxocarboxylic acids,
<inline-formula><mml:math id="M262" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M263" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> provided the largest contribution to their total
concentration (day: 43 %, night: 46 %), followed by Pyr (day:
18 %, night: 16 %) and 4-oxobutanoic acid (<inline-formula><mml:math id="M264" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) (day:
13 %, night: 13 %). Additionally, two <inline-formula><mml:math id="M266" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls were
identified (Gly and MGly). During the day they had similar concentrations,
but MGly exhibited a higher concentration than Gly during the night.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Comparison with previous aerosol studies at Mt. Tai in 2006 and other
urban sites in the world</title>
      <p id="d1e4800">The concentrations of DCRCs at Mt. Tai in 2014 and from other previous
measurements are presented in Table 2. Deng et al. (2011) reported that the
ratio of PM<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TSP in June 2006 at Mt. Tai was 0.91. Deng et
al. (2011) also showed that most of the water-soluble ions presented similar
concentrations in PM<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and TSP, and the ratios of their concentrations
in PM<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and TSP were more than 0.9. Therefore, we assumed there were
small contributions of DCRCs from coarse-mode particles. The low impact of
particle size on particle composition has been reported at Mt. Gongga in
China (Yang et al., 2009). Using the ratio of PM<inline-formula><mml:math id="M271" 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="M272" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TSP
(PM<inline-formula><mml:math id="M273" 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="M274" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TSP <inline-formula><mml:math id="M275" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.91) and DCRC concentrations in TSP at Mt. Tai
in June 2006 (Kawamura et al., 2013), we have estimated the corresponding
DCRC concentrations in PM<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> at Mt. Tai in June 2006 (1550, 220,
62 ng m<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for dicarboxylic acids, oxocarboxylic acids and <inline-formula><mml:math id="M278" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls, respectively).</p>
      <p id="d1e4906">Compared to the results from this study, DCRC concentrations in 2014 at
Mt. Tai were about 2 times lower. Different meteorology conditions in 2006
and 2014 may partially explain the decreased concentrations, as well as the
implementation of regulatory controls of biomass burning by the Chinese
government. In addition, using the ratio of PM<inline-formula><mml:math id="M279" 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="M280" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> TSP and the
levoglucosan concentration in TSP at Mt. Tai in June 2006 (Fu et al., 2008),
the estimated levoglucosan concentration in PM<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> at Mt. Tai in June
2006 was 390 ng m<inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The result was more than 5 times higher than that
in 2014 (levoglucosan: 70 ng m<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Zhu et al., 2017), which suggests
that biomass burning may have decreased from 2006 to 2014, or that Mt. Tai
was less influenced by emissions from lower altitudes during summer 2014.</p>
      <p id="d1e4958">Compared with the Chinese megacities, such as Guangzhou in 2007 and Beijing
in 2006 (Ho et al., 2010, 2011), the total concentration of DCRCs at Mt. Tai
in 2014 was about 1–2 times higher. The concentration of dicarboxylic acids
at Mt. Tai in 2014 was similar to the concentration reported in 14 Chinese
cities in 2003 (Ho et al., 2007), while oxocarboxylic acids and <inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls were more than 3 times higher at Mt. Tai. Compared with other
Asian urban sites, the total concentration of DCRCs reported here was about
1–2 times higher when compared with those reported in PM<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> in Chennai,
India, in 2007 (Pavuluri et al., 2010b), and in TSP in Tokyo, Japan, in 1989
(Kawamura and Yasui, 2005) and Sapporo, Japan, in 2005 (Aggarwal and
Kawamura, 2008), but lower than that in PM<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.1</mml:mn></mml:msub></mml:math></inline-formula> in Raipur, India, in
2012–2013 (Deshmukh et al., 2016). Furthermore, the Mt. Tai DCRC total
concentration in 2014 was approximately 13 times higher compared with
Houston, USA, in 2000 (Yue and Fraser, 2004). Meanwhile, the result reported
in this study was about 5 and 13 times higher than those in PM<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula> in
Leipzig, Germany, in 2003–2005 (van Pinxteren et al., 2014) and in TSP in
