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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-16-4569-2016</article-id><title-group><article-title>Vortex-wide chlorine activation by a mesoscale PSC event in the Arctic winter of 2009/10</article-title>
      </title-group><?xmltex \runningtitle{Chlorine activation on mesoscale PSCs}?><?xmltex \runningauthor{T.~Wegner~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wegner</surname><given-names>Tobias</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Pitts</surname><given-names>Michael C.</given-names></name>
          <email>michael.c.pitts@nasa.gov</email>
        <ext-link>https://orcid.org/0000-0001-8240-7223</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Poole</surname><given-names>Lamont R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Tritscher</surname><given-names>Ines</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5285-7952</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Grooß</surname><given-names>Jens-Uwe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9485-866X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Nakajima</surname><given-names>Hideaki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2742-1230</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>NASA Langley Research Center, Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Science Systems and Applications, Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Energy and Climate Research IEK-7, Forschungszentrum Jülich, Jülich, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Institute for Environmental Studies, Tsukuba, 305-8506, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Michael C. Pitts (michael.c.pitts@nasa.gov)</corresp></author-notes><pub-date><day>13</day><month>April</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>7</issue>
      <fpage>4569</fpage><lpage>4577</lpage>
      <history>
        <date date-type="received"><day>22</day><month>October</month><year>2015</year></date>
           <date date-type="rev-request"><day>30</day><month>November</month><year>2015</year></date>
           <date date-type="rev-recd"><day>13</day><month>March</month><year>2016</year></date>
           <date date-type="accepted"><day>14</day><month>March</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/16/4569/2016/acp-16-4569-2016.html">This article is available from https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016.pdf</self-uri>


      <abstract>
    <p>In the Arctic polar vortex of the 2009/10 winter temperatures were low enough
to allow widespread formation of polar stratospheric clouds (PSCs). These
clouds occurred during the initial chlorine activation phase which provided
the opportunity to investigate the impact of PSCs on chlorine activation.
Satellite observations of gas-phase species and PSCs are used in combination
with trajectory modeling to assess this initial activation. The initial
activation occurred in association with the formation of PSCs over the east
coast of Greenland at the beginning of January 2010. Although this area of
PSCs covered only a small portion of the vortex, it was responsible for
almost the entire initial activation of chlorine vortex wide. Observations
show HCl (hydrochloric acid) mixing ratios decreased rapidly in and
downstream of this region. Trajectory calculations and simplified
heterogeneous chemistry modeling confirmed that the initial chlorine
activation continued until ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (chlorine nitrate) was completely
depleted and the activated air masses were advected throughout the polar
vortex. For the calculation of heterogeneous reaction rates, surface area
density is estimated from backscatter observations. Modeled heterogeneous
reaction rates along trajectories intersecting with the PSCs indicate that
the initial phase of chlorine activation occurred in just a few hours. These
calculations also indicate that chlorine activation on the binary background
aerosol is significantly slower than on the PSC particles and the observed
chlorine activation can only be explained by an increase in surface area
density due to PSC formation. Furthermore, there is a strong correlation
between the magnitude of the observed HCl depletion and PSC surface area
density.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Heterogeneous chemistry on stratospheric aerosol and polar stratospheric
clouds (PSCs) plays a crucial role in the formation of the Antarctic ozone
hole <xref ref-type="bibr" rid="bib1.bibx26" id="paren.1"/>. While the stratospheric aerosol layer is present
globally at all times <xref ref-type="bibr" rid="bib1.bibx10" id="paren.2"/>, PSCs only form over the polar
regions of the winter hemisphere <xref ref-type="bibr" rid="bib1.bibx16" id="paren.3"/>. PSCs are ubiquitous in the
Antarctic winter but wide-spread PSC occurrence over the Arctic is only
observed during very cold winters <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx21" id="paren.4"/>. PSCs have a
substantial influence on the chemical composition of the polar stratosphere:
on the one hand heterogeneous chemistry on PSC particles impacts the
partitioning of inorganic chlorine by chlorine activation
<xref ref-type="bibr" rid="bib1.bibx27" id="paren.5"/>, i.e., by converting inorganic chlorine reservoir species
(mainly HCl and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) to photo-active species
(ClO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> ClO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> Cl<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">2</mml:mn></mml:msub></mml:math></inline-formula>).
