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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-23-1879-2023</article-id><title-group><article-title>Impacts of biomass burning and photochemical processing on the light
absorption of brown<?xmltex \hack{\break}?> carbon in the southeastern Tibetan Plateau</article-title><alt-title>Brown carbon in the southeastern Tibetan Plateau</alt-title>
      </title-group><?xmltex \runningtitle{Brown carbon in the southeastern Tibetan Plateau}?><?xmltex \runningauthor{J. Tian et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Tian</surname><given-names>Jie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Wang</surname><given-names>Qiyuan</given-names></name>
          <email>wangqy@ieecas.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ma</surname><given-names>Yongyong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Jin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Han</surname><given-names>Yongming</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1282-1354</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff4">
          <name><surname>Cao</surname><given-names>Junji</given-names></name>
          <email>jjcao@mail.iap.ac.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Aerosol Chemistry and Physics, State Key Laboratory of Loess and Quaternary Geology, Institute of Earth Environment, Chinese Academy of Sciences, Xi'an 710061, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>CAS Center for Excellence in Quaternary Science and Global Change,
Xi'an 710061, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Meteorological Institute of Shaanxi Province, Xi'an 710015, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Qiyuan Wang (wangqy@ieecas.cn) and Junji Cao (jjcao@mail.iap.ac.cn)</corresp></author-notes><pub-date><day>3</day><month>February</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>3</issue>
      <fpage>1879</fpage><lpage>1892</lpage>
      <history>
        <date date-type="received"><day>2</day><month>September</month><year>2022</year></date>
           <date date-type="rev-request"><day>4</day><month>October</month><year>2022</year></date>
           <date date-type="rev-recd"><day>12</day><month>January</month><year>2023</year></date>
           <date date-type="accepted"><day>14</day><month>January</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</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="d1e152">Brown carbon (BrC) in the atmosphere can greatly
influence aerosol's radiative forcing over the Tibetan Plateau (TP) because
it has the non-negligible capacity of light absorption compared to black
carbon (BC); however, our understanding of optical properties, sources,
and atmospheric processes of BrC in this region remains limited. In this study,
a multiple-wavelength Aethalometer coupled with a quadrupole aerosol
chemical speciation monitor was deployed to investigate the highly time
resolved BrC in the submicron aerosol at the southeastern edge of the TP
during the pre-monsoon season. The results showed that BrC made
substantial contributions (20.0 %–40.2 %) to the light absorption of
submicron aerosol from 370 to 660 nm. Organic aerosol (OA), an alternative
to BrC, was split into a biomass burning OA (BBOA) with aging processes and a
photochemical-oxidation-processed oxygenated OA (po-OOA) by a hybrid
environmental receptor model analysis. Combined with the light absorption
coefficient of BrC (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), the source-specific mass absorption cross
sections of BBOA (0.61–2.78 m<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and po-OOA (0.30–1.43 m<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at 370–660 nm were retrieved. On average,
<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from po-OOA (1.3–6.0 Mm<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) was comparable to that from
BBOA (1.3–6.0 Mm<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at all wavelengths. The concentration-weighted
trajectory analysis showed that the most important potential source regions
for <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values from BBOA and po-OOA were located in northern
Myanmar and along the China–Myanmar border, indicating the cross-border
transport of BrC from Southeast Asia. A “simple forcing efficiency”
evaluation further illustrated the importance of the BrC radiative effect with
the high fractional radiative forcing by two OAs relative to BC (48.8 <inline-formula><mml:math id="M10" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.5 %). This study highlights a significant influence of BrC of
biomass burning origin and secondary formation on climate change over the TP
region during the pre-monsoon season.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e271">Carbonaceous aerosols, a major component of atmospheric particles, play an
important role in the global climate by directly absorbing and scattering
solar and terrestrial radiation (Bellouin et al., 2013; IPCC, 2013; Yao et
al., 2017). In the past, black carbon (BC) was often considered to be the
only light-absorbing carbonaceous aerosol, and organic aerosol (OA) was
thought to purely scatter light (Bond and Bergstrom, 2006; Koch et al.,
2007). However, a fraction of OA has been found to absorb radiation
efficiently in near-ultraviolet (UV) and visible spectral ranges with a
strong wavelength dependence (Kirchstetter et al., 2004). This
light-absorbing OA, collectively known as brown carbon (BrC) (Andreae and
Gelencsér, 2006), is receiving increasing attention due to its
non-negligible radiative effect. Feng et al. (2013) and Lin et al. (2014)
have reported that the radiative forcing (RF) caused by BrC absorption on a
global scale can be up to <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M13" 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>,<?pagebreak page1880?> respectively.
A. Zhang et al. (2020) estimated that globally BrC contributes more than
25 % of BC RF, wherein the atmospheric heating of BrC is greater than that
of BC in the tropical middle and upper troposphere. Zhang et al. (2017) also
suggested that the clear-sky RFs of high- and low-altitude BrC were 0.35 <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16 and 0.65 <inline-formula><mml:math id="M15" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.34 W m<inline-formula><mml:math id="M16" 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>, corresponding to 34 % and
24 % of carbonaceous aerosol warming effect at the tropopause,
respectively. The inclusion of BrC in climate models can reduce
uncertainties in the global or regional RF assessment of aerosols.
