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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-19-9641-2019</article-id><title-group><article-title>Seasonal differences in formation processes of oxidized organic aerosol near
Houston, TX</article-title><alt-title>Seasonal differences in formation processes of oxidized OA near
Houston</alt-title>
      </title-group><?xmltex \runningtitle{Seasonal differences in formation processes of oxidized OA near
Houston}?><?xmltex \runningauthor{Q. Dai et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Dai</surname><given-names>Qili</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9534-2887</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Schulze</surname><given-names>Benjamin C.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Bi</surname><given-names>Xiaohui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bui</surname><given-names>Alexander A. T.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1205-1564</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Guo</surname><given-names>Fangzhou</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3854-038X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff6">
          <name><surname>Wallace</surname><given-names>Henry W.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sanchez</surname><given-names>Nancy P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Flynn</surname><given-names>James H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff7">
          <name><surname>Lefer</surname><given-names>Barry L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9520-5495</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Feng</surname><given-names>Yinchang</given-names></name>
          <email>fengyc@nankai.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-6014-5258</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff4">
          <name><surname>Griffin</surname><given-names>Robert J.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>State Environmental Protection Key Laboratory of Urban Ambient Air
Particulate Matter Pollution Prevention and Control, College of
Environmental Science and Engineering, Nankai University, Tianjin 300350,
China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Civil and Environmental Engineering, Rice University,
Houston, TX 77005, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth and Atmospheric Sciences, University of
Houston, Houston, TX 77004, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Chemical and Biomolecular Engineering, Rice
University, Houston, TX 77005, USA</institution>
        </aff>
        <aff id="aff5"><label>a</label><institution>now at: Department of Environmental Science and Engineering,
California Institute of Technology, <?xmltex \hack{\break}?>Pasadena, CA 91125, USA</institution>
        </aff>
        <aff id="aff6"><label>b</label><institution>now at: Washington State Department of Ecology, Lacey, WA
98503, USA</institution>
        </aff>
        <aff id="aff7"><label>c</label><institution>now at: Division of Tropospheric Composition, NASA,
Washington, DC 20024, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Yinchang Feng (fengyc@nankai.edu.cn)</corresp></author-notes><pub-date><day>31</day><month>July</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>14</issue>
      <fpage>9641</fpage><lpage>9661</lpage>
      <history>
        <date date-type="received"><day>6</day><month>December</month><year>2018</year></date>
           <date date-type="rev-request"><day>12</day><month>December</month><year>2018</year></date>
           <date date-type="rev-recd"><day>7</day><month>June</month><year>2019</year></date>
           <date date-type="accepted"><day>18</day><month>June</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e215">Submicron aerosol was measured to the southwest of Houston, Texas, during
winter and summer 2014 to investigate its seasonal variability. Data from a
high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS)
indicated that organic aerosol (OA) was the largest component of
nonrefractory submicron particulate matter (NR-PM<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>) (on average, 38 % <inline-formula><mml:math id="M2" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13 % and 47 % <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18 % of the NR-PM<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass loading in
winter and summer, respectively). Positive matrix factorization (PMF)
analysis of the OA mass spectra demonstrated that two classes of oxygenated
OA (less- and more-oxidized OOA, LO and MO) together dominated OA mass in
summer (77 %) and accounted for 39 % of OA mass in winter. The fraction
of LO-OOA (out of total OOA) is higher in summer (70 %) than in winter
(44 %). Secondary aerosols (sulfate <inline-formula><mml:math id="M5" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> nitrate <inline-formula><mml:math id="M6" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ammonium <inline-formula><mml:math id="M7" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OOA) accounted
for <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">76</mml:mn></mml:mrow></mml:math></inline-formula> % and 88 % of NR-PM<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass in winter and
summer, respectively, indicating NR-PM<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass was driven mostly by
secondary aerosol formation regardless of the season. The mass loadings and
diurnal patterns of these secondary aerosols show a clear winter–summer
contrast. Organic nitrate (ON) concentrations were estimated using the
<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio method, with contributions of 31 %–66 % and 9 %–17 % to
OA during winter and summer, respectively. The estimated ON in summer
strongly correlated with LO-OOA (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.73</mml:mn></mml:mrow></mml:math></inline-formula>) and was enhanced at nighttime.</p>
    <p id="d1e326">The relative importance of aqueous-phase chemistry and photochemistry in
processing OOA was investigated by examining the relationship of aerosol
liquid water content (LWC) and the sum of ozone (<inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and nitrogen
dioxide (<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M16" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) with LO-OOA and MO-OOA.
The processing mechanism of LO-OOA apparently was related to relative
humidity (RH). In periods of RH <inline-formula><mml:math id="M18" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 80 %, aqueous-phase chemistry
likely played an important role in the formation of wintertime LO-OOA,
whereas photochemistry promoted the formation of summertime LO-OOA. For
periods of high RH <inline-formula><mml:math id="M19" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 80 %, these effects were opposite those of
low-RH periods. Both photochemistry and aqueous-phase processing appear to
facilitate increases in MO-OOA concentration except during periods of high
LWC, which is likely a result of wet removal during periods of light rain or a negative impact on its formation rate.</p>
    <p id="d1e402">The nighttime increases in MO-OOA during winter and summer were 0.013 and
0.01 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC, respectively. The increase in LO-OOA
was larger than that for MO-OOA, with increase rates of 0.033 and 0.055 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC at night during winter and summer, respectively. On average, the mass concentration of LO-OOA in summer was
elevated by nearly 1.2 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M25" 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 a <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20<?pagebreak page9642?></mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g
change in LWC, which was accompanied by a 40 ppb change in <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e496">Tropospheric particulate matter (PM) has adverse effects on air quality,
visibility and ecosystems and participates in climate forcing (Watson,
2002; Grantz et al., 2003; Racherla and Adams, 2006; Tai et al., 2010; Liu
et al., 2017). The various effects of PM depend on its physical, chemical
and optical properties, which are determined by its emission, formation and
evolution/aging processes. Atmospheric PM can either be directly emitted
from primary sources (fossil fuel combustion, soil dust, sea salt, biomass
burning, etc.) or formed through chemical reactions of gaseous precursors,
as is the case for secondary inorganic sulfate (<inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) and nitrate
(<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and secondary organic aerosol (SOA). Understanding the
source contributions and formation pathways of PM is essential for
mitigating its effects (Jimenez et al., 2009).</p>
      <p id="d1e528">Houston, TX, is of great interest to the scientific community with respect
to air quality) as it is the fourth most populous city in the United States (US) and is
well known for its energy and chemical industries. Numerous efforts, from
modeling (McKeen et al., 2009; Li et al., 2015; Ying et al., 2015) to field
measurements (for example, TexAQS 2000 and II, Bates et al., 2008; Parrish
et al., 2009; Atkinson et al., 2010; Go-MACCS, McKeen et al., 2009; Parrish
et al., 2009; TRAMP2006, Mao et al., 2010; Cleveland et al., 2012; GC-ARCH, Allen and Fraser, 2006; SHARP, Olaguer et al., 2014; and DISCOVER-AQ, Bean et al., 2016; Leong et al., 2017) have been made in the Houston
metropolitan area during the past two decades, providing critical insights
into our understanding of air quality and atmospheric chemistry with respect
to the sources and formation of PM. Previous field campaigns underscore that
OA accounts for a major fraction of nonrefractory submicron PM
(NR-PM<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>) in Houston (Bates et al., 2008; Russell et al., 2009;
Cleveland et al., 2012; Brown et al., 2013; Bean et al., 2016; Leong et al.,
2017; Wallace et al., 2018). The spatial variation of NR-PM<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> in
Houston was investigated by Leong et al. (2017), who divided greater Houston
into two zones based on marked differences in NR-PM<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> levels,
characteristics and dynamics measured at 16 sampling locations. Zone 1 is
northwest of Houston and is dominated by SOA, likely driven by nighttime
biogenic organic nitrate (ON) formation. Intensive attention has been paid
recently to such anthropogenic–biogenic interactions (Bahreini et al., 2009;
Bean et al., 2016). Zone 2 is the industrial/urban area south/east of
Houston. Wallace et al. (2018) found mobile source exhaust and petrochemical
emissions likely are the most important factors impacting the NR-PM<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
and trace gases at a site in Zone 2.<?xmltex \hack{\newpage}?></p>
      <p id="d1e568">Formation of SOA in clouds and the aqueous phase of aerosol particles has
been reported worldwide (Lim et al., 2010; Ervens et al., 2011; Xu et al.,
2017). Given that both photochemical oxidation and aqueous-phase chemistry
are conducive to the formation of SOA, it is of interest to compare the
relative importance of photochemistry and aqueous-phase chemistry for SOA
formation in different seasons. The roles of photochemistry and
aqueous-phase processing on SOA formation and evolution in different seasons
in Beijing have been investigated by Hu et al. (2016) and Xu et al. (2017).
Generally, aqueous-phase processing has a dominant influence on the
formation of more-oxidized SOA, and photochemistry plays a major role in the
formation of less-oxidized SOA in summer and winter in Beijing, while the
relative importance of these two pathways in the formation processes of SOA
in autumn is different from those in summer and winter. The relative roles
of aqueous-phase and photochemical processes in the formation of SOA likely
vary with location and time. The seasonal differences in the spectral
patterns, oxidation degrees and contributions of SOA may result from
different volatile organic compound (VOC) precursors, meteorological
conditions and atmospheric oxidizing capacity, which are not well understood
in Houston, particularly in different seasons.</p>
      <p id="d1e571">This study presents observations of NR-PM<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> from two high-resolution
time-of-flight aerosol mass spectrometer (HR-ToF-AMS) measurement campaigns
conducted during the winter and summer of 2014 at a site in the suburbs of
Houston, where industrial and vehicular emission sources and photochemical
processes are likely to play an important role in NR-PM<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> formation
(Leong et al., 2017). In addition to local emissions, this site was possibly
impacted by regional marine aerosol transported from the Gulf of Mexico
(Schulze et al., 2018). The aims of this work are to (1) investigate the
seasonal characteristics of NR-PM<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> in the Houston area, (2) characterize the primary and secondary sources by applying positive matrix
factorization (PMF) analysis to the measured OA mass spectra, and (3) evaluate the seasonal dependence of SOA composition and formation, with a
main focus on the relative effects of photochemistry and aqueous-phase
chemistry.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sampling site and campaigns</title>
      <?pagebreak page9643?><p id="d1e616">Instrumentation was deployed in the University of Houston–Rice University
Mobile Air Quality Laboratory (MAQL), as described in Leong et al. (2017)
and Wallace et al. (2018). The winter campaign was conducted from 3 to 17 February 2014, and the summer campaign was conducted from 1
to 31 May 2014. The measurement site was located on the campus of
the University of Houston at Sugar Land (UHSL) (29.5740<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
95.6518<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W). The campus is situated southwest of downtown and the
Houston Ship Channel (HSC). The map of the measurement site is presented in
Fig. S1 in the Supplement. The nearby interstate highway
(I-69) extends to the west of downtown and serves as a major traffic
emission source. The WA Parish Generating Station, a coal-fired power
plant that is the largest electricity-generating facility in Texas, is
<inline-formula><mml:math id="M40" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 km south of the site (Fig. S1). The data collected in
the winter campaign are limited in duration; thus, the following discussion
focuses primarily on the summer campaign.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Measurements</title>
      <p id="d1e652">The data used in this paper are reported in local time, which is 6 and 5 h behind Universal Coordinated Time in winter and summer, respectively.
The details regarding the instrumental setup and data processing of these
measurements were the same as described in Wallace et al. (2018). The
NR-PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> composition was measured using an Aerodyne HR-ToF-AMS (DeCarlo
et al., 2006; Canagaratna et al., 2007). A PM<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> Teflon<sup>®</sup>-coated cyclone inlet was installed above the MAQL at a height of 6 m above
ground to remove coarse particles and to introduce air into the sampling
line at a rate of 16.7 SLPM. A Nafion dryer (Perma Pure, LLC) was mounted
upstream of the HR-ToF-AMS to dry the sample to below 45 % relative
humidity (RH). Particles are focused into a narrow beam via an aerodynamic
lens and accelerated under high vacuum into the particle sizing measurement
chamber. After passing the particle sizing chamber, the nonrefractory
components are flash vaporized at near 600 <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and ionized using electron
impact at 70 eV. Ionized mass fragments are then transmitted directly into
the time-of-flight region so that the mass spectra can be obtained. In this
study, the HR-ToF-AMS was operated in V mode to obtain the
nonrefractory chemical components with a higher sensitivity and lower mass
spectral resolution compared to the W mode. Ionization efficiency (IE)
calibration was performed using monodisperse ammonium nitrate (<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
at the beginning and end of each campaign. Filtered ambient air was sampled
every 2 days for approximately 20 to 30 min to provide a baseline of
signal for the HR-ToF-AMS during campaigns. The detection limits (Table S1) were calculated by multiplying the standard deviations of the
filter periods by 3.</p>
      <p id="d1e701">Trace gas mixing ratios and meteorological parameters also were measured on
the MAQL during the campaigns. Carbon monoxide (CO) was measured with
high-resolution cavity enhanced direct-absorption spectroscopy (Los Gatos
Research, Inc.), and sulfur dioxide (<inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was quantified using a pulsed fluorescence analyzer (ThermoFischer Scientific, model 43i-TLE). Nitric oxide (NO) and nitrogen dioxide (<inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were measured with a
chemiluminescence monitor with an ultraviolet-light-emitting-diode <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolytic converter on the <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> channel (AQD, Inc.) The total reactive nitrogen (<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was measured with a Thermo 49c-TL with a heated
molybdenum inlet converter. Ozone (<inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) mixing ratio was measured with
ultraviolet absorption (2BTech, Inc., model 205). Meteorological parameters
including ambient temperature, solar radiation, RH, wind speed (WS) and
wind direction (WD) were measured using an RM Young meteorological station.
Precipitation totals from a nearby Texas Commission on Environmental Quality
(TCEQ) monitoring site (EPA Site: 48_157_0696)
were downloaded from the TCEQ website. The total cloud cover data were
downloaded from the READY Archived Meteorology website of the National
