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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-21-16413-2021</article-id><title-group><article-title>Mapping gaseous dimethylamine, trimethylamine, ammonia, <?xmltex \hack{\break}?> and their particulate counterparts in marine atmospheres <?xmltex \hack{\break}?> of China's marginal seas – Part 1: Differentiating <?xmltex \hack{\break}?> marine emission from continental transport</article-title><alt-title>Mapping gaseous dimethylamine, trimethylamine, ammonia, and their particulate counterparts</alt-title>
      </title-group><?xmltex \runningtitle{Mapping gaseous dimethylamine, trimethylamine, ammonia, and their particulate counterparts}?><?xmltex \runningauthor{D.~Chen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chen</surname><given-names>Dihui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Shen</surname><given-names>Yanjie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Juntao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Gao</surname><given-names>Yang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6444-6544</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Gao</surname><given-names>Huiwang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4274-0811</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Yao</surname><given-names>Xiaohong</given-names></name>
          <email>xhyao@ouc.edu.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Marine Environment and Ecology, and Frontiers
Science Center for Deep Ocean Multispheres and Earth System, Ministry of
Education, Ocean University of China, Qingdao 266100, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Laboratory for Marine Ecology and Environmental Science, Qingdao
National Laboratory for Marine Science and Technology, Qingdao 266237, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Xiaohong Yao (xhyao@ouc.edu.cn)</corresp></author-notes><pub-date><day>9</day><month>November</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>21</issue>
      <fpage>16413</fpage><lpage>16425</lpage>
      <history>
        <date date-type="received"><day>25</day><month>March</month><year>2021</year></date>
           <date date-type="accepted"><day>1</day><month>October</month><year>2021</year></date>
           <date date-type="rev-recd"><day>26</day><month>September</month><year>2021</year></date>
           <date date-type="rev-request"><day>12</day><month>May</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</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="d1e139">To study sea-derived gaseous amines, ammonia, and primary particulate aminium ions in the marine atmosphere of China's marginal seas, an onboard URG-9000D Ambient Ion Monitor-Ion Chromatograph (AIM-IC, Thermo Fisher) was set up on the front deck of the R/V <italic>Dongfanghong-3</italic> to
semi-continuously measure the spatiotemporal variations in the concentrations of atmospheric trimethylamine (TMA<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>), dimethylamine (DMA<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>), and ammonia (<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) along with their particulate matter (PM<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>) counterparts. In this study, we differentiated marine emissions of the gas species from continental transport using data obtained from 9 to 22 December 2019 during the cruise over the Yellow and Bohai seas, facilitated by additional short-term measurements collected at a coastal site near the Yellow Sea during the summer, fall, and winter of 2019. The data obtained from the cruise and coastal sites demonstrated that the observed TMA<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and protonated trimethylamine (TMAH<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) in PM<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over the Yellow and Bohai seas overwhelmingly originated from marine sources. During the cruise, no significant correlation (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) was observed between the simultaneously measured TMAH<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and TMA<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations. Additionally, the concentrations of TMAH<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in the marine atmosphere varied around <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (average <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation), with several episodic hourly average values exceeding 1 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which were approximately 1 order of magnitude larger than those of TMA<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> (approximately <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.031</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.009</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Moreover, there was a significant negative correlation (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) between the concentrations of TMAH<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Therefore, the observed TMAH<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> was overwhelmingly derived from primary sea-spray aerosols. Using TMA<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> as tracers for sea-derived basic gases and sea-spray particulate aminium ions, the values of non-sea-derived DMA<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and non-sea-spray particulate DMAH<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were estimated. The estimated average values of each species contributed 16 %, 34 %, and 65 % of the observed average
concentrations for non-sea-derived DMA<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and non-sea-spray particulate DMAH<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, respectively. Uncertainties remained in the estimations, as TMAH<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> may decompose into
smaller molecules in seawater to varying extents. The non-sea-derived gases
and non-sea-spray particulate DMAH<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> likely originated from long-range
transport from the upwind continents based on the recorded offshore winds
and increased concentrations of non-sea-salt <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (nss-<inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. The lack of a detectable increase in particulate DMAH<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and nss-<inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations in several <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes did not support the secondary formation of particulate DMAH<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in the marine atmosphere.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e664">Gaseous amines and their particulate counterparts are vital for reduced
nitrogen compounds in the marine atmosphere (Facchini et al., 2008;
Müller et al., 2009; Hu et al., 2015, 2018; van Pinxteren et