Zurich, Switzerland, in 2002 (Fisseha et al., 2006), respectively. The high
DCRC concentrations at Mt. Tai likely resulted from the substantial emissions
of VOCs in Mt. Tai's surrounding areas, which are some of the most heavily
polluted regions in China.</p>
      <p id="d1e4995">C<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was the most abundant species at Mt. Tai in 2014, and the
concentrations of C<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> were larger than C<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. This trend was consistent
with measurements at several urban sites, where anthropogenic emissions were
important sources, such as in the 14 Chinese cities and Tokyo, Japan (Ho et
al., 2007; Kawamura and Yasui, 2005). Ph, a tracer for anthropogenic sources
(Kawamura and Yasui, 2005), was the second most<?pagebreak page10748?> abundant species in Beijing,
Guangzhou and the 14 Chinese cities. However, in this study, Ph was just the
fifth most abundant species. The dissimilar trend was likely due to
photochemical aging during long-range transport from source regions to
Mt. Tai.</p>
      <p id="d1e5026">Although DCRC concentrations decreased from 2006 to 2014, they were still
greater compared to other urban sites in the world. Due to photochemical
aging during long-range transport, the compositional trends of DCRCs were
different from previously studied Chinese sites.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e5031">Topographic map of Mt. Tai and the surrounding region. In the top
and bottom panels the altitude is shown by the <inline-formula><mml:math id="M291" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> axis and by the color map,
respectively, both with units of meters. The digital SRTM (NASA's Shuttle
Radar Topography Mission) elevation data are provided by the CIAT-CSI SRTM
website (<uri>http://srtm.csi.cgiar.org</uri>; last access: 7 June 2018).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>Comparisons of day and night measurements of DCRCs</title>
      <p id="d1e5056">As shown in Table 1, the daytime concentrations of individual DCRC species
were similar to their nighttime concentrations. The day–night concentration
ratios of 79 % of the individual species ranged between 0.9 and 1.1.</p>
      <p id="d1e5059">The BLHs were higher during the day, peaking near noontime. The boundary
layer occasionally extended high enough during the day to approach the
sampling site (Fig. 3). However, the maximum BLH was only <inline-formula><mml:math id="M292" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 600 m
during the night, which was much lower than the sampling site height. As
shown in Fig. 3, the total concentration of DCRCs increased when BLHs were
higher than the site elevation, which suggested that mountain/valley breezes
may bring ground-level pollutants to the summit of Mt. Tai. During the day
when the BLHs can be above the sampling site height, more polluted air can be
transported from the lower (ground) levels to Mt. Tai's top, while during the
night, cooling of the ground surface and subsidence of cool air may pull down
clean air masses from the free troposphere to the top of Mt. Tai (Fu et al.,
2014). However, clear diurnal variations were not found in the DCRC
concentrations. Furthermore, the predicted BLH (Fig. 3) suggests that the
sampling site was mostly above the BLH during the sampling period; thus, the
impact of uplifted air on the 12 h filter measurements should be minor.
Moreover, it is noted that the summit of Mt. Tai is about a few hundred
meters above other summits in the surrounding region (Fig. 4). Therefore, the
airflow at Mt. Tai should be mainly influenced by the synoptic flow rather
than drainage flows. Such an isolated mountain peak is often characterized by
wind flows around the peak and small amounts of lifting over it.
Nevertheless, under light wind conditions, sunlit mountain slopes may be a
favored location for thermals lifting up air from lower levels. However, due
to the predominant northwesterly winds, this might have only a minor effect
on the performed measurements. No day–night variations of the DCRCs were
observed, indicating similar air masses throughout the day and night
measurement periods. Due to the fact that air masses arriving at Mt. Tai are
transported over several days, multi-day transport has to be considered part
of the reason for the similar concentrations of the field samples taken
during the day and night.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p id="d1e5071">Scatter plot of the day and night concentrations of DCRCs and
selected DCRC precursors. Here, the total concentration of selected DCRC
precursors is the summed concentration of ethyne, ethene, isoprene, <inline-formula><mml:math id="M293" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, <inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene, toluene, <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>-xylene and o-xylene.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f05.png"/>