Therefore, a comprehensive understanding of light absorption properties of
BrC is required.</p>
      <p id="d1e333">In the atmosphere, primary BrC is mainly emitted from biomass burning and
fossil fuel combustion (Olson et al., 2015; Washenfelder et al., 2015; Xie
et al., 2017), and secondary BrC is commonly formed from
photochemical oxidation and aqueous reactions of biogenic or anthropogenic
precursors (Hecobian et al., 2010; Nakayama et al., 2013). The complex
sources and formation mechanisms of BrC lead to spatial–temporal
variations in its light absorption properties. Accurately quantifying the
source-specific absorption capacity (i.e., mass absorption cross section
(MAC)) of BrC is essential for modeling the BrC climate effect. However, direct
source apportionment of BrC is impossible with current analytical methods,
since BrC constituents responsible for light absorption remain relatively
unknown (Laskin et al., 2015). Recent studies have usually used OA as an
alternative to BrC for two major reasons: (1) the definition of OA contains
all BrC constituents, and (2) OA from either online monitoring or filter
extraction can be apportioned to a few major primary and secondary sources
with the development of mass spectrometry. This allows for establishing the
relationship between primary and secondary OA types and BrC absorption,
which provides better quantification of the impact of BrC from different
sources and formation mechanisms on regional and global climates (Kaskaoutis
et al., 2021; Moschos et al., 2018; Qin et al., 2018; Wang et al., 2021).</p>
      <p id="d1e336">The Tibetan Plateau (TP), often referred to as the “Third Pole”, is the
largest and highest mountain region in the world and contains the most
abundant ice outside of the polar regions (Yao et al., 2012). It has a huge
impact on large-scale atmospheric circulation and the hydrological
cycle, which is the most sensitive and visible indicator of climate change
on the entire Asian continent (Chen and Bordoni, 2014; Immerzeel et al.,
2010). In recent decades, there has been growing evidence of
increased surface temperature in the Himalayas and the TP regions,
accompanied by accelerated glacier melt and retreat (Kehrwald et al.,
2008; Liu and Chen, 2000; Wang et al., 2008). This rapid warming was firstly
attributed to greenhouse gas warming; however, light-absorbing aerosols were
found to be another major warming agent (Lau et al., 2010; Ramanathan et
al., 2007). Previous studies have paid a large amount of attention to BC due to
its vital climatic implications in the TP. The sources of BC vary
significantly with the receptor location and the season (Kopacz et al.,
2011; Tan et al., 2021; Zhang et al., 2015). For example, Zhang et al. (2015) reported that biomass burning from South Asia has the largest impact
on BC in the central TP, while fossil fuel combustion contributed the most
to BC burden in the northeast TP in all seasons and southeast TP in the
summer. The direct RF of BC at the top of the atmosphere (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula>–3.5 W m<inline-formula><mml:math id="M18" 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>) has been found to induce atmospheric heating rates of 0.13–0.35 K d<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
the Himalayas and the TP regions (Liu et al., 2021; Panicker et al., 2020);
meanwhile, BC deposited on the snow-covered areas can increase the surface temperature over the TP 1.0 <inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C by reducing the snow
albedo (Qian et al., 2011). It is clear that there are primary OA
emissions along with BC emitted from biomass burning and fossil fuel
combustion, and secondary OA formation has been found in the TP (Xu et al.,
2018; Zhang et al., 2019). However, the link between light absorption
properties and sources of OA has been less understood so far, which can lead to
uncertainties in evaluating the aerosol radiative effect of TP.</p>
      <p id="d1e382">In this study, real-time measurements of both light absorption properties
and chemical characteristics of submicron aerosol were conducted in the
southeastern margin of the TP during the pre-monsoon season. The main
objectives were to (1) characterize the light absorption properties of BrC,
(2) quantify the source-specific MAC and absorption of BrC, and (3) evaluate
the importance of the BrC radiative effect from different sources. This study
provides insights into light absorption properties of BrC, which are
necessary for understanding the role of BrC in climate warming and revealing
impacts of sources and atmospheric processes in the TP and surrounding
areas.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sampling site and period</title>
      <p id="d1e400">Submicron aerosol online measurements of optical and chemical properties
were performed at the Lijiang Astronomical Station, Chinese Academy of
Sciences, Gaomeigu, Yunnan Province (26<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>41<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N,
100<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>1<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E; 3260 m a.s.l.) (Fig. 1). Continuous hourly O<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
relative humidity (RH) were measured with the use of an ozone analyzer
(EC9810, Ecotech Pty Ltd., Australia) and an automatic weather station
(MAWS201, Vaisala, Helsinki, Finland). The monitoring station is situated at
the southeastern edge of the TP, a natural channel for the transport of air
pollutants from Southeast Asia to the TP (Tan et al., 2021). All instruments
were placed on the rooftop of an office building (<inline-formula><mml:math id="M26" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 10 m above
ground level (a.g.l.)), without any strong anthropogenic emission sources nearby. More
detailed description about the sampling site can be found in Wang et al. (2019) and Liu et al. (2021). The sampling period lasted from 08:00 LST (local
standard time; all time references that follow are given in LST) on 14 March 2018 to
23:00 on 31 March 2018, corresponding to the pre-monsoon season in the TP.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e458">Topography map of the Tibetan Plateau and the location of
the sampling site at Gaomeigu.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f01.jpg"/>

        </fig>

</sec>
<?pagebreak page1881?><sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Submicron aerosol measurements</title>
      <p id="d1e475">A newly developed Aethalometer (model AE33, Magee Scientific, Berkeley, CA,
USA) was used to measure the aerosol light absorption coefficient (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at
multiple wavelengths (i.e., 370, 470, 520, 590, 660, and 880 nm) with a 1 min time resolution. Briefly, the ambient air sampled at a flow rate of 5 L min<inline-formula><mml:math id="M28" 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 firstly selected by a PM<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> (particulate matter with an
aerodynamic diameter <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) cyclone separator (BGI SCC 1.197,
Mesa Labs, USA) to collect submicron aerosol on the filter. Light at
different wavelengths emitted from diodes irradiated two parallel filter
spots with deposition rates of 3.85 and 1.15 L min<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively.
Thereafter, the two light attenuations measured by optical detectors were
used to calculate <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> through a real-time loading effect compensation
algorithm. This “dual-spot” technique for the model AE33 can eliminate the
nonlinearity effect caused by an increasing amount of aerosol deposit on the
filter (Weingartner et al., 2003). Additionally, the model AE33
automatically used a factor of 2.14 to compensate for the scattering effect of the
quartz filter. Detailed operating principles of the model AE33 can be found
in Drinovec et al. (2015).</p>
      <p id="d1e552">OA in the non-refractory 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> was measured using a quadrupole aerosol
chemical speciation monitor (Q-ACSM, Aerodyne Research Inc., Billerica,
Massachusetts, USA) with a 30 min time resolution. The aerodynamic lens
coupled with a 100 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m diameter critical aperture in the Q-ACSM created
a beam of focused submicron aerosols (40–1000 nm aerodynamic diameter),
which was vaporized at <inline-formula><mml:math id="M36" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 600 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, ionized by a 70 eV
electron impact, and subsequently characterized with a mass spectrometer.
