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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-21-15259-2021</article-id><title-group><article-title>The Asian tropopause aerosol layer within the 2017 monsoon anticyclone: microphysical properties derived from<?xmltex \hack{\break}?> aircraft-borne in situ measurements</article-title><alt-title>The Asian tropopause aerosol layer within the 2017 monsoon
anticyclone</alt-title>
      </title-group><?xmltex \runningtitle{The Asian tropopause aerosol layer within the 2017 monsoon
anticyclone}?><?xmltex \runningauthor{C.~Mahnke et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff11">
          <name><surname>Mahnke</surname><given-names>Christoph</given-names></name>
          <email>c.mahnke@fz-juelich.de</email>
        <ext-link>https://orcid.org/0000-0003-2606-1680</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Weigel</surname><given-names>Ralf</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1316-0292</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Cairo</surname><given-names>Francesco</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Vernier</surname><given-names>Jean-Paul</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Afchine</surname><given-names>Armin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7669-8295</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6 aff2">
          <name><surname>Krämer</surname><given-names>Martina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2888-1722</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Mitev</surname><given-names>Valentin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Matthey</surname><given-names>Renaud</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5747-0391</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Viciani</surname><given-names>Silvia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2260-094X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>D'Amato</surname><given-names>Francesco</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1349-6650</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Ploeger</surname><given-names>Felix</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Deshler</surname><given-names>Terry</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Borrmann</surname><given-names>Stephan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4774-9380</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Particle Chemistry Department, Max Planck Institute for Chemistry, Mainz, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute for Atmospheric Physics, Johannes Gutenberg University, Mainz, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Atmospheric Sciences and Climate, ISAC-CNR, Rome, Italy</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Institute of Aerospace, Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>NASA Langley Research Center, Hampton, Virginia, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Institute of Energy and Climate Research  –  IEK7, Forschungszentrum Jülich, Jülich, Germany</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Centre Suisse d'Electronique et de Microtechnique, CSEM SA, Neuchâtel, Switzerland</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Institut de Physique, Université de Neuchâtel, Neuchâtel, Switzerland</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>National Institute of Optics, CNR-INO, Sesto Fiorentino, Florence, Italy</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Department of Atmospheric Science, University of Wyoming, Laramie, Wyoming, USA</institution>
        </aff>
        <aff id="aff11"><label>a</label><institution>now at: Institute of Energy and Climate Research  –  IEK8, Forschungszentrum Jülich, Jülich, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Christoph Mahnke (c.mahnke@fz-juelich.de)</corresp></author-notes><pub-date><day>13</day><month>October</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>19</issue>
      <fpage>15259</fpage><lpage>15282</lpage>
      <history>
        <date date-type="received"><day>5</day><month>December</month><year>2020</year></date>
           <date date-type="accepted"><day>16</day><month>September</month><year>2021</year></date>
           <date date-type="rev-recd"><day>15</day><month>September</month><year>2021</year></date>
           <date date-type="rev-request"><day>6</day><month>January</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Christoph Mahnke et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021.html">This article is available from https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e263">The Asian summer monsoon is an effective pathway for aerosol particles and
precursors from the planetary boundary layer over Central, South, and East
Asia into the upper troposphere and lower stratosphere. An enhancement of
aerosol particles within the Asian monsoon anticyclone (AMA), called the Asian tropopause aerosol layer (ATAL), has been observed
by satellites. We discuss
airborne in situ and remote sensing observations of aerosol microphysical
properties conducted during the 2017 StratoClim field campaign within the AMA
region. The aerosol particle measurements aboard the high-altitude research
aircraft M55 <italic>Geophysica</italic> (maximum altitude reached of <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)
were conducted with a modified ultra-high-sensitivity aerosol
spectrometer – airborne (UHSAS-A; particle diameter detection range of
65 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), the COndensation PArticle counting System
(COPAS, detecting total concentrations of submicrometer-sized particles), and
the New Ice eXpEriment – Cloud and Aerosol Spectrometer with Detection of
POLarization (NIXE-CAS-DPOL). In the COPAS and UHSAS-A vertical particle
mixing ratio (PMR) profiles and the size distribution profiles (for number,
surface area, and volume concentration), the ATAL is evident as a distinct
layer between <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">370</mml:mn></mml:mrow></mml:math></inline-formula> and 420 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature (<inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>). Within the ATAL, the maximum detected PMRs (from the median profiles) were
<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">700</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for particle diameters between 65 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and
1 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (UHSAS-A) and higher than 2500 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for diameters
larger than 10 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> (COPAS). These values are up to 2 times higher
than those previously found at similar altitudes in other tropical locations. The
difference between the PMR profiles measured by the UHSAS-A and the COPAS
indicate that the region below the ATAL at <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> levels from 350 to
370 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> is influenced by the nucleation of aerosol particles (diameter
<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>). We provide detailed analyses of the vertical distribution
of the aerosol particle size distributions and the PMR and compare these with
previous tropical and extratropical measurements. The backscatter ratio (BR)
was calculated based on the aerosol particle size
distributions measured in situ. The resulting data set was compared with the vertical profiles
of the BR detected by the multiwavelength aerosol scatterometer (MAS) and an
airborne<?pagebreak page15260?> miniature aerosol lidar (MAL) aboard the M55 <italic>Geophysica</italic> and by the
satellite-borne Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP). The
data of all four methods largely agree with one another, showing enhanced BR values in the altitude range of the ATAL (between <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> and
18.5 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) with a maximum at 17.5 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. By means of the
AMA-centered equivalent latitude calculated from meteorological reanalysis
data, it is shown that such enhanced values of the BR larger than 1.1 could only be
observed within the confinement of the AMA.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e468">During the Asian summer monsoon (ASM) the upper troposphere–lower
stratosphere (UT–LS) over the Indian subcontinent is strongly influenced by
the Asian monsoon anticyclone (AMA). Inside the AMA, the ATAL (Asian
tropopause aerosol layer) was discovered from faint signals of satellite-borne
lidar measurements <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx47 bib1.bibx49" id="paren.1"/>. Its vertical
extent typically ranges from 14 to 18 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, roughly
corresponding to potential temperature
levels of 360 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and 420 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The AMA develops periodically during the Northern Hemisphere summer <xref ref-type="bibr" rid="bib1.bibx37" id="paren.2"/>, covering a vertical extent from about 12
to 18 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, and it has its maximum strength at 17 to
18 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, around the local tropopause
<xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx7" id="paren.3"/>. With the large variability in its
horizontal extent, the AMA covers longitudes from northeastern Africa to East
Asia <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx54" id="paren.4"/>. The dynamic processes associated with the AMA
provide the setting for an effective vertical transport of trace substances
from the lower troposphere, accompanied by a certain level of accumulation
within the anticyclone. These processes affect the composition of trace gases,
particle precursor gases, and aerosol particles at all levels of the UT–LS with
varying intensities
<xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx38 bib1.bibx41 bib1.bibx53 bib1.bibx36 bib1.bibx8" id="paren.5"/>.</p>
      <p id="d1e527">The AMA is a prominent feature with a closed, quasi-rotational circulation in
the UT–LS, which is confined by a westerly jet stream in the midlatitudes and
an easterly jet stream in the tropics
<xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx36 bib1.bibx7" id="paren.6"/>. Associated with the AMA are
large convective systems during monsoon times which provide rapid vertical
transport routes for trace substances, aerosol precursors, and aerosol
particles from the boundary layer to the altitude levels of the AMA, the
tropical tropopause layer (TTL), and the lower stratosphere
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.7"/>. The lifted material includes anthropogenic releases
from ground-level pollution such as ammonia that forms ammonium nitrate
particles in the troposphere <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx57" id="paren.8"/>, which can impact
ice cloud formation in the Asian monsoon upper troposphere
<xref ref-type="bibr" rid="bib1.bibx56" id="paren.9"/>. The TTL, which extends over an altitude range
from about 14 to 18 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in this area, acts as a “gateway to the stratosphere”
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.10"/>, as air from this region can be transported into the
lower stratosphere via diabatic ascent <xref ref-type="bibr" rid="bib1.bibx23" id="paren.11"/>. With the transport
of climate-relevant natural and anthropogenic trace gases, water vapor, and
aerosol particles into the stratosphere, precursor gases also enter the UT–LS,
which can lead or contribute to the formation of new particles from the gas
phase (new particle formation – NPF)
<xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx60 bib1.bibx64" id="paren.12"/>. Asia is currently one of the
regions with the highest emission of atmospheric sulfur worldwide. Therefore,
the vertical transport of these sulfur-containing aerosol particles and
particle precursor gases, through the high-reaching convection of the ASM, can
influence the chemical balance of the stratosphere and the climate
<xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx30" id="paren.13"/>. This was initially suggested as cause for the
ATAL <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx35 bib1.bibx68" id="paren.14"/>; however, <xref ref-type="bibr" rid="bib1.bibx28" id="text.15"/>
demonstrated that ammonium nitrate formed from gaseous ammonia and nitric acid
in the higher troposphere is an important, if not the dominant, component of
ATAL aerosol. Furthermore, model analysis (with the GEOS-Chem transport model)
by <xref ref-type="bibr" rid="bib1.bibx20" id="text.16"/> indicated the dominance of regional anthropogenic
emissions of particle precursors like sulfate, nitrate, and ammonia but also
aerosol particles (e.g., like primary organic aerosol) from China and the
Indian subcontinent to aerosol concentrations in the ATAL.</p>
      <p id="d1e573">For a more detailed analysis of these processes, airborne measurements of the
microphysical properties of aerosol particles are discussed in this
study. These measurements were conducted during the 2017 StratoClim field
campaign at the time of the ASM. In this paper, we examine the vertical
distribution of the submicron aerosol particle mixing ratio and the aerosol
particle size distributions within the AMA region. Balloon-borne in situ
aerosol backscatter measurements from
<xref ref-type="bibr" rid="bib1.bibx48" id="text.17"/>, <xref ref-type="bibr" rid="bib1.bibx69" id="text.18"/>, <xref ref-type="bibr" rid="bib1.bibx7" id="text.19"/>, and <xref ref-type="bibr" rid="bib1.bibx49" id="text.20"/> confirmed
the enhanced aerosol signal observed by <xref ref-type="bibr" rid="bib1.bibx47" id="text.21"/> since 2006. In
order to relate their observations to our in situ observations obtained
during StratoClim 2017, we calculate the theoretically expected backscatter
ratio based on our in situ aerosol particle size distributions. With
a focus on the ATAL region, we compare these results with observations from
the satellite-borne Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP)
<xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx47" id="paren.22"/>, the airborne backscatter probe MAS
(Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>), and the airborne lidar MAL (Sect. <xref ref-type="sec" rid="Ch1.S3.SS5"/>) during
StratoClim 2017.</p>
</sec>
<?pagebreak page15261?><sec id="Ch1.S2">
  <label>2</label><title>The StratoClim field campaigns in the Mediterranean (2016) and the Asian summer monsoon region (2017)</title>
      <p id="d1e607">The 2017 StratoClim (Stratospheric and upper tropospheric processes for better
climate predictions) field campaign took place in July and August in Kathmandu
(Nepal). The goal of StratoClim
(<uri>http://www.stratoclim.org</uri>, last access: 14 September 2021) was to
gain a better understanding of the key processes in the upper troposphere and
stratosphere of the ASM region in order to better assess their effects on
climate change and stratospheric trace gases including ozone. The StratoClim
project comprised a measurement campaign with aircraft-borne and balloon-borne
measurements (launched at tropical ground stations at different locations on
the Indian subcontinent), satellite-based observations, and process-related
regional and global model studies.  The choice of Kathmandu as a base for the
M55 <italic>Geophysica</italic> research aircraft <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx44" id="paren.23"/> allowed
measurements to be carried over Nepal, India, Bangladesh, and the Bay of Bengal
within the AMA. The M55 <italic>Geophysica</italic> was equipped with extensive instrumentation
to measure aerosol and cloud microphysics, aerosol chemistry, trace gases,
radiation, and other basic meteorological parameters.  The 2017 StratoClim
measurement campaign included eight mission flights outbound from Kathmandu
(Nepal) Tribhuvan International Airport (TIA) with a total flight time of
about 31 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). Out of the eight measurement flights,
three (KTM2, KTM4, and KTM5) took place exclusively in Nepalese
airspace. These flights were carried out along an axis parallel to the
Himalayan mountains over almost the entire east–west extension of Nepal. Three
further measurement flights (KTM3, KTM7, and KTM8) were over northeastern
India. These flight patterns allowed for the study of the horizontal structure of the
AMA over large parts of its north–south extension. <xref ref-type="bibr" rid="bib1.bibx8" id="text.24"/> showed
that the first half of the StratoClim 2017 campaign period was less affected
by regional convective activity compared with the second half, allowing one to
observe the ATAL under “dry” conditions (flights KTM1 to KTM4) and under
convective influence (flights KTM5 to KTM8).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e638">All flight paths of the mission flights conducted in Kathmandu (Nepal) as part of the StratoClim 2017 measurement campaign. GPS data from UCSE, © Google Earth 2018.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f01.png"/>