On the other hand, PSC particles can grow large enough to effectively
denitrify <xref ref-type="bibr" rid="bib1.bibx6" id="paren.6"/> and dehydrate <xref ref-type="bibr" rid="bib1.bibx11" id="paren.7"/> the lower
stratosphere. Although PSCs have a pivotal role in determining stratospheric
chemical composition and have been subject to extensive research since the
1980s, some details are still subject to uncertainty.</p>
      <p>Two of the key questions are the following: (1) to which extent is heterogeneous chemistry
on PSC particles responsible for chlorine activation and (2) what are the
timescales for this processing? Several studies
<xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx32 bib1.bibx12" id="paren.8"><named-content content-type="pre">e.g.</named-content></xref> have suggested that the
influence of PSCs on chlorine activation in subordinate to that of cold
binary aerosol on a vortex-wide scale. When temperatures approach the frost
point, heterogeneous reaction rates are large enough to activate chlorine on
timescales of minutes to hours regardless of surface type
<xref ref-type="bibr" rid="bib1.bibx30" id="paren.9"/>. On the other hand, <xref ref-type="bibr" rid="bib1.bibx2" id="text.10"/> and
<xref ref-type="bibr" rid="bib1.bibx13" id="text.11"/> showed that nearly complete chlorine activation can be
achieved in a mountain-wave PSC at sufficiently low temperatures and large
surface area densities.</p>
      <p>This study investigates the influence of mesoscale PSCs on the chemical
composition of the entire vortex. Mesoscale PSCs are larger in spatial scale
than mountain-wave induced PSCs but still only cover a small fraction of the
polar vortex. We use data from the Cloud-Aerosol LIdar with Orthogonal
Polarization <xref ref-type="bibr" rid="bib1.bibx31" id="paren.12"><named-content content-type="pre">CALIOP,</named-content></xref> instrument for studying PSCs and
data from the Microwave Limb Sounder <xref ref-type="bibr" rid="bib1.bibx29" id="paren.13"><named-content content-type="pre">MLS,</named-content></xref> in
combination with model calculations of the Chemical Lagrangian Model of the
Stratosphere <xref ref-type="bibr" rid="bib1.bibx17" id="paren.14"><named-content content-type="pre">CLaMS,</named-content></xref> to examine the impact of a
mesoscale PSC on the chemical composition of the Arctic vortex in
January 2010. CALIOP backscatter observations are used to derive particle
surface area density (SAD) which is then used to calculate chlorine
activation. Through these analyses, we will examine the impact of PSC SAD
enhancements on chlorine activation compared with the cold binary background
aerosol.</p>
</sec>
<sec id="Ch1.S2">
  <title>Instrumentation and model description</title>
      <p>The Cloud-Aerosol Lidar and Infrared Pathfinder Spaceborne Observations
(CALIPSO) satellite is member of the A-train satellite constellation
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.15"/> orbiting at an inclination of 98.2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> that
provides coverage up to 82<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude in each hemisphere. Its primary
instrument is CALIOP which measures backscatter at 1064 and 532 nm, with the
532 nm channel separated into orthogonal polarization components parallel
and perpendicular to the polarization plane of the outgoing laser beam. The
CALIOP classification scheme distinguishes between supercooled ternary
solutions (STS), mixtures of STS and nitric acid trihydrate (NAT) and ice.