Oceanic and Atmospheric Administration.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Data processing</title>
      <p id="d1e779">The HR-ToF-AMS data analysis was performed using SQUIRREL version 1.56A and PIKA version 1.19D in Igor Pro 6.37 (Wave Metrics Inc.). The relative IEs were applied
to OA (1.4), <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (1.2), <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (1.1), <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
(4.0) and chloride (<inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, 1.3) following the standard data analysis
procedures. The composition-dependent collection efficiency was applied to
the data based on Middlebrook et al. (2012). Elemental ratios (H <inline-formula><mml:math id="M55" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C, O <inline-formula><mml:math id="M56" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and
N <inline-formula><mml:math id="M57" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C, where H is hydrogen, C is carbon, and N is nitrogen) and the ratio of
organic mass to organic carbon (OM <inline-formula><mml:math id="M58" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC) were generated using the procedures
described by Canagaratna et al. (2015). Example data are shown in Fig. S2.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Quantification of the contributions of ON</title>
      <p id="d1e871">The mass loading of <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> measured by HR-ToF-AMS includes both
organic and inorganic <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. The fragmentation ratio of
<inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio) is different for ON and inorganic <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (Farmer et al., 2010; Fry et al., 2013), and the <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> mass loadings for ON (<inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and NO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mtext>ON</mml:mtext></mml:msub></mml:math></inline-formula>)
can be estimated using the method proposed by Farmer et al. (2010):
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M69" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">obs</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M70" display="block"><mml:mrow><mml:msub><mml:mtext>NO</mml:mtext><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>obs</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the ambient <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio (0.531 and 0.260 for the
winter and summer campaign, respectively; see Fig. S3 for details).
<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio of
<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is determined by IE calibration using monodisperse
<inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> before and after the campaigns. The average of the two IE calibrations was used as the <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for the
campaign (0.588 and 0.381 for the winter and summer campaigns,
respectively), which is comparable with the value reported elsewhere (Xu et
al., 2015; Zhu et al., 2016). The value of <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is hard to determine
because it varies with instruments and precursor VOCs (Fry et al., 2013).
Previous studies found that isoprene was the main biogenic VOC (BVOC) in
Houston (Leuchner and Rappengluck, 2010; Kota et al., 2014),<?pagebreak page9644?> and Brown et
al. (2013) reported that monoterpenes and isoprene were frequently present
within the nocturnal boundary layer in the Houston area and underwent rapid
oxidation, mainly by nitrate radical (denoted as <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> with a dot to
differentiate it from aerosol <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>). Given the abundance of
monoterpene and isoprene in the Houston area, similar to Xu et al. (2015),
we assume organic nitrates formed via isoprene and beta-pinene oxidation are
representative. Fry et al. (2013) assumed that the <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value is instrument-independent and further estimated
the average <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of 2.25 for the organic nitrate standards. The <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values vary with precursor
VOC. We utilized the <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of isoprene (2.08, Bruns et al., 2010) and
beta-pinene organic nitrates (3.99, Boyd et al., 2015) from the literature
to obtain an estimation range of <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> by using the <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> method.</p>
      <p id="d1e1398">The measured <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio can be used to separately quantify
ammonium and organic nitrates as
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M88" display="block"><mml:mrow><mml:msub><mml:mtext>ON</mml:mtext><mml:mtext>frac</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>ON</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>obs</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The nitrate functionality from organic nitrate was calculated as
              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M89" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mtext>ON</mml:mtext><mml:mtext>frac</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Thus, the nitrate functionality from inorganic nitrate (assuming
<inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the solely important inorganic nitrate in the submicron
mode) can be calculated as
              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M91" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mtext>ON</mml:mtext><mml:mtext>frac</mml:mtext></mml:msub></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The accurate estimation of the total mass of ON via this method is uncertain
as the actual molecular weight of the particle-phase species is unclear. The
mass range of ON is estimated by assuming that the average molecular weights
of organic molecules with nitrate functional groups are 200 to 300 g mol<inline-formula><mml:math id="M92" 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> (Surratt et al., 2008; Rollins et al., 2012). Previous work found that the <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> reaction with monoterpenes resulted in significant SOA
formation and that a hydroperoxy nitrate (C<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">17</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>) was
likely a major <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>-oxidized terpene product in the southeastern US
(Ayres et al., 2015). Here, we use the molecular weight of
<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (231 g mol<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) to calculate the ON mass.
Example periods of significant ON contribution to PM are given in Fig. S4.
While the values of ON concentration estimated using this method are
presented in the text, the result of estimated ON including uncertainties is
available in Table S2.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>PMF analysis</title>
      <p id="d1e1711">The PMF technique has been used widely for source apportionment (Paatero and
Tapper, 1994), including with HR-TOF-AMS data (Ulbrich et al., 2009; Zhang
et al., 2011). The high-resolution NR-PM<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> OA mass spectra matrix
(mass-to-charge ratio, <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">130</mml:mn></mml:mrow></mml:math></inline-formula>) and the associated error
matrix obtained by using PIKA version 1.19 D were used for PMF analysis. Data were
prepared according to the protocol proposed by Ulbrich et al. (2009) and
Zhang et al. (2011) prior to PMF analysis. The PMF model was used to
decompose the measured OA mass spectra matrix by solving
              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M103" display="block"><mml:mrow><mml:mi mathvariant="bold">X</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">GF</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">E</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>J</mml:mi></mml:msubsup><mml:msub><mml:mi mathvariant="bold">G</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="bold">F</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold">E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M104" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula> is the <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>×</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula> matrix of measurement data, the <inline-formula><mml:math id="M106" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> rows of <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula> are
the OA mass spectra measured at each time step, the <inline-formula><mml:math id="M108" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> columns of <inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula> are the
time series of each organic <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> is the number of factors. <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">G</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is
the matrix that denotes the contributions of factor <inline-formula><mml:math id="M113" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> at time step <inline-formula><mml:math id="M114" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, and
<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">F</mml:mi><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the factor mass spectral profiles. <inline-formula><mml:math id="M116" display="inline"><mml:mi mathvariant="bold">E</mml:mi></mml:math></inline-formula> is the residual
matrix. The least-squares algorithm is used to fit the data to minimize
iteratively a quality of fit parameter, <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="bold">Q</mml:mi></mml:math></inline-formula>:
              <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M118" display="block"><mml:mrow><mml:mi mathvariant="bold">Q</mml:mi><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>I</mml:mi></mml:munder><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>J</mml:mi></mml:munder><mml:mo>(</mml:mo><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the matrix of estimated errors of the data.</p>
      <p id="d1e2016">Solutions using PMF with two to seven factors were explored. The best solution
with the optimum number of factors was evaluated carefully using an open-source PMF evaluation tool (PET version 2.08D, Ulbrich et al., 2009) following
the procedures described in Zhang et al. (2011). Selection criteria included
(1) variation of the ratio of <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="bold">Q</mml:mi></mml:math></inline-formula> to expected <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">Q</mml:mi><mml:mi>exp⁡</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mi>n</mml:mi><mml:mo>-</mml:mo><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the degrees
of freedom of the fitted data, Paatero et al., 2002) after adding an
additional factor, (2) agreement between the reconstructed OA mass
concentrations and the measured concentrations, (3) scaled residuals for the
different ion fragments included in the dataset and variations of the
residual of the solution as a function of time, (4) agreement between factor
time series and time series of external tracers/individual ions, and (5) examination of factor profiles. The last two are considered to determine the physical meaningfulness of the factors. The PMF solution with factor numbers greater than five and four for winter and summer dataset, respectively,
yielded no new distinct and physical meaningful factors. The <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi mathvariant="bold">Q</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="bold">Q</mml:mi><mml:mi>exp⁡</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
the factors obtained for different FPEAK (from <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to 1 with a step value of
0.2) values resulted in a small difference in the OA components. Because of
the lowest <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mi mathvariant="bold">Q</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="bold">Q</mml:mi><mml:mi>exp⁡</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and because the use of FPEAK values different from 0
did not improve the correlations between PMF factors and potentially
associated tracers, the five- and four-factor solutions with FPEAK <inline-formula><mml:math id="M126" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 can
be well interpreted in winter and summer, respectively. The convergence of
the PMF model containing five and four factors was examined by running each
model from 15 different starting values (SEEDs 0–30 with a step value
of 2). The small variation observed in <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mi mathvariant="bold">Q</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="bold">Q</mml:mi><mml:mi>exp⁡</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the mass fraction of
different factors as SEED changed indicate the solutions were stable. As a
result, SEED 0 was chosen for the final solution. The factors were
interpreted as hydrocarbon-like OA (HOA), biomass burning OA (BBOA), cooking
OA (COA, identified only in the winter campaign), and two oxidized OAs – named less-oxygenated (LO-) OOA and<?pagebreak page9645?> more-oxygenated (MO-) OOA. The data
treatment, factor selection and interpretation are detailed in the Supplement. As
suggested by El-Sayed et al. (2016), drying of aerosol water may have led to
the evaporation of condensed-phase organics. Thus, the resolved mass
concentrations of OA factors here are a lower-bound, conservative estimate
due to losses of aqueous-SOA in the dryer element.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Estimation of aerosol liquid water content (LWC)</title>
      <p id="d1e2132">Aerosol LWC includes water associated with inorganic aerosol and OA, which
were calculated using a thermodynamic model and an empirical method,
respectively. Inorganic LWC (<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>i</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) in moles per liter (mol L<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) was predicted by
ISORROPIA-II in forward mode (Fountoukis and Nenes, 2007). Inputs for
ISORROPIA-II include inorganic aerosol mass concentrations (<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
inorganic <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) and meteorological parameters (temperature and RH). Calculation of empirical organic LWC (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>O</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) follows
(Petters and Kreidenweis, 2007; Guo et al., 2015)
              <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M134" display="block"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mtext>O</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>org</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>w</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>org</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mtext>org</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mtext>RH</mml:mtext><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>org</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the organic mass concentration (<inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M137" 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>) and
<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>w</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the density of water (1 g cm<inline-formula><mml:math id="M139" 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 organic density (<inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>org</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, g cm<inline-formula><mml:math id="M141" 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>) was estimated using an empirical equation based
on elemental ratios (Kuwata et al., 2012; Guo et al., 2015):
              <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M142" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mtext>org</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>×</mml:mo><mml:mfenced open="[" close="]"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>+</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mtext>H</mml:mtext><mml:mtext>C</mml:mtext></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">16</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mtext>O</mml:mtext><mml:mtext>C</mml:mtext></mml:mfrac></mml:mstyle></mml:mrow><mml:mrow><mml:mn mathvariant="normal">7.0</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mtext>H</mml:mtext><mml:mtext>C</mml:mtext></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.15</mml:mn><mml:mo>×</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mtext>O</mml:mtext><mml:mtext>C</mml:mtext></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The hygroscopicity of SOA generated during chamber studies under
subsaturated regimes depends on the OA degree of oxidation (Prenni et al.,
2007; Jimenez et al., 2009; Petters et al., 2009; Chang et al., 2010). A
simple linear relationship between the OA degree of oxidation (defined as
the fraction of the total signal at <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44, <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and hygroscopicity
(<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mtext>org</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is used (Duplissy et al., 2011):
              <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M146" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">κ</mml:mi><mml:mtext>org</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The total LWC is then found by summing the water content associated with
each mass fraction:
              <disp-formula id="Ch1.E11" content-type="numbered"><label>11</label><mml:math id="M147" display="block"><mml:mrow><mml:mtext>LWC</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>W</mml:mi><mml:mtext>i</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>W</mml:mi><mml:mtext>O</mml:mtext></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e2505">Time series of data collected at UHSL in Houston during
the sampling periods in winter and summer 2014. Time series of 5 min average
campaign data for <bold>(a, f)</bold> ambient temperature (<inline-formula><mml:math id="M148" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), relative humidity
(RH) and total cloud cover (%, with 3 h interval); <bold>(b, g)</bold> precipitation and wind direction (WD), with colors showing different wind
speeds (WS); <bold>(c, h)</bold> CO, <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; <bold>(d, i)</bold> <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and solar radiometer; <bold>(e, j)</bold> NR-PM<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species, including OA, <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f01.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2665">Statistics of meteorological parameters, gas-phase
pollutants, NR-PM<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species and PMF OA factors for the winter and
summer campaigns at UHSL.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <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 namest="col1" nameend="col2">Variables </oasis:entry>
         <oasis:entry colname="col3">Season</oasis:entry>
         <oasis:entry colname="col4">Ave. value <inline-formula><mml:math id="M163" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 SD</oasis:entry>
         <oasis:entry colname="col5">Minimum value</oasis:entry>
         <oasis:entry colname="col6">Maximum value</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Meteorological parameters</oasis:entry>
         <oasis:entry colname="col2">Temp. (<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">9.3 <inline-formula><mml:math id="M165" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.0</oasis:entry>
         <oasis:entry colname="col5">0.7</oasis:entry>
         <oasis:entry colname="col6">25.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">23.6 <inline-formula><mml:math id="M166" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.8</oasis:entry>
         <oasis:entry colname="col5">12.2</oasis:entry>
         <oasis:entry colname="col6">33.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">RH (%)</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">76 <inline-formula><mml:math id="M167" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18</oasis:entry>
         <oasis:entry colname="col5">23</oasis:entry>
         <oasis:entry colname="col6">99</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">72 <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19</oasis:entry>
         <oasis:entry colname="col5">21</oasis:entry>
         <oasis:entry colname="col6">98</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">WS (m s<inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">2.1 <inline-formula><mml:math id="M170" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">9.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">2.1 <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">6.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Radiometer (W m<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.6 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>
         <oasis:entry colname="col5">0.02</oasis:entry>
         <oasis:entry colname="col6">3.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">1.1 <inline-formula><mml:math id="M176" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3</oasis:entry>
         <oasis:entry colname="col5">0.02</oasis:entry>
         <oasis:entry colname="col6">4.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Gas-phase pollutants (ppb)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">23.0 <inline-formula><mml:math id="M178" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.6</oasis:entry>
         <oasis:entry colname="col5">0.12</oasis:entry>
         <oasis:entry colname="col6">53.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">34.9 <inline-formula><mml:math id="M179" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.3</oasis:entry>
         <oasis:entry colname="col5">0.02</oasis:entry>
         <oasis:entry colname="col6">75.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CO</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">238.7 <inline-formula><mml:math id="M180" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 71.9</oasis:entry>
         <oasis:entry colname="col5">98.5</oasis:entry>
         <oasis:entry colname="col6">621.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">168.3 <inline-formula><mml:math id="M181" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 75.5</oasis:entry>
         <oasis:entry colname="col5">103.6</oasis:entry>
         <oasis:entry colname="col6">1110.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">1.0 <inline-formula><mml:math id="M183" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">29.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.7 <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">30.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NO</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">4.3 <inline-formula><mml:math id="M187" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.4</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">74.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">1.3 <inline-formula><mml:math id="M189" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.6</oasis:entry>
         <oasis:entry colname="col5">0.01</oasis:entry>
         <oasis:entry colname="col6">68.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">12.5 <inline-formula><mml:math id="M191" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.7</oasis:entry>
         <oasis:entry colname="col5">0.8</oasis:entry>
         <oasis:entry colname="col6">101.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">4.6 <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.4</oasis:entry>
         <oasis:entry colname="col5">0.2</oasis:entry>
         <oasis:entry colname="col6">44.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">22.9 <inline-formula><mml:math id="M194" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19.6</oasis:entry>
         <oasis:entry colname="col5">2.8</oasis:entry>
         <oasis:entry colname="col6">210.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">8.6 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.9</oasis:entry>
         <oasis:entry colname="col5">1.3</oasis:entry>
         <oasis:entry colname="col6">123.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NR-PM<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M198" 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:entry colname="col2">OA</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">2.3 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>
         <oasis:entry colname="col5">0.42</oasis:entry>
         <oasis:entry colname="col6">9.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">1.7 <inline-formula><mml:math id="M200" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>
         <oasis:entry colname="col5">0.27</oasis:entry>
         <oasis:entry colname="col6">12.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Sulfate</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">1.4 <inline-formula><mml:math id="M201" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">3.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">1.3 <inline-formula><mml:math id="M202" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col5">0.02</oasis:entry>
         <oasis:entry colname="col6">5.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Nitrate</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">1.4 <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4</oasis:entry>
         <oasis:entry colname="col5">0.02</oasis:entry>
         <oasis:entry colname="col6">6.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.08 <inline-formula><mml:math id="M204" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1</oasis:entry>
         <oasis:entry colname="col5">0.01</oasis:entry>
         <oasis:entry colname="col6">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Ammonium</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.9 <inline-formula><mml:math id="M205" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col5">BDL<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">2.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.5 <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2</oasis:entry>
         <oasis:entry colname="col5">0.02</oasis:entry>
         <oasis:entry colname="col6">1.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Chloride</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.06 <inline-formula><mml:math id="M208" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09</oasis:entry>
         <oasis:entry colname="col5">BDL</oasis:entry>
         <oasis:entry colname="col6">1.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.02 <inline-formula><mml:math id="M209" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col5">BDL</oasis:entry>
         <oasis:entry colname="col6">0.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">OA factors <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M211" 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:entry colname="col2">HOA</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.3 <inline-formula><mml:math id="M212" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4</oasis:entry>
         <oasis:entry colname="col5">0<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">8.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.2 <inline-formula><mml:math id="M214" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">10.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">BBOA</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.6 <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">3.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.1 <inline-formula><mml:math id="M216" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">5.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">COA</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.5 <inline-formula><mml:math id="M217" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">4.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">LO-OOA</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.4 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">2.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.7 <inline-formula><mml:math id="M219" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">6.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">MO-OOA</oasis:entry>
         <oasis:entry colname="col3">Winter</oasis:entry>
         <oasis:entry colname="col4">0.5 <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">1.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Summer</oasis:entry>
         <oasis:entry colname="col4">0.3 <inline-formula><mml:math id="M221" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2</oasis:entry>
         <oasis:entry colname="col5">0</oasis:entry>
         <oasis:entry colname="col6">1.6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2677"><inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> BDL: below detection limit. <inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> Statistically determined factor
concentrations with values below <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are listed as 0.</p></table-wrap-foot></table-wrap>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Temporal dependences of submicron aerosol composition</title>
      <p id="d1e4082">Campaign overview data for winter and summer are shown in Table 1 and Fig. 1. This includes meteorological parameters (e.g., temperature, RH,
radiometer, precipitation, wind direction and speed), trace gases (e.g., CO,
<inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and chemically resolved NR-PM<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>
concentrations.</p>
      <p id="d1e4127">Data indicate that the average concentration of NR-PM<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> during the winter
campaign was 6.0 <inline-formula><mml:math id="M227" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.7 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M229" 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>, ranging from 0.5 to 14.8 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M231" 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>. Mass loadings of NR-PM<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> at this measurement site
are relatively smaller than at a site near the HSC in winter 2015 (10.8 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M234" 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>, Wallace et al., 2018), perhaps suggesting a weaker industrial influence at the UHSL site.</p>
      <p id="d1e4216">The average concentration of NR-PM<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> during summer was 3.6 <inline-formula><mml:math id="M236" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M238" 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>, ranging from 0.3 to 13.7 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M240" 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
comparison, a summer campaign in 2006 on an elevated building near downtown
Houston showed an average NR-PM<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> concentration of approximately 11 <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M243" 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> (Cleveland et al., 2012). An elevated NR-PM<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> episode was
observed from 28 to 31 May (Fig. 1j), with high solar radiation and <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M247" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) levels during the daytime, and high RH at night, resulting in OA becoming the largest fractional species, likely due
to gas-phase photochemical production of SOA together with the nighttime
increase in SOA associated with high RH, lowered boundary layer and cooler
temperatures.</p>
      <p id="d1e4362">In winter, OA was the largest component of NR-PM<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, accounting for 38 % <inline-formula><mml:math id="M250" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13 % on average of the total mass, followed by <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (23 % <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 %), <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (23 % <inline-formula><mml:math id="M254" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11 %), <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (15 % <inline-formula><mml:math id="M256" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %) and <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (1 % <inline-formula><mml:math id="M258" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 %) (Fig. 2). Primary OA
(POA <inline-formula><mml:math id="M259" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> HOA <inline-formula><mml:math id="M260" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BBOA <inline-formula><mml:math id="M261" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> COA) was responsible for 61 % <inline-formula><mml:math id="M262" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19 % of OA mass.
Secondary species
(<inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">LO</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">OOA</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">MO</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">OOA</mml:mi></mml:mrow></mml:math></inline-formula>)
accounted for <inline-formula><mml:math id="M264" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 76 % <inline-formula><mml:math id="M265" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21 % of NR-PM<inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass, which
is higher than that in winter in Seoul (Kim et al., 2017) and Beijing (Hu et
al., 2016).</p>
      <p id="d1e4568">In contrast to winter, OA during the summer campaign constituted on average
47 % <inline-formula><mml:math id="M267" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18 % of NR-PM<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass, and <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was the second
largest component (36 % <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 %), followed by <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (14 % <inline-formula><mml:math id="M272" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %). <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> only accounted for 2 % <inline-formula><mml:math id="M274" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 % of
NR-PM<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass in the summer, and <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> contributed 1 % <inline-formula><mml:math id="M277" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 %
of NR-PM<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass. The increased planetary boundary layer (PBL) height in
summer (Haman et al., 2012) likely contributed to relatively lower trace gas
and NR-PM<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> levels in the summer. Secondary species contributed
<inline-formula><mml:math id="M280" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 88 % <inline-formula><mml:math id="M281" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 % of NR-PM<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass, indicating that the
relative importance of secondary aerosol formation increased during summer
as compared to winter, especially for species such as <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and
MO-OOA.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e4738">Average composition of NR-PM<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species and OA factors
during the winter <bold>(a, c)</bold> and summer campaign <bold>(b, d)</bold> at
UHSL.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f02.jpg"/>

