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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-16-2139-2016</article-id><title-group><article-title>Secondary formation of nitrated phenols: insights from observations during
the Uintah Basin Winter Ozone Study (UBWOS) 2014</article-title>
      </title-group><?xmltex \runningtitle{Secondary formation of nitrated phenols}?><?xmltex \runningauthor{B.~Yuan et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Yuan</surname><given-names>Bin</given-names></name>
          <email>bin.yuan@noaa.gov</email>
        <ext-link>https://orcid.org/0000-0003-3041-0329</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Liggio</surname><given-names>John</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Wentzell</surname><given-names>Jeremy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Li</surname><given-names>Shao-Meng</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7628-6581</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff4">
          <name><surname>Stark</surname><given-names>Harald</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0731-1202</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Roberts</surname><given-names>James M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8485-8172</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Gilman</surname><given-names>Jessica</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Lerner</surname><given-names>Brian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8721-8165</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Warneke</surname><given-names>Carsten</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Li</surname><given-names>Rui</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Leithead</surname><given-names>Amy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2860-0468</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Osthoff</surname><given-names>Hans D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7155-6493</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Wild</surname><given-names>Robert</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff6">
          <name><surname>Brown</surname><given-names>Steven S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff6">
          <name><surname>de Gouw</surname><given-names>Joost A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0385-1826</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>NOAA Earth System Research Laboratory (ESRL), Chemical Sciences Division,
Boulder, CO, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Cooperative Institute for Research in Environmental Sciences, University
of Colorado at Boulder, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Environment Canada, Science and Technology Branch, Toronto, ON, Canada</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Aerodyne Research Inc., Billerica, MA, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Chemistry, University of Calgary, Calgary, AB, Canada</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Chemistry and Biochemistry, University of Colorado at
Boulder, CO, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Bin Yuan (bin.yuan@noaa.gov)</corresp></author-notes><pub-date><day>24</day><month>February</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>4</issue>
      <fpage>2139</fpage><lpage>2153</lpage>
      <history>
        <date date-type="received"><day>30</day><month>September</month><year>2015</year></date>
           <date date-type="rev-request"><day>23</day><month>October</month><year>2015</year></date>
           <date date-type="rev-recd"><day>29</day><month>January</month><year>2016</year></date>
           <date date-type="accepted"><day>12</day><month>February</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016.html">This article is available from https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016.pdf</self-uri>


      <abstract>
    <p>We describe the results from online measurements of nitrated phenols using a
time-of-flight chemical ionization mass spectrometer (ToF-CIMS) with acetate
as reagent ion in an oil and gas production region in January and February
of 2014. Strong diurnal profiles were observed for nitrated phenols, with
concentration maxima at night. Based on known markers (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>,
CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, primary emissions of nitrated phenols were not important in this
study. A box model was used to simulate secondary formation of phenol,
nitrophenol (NP), and dinitrophenols (DNP). The box model results indicate
that oxidation of aromatics in the gas phase can explain the observed
concentrations of NP and DNP in this study. Photolysis was the most
efficient loss pathway for NP in the gas phase. We show that aqueous-phase
reactions and heterogeneous reactions were minor sources of nitrated phenols
in our study. This study demonstrates that the emergence of new ToF-CIMS
(including PTR-TOF) techniques allows for the measurement of intermediate
oxygenates at low levels and these measurements improve our understanding on
the evolution of primary VOCs in the atmosphere.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Nitrated phenols are a family of aromatic compounds with both nitro
(-NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and hydroxyl groups (-OH) connected to a benzene ring. Nitrated
phenols have been detected in the gas phase, aerosol, cloud water, and
rainwater  (Harrison et al., 2005a). Many studies have shown
that nitrated phenols are one of the important components of brown carbon in
aerosol  (Desyaterik et al., 2013; Mohr et al., 2013; Zhang et al., 2013; Lin
et al., 2015), as they absorb light in the atmosphere  (Bejan et
al., 2007). Photolysis of some nitrated phenols was reported to produce
nitrous acid (HONO)  (Bejan et al., 2006) and hydroxyl (OH) radicals
(Cheng et al., 2009), while the oxidation and photolysis of them
contribute to secondary organic aerosol (SOA) formation, especially in
biomass burning plumes  (Mohr et al., 2013; Kitanovski et al.,
2012; Lauraguais et al., 2014). There is also evidence that nitrated phenols
are phytotoxic and contribute to forest decline  (Rippen et al.,
1987; Natangelo et al., 1999). Some nitrated phenols are known to be
mutagenic and are of concern to human health  (Fernandez et al.,
1992).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Formation of phenol, nitrophenol (NP), and dinitrophenol (DNP) from
the photooxidation of benzene in the atmosphere (Jenkin et al., 2003).
Reactions in blue are included in the MCM v3.2, whereas reactions in red are
added or evaluated in this study. For NP, DNP, and the intermediate radicals,
other isomers are expected but not shown for the sake of clarity.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f01.png"/>