        </fig>

      <p id="d1e5106"><?xmltex \hack{\newpage}?>As shown in Fig. 5, DCRC concentrations exhibited weak and moderate
correlations with total concentrations of selected DCRC precursors during the
day (<inline-formula><mml:math id="M296" 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">0.29</mml:mn></mml:mrow></mml:math></inline-formula>) and night (<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.48</mml:mn></mml:mrow></mml:math></inline-formula>), respectively, where selected
DCRC precursors included ethyne, ethene, isoprene, <inline-formula><mml:math id="M298" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene, <inline-formula><mml:math id="M299" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene, toluene, m/p-xylene and o-xylene (Warneck, 2003; Ervens et al.,
2004; Bikkina et al., 2014; Tilgner and Herrmann, 2010).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p id="d1e5157">Average diurnal variation of RH during the sampling period at the
top of Mt. Tai.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f06.png"/>

        </fig>

      <p id="d1e5166">In addition, the daytime DCRC concentrations might have been enhanced by
photochemical reactions, and the night concentrations might have been
enhanced by effective aqueous-phase oxidation and
less effective loss. Average RH values during the sampling period at Mt. Tai
were 87 %, up to 100 % (Fig. 1), and higher on average during the
night (Fig. 6). In addition, average RH values along the dominant
back-trajectory clusters (clusters 2 and 4) were about 70 % (Fig. S1 in
the Supplement). However, due to the coarse resolution of HYSPLIT, it was
difficult to judge whether clouds occurred. Therefore, MODIS satellite
pictures were investigated, and the results showed that clouds sometimes
occurred in the region of Mt. Tai and in the areas that the trajectories
passed over during the sampling period. But MODIS satellite pictures have
limited information about the cloud base and top heights, and thus they
cannot exactly explore whether there were clouds at the height of the
trajectories. A correlation of C<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and sulfate (SO<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) and the
corresponding linear regression slope were used to evaluate whether C<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
was produced by aqueous-phase oxidation (Yu et al., 2005; Sullivan and
Prather, 2007). As shown in Fig. 7, C<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> exhibited a
higher correlation during the night (<inline-formula><mml:math id="M305" 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">0.64</mml:mn></mml:mrow></mml:math></inline-formula>) than that during the day
(<inline-formula><mml:math id="M306" 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">0.28</mml:mn></mml:mrow></mml:math></inline-formula>), and the linear regression slope during the night (0.028)
was also higher than that during the day (0.016). Assuming aqueous-phase
formation of SO<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was the dominant process (Yu et al., 2005), these
results indicated that a substantial concentration of C<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> may be produced
via aqueous-phase oxidation during the night. In addition, photolysis of
iron-oxalate complexes is considered an important sink of C<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which is
effective under clear-sky sunlight conditions (Ervens et al., 2003; Pavuluri
and Kawamura, 2012; Weller et al., 2014). Deng et al. (2011) and Shen et
al. (2012) reported that Mt. Tai aerosol particles and cloud droplets include
a substantial amount of transition metal ions, such as iron. Deng et
al. (2011) reported that iron concentration was 0.71 <inline-formula><mml:math id="M310" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M311" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
in PM<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and 1.69 <inline-formula><mml:math id="M313" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math id="M314" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in TSP during summer 2006.
Moreover, Shen et al. (2012) reported that the average bulk cloud water
concentration of iron was 44 and 416 <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g L<inline-formula><mml:math id="M316" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during summers
2007 and 2008, respectively. Thus, iron-oxalate complex formation and
photolysis might be possible chemical pathways occurring in Mt. Tai aerosols.
Therefore, the removal of C<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was lower during the night than during the
day.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p id="d1e5369">Day and night scatter plot between C<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f07.png"/>

        </fig>

      <p id="d1e5402">Details of the multiphase formation pathways, removal mechanisms and major
precursor contributions will be further investigated using the SPectral
Aerosol Cloud Chemistry Interaction Model (SPACCIM, Wolke et al.,<?pagebreak page10749?> 2005)
together with a chemical aqueous-phase radical mechanism (CAPRAM, Tilgner et
al., 2013) in an upcoming study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p id="d1e5407">Temporal variation of DCRCs and <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> aerosols
collected at Mt. Tai during the day (D) and night (N) in 2014.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f08.png"/>