        </fig>

      <p id="d1e4762">The total OA displayed high values during the nighttime hours in both winter
and summer, maintaining a high level until morning rush hour and then
decreasing to a minimum value after 09:00 (Fig. 3). The summertime OA
presented a small peak at noon, suggesting that photochemical formation of
OA played a more important role in summer than in winter. Increasing ambient
temperature and PBL height after sunrise causes repartitioning to the gas
phase, likely contributing to the decrease in OA, LO-OOA and ON during
daytime.</p>
      <?pagebreak page9646?><p id="d1e4765">Contributions of PMF factors to wintertime and summertime OA show
significant differences. For wintertime OA, on average, BBOA contributed to
26 % of OA mass; MO-OOA and COA made the same contributions of 22 % to total OA mass. The LO-OOA accounted for 17 % of OA mass, followed by HOA (13 %). The POA constituted more than half of OA mass (61 %), with the remainder being OOA (39 %). In the summer, LO-OOA represented the largest fraction of the OA mass (54 % on average), followed by MO-OOA
(23 %), HOA (15 %) and BBOA (8 %). In the case of summer, OOA
constituted 77 % of OA and 36 % of total NR-PM<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass, which are
almost 2 times their relative contributions in winter. The time series of
mass concentrations of NR-PM<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species (Fig. 1) and OA factors (Fig. 4)
in summer were relatively stable and repeatable, while they varied
dramatically in winter due to the different meteorological conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e4788">Diurnal profiles of the five NR-PM<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species (OA,
<inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), PMF-resolved
factors (HOA, BBOA, COA, LO-OOA and MO-OOA), radiometer, <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and elemental ratios (H <inline-formula><mml:math id="M295" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C, O <inline-formula><mml:math id="M296" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C, OM <inline-formula><mml:math id="M297" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC and N <inline-formula><mml:math id="M298" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C). Lines denote the
mean value, and bars represent the 5 % and 95 % confidence interval in the
mean (blue for winter, green for summer).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f03.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Seasonal variation of the formation of sulfate and nitrate</title>
      <?pagebreak page9647?><p id="d1e4934">During the summer campaign, the prevailing southerly winds from the Gulf of
Mexico carry marine aerosols to Houston (Schulze et al., 2018), resulting in
a relatively high fraction of <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>. As shown in Fig. 1g and j, the
increased contribution of <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> occurred when winds originated
from the south at a high speed (e.g., 16–27 May), while the contribution of
<inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> decreased significantly when winds originated from the north
(e.g., 10 May and 13–15 May). During periods of southerly winds, O <inline-formula><mml:math id="M302" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C
and OM <inline-formula><mml:math id="M303" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> OC were relatively higher (Fig. S2c). In addition, elevated
<inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes were recorded during periods of southerly winds (Fig. 1g, h), potentially as a result of emissions from the Parish coal-fired power plant. In contrast to <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, the fractional contribution of
<inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and OA increased greatly when the winds were not southerly.
Primary pollutants such as CO and <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were elevated when winds were
northerly (Fig. 1h), accompanied by lower O <inline-formula><mml:math id="M308" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C and higher H <inline-formula><mml:math id="M309" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C ratios during
the corresponding periods (Fig. S2c, e.g., 1, 2, 10, 15 May).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e5067">Time series of each OA factor and associated correlated
species for the winter and summer campaign at UHSL.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f04.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e5078">Diurnal profiles of the estimated range of nitrate
functionality from organic nitrate <bold>(a)</bold> and inorganic nitrate <bold>(b)</bold> for the winter and summer campaigns. Estimated water associated
with inorganic and organic aerosol for the winter <bold>(c)</bold> and summer
campaigns <bold>(d)</bold>. Solid lines denote the mean value (blue for winter,
green for summer), and bars represent the 5 % and 95 % confidence interval
in the mean.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f05.jpg"/>