al., 2015, 2019; Yu et al., 2016; Xie et al., 2018; Zhou et al., 2019) and are primarily derived from seawater, where glycine betaine (GBT), trimethylamine N-oxide (TMAO), and choline are the three major precursors (Burg and Ferraris, 2008; Lidbury et al., 2015a, b; Jameson et al., 2016; Taubert et al., 2017). GBT, TMAO, and choline are critical for maintaining the osmotic pressure in marine organisms. When released into the environment, they can be degraded by bacteria to trimethylamine (TMA), dimethylamine (DMA), or methylamine (MA) (Lidbury et al., 2015a, b). Gaseous DMA, TMA, and MA may be vital in the formation of secondary particles in the atmosphere by
nucleation (Almeida et al., 2013; Chen et al., 2016; Yao et al., 2018; Zhu
et al., 2019). In addition to biogenic amines, anthropogenic emissions are
known as important sources of amines in the continental atmosphere but not in the marine atmosphere (Ge et al., 2011). Modeling studies have shown that the continental amine species in the gas and/or particle phases can be transported regionally, including downwind marine atmospheres (Yu and Luo,
2014; Mao et al., 2018). Simultaneous real-time measurement of gaseous
amines and their particulate counterparts in the marine atmosphere over the
ocean remains challenging because of artifact signals related to self-vessel
emissions and amine-containing  dew evaporation; however, this is not the case in the continental atmosphere (VandenBoer et al., 2011). The lack of direct measurements restricts the determination of their sources and the relationship between the reduced nitrogen compounds and acid–base neutralization reactions in the marine atmosphere.</p>
      <p id="d1e667">Reduced nitrogen compounds in the ocean can finally decompose into ammonium
ions (<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and other smaller molecules. <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in surface
seawater releases into the marine atmosphere as atmospheric ammonia (<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) under favorable conditions (Johnson et al., 2008; Carpenter et
al., 2012; Paulot et al., 2015). The ocean is an important source of
<inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, contributing approximately 40 % of the natural <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions on Earth (Carpenter et al., 2012; Paulot et al., 2015). In the
literature, large uncertainties remain in estimating <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from
the ocean; for example, the annual emission flux ranges from 2 to
23 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Clarke and Porter, 1993; Dentener and Crutzen, 1994; Sutton et
al., 2013; Paulot et al., 2015). These uncertainties are primarily derived
from two factors: (1) the major marine sources of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are still
disputed, such as seawater, seabirds, or the photolysis of marine organic nitrogen at the ocean surface or in the atmosphere; (2) direct <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> observations in marine atmospheres are restricted as onboard
ambient <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurement techniques sometimes suffer from large
artifacts from <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> contamination associated with onboard human
activities, dew evaporation, and water vapor interference (Quinn et al.,
1990; Clarke and Porter, 1993; Johnson et al., 2008; Keene et al., 2009;
Wentworth et al., 2016; Teng et al., 2017). Additionally, the long-range
transport of atmospheric <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from the continent may also complicate
the source analysis of <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in marine atmospheres (McNaughton et al.,
2004; Uematsu et al., 2004; Zhao et al., 2015; Lutsch et al., 2016).</p>
      <p id="d1e830">To identify and characterize sea-derived gaseous amines, ammonia, and
sea-spray particulate aminium ions as well as secondary particulate aminium ions from continental transport in the atmospheres of China's marginal seas,
we conducted two cruise campaigns: one over the Yellow and Bohai seas in
China from 9 to 22 December 2019 (Campaign A) and another over the Eastern China and Yellow seas from 27 December 2019 to 16 January 2020 (Campaign B). Winter cruise campaigns provide great opportunities for observational
studies due to the following: (1) higher concentrations of nutrients in the
seas at lower sea surface water temperatures, which may favor higher primary
production (Guo et al., 2020) and subsequently increase marine emissions of
gaseous amines and/or aminium-containing sea-spray aerosols; (2) periodically enhanced air–sea exchanges driven by the strong winter Asian monsoon every
4–10 d (Zhu et al., 2018); (3) periodically enhanced long-range transport of anthropogenic pollutants from continents to the seas, which may
enhance the formation of secondary ammonium and aminium aerosols (Guo et
al., 2016; Yu et al., 2016; Xie et al., 2018; Wang et al., 2019).</p>
      <p id="d1e833">In this study, an onboard URG-9000D Ambient Ion Monitor-Ion Chromatograph (AIM-IC, Thermo Fisher) instrument was used to simultaneously measure the
spatiotemporal variations in the concentrations of gaseous amines and
<inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> along with their counterparts in PM<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. Semi-continuous measurement data were analyzed to identify the study targets. This study was
divided into two parts. In this section, we distinguish the marine sources
from the continental transport of reduced nitrogen compounds in marine
atmospheres and subsequently quantify each contribution to the observed
species during the 9–22 December 2019 campaign. In the companion paper (Gao
et al., 2021), we analyzed the spatiotemporal heterogeneity and related
causes and subsequently delivered a hypothesis regarding the marine emissions of reduced nitrogen compounds using the data from the two
campaigns and an additional cruise campaign previously reported by Hu et al.
(2015).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experimental</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sampling periods, locations, and instruments </title>
      <p id="d1e871">Campaign A was conducted from 9 to 19 December 2019 on the R/V <italic>Dongfanghong-3</italic> with a displacement tonnage of 5000. The research vessel was
still within its testing period and used state-of-the-art combustion
technology with low-sulfur diesel. Campaign B started from 27 December 2019
to 17 January  2020 and was organized by another research team. During 20–22 December, the vessel was anchored at the port while the sampling
continued. The 44 h were referred to as the transition period between
campaigns A and B. A standard-sized air-conditioned container was set up on
the front deck to house a suite of instruments including the AIM-IC, a
fast-mobility particle sizer (FMPS, Tsi), a cloud condensation nuclei
counter (CCN-100, Droplet MT), and a single-particle aerosol mass spectrometer (SPAMS 05, Hexin). No human activities occurred on the front
deck during cruising, excluding anchoring at the port. Even during the
anchoring period, human activity on the front deck was rare. The use of the
container on the front deck effectively minimized the self-vessel
contamination by <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and gaseous amines. The front deck was
approximately 10 m a.s.l., and the container height was 2.8 m.</p>
      <p id="d1e888">To ensure that the onboard AIM-IC was operated properly, it was housed in a