        </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e5440">PCA factor loadings for daytime DCRCs, OC, EC and inorganic ions as
well as mean trajectory length, solar flux along trajectory and mixing depth
along trajectory.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Compounds</oasis:entry>
         <oasis:entry colname="col2">PC1<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">PC2<inline-formula><mml:math id="M328" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">PC3<inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">PC4<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">PC5<inline-formula><mml:math id="M331" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.854</bold></oasis:entry>
         <oasis:entry colname="col3">0.382</oasis:entry>
         <oasis:entry colname="col4">0.203</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.832</bold></oasis:entry>
         <oasis:entry colname="col3">0.277</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.751</bold></oasis:entry>
         <oasis:entry colname="col3">0.353</oasis:entry>
         <oasis:entry colname="col4">0.407</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.764</bold></oasis:entry>
         <oasis:entry colname="col3">0.267</oasis:entry>
         <oasis:entry colname="col4">0.437</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.697</bold></oasis:entry>
         <oasis:entry colname="col3">0.222</oasis:entry>
         <oasis:entry colname="col4">0.322</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M338" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.256</oasis:entry>
         <oasis:entry colname="col4">0.294</oasis:entry>
         <oasis:entry colname="col5"><bold>0.756</bold></oasis:entry>
         <oasis:entry colname="col6">0.389</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M339" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.762</bold></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">0.523</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M341" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><bold>0.885</bold></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M342" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.630</bold></oasis:entry>
         <oasis:entry colname="col3">0.288</oasis:entry>
         <oasis:entry colname="col4"><bold>0.635</bold></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M343" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.794</bold></oasis:entry>
         <oasis:entry colname="col3">0.205</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ph</oasis:entry>
         <oasis:entry colname="col2"><bold>0.693</bold></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">0.431</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">0.313</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M345" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><bold>0.904</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M346" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.716</bold></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">0.285</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M348" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.202</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pyr</oasis:entry>
         <oasis:entry colname="col2"><bold>0.823</bold></oasis:entry>
         <oasis:entry colname="col3">0.353</oasis:entry>
         <oasis:entry colname="col4">0.218</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M349" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.854</bold></oasis:entry>
         <oasis:entry colname="col3">0.406</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.881</bold></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Gly</oasis:entry>
         <oasis:entry colname="col2"><bold>0.834</bold></oasis:entry>
         <oasis:entry colname="col3">0.396</oasis:entry>
         <oasis:entry colname="col4">0.248</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MGly</oasis:entry>
         <oasis:entry colname="col2"><bold>0.687</bold></oasis:entry>
         <oasis:entry colname="col3">0.540</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OC</oasis:entry>
         <oasis:entry colname="col2"><bold>0.787</bold></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.559</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC</oasis:entry>
         <oasis:entry colname="col2">0.411</oasis:entry>
         <oasis:entry colname="col3">0.226</oasis:entry>
         <oasis:entry colname="col4"><bold>0.632</bold></oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M353" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.337</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Na<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.241</oasis:entry>
         <oasis:entry colname="col3">0.314</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><bold>0.862</bold></oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NH<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.315</oasis:entry>
         <oasis:entry colname="col3"><bold>0.938</bold></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.875</bold></oasis:entry>
         <oasis:entry colname="col3">0.289</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.293</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.355</oasis:entry>
         <oasis:entry colname="col3"><bold>0.814</bold></oasis:entry>
         <oasis:entry colname="col4">0.302</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.279</oasis:entry>
         <oasis:entry colname="col3"><bold>0.895</bold></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean trajectory length</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M359" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><bold>0.629</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M360" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><bold>0.627</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M361" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.255</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Solar flux along trajectory</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M362" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.401</oasis:entry>
         <oasis:entry colname="col3">0.380</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mixing depth along trajectory</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M363" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.507</oasis:entry>
         <oasis:entry colname="col3">0.393</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M364" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.302</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Variance (%)</oasis:entry>
         <oasis:entry colname="col2">64 %</oasis:entry>
         <oasis:entry colname="col3">9 %</oasis:entry>
         <oasis:entry colname="col4">7 %</oasis:entry>
         <oasis:entry colname="col5">6 %</oasis:entry>
         <oasis:entry colname="col6">4 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e5443">Extraction method: PCA. Rotation method: varimax with Kaiser
normalization. <inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Anthropogenic activities followed by
photochemical aging. <inline-formula><mml:math id="M323" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Secondary sources. <inline-formula><mml:math id="M324" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Fuel
combustion. <inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Photooxidation of unsaturated fatty acids emitted
from the sea surface together with sea salt. <inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Waste burning.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S3.SS5">
  <title>Impact of biomass burning on the temporal variations of DCRCs</title>
      <p id="d1e6426">The temporal variations of DCRCs and <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> are presented in Fig. 8. It can
be seen from Fig. 8 that DCRC concentrations in the first half of the
sampling period (4–19 June) were about 2 times higher than those in the
second half of the sampling period (20 June–4 July). From the trajectory
analysis, we can see that during the first and second halves of the sampling
periods, 4 and 5 days, respectively, belonged to cluster 2. In addition, 8
and 9 days belonged to cluster 4, respectively. Therefore, the dominant air
masses in the first and second halves of the sampling periods were similar,
and thus had a low impact on DCRC concentrations in the two periods. Figure
S2 shows meteorological data in the different back-trajectory clusters during
the sampling period at Mt. Tai. We can see that the pressure, temperature and
RH did not change much in either of clusters 2 and 4 over the timescale of
the mean trajectories. Moreover, as shown in Fig. 1, meteorological data at
the Mt. Tai site also did not change much between the first and second halves
of the sampling periods. Therefore, the quite stable meteorological
conditions may have had a low impact on the DCRC concentrations between the
first and second halves of the sampling periods. Dicarboxylic acids and
<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> exhibited a strong correlation during the first half of the