The details of the instrument have been described elsewhere (Ng et al.,
2011b). The measured Q-ACSM data were processed by the ACSM local tool
version 1.5.3.5 compiled with Igor Pro 6.37 (WaveMetrics, Inc., Lake Oswego,
OR, USA) to determine the mass concentration and ion-speciated mass spectra
of OA. For our study, the default collection efficiency (0.45) and relative
ionization efficiency (1.4) were used to obtain OA mass concentration
(Middlebrook et al., 2012). The mass concentration and error matrices of
organic fragments from mass-to-charge (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>) 12 to 120 were initialized
following the method of Allan et al. (2003).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Data analysis</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Separation of BrC and BC absorption</title>
      <?pagebreak page1882?><p id="d1e615">The extrapolation method based on the absorption Ångström
exponent (AAE) is widely used to project the absorption at the longer
wavelength to the shorter wavelength of the spectrum (Olson et al., 2015;
Pokhrel et al., 2017). With an assumption of <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at 880 nm (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (880 nm)) solely from BC (Kirchstetter et al., 2004), the light absorption
coefficient of BC (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) at wavelengths (<inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>) of 370, 470,
520, 590, and 660 nm can be obtained using the following formula:
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M43" display="block"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">880</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:mrow></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">880</mml:mn><mml:mi mathvariant="italic">λ</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:msub><mml:mi mathvariant="normal">AAE</mml:mi><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Here, <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are given in inverse megameters (Mm<inline-formula><mml:math id="M46" 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>);
AAE<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula> is assumed to be 1.1 <inline-formula><mml:math id="M48" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3, which represents the likely
range of AAE for BC externally and internally mixed with non-absorbing
material (Lack and Langridge, 2013). Then, BrC absorption is derived by
subtracting BC absorption from the total submicron aerosol absorption via
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M49" display="block"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Here, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the light absorption coefficient of BrC (Mm<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Hybrid environmental receptor model (HERM) analysis</title>
      <p id="d1e839">HERM is an effective receptor model, which was used to retrieve
potential sources of OA in this study. The HERM algorithm groups the matrix
<inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula> (measured mass spectra of organic fragments) into two nonnegative constant
matrices <inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="bold">G</mml:mi></mml:math></inline-formula> (source contribution) and <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="bold">F</mml:mi></mml:math></inline-formula> (mass spectra of specific sources)
and the model residual matrix <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="bold">E</mml:mi></mml:math></inline-formula>, defined as
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M56" display="block"><mml:mrow><mml:mi mathvariant="bold">X</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="bold">G</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="bold">F</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="bold">E</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            The model does not require prior mass spectra of sources, and the values of
<inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="bold">G</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="bold">F</mml:mi></mml:math></inline-formula> can be obtained using an iterative conjugate gradient algorithm. The
principle of HERM has been described in detail elsewhere (Chen and Cao,
2018).</p>
      <p id="d1e914">Before HERM analysis, <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> values from 12 to 120 with signal-to-noise ratios between 0.2 and 2
and <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44 were down-weighted by increasing their errors by a factor of 2
(Ulbrich et al., 2009). HERM solutions from two to five factors with an
unconstrained mass spectrum were investigated to explore potential sources.
The two-factor solution were chosen as the optimal solution; while a greater
number of factor (three to five) solutions existed, many non-physical-meaning
factors dominated by individual <inline-formula><mml:math id="M61" 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 did not further split new sources.
The bootstrap (BS) method was adopted for the two-factor solution (Brown et al.,
2015). For 50 runs of <inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="normal">BS</mml:mi></mml:math></inline-formula>, no mass spectrum was unmapped (<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>)
indicating the two-factor solution was robust. Therefore, a biomass burning
OA (BBOA) and a photochemical-oxidation-processed oxygenated OA (po-OOA)
were finally identified. More detailed description of mass spectra, time
series, and correlations with tracers of these two OA factors can be found
in Sect. 3.2.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Calculation of optical parameters</title>
      <p id="d1e980">The MAC of the OA component in this study was resolved by the multiple linear
regression (MLR) model combined with <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and OA source
apportionment results, which are defined as follows:
              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M65" display="block"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close="]" open="["><mml:mi mathvariant="normal">BBOA</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced open="[" close="]"><mml:mtext>po-OOA</mml:mtext></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            Here, <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> denote the MAC of BBOA (MAC<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula>) and po-OOA
(MAC<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mtext>po-OOA</mml:mtext></mml:msub></mml:math></inline-formula>), respectively, in square meters per gram (m<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M71" 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>); [BBOA] and [po-OOA] are the mass concentrations of BBOA and
po-OOA, respectively, in micrograms per cubic meter (<inline-formula><mml:math id="M72" 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="M73" 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>).