mobile air-conditioned mini-container, which was further placed in a
standard container with a 1 m stainless steel sampling probe connected to
the ambient air. The inlet of the sampling probe extended from the top
corner of the standard container facing the sea. The AIM-IC consists of two
major parts: an ambient air sampling system and an ion chromatography
analysis system. For the sampling system, the AIM-IC was equipped with a
PM<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> cyclone and operated at a rate of 3 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The sampled gases and particles in the water solution were stored in two syringes prior to their injection for analysis. The ion chromatography analysis system measured the semi-continuous concentrations of chemically reactive gases. These included <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, gaseous amines, and acidic gases such as <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, along with their particulate counterparts, at a temporal resolution of 1 h. This facilitated the identification of possible interference from onboard dew evaporation, which typically occurs with sunrise (Teng et al., 2017).</p>
      <p id="d1e950">An automatic weather system providing real-time meteorological data is
available on the R/V <italic>Dongfanghong-3</italic>. The heading wind was corrected to
determine the true wind speed and direction. The surface seawater
temperature was not measured during this cruise campaign and typically had a delay of a few hours compared to the ambient air temperature (Deng et al.,
2014).</p>
      <p id="d1e956">On 1–9 August, 12 September to 1 October, and 16 November to 1 December
2019, the AIM-IC was set up at a coastal site in Qingdao (36.34<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
120.67<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) to conduct routine measurements (Fig. 1). Coastal measurement data were obtained from 2 weeks to 4 months before the winter cruise campaign. The sampling site was located in a new high-technology zone near the Yellow Sea, with the shortest distance from
the sea being approximately 1 km in the south. The AIM-IC was housed in a
research lab on the fifth floor of a building, approximately 16 m a.g.l. The sampling probe extended out of the window and was directly connected to the ambient air. Typically, higher biogenic emissions of reduced nitrogen compounds over the continents are expected in the summer than in the winter owing to the temperature effect (Yu et al., 2016; Teng et al., 2017).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Chemical analysis</title>
      <p id="d1e985">The AIM-IC includes an ICS-1100 ion chromatograph, wherein an analytical
column (Ion Pac CS17A – <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> mm) was used to measure cations, including <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, protonated dimethylamine (DMAH<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), and protonated trimethylamine (TMAH<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>), and an AS11-HC (<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> mm) was used to measure anions, including <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Cl</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and organic ions. Methanesulfonic acid solution (5 mM) was used as the eluent for cation analysis, while potassium hydroxide solution (varying from 3 to 40 mM) was used as the gradient eluent for anion analysis. Each analysis took 26–28 min to obtain a complete ion spectrum. The volume of the injection loop installed on the low-pressure valve was 250 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>, which substantially reduced the limits of detection for all ions. The limits
of detection for <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, DMAH<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and TMAH<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> were 0.0004,
0.004, and 0.002 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, in ambient air. The limits of detection for <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were 0.05
and 0.015 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, in ambient air. The ICS-1100 was calibrated onboard prior to obtaining regular measurements, and the second calibration was conducted when the vessel was anchored at the port. The AIM-IC analysis was not affected by ambient water vapor, as the device directly measured the ions. Detailed information regarding the AIM-IC analysis is provided in Teng et al. (2017) and Xie et al. (2018). Notably, strong <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> interference occurred unexpectedly and occasionally and then disappeared during different campaigns. When the interference occurred, DMAH<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> were undetectable because of the increased baseline at the corresponding residence time in the ion chromatograph (Fig. S1 in the Supplement); consequently, some PM<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> DMAH<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentration data are unavailable in Fig. 1. However, the concentrations of gaseous amines were still detected correctly, with a low baseline at the residence. <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> interference remains to be investigated. Additionally, a few surface seawater samples were collected from different sea zones. The <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and aminium ion concentrations in the samples were not measured, as the analytical methods were still hindered by high sea-salt ion contents.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1295">Temporal variations in the concentrations of
<inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, gaseous amines, and their counterparts in
PM<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> at a coastal site during three seasons of 2019.
<bold>(a)</bold> <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and gaseous amines; <bold>(b)</bold> counterparts in
PM<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>; wind speed and direction superimposed on the
top of <bold>(a)</bold>; a map of the sampling site superimposed on <bold>(b)</bold>; the missing data regarding aminium ions in the PM<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> shading in the
gray shadow were due to occasional <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> interference
<bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16413/2021/acp-21-16413-2021-f01.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{Temporal variations in the concentrations of basic gases and their PM${}_{{2.5}}$ counterparts in the coastal atmosphere}?><title>Temporal variations in the concentrations of basic gases and their PM<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> counterparts in the coastal atmosphere</title>
      <p id="d1e1406">Before analyzing the basic gases and their counterparts in the marine
atmosphere, we initially presented their continental concentrations at the
coastal site facing the Yellow Sea as important evidence to facilitate the
analysis of the contributors to these species in the marine atmosphere.