      </fig>

      <p id="d1e647">In this study, we also included measurements from the first phase of the
StratoClim project which took place in 2016 in Kalamata, Greece
(37<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 22<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). During this campaign phase, three flights
between 33–41<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 23–31<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E that reached up to
20 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude were conducted in the Mediterranean region (30 August,
1 and 6 September) using the M55 <italic>Geophysica</italic>. The geographical extent and the
location of these flights relative to the strong subtropical potential
vorticity (PV) gradient (<xref ref-type="bibr" rid="bib1.bibx55" id="altparen.25"/>) indicate that these flights took
place at the edge of the extratropics and the tropics. The results from these
(here referred to as) extratropical aerosol measurements are juxtaposed to the
tropical data from the ASM during StratoClim 2017.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><?xmltex \opttitle{Instrumentation on the M55 \textit{Geophysica} high-altitude research aircraft}?><title>Instrumentation on the M55 <italic>Geophysica</italic> high-altitude research aircraft</title>
      <p id="d1e713">The main instrument used for the measurements discussed in this study is the
UHSAS-A aerosol spectrometer (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>). Besides the UHSAS-A, in
situ and remote sensing instruments aboard the M55 <italic>Geophysica</italic> were included
for the analyses discussed in this study: the COPAS
(Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>) and NIXE-CAS (Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>) in situ particle detectors, the MAS backscatter
probe (Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>), the MAL airborne lidar (Sect. <xref ref-type="sec" rid="Ch1.S3.SS5"/>), and the COLD2 carbon monoxide instrument (Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>). The meteorological
parameters and the avionic data from the M55 <italic>Geophysica</italic> are provided by the
Unit for Connection with Scientific Equipment (UCSE;
<xref ref-type="bibr" rid="bib1.bibx43" id="altparen.26"/>). The potential temperature (<inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) is calculated
from the UCSE-based temperature and pressure data as defined by the World
Meteorological Organization (<xref ref-type="bibr" rid="bib1.bibx66" id="altparen.27"/>). For the given vertical
temperature and pressure distribution and for the <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> range covered
during StratoClim 2017 (up to <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">477</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>), the WMO-compliant <inline-formula><mml:math id="M37" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> values do not deviate by more than <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> from the results
according to the recently reassessed <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> calculation
(<xref ref-type="bibr" rid="bib1.bibx2" id="altparen.28"/>).</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>The UHSAS-A</title>
      <p id="d1e817">The ultra-high sensitivity aerosol spectrometer – airborne (UHSAS-A) is the
underwing version of the UHSAS (<xref ref-type="bibr" rid="bib1.bibx9" id="altparen.29"/>), a laser-based aerosol
spectrometer designed and manufactured by Droplet Measurement Technologies
(DMT, Boulder, Colorado, USA). It is designed for airborne operation at
altitudes of up to 12 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and is able to measure aerosol particle
number size distributions in the diameter range from 65 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to
1 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at a 1 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> sampling frequency.</p>
      <p id="d1e857">For operations at altitudes of up to 20 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> under tropical, stratospheric
ambient conditions aboard the M55 <italic>Geophysica</italic> research aircraft, two major
modifications of the commercially available version of the UHSAS-A were
necessary: integrating a pressure sensor measuring the air pressure in the
optical detection cell of the UHSAS-A and installing a new pump system
enabling the maintenance of constant system flows even under low stratospheric
air pressures. The stability of the sample, sheath, and purge flow was
tested in a low-pressure chamber before the StratoClim 2017 field
campaign. These low-pressure chamber tests were conducted under air pressure
values down to 45 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> within the UHSAS-A measurement cell. During the
operation aboard the M55 <italic>Geophysica</italic> the sample, sheath, and purge flow were
stable and constant throughout all StratoClim 2017 mission flights
(Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/>). Additionally, the new dual-headed membrane
pump system, installed in the UHSAS-A, minimizes the pulsation of the flow
within the UHSAS-A measurement cell compared with a single-headed membrane
pump. The sample flow measurement was characterized as a function of
pressure. For this purpose, the UHSAS-A was located in the low-pressure chamber
and connected through a chamber<?pagebreak page15262?> outlet via a high-precision needle valve to a
reference flow meter (Gilibrator-2, SENSIDYNE;
Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/>).</p>
      <p id="d1e887">Prior to the 2017 StratoClim field campaign, the UHSAS-A was calibrated with
polystyrene latex spheres (PSL, Thermo Fisher Scientific) with diameters of
102, 147, 296, and 799 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. During the calibration process the PSL
particles were selected by size with a differential mobility analyzer (DMA, TSI
3080 with TSI 3081) to remove doublets and contamination particles
(Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>). During the field campaign in Nepal, the calibration of the UHSAS-A was validated with the
same PSL calibration standards without the DMA before
every mission flight. The uncertainty of the
measured number concentration was determined to be lower than 10 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>
based on laboratory characterization (Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/>). This
is valid as long as the uncertainty due to counting statistics is also lower
than 10 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. For the 1 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> resolved measurements, this is the
case for ambient particle number concentrations larger than
100 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. At ambient particle number concentrations as low as
1 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the data should be averaged over time intervals of about
100 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> to gain sufficient counting statistics. For a typical number of
about 70 particle counts for a sampling interval of 1 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> in the ATAL
altitude range, this would result in an uncertainty of 12 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. However, due
to missing in-line temperature measurements and the wide ambient temperature
range during StratoClim (compared with the characterization in the laboratory),
the total uncertainty of the UHSAS-A ambient number concentration and particle
mixing ratio measurements was estimated to be up to 25 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>COPAS</title>
      <p id="d1e996">The COndensation PArticle counting System (COPAS) consists of two separate
units, each containing two individual condensation particle counters. Three of
the condensation particle counters detect aerosol particles with diameters
larger than 6, 10, and 15 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. Particles with diameters
<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> were aspirated with almost 100 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> efficiency and
transported through the aerosol lines to the detector. The fourth condensation
particle counter detects the aerosol particles with diameters larger than
10 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, which have previously passed through a heated tube section (at
270 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) of about 1 m length. Therefore, this channel
detects residual particle cores which are non-volatile at this
temperature. The COPAS has been characterized in <xref ref-type="bibr" rid="bib1.bibx59" id="text.30"/>, and the
application of the heated channel has been adopted for several studies
<xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx5 bib1.bibx60 bib1.bibx61 bib1.bibx62" id="paren.31"/>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>NIXE-CAS</title>
      <?pagebreak page15263?><p id="d1e1071">The New Ice eXpEriment – Cloud and
Aerosol Spectrometer with Detection of POLarization (NIXE-CAS-DPOL, here
referred to as NIXE-CAS) is part of the New Ice eXpEriment Cloud and Aerosol
Particle Spectrometer (NIXE-CAPS) underwing probe. Together with the Cloud
Imaging Probe greyscale (NIXE–CIPg), the NIXE-CAPS can measure the particle