Tolerance (0.2) and the variance inflation factor (4.7) for the ordinary least-squares fitting results indicated that there was no serious multicollinearity
between the two independent variables; however, heteroscedasticity existed
according to the “White test” (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Thus, the weighted least-squares method was used for parameter estimation in the MLR model. The MAC of BC
(MAC<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula>) was directly calculated with <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> divided by the mass
concentration of BC, which was obtained by dividing <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (880 nm) by the
default MAC (880 nm) used in the model AE33 (Drinovec et al., 2015).</p>
      <p id="d1e1179">AAE describes the spectral dependence of light absorption by aerosols, and
it can be calculated using a power-law function with <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and MAC,
respectively:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M79" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">AAE</mml:mi></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">MAC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">AAE</mml:mi></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              Here, <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are constants independent of wavelength.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Trajectory-related analysis</title>
      <p id="d1e1307">A geographic-information-system-based software TrajStat was utilized to
investigate the influences of regional transport on BrC absorption at
Gaomeigu from 14 to 31 March 2018 (Wang et al., 2009). The trajectories
were calculated with the HYSPLIT model developed by the National Oceanic and Atmospheric
Administration (Draxler and Hess, 1998). In this study, the model was set to
run 24 times per day at starting times of 00:00–23:00 with a 1 h
step. Based on the
gridded meteorological data from the Global Data Assimilation System
(<uri>ftp://arlftp.arlhq.noaa.gov/pub/archives/gdas1</uri>, last access: 1 June 2022), 72 h backward trajectories at the height of 500 m a.g.l. at Gaomeigu during the sampling period were produced.</p>
      <?pagebreak page1883?><p id="d1e1313">The concentration-weighted trajectory (CWT) method was further used to
identify the potential source regions that likely affected the BrC
absorption at Gaomeigu (Hsu et al., 2003). The geographic zone covered by
the total number of backward trajectories (<inline-formula><mml:math id="M82" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula>) was divided into <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>I</mml:mi><mml:mo>×</mml:mo><mml:mi>J</mml:mi></mml:mrow></mml:math></inline-formula> grid cells with a resolution of 0.5<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.5<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The CWT value of each grid can be defined as follows:
            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M87" display="block"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mtext>abs-BrC-</mml:mtext><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>K</mml:mi></mml:msubsup><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mtext>abs-BrC-</mml:mtext><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>K</mml:mi></mml:msubsup><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Here, <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mtext>abs-BrC-</mml:mtext><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the average-weighted light absorption
coefficient of BrC in the <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>th cell, <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mtext>abs-BrC-</mml:mtext><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the light
absorption coefficient of BrC observed on the arrival of trajectory <inline-formula><mml:math id="M91" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, and
<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the time spent in the <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>th cell by trajectory <inline-formula><mml:math id="M94" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. The
weighting function of <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was applied to reduce the effect of the small
number of back-trajectory segment endpoints that fall into the grid cell
(Wang et al., 2006):
            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M96" display="block"><mml:mrow><mml:msub><mml:mi>W</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mn mathvariant="normal">1.00</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">135</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>&lt;</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0.70</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">45</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>&lt;</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>≤</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">135</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0.42</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>&lt;</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>≤</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mn mathvariant="normal">0.17</mml:mn></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>≤</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">15</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>
          Here, <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the total number of endpoints in the <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>th cell. In this
study, the total number of endpoints located in 72 cells of the geographic
zone is 3268, so the average number of endpoints in all cells is about
45.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Radiative effect calculation</title>
      <p id="d1e1693">The concept “simple forcing efficiency” (SFE) introduced by Bond and
Bergstrom (2006) is a useful way to evaluate the radiative effect of
atmospheric aerosols. Without consideration of aerosol scattering, a variant
of wavelength-dependent SFE is given as follows:
            <disp-formula id="Ch1.E9" content-type="numbered"><label>9</label><mml:math id="M99" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">SFE</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msubsup><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="[" close="]"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">MAC</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          Here, the subscript <inline-formula><mml:math id="M100" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> represents BBOA, po-OOA, or BC; <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> denotes the
wavelength from 370 to 660 nm with a 1 nm step; SFE is given in watts per gram
(W g<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which represents the positive energy added to the Earth
atmosphere system by a given mass of light-absorbing particles in the
atmosphere; <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the solar irradiance based on the ASTM G173-03
reference spectra in watts per square meters (W m<inline-formula><mml:math id="M104" 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>); <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the atmospheric transmission (0.79), the cloud
fraction (0.6), and the surface albedo (0.19), respectively, which are
constants from the global average calculations; MAC with a 1 nm resolution
is extrapolated using Eq. (6). And then, the fraction of solar radiation
absorbed by OA component relative to BC (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">OA</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">BC</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) can be calculated as
            <disp-formula id="Ch1.E10" content-type="numbered"><label>10</label><mml:math id="M109" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi mathvariant="normal">OA</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">BC</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">370</mml:mn></mml:mrow><mml:mn mathvariant="normal">660</mml:mn></mml:msubsup><mml:msub><mml:mi mathvariant="normal">SFE</mml:mi><mml:mi mathvariant="normal">OA</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">OA</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">370</mml:mn></mml:mrow><mml:mn mathvariant="normal">660</mml:mn></mml:msubsup><mml:msub><mml:mi mathvariant="normal">SFE</mml:mi><mml:mi mathvariant="normal">BC</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">λ</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Here, the integrated SFE is the sum of the SFE from 370 to 660 nm; <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">OA</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the average mass concentrations of the OA component and BC
during the sampling period.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Overview of BrC absorption</title>
      <p id="d1e2019">The temporal variation in submicron aerosol <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at wavelengths from 370
to 880 nm as well as the OA mass concentration during the entire campaign at
Gaomeigu is depicted in Fig. 2. The hourly <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values at different
wavelengths varied from minimum to maximum values by factors of 19–41 from
14 to 31 March 2018, reflecting the fact that atmospheric environment at Gaomeigu is
influenced by dynamic changes in emission sources and meteorological
conditions. Particularly, the larger variations in <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values at
370–660 nm, compared with those at 880 nm, highlighted the impact of non-BC
light-absorbing materials. As shown in Table 1, the average <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values
were 33.1 <inline-formula><mml:math id="M116" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24.4 Mm<inline-formula><mml:math id="M117" 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> (arithmetic mean <inline-formula><mml:math id="M118" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard
deviation) at 370 nm, 26.7 <inline-formula><mml:math id="M119" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19.7 Mm<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 470 nm, 20.3 <inline-formula><mml:math id="M121" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.9 Mm<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 520 nm, 18.2 <inline-formula><mml:math id="M123" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.5 Mm<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 590 nm, 13.7 <inline-formula><mml:math id="M125" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.0 Mm<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 660 nm, and 8.0 <inline-formula><mml:math id="M127" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.9 Mm<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 880 nm.