      </fig>

      <p>Sources of nitrated phenols in the atmosphere include emissions from vehicle
exhaust  (Inomata et al., 2013; Tremp et al., 1993; Sekimoto et al., 2013)
and biomass burning  (Mohr et al., 2013). Nitrated
phenols are also produced from photooxidation of aromatic hydrocarbons in
the atmosphere: for example, benzene oxidizes to 2-nitrophenol (2-NP) and
4-nitrophenol (4-NP), and toluene oxidizes to methylnitrophenols (MNP)
(Harrison et al., 2005a). Figure 1 shows the reactions
leading to secondary formation of NP and dinitrophenols (DNP) in the
atmosphere  (Jenkin et al., 2003). Oxidation of
benzene by OH radicals forms phenol, and further reactions of phenol with
either OH or NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals yield phenoxy (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O) radicals,
which react further with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to generate NP. In addition to benzene
oxidation, C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals are also generated from the reaction of
NO with phenyl peroxy (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> radicals, a product from
reactions of some other aromatic precursors, e.g., benzaldehyde
(Caralp et al., 1999). Further oxidation of nitrated phenols by
obtaining another nitro group produces DNP. The yields of
NP from phenol oxidation by OH radicals  (Atkinson et al., 1992; Olariu et
al., 2002; Berndt and Boge, 2003) and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals  (Atkinson et al.,
1992; Bolzacchini et al., 2001) have been reported.  Berndt and Boge (2003) also showed that the NP yield from OH oxidation of phenol increases
at higher NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations. In addition to gas-phase reactions,
nitrated phenols are formed from aqueous-phase reactions in aerosol or cloud
water  (Vione et al., 2001, 2005). The importance of the aqueous reactions
compared to gas-phase reactions is highly dependent on liquid water content
in the atmosphere  (Harrison et al., 2005b).</p>
      <p>The sinks of nitrated phenols in the gas phase include reactions with OH
radicals  (Atkinson et al., 1992; Bejan et al., 2007), with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
radicals  (Atkinson et al., 1992), with chlorine atoms
(Bejan et al., 2015) and photolysis  (Bejan et al., 2007; Chen
et al., 2011). It has been proposed that photolysis is the dominant gas-phase atmospheric loss for nitrated phenols  (Bejan et al., 2007).
Despite the importance of photolysis of nitrated phenols, the photolysis
frequency of nitrated phenols under ambient conditions has only been reported in
a single non-peer-reviewed publication (1.4 % of photolysis frequency of
NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>  (Bardini, 2006). The chemical products from photolysis of
nitrated phenols have been proposed, but the proposed products have not been fully
evaluated against experimental results  (Bejan et al., 2006).
Nitrated phenols are also removed by various processes in the aqueous phase,
including reactions with OH, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and photolysis  (Vione et
al., 2009).</p>
      <p>Measurements of nitrated phenols have been mainly conducted using offline
methods  (Harrison et al., 2005a). Air samples are usually
collected on filters or cartridges and then analyzed by liquid
chromatography (LC) methods  (Rubio et al., 2012; Harrison et al.,
2005a; Delhomme et al., 2010). These detection methods are time-consuming and
measurements as a function of the time of day are not usually possible
(Delhomme et al., 2010). The lack of fast-response online
measurements has prevented, at least partially, a thorough investigation of
sources and sinks of nitrated phenols. Recently,  Mohr
et al. (2013) deployed a chemical ionization mass spectrometer (CIMS) using
acetate as the reagent ion to measure nitrated phenols online in the
particle phase in the winter in London, and based on their measurements the
authors concluded that nitrated phenols were mainly from wood burning in
this region of the atmosphere.</p>
      <p>In this study, we conducted high-time-resolution measurements of nitrated
phenols in the gas phase at a site in an oil and gas production region in
winter. High concentrations of ozone and secondary products  (Edwards et
al., 2014) were observed at this site, as the result of photochemical
degradation of large amounts of alkanes and aromatics emitted from oil and
gas production in this region  (Warneke et
al., 2014). Using the present data set, we investigate diurnal variations,
sources and sinks of nitrated phenols. We use a box model to analyze the
budget of nitrated phenols in the atmosphere, and provide insights into the
formation mechanism of nitrated phenols.</p>
</sec>
<sec id="Ch1.S2">
  <title>Measurements</title>
      <p>The Uintah Basin Winter Ozone Study (UBWOS 2014) was conducted in January
and February of 2014 at the Horse Pool site in the Uintah Basin, where over
10 000 active oil and gas wells are located.</p>
<sec id="Ch1.S2.SS1">
  <title>Acetate ToF-CIMS</title>
<sec id="Ch1.S2.SS1.SSS1">
  <title>Instrument operation</title>
      <p>An Aerodyne time-of-flight (ToF) CIMS  (Lee et al., 2014) that uses
acetate (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>C(O)O<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as the reagent ion was deployed at the Horse
Pool site during UBWOS 2014 to measure organic acids, inorganic acids
and nitrated phenols. These compounds are ionized in the ion–molecule
reaction region (IMR, 61.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 mbar) via proton abstraction  (Veres
et al., 2008) or by a sequence of clustering–declustering/deprotonation
reactions  (Brophy and Farmer, 2015) in the reaction with acetate
ions. Acetate ions were produced by introducing saturated acetic
anhydride<inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixture (5 mL min<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) mixed with another flow of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (2.5 L min<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) into a polonium-210 (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>210</mml:mn></mml:msup></mml:math></inline-formula>Po) radioactive source. The instrument
was operated under strong declustering conditions by applying voltages in the
first quadrupole ion guide (i.e., SSQ, 2.50 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 mbar) during UBWOS
2014, with the ratio of acetate cluster (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>C(O)O<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mi mathvariant="normal">⚫</mml:mi></mml:mrow></mml:math></inline-formula> CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>C(O)OH)<inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>acetate (CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>C(O)O<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at 0.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 %.
Under such declustering conditions, the conjugate anions were usually
observed as the product ions, with little contribution from cluster ions.
The reagent ions and product ions are analyzed using a high-resolution time-of-flight mass spectrometer (Tofwerk AG, Switzerland). The signals of
acetate ion were approximately 1–2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> counts per second (cps)
during the campaign (ToF extraction frequency <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 25 kHz). The mass resolution
of the ToF analyzer during UBWOS 2014 was approximately 3200 for ions of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> &gt; 200.</p>
      <p>Background signals associated with the instrument were measured every 2 h  for 15 min by passing ambient air through three stages of zero air
generation: a platinum catalytic converter heated to 350 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