Figure 1a and b show that the TMA<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations in
PM<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were mostly below the detection limit, varying at approximately
<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.001</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (average <inline-formula><mml:math id="M106" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation),
regardless of the presence of offshore or onshore winds during short-term
measurements in the three seasons of 2019. The DMA<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and DMAH<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>
concentrations varied at <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.018</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.021</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.017</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.013</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, respectively, which were approximately 1 order of magnitude larger than those of TMA<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>. TMA<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations in the upwind continental and
coastal atmospheres were substantially lower than those reported in the
literature, by up to a few tens of <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Ge et al., 2011). However,
Gibb et al. (1999) reported a low average TMA<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> (0.5 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and
particulate TMAH<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> (0.5 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in the marine atmosphere over the
Arabian Sea on 16 November to 19 December 1994. Xie et al. (2018) reported
that TMAH<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were comparable to those of DMAH<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in
atmospheric particles collected at two other coastal sites located
approximately 20 km from the study area, as listed in Table S1 in the Supplement. The cause of
this change is beyond the scope of this study but may be due to the large decrease in manure application, based on our recent survey in the Qingdao
area.</p>
      <p id="d1e1653">The DMA<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and DMAH<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations in PM<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> with offshore
winds from the north were substantially higher than those with onshore winds
from the south or southeast (top of Fig. 1a), suggesting that their
continental emissions and related secondary sources were stronger. Moreover,
the concentrations of DMA<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and DMAH<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> were moderately correlated
with those of <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, namely, <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>DMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M130" 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>, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msup><mml:mtext>DMAH</mml:mtext><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mo>]</mml:mo><mml:mtext>PM2.5</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>PM2.5</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M133" 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>, <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Generally, the
DMA<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and DMAH<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were approximately 1/200 of those
of the corresponding <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Spatiotemporal variations in the concentrations of basic gases over the seas</title>
      <p id="d1e1924">Throughout Campaign A, the TMA<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations varied at
approximately <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.031</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.009</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 2a–c), with three peaks occurring at 4–5 d intervals (gray shadowing in Fig. 2c). Peaks 1 and 2 were generally associated with offshore winds, while peak 3 was mostly associated with onshore winds (Fig. 2b). The peaks lasted from tens to
dozens of hours and were not induced by the onboard dew evaporation at
sunrise. For example, the highest value (0.060 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) occurred at 23:00 LT (local time; UTC<inline-formula><mml:math id="M143" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>08:00) on 16 December. The observed TMA<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations were 1 order of magnitude higher than those measured in the coastal atmosphere during the summer, fall, and winter. This suggested that the TMA<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> observed during Campaign A was largely derived from marine sources rather than from long-range continental transport. The same conclusion can be drawn by analyzing the three peaks of TMA<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and its temporal variations during the port-anchoring period. For example, during peak 1 (Fig. 2a), the concentrations of TMA<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> increased by approximately 100 % from 20:00 LT on 9 December to 11:00 LT on 10 December, with an approximately 30 % decrease in the non-sea-salt <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (nss-<inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) concentration (from 22 to 16 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Fig. 2b). Moreover, the peaks in the TMA<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations corresponded to troughs in the
nss-<inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations during peak 3, as shown in Fig. 2c
and d. The self-vessel emissions of nss-<inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were negligible because of the use of low-sulfur diesel, which is discussed
later. The increased nss-<inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations in PM<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> may be a good indicator of continental transport and vice versa.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2165">Spatiotemporal variations in the concentrations of basic
gases and other parameters during cruise campaigns in the Yellow and Bohai
seas on 9–22 December 2019. <bold>(a)</bold> Mapping TMA<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> by concentration; <bold>(b)</bold> mapping onboard recorded wind speeds and directions;
time series of <bold>(c)</bold> TMA<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, <bold>(d)</bold> DMA<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, <bold>(e)</bold> NH<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub></mml:math></inline-formula>, and <bold>(f)</bold>
ambient air temperature recorded onboard. The time series of nss-<inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in
PM<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were shown as indicators of anthropogenic air
pollutants in <bold>(d)</bold>; not all data were shown in <bold>(b)</bold> to avoid clustering.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16413/2021/acp-21-16413-2021-f02.png"/>

        </fig>

      <p id="d1e2262">The concentrations of DMA<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> varied at approximately <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.006</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> (Fig. 2d) and were significantly higher than those of
TMA<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Unlike TMA<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, continental transport was
likely an important contributor to the DMA<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> observed
in the marine atmosphere, particularly during peak 1, when higher
nss-<inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations were observed in PM<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 2c–e).
The DMA<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were negatively correlated
with those of TMA<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> during peak 1, namely, <inline-formula><mml:math id="M175" 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">0.35</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) between TMA<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and DMA<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M179" 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">0.17</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) between
TMA<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. This suggested that most of the
DMA<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were likely derived from continental transport rather than marine sources. During peak 2, increased TMA<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>,
DMA<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, and <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were concurrently observed with
increasing nss-<inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations, suggesting that both marine
emissions and continental transport simultaneously contributed to the
observed DMA<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. During the port-anchoring period from
20 to 22 December, the DMA<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations varied slightly and were moderate and low, respectively. However, the TMA<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>