        </fig>

      <p id="d1e5100">Diurnal patterns of NR-PM<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and other species in the winter and summer
(Fig. 3) suggest significant seasonal dependence of sources and formation
processes of NR-PM<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> species in Houston. In the case of <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,
the diurnal pattern displayed a daytime peak in both winter and summer, with
the peak much more pronounced in summer midday. In winter, the <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(mole ratio of [<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>] to the sum of [<inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] and
[<inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>]) and LWC have concurrent peak values during the night
(Fig. 5). However, there is no obvious correlation between <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and LWC in summer, though a moderate correlation (<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula>) was found in winter. By comparing the diurnal plots of sulfate in winter and summer, it appears that sulfate generated from aqueous chemistry accounted for more mass and a greater fraction of total sulfate production in winter than in summer.</p>
      <?pagebreak page9648?><p id="d1e5223">The total nitrate concentration was higher in winter than in summer. The
<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> was very low in summer due to its thermal instability under high temperature, while it was relatively enhanced in winter. According to the <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ratio method described in Sect. 2.3.1, the
mass fraction of <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> in total nitrate was in the range of
65 %–66 % in winter and in the range of 19 %–39 % in summer. The averaged
bound concentrations of <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 0.22 to 0.34 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M324" 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 winter and 0.05 to 0.06 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in summer. The seasonal
variation of <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is much stronger than that of
<inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. This is in accordance with previous observations in
Atlanta, Georgia; and Centreville, Alabama (Xu et al., 2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e5368">Mass spectra of PMF-resolved OA factors <bold>(a, c)</bold> and correlation coefficients between OA factors and other
variables (tracer ions, trace gas, meteorological parameters, etc.)
<bold>(b, d)</bold> for winter and summer campaigns at UHSL.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f06.jpg"/>

        </fig>

      <p id="d1e5383">The diurnal profiles of <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">ON</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> show that it reached peak value before dawn in both seasons (Fig. 5). However, <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> presents a bimodal diurnal profile in both seasons. The <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, which
increased from late afternoon and peaked at 02:00–04:00, was likely formed
through nighttime chemistry from dinitrogen pentoxide (<inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
hydrolysis, as the LWC displayed a trend similar to that of
<inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. This was corroborated by the observation of <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> ppb), which is needed to form <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (via
<inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>). The second peak observed during morning rush hour was likely
formed through photochemical processing of <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emitted from vehicles because the traffic flow and <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> level are elevated during morning rush
hour. The decreasing trend of <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">AN</mml:mi></mml:mrow><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> after 09:00 is presumed to be a result of enhanced PBL height and evaporation.</p>
      <?pagebreak page9650?><p id="d1e5564">The estimated ON accounted for 4 %–8 % of the total NR-PM<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and 9 %–17 % of the OA in summer and 12 %–27 % of the total NR-PM<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> and 31 %–66 % percent of the OA in winter, comparable to other studies (Fry et al., 2009; Rollins et al., 2010; Xu et al., 2015; Berkemeier et al., 2016). A proxy for the <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> production rate is based on the product of the
observations of [<inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] and [<inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] (Rollins et al., 2012), where
brackets represent mixing ratios in parts per billion (ppb). The <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M347" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 25 ppb)
and elevated NO<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> observed at night in summer (Fig. 3) resulted in rapid
<inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> formation. Thus, the concurrent enhancement in ON and <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> times <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> occurring during nighttime (Fig. S4) likely indicates the nocturnal <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>-initiated oxidation of anthropogenic and biogenic VOCs, with the latter probably being larger than the former (Brown et al., 2013). The
high N <inline-formula><mml:math id="M353" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C ratio of LO-OOA, concurrent peak value in LO-OOA and ON (MW <inline-formula><mml:math id="M354" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 231 g mol<inline-formula><mml:math id="M355" 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 nighttime hours (Fig. 3), and appreciable correlation of LO-OOA and ON in summer (<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.73</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. 4) together suggest that particle-phase ON from <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>-initiated chemistry contributed to
nighttime LO-OOA in summer.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Effects of aqueous-phase and photochemical oxidation on OOA formation</title>
      <p id="d1e5756">On average, OOA accounted for 39 % <inline-formula><mml:math id="M358" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19 % of OA mass in winter but increased to 77 % <inline-formula><mml:math id="M359" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 % in summer. Note that MO-OOA accounted for more than half of OOA in winter (56 %), indicating the more important role
of MO-OOA in winter as compared to LO-OOA on a relative basis. In contrast,
LO-OOA dominated OOA in summer (70 %). The mass spectra of MO-OOA in
winter and summer are similar (Fig. 6, <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.84</mml:mn></mml:mrow></mml:math></inline-formula>) as is the extent of
oxidation (O <inline-formula><mml:math id="M361" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C <inline-formula><mml:math id="M362" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.10 vs. 1.07). However, LO-OOA in winter showed a different spectral pattern compared with that in summer. The mass spectrum
of LO-OOA in winter was characterized by high <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 32 (mainly <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>)
and 46 (mainly <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) peaks, resulting in a relatively high
O <inline-formula><mml:math id="M366" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C (0.89) in winter that suggest LO-OOA in winter was more aged than that
in summer (O <inline-formula><mml:math id="M367" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> C <inline-formula><mml:math id="M368" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.74).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e5870">Correlation (<inline-formula><mml:math id="M369" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) of OOA mass spectra with the previously
published spectra database (<uri>http://cires1.colorado.edu/jimenez-group/HRAMSsd/</uri>, last access: 9 July 2019).</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" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Factor</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">Winter </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center">Summer </oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">MO-OOA</oasis:entry>
         <oasis:entry colname="col3">LO-OOA</oasis:entry>
         <oasis:entry colname="col4">MO-OOA</oasis:entry>
         <oasis:entry colname="col5">LO-OOA</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">aq-OOA<inline-formula><mml:math id="M371" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.96</oasis:entry>
         <oasis:entry colname="col3">0.75</oasis:entry>
         <oasis:entry colname="col4">0.96</oasis:entry>
         <oasis:entry colname="col5">0.95</oasis:entry>
         <oasis:entry colname="col6">Sun et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MO-OOA</oasis:entry>
         <oasis:entry colname="col2">0.85</oasis:entry>
         <oasis:entry colname="col3">0.87</oasis:entry>
         <oasis:entry colname="col4">0.89</oasis:entry>
         <oasis:entry colname="col5">0.77</oasis:entry>
         <oasis:entry colname="col6">Setyan et al. (2012)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MO-OOA</oasis:entry>
         <oasis:entry colname="col2">0.98</oasis:entry>
         <oasis:entry colname="col3">0.92</oasis:entry>
         <oasis:entry colname="col4">0.98</oasis:entry>
         <oasis:entry colname="col5">0.60</oasis:entry>
         <oasis:entry colname="col6">Hu et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LV-OOA</oasis:entry>
         <oasis:entry colname="col2">0.97</oasis:entry>
         <oasis:entry colname="col3">0.91</oasis:entry>
         <oasis:entry colname="col4">0.98</oasis:entry>
         <oasis:entry colname="col5">0.62</oasis:entry>
         <oasis:entry colname="col6">Crippa et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SV-OOA</oasis:entry>
         <oasis:entry colname="col2">0.65</oasis:entry>
         <oasis:entry colname="col3">0.70</oasis:entry>
         <oasis:entry colname="col4">0.70</oasis:entry>
         <oasis:entry colname="col5">0.78</oasis:entry>
         <oasis:entry colname="col6">Crippa et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LO-OOAI, biogenic origin</oasis:entry>
         <oasis:entry colname="col2">0.83</oasis:entry>
         <oasis:entry colname="col3">0.84</oasis:entry>
         <oasis:entry colname="col4">0.86</oasis:entry>
         <oasis:entry colname="col5">0.76</oasis:entry>
         <oasis:entry colname="col6">Hu et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LO-OOAII, anthropogenic origin</oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">0.80</oasis:entry>
         <oasis:entry colname="col4">0.82</oasis:entry>
         <oasis:entry colname="col5">0.74</oasis:entry>
         <oasis:entry colname="col6">Hu et al. (2015)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e5883"><inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> aq-OOA is an aqueous-phase-processed SOA reported by Sun et al. (2016); LV: less volatile; SV: semivolatile.</p></table-wrap-foot></table-wrap>