nylon wool coated with sodium bicarbonate (NaHCO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and activated
charcoal, which were used in series to remove acidic gases from the sample
air and determine instrument backgrounds. During the UBWOS 2014 study, two
CIMS inlets constructed from Teflon tubing heated to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with similar lengths (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 m) placed at heights
of 1  and 18.5 m above ground were switched automatically every 30 min
during the period of 24 January–1 February in order to measure the vertical
concentration gradient of nitrated phenols and other acidic gases. Inlet
switching between a long heated and a short unheated inlet was conducted
during  1–5 February in order to explore possible inlet interferences to CIMS
measurements of nitrated phenols from the long heated inlet. We did not
observe differences in signals between the long and short inlets for
nitrated phenols except DNP (Fig. S1 in the Supplement), indicating that potential loss in
the sampling line was minimal for the reported single nitrated phenols in
this study. The inlet issues for DNP will be discussed in Sect. 2.1.2.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <title>Data processing</title>
      <p>The ToF-CIMS data were processed using the Tofware software package
(<uri>www.tofwerk.com/tofware</uri>) written in Igor Pro (Wavemetrics Inc., USA). The
detailed data processing procedures are presented in recent studies
(Yatavelli et al., 2014; Stark et al., 2015). Post-measurement mass
calibrations were performed using nine isolated ions: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 31.9904
(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 34.9694 (Cl<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 44.9982 (CHO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 59.0139
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 61.9884 (NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 143.9840
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 162.9824 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 193.9808 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 243.9776
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The four fluorine-containing ions in the list
were released from the Teflon inlet during UBWOS 2014 and their persistent
presence was used for mass calibration. The accuracy of mass calibration was
4.7 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9 ppm for the whole campaign and the errors of mass calibration
for individual ions were usually within 10 ppm (average <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 3<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The
fitted raw signals for the targeted compounds were normalized using an
acetate signal at the level of 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> cps, and the normalized signal has a unit of normalized counts per second (ncps).</p>
      <p><?xmltex \hack{\newpage}?>The fitted <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> used for quantification of concentrations of nitrated phenols in
the acetate CIMS are <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 138.0197 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for NP, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 152.0353 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for MNP, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 166.0510
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for dimethylnitrophenol <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ethylnitrophenol
(DMNP) and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 183.0047 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>-</mml:mo></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for DNP. Compounds
with the same molecular formulas as nitrated phenols include phenyl
nitrates/benzyl nitrates, methoxynitrobenzenes, nitrobenzyl alcohols, and
hydroxycarboxylic acids derived from pyridine. The first three groups of
compounds have lower acidities than acetic acid  (Bartmess,
2015) and hence they are unlikely to be observed in acetate CIMS, while
hydroxycarboxylic acids derived from pyridine are expected to be small in
the atmosphere.</p>
      <p>High-resolution (HR) peak fitting to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 138, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 152, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 183 in the averaged
mass spectra of ToF-CIMS on a typical day (25 January 2014) are shown as
examples in Fig. 2. Isotope signals from lower masses (dark-green lines)
accounted for small fractions of the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> signals. Multiple overlapping ion
peaks were identified in the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> channels. In addition to nitrated phenols,
several ions without deprotonation were also present in the even <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> (e.g.,
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 138), possibly due to electron transfer
reactions and/or fragmentation in the quadrupole ion guides
(Stark et al., 2015). The signals of NP and MNP were
either the largest or significantly larger than their neighboring peaks at
their respective <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>, whereas the signal of DNP was much smaller than its
neighboring peaks on 25 January 2014. Smaller ratios of the signals between
the targeted peak and its neighboring peaks have been shown to deteriorate
the precision of the fitted signals for the targeted peak  (Cubison and
Jimenez, 2015; Müller et al., 2011; Corbin et al., 2015). Based on the
provided equations in  Cubison and Jimenez (2015), the imprecision
arising from mass calibration (not including counting error) for the signals
of NP, MNP, and DNP are 3.2, 1.8, and 47 % based on the mass spectra
of 25 January, respectively. Imperfect mass calibration can also affect
fitted magnitudes of ion signals. Figure S2 shows the sensitivity of the
fitted signals of various masses as a function of the errors in mass
calibration. The signal changes at 10 ppm (average <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 3<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> error of
mass calibration relative to the perfect mass calibration (error <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 ppm)
for NP, MNP, and DNP signals are as high as 14, 5, and 81 %,
respectively. The results from both precision calculation and sensitivity of
fitted magnitudes indicate that the peak signals of NP and MNP can be fitted
well with low uncertainties. The peak fitting at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 166 for DMNP shows similar
results as <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 138 for NP and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 152 for MNP. However, large uncertainties are
associated with the peak signals of DNP on 25 January 2014, which is mainly
affected by the C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ions (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 182.9886) as indicated
by the opposite behaviors of the DNP ion and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
ion in Fig. S2c.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>High-resolution peak fitting to the averaged mass spectra of acetate
ToF-CIMS for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 138 <bold>(a)</bold>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 152 <bold>(b)</bold>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 183
<bold>(c)</bold> on 25 January 2014 and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 183 <bold>(d)</bold> on 18 January 2014
during UBWOS 2014. The dark-green lines indicate the calculated isotope
signals from lower masses.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f02.png"/>