measurement (<inline-formula><mml:math id="M367" 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">0.77</mml:mn></mml:mrow></mml:math></inline-formula>), while during the second half, dicarboxylic acids
and <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> exhibited no correlation (<inline-formula><mml:math id="M369" 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">0.04</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 9). The peaks of
dicarboxylic acids and <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> appeared almost simultaneously (Fig. 8). It is
also clear that when the <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentration increased, dicarboxylic acids
correspondingly increased during the first<?pagebreak page10750?> half (Fig. 9). These results imply
that biomass burning was an important contributor to DCRCs during the first
half of the measurement period. Moreover, according to reports by weather
satellites of the Ministry of Environment Protection of the People's Republic
of China (<uri>http://www.zhb.gov.cn/</uri>; last access: 26 April 2018), straw
burning hotspots in air masses that passed over key areas (Anhui, Hebei and
Shandong provinces) were mainly distributed in the first half of the sampling
period (Fig. 10). This result further shows that biomass burning was more
important in the first half of the sampling period.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p id="d1e6521">PCA factor loadings for nighttime DCRCs, OC, EC and inorganic ions
as well as mean trajectory length, solar flux along trajectory and mixing
depth along trajectory.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Compounds</oasis:entry>
         <oasis:entry colname="col2">PC1<inline-formula><mml:math id="M376" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">PC2<inline-formula><mml:math id="M377" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">PC3<inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">PC4<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M380" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.674</bold></oasis:entry>
         <oasis:entry colname="col3">0.504</oasis:entry>
         <oasis:entry colname="col4">0.464</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.341</oasis:entry>
         <oasis:entry colname="col3"><bold>0.728</bold></oasis:entry>
         <oasis:entry colname="col4">0.436</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.356</oasis:entry>
         <oasis:entry colname="col3"><bold>0.678</bold></oasis:entry>
         <oasis:entry colname="col4">0.506</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.578</oasis:entry>
         <oasis:entry colname="col3"><bold>0.699</bold></oasis:entry>
         <oasis:entry colname="col4">0.285</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.661</bold></oasis:entry>
         <oasis:entry colname="col3">0.400</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.516</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">C<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.531</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><bold>0.726</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M386" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.407</oasis:entry>
         <oasis:entry colname="col3"><bold>0.657</bold></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.585</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M388" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><bold>0.870</bold></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.239</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M389" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.538</oasis:entry>
         <oasis:entry colname="col3"><bold>0.642</bold></oasis:entry>
         <oasis:entry colname="col4">0.334</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M390" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.735</bold></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">0.364</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ph</oasis:entry>
         <oasis:entry colname="col2"><bold>0.610</bold></oasis:entry>
         <oasis:entry colname="col3">0.478</oasis:entry>
         <oasis:entry colname="col4">0.305</oasis:entry>
         <oasis:entry colname="col5">0.467</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M392" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><bold>0.953</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M393" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.514</oasis:entry>
         <oasis:entry colname="col3"><bold>0.779</bold></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pyr</oasis:entry>
         <oasis:entry colname="col2"><bold>0.834</bold></oasis:entry>
         <oasis:entry colname="col3">0.293</oasis:entry>
         <oasis:entry colname="col4">0.356</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M395" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.823</bold></oasis:entry>
         <oasis:entry colname="col3">0.312</oasis:entry>
         <oasis:entry colname="col4">0.435</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M397" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.893</bold></oasis:entry>
         <oasis:entry colname="col3">0.261</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">0.283</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Gly</oasis:entry>
         <oasis:entry colname="col2"><bold>0.819</bold></oasis:entry>
         <oasis:entry colname="col3">0.352</oasis:entry>
         <oasis:entry colname="col4">0.378</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MGly</oasis:entry>
         <oasis:entry colname="col2">0.568</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><bold>0.671</bold></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OC</oasis:entry>
         <oasis:entry colname="col2"><bold>0.674</bold></oasis:entry>
         <oasis:entry colname="col3">0.223</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><bold>0.660</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><bold>0.770</bold></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Na<inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.374</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><bold>0.865</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NH<inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.273</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><bold>0.921</bold></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><bold>0.894</bold></oasis:entry>
         <oasis:entry colname="col3">0.248</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NO<inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.540</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M403" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.206</oasis:entry>
         <oasis:entry colname="col4"><bold>0.684</bold></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SO<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.365</oasis:entry>
         <oasis:entry colname="col4"><bold>0.887</bold></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean trajectory length</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M405" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.564</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M406" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.408</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M407" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.531</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Solar flux along trajectory</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mixing depth along trajectory</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M408" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.522</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M409" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.427</oasis:entry>
         <oasis:entry colname="col4">0.293</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Variance (%)</oasis:entry>
         <oasis:entry colname="col2">56 %</oasis:entry>
         <oasis:entry colname="col3">14 %</oasis:entry>
         <oasis:entry colname="col4">13 %</oasis:entry>
         <oasis:entry colname="col5">6 %</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e6524">Extraction method: PCA. Rotation method: varimax with Kaiser
normalization. <inline-formula><mml:math id="M372" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Anthropogenic activities followed by
photochemical aging. <inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Fuel combustion and photochemical
reaction. <inline-formula><mml:math id="M374" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Secondary processing. <inline-formula><mml:math id="M375" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> A mixed aerosol
source related to waste burning and photooxidation of unsaturated fatty acids
emitted from the sea surface together with sea salt.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9"><caption><p id="d1e7369">Scatter plot of concentration between <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and dicarboxylic acids
during the first and second halves of the campaign.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f09.png"/>