The <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values obtained in this study were comparable with those
reported previously at sampling sites of the TP, where the major
anthropogenic sources (i.e., industry, fossil fuel combustion, etc.) are
limited locally (Niu et al., 2018; Zhao et al., 2019; Zhu et al., 2021).
Frequency histograms of hourly AAE values showed a median AAE value of 1.59
with an interquartile range from 1.38 to 1.83 (Fig. S1). Over 72 % of AAE
values were higher than 1.4 (upper limit of AAE<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula>), implying the
presence of both BrC and BC absorption in the submicron aerosol at Gaomeigu.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2212">Hourly variations in <bold>(a)</bold> OA mass concentrations and <bold>(b)</bold> submicron aerosol light absorption coefficients (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at different
wavelengths (370, 470, 520, 590, 660, and 880 nm) at Gaomeigu from 14 to 31 March 2018.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f02.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2241">Submicron aerosol light absorption coefficient
(<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) contributed by BrC (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and BC (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) at
Gaomeigu during the sampling period (14 to 31 March 2018).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Parameter<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> (Mm<inline-formula><mml:math id="M141" 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 rowsep="1" namest="col2" nameend="col7" align="center">Wavelength </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">370 nm</oasis:entry>
         <oasis:entry colname="col3">470 nm</oasis:entry>
         <oasis:entry colname="col4">520 nm</oasis:entry>
         <oasis:entry colname="col5">590 nm</oasis:entry>
         <oasis:entry colname="col6">660 nm</oasis:entry>
         <oasis:entry colname="col7">880 nm</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">33.1 <inline-formula><mml:math id="M143" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24.4</oasis:entry>
         <oasis:entry colname="col3">26.7 <inline-formula><mml:math id="M144" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19.7</oasis:entry>
         <oasis:entry colname="col4">20.3 <inline-formula><mml:math id="M145" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.9</oasis:entry>
         <oasis:entry colname="col5">18.2 <inline-formula><mml:math id="M146" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.5</oasis:entry>
         <oasis:entry colname="col6">13.7 <inline-formula><mml:math id="M147" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.0</oasis:entry>
         <oasis:entry colname="col7">8.0 <inline-formula><mml:math id="M148" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(4.7–160.0<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">(3.8–138.4)</oasis:entry>
         <oasis:entry colname="col4">(2.6–93.0)</oasis:entry>
         <oasis:entry colname="col5">(2.1–84.8)</oasis:entry>
         <oasis:entry colname="col6">(1.7–56.9)</oasis:entry>
         <oasis:entry colname="col7">(1.5–28.6)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">12.3 <inline-formula><mml:math id="M151" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.8</oasis:entry>
         <oasis:entry colname="col3">10.7 <inline-formula><mml:math id="M152" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.5</oasis:entry>
         <oasis:entry colname="col4">6.0 <inline-formula><mml:math id="M153" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.0</oasis:entry>
         <oasis:entry colname="col5">5.8 <inline-formula><mml:math id="M154" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.8</oasis:entry>
         <oasis:entry colname="col6">2.7 <inline-formula><mml:math id="M155" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6</oasis:entry>
         <oasis:entry colname="col7">0.0 <inline-formula><mml:math id="M156" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">20.8 <inline-formula><mml:math id="M158" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.8</oasis:entry>
         <oasis:entry colname="col3">16.0 <inline-formula><mml:math id="M159" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.8</oasis:entry>
         <oasis:entry colname="col4">14.3 <inline-formula><mml:math id="M160" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.8</oasis:entry>
         <oasis:entry colname="col5">12.4 <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.7</oasis:entry>
         <oasis:entry colname="col6">11.0 <inline-formula><mml:math id="M162" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.8</oasis:entry>
         <oasis:entry colname="col7">8.0 <inline-formula><mml:math id="M163" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2277"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were calculated based on
AAE<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula>.
<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> The measured hourly <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from minimum to maximum values.</p></table-wrap-foot></table-wrap>

      <p id="d1e2683">Based on Eqs. (1) and (2), <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were separated from
the total absorption using AAE<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula>. The average
<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values during the campaign were 12.3 <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.8, 10.7 <inline-formula><mml:math id="M169" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.5, 6.0 <inline-formula><mml:math id="M170" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.0, 5.8 <inline-formula><mml:math id="M171" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.8, and 2.7 <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6 Mm<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
370, 470, 520, 590, and 660 nm, respectively (Table 1). Figure 3 shows
fractions of light absorption at specific wavelengths by BrC and BC in the
submicron aerosol. BrC contributed substantially to <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which
accounted for 20.0 %–40.2 % from 370 to 660 nm. The average contributions
of <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the near-UV and blue spectral ranges
(300–500 nm) were higher than those in other visible ranges (520–880 nm),
indicating that BrC was a considerable absorbing material at short
wavelengths in the atmosphere. It should be noted that the assumption for
AAE<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula> would lead to biases in the BrC absorption calculation (Lack
and Langridge, 2013). The uncertainties in AAE<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>) in this
study caused variations of 14.3 %–16.6 %, 10.2 %–12.2 %, 10.3 %–11.5 %, 7.7 %–8.6 %, and 6.6 %–7.1 % in the estimation of BrC absorption
contributions at 370, 470, 520, 590, and 660 nm, respectively (Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2845">Light absorption fractions at specific wavelengths
contributed by BrC and BC under different assumptions regarding the absorption Ångström
exponent of BC (AAE<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula>). The red, blue, and green lines are
the dividing lines between BrC and BC light absorption fractions when
AAE<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula> is 1.1, 0.8, and 1.4, respectively. The grey-filled area
represents variations in the BrC absorption fraction caused by the
uncertainties in AAE<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f03.png"/>

        </fig>

      <?pagebreak page1884?><p id="d1e2891">With respect to the relationship between BrC absorption and OA components,
<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values at 370–660 nm were significantly correlated with OA
mass concentrations (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn></mml:mrow></mml:math></inline-formula> to 0.70, <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) (Fig. S2),
confirming a strong link between BrC chromophores and OA in the southeastern
margin of TP (Lack et al., 2013; Laskin et al., 2015).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>OA source apportionment</title>
      <p id="d1e2937">HERM analysis identified two distinct OA sources, consisting of BBOA and
po-OOA. Each of the OA sources had unique characteristics in terms of the mass spectrum,
temporary variation, and atmospheric processes. The detailed source
apportionment results of OA are shown in Fig. 4.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2942"><bold>(a)</bold> Mass spectra of BBOA and po-OOA. <bold>(b)</bold> Pearson
correlations between mass concentrations of OA components and the tracer
molecular fragments. <bold>(c)</bold> Scatterplots of <inline-formula><mml:math id="M187" 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> vs. <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for BBOA
resolved in this study and reported by the previous literature. <bold>(d)</bold> Variations
in po-OOA mass concentration and its fraction in OA as a function of
O<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The data are grouped in O<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> bins (10 ppb increment).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f04.png"/>

        </fig>

      <p id="d1e3003">The mass spectrum of BBOA resembled that of BBOA obtained in previous
studies (uncentered correlation coefficients of 0.80–0.87) (Crippa et
al., 2013; Ng et al., 2011a; Wang et al., 2017). It was characterized by a
prominent peak of <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60, and a strong positive correlation was found between
BBOA and <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 concentrations (<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) (Figs. 4a and b).