          </fig>

      <p>The C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ion (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 182.9886) was released from the
heated Teflon inlet along with other fluorine-containing ions that were used
for mass calibration. The release of the C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> ion was
supported by much higher signals from the long heated inlet compared to the
short unheated inlet when inlet-switching experiments were conducted in
2–5 February (Fig. S1). Long-heated inlets were used for most of the time
during UBWOS 2014 (23 January–13 February), except during 18–22 January,
when a short unheated inlet was used. The averaged mass spectra of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 183
measured on 18 January  is shown in Fig. 2d. Compared to the mass spectra
on 25 January, C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> signals on 18 January   were lower
and the signals of DNP were larger than those of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>F<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>HO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>
ions. As a result, the uncertainty from peak fitting for the DNP ion was
much lower on 18 January   (Fig. S2d). Thus, we will only use measured DNP
data in the beginning of the campaign (18–22 January), when the long heated
inlet was not connected to the acetate CIMS and no inlet switching was
performed.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Sensitivities and detection limits of nitrated phenols in acetate
ToF-CIMS.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Species</oasis:entry>  
         <oasis:entry colname="col2">Abbreviation</oasis:entry>  
         <oasis:entry colname="col3">Ion</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Sensitivity </oasis:entry>  
         <oasis:entry rowsep="1" namest="col7" nameend="col8" align="center">Detection limit, ppt<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Value, ncps ppt<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">Ratio to HCOOH<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7">Method 1</oasis:entry>  
         <oasis:entry colname="col8">Method 2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Nitrophenol</oasis:entry>  
         <oasis:entry colname="col2">NP</oasis:entry>  
         <oasis:entry colname="col3">C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">138.0197</oasis:entry>  
         <oasis:entry colname="col5">13.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2.6</oasis:entry>  
         <oasis:entry colname="col7">0.18</oasis:entry>  
         <oasis:entry colname="col8">0.45</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Methylnitrophenol</oasis:entry>  
         <oasis:entry colname="col2">MNP</oasis:entry>  
         <oasis:entry colname="col3">C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">152.0353</oasis:entry>  
         <oasis:entry colname="col5">16.6<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">3.3</oasis:entry>  
         <oasis:entry colname="col7">0.24</oasis:entry>  
         <oasis:entry colname="col8">0.36</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dimethylnitrophenol</oasis:entry>  
         <oasis:entry colname="col2">DMNP</oasis:entry>  
         <oasis:entry colname="col3">C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">166.0510</oasis:entry>  
         <oasis:entry colname="col5">16.6<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">3.3</oasis:entry>  
         <oasis:entry colname="col7">0.14</oasis:entry>  
         <oasis:entry colname="col8">0.36</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ethylnitrophenol</oasis:entry>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dinitrophenol</oasis:entry>  
         <oasis:entry colname="col2">DNP</oasis:entry>  
         <oasis:entry colname="col3">C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">183.0047</oasis:entry>  
         <oasis:entry colname="col5">10.3<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6">2.0</oasis:entry>  
         <oasis:entry colname="col7">0.23</oasis:entry>  
         <oasis:entry colname="col8">0.58</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.95}[.95]?><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Average from calibrations of 2-NP (8.4 ncps ppt<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and 4-NP
(18.0 ncps ppt<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).<?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Calibration of 2-methyl-4-nitrophenol.<?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Using the same value as MNP.<?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Calibration using 2,5-dinitrophenol.<?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Based on the determined sensitivity of formic acid (HCOOH) at 5.0 ncps ppt<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during UBWOS 2014.<?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> Method 1 is based on the random errors of observed counts follow Poisson
distribution, whereas method 2 is calculated as the concentrations with
counts at 3 times the standard deviation of measured background counts
(see discussions in text and in  Bertram et al., 2011).</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p>The response of the CIMS instrument for nitrated phenols, including 2-NP,
4-NP, 2-methyl-4-nitrophenol, and 2,5-dinitrophenol, was calibrated using a
liquid calibration unit (LCU, IONICON Analytik). In the LCU, a water
solution with known concentrations of the targeted compounds is nebulized
and diluted by another gas stream at different flow rates to produce a gas
standard at various concentrations  (Kaser et al.,
2013). The results of the calibrations to various nitrated phenols are shown
in Table 1. The sensitivity of 4-NP in our instrument was determined to be
higher than that of 2-NP by a factor of 2.1. A higher sensitivity of 4-NP in
acetate CIMS was reported in  Mohr et al. (2013), but
in that study the difference was larger by 3 orders of
magnitude  (Mohr et al., 2013). The different
sensitivity ratios of 4-NP/2-NP can be caused by many different instrumental
conditions between our instrument and that in  Mohr et al. (2013), such as the amount of acetic anhydride introduced into the
instrument, IMR and SSQ pressures, and declustering settings in the
quadrupole ion guides, all of which affect sensitivities of acetate CIMS
significantly  (Stark et al., 2012). The main reagent ions in IMR
were shown to be acetic acid–acetate clusters rather than acetate
(Bertram et al., 2011), and the cluster
distributions in IMR may depend on operated pressure in IMR and the amount
of acetic anhydride introduced into the ion source. While declustering in
SSQ helps the interpretation of recorded mass spectra, declustering also
obscures a precise understanding of cluster distributions in IMR and hence
accurate prediction of sensitivities in acetate CIMS. This result also
emphasizes the importance of instrument calibrations in deriving
concentration from acetate CIMS. We note that 3-nitrophenol (3-NP) is not
usually present in the atmosphere  (Harrison et al., 2005a).
Thus, the average of the sensitivities of 2-NP and 4-NP was used for
calculating concentrations of NP. DMNP was not calibrated in this study and
we assumed the same sensitivity as determined for MNP.</p>
      <p>The accuracies of nitrated phenols measurements by the CIMS are
conservatively estimated to be around 40 % for NP and 50 % for other
nitrated phenols, mainly arising from uncertainties in the concentration
output of the LCU (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %), uncertainties associated with
calibration procedures (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 %), errors in high-resolution
(HR) peak fittings to mass spectra (see above and Fig. S2), and the
representativeness of the calibrated species to other isomers (0–30 % for
NP and 0–40 % for other nitrated phenols). Assuming random errors in the
observed ion counts follow a Poisson distribution, detection limits of
nitrated phenols, i.e., concentrations with a signal to noise ratio (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>) of
3, are calculated to be 0.1–0.3 ppt for 1 min average data (Table 1).
Following the discussions in  Bertram et al. (2011), the measured background ion counts in ToF-CIMS drift over time
and thus detection limits are more appropriately calculated as the
concentrations at 3 times the standard deviation of the measurement
background counts. The determined detection limits of nitrated phenols
increase to the range of 0.3–0.5 ppt based on this approach
(Bertram et al., 2011) (Table 1).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Other measurements</title>
      <p>Volatile organic compounds (VOCs), including hydrocarbons and oxygenates,
were measured using an online gas chromatograph–mass spectrometer (GC-MS)
(Gilman et al., 2013). A commercial proton transfer reaction time-of-flight mass spectrometer (PTR-TOF) (IONICON Analytik, Austria) was also
deployed at the Horse Pool site to measure various VOC species
(Warneke et al., 2015). Measurements of
phenol, cresols, and dimethylphenols <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> ethylphenols (DMP) were accomplished
using the PTR-TOF at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 95.0491 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>OH<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 109.0648
(C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>OH<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 123.0804 (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>10</mml:mn></mml:msub></mml:math></inline-formula>OH<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
respectively. An example of high-resolution peak fitting to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 95 in the mass
spectra of the PTR-TOF is shown in Fig. S3. The sensitivities to these
phenols are estimated here from the calibrated sensitivities of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 93.0699
(toluene), <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 107.0855 (C8 aromatics), and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> 121.1012 (C9 aromatics) and the
ratio of proton transfer rate coefficients (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the phenols versus the
aromatic hydrocarbons  (Cappellin et al., 2012)
(see details in the Supplement). Considering the uncertainties in the rate
coefficients <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, the accuracies of the determined concentrations of phenols
can be up to 50 %  (de Gouw and Warneke, 2007).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p><bold>(a)</bold> Diurnal profiles of measured NP, MNP, and DMNP.
<bold>(b)</bold> Diurnal profiles of benzene, acetaldehyde, phenol, cresol, and
DMP. Photolysis frequencies of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are shown in both <bold>(a)</bold>
and <bold>(b)</bold> for reference.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f03.png"/>

        </fig>

      <p>Measurements of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> were conducted by a cavity
ring-down spectroscopy instrument  (Dubé et al.,
2006). NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (NO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>, and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were measured with
another cavity ring-down spectroscopy instrument
(Wild et al., 2014). Measurements of
methane (CH<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and carbon dioxide (CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were performed with a
commercial cavity ring-down spectrometry instrument (Picarro G2301). A pair
of commercial spectral radiometers (Metcon Inc.) were used to measure
photolysis frequencies of ozone and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussions</title>
<sec id="Ch1.S3.SS1">
  <title>Diurnal variations</title>
      <p>Measured diurnal profiles of NP, MNP, and DMNP during the UBWOS 2014 are
shown in Fig. 3. Very strong diurnal variations in concentrations of these
nitrated phenols were observed. Concentrations of nitrated phenols were
higher at night and lower in the daytime. The ratios between the
concentrations in the 2 h around midnight (23:00–01:00 MST) and in the
2 h around noon (11:00–13:00 MST) are 2.9, 3.9, and 4.7 for NP, MNP, and
DMNP, respectively. This indicates that the substituted alkyl groups enhance
the diurnal variations in nitrated phenols, either through larger source at
night or stronger loss in the daytime.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p><bold>(a)</bold> An episode with high concentrations of methane and
benzene on 27 January 2014 during UBWOS 2014. The source for this episode was
fugitive emissions from oil and gas activities. <bold>(b)</bold> An episode with
high concentrations of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> and CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> on 3 February 2014 during UBWOS
2014. The source for this episode was fuel combustion (e.g., vehicle exhaust
and/or other combustion sources for oil and gas extraction).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f04.png"/>