        </fig>

      <p id="d1e7390">Concentrations of C<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> declined from the first half to the second half
(Fig. S2). C<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and longer-chain dicarboxylic acids
(C<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>) also exhibited similar trends, with much higher
concentrations during the first half. However, <inline-formula><mml:math id="M416" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M418" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> were
generally constant throughout the whole period. This result suggested that
biomass burning may be an insignificant source for these two species. <inline-formula><mml:math id="M420" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M421" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>, mM, Ph, <inline-formula><mml:math id="M422" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>Ph, <inline-formula><mml:math id="M423" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph, <inline-formula><mml:math id="M424" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M425" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M426" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M427" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula> had higher
concentrations during the first half, suggesting that anthropogenic
components, such as vehicle emissions, fossil combustion and plastic burning
(Kawamura and Kaplan, 1987; Simoneit et al., 2005), were probably transported
to the Mt. Tai site concurrently with biomass burning plumes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p id="d1e7534">Straw burning hotspot number in air masses that passed over key
areas during the sampling period reported by a weather satellite of the
Ministry of Environment Protection of the People's Republic of China.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f10.png"/>

        </fig>

      <p id="d1e7543">Oxocarboxylic acids and <inline-formula><mml:math id="M428" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls exhibited similar temporal
trends with dicarboxylic acids. On average, oxocarboxylic acids and <inline-formula><mml:math id="M429" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls were more abundant during the first half (<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mn mathvariant="normal">158</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">101</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mn mathvariant="normal">32.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25.5</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively) than during the second half
(<inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mn mathvariant="normal">89.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25.1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mn mathvariant="normal">16.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.82</mml:mn></mml:mrow></mml:math></inline-formula> ng m<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively).
<inline-formula><mml:math id="M436" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–<inline-formula><mml:math id="M438" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M440" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>, Pyr, Gly and MGly also
displayed similar trends with C<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and had higher concentrations during
the first half.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F11" specific-use="star"><caption><p id="d1e7693">Time series of the Ph <inline-formula><mml:math id="M443" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> ratios (D: day, N: night).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/10741/2018/acp-18-10741-2018-f11.png"/>