size distribution for larger aerosol particles as well as cloud particles
within a diameter range from 0.61 to 937 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>
(<xref ref-type="bibr" rid="bib1.bibx14" id="altparen.32"/>). The overall measurement uncertainties of the particle
number concentrations and the particle sizing were estimated to be
approximately 20 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> by <xref ref-type="bibr" rid="bib1.bibx14" id="text.33"/>. More detailed descriptions
of the instrument performance and measuring principles are given by
<xref ref-type="bibr" rid="bib1.bibx1" id="text.34"/>. For this study, the lowest size bins of NIXE-CAS
(0.61 to 3 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) provide additional information extending beyond the
upper detection limit of the UHSAS-A, as such large aerosol particles
potentially influence the derived backscatter ratios.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>MAS</title>
      <p id="d1e1120">The multiwavelength aerosol scatterometer (MAS) is an elastic backscatter near-range lidar that operates at wavelengths of 532 or 1064 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. It
measures the backscatter and the depolarization from cloud and aerosol
particles like a remote sensing lidar but in situ at a range of 3 to
30 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the aircraft. It is capable of measuring at a time
resolution of 5 to 10 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, which translates into a horizontal resolution
of 1 to 2 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the M55 <italic>Geophysica</italic> cruising speed of about
170 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The detection limit of the aerosol backscatter
coefficient for a single 10 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> data point is <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Its technical details and an analysis of its
measurement performance aboard the M55 <italic>Geophysica</italic> are discussed in detail by
<xref ref-type="bibr" rid="bib1.bibx10" id="text.35"/>, <xref ref-type="bibr" rid="bib1.bibx11" id="text.36"/>, and <xref ref-type="bibr" rid="bib1.bibx34" id="text.37"/>.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>MAL</title>
      <p id="d1e1246">The miniature aerosol lidar (MAL) aboard the M55
<italic>Geophysica</italic> is a combination of two identical stand-alone airborne lidar
systems, one facing upwards and the other facing downwards. The two microjoule
backscatter-depolarization lidar systems operate at a wavelength of
532 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and are capable of measuring range-resolved backscatter and
depolarization profiles along the aircraft flight track, 2 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> above
and underneath the aircraft. For a 900 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> flight interval (at cruising
speed of about 170 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) probing an atmospheric layer at
17 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude from a distance of <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, the detection
limit of the aerosol backscatter coefficient is <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Previous applications of the MAL lidar are
discussed in publications by <xref ref-type="bibr" rid="bib1.bibx10" id="text.38"/>, <xref ref-type="bibr" rid="bib1.bibx33" id="text.39"/>, and
<xref ref-type="bibr" rid="bib1.bibx34" id="text.40"/>. For the RECONCILE campaign, a comparison study between
the MAL lidar aboard the M55 <italic>Geophysica</italic> and the satellite-borne CALIOP lidar
was conducted by <xref ref-type="bibr" rid="bib1.bibx32" id="text.41"/>.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>COLD2</title>
      <p id="d1e1385">During the
2017 StratoClim field campaign, the carbon monoxide (CO) mixing ratio was
measured in situ by the COLD2 (Carbon Oxide Laser Detector 2), the newly improved
version of the Cryogenically Operated Laser Diode spectrometer (COLD) aboard
the M55 <italic>Geophysica</italic>. The previous version COLD, based on a lead salt laser,
operating around liquid nitrogen temperature, has successfully been operated during
several tropospheric and stratospheric measurement campaigns since 2005, and
its functionality is described in detail by <xref ref-type="bibr" rid="bib1.bibx51" id="text.42"/>. The present
instrument is based on a room temperature quantum cascade laser and updated
electronics, with a substantial reduction in weight and dimensions, and no need for cryogenic fluids. The detection principle of the COLD instruments
is based on tunable diode laser spectroscopy. During the 2017 StratoClim
operation, the COLD2 instrument attained an in-flight sensitivity of 1 to
2 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> with a time resolution of 1 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> and an accuracy of
3 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> (<xref ref-type="bibr" rid="bib1.bibx52" id="altparen.43"/>). In this study, the CO measurements are
adopted as tracer for air masses affected by pollution or biomass burning.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>The vertical distribution of the aerosol particle mixing ratio within the AMA</title>
      <p id="d1e1431">The identification of transport and nucleation processes (i.e., new particle
formation – NPF) of aerosol particles in the UT–LS and their influence on the
radiation balance and chemistry of the atmosphere requires the knowledge of
the vertical distribution of the aerosol particle properties, such as particle
size and number concentration. Figure <xref ref-type="fig" rid="Ch1.F2"/>a shows the vertical
distribution of the particle mixing ratio (given in number of particles per milligram
of ambient air) as measured by the UHSAS-A during all research flights of the
StratoClim 2017 measurement campaign. The potential temperature (<inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) is
used as the vertical coordinate. To ease the recognition of the variability
between the individual flights, the measured particle mixing ratios
(1 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> temporal resolution) are marked using data points with different
colors. The median of the particle mixing ratio of all eight
measurement flights, calculated over 5 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature
intervals, is plotted in black together with the 25th and 75th
percentiles as horizontal bars for each median value. To avoid artifacts due to
fewer particles at high altitudes, the median profile and the 25th
and 75th percentiles were calculated based on the 1 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data
for <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and based on the resampled 0.1 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data
set (see red dots in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) for <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. For this,
we have to assume that the atmospheric conditions remain
quasi-homogeneous above 420 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> within a 10 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> interval (about 1.7 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> flight
distance). The number of 1 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data points included in each 5 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
potential temperature interval is indicated in Fig. <xref ref-type="fig" rid="Ch1.F2"/>b, where each
data point implies the measurement of a complete size distribution.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1563"><bold>(a)</bold> Vertical profile of the particle mixing ratio measured with the UHSAS-A (diameter range of 65 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–1 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) during the StratoClim 2017 measurement campaign, with the potential temperature as the vertical coordinate.
The 1 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> resolved data points of the individual measurement flights are marked by individually colored dots. The median profile of all flights is plotted in black in steps of 5 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> (each over a <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> interval) with the 25th and 75th percentiles, based on the 1 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data for <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and on the 0.1 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data for <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. The red vertical bar indicates the position (minimum, mean, and maximum <inline-formula><mml:math id="M112" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> level) of the lapse rate tropopause (LRT; calculated from the ECMWF reanalysis data) during the campaign period. <bold>(b)</bold> The number of 1 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data points included in each 5 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature interval. Each 1 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data point covers a particle size distribution from 65 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> particle diameter.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f02.png"/>