        </fig>

      <p>Primary emissions of VOCs and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> at the Horse Pool site are
predominantly due to oil and gas production activities, as the Horse Pool
site is surrounded by oil and gas production wells. VOCs and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
emitted from nearby oil and gas wells led to periodic concentration spikes
during the UBWOS campaigns  (Warneke et al., 2014; Yuan et al., 2015).
Figure 4 shows two types of episodes encountered during UBWOS 2014. The
first was associated with high concentrations of methane and benzene, as an
example of fugitive emissions from oil and gas wells. No enhancement of
nitrated phenols was observed for the first emission episode. The second
episode was associated with high concentrations of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and
CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, as an example of either vehicular emissions or other fuel
combustion activities related to oil and gas extractions (e.g., compressors,
dehydrators, and pump jacks). High NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> / NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> ratios (0.96 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01) indicate that a fresh combustion plume was encountered. We observed
small enhancement of NP during the second emission episode. The enhancement
ratio of NP <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula> in this plume is determined to be 4.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> ppt/ppb, which is comparable with the reported
NP <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emission ratios (1–50 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> ppt/ppb) from gasoline
and diesel vehicles  (Inomata et al., 2013; Sekimoto et al., 2013). Using
the obtained enhancement ratio of NP <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>, we determine that primary
emissions from combustion sources only account for less than 2 % of NP
concentrations during UBWOS 2014. In addition to these primary sources,
biomass burning was not observed in the UBWOS campaigns, based on the
absence of any enhancement of biomass burning markers like acetonitrile. We
conclude that primary emissions of nitrated phenols were not significant
during UBWOS 2014.</p>
      <p>In addition to primary emissions, secondary formation from oxidation of
phenols is an important source for nitrated phenols  (Harrison
et al., 2005a). Phenol exhibited a concentration maximum in the afternoon
(Fig. 3b). The diurnal profile of phenol is more similar to that of
secondary acetaldehyde than that of primary emitted benzene. It suggests
that secondary formation was the most important source of phenol.
Substituted phenols (cresols and DMP) also had similar diurnal variations as
phenol.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Modeling analysis for NP</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Box model results</title>
      <p>We will focus on NP to understand the budget of nitrated phenols, because NP
had higher concentrations than the substituted nitrated phenols (MNP and
DMNP) and there is more information on sources and sinks of NP in the
literature. A series of zero-dimensional box model simulations on the
formation of phenol and NP were conducted using the online AtChem tool
(<uri>https://atchem.leeds.ac.uk</uri>). The MCM v3.2
(Jenkin et al., 2012) was used as the
chemical mechanism in the box model. We note that ambient temperature
(<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) during UBWOS 2014 was much lower than the
temperature (around 25 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) at which rate constants of many
reactions are usually measured. Rate constants as a function of temperature
are only available for the reactions of OH radical with benzene and phenol
among those shown in Fig. 1, and they were already included in the MCM
v3.2. The model ran in a time-dependent mode and a 48 h spin-up time was
applied in the box model. Measured concentrations of various hydrocarbons,
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and photolysis frequencies (Table S2) were used
as constraints in the box model. The simulation period of the model was
chosen to be 18–27 January, a period associated with several buildup
episodes of ozone and other secondary products, with high measured
concentrations of NP and without precipitation. Following previous box model
studies  (Yuan et al., 2015; Edwards et al., 2014), dilution and deposition
processes were represented together using a diurnally varying first-order
physical loss parameter in the box model. The physical loss rate at night
(5.8 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was calculated from the decrease rate of
NP concentration between 00:00 and 06:00, when the chemical loss was expected to
be low (see Sect. 3.3.4). A higher physical loss rate (2.0 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during daytime was used to account for larger turbulent
mixing during daytime  (Edwards et al., 2014), which results in the
decrease in concentrations of inert tracers in the afternoon, e.g., benzene
(Fig. 3) and methane. Based on sensitivity tests of the box model,
increase and decrease in the physical loss rate terms by a factor of 2
resulted in <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>48 and <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>39 % of changes in the modeled NP
concentrations.</p>
      <p>As shown in the introduction section, photolysis has been recognized as an
important sink for nitrated phenols. However, the photolysis of NP (and
other nitrated phenols) is not included in the MCM v3.2. We added the
photolysis frequency of NP from  Bardini (2006) (1.4 % of photolysis
frequency of NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> into the MCM v3.2 and this model run is referred to
as the base simulation. Here, we assume that photolysis of NP produces
2-phenoxy biradicals and HONO, as proposed in  Bejan et al. (2006)
(Fig. 1, Route1). There are other possible chemical routes for photolysis
of NP: producing phenoxy radicals (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O) by losing NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
(Route2 in Fig. 1) and producing nitrophenoxy radical by hydrogen
abstraction (Route3 in Fig. 1). The simulation test in Fig. S4 indicates
that the pathway forming C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is an
ineffective sink for NP, since C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radical will re-form NP by
reacting with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. However, we cannot exclude that this pathway occurs
along with that producing 2-phenoxy biradicals and HONO. The photolysis
frequency determined in Bardini (2006) based on concentration changes of
2-nitrophenol in a chamber may not include this pathway as well. As a
result, attributing the photolysis rates determined in Bardini (2006) to
other pathways other than Route2 is reasonable. The route producing
nitrophenoxy radical will be discussed in Sect. 3.3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>(<bold>a</bold>, <bold>c</bold>) Comparison of measured and modeled time
series of phenol <bold>(a)</bold> and NP <bold>(c)</bold>. (<bold>b</bold>, <bold>d</bold>) Diurnal profiles of measured and modeled concentrations of phenol
<bold>(b)</bold> and NP <bold>(d)</bold>. Photolysis frequencies of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are
shown in <bold>(b)</bold> and <bold>(d)</bold> for reference. Error bars in <bold>(b)</bold> and
<bold>(d)</bold> indicate the accuracies of measured concentrations of phenol
(50 %) and NP (40 %), respectively.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f05.png"/>