We have known that <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 is a typical molecular fragment of levoglucosan,
mannosan, and galactosan, which are good organic tracers of biomass burning
(Kalogridis et al., 2018; Kim et al., 2017; Reyes-Villegas et al., 2018).
The fraction of <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 60 in the BBOA mass spectrum (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 0.9 %) was higher
than 0.3 % (background level in absence of biomass burning), suggesting
the impact of biomass burning at Gaomeigu (Cubison et al., 2011).
Scatterplots of <inline-formula><mml:math id="M198" 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> vs. <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were used to analyze the aging degree of BBOA
in the atmosphere (Fig. 4c). <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> usually decreases from fresh to
aged biomass burning emissions because of degradation and oxidation
reactions during the atmospheric aging, while <inline-formula><mml:math id="M201" 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> increases
(Paglione et al., 2020). The <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M203" 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> of BBOA resolved in this
study (0.9 % and 6.3 %, respectively) indicate BBOA was less aged,
possibly caused by long-distance regional transport. This is further
demonstrated in our trajectory-related analysis (Sect. 3.3).</p>
      <?pagebreak page1885?><p id="d1e3158">Another OA source was featured by the high correlation with <inline-formula><mml:math id="M204" 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="M205" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), which is a surrogate of the oxidation degree (Aiken et al.,
2008). The most abundant peak in mass spectrum of po-OOA was at <inline-formula><mml:math id="M207" 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="M208" 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>, 27.8 %), which is similar to those in mass spectra of more-oxidized
oxygenated OA (MO-OOA) (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">44</mml:mn></mml:msub><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %) identified frequently
in previous studies (Tobler et al., 2021; Xu et al., 2018; Zhang et al.,
2019). This indicated that this OA source was likely related to extensive
secondary processes occurring during transport (Wang et al., 2017; Xu et
al., 2017). Figure 4d shows that both po-OOA mass concentration and its
fraction in OA increased with increasing O<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M211" 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">0.79</mml:mn></mml:mrow></mml:math></inline-formula> to 0.87);
however, neither of them correlated with RH (Fig. S3). These results
support the possibility that high O<inline-formula><mml:math id="M212" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was the driving factor of po-OOA
formation; thus the term of po-OOA was introduced in this study to stress
the importance of the photochemical-oxidation process in the TP. Moreover, the
temporal variation in mass concentration in po-OOA moderately correlated
with that in BBOA (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>), indicating that a portion
of po-OOA could be derived from oxidation of volatile organic precursors from
biomass burning (Bruns et al., 2016; Posner et al., 2018).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Source-dependent characteristics of BrC absorption</title>
      <p id="d1e3301">To further quantify the contributions of OA sources to BrC light absorption,
a MLR model was applied to retrieve MAC values from BBOA and po-OOA. As
shown in Fig. 5a, the wavelength dependences of MAC<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula> and
MAC<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mtext>po-OOA</mml:mtext></mml:msub></mml:math></inline-formula> were generally described by the power-law relationship
(<inline-formula><mml:math id="M217" 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">0.84</mml:mn></mml:mrow></mml:math></inline-formula> to 0.87), and the AAEs of BrC values for BBOA and po-OOA
were greater than 2.0 (Kirchstetter et al., 2004). The MAC<inline-formula><mml:math id="M218" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula> was 2.78 <inline-formula><mml:math id="M219" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.39 m<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 370 nm and dropped to 0.61 <inline-formula><mml:math id="M222" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07 m<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 660 nm. Taking the near-UV wavelength as the
representative for discussion, the MAC<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula> obtained in this study was
within that range from biomass burning (0.9–7.7 m<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) reported
by laboratory experiments and field measurements studies (Kaskaoutis et al.,
2021; Kumar et al., 2018; Lack et al., 2012; Qin et al., 2018; Wang et al.,
2020; Washenfelder et al., 2015). The differences in light absorption
capacity of OA from biomass burning may be partly associated with biomass
types and combustion efficiencies (Budisulistiorini et al., 2017; Martinsson
et al., 2015; Tian et al., 2019). In addition, the photobleaching effect of
aerosol at different aging degrees can also lead to the variation in
MAC<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula> (Sumlin et al., 2017; Zhong and Jang, 2014). The MAC<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mtext>po-OOA</mml:mtext></mml:msub></mml:math></inline-formula>
was 1.43 <inline-formula><mml:math id="M230" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23 m<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 370 nm, 1.23 <inline-formula><mml:math id="M233" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20 m<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 470 nm, 0.68 <inline-formula><mml:math id="M236" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10 m<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 520 nm, 0.66 <inline-formula><mml:math id="M239" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10 m<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 590 nm, and 0.30 <inline-formula><mml:math id="M242" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04 m<inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 660 nm. Compared with BBOA, more oxygenated po-OOA was possibly
more photochemically bleached, which resulted in the lower MAC (Lee et al.,
2014).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3597"><bold>(a)</bold> The mass absorption cross section of BBOA and po-OOA
(MAC<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula> and MAC<inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mtext>po-OOA</mml:mtext></mml:msub></mml:math></inline-formula>, respectively) at five wavelengths
(<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">370</mml:mn></mml:mrow></mml:math></inline-formula>, 470, 520, 590, and 660 nm). The circle and shaded area
represent the mean MAC values and the standard deviations, respectively. The
dashed line is the power-law fit. <bold>(b)</bold> The light absorption coefficient of BrC
(<inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) from BBOA and po-OOA and its fraction in the total
reconstructed BrC absorption at different wavelengths.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f05.png"/>

        </fig>

      <p id="d1e3652">The MLR model reasonably reconstructed the temporal variation in the
measured <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, with the index of agreement ranging from 0.73
to 0.79 for different wavelengths. The total reconstructed light absorption
coefficient of BrC (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mi mathvariant="normal">r</mml:mi><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was the sum of <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from BBOA and