      <p id="d1e6116">Sun et al. (2016) reported a unique OOA in ambient air, termed aq-OOA
(aqueous-phase-processed SOA), that strongly correlated with particle LWC,
sulfate and S-containing ions. As shown in Table 2, by comparing the mass
spectra of OOA in this work with aq-OOA, it is found that the mass spectra
of MO-OOA in winter in this study present a much stronger correlation (<inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>) with aq-OOA than does LO-OOA in winter in this study (<inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>). Both MO-OOA
and LO-OOA in summer highly correlated with aq-OOA. This result indicates
that the formation of LO-OOA in summer and MO-OOA in both seasons may
involve aqueous-phase chemistry.</p>
      <p id="d1e6144">Assuming that OOA deduced from PMF analysis can be used as a surrogate of
SOA (Wood et al., 2010; Xu et al., 2017), the two OOA were used to
investigate the formation<?pagebreak page9651?> mechanisms and evolutionary processes of SOA.
Previous studies have found SOA correlated well with odd oxygen (O<inline-formula><mml:math id="M374" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) in
many cities (Wood et al., 2010; Sun et al., 2011; Hayes et al., 2013; Zhang
et al., 2015; Xu et al., 2017) and that SOA formation is significantly
impacted by aqueous-phase processing (Lim et al., 2010; Ervens et al., 2011;
Xu et al., 2017). The relationships between OOA factors and <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M376" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LWC were
used as the metrics to characterize SOA formation mechanisms associated with
photochemistry/aqueous oxidation chemistry (Xu et al., 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e6176">OA mass and frequency histograms of data points in each
LWC bin for winter <bold>(a)</bold> and summer <bold>(b)</bold>. Variations of RH, WS, LO-OOA and
MO-OOA mass as a function of LWC in winter <bold>(c, e, g, i)</bold> and summer <bold>(d, f, h, j)</bold>. The data were binned according to the LWC (with different increment
values), and mean (circle), median (horizontal line),
25th and 75th percentiles
(lower and upper box), and 5th and
95th percentiles (lower and upper whiskers) are
displayed for data in each bin.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f07.png"/>

        </fig>

      <p id="d1e6197">Figure 7a and b indicate the LWC frequency distribution. Winter LWC values are
binned in 5 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M378" 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> increments from 0 to 20 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M380" 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>. Data
in the ranges of 20 to 30 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M382" 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>, 30 to 50 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M384" 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>, 50 to
80 <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M386" 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>, and 80 to 120 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M388" 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> are shown as 25, 40, 65
and 100 <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M390" 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. Summer LWC values are binned in 2.5 <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M392" 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> increments from 0 to 15 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M394" 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 bins shown as 17.5
and 27.5 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M396" 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> represent data from 15 to 20 <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M398" 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> and 20 to 35 <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M400" 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>. It should be noted that a fit for the
binned data likely results in an increase in <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> compared to the fit for
the original data. For example, the correlation coefficient of the fit for
the averaged binned wintertime MO-OOA (increased from 0.57 to 0.98 <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M403" 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>) vs. LWC (increased from 2.5 to 40 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M405" 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>) is 0.55,
while it is 0.06 for the original data (Fig. 7i).</p>
      <p id="d1e6495">The data associated with the artificially created bins in both seasons did
not pass the normal test and homogeneity test of variances. The statistical
significance of differences between bins was then tested using the
Kruskal–Wallis analysis of variance (K–W ANOVA). The differences between
winter and summer data of the bins were significant. Thus, the
Dunn–Bonferroni test was performed for the post hoc pairwise comparisons. It was found that the difference of all measured variables in different bins shown
in Fig. 7 were significant (<inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). The results can be found in
Tables S6–S7. Figure 7c and d present a clear positive trend of RH as a
function of LWC in both winter and summer, which implies an increased
potential for aqueous-phase processing at high RH level, enhanced by low
wind speed that allows accumulation of pollutants (Fig. 7e, f). The
patterns of other parameters as LWC increases in winter were different from
those in summer.</p>
      <p id="d1e6510">The variation of binned mean OA mass against LWC presents a significant
seasonal difference (Fig. 7a, b). In winter, the OA mass increased when
LWC increased from 2.5 to 12.5 <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M408" 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> but decreased as the LWC
increased further. In summer, the OA mass slightly decreased when LWC
increased from 1.25 to 6.25 <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M410" 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> but slightly increased when LWC
increased further, suggesting the production of OA is not as strong as that
in winter because of the relatively lower LWC in summer.</p>
      <p id="d1e6554">The winter LO-OOA mass decreased dramatically when LWC <inline-formula><mml:math id="M411" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 12.5 <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M413" 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> (RH <inline-formula><mml:math id="M414" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 80 %, Fig. 7c), while MO-OOA continues
increasing until LWC <inline-formula><mml:math id="M415" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M417" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. This result indicates
that wet removal may dominate under an extremely high RH environment coupled
with stagnant air (WS <inline-formula><mml:math id="M418" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2 m s<inline-formula><mml:math id="M419" 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>, Fig. 7e) or that LO-OOA production
decreased at extremely high LWC level (Fig. 7a). Specifically, average
LO-OOA (Fig. 7g, h) in winter increased from 0.3 to 0.9 <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M421" 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>
when LWC increased from 2.5 to 7.5 <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M423" 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> but decreased as the
LWC increased further, particularly when LWC <inline-formula><mml:math id="M424" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M426" 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 slope of this decrease was approximately <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC. Figure 7a shows that 64 % of the data points were
observed in the situation of low LWC (<inline-formula><mml:math id="M430" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 12.5 <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="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>,
RH <inline-formula><mml:math id="M433" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 80 %), when the increase in LO-OOA was largest.</p>
      <p id="d1e6767">In contrast, LO-OOA in summer showed a decreasing trend under low LWC level
(LWC <inline-formula><mml:math id="M434" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 6.25 <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M436" 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>, RH <inline-formula><mml:math id="M437" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 80 %) but an increasing
trend from approximately 0.77 to 1.8 <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M439" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as
LWC increased from 6.25 to 27.5 <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M441" 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>, a slope of 0.053 <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC. The relatively high summer LO-OOA under low LWC
level was likely more regional, with contributions from possibly transported
nonaqueous OOA, as the wind speed in this case was relatively high and RH
was low. The production of LO-OOA under high LWC level may have been
enhanced by local aqueous-phase heterogeneous chemistry.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e6863">Scatter plots of nighttime OOA vs. LWC for the winter and
summer campaign. The linear equations are given for fitting only the green
dots. Solid dots denote the average value of data in each bin. Bars indicate
standard deviations.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f08.jpg"/>

        </fig>

      <p id="d1e6872">MO-OOA slightly increased during both seasons as LWC increased (Fig. 7i, j). In winter, MO-OOA presented an increasing trend from 0.57 to 0.98 <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M445" 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> when LWC increased from 2.5 to 40 <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M447" 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> but decreased
slightly as the<?pagebreak page9652?> LWC increased further. The slope of this increase was
approximately 0.008 <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC with a correlation coefficient of 0.55. In summer, MO-OOA appears to increase from 0.49 to 0.64 <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M451" 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> when LWC increased from 2.5 to 27.5 <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M453" 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>, with
a slope of 0.005 <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC (<inline-formula><mml:math id="M456" 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">0.34</mml:mn></mml:mrow></mml:math></inline-formula>). In winter, because of the decrease in LO-OOA with LWC, the relative fraction of MO-OOA increases as LWC increases.</p>
      <p id="d1e7004">The mutual effect of aqueous-phase and photochemistry on OOA formation
prevents solely evaluating the role of the two processes. Sullivan et al. (2016) reported multiple lines of evidence for local aq-SOA formation
observed in the Po<?pagebreak page9653?> Valley, Italy, during times of increasing RH, which
coincided with dark conditions. Thus, the daytime data were separated to
examine the variation of OOA against <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The relationship between OOA and aqueous-phase chemistry was investigated further by excluding the daytime data, with the aim of diminishing the instantaneous influence of
photochemistry on the data. To do so, nighttime and daytime were based on
sunrise and sunset in Houston during the two campaigns (<uri>https://www.timeanddate.com/sun/usa/houston</uri>, last access: 9 July 2019). On average, the day lengths
are 11 h 10 min and 13 h 35 min for the campaigns in February and May 2014, respectively.</p>
      <p id="d1e7022">A potential linear relationship between OOA and LWC for the nighttime data
was investigated by fitting the data with a locally weighted scatter plot
smoothing algorithm (LOWESS, Cleveland, 1981). According to the LOWESS
curves for the original nighttime data and the resampled data obtained by a
bootstrap method (Figs. S14–15), there likely exists a linear relationship
between LO-OOA and LWC for data points with LWC less than 20 <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M459" 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> and greater than 6 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M461" 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 the winter and summer
periods, respectively. As for MO-OOA, such a linear relationship likely
exists when LWC is less than 50 and 7 <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M463" 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 the winter and
summer periods, respectively.</p>
      <p id="d1e7086">Figure 8 presents the scatter plots of OOA vs. LWC during nighttime for
the two campaigns. The green dots denote the increasing trend of OOA against
LWC. It is found that the increase in wintertime LO-OOA under low LWC level
(<inline-formula><mml:math id="M464" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) during the night is stronger than that shown
in Fig. 7g. The nighttime LO-OOA linearly increased from 0.04 to 0.64 <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M468" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> when LWC increased from 2.5 to 17.5 <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M470" 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>, a
slope of 0.033 <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC. This result indicates that
the nighttime production of LO-OOA in winter may be more likely formed via
aqueous-phase chemistry in aerosol liquid water than that in daytime. The
production of LO-OOA under high LWC level (LWC <inline-formula><mml:math id="M473" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 6.25 <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in summer during nighttime (0.055 <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC) was comparable to the increase rate of whole dataset (0.053 <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC). The nighttime increasing trends of MO-OOA
against LWC in both seasons are stronger than those shown in Fig. 7i and j
with respect to the correlation coefficient values. The slope of the nighttime
increase in MO-OOA against LWC during the winter campaign was 0.013 <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per <inline-formula><mml:math id="M481" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC, which is 1.7 times the slope for the whole
dataset (daytime and nighttime). For the summer campaign, the increase in
nighttime MO-OOA is 2.2 times the rate for the whole dataset.</p>
      <p id="d1e7250">These results suggest that aqueous-phase processing likely has a strong
positive impact, particularly at night, on the production of MO-OOA in the
two seasons except for instances when LWC exceeds 100 <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in winter. It also appears to facilitate the local production of LO-OOA under
low LWC level (<inline-formula><mml:math id="M484" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 17.5 <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M486" 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 winter and under
relatively high LWC level (<inline-formula><mml:math id="M487" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 6.25 <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in summer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e7330">OA mass and frequency histograms of data points in each
<inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bin for winter <bold>(a)</bold> and summer <bold>(b)</bold>. Variations of
solar radiation, RH, LO-OOA and MO-OOA mass as a function of LWC in winter <bold>(c, e, g, i)</bold> and summer <bold>(d, f, h, j)</bold>. The data were binned according to the
<inline-formula><mml:math id="M491" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (10 ppb increment), and mean (circle), median
(horizontal line), 25th and
75th percentiles (lower and upper box), and
5th and 95th percentiles
(lower and upper whiskers) are displayed for data in each bin.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f09.png"/>