          </fig>

      <p>The simulated results for phenol and NP from the base case of the box model
are shown in Fig. 5. The modeled diurnal variations agreed reasonably well
with the observation for both NP and phenol in the base simulation, except
for the phenol nighttime levels that will be discussed below. Although
modeled NP concentrations are higher than the measurements for both daytime
and nighttime, the agreement between measurements and model results is still
within their combined uncertainties.</p>
      <p>The average measured concentrations of phenol at night are higher than 10 ppt, but the modeled phenol concentrations are usually less than 2 ppt. At
night, the production of phenol from benzene oxidation halts, and the fast
reaction with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (2.8 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>11</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at 298 K) removes phenol
quickly (Fig. 7 and discussion in Sect. 3.2.3). Measured nighttime NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals were quite low during
UBWOS 2014 (1.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.4 ppt). As a check on the possible uncertainties in
measurements of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at these low levels, simulations by varying
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations by a factor of 2 result in little improvement for
the modeled concentrations of phenol (Fig. S5). Another simulation using
calculated NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations from the equilibrium between NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> (Fig. S5) also indicates that uncertainties in NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
measurements cannot account for the discrepancies between measured and
modeled phenol at night. The high phenol concentrations measured at night
might be a result of primary emissions. Indeed, the measured phenol
concentration was slightly enhanced in the plume with high methane
concentrations (see Fig. 4a). However, a simulation using the measured
phenol concentrations as a constraint in the box model predicted much
higher NP concentrations than measurements (Fig. S4). Perhaps a more
likely explanation for the enhanced phenol concentrations at night is that
the measurements of phenol by PTR-TOF suffer from chemical interferences at
night. Vinylfuran might be a candidate  (Karl et al., 2007; Stockwell et
al., 2015). Thus, the modeled concentrations of phenol shown in Fig. 5
will be used in the following discussions.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <?xmltex \opttitle{NO${}_{{2}}$ dependence of NP yields}?><title>NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> dependence of NP yields</title>
      <p>As shown in Fig. 1, NP is generated from the reaction of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with
phenoxy radicals (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">⚫</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>  (Berndt and Boge, 2003),
which is an intermediate from the reactions of OH and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals with
phenol and the reaction of phenylperoxy radicals (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
with NO. In addition to NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">⚫</mml:mi></mml:math></inline-formula> radicals also
react with NO and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>  (Platz et al., 1998) (see Fig. 1). Thus, the yield of NP has been reported to depend on NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations in the atmosphere  (Berndt and Boge, 2003).</p>
      <p>In the MCM v3.2, only the reactions of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radical with O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are included and here we added the reaction of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O
with NO (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.88 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for
a new simulation. Compared to the base simulation, the modeled
concentrations of NP are lower, especially for the period of 11:00–17:00, as
the effective yield of NP is reduced (Fig. 5). The small enhancement
during the period of 11:00–17:00 in NP concentrations from the base
simulation is absent in the simulation with the reaction of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O
with NO. The variations in modeled NP concentrations in the daytime from the
new simulation are in better agreement with the measurements (Fig. 5).
This indicates that the reaction of NO and C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radical should be
considered to account for the NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> dependence of NP formation.</p>
      <p>Another simulation using fixed NP yields from phenol oxidation reported in
Atkinson et al. (1992) (6.7 % for OH oxidation and 25.1 % for
NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> oxidation) is also performed. This simulation neglects any
dependence of NP yield from phenol oxidation on concentrations of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and NO. We observed lower concentrations during both the day and
night compared to the base simulation (Fig. 5). However, the enhancement
of modeled NP in the period of 11:00–17:00 is distinctly observed with the
simulation using the fixed yields in  Atkinson et al. (1992), which
is in contrast to the lowest concentration in the afternoon from our
observations. This, again, indicates there must be a dependence of NP yield
from phenol oxidation on NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the atmosphere.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Gas–particle partitioning of NP</title>
      <p>NP formed in the gas phase can partition into particles
(Harrison et al., 2005a). Measurements in several studies
demonstrated that 2-NP and MNP were mainly found in the gas phase
(Herterich and Herrmann, 1990; Cecinato et al., 2005; Morville et al.,
2006). However, the reported particle fractions of 4-NP and DNP exhibit a
broad range in values: the particle fractions of 4-NP and DNP reported in
Herterich and Herrmann (1990) were both lower than 15 %, whereas
most of the concentrations of 4-NP (&gt; 75 %)
(Cecinato et al., 2005) and DNP (&gt; 95 %)
(Morville et al., 2006) were detected in particles in these
two studies.</p>
      <p>The concentrations of NP and other nitrated phenols in particles were not
measured in this study. We acknowledge that some fractions of nitrated
phenols in particles may evaporate into gas phase in the heated inlets. If
it holds true, the measured concentrations of nitrated phenols in this study
would fall somewhere between concentrations in the gas phase and the total
gas <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> particle concentrations. Here, the gas–particle partitioning of NP as
a function of time was estimated using the equilibrium absorption
partitioning theory  (Pankow, 1994; Donahue et al., 2006) (see details in
the SI), based upon pure-compound liquid vapor pressures of 2-NP and 4-NP
(Schwarzenbach et al., 1988) (Table 2) and organic aerosol (OA)
concentrations measured with an aerosol mass spectrometer (AMS). The
dependence with temperature was accounted for using the Clausius–Clapeyron
relationship with reported enthalpies of evaporation (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">vap</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
(Schwarzenbach et al., 1988). Although vapor pressures from
Schwarzenbach et al. (1988) might have significant uncertainties,
Schwarzenbach et al. (1988) provided the only comprehensive
measurements of sub-cooled liquid vapor pressures of nitrated phenols in the
literature.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Vapor pressure, enthalpy of evaporation (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">vap</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and
calculated concentration fractions in the particle phase (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for
several nitrated phenols.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Species</oasis:entry>  
         <oasis:entry colname="col2">Vapor pressure</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">vap</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">at 298 K, Torr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">kJ mol<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">2-NP</oasis:entry>  
         <oasis:entry colname="col2">0.20</oasis:entry>  
         <oasis:entry colname="col3">53.1</oasis:entry>  
         <oasis:entry colname="col4">1.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4-NP</oasis:entry>  
         <oasis:entry colname="col2">1.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">80.0</oasis:entry>  
         <oasis:entry colname="col4">5.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.8 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2,4-DNP</oasis:entry>  
         <oasis:entry colname="col2">8.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">70.4</oasis:entry>  
         <oasis:entry colname="col4">4.6 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2,5-DNP</oasis:entry>  
         <oasis:entry colname="col2">1.2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">68.5</oasis:entry>  
         <oasis:entry colname="col4">2.8 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.7 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> Calculated from data in  Schwarzenbach et al. (1988).</p></table-wrap-foot></table-wrap>

      <p>The calculated fractions in the particle phase (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for 2-NP were generally very
low (campaign average: 1.1 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; max:
7.3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, whereas <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for 4-NP were higher (average:
0.053 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.048; max: 0.38). The variability of the determined <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
values is the result of variations in both OA concentrations (12.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.7 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; min: &lt;1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>;
max:
42.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and ambient temperature (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; min: <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; max: 10 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) during the campaign. The higher
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for 4-NP is expected, as 4-NP (1.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> Torr at 298 K)
has much lower vapor pressure than 2-NP (0.20 Torr at 298 K) (Table 2). In
addition to absorption, partitioning of NP into the aqueous phase of
particles is another possible pathway affecting <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This mechanism is
estimated using Henry's law constants  (Sander, 2015) and the liquid
water content (LWC) (8.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in aerosol determined
using the ISORROPIA model  (Fountoukis and Nenes, 2007). The
estimated <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values based on aqueous-phase partitioning for 2-NP
(1.3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and 4-NP (3.0 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are both much
lower than <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> estimated from the equilibrium absorption partitioning
theory, indicating partitioning of NP into the particle aqueous phase was
not important during UBWOS 2014.</p>
      <p>The gas–particle partitioning of 2-NP and 4-NP determined above was
incorporated into the box model by constraining the estimated <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the
determination of gas–particle mass transport rates. The mass transport rates
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of a species into and out of particles with radius
<inline-formula><mml:math display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> are approximated by  Jacob (2000):