concentrations continuously increased by over 100 % as the ambient temperature increased (Fig. 2c and f). Additionally, the
nss-<inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> concentrations of PM<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> varied greatly and followed
a bell-shaped pattern during the port-anchoring period.</p>
      <p id="d1e2645">Additionally, the <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations varied at approximately
<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from 9 to 22 December. The variation narrowed to approximately <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during the
port-anchoring period from 20 to 22 December. When the data during Campaign A were used for the analysis, the <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations were
significantly correlated with those of DMA<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, namely, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>DMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M204" 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">0.71</mml:mn></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). However, there was no correlation between <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
TMA<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Spatiotemporal variations in the aminium and {$\protect\chem{{NH_{{4}}}^{{+}}}$} ion
concentrations of PM${}_{{2.5}}$ over the seas}?><title>Spatiotemporal variations in the aminium and <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> ion
concentrations of PM<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> over the seas</title>
      <p id="d1e2863">Figure 3a–f show the spatiotemporal variations in the TMAH<inline-formula><mml:math id="M210" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, DMAH<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations of PM<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> throughout Campaign A from 9 to 22 December, during which the TMAH<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations varied greatly at approximately <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. However, they narrowed at approximately <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during the port-anchoring period. The TMAH<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations generally increased from <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on 9 December to <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on 16 December (Fig. 3a) and subsequently decreased to approximately 0.2 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> thereafter, excluding some strong peaks from 0.62 to 1.24 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 03:00–05:59 LT and from 1.02 to 1.81 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 14:00–16:59 LT on 18 December (gray shadowing representing peak 4 in Fig. 3a–d). The peaks reproduced the episodes observed in the marine atmosphere over the Yellow
Sea in May 2012 (Hu et al., 2015) and were repeatedly observed during Campaign B (Gao et al., 2021). However, they were not observed in several
other marine cruise campaigns conducted across the marginal seas of China
and the northwestern Pacific Ocean (Hu et al., 2018; Xie et al., 2018).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3110">Spatiotemporal variations in the aminium ions and
<inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations of
PM<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and other parameters during cruise campaigns
over the Yellow and Bohai seas on 9–22 December 2019 (time series of <bold>(a)</bold> TMAH<inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, <bold>(b)</bold> DMAH<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, and <bold>(c)</bold>
<inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>;
<bold>(d)</bold> wind speeds (WS); <bold>(e)</bold> mapping of the TMAH<inline-formula><mml:math id="M233" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in
concentration; <bold>(f)</bold> mapping of the <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
concentration. The time series of <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is shown as an indicator in <bold>(b)</bold>; that of <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M237" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> is shown as an indicator of sea-spray aerosols in <bold>(c)</bold>. To better show the spatiotemporal distributions of TMAH<inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
during peaks 1, 2, and 4, only the data during periods shaded in <bold>(a–d)</bold> were used in <bold>(e)</bold> and <bold>(f)</bold> to avoid clustering).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16413/2021/acp-21-16413-2021-f03.png"/>

        </fig>

      <p id="d1e3297">As the TMAH<inline-formula><mml:math id="M240" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were approximately 2 orders of magnitude higher than those observed at the coastal site during the three seasons of
2019, the observed TMAH<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> was largely derived from marine sources. The
TMAH<inline-formula><mml:math id="M242" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations followed a spatiotemporal pattern that clearly
differed from those of DMAH<inline-formula><mml:math id="M243" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, while the latter two
ions exhibited a similar spatiotemporal pattern during most periods of
Campaign A (Fig. 3a–c). A significant negative correlation (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) was observed between the concentrations of TMAH<inline-formula><mml:math id="M246" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and
<inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in PM<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (not shown). The spatiotemporal pattern of the
TMAH<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentration also significantly differed from those of
nss-<inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 2d) and <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 3b), which are regarded
as tracers of long-range transported continental pollutants and fresh-vessel plumes. For example, extremely strong TMAH<inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> peaks occurred
concurrently with low nss-<inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations accompanied by high <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations under high wind speeds, which are common indicators of sea-spray aerosols (Feng et al., 2017). Moreover, the TMAH<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were approximately 1 order of magnitude larger than those of TMA<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, and no significant
correlation was observed between them (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). This suggests
that the observed TMAH<inline-formula><mml:math id="M260" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> may not be derived from the neutralization
reactions of TMA<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> with acids in the marine atmosphere and may have been derived from primary sea-spray organic aerosols (Hu et al., 2015,
2018). Primary sea-spray organic aerosols mainly contain primary and
degraded biogenic organics (Ault et al., 2013; Prather et al., 2013; Quinn
et al., 2015; Dall'Osto et al., 2019).</p>
      <p id="d1e3545">The DMAH<inline-formula><mml:math id="M262" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations varied at approximately <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.065</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.068</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> from 9 to 22 December; however, they varied at approximately <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.04</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during the port-anchoring period. The 25th percentile value of DMAH<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> during Campaign A was
0.021 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, suggesting a low background concentration in the marine area. The DMAH<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were significantly correlated with those of <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M270" 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">0.71</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; data not shown). When the data obtained at 03:00–05:59 LT and 14:00–16:59 LT on 18 December (strong peaks of TMAH<inline-formula><mml:math id="M272" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> with a simultaneous increase in DMAH<inline-formula><mml:math id="M273" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) were removed for correlation, the <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value improved to 0.78. Unlike TMAH<inline-formula><mml:math id="M275" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, the observed DMAH<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> may have been partially derived from acid–base  neutralization reactions in the ambient air in addition to the primary sea-spray organic aerosols. For example, a large increase in DMAH<inline-formula><mml:math id="M277" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations occurred concurrently with strong peaks in the TMAH<inline-formula><mml:math id="M278" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations (gray shadowed peak 4 in Fig. 3a and b).</p>
      <p id="d1e3760">The <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations of PM<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> varied greatly at
approximately <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during Campaign A (Fig. 3c).