        </fig>

      <p id="d1e7374">As mentioned previously, ON contributes significantly to summertime LO-OOA,
and the concurrent enhancement in ON and LO-OOA during night was associated
with<?pagebreak page9654?> elevated RH (Fig. 3). A previous study found that the partitioning of
organic compounds to the particle phase was significantly increased at
elevated RH levels (70 %) in an urban area dominated by biogenic emissions
in Atlanta (Hennigan et al., 2008). The correlation of ON and LO-OOA in
summer nighttime (<inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.76</mml:mn></mml:mrow></mml:math></inline-formula>) was stronger than that during daytime (<inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula>).
This is likely due to the higher ON yields from <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>-initiated
chemistry involving BVOCs during nighttime compared to
hydroxyl-radical-initiated chemistry involving BVOCs during daytime.
Additionally, the concurrent enhancement of the LWC and nitrate
functionality from organic nitrate during nighttime demonstrates that the
LWC does not inhibit increases in concentration, as might be expected if
hydrolysis occurred rapidly.</p>
      <?pagebreak page9655?><p id="d1e7415">Figure 9a and b present the frequency distribution of <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Winter <inline-formula><mml:math id="M496" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
are binned in 10 ppb increments from 0 to 60 ppb. The range for summer is 20 to 70 ppb. The data associated with the artificially created <inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> bins in
both seasons did not pass the normal test and homogeneity test of variances.
The K–W ANOVAs for winter and summer data of the bins were significant. The
Dunn–Bonferroni test for the post hoc pairwise comparisons shows that the differences of measured variables among different bins shown in Fig. 9 were significant
(Tables S8–S9). The clear positive relationship between solar radiation and
<inline-formula><mml:math id="M498" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is shown in Fig. 9c and d, and the negative relationship between RH
and <inline-formula><mml:math id="M499" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is shown in Fig. 9e and f, confirming strong atmospheric
photochemical activity associated with high-<inline-formula><mml:math id="M500" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> periods.</p>
      <p id="d1e7485">The variations of LO-OOA and MO-OOA showed substantially different patterns
with increases in <inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in winter and summer. In winter, LO-OOA and MO-OOA showed comparable increasing trends at low <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> level (<inline-formula><mml:math id="M503" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 35 ppb),
with MO-OOA having a stronger response. The LO-OOA increased from 0.13 to
0.72 <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> when <inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased from 5 to 35 ppb but decreased
as the <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased further. The slope of this increase was
approximately 0.023 <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per ppb of <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. MO-OOA increased from
0.13 to 0.88 <inline-formula><mml:math id="M510" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M511" 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> when the <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased from 5 to 35 ppb,
with a slope of 0.027 <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per ppb of <inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This leads to a maximum in the mass fraction of MO-OOA as <inline-formula><mml:math id="M515" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> approached its highest observed levels.</p>
      <p id="d1e7641">In summer, there is a clear decreasing trend of RH with increases in
<inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. As discussed previously, the high level of summertime LO-OOA likely was associated with high LWC. Therefore, the high mass fraction of LO-OOA at
the lowest <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> level (<inline-formula><mml:math id="M518" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 20 ppb) associated with the high RH <inline-formula><mml:math id="M519" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LWC
was likely from aqueous-phase chemistry. After excluding low-<inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data
(<inline-formula><mml:math id="M521" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 20 ppb), LO-OOA showed a much stronger response to <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than
did MO-OOA. The summer LO-OOA increased from approximately 0.6 to 1.8 <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M524" 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> when <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased from 25 to 65 ppb, a slope of 0.03 <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per ppb of <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This increase was likely in the case of low-RH
conditions (<inline-formula><mml:math id="M528" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 80 %, Fig. 7d), when aqueous-phase chemistry was
less likely to promote the production of LO-OOA (Fig. 7h). Summer MO-OOA
increased from 0.36 to 0.67 <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M530" 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> when <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased from 25
to 55 ppb but decreased as the <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increased further. The slope of this
increase was 0.007 <inline-formula><mml:math id="M533" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per ppb of <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Contrary to winter, LO-OOA in summer responded more strongly to increases in <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than MO-OOA did.</p>
      <p id="d1e7841">The relationship of OOA vs. <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was examined further by excluding nighttime data. According to the LOWESS curves for the original daytime data and the resampled data obtained using a bootstrap method (Figs. S16–S17),
there likely exists a linear relationship between LO-OOA and <inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> when
<inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is less than 35 ppb and greater than 20 ppb for the winter and
summer period, respectively. As for MO-OOA, the linear relationship likely
exists for data points with <inline-formula><mml:math id="M539" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> less than 35 ppb for the winter period,
but it is less prominent.</p>
      <p id="d1e7888">Figure 10 presents the scatter plots of daytime OOA vs. <inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the
winter and summer campaign. The daytime responses of LO-OOA and MO-OOA to
<inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in winter were <inline-formula><mml:math id="M542" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.5 times that for the whole dataset (Fig. 9g, i), and the increase rate of MO-OOA was higher than that of
LO-OOA. In summer, the slope of the daytime increase in LO-OOA was 1.24
times that for the whole campaign (Fig. 9h). These results suggest that
the photochemical enhancement of OOA in winter on a per-<inline-formula><mml:math id="M543" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> basis was more prominent than that in summer. For the summer campaign, the formation of LO-OOA appears to be more strongly linked to photochemistry compared to MO-OOA.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e7934">Scatter plots of daytime OOA vs.
<inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the winter and summer campaign. The linear
equations are given for fitting the green dots. Bars indicate standard
deviations.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f10.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e7956"><inline-formula><mml:math id="M545" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> vs. LWC dependence of the ratio
of MO-OOA <inline-formula><mml:math id="M546" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LO-OOA in winter <bold>(a)</bold> and summer <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/9641/2019/acp-19-9641-2019-f11.jpg"/>