                  <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>r</mml:mi><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>r</mml:mi><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mi mathvariant="italic">υ</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ep</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">τ</mml:mi></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ep</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are concentrations of the species in the gas and
particle phase. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the gas-phase molecular diffusion coefficient
(m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">υ</mml:mi></mml:math></inline-formula> is the mean molecular speed (m s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
and
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is the mass accommodation coefficient. <inline-formula><mml:math display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the aerosol surface
area per unit volume of air (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">ep</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the equilibrium
constant, i.e., <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, or <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The characteristic timescale
of mass transfer (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is estimated to be on the order of minutes for
particles in the troposphere  (Bowman et al., 1997; Jacob, 2000). Thus,
rather than determining the characteristic timescale explicitly, we assume
that the equilibrium is maintained at each model step (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 5 min).
After entering into particles, no further reaction of NP was prescribed in
the model. The modeled diurnal profiles of NP associated with the inclusion
of gas–particle partitioning are shown in Fig. 6. Compared to the base
simulation, the modeled NP concentrations in the gas phase using the
estimated <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 4-NP are lower (4–8 %) for most of the day and
slightly higher (2–3 %) in the morning, when NP concentrations decreased
quickly. Since the predicted <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 2-NP is very small, the modeled NP
concentrations in the gas phase using the estimates from 2-NP were almost
identical to the base simulation. In contrast with the modeled
concentrations of NP in the gas phase, the modeled total concentrations of
NP in gas and particle phase are consistently higher than the base
simulation that does not consider gas–particle partitioning. In summary, we
observe relatively small changes of the modeled gaseous NP concentrations
after the inclusion of gas–particle partitioning in the box model. Further
measurements of the gas–particle partitioning of nitrated phenols are needed
to explain the variety of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values observed in different studies and/or
the potential differences between measurements and prediction from the
equilibrium absorption partitioning model.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Diurnal profiles of measured and modeled concentrations of NP from
the base simulation and the simulations considering gas–particle
partitioning. Photolysis frequencies of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are shown for reference.
Error bars indicate the accuracies of measured concentrations of NP
(40 %).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>Budget analysis of phenol and nitrophenol</title>
      <p>Diurnal profiles of formation and loss rates derived from the base
simulation of the box model for both phenol and NP are shown in Fig. 7.
Production of phenol only occurs in the daytime from OH oxidation of
benzene. The magnitudes of losses of phenol due to OH oxidation (21 ppt day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
and NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> oxidation (19 ppt day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are comparable on a daily basis. From
morning to afternoon (08:00–15:00), production of phenol is larger than the
losses, resulting in continuous growth of phenol concentrations in this
period. After 15:00, the losses start to surpass the production and
phenol concentrations decrease quickly. With fast reduction of phenol
concentrations in the evening, phenol loss from the reaction with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
mainly occurred before midnight.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Diurnal profiles of production and loss rates from different
pathways for phenol <bold>(a)</bold> and NP <bold>(b)</bold> derived from the base
simulation of the box model. <bold>(c)</bold> Diurnal profiles of production
rates from different pathways for C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals. The inserted pie
chart in <bold>(c)</bold> shows contributions from three different pathways to
formation of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals on a daily basis.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f07.png"/>

          </fig>

      <p>As shown in Fig. 7, NP is produced during both daytime and night, with
more production in the daytime. As mentioned earlier, the only formation
pathway of NP is from the reaction of phenoxy radicals (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O)
with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, so the contribution from different pathways to NP formation
can be derived from source analysis of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals (Fig. 7c).
The production of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals is dominated by the reaction of
C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> radicals with NO during daytime (71 % for 24 h
average) and the reaction of phenol with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals at night (27 %
for 24 h average). There are several sources contributing to the
formation of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> radicals in the MCM, including photolysis
of benzaldehyde and peroxybenzoic acid, OH oxidation of benzoic acid and
phenyl hydroperoxide, and degradations of other radicals (e.g.,
phenylperoxyacyl radical C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, suggesting a wide range of
aromatic compounds as the precursors of NP in the daytime. The reaction of
phenol with OH radicals only accounts for a small fraction of the production
of C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O radicals (2 % for 24 h average), due to the small
yield of NP (6 %) from the reaction of OH with phenol in the MCM. This
indicates that phenol is not an important precursor for NP during daytime. The
destruction of NP is mainly due to photolysis (17 ppt day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), with some
contributions from NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> reaction (1.7 ppt day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The reaction with OH
radicals is not important for the losses of NP in UBWOS 2014.
Dilution/deposition processes account for 20 % of the total loss of NP in
the box model. Our results are consistent with a previous proposal on
photolysis as the dominant chemical loss pathway for nitrated phenols
(Bejan et al., 2007). Based on the conditions at the Horse Pool
site, the lifetime of NP due to photolysis at noontime is calculated to be
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 min. As the result of the short lifetime of NP during
daytime, the production (23.6 ppt day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and loss rates (23.1 ppt day<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) of NP
maintain a balanced budget of NP on a daily basis. The inclusion of the
reaction of phenoxy radicals (C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O) with NO discussed in Sect. 3.2.2 would mainly affect the NP budget at midday, with smaller production
and loss in this period.</p>
      <p>The different diurnal variations in production and loss rates of NP explain
the measured diurnal profile of NP concentrations shown in Fig. 3. The
increase in loss rates from photolysis result in the quick decline of NP
concentrations in the morning. The formation of NP from NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> oxidation
of phenol in the evening exceeds the destruction of NP, which accounts for
the enhancement of NP in this period. The formation and loss rates of NP are
comparable in the afternoon and relatively constant concentrations of NP
were observed.</p>
      <p>A previous study showed that photolysis of nitrated phenols contributes to
HONO formation  (Bejan et al., 2006). If we assume photolysis of
nitrated phenols at rates of 1.4 % <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> J(NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> yields HONO at a
100 % yield (upper limit), photolysis of NP, MNP, and DMNP together
accounted for a formation rate of HONO of 1.5 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.9 ppt h<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> around
noontime (09:00–15:00) during UBWOS 2014. This photolysis source would
increase the steady state concentrations of HONO by 0.5 ppt in early morning
(07:00–08:30) and 0.2 ppt during the noontime period (09:00–15:00), which are
only small fractions of measured HONO concentrations (50–100 ppt) during
UBWOS 2014  (Edwards et al., 2014).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <title>Dinitrophenol</title>
      <p>Further oxidation of NP in the presence of NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> produces DNP. The
measured time series of DNP in 18–22 January is shown in Fig. 8. A similar
diurnal profile was observed for DNP as other nitrated phenols, with higher
concentrations at night and lower in the daytime. We also notice that the
peak time of DNP concentrations at night was somewhat later than NP,
consistent with further oxidation of NP as the source of DNP.</p>
      <p>In the MCM v3.2, reactions of NP with OH or NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> radicals generate
nitrophenoxy radicals (NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>C<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">⚫</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which react further
with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to form DNP. Here, we assume DNP has the same photolysis rate
as NP (1.4 % of photolysis frequency of NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>  (Bardini, 2006) and
we added the photolysis into the MCM v3.2. The simulated concentrations of
DNP from the box model are also displayed in Fig. 8. The agreement between
measurements and simulation is quite good from the base simulation. DNP has
also been observed in the particle phase at significant fractions
(Morville et al., 2006). Using the equilibrium absorption
partitioning theory described in Sect. 3.2.3 and vapor pressures of two
different DNP isomers (2,4-DNP and 2,5-DNP) (Table 2), we incorporated the
calculated particle fractions of DNP (Table 2) into the box model as a
sensitivity simulation. The predicted DNP concentrations from this
simulation are around 5 % lower than the base simulation at night.
Considering the limited information on DNP formation, the agreement between
measured and modeled concentrations of DNP from both simulations is
encouraging. This degree of agreement implies that DNP concentrations
measured in UBWOS 2014 are explainable by known chemical reactions in the
gas phase.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Comparison of measured and modeled time series of DNP. Measured time
series of NP is also shown for comparison. Error bars indicate the accuracies
of measured DNP concentrations (50 %).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f08.png"/>