However, the 25th percentile values were as low as 0.21 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, suggesting low marine background values. The 50th percentile
value was also only 1.2 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which was considerably smaller
than the average owing to the presence of strong peaks in <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
concentrations. The increased <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> concentrations associated with
<inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and nss-<inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during Campaign A were likely due to
the long-range transport from the upwind continents.</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="d1e3917">Correlations between the concentrations of basic gases and ambient temperature. <bold>(a)</bold> TMA<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>; <bold>(b)</bold> DMA<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>; <bold>(c)</bold> <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The colored bar represents different wind speeds; full symbols represent the data observed throughout the campaign, excluding the period from 15:00 LT on 16 December to 01:00 LT on 19 December 2019.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16413/2021/acp-21-16413-2021-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Effects of temperature on the observed basic gases in the marine atmosphere</title>
      <p id="d1e3982">As mentioned above, the observed TMA<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> likely originated from marine sources. We plotted the concentrations of TMA<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> against the ambient air temperature (<inline-formula><mml:math id="M294" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) in Fig. 4a, which generally increased with increasing <inline-formula><mml:math id="M295" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>. We further separated the average hourly wind speed (WS) into three categories: <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mtext>WS</mml:mtext><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.0</mml:mn><mml:mo>&lt;</mml:mo><mml:mtext>WS</mml:mtext><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mtext>WS</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. At <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mtext>WS</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, the data obtained from 15:00 LT on 16 December to 01:00 LT on 19 December, including peaks 3 and 4, were separately considered as half-full symbols in Fig. 4a. The concentrations of TMA<inline-formula><mml:math id="M300" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> (half-full symbols) generally exceeded those of the other gases at the same <inline-formula><mml:math id="M301" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, with which they exhibited a moderately good exponent correlation (<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>TMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mn mathvariant="normal">0.04</mml:mn><mml:mi>T</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M303" 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">0.72</mml:mn></mml:mrow></mml:math></inline-formula>). From 15:00 LT on 16 December to 01:00 LT on 19 December, stronger emission potentials of TMA<inline-formula><mml:math id="M304" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> to the marine atmosphere were expected in the corresponding marine zone. However, the measured concentrations of TMAH<inline-formula><mml:math id="M305" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and seawater pH in surface seawater are required to confirm this.</p>
      <p id="d1e4175">Following the same approach, the DMA<inline-formula><mml:math id="M306" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
were plotted against <inline-formula><mml:math id="M308" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, as shown in Fig. 4b and c, respectively. These
values generally increased with increasing <inline-formula><mml:math id="M309" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>. The <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
(half-full symbols) were strongly correlated with <inline-formula><mml:math id="M311" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mi>T</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M313" 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">0.96</mml:mn></mml:mrow></mml:math></inline-formula>). As lower concentrations of
nss-<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were generally observed
simultaneously, the continental transport of <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was greatly
reduced; therefore, the observed <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was mainly derived from the
seas. Therefore, the seas were the net source of <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at the time of
measurement. However, at the same <inline-formula><mml:math id="M320" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, the <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
(half-full symbols) were generally lower than those during other periods in
this study. The concentrations of <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in surface seawater may
have been lower at the time of measurement. However, this may not be the
case, as higher concentrations of TMAH<inline-formula><mml:math id="M323" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> were expected. Alternatively,
the continental transport of <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> may have made an important
contribution to the observed <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> during most other periods when the
seas were the net <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> sink.</p>
      <p id="d1e4427">DMA<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> exhibited an extremely good exponent correlation with <inline-formula><mml:math id="M328" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>
(half-full symbols) at the measurement time (<inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>DMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mi>T</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M330" 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">0.91</mml:mn></mml:mrow></mml:math></inline-formula>). At the same <inline-formula><mml:math id="M331" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, the DMA<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>
concentrations (half-full symbols) were not always higher or lower than the
others. We considered these two hypotheses: in hypothesis 1, the observed DMA<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations exceeded those predicted by the regression
equation using the ambient <inline-formula><mml:math id="M334" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> as the input; the seas were the net sinks of
DMA<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>. In hypothesis 2, including all the others, measurements of DMAH<inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in the surface seawater were required to confirm whether the seas
were net sources or sinks of DMA<inline-formula><mml:math id="M337" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>.</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="d1e4553">Correlations of DMA<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and
NH<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub></mml:math></inline-formula> with TMA<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and
time series of the calculated DMA<inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mtext>#</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> and NH<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub><mml:mtext>#</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>. <bold>(a)</bold>
DMA<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> vs. TMA<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>; <bold>(b)</bold>
NH<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub></mml:math></inline-formula> vs. TMA<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>; <bold>(c)</bold>
DMA<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mtext>#</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>; <bold>(d)</bold> NH<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub><mml:mtext>#</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>. The colored bars in <bold>(c)</bold> and <bold>(d)</bold> represent the percentages of transported DMA<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mtext>#</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> and
NH<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub><mml:mtext>#</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> in each corresponding
observed value.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16413/2021/acp-21-16413-2021-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Estimating the sea-derived DMA${}_{\text{gas}}$ and {$\protect\chem{NH_{\text{3gas}}}$} in the marine atmosphere}?><title>Estimating the sea-derived DMA<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the marine atmosphere</title>
      <p id="d1e4753">To estimate the sea-derived DMA<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the marine atmosphere, we plotted the DMA<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations against TMA<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, as shown in Fig. 5a and b. The purple-red and dark-green markers represent the data obtained, with increasing concentrations of the three species from 10:00 LT on 14 December to 23:00 LT on 16 December (increasing period) and with decreasing concentrations from 23:00 LT on 16 December to 19:59 LT on 17 December (decreasing period) during peak 3, respectively; these were analyzed separately. A good correlation was obtained between DMA<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and TMA<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> during the increasing period (<inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>DMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>TMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M361" 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">0.86</mml:mn></mml:mrow></mml:math></inline-formula>, and
<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). The good correlation suggested that DMA<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> was likely
released with TMA<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> from the seawater and facilitated the estimation of non-sea-derived DMA<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> (DMA<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) concentrations using the regression equation. We assumed that any data beyond the purple-red dashed line reflected the non-sea-derived DMA<inline-formula><mml:math id="M367" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, which can be attributed to continental transport. Therefore, we assumed that the DMA<inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> concentrations were equal to the observed values of DMA<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> minus the predicted values obtained using <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>DMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>TMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; the calculated DMA<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values are shown in Fig. 5c. During peak 1, the calculated DMA<inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> contributed over 40 % of the observed DMA<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> for 12 h. Similar calculated results for DMA<inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> were obtained during peak 2.</p>
      <p id="d1e5040">However, the equation for the decreasing period was as follows:
<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mtext>DMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>TMA</mml:mtext><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M376" 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>, and
<inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>. The decreasing <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value and the increasing slope
suggest that the TMAH<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in the surface seawater may decompose into
DMAH<inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to different extents (Lidbury et al., 2015a, b; Xie et al., 2018). The two regression curves (purple-red and
dark-green dashed lines in Fig. 5a and b) created a large triangular zone
that likely reflected the different ratios of DMA<inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>TMA<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> in
primary marine emissions on the cruise route. Based on the triangular zone
in Fig. 5a, the aforementioned calculations should be considered the lower limit of DMA<inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e5168">The same approach was employed to analyze the <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> results, as
shown in Fig. 5b and d. During peak 1, the calculated non-sea-derived
<inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NH</mml:mi><mml:msup><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub><mml:mi mathvariant="normal">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) contributed over 40 % of the observed <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for 17 h. During peak 2, the calculated
<inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NH</mml:mi><mml:msup><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub><mml:mi mathvariant="normal">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> contributed over 40 % of the observed <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for 24 h.</p>
      <p id="d1e5247">Overall, the DMA<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">NH</mml:mi><mml:msup><mml:msub><mml:mi/><mml:mtext>3gas</mml:mtext></mml:msub><mml:mi mathvariant="normal">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>
concentrations varied at approximately <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.001</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.18</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.39</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively.