po-OOA obtained from the MLR model. As shown in Fig. 5b, the average
<inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values from BBOA were 6.0 <inline-formula><mml:math id="M253" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6, 5.0 <inline-formula><mml:math id="M254" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0, 2.8 <inline-formula><mml:math id="M255" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7, 2.6 <inline-formula><mml:math id="M256" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6, and 1.3 <inline-formula><mml:math id="M257" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 Mm<inline-formula><mml:math id="M258" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 370, 470,
520, 590, and 660 nm, respectively. The <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from BBOA contributed
about half (48.7 %–51.1 %) of <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mi mathvariant="normal">r</mml:mi><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 370–660 nm, indicating
that biomass burning is an important primary source of BrC<?pagebreak page1886?> absorption at
Gaomeigu. This was possibly related to transport of pollutants emitted from
South Asia and Southeast Asia during the pre-monsoon season, where biomass
burning activities are intensive (M. Zhang et al., 2020; Zhang et al., 2015).
The po-OOA produced comparable <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values (6.0 <inline-formula><mml:math id="M262" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.2, 5.1 <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6, 2.8 <inline-formula><mml:math id="M264" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.0, 2.8 <inline-formula><mml:math id="M265" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9, and 1.3 <inline-formula><mml:math id="M266" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 Mm<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
at 370, 470, 520, 590, and 660 nm, respectively), suggesting the critical
role of photochemical-oxidation processes in the BrC absorption at Gaomeigu.
Four periods are marked in Fig. 2, characterized by the inclusion of obvious
rising stages for both OA concentrations and <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi mathvariant="normal">abs</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values. The
<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 370 nm from BBOA contributed the most to <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mi mathvariant="normal">r</mml:mi><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (63.4 %) during period I, while the contribution of <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from
po-OOA increased significantly during other periods (52.2 %–64.7 %) (Fig. S4). The rapid increases in <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from po-OOA were likely caused by
photochemical-oxidation processes that were favored by relatively high
O<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> conditions (75–84 ppb) during periods II–IV; for comparison,
the O<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio during period I was 52 ppb. We noted that the
largest <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi mathvariant="normal">r</mml:mi><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> occurred in period II when both primary source
emissions and secondary formation were strong. These results further
highlighted the importance of biomass burning and photochemical oxidation in
light absorption of BrC at Gaomeigu.</p>
      <p id="d1e3923">The air-mass trajectory and CWT analyses were used to identify whether local
emission or regionally transported air pollution was the major source of
<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from OA components at Gaomeigu. Figure 6a shows the 72 h
backward trajectories of the receptor site during the sampling period, and
all those originated from Myanmar. The percentage of the trajectories
with high OA concentration (<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">5.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M278" 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="M279" 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 median
value of hourly OA concentration) exceeds 50 %. From the CWT maps of
<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 370 nm, the spatial distributions of the potential source for
<inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from BBOA and po-OOA were similar (Fig. 6b and c). The source
regions with the highest CWT values were located in northern Myanmar and
along the China–Myanmar border, while the CWT values in the areas
surrounding Gaomeigu were relatively low. This indicates that large
<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> loadings at Gaomeigu were more likely the result of strong
cross-border transport of BrC from biomass burning and secondary formation
than local emission during the pre-monsoon season.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e4003"><bold>(a)</bold> The 72 h backward trajectories of Gaomeigu from 08:00 on
14 March 2018 to 23:00 on 31 March 2018. <bold>(b, c)</bold> Concentration-weighted trajectory
(CWT) maps of <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 370 nm (Mm<inline-formula><mml:math id="M284" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) from BBOA and po-OOA,
respectively.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Radiative effect of BrC</title>
      <p id="d1e4048">As described in Sect. 2.5, a simple model was used to provide a first-order
estimate of the radiative effect of light-absorbing particles. Figure 7a
shows SFEs of BBOA, po-OOA, and BC at wavelengths from 370 to 660 nm. The
SFE peaks of BBOA, po-OOA, and BC were observed at the boundary between the
UV and blue spectra (i.e., <inline-formula><mml:math id="M285" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 450 nm), which were mainly caused
by the high MAC and strong solar irradiance at specific wavelengths. The
integrated SFE of BBOA over the entire solar spectra (370–660 nm) in this
study was 24.2 W g<inline-formula><mml:math id="M286" 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>, comparable to that of primary OA (21 W g<inline-formula><mml:math id="M287" 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>,
300–1000 nm) reported in Lu et al. (2015). The integrated SFE of po-OOA
(12.5 W g<inline-formula><mml:math id="M288" 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 only half of that of BBOA due to the relatively low
MAC. BC had a much higher integrated SFE (226.6 W g<inline-formula><mml:math id="M289" 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>) compared with
OAs. This is consistent with the widely acknowledged view that BC is the
strongest and most important light-absorbing particle in the atmosphere
(Bahadur et al., 2012; Bond et al., 2013). As the concentration of OA in the
atmosphere is generally greater than that of BC, the importance of the BrC
radiative effect was further evaluated by calculating the fraction of solar
radiation absorbed by OA relative to BC. The fractional radiative forcing by
two OAs relative to BC was as high as 48.8 <inline-formula><mml:math id="M290" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.5 %, in which the
radiative forcing of po-OOA relative to BC (24.2 <inline-formula><mml:math id="M291" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.2 %) was
almost equal that of BBOA to BC (24.6 <inline-formula><mml:math id="M292" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.1 %) (Fig. 7b). These
results suggest<?pagebreak page1887?> that BrC emitted from biomass burning and formed by
photochemical oxidation is an efficient radiative-forcing agent, which,
along with BC, can remarkably disturb the radiative balance over the TP.