Mixtures of STS and NAT are further divided into three groups: MIX 1, MIX 2
and MIX 2 enhanced, in order of increasing NAT number density. CALIOP also
distinguishes between synoptic and wave ice. PSCs are identified in the
CALIOP measurements as enhancements in backscatter at 532 nm with an
altitude-dependent threshold of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn>532</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between <inline-formula><mml:math display="inline"><mml:mn mathvariant="normal">2</mml:mn></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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> in the algorithm described in
<xref ref-type="bibr" rid="bib1.bibx22" id="text.16"/>. We show sensitivity studies that use different threshold
backscatter ratios between <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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>, where the latter backscatter threshold is
high enough to indicate the presence of ice PSCs. Details about the CALIOP
PSC classification algorithm can be found in <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx21 bib1.bibx22" id="text.17"/>.</p>
      <p>The microwave limb sounder (MLS) is an instrument on the Aura satellite,
which is also part of the A-train constellation and has provided nearly
continuous measurements since 2004. MLS provides about 3500 profiles of
gas-phase species and temperature from Earth's surface to 90 km altitude
between 82<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 82<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S per day. In this study, we use MLS
HCl data from retrieval version 3.3 <xref ref-type="bibr" rid="bib1.bibx15" id="paren.18"/> which are comparable
to version 2.2. Retrieval version 2.2 for HCl has been validated in
<xref ref-type="bibr" rid="bib1.bibx25" id="text.19"/>. The vertical resolution and precision of the HCl
observations are 3 km and 0.2–0.3 ppbv, respectively.</p>
      <p>CALIOP and MLS observations are linearly interpolated to a 20<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> by
2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (longitude <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> latitude) grid on fixed potential
temperature surfaces each day. Potential temperature is calculated from the
original MLS pressure levels and temperature data from the modern-era
retrospective analysis for research and applications
<xref ref-type="bibr" rid="bib1.bibx24" id="paren.20"><named-content content-type="pre">MERRA,</named-content></xref>.</p>
      <p>Air mass trajectories are calculated with CLaMS which uses a fourth-order
Runge-Kutta scheme. The wind fields for these trajectories are taken from
ERA-INTERIM <xref ref-type="bibr" rid="bib1.bibx4" id="paren.21"/>. Threshold temperatures <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>NAT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (NAT
existence temperature) and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>ACl</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (chlorine activation temperature)
which can serve as indicators for chlorine activation <xref ref-type="bibr" rid="bib1.bibx5" id="paren.22"/> are
calculated with temperatures and trace gas concentration from a CLaMS
simulation described in <xref ref-type="bibr" rid="bib1.bibx9" id="text.23"/>. The vortex edge is defined
according to <xref ref-type="bibr" rid="bib1.bibx19" id="text.24"/>.</p>
      <p>A simple algorithm was defined to determine the locations of air masses that
had previously passed through the PSC event. Trajectories are used to track
air masses downwind of a PSC that is defined by the CALIOP detection
threshold. These air masses are called “Processed Air” since we assume that
chlorine activation predominantly occurred in such air masses. On a given day
a grid box is labeled as filled with “Processed Air” if a processed air
mass has passed through this grid box on that day. A grid box is then labeled
as filled with “Unprocessed Air” if on a given day no processed air masses
have passed through this grid box even if this grid box was marked with
“Processed Air” on previous days. This way we can describe for each day the
fraction of the vortex that is filled with air masses which have previously
encountered a PSC.</p>
      <p>The determination of heterogeneous reaction rates requires an estimation of
the particle surface area density (SAD) of PSCs and the background aerosol as
realistic as possible. Following the approach of <xref ref-type="bibr" rid="bib1.bibx7" id="text.25"/>, we
performed Mie calculations for unimodal lognormal particle size distributions
representative of the polar stratosphere to derive a relationship between
CALIOP measurements of particulate backscatter at 532 nm and the liquid
particle SAD. Figure <xref ref-type="fig" rid="Ch1.F1"/>a shows calculated liquid particle SAD and
backscatter (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mn>532</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">liquid</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) as a function of temperature
relative to the frost point (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">frost</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for the following
conditions: pressure <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 30 hPa, HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15 ppbv,
H<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:mo>=</mml:mo></mml:math></inline-formula> 5 ppmv, particle number density <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10 cm<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>
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.26"/>, and lognormal geometric standard deviation
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.6 <xref ref-type="bibr" rid="bib1.bibx14" id="paren.27"/> which describes the width of the
distribution. For these calculations, liquid particle volume was prescribed
as a function of temperature according to <xref ref-type="bibr" rid="bib1.bibx1" id="text.28"/>; mode radius
(for the Mie calculations) and SAD were then calculated from particle volume
using standard relationships for a unimodal lognormal.</p>
      <p>Calculated values of liquid SAD and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mn>532</mml:mn><mml:mo>,</mml:mo><mml:mtext>liquid</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> from
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a are plotted against each other in Fig. <xref ref-type="fig" rid="Ch1.F1"/>b. The dashed
curve shows the least-squares quadratic fit in log-log space between the two
parameters, which we will use in this study. With fixed number density
<inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10 cm<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> and width of lognormal distribution
<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.6, calculated points fall along the same least-squares curve
for different pressure levels (50 and 70 hPa), HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios (2, 5,
and 10 ppbv), and H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O mixing ratio (2 ppmv). Values calculated for
different number densities (<inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5 and <inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15 cm<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>) and
geometric standard deviations (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.3 and <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.8)
fall along different curves, but all points lie within the limits depicted by