        </fig>

      <p id="d1e7988">The combined effects of photochemistry and aqueous-phase chemistry on OOA
composition during winter and summer are further demonstrated in Fig. 11.
The ratio of MO-OOA <inline-formula><mml:math id="M547" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LO-OOA in winter showed the highest values on the
top-left corner in Fig. 11a, suggesting photochemical processing was
likely responsible for MO-OOA formation, under low LWC levels (<inline-formula><mml:math id="M548" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M549" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M550" 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>). Additionally, data with high MO-OOA <inline-formula><mml:math id="M551" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LO-OOA on the
bottom-right corner in Fig. 11a indicate the important role of
aqueous-phase chemistry under low <inline-formula><mml:math id="M552" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and high LWC levels. Overall, the concentration of MO-OOA in winter increased as <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M554" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LWC increased,
whereas LO-OOA markedly decreased. This result indicates both photochemical
and aqueous-phase processing played a more important role in enhancing
MO-OOA than LO-OOA in winter.</p>
      <p id="d1e8062">In summer, data points with a low MO-OOA <inline-formula><mml:math id="M555" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LO-OOA value on the top left of
Fig. 11b illustrated that LO-OOA was enhanced in high-<inline-formula><mml:math id="M556" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
low-LWC conditions, though the low MO-OOA <inline-formula><mml:math id="M557" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LO-OOA values are not confined to
just the top left. In the case of a high LWC level (LWC <inline-formula><mml:math id="M558" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 6.5 <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M560" 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>), MO-OOA <inline-formula><mml:math id="M561" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> LO-OOA were much lower (on the right of Fig. 11b,
particularly when LWC <inline-formula><mml:math id="M562" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M563" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M564" 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>). Although MO-OOA
increased with LWC and <inline-formula><mml:math id="M565" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the increase in LO-OOA was more significant.
The effects of both photochemistry (<inline-formula><mml:math id="M566" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 25 ppb) and aqueous-phase
chemistry (<inline-formula><mml:math id="M567" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 6.5 <inline-formula><mml:math id="M568" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M569" 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>) were more relevant for the
formation of LO-OOA than MO-OOA. On average, the mass concentration of
LO-OOA was elevated by nearly 1.2 <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M571" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as a <inline-formula><mml:math id="M572" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g change in LWC (increased from 6.25 to 27.5 <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M575" 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>, Fig. 7h), which is equivalent to a 40 ppb change in <inline-formula><mml:math id="M576" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (increased from 25 to 65 ppb, Fig. 9h). This result further suggests that the aqueous-phase chemistry is comparable to photochemistry in processing LO-OOA in summer.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e8274">Seasonal characterization of NR-PM<inline-formula><mml:math id="M577" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> collected using HR-ToF-AMS near
Houston in 2014 demonstrated that the mass loading, diurnal patterns and
important formation pathways of NR-PM<inline-formula><mml:math id="M578" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> vary seasonally. The OA was the
largest component of NR-PM<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass, on average, accounting for 38 % and 47 % of the mass loadings in winter and summer, respectively, which is less than that in the north part of Houston,<?pagebreak page9656?> which is influenced by high
biogenic emission rates. Nitrate was the second largest component in winter
(23 %) but accounted for only 2 % of NR-PM<inline-formula><mml:math id="M580" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass in summer;
<inline-formula><mml:math id="M581" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> was the second largest component in winter (23 %) and
summer (36 %), respectively. ON, on average, accounted for 31 %–66 % and 9 %–17 % of OA during the winter and summer campaign, respectively. The summertime
ON correlated very well with LO-OOA and concurrently peaked at nighttime. It
is likely that ON from <inline-formula><mml:math id="M582" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>-initiated oxidation of BVOC in the
forested northeastern Houston contributed greatly to nighttime LO-OOA in
summer and that LWC did not inhibit the resulting concentration growth.</p>
      <p id="d1e8343">Contributions of factors to wintertime and summertime OA show distinct
differences. For wintertime OA, on average, BBOA contributed 26 % of OA
mass, and MO-OOA and COA made the same contribution of 22 % to total OA
mass. LO-OOA accounted for 17 % of OA mass, followed by HOA (13 %). In the summer, LO-OOA represented the largest fraction of the OA mass, 54 %
on average. The second largest contributor was MO-OOA (23 %). Together,
POA constituted more than half of OA mass (61 %) in winter, while it
accounted for 23 % of OA mass in summer, highlighting the enhanced impact
of primary emissions on OA level during wintertime. Secondary aerosols
account for <inline-formula><mml:math id="M583" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 76 % and 88 % of NR-PM<inline-formula><mml:math id="M584" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass in winter
and summer, respectively, indicating NR-PM<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> mass was likely driven
mostly by secondary aerosol formation.</p>
      <p id="d1e8371">The two proxies of SOA (LO-OOA and MO-OOA) presented seasonal differences in
their spectral patterns, oxidation degrees and contributions to SOA. MO-OOA
showed a higher contribution to SOA than LO-OOA in winter (56 % vs.
44 %). In contrast, LO-OOA dominated SOA in<?pagebreak page9657?> summer (70 %). Our results indicate that both photochemical and aqueous-phase chemistry, as suggested by relationships to <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and LWC, played important roles in the formation of MO-OOA and LO-OOA. Aqueous-phase processing likely has a strong positive impact on the formation of MO-OOA in the two seasons, especially in winter.
The relationships between MO-OOA and LWC were 0.008 and 0.005 <inline-formula><mml:math id="M587" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g MO-OOA per <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC during winter and summer, respectively. Wet removal or
decreased formation rates likely limit MO-OOA when LWC exceeds 100 <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M590" 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 winter. The relative importance of aqueous-phase chemistry
vs. photochemistry in processing LO-OOA was dependent on RH.
Aqueous-phase processing potentially facilitated the local formation of
wintertime LO-OOA at a low LWC level (<inline-formula><mml:math id="M591" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 17.5 <inline-formula><mml:math id="M592" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M593" 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>,
RH <inline-formula><mml:math id="M594" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 80 %), with a stronger dependence (0.033 <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M596" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC) than MO-OOA. In summer, the formation of LO-OOA may have been
enhanced by aqueous-phase processing at a relatively high LWC level
(<inline-formula><mml:math id="M597" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 6.25 <inline-formula><mml:math id="M598" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M599" 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>, RH <inline-formula><mml:math id="M600" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 80 %) with a slope of
0.053 <inline-formula><mml:math id="M601" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per <inline-formula><mml:math id="M602" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of LWC, while LO-OOA was likely transported nonaqueous regional OOA when LWC <inline-formula><mml:math id="M603" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 6.25 <inline-formula><mml:math id="M604" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M605" 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>. These
increases in OOA in relation to LWC were greatly enhanced during nighttime.
Aqueous-phase chemistry also appears important in the formation of
summertime LO-OOA at low atmospheric oxidative capacity (<inline-formula><mml:math id="M606" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M607" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20 ppb). In general, summertime LO-OOA showed a much stronger response to
<inline-formula><mml:math id="M608" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than did MO-OOA, with a slope of 0.030 <inline-formula><mml:math id="M609" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g LO-OOA per ppb of <inline-formula><mml:math id="M610" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. LO-OOA in summer was elevated by nearly 1.2 <inline-formula><mml:math id="M611" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M612" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as a
<inline-formula><mml:math id="M613" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M614" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g change in LWC, which is equivalent to a 40 ppb
change in <inline-formula><mml:math id="M615" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>

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

      <p id="d1e8652">Datasets are
available by contacting the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e8655">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-9641-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-9641-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e8664">QD performed the data analysis and wrote the manuscript. RJG and YF assisted heavily with manuscript development and
editing. HWW, AATB, JHF and BLL contributed to data collection during the field campaigns. BCS, HWW, AATB and NPS
contributed with data analysis. XB, BCS, AATB, FG, NPS and JHF provided
helpful comments and edits.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e8670">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8676">The authors would like to acknowledge Yele Sun (Institute of Atmospheric
Physics, Chinese Academy of Sciences) for providing the aq-OOA mass spectra
and Qiao Zhu (Peking University Shenzhen Graduate School) for assistance in
the calculation of organic nitrates and PMF analysis. The scholarships
provided by China Scholarship Council to Qili Dai and Xiaohui Bi are
gratefully acknowledged. Support of the Houston Endowment in the development and
deployment of the MAQL also is gratefully acknowledged.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e8681">This research has been supported by the National Key R&amp;D Program of China (grant no. 2016YFC0208505), the Tianjin Science and Technology Plan Program (grant no. 18ZXSZSF00160) and the Houston Endowment (grant no. 2014-177-0163-03).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e8687">This paper was edited by Eleanor Browne and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Seasonal differences in formation processes of oxidized organic aerosol near Houston, TX</article-title-html>
<abstract-html><p>Submicron aerosol was measured to the southwest of Houston, Texas, during
winter and summer 2014 to investigate its seasonal variability. Data from a
high-resolution time-of-flight aerosol mass spectrometer (HR-ToF-AMS)
indicated that organic aerosol (OA) was the largest component of
nonrefractory submicron particulate matter (NR-PM<sub>1</sub>) (on average, 38&thinsp;%&thinsp;±&thinsp;13&thinsp;% and 47&thinsp;%&thinsp;±&thinsp;18&thinsp;% of the NR-PM<sub>1</sub> mass loading in
winter and summer, respectively). Positive matrix factorization (PMF)
analysis of the OA mass spectra demonstrated that two classes of oxygenated
OA (less- and more-oxidized OOA, LO and MO) together dominated OA mass in
summer (77&thinsp;%) and accounted for 39&thinsp;% of OA mass in winter. The fraction
of LO-OOA (out of total OOA) is higher in summer (70&thinsp;%) than in winter
(44&thinsp;%). Secondary aerosols (sulfate&thinsp;+&thinsp;nitrate&thinsp;+&thinsp;ammonium&thinsp;+&thinsp;OOA) accounted
for  ∼ 76&thinsp;% and 88&thinsp;% of NR-PM<sub>1</sub> mass in winter and
summer, respectively, indicating NR-PM<sub>1</sub> mass was driven mostly by
secondary aerosol formation regardless of the season. The mass loadings and
diurnal patterns of these secondary aerosols show a clear winter–summer
contrast. Organic nitrate (ON) concentrations were estimated using the
NO<sup>+</sup><sub><i>x</i></sub> ratio method, with contributions of 31&thinsp;%–66&thinsp;% and 9&thinsp;%–17&thinsp;% to
OA during winter and summer, respectively. The estimated ON in summer
strongly correlated with LO-OOA (<i>r</i> = 0.73) and was enhanced at nighttime.</p><p>The relative importance of aqueous-phase chemistry and photochemistry in
processing OOA was investigated by examining the relationship of aerosol
liquid water content (LWC) and the sum of ozone (O<sub>3</sub>) and nitrogen
dioxide (NO<sub>2</sub>) (O<sub><i>x</i></sub>&thinsp; = &thinsp;O<sub>3</sub> + NO<sub>2</sub>) with LO-OOA and MO-OOA.
The processing mechanism of LO-OOA apparently was related to relative
humidity (RH). In periods of RH&thinsp; &lt; &thinsp;80&thinsp;%, aqueous-phase chemistry
likely played an important role in the formation of wintertime LO-OOA,
whereas photochemistry promoted the formation of summertime LO-OOA. For
periods of high RH&thinsp; &gt; &thinsp;80&thinsp;%, these effects were opposite those of
low-RH periods. Both photochemistry and aqueous-phase processing appear to
facilitate increases in MO-OOA concentration except during periods of high
LWC, which is likely a result of wet removal during periods of light rain or a negative impact on its formation rate.</p><p>The nighttime increases in MO-OOA during winter and summer were 0.013 and
0.01&thinsp;µg MO-OOA per µg of LWC, respectively. The increase in LO-OOA
was larger than that for MO-OOA, with increase rates of 0.033 and 0.055&thinsp;µg LO-OOA per µg of LWC at night during winter and summer, respectively. On average, the mass concentration of LO-OOA in summer was
elevated by nearly 1.2&thinsp;µg&thinsp;m<sup>−3</sup> for a  ∼ 20&thinsp;µg
change in LWC, which was accompanied by a 40&thinsp;ppb change in O<sub><i>x</i></sub>.</p></abstract-html>
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