        </fig>

      <p>As described in Sect. 3.2, photolysis is the dominant sink for NP and box
model results indicate that photolysis of NP may not generate phenoxy
radical (by losing NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The other possible product from photolysis of
NP is nitrophenoxy radical (Fig. 1, Route 3), which would act as a
secondary source of DNP. This assumption is evaluated as a new simulation.
The simulation predicted concentration peaks of DNP in the morning (the
orange line in Fig. 8), which are not observed in our measurements. Thus,
we exclude nitrophenoxy radical as the main products of photolysis of NP.
However, the product and exact chemical mechanisms for photolysis of NP
remain unclear and thus the photolysis of NP warrants further detailed
studies.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Non-gas-phase reactions</title>
      <p>The box model only considers gas-phase reactions that produce nitrated
phenols. In addition to gas-phase reactions, aqueous reactions in particles
and heterogeneous reactions are other potential sources of nitrated phenols
(Harrison et al., 2005a). As shown in Sect. 3.2.3, using
chemical compositions of aerosol at the Horse Pool site and the ISORROPIA
model  (Fountoukis and Nenes, 2007), the LWC in aerosol during UBWOS 2014 was estimated to be 8.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (whole campaign average), or 8.4 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
expressed as the volume fraction. Based on the box modeling results in
Harrison et al. (2005b), aqueous reactions contribute
less than 2 % of NP production at 3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> volume fraction
LWC. Thus, aqueous reactions in UBWOS 2014 should not be a significant
source for nitrated phenols compared to gas-phase reactions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Diurnal profiles of vertical gradients for nitrated phenols measured
in 22 January–1 February. The measured vertical gradient of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>
measured in 6–14 February is also shown for comparison.</p></caption>
          <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/2139/2016/acp-16-2139-2016-f09.png"/>

        </fig>

      <p>The Uintah Basin was covered by snow during UBWOS 2014. The importance of
heterogeneous reactions on the snow surface to formation of nitrated phenols
is evaluated using measurements of the vertical gradients of these species.
Here, the concentration gradient is defined as the concentrations measured
at 18.5 m subtracted from those measured at 1 m. As shown in Fig. 9, we
observed negative concentration gradients for nitrated phenols at night,
indicating that deposition was playing a role and consequently ground snow
was a net sink for nitrated phenols at night. A previous study suggested
heterogeneous reaction of N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> with phenol in the aqueous phase
produces NP  (Heal et al., 2007). Strong deposition of
N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> to the snow surface was observed at night during UBWOS 2014,
but as discussed no production of nitrated phenols near the snow surface was
detected at night (Fig. 9). The vertical gradients for nitrated phenols in
the daytime fluctuated around zero with large variations, which might be a
result of their low concentrations during daytime. The analysis of vertical
gradients implies that heterogeneous reactions on snow surface may not be
important for formation of nitrated phenols in the atmosphere during UBWOS
2014.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>In this study, nitrated phenols in the gas phase were measured using an
online acetate ToF-CIMS in an oil and gas production region during winter.
Strong diurnal profiles were observed for nitrated phenols, with
concentration maxima at night. As the dominant sink for nitrated phenols,
photolysis accounted for lower concentrations of nitrated phenols during
daytime. We determined that the photolysis of nitrated phenols was not an
important source of HONO during UBWOS 2014. Based on box model results, NP
was mainly formed in the daytime (73 %) from a wide range of precursors,
with significant contribution from the reaction of phenol with NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
radicals at night (27 %). Box model results also indicated that gas-phase
oxidation of aromatics was able to explain the measured concentrations of NP
and DNP. We demonstrated that box model results provided valuable
information on the detailed chemical mechanisms in the formation and
destruction of NP, e.g., the NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> dependence of NP yields from phenol
oxidations and chemical products of NP photolysis. We determined that
aqueous-phase reactions and heterogeneous reactions were minor sources of
nitrated phenols in this study. Although the data set of nitrated phenols was
collected in an oil and gas production region, the chemistry in secondary
formation of nitrated phenols and the dynamics of the budget of nitrated
phenols in other regions, e.g., urban areas, should behave similarly to
those shown in this study.</p>
      <p>Biomass burning activity did not affect the UBWOS 2014 measurements, and the
concentrations of phenols and nitrated phenols were mainly from oxidations
of aromatics in the atmosphere. The measurements during UBWOS 2014 provided
a great opportunity to study secondary formation of nitrated phenols in the
absence of other confounding sources. The UBWOS 2014 campaign also
represented the first coincident and high-time-resolution measurements of
aromatic hydrocarbons, phenols, and nitrated phenols in ambient air. The
measurements of phenol and nitrated phenols provided a better understanding
of their sources, budgets, and roles in atmospheric chemistry and for the
evaluation of the oxidation mechanisms of aromatics. This is achieved by the
emergence of the new ToF-CIMS and PTR-TOF techniques. We envision that these
techniques will provide the ability to detect many other intermediate
compounds in the atmosphere and that the measurements will advance the
understanding of atmospheric oxidation processes.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-16-2139-2016-supplement" xlink:title="pdf">doi:10.5194/acp-16-2139-2016-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>The Uintah Basin Winter Ozone Studies were a joint project led and
coordinated by the Utah Department of Environmental Quality (UDEQ) and
supported by the Uintah Impact Mitigation Special Service District (UIMSSD),
the Bureau of Land Management (BLM), the Environmental Protection Agency
(EPA), and Utah State University. This work was funded in part by the Western
Energy Alliance, and NOAA's Atmospheric Chemistry, Climate and Carbon Cycle
program. We thank Questar Energy Products for site preparation and support.
Chemical compositions of aerosol were provided by Tim Bates and James
Johnson from NOAA Pacific Marine Environmental Laboratory (PMEL) and the
Joint Institute for the Study of the Atmosphere and Ocean (JISAO) at the
University of Washington.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: J. Collett</p></ack><ref-list>
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    <!--<article-title-html>Secondary formation of nitrated phenols: insights from observations during
the Uintah Basin Winter Ozone Study (UBWOS) 2014</article-title-html>
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oxygenates at low levels and these measurements improve our understanding on
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