the solid gray curves. Given the small envelope defined by those parameters
the relationship between SAD and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mn>532</mml:mn><mml:mo>,</mml:mo><mml:mtext>liquid</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is robust and
covers a wide range of possible conditions in the polar vortex. Measured
values of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mn>532</mml:mn><mml:mo>,</mml:mo><mml:mtext>liquid</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> larger than <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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> likely signify ice PSCs. The SAD estimated
using the least-squares relationship for liquid particles can be considered a
lower limit of SAD for ice PSCs. The relationship between backscatter and
surface area density for STS particles can then be described
by

              <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>log⁡</mml:mi><mml:mn>10</mml:mn></mml:msub><mml:mtext>SAD</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn>3.474</mml:mn><mml:mo>+</mml:mo><mml:mn>0.671</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi>log⁡</mml:mi><mml:mn>10</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn>532</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.007</mml:mn><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>log⁡</mml:mi><mml:mn>10</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn>532</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p><bold>(a)</bold> Temperature dependence of STS surface area density (top
<inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> scale) and the corresponding theoretical backscatter signal at 532 nm
for typical stratospheric conditions. <bold>(b)</bold> Relationship between STS
surface area density and particulate backscatter color coded according to
their theoretical temperature. Gray curves mark the deviation from the fitted
function for varying ambient conditions.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>The mesoscale PSC event</title>
      <p>Near the end of December 2009, CALIOP observed an increase in backscatter
over Greenland, corresponding to the first major formation of liquid and ice
PSCs <xref ref-type="bibr" rid="bib1.bibx21" id="paren.29"/> during the Arctic winter 2009/10. The increase in SAD
indicates condensation of HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on the background aerosol or the nucleation
of NAT and ice particles. The PSC backscatter and areal extent increased
during the following 2 days reaching a maximum on 2 January 2010 before
slowly decreasing on subsequent days. Figure <xref ref-type="fig" rid="Ch1.F2"/> shows the PSC
classification according to <xref ref-type="bibr" rid="bib1.bibx21" id="text.30"/> from the CALIOP observations on
2 January. The PSC extends between 20 and 25 km in altitude and is a mixture of
all PSC types. CALIOP observations indicate that STS forms first over the
west coast of Greenland followed by wave ice formation over central
Greenland. Synoptic ice and NAT mixtures occur downstream of the wave ice
over eastern Greenland. While Fig. <xref ref-type="fig" rid="Ch1.F2"/> represents only a snapshot of the
PSC, it also provides information about the temporal evolution of PSC
particles. The temporal evolution of PSC particles within a confined air mass
will look very similar to the geographical distribution depicted in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>, with STS forming first, followed by ice and NAT particles.
Figure <xref ref-type="fig" rid="Ch1.F2"/> also shows the limitations of our current observations with
gaps of hundreds of kilometers between the orbits. During this PSC event, the
vortex was shifted away from the pole over northeast Canada and northern
Russia. The vortex remained stable during this time frame with only limited
dynamic disturbances.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>CALIOP PSC observations along orbits over Greenland on
2 January 2010 color coded according to the CALIOP classification.
Green: STS; Yellow: MIX 1; Orange: MIX 2; Red: MIX 2 enhanced;
Cyan: Synoptic Ice; Blue: Wave Ice</p></caption>
        <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016-f02.pdf"/>

      </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F3"/> shows backscatter over a 6-day period from 31 December 2009
to 5 January 2010 and the prevailing winds. From the meteorological data we
estimate the wind speed in the vicinity of the PSC to be 20 m 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>
which yields a residence time of about 1 day for air parcels traveling
through the PSC. Chlorine activation is limited by the availability of the
reservoir species and will cease once either HCl or ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are depleted
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.31"/>. Heterogeneous chemistry on stratospheric aerosols is
primarily the conversion of HCl and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> into ClO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>
(ClO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> Cl<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">2</mml:mn></mml:msub></mml:math></inline-formula>). Therefore, the observations of gas-phase
HCl by MLS can serve as an indicator of heterogeneous processing with low
values of HCl indicating air masses where inorganic chlorine has been
activated. Since HCl is more abundant than ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at the beginning of
winter, ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is the limiting component in chlorine activation
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.32"/>.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F3"/>a shows that low HCl mixing ratios are co-located with the
PSCs over northern Greenland on 31 December and that HCl mixing ratios
upstream of the PSC are more than twice as high compared to air exposed to
the PSC. CALIOP observed backscatter values above <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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> which corresponds to a tenfold increase of SAD
relative to background conditions, or to around
10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> cm<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>. During all subsequent days, HCl is always
lower in the vicinity of PSCs compared to areas upstream with HCl mixing
ratios decreasing to less than 0.5 ppbv during this period, about a quarter
of their values in a chemically unperturbed vortex.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>The meteorological situation over a 6-day period from
31 December 2009 to 5 January 2010 for the Arctic winter 2009/2010 on the
510 K isentrope (approximately 22 km). Arrows show the prevailing wind
direction and speed. The vortex edge is calculated according to
<xref ref-type="bibr" rid="bib1.bibx19" id="normal.33"/> and shown in solid black. Solid magenta indicates regions of
the vortex with air which has passed through a PSC. Blue and red contours
show the particulate backscatter from CALIOP where blue represents the
detection limit for CALIOP (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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 red
values are indicative of PSCs with a surface area density of more than
10 times the background values (<inline-formula><mml:math display="inline"><mml:mrow><mml:mn>1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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>).