      </fig>

      <p id="d1e1737">From comparatively high particle mixing ratios (median of about
1500 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) close to the ground level (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">310</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>),
the particle mixing ratio decreases by an order of magnitude to about
150 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> up to a potential temperature of 330 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. As evident
from the 1 <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> resolved data, particle mixing ratios of up to
10 000 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are measured between 310 and 330 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. Up to the
<inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> level of 345 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the median particle mixing ratio remains at
about 150 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The variability in the measurement results
increases with <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>, which can be seen from the changes in the deviation
of the 25th and 75th percentiles with respect to the median.</p>
      <p id="d1e1865">From 345 to 350 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature, the median value increases to
a particle mixing ratio of 300 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> until it reaches a maximum of
700 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at about 365 to 370 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential
temperature. Between 350 and 370 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the 1 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data show a high
variability in the particle mixing ratio, both between the different flights
and when the flights are considered individually. Particle mixing ratios
between 6 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and over 10 000 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> were measured
here. This high variability is also visible in the percentiles. Apart from the
variability in the sampled air masses inherent in the dynamics of the AMA,
causes for such variability may also be the occurrence of NPF events,
convective outflow, and scavenging by the large persistent convective cloud
systems. In these cloud systems, many aerosol particles are activated to form
condensation nuclei of cloud droplets or get washed out by scavenging,
resulting in the observed very low aerosol particle mixing ratios
<xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx67" id="paren.44"/>. On the other hand, these strong convective systems
can lead to vertical transport of polluted air from the boundary layer, with
elevated particle mixing ratios, up to high altitudes. A possible cause for
the high particle mixing ratios in this altitude range, and sometimes up to
380 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature (flight KTM8), can also be NPF from
precursor gases. These precursor gases of natural and anthropogenic origin are
also subject to vertical transport by deep convective cloud systems reaching
the TTL and cause NPF under favorable thermodynamic conditions
<xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx28 bib1.bibx62 bib1.bibx63" id="paren.45"/>. The lapse rate
tropopause (LRT in Fig. <xref ref-type="fig" rid="Ch1.F2"/>a) during the 2017 campaign period was
located between 369 and 396 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> at a mean <inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> level of about
380 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> based on the European Centre for Medium-Range Weather Forecasts
(ECMWF) ERA-Interim reanalysis data. Above the tropopause region, starting at
about 380 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K<?pagebreak page15265?></mml:mi></mml:mrow></mml:math></inline-formula> potential temperature, the variability in the particle
mixing ratio decreases with increasing <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>.</p>
      <p id="d1e2012">Up to a potential temperature of 420 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the median of the particle
mixing ratio decreases to about 80 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, except for a local maximum
at a potential temperature of 390 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. From there, up to a potential
temperature of 440 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the particle mixing ratio decreases further to a
median of about 50 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Up to about 475 to 480 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the
highest <inline-formula><mml:math id="M150" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> levels reached during the StratoClim 2017 measurement
campaign, the median of the particle mixing ratio remains between 40 and
50 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Especially for potential temperatures larger than
420 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and low particle mixing ratios in the range from 10 to
100 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, it is noticeable that the 1 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data points form a
vertical and slightly inclined, discrete stripe pattern towards larger
particle mixing ratios. This is due to the poor counting statistics of the
single 1 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data points at these concentrations in combination with
the constantly regulated sample flow (of
50 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). However, due to the high number of 1 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>
data points (about 400 to 4000) available for each 5 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> interval, we were even able to resample the data set to a temporal
resolution of 0.1 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> in this <inline-formula><mml:math id="M160" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> range and then calculate robust median values with the
given <inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> resolution.</p>
      <p id="d1e2195">For relating these UHSAS-A results to the particle mixing ratios observed in
other tropical and subtropical UT–LS regions, two data sets from the tropics
as well as two sets from the extratropics were selected. These measurements were conducted with the COPAS instrument (described in Sect. 3.2) during the 2016 StratoClim field campaign in Greece (extratropics) and StratoClim 2017 in Nepal (tropics), and as airborne measurements within the tropics and the extratropics published in <xref ref-type="bibr" rid="bib1.bibx5" id="text.46"/>. One more data set from the tropics and the extratropics was digitized from Fig. 1 of the publication by
<xref ref-type="bibr" rid="bib1.bibx6" id="text.47"/>. Figure <xref ref-type="fig" rid="Ch1.F3"/>a shows the median profiles of the COPAS
measurement series from the 2016 and 2017 StratoClim campaigns together with
the median profile from the 2017 StratoClim UHSAS-A data set. In addition to
the tropical and extratropical profiles from <xref ref-type="bibr" rid="bib1.bibx6" id="text.48"/>,
Fig. <xref ref-type="fig" rid="Ch1.F3"/>b compares the UHSAS-A and COPAS measured profiles from
StratoClim 2017 (Nepal) with three further profiles measured by the COPAS
instrument within the tropics during the SCOUT-AMMA 2006 (West
Africa, red line), SCOUT-O3 2005 (northern Australia, pink dotted line), and
TROCCINOX 2005 (Brazil, dark green dotted line) field campaigns, discussed by
<xref ref-type="bibr" rid="bib1.bibx5" id="text.49"/> and <xref ref-type="bibr" rid="bib1.bibx21" id="text.50"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2220">Vertical profile of the particle mixing ratio with the potential temperature as the vertical coordinate.
Panel <bold>(a)</bold> shows the 1 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> resolved particle mixing ratios measured with the UHSAS-A (diameter range of 65 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–1 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) during StratoClim 2017 as gray dots and the 0.1 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> averaged particle mixing ratios as red dots. The median profile of all flights is plotted in black in steps of 5 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> (each over a <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> interval) with the 25th and 75th percentiles, based on the 1 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data for <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and on the 0.1 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data for <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. The median profile of the particle mixing ratio measured by the COPAS (diameter range of 10 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–1 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) during the StratoClim 2016 measurement campaign in the extratropics (Kalamata, Greece) is shown in blue, and the profile measured during StratoClim 2017 (Kathmandu, Nepal) in the tropics is shown in green. Panel <bold>(b)</bold> includes the median profile (with the 25th and 75th percentiles) of particle mixing ratios measured with the UHSAS-A during StratoClim 2017 (black line); the median profiles measured by COPAS for particle diameters larger than 10 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> during StratoClim 2017 (Nepal, green line), SCOUT-AMMA 2006 (West Africa, red line), and SCOUT-O3 2005 (Australia, red dotted line); and for particle diameters larger than 6 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> during TROCCINOX 2005 (Brazil, green dotted line), as depicted in <xref ref-type="bibr" rid="bib1.bibx5" id="text.51"/>. The median profiles, digitized from Fig. 1 in <xref ref-type="bibr" rid="bib1.bibx6" id="text.52"/>, for the tropics are plotted as an orange line, and those for the extratropics are plotted as a dashed purple line.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f03.png"/>