The calculated average DMA<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msup><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub><mml:mi mathvariant="italic">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub><mml:mi mathvariant="normal">#</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values accounted for 16 % and 34 %
of the observed averages of each species, respectively. The estimations
suggested an appreciable continental contribution to the observed
DMA<inline-formula><mml:math id="M397" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> during Campaign A.</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="d1e5371">Correlation analyses of different variables in
PM<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> and the time series of the calculated DMAH<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>. <bold>(a)</bold>
DMAH<inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> vs. TMAH<inline-formula><mml:math id="M403" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>; <bold>(b)</bold>
time series of DMAH<inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula>; <bold>(c)</bold> DMAH<inline-formula><mml:math id="M405" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> vs. <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/16413/2021/acp-21-16413-2021-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Estimation of non-sea-spray particulate DMAH${}^{{+}}$ in the marine atmosphere}?><title>Estimation of non-sea-spray particulate DMAH<inline-formula><mml:math id="M407" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in the marine atmosphere</title>
      <p id="d1e5494">We plotted the concentrations of DMAH<inline-formula><mml:math id="M408" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> against those of TMAH<inline-formula><mml:math id="M409" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in
PM<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 6a) using the data obtained from 15:00 LT on 16 December to
01:00 LT on 19 December (<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msup><mml:mtext>DMAH</mml:mtext><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mo>]</mml:mo><mml:mtext>PM2.5</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mtext>TMAH</mml:mtext><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mo>]</mml:mo><mml:mtext>PM2.5</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M412" 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">0.91</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). During this period, largely increased concentrations of DMAH<inline-formula><mml:math id="M414" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M415" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> were observed under high wind speeds of 9–13 <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The good correlation suggested that the observed DMAH<inline-formula><mml:math id="M417" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> was likely released with TMAH<inline-formula><mml:math id="M418" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> as amine-containing sea-spray aerosols in the atmosphere and facilitated the calculation of sea-derived DMAH<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> using TMAH<inline-formula><mml:math id="M420" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> as a tracer of sea-spray aerosols. Thus, the non-sea-derived DMAH<inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations in PM<inline-formula><mml:math id="M422" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>, marked as DMAH<inline-formula><mml:math id="M423" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula>, were assumed to be equal to the observed DMAH<inline-formula><mml:math id="M424" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> values minus the predicted values (sea-derived DMAH<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>) using the regression equation. The calculated DMAH<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> values are shown in Fig. 6b. The DMAH<inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> concentrations varied at approximately <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.042</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.070</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> throughout Campaign A, during which the calculated average DMAH<inline-formula><mml:math id="M430" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> accounted for 65 % of the observed average. Additionally, the calculated DMAH<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> values accounted for over 80 % of the observed values in 26 % of the Campaign A period. The estimations suggested that the observed DMAH<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> originated predominantly from long-range continental transport and/or secondary formation in the marine atmosphere. The analysis was supported by the good correlation between the concentrations of DMAH<inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> and those of <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, namely, <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:msup><mml:mtext>DMAH</mml:mtext><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mo>]</mml:mo><mml:mtext>PM2.5</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0089</mml:mn><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mtext>PM2.5</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M436" 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">0.82</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 6c). The slope of 0.0089 was approximately 50 % larger than that obtained in the coastal atmosphere (0.0059), suggesting more DMA<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> partitioning in PM<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> in the marine atmosphere than in the coastal atmosphere (Pankow, 2015; Xie et al., 2018).</p>
      <p id="d1e5913">Moreover, the decomposition of TMAH<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> to DMAH<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> may have occurred in
surface seawater and/or the marine atmosphere, to an extent, and the
estimated DMAH<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> should be considered the upper limit. Notably, the <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and TMAH<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were negatively correlated
during Campaign A, and no primary particulate <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> from sea-spray
aerosols was identified.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><?xmltex \opttitle{Formation and chemical conversion of aminium ions in the transported and self-vessel {$\protect\chem{SO_{{2}}}$} plumes}?><title>Formation and chemical conversion of aminium ions in the transported and self-vessel <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes</title>
      <p id="d1e6004">When the sea-spray particulate DMAH<inline-formula><mml:math id="M447" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> was deducted, the increased
concentrations of DMAH<inline-formula><mml:math id="M448" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> were generally associated with increased
nss-<inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. Combining this with the
moderate correlation between DMAH<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, we inferred
that DMAH<inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> likely originated from concurrent secondary formation
with <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. However, we separated the air pollutant plumes into two
groups. Group 1 represented an increase in nss-<inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> together with <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, while group 2 represented an increase
in <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> without increases in nss-<inline-formula><mml:math id="M459" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>.