Gray contours show HCl mixing ratios from MLS.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016-f03.png"/>

      </fig>

      <p>The low HCl mixing ratios persist downstream of the PSCs and do not decrease
further, in agreement with current knowledge that chlorine activation is
highly dependent on SAD, temperature and the ratio of HCl <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
Model calculations (not shown) indicate that ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is totally depleted
downstream of the PSC. Additional activation can only occur when ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is
regenerated <xref ref-type="bibr" rid="bib1.bibx23" id="paren.34"/>. ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> controls the total amount of
chlorine that can be activated while PSCs determine the area in which
activation occurs. Low HCl concentrations observed in regions where our
calculations indicate that only unprocessed air is present, could originate
from either physical mixing with processed air or averaging along the MLS
field of view. We also need to stress that such trajectory calculations rely
on the quality of the wind fields used and are subject to errors which are
difficult to quantify.</p>
      <p>The air which was exposed to PSCs on 31 December 2009 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a,
enclosed by red and blue contour lines) has completed a full circumnavigation
of the vortex after 5 days (5 January 2010, Fig. <xref ref-type="fig" rid="Ch1.F3"/>f) and re-entered
the region where it first encountered PSCs. Air which was not exposed to PSCs
tends to have higher HCl mixing ratios, indicating that little chlorine
activation occurred outside of PSCs, as shown clearly, for example, on
2 January in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c. Air between Norway and Novaya Zemlya followed
its own cyclonic circulation separate from the polar vortex. Air in this
region did not encounter PSCs nor sunlight, leading to constant HCl mixing
ratios. This situation persisted for several days and the trajectories
passing through PSCs actually flowed around this region. After 3 January
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>d–e) air with low HCl mixing ratios flows into the PSC covered
area from the unobserved area north of 82<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> so we do not have a
complete history of HCl concentrations in relation to PSC exposure for these
air masses.</p>
      <p>As Fig. <xref ref-type="fig" rid="Ch1.F3"/> indicates, it takes about 5 days for air masses to
circumnavigate the polar vortex. This means that a PSC with a sufficiently
large meridional extent can activate chlorine throughout the entire vortex
even when the PSC itself only covers a small fraction of the vortex. Such a
PSC can serve as a “processing reactor” for chlorine activation with
heterogeneous chemistry basically limited to the time air masses spend inside
the PSC. Vortex-averaged HCl mixing ratios which are commonly used to
estimate chlorine activation would not accurately represent the true nature
of activation within the vortex, under these conditions.</p>
      <p>While chlorine activation is generally observed within the boundary of
elevated backscatter values as observed by CALIOP, the lowest HCl mixing
ratios are correlated with the highest backscatter values.
Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the ratio of mean HCl mixing ratios in processed
air which has been exposed to backscatter values above certain thresholds to
the vortex average HCl mixing ratio. The backscatter thresholds in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>a–c indicate the formation of STS. Figure <xref ref-type="fig" rid="Ch1.F4"/>d
suggests the presence of ice since backscatter values of this magnitude
correspond to higher surface area densities than physically possible with
only the condensation of HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>The ratio of mean HCl mixing ratios to the vortex average HCl mixing ratio is
also shown for air which has been exposed to temperatures below either
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">NAT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">ACl</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. After 5 days the HCl mixing ratios
within processed air are indistinguishable from the vortex mean (indicated by
the white contour on the right side of each panel) because all air within the
vortex has been exposed to PSCs. With smaller threshold backscatter values
chosen for the area describing the “processing reactor”
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>d to a), HCl mixing ratios in air which has been exposed
to PSCs gradually approach the vortex average. This shows that chlorine
activation occurs locally in the area covered by PSCs but not on a vortex-wide scale.</p>
      <p>Temperature thresholds for chlorine activation do not capture this localized
effect. The air exposed to an area enclosed by a temperature threshold is
always very similar to the vortex average since those areas already encompass
the main part of the vortex. Therefore, neither <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">NAT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> nor
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">ACl</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> provide realistic information on the location where chlorine
activation occurs for the period considered in this study. Only thresholds
based on backscatter provide this information.</p>
      <p>In addition, Fig. <xref ref-type="fig" rid="Ch1.F4"/> indicates that at the beginning of the
activation phase under study, the average HCl mixing ratio in the area above
a chosen backscatter threshold decreases as the backscatter threshold is
increased. Since backscatter can be used as a proxy for surface area density,
the surface area provided by PSCs appears to have a direct affect on
gas-phase HCl concentrations. While HCl mixing ratios above a backscatter
threshold indicative of STS (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a) have a minimum of 70 % of
vortex average HCl mixing ratios, HCl mixing ratios above a threshold
suggestive of ice PSCs (Fig. <xref ref-type="fig" rid="Ch1.F4"/>d) have a minimum of 50 % of the
vortex average HCl mixing ratios. Therefore, chlorine activation processes
visibly faster with increasing surface area density. The magnitude of
chlorine activation appears to be correlated with available surface area
density provided by PSCs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Ratio of average HCl mixing ratio of air that passed through a
specified area to the vortex average HCl mixing ratio. The ratio is
calculated for six areas, four encompassed by backscatter
thresholds <bold>(a–d)</bold> and two by temperature thresholds
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">NAT</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>e</bold> and T<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ACl</mml:mi></mml:msub></mml:math></inline-formula>, <bold>f</bold>). A ratio of
less than one indicates air inside the contour has a lower HCl mixing ratio
than the vortex average.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016-f04.pdf"/>

      </fig>

      <p>The mesoscale PSC event leaves a visible mark on HCl mixing ratios. When
separating the polar vortex into regions of processed and unprocessed air, we
find lower HCl mixing ratios in processed air (Fig. <xref ref-type="fig" rid="Ch1.F5"/>) between
31 December and 9 January. Observations by MLS show that for all days between
20 and 25 km, HCl is lower in processed air compared to unprocessed air.
However, the large uncertainties indicate that the distinction between
processed and unprocessed air is difficult and that the mean values are
calculated from heterogeneous air masses. Still, we see a clear trend that
chlorine activation has progressed further in air masses which have been
exposed to PSCs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Correlation of daily average MLS HCl in processed (Backscatter
threshold: <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> km<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> sr<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 unprocessed air from
31 December to 9 January for six different altitudes. Error bars indicate the
1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard deviation of calculating the daily average HCl mixing
ratios.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016-f05.png"/>

      </fig>

      <p>The analysis for Fig. <xref ref-type="fig" rid="Ch1.F5"/> was repeated with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>NAT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>ACl</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (not shown) as indicators for processed air. Here, processed
air describes those grid boxes with temperatures less than the respective
threshold temperatures and grid boxes where trajectories are present which
have encountered temperatures less than the temperature thresholds in their
past. Two main differences emerge. First, the daily mean mixing ratios for
processed and unprocessed air are more similar, making a distinction between
them difficult. Second, processed air covers the entire vortex more quickly
because both temperature thresholds cover a larger area of the vortex than
our PSC threshold. This leads to fewer available data points. Using either of
the temperature thresholds to describe processed air does not show any
significant difference between processed and unprocessed air.</p>
</sec>
<sec id="Ch1.S4">
  <title>Modeling heterogeneous chemistry</title>
      <p>For a quantitative understanding of the shown HCl decrease we use the
trajectories combined with a very simplified heterogeneous chemistry scheme.
Using the relationship in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), we can use CALIOP backscatter to
calculate PSC SAD along trajectories passing through the maximum PSC
backscatter. The trajectories are initialized with H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and HCl
from MLS observations and it is assumed that at the start of the trajectories
no chlorine has been activated yet. Hence, ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is initialized as the
difference between total inorganic chlorine (Cl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>) and HCl with Cl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></mml:msub></mml:math></inline-formula>
derived from the Cl<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi>y</mml:mi></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 tracer–tracer relationship <xref ref-type="bibr" rid="bib1.bibx8" id="paren.35"/>.