      </fig>

      <p id="d1e2394">In the region of the upper troposphere with potential temperatures between
about 350 and 370 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the median of the particle mixing ratio measured
by COPAS during StratoClim 2017 (green line) reaches a maximum of
6000 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. A maximum (particle mixing ratio of up to about
6500 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in this <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> range was also observed by
<xref ref-type="bibr" rid="bib1.bibx6" id="text.53"/> in the tropical central Pacific (orange line). The median of
the UHSAS-A measurement remains almost constant in this <inline-formula><mml:math id="M183" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> range with
significantly lower particle mixing ratio values of about
250 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. However, the variability in the particle mixing ratio
measured by the UHSAS-A is, as discussed above, very high in this <inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>
range. The COPAS measurements shown here cover the particle diameter range from about 10 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, the measurements of  <xref ref-type="bibr" rid="bib1.bibx6" id="text.54"/>
were from 8 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 3 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, whereas the UHSAS-A detects aerosol
particles in the diameter range from 65 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The
difference in the particle mixing ratios between the median values of the
COPAS and the UHSAS-A measurements of more than about 5500 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
shows that very small aerosol particles between 10 and 65 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> in
diameter dominate the aerosol total particle mixing ratios. This indicates
that especially the <inline-formula><mml:math id="M194" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> range between 350 and 370 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> is
influenced by NPF, which has also been shown by <xref ref-type="bibr" rid="bib1.bibx62" id="text.55"/> and
<xref ref-type="bibr" rid="bib1.bibx63" id="text.56"/>.</p>
      <p id="d1e2575">During the ASM, between about 370 and 415 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature, the
median profile of the UHSAS-A data (diameter of 65 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to
1 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) shows particle mixing ratios that are up to 2 times higher
than the median profile observed by <xref ref-type="bibr" rid="bib1.bibx6" id="text.57"/> (diameter of 8 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
to 3 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) in extratropical regions (see Fig. <xref ref-type="fig" rid="Ch1.F3"/>b). The
median profile of the COPAS measurement during the StratoClim 2016 measurement
campaign in Greece (blue line in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a) also shows lower particle
mixing ratios than the comparative measurement within the AMA region
(green). Compared with the extratropical COPAS measurements from StratoClim
2016, the UHSAS-A vertical profile shows mostly lower particle mixing
ratios. However, in contrast to the UHSAS-A, the measurements with the COPAS
also include very small aerosol particles starting from 10 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> in
diameter (or rather from 6 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> during TROCCINOX 2005). Thus, inside the
AMA, higher particle mixing ratios were observed for the size diameter range
from 65 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at altitudes between roughly 370 and
415 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> than during similar measurements in the extratropics which
include even much smaller particles (starting from 8 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>;
<xref ref-type="bibr" rid="bib1.bibx6" id="altparen.58"/>). This enhanced aerosol mixing ratio can be associated
with the ATAL discovered by <xref ref-type="bibr" rid="bib1.bibx46" id="text.59"/>, who observed the ATAL in
about the same altitude range with potential temperatures between 370 and
420 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> on the basis of satellite-borne lidar
measurements. Figure <xref ref-type="fig" rid="Ch1.F3"/>b shows that such a maximum between roughly
340 and 390 <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> was also observed in the mixing ratios of fine-mode
particles obtained from COPAS in other tropical locations (northern Australia,
West Africa, and Brazil; <xref ref-type="bibr" rid="bib1.bibx5" id="altparen.60"/>), albeit with significantly
lower absolute values than for the AMA region. The increase in the particle mixing
ratio for altitudes above the 420 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> level over West Africa was
explained by <xref ref-type="bibr" rid="bib1.bibx5" id="text.61"/> as the influence of the 2006 Soufrière Hills
eruption in the Caribbean (also discussed by <xref ref-type="bibr" rid="bib1.bibx40" id="altparen.62"/> and
<xref ref-type="bibr" rid="bib1.bibx46" id="altparen.63"/>). Figure <xref ref-type="fig" rid="Ch1.F3"/>a shows that a decrease in the mixing
ratios detected with the UHSAS-A and COPAS from about 170 to
80 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and from 470 to 170 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, can be
seen between the 410 and 420 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature levels. The
altitude levels of this decrease roughly coincide with the top of the 2017 AMA
circulation system (<xref ref-type="bibr" rid="bib1.bibx55" id="altparen.64"/>). Aloft,<?pagebreak page15266?> the particle mixing ratios are
mainly controlled by the large-scale isentropic transport in the lowermost
stratosphere and are less influenced by the AMA.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>The vertical profile of the aerosol particle size distribution within the Asian monsoon anticyclone</title>
      <p id="d1e2777">Characterizing the ATAL, described by <xref ref-type="bibr" rid="bib1.bibx47" id="text.65"/>, requires knowledge
about the vertical progression of the aerosol particle size
distribution. Within UT–LS altitudes, this is also important for the analysis
of NPF events, cloud formation, and transport processes as well as for the
calculation of the radiative balance and parameters like aerosol volume
concentration (<xref ref-type="bibr" rid="bib1.bibx28" id="altparen.66"/>) and aerosol surface area, available for
heterogeneous chemical conversion processes.</p>
      <p id="d1e2786"><?xmltex \hack{\newpage}?>The results shown here are the first measurements made with an UHSAS-A in the
tropical lower stratosphere (up to more than 20 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude over the
Indian subcontinent). The performance of the modified UHSAS-A (see
Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) has been thoroughly tested in the laboratory (as described in
Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>). To put the in situ measurements at altitude
into context with some of the other few available observations, a comparison
was made with other optical particle counter measurements of the aerosol
particle size distributions from the stratosphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2804">Aerosol particle size distribution combined from the measurements performed by the UHSAS-A, COPAS, and NIXE-CAS  (overlapping size range with the UHSAS-A) for the highest flight level reached during the flight KTM4 of the 2017 StratoClim campaign. The particle number concentrations are given for ambient conditions. The concentration of the size bin marked in red (6 to 65 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) is the difference between the total number concentrations measured by COPAS (diameter range of 6 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) and UHSAS-A (diameter range of 65 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to 1 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). Air pressure, temperature, altitude, and potential temperature according to the UCSE data set are also shown. For comparison, measurements of the balloon-borne measurement setup described by <xref ref-type="bibr" rid="bib1.bibx58" id="text.67"/> and <xref ref-type="bibr" rid="bib1.bibx12" id="text.68"/> for flights from Hyderabad (India) and from Laramie (USA) are shown in purple and green, respectively.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f04.png"/>