Group 1 likely reflected the transport of aged air pollutant plumes from the
continents, while group 2 may reflect self-vessel <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes. As shown
in Figs. 6b and 3b–c, the concentrations of DMAH<inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the self-vessel <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes did not increase in the intervals
between peaks 1 and 2 and between peaks 2 and 3. Therefore, no fresh
formation of DMAH<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="italic">#</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the self-vessel emissions
was detected. However, the concentrations of TMAH<inline-formula><mml:math id="M467" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> decreased in some
self-vessel <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plumes. The TMAH<inline-formula><mml:math id="M469" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations were
approximately 1 order of magnitude higher than those of TMA<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> in the marine atmosphere. Assuming that the decreased TMAH<inline-formula><mml:math id="M471" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> was
released from PM<inline-formula><mml:math id="M472" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> to the gas phase, a simultaneous large spike in
TMA<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> should be observed. However, this was not the case, as shown in
Fig. 1c. The decreased TMAH<inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> may persist in PM<inline-formula><mml:math id="M475" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> but could not be detected by AIM-IC.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions and implications</title>
      <p id="d1e6362">In continental China upwind of the Yellow Sea, the TMA<inline-formula><mml:math id="M476" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and
TMAH<inline-formula><mml:math id="M477" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations in PM<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were extremely low (<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.001</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M480" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), mostly below the detection limit of the AIM-IC.
Considering the observations as a reference, the largely increased
TMA<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.031</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.009</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M483" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and particulate TMAH<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>
(<inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.28</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) concentrations in the marine atmosphere
were attributed to marine emissions. Therefore, TMA<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and particulate
TMAH<inline-formula><mml:math id="M488" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> can be used as unique tracers to quantify the marine emissions of
DMA<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and particulate DMAH<inline-formula><mml:math id="M491" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> as well as the long-range transport from upwind continental China.</p>
      <p id="d1e6552">Through comprehensive comparison and correlation analyses, the high
concentrations of TMAH<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in PM<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> observed over the Yellow and
Bohai seas, with episodic hourly averages exceeding 1 <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, were inferred to originate from strong primary sea-spray aerosol
emissions. Moreover, the TMA<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations generally increased with
increasing ambient temperature and sea surface wind speeds, suggesting that
the observed TMA<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> was likely released from the surface seawater.
However, the TMA<inline-formula><mml:math id="M497" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentrations were substantially lower than those
of particulate TMAH<inline-formula><mml:math id="M498" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> and were not significantly correlated. Although different mechanisms have been reported in the literature for the release of
TMA<inline-formula><mml:math id="M499" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and particulate TMAH<inline-formula><mml:math id="M500" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> from the seas, the lack of a
significant correlation between them was surprising and was explored in the
companion study.</p>
      <p id="d1e6647">The DMA<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> concentrations varied at approximately
<inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.006</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.53</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during Campaign A,
wherein at least 16 % and 34 % of the observational values were derived
from continental transport, respectively. The sea-derived DMA<inline-formula><mml:math id="M506" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> and
<inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were likely released with TMA<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> as they peaked
simultaneously. The DMAH<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations in PM<inline-formula><mml:math id="M510" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> varied at
approximately <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.065</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.068</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M512" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during Campaign A, 65 %
of which was derived from continental transport.</p>
      <p id="d1e6793">Our analysis results did not support the occurrence of photolysis of marine
organic nitrogen to generate <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the marine atmosphere
during winter, as there was no correlation between the sea-derived
<inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and particulate TMAH<inline-formula><mml:math id="M515" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentrations. Additionally, peaks
2 and 3 of <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> persisted for dozens of hours under strong winds and
were therefore unlikely to be derived from seabird emissions. A good
exponent correlation was observed between the observed <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations and <inline-formula><mml:math id="M518" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> during the period without continental air pollutant
transport, suggesting that the observed <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was released from
seawater. <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from seabirds were unlikely contributors to the
observed <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mtext>3gas</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the marine atmosphere during winter; however, this
may not have been the case during other seasons.</p>
      <p id="d1e6891">Additionally, no formation of particulate <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msup><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and DMAH<inline-formula><mml:math id="M523" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> in
the self-vessel <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plume was observed in the marine atmosphere.
However, the particulate TMAH<inline-formula><mml:math id="M525" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula> concentration clearly decreased in the
self-vessel <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> plume without a simultaneous increase in the
TMA<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mtext>gas</mml:mtext></mml:msub></mml:math></inline-formula> concentration. Chemical conversion of particulate TMAH<inline-formula><mml:math id="M528" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>
likely occurred in the plume, while AIM-IC could not detect the products.
This requires further investigation.</p>
</sec>

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

      <p id="d1e6971">The datasets related to this work can be accessed via <ext-link xlink:href="https://doi.org/10.17632/3kpnkkr55c.1" ext-link-type="DOI">10.17632/3kpnkkr55c.1</ext-link> (Chen, 2021).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6977">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-21-16413-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-21-16413-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6986">XY designed the research. DC carried out the
field measurements and analyzed the data. XY helped in interpretation of the results. All the authors wrote the paper and contributed toward improving the
paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6992">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e6998">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgement</title><p id="d1e7004">This research is supported by the Natural Science Foundation of China (grant
no. 41776086), the National Key Research and Development Program of China (grant no. 2016YFC0200504), and the Fundamental Research Funds for the Central
Universities (202072002).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7009">This research is supported by the Natural Science Foundation of China (grant no. 41776086), the National Key Research and Development Program of China (grant no. 2016YFC0200504), and the Fundamental Research Funds for the Central Universities (grant no. 202072002).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7016">This paper was edited by Maria Kanakidou and reviewed by three anonymous referees.</p>
  </notes><?xmltex \hack{\newpage}?><ref-list>
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