        </fig>

      <?pagebreak page10753?><p id="d1e7718">Ph is a photo-degradation product of anthropogenic aromatic hydrocarbons, and
C<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> is a photo-oxidation product of biogenic unsaturated fatty acids
(Schauer et al., 2002; Kawamura and Ikushima, 1993). As a result, the
Ph <inline-formula><mml:math id="M446" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> ratio was considered a proxy to evaluate the source strength
of anthropogenic versus biogenic emissions (Kawamura and Yasui, 2005). In
this study, Ph <inline-formula><mml:math id="M448" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> ratios ranged from 0.32 to 8.64 (average: 3.20)
and were mostly higher than 1 (Fig. 11), which were comparable to those from
the 14 Chinese cities (Ho et al., 2007) (average in the summer: 3.37), but
much higher than in Nanjing, China (average in summer: 1.98) (Wang et al.,
2002), and Chennai, India (average in summer: 0.69) (Pavuluri et al., 2010b).
These comparisons suggest that anthropogenic sources contributed more
significantly than biogenic sources at Mt. Tai. Moreover, the
Ph <inline-formula><mml:math id="M450" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> ratios were higher during the day (range: 0.32–8.64,
average: 3.75) compared to those during the night (range: 0.54–7.09,
average: 2.53). In addition, the Ph <inline-formula><mml:math id="M452" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> ratios were higher during
the second half, when almost no straw burning hotspots were observed.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <title>Source identification of DCRCs</title>
      <p id="d1e7801">In this study, PCA was employed to identify the DCRC sources in PM<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>.
Concentrations of C<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M458" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M459" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math id="M461" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M462" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M463" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M465" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M466" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>, Ph, <inline-formula><mml:math id="M467" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph, <inline-formula><mml:math id="M468" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Pyr,
<inline-formula><mml:math id="M470" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M472" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, Gly, MGly (compound abbreviation in
Table 1), OC, EC, Na<inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, NH<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> as well as mean trajectory length, solar flux along the
trajectory and mixing depth along the trajectory were used for PCA using IBM
SPSS Statistics 21.0, and the results are presented in Tables 3 and 4. If the
compound concentration was below the detection limit, the data were replaced
by a value half of the corresponding detection limit (Wold et al., 1987).
Only factor loadings <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>x</mml:mi><mml:mo>|</mml:mo><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> were considered, and <inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi>x</mml:mi><mml:mo>|</mml:mo><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> were considered high loading and are depicted in bold.</p>
      <p id="d1e8063">From the daytime samples, five PCs were extracted, and PC1, PC2, PC3, PC4 and
PC5 explained 64, 9, 7, 6 and 4 %, respectively, of the total variance
(90 % in total). As shown in Table 3, PC1 was dominated by high loadings
of C<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M482" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M483" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M484" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M485" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M486" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, Ph, <inline-formula><mml:math id="M488" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Pyr,
<inline-formula><mml:math id="M490" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, Gly, MGly, OC and <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, which were
associated with anthropogenic activities (such as agricultural activities)
followed by photochemical aging. As mentioned above, Ph and <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> implied
anthropogenic sources and biomass burning, respectively. The negative loading
of mean trajectory length and mixing depth along the trajectory to PC1
suggested high residence times of trajectories above continental areas.
NH<inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and SO<inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> were dominant species in
secondary inorganic aerosols. Their positive correlations with PC2 indicated
that PC2 was derived from secondary sources, including gas- and<?pagebreak page10754?> aqueous-phase
chemistry. The low loading of solar flux in PC2 indicated that secondary
sources were not primarily driven by radiation. PC3 was enriched in <inline-formula><mml:math id="M499" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M500" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>
and EC, and was assumed to represent fuel combustion. EC was used as a source
tracer for fuel combustion (Puxbaum et al., 2007; Zhang et al., 2008). <inline-formula><mml:math id="M501" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>
and <inline-formula><mml:math id="M502" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> can be emitted from fuel combustion (Jung et al., 2010). In PC4,
C<inline-formula><mml:math id="M503" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> and Na<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> were dominant. Moreover, a high correlation was found
between C<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> and Na<inline-formula><mml:math id="M506" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M507" 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">0.69</mml:mn></mml:mrow></mml:math></inline-formula>). These results suggested that
photooxidation of unsaturated fatty acids emitted from the sea surface
together with sea salt was dominant in PC4. Na<inline-formula><mml:math id="M508" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> is a tracer for sea salt
(Wagenbach et al., 1998). For PC5, <inline-formula><mml:math id="M509" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph was dominant, indicating an
important contribution by waste burning. <inline-formula><mml:math id="M510" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph can be produced by solid
wastes and/or plastic polymer burning (Simoneit et al., 2005; Kawamura and
Pavuluri, 2010).</p>
      <p id="d1e8342">During the night period, four PCs were extracted. PC1, PC2, PC3 and PC4
explained 56 %, 14 %, 13 % and 6 %, respectively, of the
total variance (89 % in total). As shown in Table 4, C<inline-formula><mml:math id="M511" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math id="M513" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, Ph, Pyr, <inline-formula><mml:math id="M515" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M517" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, Gly, OC and <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
strongly correlated with PC1, which were attributed to anthropogenic
activities followed by photochemical aging. In contrast, C<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–C<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>,
<inline-formula><mml:math id="M522" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M523" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M524" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M525" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M526" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>C<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and EC displayed strong correlations with
PC2. As a result, PC2 was attributed to emissions from fuel combustion and
photochemical reaction. For PC3, MGly, NH<inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and
SO<inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> dominated, suggesting that secondary processing was an
important source. Moreover, the contribution of this source to the variance
was higher during the night (13 %) than that during the day (9 %),
suggesting that secondary processing was more important during the night. The
negative loading of mean trajectory length and mixing depth along the
trajectory in PC1, PC2 and PC3 indicates long residence times above the
continental areas. The correlation between C<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula> and Na<inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M533" 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">0.51</mml:mn></mml:mrow></mml:math></inline-formula>) suggests photooxidation of unsaturated fatty acids emitted from the
sea surface together with sea salt. As mentioned above, <inline-formula><mml:math id="M534" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph is produced by
waste burning. High correlations of C<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M536" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>Ph, OC and Na<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in PC4
may reveal a mixed aerosol source related to waste burning and photooxidation
of unsaturated fatty acids emitted from the sea surface together with sea
salt.</p>
      <p id="d1e8594">Day and night sources of DCRCs were similar, but there were some differences
in source order and contribution. Anthropogenic activities followed by
photochemical aging had a higher contribution during the day, which was
probably related to higher BLHs during the day. Fuel combustion was the
second most important source during the night, and its contribution was also
higher during the night. Although secondary processing was the third most
important source at night, its contribution was higher than that during the
day, which may be related to more effective aqueous oxidation during the
night. The daytime sources in PC4 and PC5 were not separated during the
night.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p id="d1e8605">Dicarboxylic acids and related compounds (DCRCs) were quantified in
PM<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> filter samples collected between 4 June and 4 July 2014 at
Mt. Tai. DCRC concentrations were higher than those at urban sites around the
world but lower than previous measurements at Mt. Tai. WRF modeling and
back-trajectory analysis implied that long-range transport of pollutants was
a major factor governing the DCRC distributions at Mt. Tai. PCA results
revealed that anthropogenic activities followed by photochemical aging were
the major source of DCRCs at Mt. Tai. Biomass burning only had an important
impact in the first half of the measurement period (4–19 June).</p>
      <p id="d1e8617">Campaign-averaged DCRC concentrations were similar during the day and night.
Multi-day transport of pollutants over Mt. Tai was considered an important
factor for the similar concentrations. Based on the correlation analysis
between DCRCs and their gas precursors and the correlation between C<inline-formula><mml:math id="M539" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
and sulfate, the similar day–night ratios were probably dependent on
precursor emissions and aqueous oxidations. Further interpretations of the
complex Mt. Tai dataset using a detailed multiphase chemistry air parcel
model will be completed in a follow-up study.</p>
</sec>