      </fig>

      <?pagebreak page15267?><p id="d1e2865">For this purpose, we chose two measurements conducted with a balloon-borne
setup which continues the series of in situ data described in
<xref ref-type="bibr" rid="bib1.bibx17" id="text.69"/>, <xref ref-type="bibr" rid="bib1.bibx58" id="text.70"/>, and <xref ref-type="bibr" rid="bib1.bibx18" id="text.71"/>. The comparison
measurements were from Hyderabad (India; 17.47<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 78.58<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)
in August 2015, also above the ATAL (<xref ref-type="bibr" rid="bib1.bibx49" id="altparen.72"/>) during the ASM
period, and from Laramie (USA; 41.32<inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
105.58<inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) in August 2013. The optical particle counters (LPC; laser
particle counter) used for the measurements from Hyderabad and Laramie were
operated with a particle diameter detection range from 0.18 to
32 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and 0.18 to 9 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. In both cases,
total particle concentration measurements were made with a condensation nuclei
counter (CNC) with a nominal detection diameter of 20 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>
(<xref ref-type="bibr" rid="bib1.bibx12" id="altparen.73"/>), flown in parallel with the LPCs. In Fig. <xref ref-type="fig" rid="Ch1.F4"/>, the resulting
particle size distributions are compared with the data from
the UHSAS-A obtained at the highest flight level (56 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> pressure
level) of the StratoClim mission flight KTM4. This size distribution was
combined with the COPAS data for an additional size bin between 6 and
65 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. The overlapping size bin of the NIXE-CAS measurements is shown
in blue and agrees well with UHSAS-A data within the uncertainties. In each
case, the balloon data set (500 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> vertical averaging interval) was
chosen for which the altitude range corresponded mostly to the flight level of
the M55 <italic>Geophysica</italic> during the UHSAS-A measurements.</p>
      <p id="d1e2978">For the comparison of these data sets, the higher size resolution of the
UHSAS-A and the difference in the detection range compared with the
balloon-borne instrumentation as well as the temporal and spatial distance
between these measurements must be taken into account. Additionally, the size
distribution measured during StratoClim 2017 is reported with the bin limits
resulting from the calibration with PSL particles (refractive index <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn></mml:mrow></mml:math></inline-formula>; see Appendices <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/> and <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>),
while the balloon-borne measurements were corrected for a refractive index of
1.45.</p>
      <?pagebreak page15268?><p id="d1e2997">The ambient total number concentration for the observation from StratoClim
2017 of <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is slightly lower than the
10 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> observed over Hyderabad but one-third larger than the
6 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> measured at Laramie. For a better quantitative comparison of
the size distributions, the integrated surface area (d<inline-formula><mml:math id="M234" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula>) and volume
concentrations (d<inline-formula><mml:math id="M235" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>) were calculated. For the measurements during StratoClim
2017, these values were calculated using the original bin sizes and the ones
recalibrated for a refractive index of <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula>. In both cases, for the
StratoClim 2017 observation, the values for <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>S</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (0.52 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>V</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.021</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(0.029 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula>) are smaller than the
measurements from Hyderabad and Laramie, with <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>S</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.79</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>V</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> observed at both locations. Compared with
the balloon-borne measurements from Hyderabad, these lower values for total
particle number, surface area, and volume concentration observed during
StratoClim 2017 also agree with a lower backscatter ratio (BR) signal observed
by CALIOP at this altitude during StratoClim 2017. During July and August 2015,
CALIOP observed a BR of about 1.07 at <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude within
<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M252" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude and <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M254" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude around Hyderabad
(<xref ref-type="bibr" rid="bib1.bibx49" id="altparen.74"/>), while the BR measured by CALIOP during StratoClim
2017 at 20 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> was below 1.05 (Sect. <xref ref-type="sec" rid="Ch1.S6.SS2"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3363">Vertical profile of <bold>(a)</bold> the aerosol particle number size distribution, <bold>(b)</bold> the aerosol particle surface area size distribution, and <bold>(c)</bold> the aerosol particle volume size distribution measured by the UHSAS-A during the 2017 StratoClim field campaign averaged over 1 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature intervals. The color-coded concentrations for each size bin are converted from ambient conditions to standard temperature and pressure (STP). The red vertical bar indicates the position (minimum, mean, and maximum <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> level) of the lapse rate tropopause (LRT; calculated from the reanalysis data) during the campaign period. The vertical region of the ATAL is indicated with black dashed lines.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f05.png"/>

      </fig>

      <p id="d1e3396">Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the vertical profile of the aerosol number size
distribution (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a), surface area size distribution (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b), and volume size
distribution (Fig. <xref ref-type="fig" rid="Ch1.F5"/>c) measured by the UHSAS-A averaged over the full StratoClim
2017 campaign period. The profiles were averaged with a vertical resolution of
1 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature. The concentrations for the distributions'
diameter bins are color coded and normalized according to the bin widths in
terms of d<inline-formula><mml:math id="M259" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M260" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> dlogDp, d<inline-formula><mml:math id="M261" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M262" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> dlogDp, and d<inline-formula><mml:math id="M263" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> dlogDp. To be able to compare the
measured concentrations of the number, surface area, and volume size
distributions over the full altitude range, the ambient concentrations have
been converted to standard temperature and pressure (STP; <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">273.15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1013</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>) using the ambient temperature
and pressure measurements reported by the UCSE.</p>
      <p id="d1e3506">Starting at a <inline-formula><mml:math id="M269" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> level of 320 <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the profile of the aerosol
particle number size distribution (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a) has a pronounced maximum
at the lower end of the UHSAS-A detection size range (diameter between 65 and
80 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) as well as enhanced number concentrations for the
large aerosol particles with diameters of up to 1 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Until about
326 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature, the size distribution's maximum is
located between particle diameters of 70 and 80 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> and the overall
number concentration decreases. This is especially the case for particles with
a diameter larger than 600 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. Up to potential temperatures of about
350 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the overall shape of the size distribution remains mostly
constant. In the <inline-formula><mml:math id="M277" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> range between 350 and 370 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the aerosol
size distribution is very variable. It also shows high number concentrations
for large particles up to 1 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in diameter, which are at the upper detection
size range of the UHSAS-A, and a very pronounced Aitken mode. Above
370 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature, the main mode of the size distribution
broadens and shifts its maximum to diameters of about 100 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. This
shift of the distributions main mode to larger particles is even more
prominent in the surface area (Fig. <xref ref-type="fig" rid="Ch1.F5"/>b) and volume size distribution
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>c). This increase in aerosol surface area can have a local
effect on heterogeneous chemical processes. Additionally, <xref ref-type="bibr" rid="bib1.bibx69" id="text.75"/>
reported, based on model simulations, that these particles spread throughout the
entire Northern hemispheric lower stratosphere, contribute
about 15 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> to the stratospheric column aerosol surface area in the
Northern Hemisphere annually, and set a lower limit of the ASM contribution to the
global stratospheric aerosol surface area of about 7 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. At about
395 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature, the concentrations, especially for larger
particles, begin to decrease. Above 420 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, until the maximum ceiling
during StratoClim 2017, the shape of the aerosol size distribution shows only
low variability. Altogether, the measured vertical profiles
of the aerosol size distributions for the 2017 AMA show the presence of an ATAL feature between
approximately 370 and 420 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> with the peak of the size distributions in
the 80 to 300 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> diameter range.</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Backscatter properties of the ATAL  –  results from in situ and remote sensing instruments</title>
      <p id="d1e3683">The ATAL was discovered as an enhancement of the newly reanalyzed and
cloud-filtered backscatter ratio (BR) signal from the CALIOP lidar aboard the
Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observations (CALIPSO)
satellite (<xref ref-type="bibr" rid="bib1.bibx46" id="altparen.76"/>;
<xref ref-type="bibr" rid="bib1.bibx47" id="altparen.77"/>). <xref ref-type="bibr" rid="bib1.bibx48" id="text.78"/>, <xref ref-type="bibr" rid="bib1.bibx69" id="text.79"/>, <xref ref-type="bibr" rid="bib1.bibx7" id="text.80"/>, and
<xref ref-type="bibr" rid="bib1.bibx49" id="text.81"/> confirmed this enhancement using balloon-borne in situ
backscatter and aerosol particle number concentration measurements. To undertake a comparison
with these observations, we calculated the BR based on the in situ
aerosol particle size distributions from the StratoClim 2017 campaign and
compared it with the cloud-filtered CALIOP, MAS (Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>), and MAL
(Sect. <xref ref-type="sec" rid="Ch1.S3.SS5"/>) measurements for a mostly overlapping time period in 2017.</p>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><title>Method</title>
      <p id="d1e3716">For this analysis, all eight measurement flights from the StratoClim 2017 campaign
are divided into segments of 100 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. Segments in which cloud particles
have been detected by the NIXE-CAS are removed from the data set to be
consistent with the cloud-filtered CALIOP, MAS, and MAL data sets. To ensure a
high vertical resolution, flight segments with ascending or descending rates
which result in a potential temperature rise or drop of more than 5 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
per 100 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of flight time are also removed.</p>
      <p id="d1e3743">For each remaining 100 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> interval, an averaged aerosol size
distribution was calculated from the UHSAS-A measurements. The size range of
these size distributions is extended from 65 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–1 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to
10 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–3 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> using measurements conducted by the COPAS
(Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>) and NIXE-CAS (Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>) instruments.</p>
      <p id="d1e3795">One size bin from 10 to 65 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> in diameter was calculated by
subtraction of the UHSAS-A measured total number concentration (particle
diameter range of 65 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>–1 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) from the particle number
concentration measured by the COPAS <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> channel (particle diameter
range of 10 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> to about 1 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) described in
Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>. The measurements conducted by the NIXE-CAS instrument
(see Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>) extend the size distribution for large aerosol
particles by one size bin with diameters of up to 3 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. This way, as
composite, the largest possible aerosol particle diameter range is covered
with measurements that can be achieved from all of the <italic>Geophysica</italic>
instruments. One example of this combined 100 <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> averaged aerosol size
distributions is shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3885">Aerosol particle size distribution measured within the ATAL during flight KTM5 of the 2017 StratoClim measurement campaign. Combined out of the measurements conducted by the COPAS (red size bin), the UHSAS-A (black size bins), and the NIXE-CAS (blue size bins).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f06.png"/>