The simplified chemistry consists of three heterogeneous reactions which are
modeled along the trajectories:


              <disp-formula id="Ch1.E2" content-type="numbered reaction"><mml:math display="block"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p><?xmltex \hack{\newpage}?>

              <disp-formula specific-use="align" content-type="numbered reaction"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">ClONO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HNO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">HCl</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HOCl</mml:mi></mml:mrow><mml:mo>⟶</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p>No additional reactions are included in the calculations since they are not
relevant to assess chlorine activation on timescales of up to 1 day. The
uptake coefficients for all three reactions are calculated for STS even when
backscatter values indicate the presence of ice. However, no difference in
HCl mixing ratios is evident when the uptake coefficients for ice are used
once backscatter values suggest the presence of ice PSCs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Temporal evolution of three trajectories on 510 K potential
temperature which were initialized at the same time at different locations.
The trajectories encounter their first maximum in backscatter on
31 December <bold>(a, d)</bold>, 1 January <bold>(b, e)</bold> and
2 January <bold>(c, f)</bold>, respectively. The period from 30 December 2009 to
8 January 2010 is shown for all three trajectories. Left
column <bold>(a–c)</bold> shows backscatter (blue), temperature (red), time
below <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>NAT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>-3 K (red shading) and time below <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>ICE</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (blue
shading). Right column <bold>(d–f)</bold> shows surface area density (blue), HCl
(red) and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (green). Red stars are the daily mean HCl mixing ratios
observed by MLS interpolated on the position of the trajectory and circles
are CLaMS mixing ratios of HCl (red) and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (green), respectively.
Solid red and green lines represent HCl and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> where SAD for
calculating heterogeneous reaction rates is calculated from the observed
backscatter. Dashed red and green lines represent HCl and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> where SAD
is calculated for a binary aerosol.</p></caption>
        <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/4569/2016/acp-16-4569-2016-f06.png"/>

      </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F6"/>a–c shows backscatter, temperature, time below
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>NAT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>-3 K and time below <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>ICE</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for three different
trajectories. These trajectories are initialized on 30 December at different
locations so each of them would encounter their first maximum in backscatter
on another day. Trajectory 1 (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a) encounters its maximum on
31 December, Trajectory 2 (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b) on 1 January and Trajectory 3
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>c) on 2 January. Figure <xref ref-type="fig" rid="Ch1.F6"/>d–f then shows the calculated
SAD, modeled HCl and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for two different cases and observations by
MLS along these trajectories.</p>
      <p>The maximum backscatter suggests the presence of ice clouds when the
trajectories encounter their first maximum in backscatter; however,
temperatures only decrease below the frost point on 6 January for
trajectory 1 which encountered its backscatter maximum on 31 December
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>a). This suggests that temperatures below the frost point
might not be resolved by the used meteorological data.</p>
      <p><?xmltex \hack{\newpage}?>The evolution of modeled HCl and observations (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d–f) shows very
good agreement for the first activation phase. <xref ref-type="bibr" rid="bib1.bibx18" id="text.36"/> also
reported very good agreement of model and observations during this phase. HCl
along the trajectories deviates from the observations after a couple of days.
However, chlorine activation in the first half of the trajectories can still
be analyzed. A decrease in HCl coincides with an increase in surface area
density and ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is totally depleted after the initial activation. This
confirms that ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is indeed the limiting factor for chlorine activation
because observed HCl also does not decrease further once the model shows
complete removal of ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The complete removal of ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> also occurs
before the first maximum in surface area density (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d–f), but
activation starts when SAD increases above background values. Neither
observations nor modeled chemistry indicate significant chlorine activation
in the absence of PSCs. In fact, when heterogeneous chemistry is only modeled
on a binary sulfate aerosol (without uptake of HNO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> as temperatures
decrease) chlorine activation does not only progress slower
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>d–f, dashed lines) but also does not completely deplete
ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
      <p>While previous studies have shown that for an entire winter season
heterogeneous chemistry on cold binary aerosol is sufficient to achieve
complete chlorine activation <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx32" id="paren.37"/>, in the case of
a mesoscale event as described in this study chlorine activation on PSCs is
faster than on the background aerosol. The observed activation could not have
occurred without the additional surface area provided by PSCs. However,
Fig. <xref ref-type="fig" rid="Ch1.F6"/>f also shows that after 5 days, heterogeneous chemistry on
only the binary aerosol has depleted all the initially available ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
In agreement with <xref ref-type="bibr" rid="bib1.bibx5" id="text.38"/> the degree of chlorine activation on only
the background aerosol would become indistinguishable from chlorine
activation on PSCs after about 10 days, or the time it takes for an air
parcel to fully circumnavigate the vortex twice.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We have analyzed CALIOP and MLS observations in combination with modeled
trajectories to quantify the initial chlorine activation phase for the winter
2009/10 and constrain the spatial and temporal scales on which chlorine
activation occurred; thus, this answers the question regarding the extent to which
heterogeneous chemistry on PSC particles is responsible for chlorine
activation and the timescales for this processing. Our analysis has shown
that mesoscale PSCs can have a substantial effect on chlorine chemistry
throughout the polar vortex, even though the PSCs themselves only cover a
small fraction of the polar vortex. A substantial decrease in HCl is observed
in air masses exposed to PSCs for about 24 h. MLS observations indicate that
air masses with low HCl mixing ratios occur downstream of this PSC event in
agreement with the trajectory calculations. The modeled trajectories provide
a solid approximation of the path the air has taken after it encountered the
PSC and allow to distinguish between processed and unprocessed air masses.