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

      <p id="d1e8633">No data sets were used in this article.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e8636">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-18-10741-2018-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-18-10741-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution">

      <p id="d1e8645">YZ: investigation, data curation, visualization; writing – original draft, writing – review and
editing.
LY: writing – review and editing; project administration, funding
acquisition.
JC: investigation.
KK: methodology; writing – review and editing.
MS: formal analysis.
AT: software, visualization; writing – review and editing.
DvP: writing – review and editing.
YC: software; writing – review and editing.
LX: investigation.
XW: investigation.
IJS: formal analysis.
HH: conceptualization; writing – review and editing.
DRB: formal analysis.
WW: supervision, resources.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e8651">The authors declare that they have no conflict of
interest.</p>
  </notes><notes notes-type="sistatement">

      <p id="d1e8657">This article is part of the special issue “Regional transport
and transformation of air pollution in eastern China”. It is not associated
with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8663">The authors acknowledge the financial support from the National Natural
Science Foundation of China (no. 21577079) and the Japan Society for the
Promotion of Science<?pagebreak page10755?> through a Grant-in-Aid (no. 24221001). The authors also
acknowledge the China Scholarship Council for supporting Yanhong Zhu in
studying on the project at the Atmospheric Chemistry Department (ACD) of the
Leibniz Institute for Tropospheric Research (TROPOS), Germany.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: James Roberts<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>Molecular distributions of dicarboxylic acids, oxocarboxylic acids and <i>α</i>-dicarbonyls in PM<sub>2.5</sub> collected at the top of Mt. Tai, North China, during the wheat burning season of 2014</article-title-html>
<abstract-html><p>Fine particulate matter (PM<sub>2.5</sub>) samples collected at Mount
(Mt.) Tai in the North China Plain during summer 2014 were analyzed for
dicarboxylic acids and related compounds (oxocarboxylic acids and <i>α</i>-dicarbonyls) (DCRCs). The total concentration of DCRCs was 1050±580
and 1040±490&thinsp;ng&thinsp;m<sup>−3</sup> during the day and night, respectively.
Although these concentrations were about 2 times lower than similar
measurements in 2006, the concentrations reported here were about 1–13 times
higher than previous measurements in other major cities in the world.
Molecular distributions of DCRCs revealed that oxalic acid (C<sub>2</sub>) was the
dominant species (50&thinsp;%), followed by succinic acid (C<sub>4</sub>) (12&thinsp;%)
and malonic acid (C<sub>3</sub>) (8&thinsp;%). WRF modeling revealed that Mt. Tai was
mostly in the free troposphere during the campaign and long-range transport
was a major factor governing the distributions of the measured compounds at
Mt. Tai. A majority of the samples (79&thinsp;%) had comparable concentrations
during the day and night, with their day–night concentration ratios between
0.9 and 1.1. Multi-day transport was considered an important reason for the
similar concentrations. Correlation analyses of DCRCs and their gas
precursors and between C<sub>2</sub> and sulfate indicated precursor emissions and
aqueous-phase oxidations during long-range transport also likely play an
important role, especially during the night. Source identification indicated
that anthropogenic activities followed by photochemical aging accounted for
about 60&thinsp;% of the total variance and were the dominant source at Mt. Tai.
However, biomass burning was only important during the first half of the
measurement period. Measurements of potassium (<i>K</i><sup>+</sup>) and DCRCs were about
2 times higher than those from the second half of the measurement period. The
concentration of levoglucosan, a biomass burning tracer, decreased by about
80&thinsp;% between 2006 and 2014, indicating that biomass burning may have
decreased between 2006 and 2014.</p></abstract-html>
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