Thus, the inclusion of BrC in the climate models will provide a better
understanding of climate change in the southeastern TP. It should also be
noted that although BBOA and po-OOA had similar radiative effects, effective
measures on tackling the impact of BrC are to reduce primary emissions and
volatile organic precursors of BrC from biomass burning in the future, since
the intense photochemical environment is an inherent feature of the TP.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e4130"><bold>(a)</bold> Simple forcing efficiency (SFE) of light-absorbing
particles from 370 to 660 nm and the integrated SFE over the entire solar
spectra (370–660 nm). <bold>(b)</bold> The fraction of solar radiation absorbed by OA
components relative to BC. The short line and square inside
the boxes indicate the median and mean values, respectively. The lower and
upper edges of the boxes denote the standard deviation. The vertical bars
(“whiskers”) show the 5th and 95th percentiles. Scattered data
points and the normal distribution curve are also shown.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1879/2023/acp-23-1879-2023-f07.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <?pagebreak page1888?><p id="d1e4153">This study conducted intensive real-time measurement at Gaomeigu in the
southeastern margin of the TP during the pre-monsoon season to investigate
light absorption properties, sources, secondary formation, and the radiative
effect of BrC in the submicron aerosol. Based on the assumption of
AAE<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">BC</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula>, the average <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values were calculated as 12.3 <inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.8, 10.7 <inline-formula><mml:math id="M296" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 11.5, 6.0 <inline-formula><mml:math id="M297" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.0, 5.8 <inline-formula><mml:math id="M298" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.8, and 2.7 <inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6 Mm<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 370, 470, 520, 590, and 660 nm, respectively, which
contributed 20.0 %–40.2 % of the total light absorption. OA was used as an
alternative to BrC due to the significant correlation (<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn></mml:mrow></mml:math></inline-formula> to 0.70,
<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) between its mass concentration and <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The HERM
analysis identified two OA sources, including a BBOA and a po-OOA. BBOA was
less aged as evidenced by the <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (0.9 %) and <inline-formula><mml:math id="M305" 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> (6.3 %) of
the mass spectrum, while significant positive correlation between po-OOA and
O<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> indicated that the photochemical-oxidation process was possibly the main
pathway for the formation of po-OOA. A MLR model combined with
<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and OA concentration was used to estimate the MAC of OA. The
result showed that po-OOA absorbed light less efficiently compared with BBOA
due to a larger photobleaching effect. MAC<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">BBOA</mml:mi></mml:msub></mml:math></inline-formula> and MAC<inline-formula><mml:math id="M309" display="inline"><mml:msub><mml:mi/><mml:mtext>po-OOA</mml:mtext></mml:msub></mml:math></inline-formula> was
2.78 <inline-formula><mml:math id="M310" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.39 and 1.43 <inline-formula><mml:math id="M311" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23 m<inline-formula><mml:math id="M312" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M313" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, at 370 nm and
dropped to 0.61 <inline-formula><mml:math id="M314" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07 and 0.30 <inline-formula><mml:math id="M315" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04 m<inline-formula><mml:math id="M316" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> g<inline-formula><mml:math id="M317" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, at 660 nm. <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from BBOA contributed about half (48.7 %–51.1 %) of the reconstructed <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 370–660 nm, while the rest was
from po-OOA. All the 72 h backward trajectories of the Gaomeigu site came
from Myanmar. The spatial distributions of potential source regions for
<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> showed the highest CWT values for BBOA and po-OOA, which were both in
northern Myanmar and along the China–Myanmar border, demonstrating that
biomass burning emissions and secondary formation from the cross-border
transport of Southeast Asia were the major source of <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mtext>abs-BrC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at
Gaomeigu. According to the integrated SFEs of BBOA, po-OOA, and BC over the
solar spectra (370–660 nm) (24.2, 12.5, and 226.6 W g<inline-formula><mml:math id="M322" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
respectively), the fractional radiative forcings by BBOA (24.6 <inline-formula><mml:math id="M323" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.1 %) and po-OOA (24.2 <inline-formula><mml:math id="M324" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.2 %) relative to BC were obtained,
highlighting the importance of the BrC radiative effect. This study provides
insights into light absorption properties of BrC and its potential impacts
on climate change over the TP and surrounding areas.</p>
</sec>

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

      <p id="d1e4473">Data used to support the findings in this study are archived at the
Institute of Earth Environment, Chinese Academy of Sciences, and are
publicly available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.7496504" ext-link-type="DOI">10.5281/zenodo.7496504</ext-link> (Tian et al., 2022).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4479">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-23-1879-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-23-1879-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4488">QW, YH, and JC designed the campaign. JT and JW conducted field
measurements. QW, JT, and YM conducted data analysis and interpretation. JT wrote
the paper with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4494">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4500">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e4506">This article is part of the special issue “In-depth study of the atmospheric chemistry over the Tibetan Plateau: measurement, processing, and the impacts on climate and air quality (ACP/AMT inter-journal SI)”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4512">The authors are grateful to Weikang Ran, Yonggang Zhang, and other staff at
the sampling sites for their assistance with field sampling.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4517">This research was supported the National Natural Science Foundation of
China (grant no. 41877391), the Second Tibetan Plateau Scientific Expedition
and Research Program (STEP) (grant no. 2019QZKK0602), and the Youth
Innovation Promotion Association of the Chinese Academy of Sciences (grant
nos. 2019402 and 2022416).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4523">This paper was edited by Allan Bertram and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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