        </fig>

      <?pagebreak page15269?><p id="d1e3894">The backscatter ratio (BR) is calculated using Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) with the
aerosol backscatter coefficient <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>ap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the molecular
backscatter coefficient <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>:

                <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M306" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>BR</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>ap</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          For every 100 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> averaged aerosol size distribution, the aerosol
backscatter coefficient <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>ap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is calculated based on the
Mie theory, as comprehensively described in <xref ref-type="bibr" rid="bib1.bibx11" id="text.82"/>. Accounting for
the aerosol chemical composition (<xref ref-type="bibr" rid="bib1.bibx28" id="altparen.83"/>, observed the presence
of ammonium nitrate particles), these calculations use a refractive index of
1.5 for the size distributions measured within the ATAL altitude region up to
420 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature. At <inline-formula><mml:math id="M310" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> levels higher than
420 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, a refractive index of 1.45 is used, which better reflects the
stratospheric aerosol properties. The bin limits of the UHSAS-A measured size
distribution were recalibrated for the respective refractive index prior to
the calculation of the backscatter coefficient (see
Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/> and Table <xref ref-type="table" rid="App1.Ch1.S1.T1"/>). A sensitivity
study (Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>) showed that the variation in the
calculated aerosol backscatter coefficient is below 50 <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for
diameter shifts of the size distribution of <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> or for a
variation in the refractive index of <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>. Additionally, black carbon
particles might alter the result of the backscatter calculations, due to their
complex refractive index and the uncertainties in their size representation
in the particle size distribution measured by the UHSAS-A (see
Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>). Even though the presence of black carbon
particles in the ATAL altitudes is enhanced during the ASM season, its
contribution to the overall aerosol particle mass concentration (for particle
diameters <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) is reported to only be about 1.3 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>
at the 100 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> pressure level (<xref ref-type="bibr" rid="bib1.bibx25" id="altparen.84"/>). Moreover, the effect of
the particles' hygroscopicity on the measured particle sizes and the resulting
calculated backscatter compared with the remotely sensed backscatter, which
is measured at ambient relative humidity, can not be ruled out.</p>
      <?pagebreak page15270?><p id="d1e4091">To be able to compute the backscatter ratio, the molecular backscatter
coefficient <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for each averaging interval is
calculated. Based on <xref ref-type="bibr" rid="bib1.bibx13" id="text.85"/>, the simplified method from
<xref ref-type="bibr" rid="bib1.bibx11" id="text.86"/> is used along with the temperature and pressure measured
by the UCSE system aboard the M55 <italic>Geophysica</italic>. To be able to compare the
resulting BR values with the BR measured by CALIOP, MAS, and MAL,
<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>ap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>mol</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are calculated using a wavelength
of 532 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><title>Comparison between backscatter ratios obtained from in situ and remote sensing data</title>
      <p id="d1e4153">For a direct comparison between the in situ aerosol size-distribution-based
BR and the BR measured by the satellite-borne CALIOP lidar, a CALIOP data set
is needed that was measured within a comparable time period and in about the same
geographical region as the StratoClim 2017 flight missions. Over the time
period from 5 to 31 August 2017 (no CALIOP data are available in this region
for the earlier part of the campaign period), a vertical profile of the BR at a
wavelength of 532 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> measured by CALIOP was averaged between 15–45<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 70–100<inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (311 100 profiles included). This temporal and horizontal averaging is needed to increase the
signal-to-noise ratio. To be able to detect the ATAL, the CALIOP data set was
reanalyzed based on the CALIOP Level 1 V4.10 data set and calibrated
between an altitude of 36 and 39 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, as previously described by
<xref ref-type="bibr" rid="bib1.bibx46" id="text.87"/>. During this data processing, backscattering due to ice
cloud particles was removed by applying a filter for the volume depolarization
ratio within a pixel greater than 5 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx48" id="paren.88"/>. The vertical profile was then averaged with a
vertical resolution of 200 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Additionally, vertical profiles of the
BR at a wavelength of 532 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> measured by the MAS and MAL instruments
aboard the M55 <italic>Geophysica</italic> were averaged over all StratoClim 2017 flight
missions. As for the CALIOP data set, a cloud filter was applied to the MAS
and MAL data sets. This filter excludes data points with a depolarization ratio
greater than 5 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and BR values greater than 1.3 for the MAS and
greater than 1.4 for the MAL.</p>
      <p id="d1e4232">Figure <xref ref-type="fig" rid="Ch1.F7"/> shows the averaged CALIOP BR profile (represented by the red
line) in an altitude range from 11 to 21 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The BR calculated based on
the in situ measured aerosol size distributions for the 100 <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> time
segments (described in Sect. <xref ref-type="sec" rid="Ch1.S6.SS1"/>) is shown as blue dots. The blue
line is the averaged profile for the size-distribution-based BR with a
vertical averaging interval of 500 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and with the standard deviation
represented by blue horizontal bars (shown for the MAS, MAL, and CALIOP BR
profiles in Fig. <xref ref-type="fig" rid="App1.Ch1.S3.F16"/>). The mean BR profiles measured by the MAS and
the MAL are given as green and orange lines, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e4268">Vertical profile of the backscatter ratio at a 532 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelength, calculated based on the aerosol size distributions measured during the 2017 StratoClim measurement campaign (blue dots, 100 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> averages), showing the mean profile (blue line) and the standard deviation (blue bars). The mean profiles of the backscatter ratio at a 532 <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelength measured by CALIOP, MAS, and MAL are plotted in red, green, and orange, respectively.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f07.png"/>