The average daily HCl mixing ratio shows substantially smaller HCl values in
processed than in unprocessed air. We also show that chlorine activation in
the polar vortex is not always a uniform process but can occur in mesoscale
PSC “processing reactors”. Heterogeneous chemistry occurs in these
“processing reactors” and the air is subsequently advected and mixed
throughout the vortex. Chlorine activation does not occur homogeneously
throughout the vortex and HCl mixing ratios can vary significantly,
especially during this initial activation phase. Therefore, a vortex average
point of view does not provide an accurate representation during this phase.
The trajectory calculations show that the availability of ClONO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> limits
the extent of chlorine activation. For the first time, CALIOP backscatter
observations were utilized to estimate surface area density and model
heterogeneous chemistry along trajectories. Results from these simulations
are in good agreement with observed mixing ratios of HCl. These calculations
also show that the SAD enhancements from PSCs lead to faster chlorine
activation than would occur on the background aerosol. While the background
aerosol could eventually activate the same amount of chlorine as the PSCs,
over the time and spatial scales considered in this study, the observed rate
of chlorine activation can only be explained by the additional surface area
provided by PSCs. While this study focuses on the Arctic, similar conditions
like the situation over Greenland in January 2010 can also occur over the
Antarctic. Optically thick PSCs over Antarctica predominantly occur over the
Antarctic peninsula; therefore, this area can also serve as a processing
reactor for chlorine activation.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>This work is funded under NASA's postdoctoral program administered by Oak
Ridge Associated Universities. We are grateful to NASA for the MERRA
meteorological analysis and EOS MLS and CALIOP teams for their high-quality
data products. We also like to thank two anonymous reviewers for their
comments which greatly improved the quality of the manuscript.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: F. Khosrawi</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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    <!--<article-title-html>Vortex-wide chlorine activation by a mesoscale PSC event in the Arctic winter of 2009/10</article-title-html>
<abstract-html><p class="p">In the Arctic polar vortex of the 2009/10 winter temperatures were low enough
to allow widespread formation of polar stratospheric clouds (PSCs). These
clouds occurred during the initial chlorine activation phase which provided
the opportunity to investigate the impact of PSCs on chlorine activation.
Satellite observations of gas-phase species and PSCs are used in combination
with trajectory modeling to assess this initial activation. The initial
activation occurred in association with the formation of PSCs over the east
coast of Greenland at the beginning of January 2010. Although this area of
PSCs covered only a small portion of the vortex, it was responsible for
almost the entire initial activation of chlorine vortex wide. Observations
show HCl (hydrochloric acid) mixing ratios decreased rapidly in and
downstream of this region. Trajectory calculations and simplified
heterogeneous chemistry modeling confirmed that the initial chlorine
activation continued until ClONO<sub>2</sub> (chlorine nitrate) was completely
depleted and the activated air masses were advected throughout the polar
vortex. For the calculation of heterogeneous reaction rates, surface area
density is estimated from backscatter observations. Modeled heterogeneous
reaction rates along trajectories intersecting with the PSCs indicate that
the initial phase of chlorine activation occurred in just a few hours. These
calculations also indicate that chlorine activation on the binary background
aerosol is significantly slower than on the PSC particles and the observed
chlorine activation can only be explained by an increase in surface area
density due to PSC formation. Furthermore, there is a strong correlation
between the magnitude of the observed HCl depletion and PSC surface area
density.</p></abstract-html>
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