        </fig>

      <p id="d1e4302">At altitudes lower than 13.5 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the size-distribution-based BR
profile shows smaller values than the CALIOP, MAS, and MAL profiles. This can
be explained by the frequent appearance of clouds in combination with the fast
descent and ascent rates of the M55 <italic>Geophysica</italic> in this altitude
range. Considering the selection criteria for the 100 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> time segments
described in Sect. <xref ref-type="sec" rid="Ch1.S6.SS1"/>, this leads to only a few valid data points
in this altitude range. Additionally, the flight segments that are not
directly associated with clouds could have been affected previously by
scavenging of aerosol particles due to in-cloud processes
<xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx67" id="paren.89"/> that have occurred prior to the observations. The
local maximum in the BR profile measured by the MAL in this altitude range
might also be considered as an artifact from cloud particles that could not be
removed from the signal.</p>
      <p id="d1e4329">Between 13.5 and about 19 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, the BR for the 100 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>
flight segments scatters around the CALIOP, MAS, and MAL mean profiles with
values between 1.01 and over 1.17. Above 14 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, its mean BR
(blue line) increases from 1.06 parallel with the CALIOP profile (red line) to
the maximum of the mean BR of more than 1.11 at altitudes between 17 and
17.5 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. Here, CALIOP, MAS, and MAL also observed the BR maximum. The
aerosol size distribution shown in Fig. <xref ref-type="fig" rid="Ch1.F6"/> was measured in this
altitude range at about 17.5 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and a potential temperature level of
385 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. This 100 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> averaged size distribution leads to a
calculated BR of about<?pagebreak page15271?> 1.14. Above this maximum, the BR mean profile from the
size-distribution-based calculations and the CALIOP measurements decrease
mostly in parallel until 19 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. Between 19 and 21 <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>
altitude, the BR of both profiles begins to increase again. Here, the profiles
measured by the MAS and the MAL instruments show the same behavior with a
trend toward higher BR values. This increase in BR is consistent with the lower
part of the Junge layer <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx48" id="paren.90"/>. Within the overall
picture and considering the standard deviation (blue bars), all
four independent methods largely agree with one another. This confirms the ATAL
as a layer of enhanced BR, while the altitude range of this observed aerosol
layer also agrees very well with the ATAL altitudes between about 14 and
18 <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, observed by
<xref ref-type="bibr" rid="bib1.bibx46" id="text.91"/>, <xref ref-type="bibr" rid="bib1.bibx47" id="text.92"/>, <xref ref-type="bibr" rid="bib1.bibx48" id="text.93"/>, <xref ref-type="bibr" rid="bib1.bibx7" id="text.94"/>, and
<xref ref-type="bibr" rid="bib1.bibx49" id="text.95"/>. The regional total sky radiative forcing caused by the
ATAL has been reported (<xref ref-type="bibr" rid="bib1.bibx48" id="altparen.96"/>) to be around <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
since the late 1990s, which corresponds to one-third of the reported total
radiative forcing (0.3 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from the global carbon dioxide
increase during the same time period (<xref ref-type="bibr" rid="bib1.bibx49" id="altparen.97"/>).</p>
</sec>
<sec id="Ch1.S6.SS3">
  <label>6.3</label><title>ATAL variability during the StratoClim 2017 campaign period</title>
      <p id="d1e4493"><xref ref-type="bibr" rid="bib1.bibx8" id="text.98"/> characterized the StratoClim 2017 campaign period as less
convectively active than typically expected during that time of the ASM. They
also showed that the second half of the campaign period was more influenced by
convection compared with the first half. For this reason, we take a closer look
at the differences in BR within the ATAL altitude range during the first and
the second half of the campaign period. The backscattering of the size-distribution-based BR values shows the highly variable nature of the ATAL in
time and space. This high variability in the ATAL, even on a day-to-day basis,
was also reported by <xref ref-type="bibr" rid="bib1.bibx26" id="text.99"/> from balloon-borne backscatter
measurements conducted during the ASM season 2016. In Fig. <xref ref-type="fig" rid="Ch1.F8"/>, the
mean profiles of the BR derived from the in situ measured size distributions
over the full campaign period (blue line), the first four flight missions (green dashed line),
and the last four flight missions (orange dashed line) of StratoClim 2017 are shown. The mean profile is only displayed as a line if the
corresponding altitude interval includes more than one data point (each
resulting from a 100 <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> averaged size distribution). The red line in
Fig. <xref ref-type="fig" rid="Ch1.F8"/> represents the CALIOP BR profile for the same time period as
discussed in the previous section (5 to 31 August 2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e4515">Vertical mean profile of the backscatter ratio at a 532 <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelength, calculated based on the aerosol size distributions measured during the 2017 StratoClim measurement campaign with the standard deviation shown as horizontal bars. The full period of the 2017 StratoClim field campaign is shown in blue, the first half of the campaign period is shown in green (flights KTM1 to KTM4), and the second half of the campaign period is shown in orange (flights KTM5 to KTM8). The red line represents the vertical mean BR profile measured by CALIOP between 5 and 31 August 2017.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f08.png"/>

        </fig>

      <p id="d1e4532"><?xmltex \hack{\newpage}?>During the first four mission flights up to 17 <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the mean profile of
the aerosol size-distribution-based BR stays at values between about 1.07 and
1.08, except for a peak between 14 and 15 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. The BR values
of the individual 100 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> segments still scatter widely in this
altitude range, leaving the CALIOP mean profile for the time period from 5 to
31 August 2017 well in the range of the standard deviation (green
bars). Between 17 and 17.5 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the mean profile maximum for the first
half of the campaign period matches the maximum of the CALIOP measured BR of
about 1.09 to 1.1.</p>
      <p id="d1e4569">Due to the more frequent occurrence of convection during the second half of
the campaign period, there are fewer cloud-free flight segments at altitudes
of up to <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. However, above that altitude, the BR calculated based
on the in situ measured aerosol size distributions are significantly higher
compared with the first four campaign mission flights. Between 16 and
17.5 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, its mean profile exceeds the CALIOP BR profile and
has a pronounced maximum layer between 17 and 17.5 <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. Here,
the size-distribution-based BR mean profile has a maximum BR between 1.16 and
1.17 compared with about 1.09 of the<?pagebreak page15272?> CALIOP mean profile (5 to 31 August
2017). In summary, the direct intercomparison between long time averages of
the satellite data and small sets of individual research flights is generally
a difficult task. For the ATAL in the ASM season of 2017, however, the
juxtaposition of the respective measurements shows that the properties derived
from the in situ particle size distributions can be broadly
reconciled with the satellite observations.</p>
</sec>
<sec id="Ch1.S6.SS4">
  <label>6.4</label><title>The relation of the ATAL to CO and the AMA-centered equivalent latitude</title>
      <p id="d1e4615">The previous section shows that the intensity of the convective influence has
an impact on the characteristics of the ATAL, here discussed in terms of the
BR. A commonly used tracer for convective influences on the UT–LS region is an
enhancement of the CO mixing ratio <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx36" id="paren.100"/>. Here, one has to
consider the different timescales of the transport and dilution processes of
CO within the UT–LS (tens of days) and aerosol-related processes like
coagulation and cloud scavenging that can have a significant impact within
hours. Furthermore, between June 2006 and August 2008, <xref ref-type="bibr" rid="bib1.bibx48" id="text.101"/>
observed a seasonal dependence between the enhanced BR (measured by CALIOP
between 14 and 18 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude) and an enhancement of the mean CO
mixing ratio near the 100 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> pressure level, as detected by the
satellite-borne Microwave Limb Sounder (MLS, V2.21). They found that the aerosol peak in August lagged the CO peak by
about 1 month during
the investigated time period.</p>
      <p id="d1e4640">Figure <xref ref-type="fig" rid="Ch1.F9"/>a–c show the relationship between the in situ size-distribution-based aerosol BR (100 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> flight segments) and the
averaged CO mixing ratio measured by the COLD2 instrument (described in
Sect. <xref ref-type="sec" rid="Ch1.S3.SS6"/>) over the full StratoClim 2017 campaign period, and its first half
and second half, respectively. For both parts of the campaign, values of the
BR larger than 1.05 are generally associated with CO mixing ratios larger than
40 <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>. The flight segments with CO mixing ratios lower than
40 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> have all been associated with potential temperature levels
larger than 420 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> (color coded), which are close to or above the top of the AMA-caused
confinement at about 420 to 440 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
(<xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx55" id="altparen.102"/>). However, especially Fig. <xref ref-type="fig" rid="Ch1.F9"/>c
shows that the highest CO mixing ratios are not necessarily correlated with a
high BR. The highest values for the BR (larger than 1.14) encountered during
the first four flights are accompanied by CO mixing ratios between 70 and
90 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> and for the last four flights in the range of 50 to
70 <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e4711">Scatterplots of the size-distribution-based BR with the CO mixing ratio <bold>(a–c)</bold> and the AMA-centered equivalent latitude (EQLAT) <bold>(d–f)</bold>. Panels <bold>(a)</bold> and <bold>(d)</bold> represent the full period of the 2017 StratoClim field campaign, panels <bold>(b)</bold> and <bold>(e)</bold> represent the first half of the campaign period (flights KTM1 to KTM4), and panels <bold>(c)</bold> and <bold>(f)</bold> represent the second half of the campaign period (flights KTM5 to KTM8). The potential temperature is color coded.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f09.png"/>

        </fig>

      <p id="d1e4746">Besides the strong convective vertical transport associated with the ASM,
another feature of the ATAL should be considered, namely the confinement of
its air masses within the AMA. This confinement can lead to an accumulation of
aerosol particles and trace gases within the AMA region. One measure to relate
the geographical position of our soundings to the position of the AMA core and
its edge is the AMA-centered equivalent latitude (EQLAT). The center of the
AMA is defined by the lowest values of the potential vorticity (PV) on the
380 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature level. An equivalent latitude for which
90<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N corresponds to the center of the AMA was projected for a closed
PV contour according to <xref ref-type="bibr" rid="bib1.bibx39" id="text.103"/>. It has to be noted that the
definition of the EQLAT is only valid for a layer of about <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
around the 380 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> isentrope, as PV contours in the
AMA region are frequently not closed outside of this range. Furthermore, <xref ref-type="bibr" rid="bib1.bibx39" id="text.104"/> found
that the edge of the confinement caused by the AMA can be determined from a
local maximum in the gradient of PV along the 380 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> isentrope and is
on average located at around 65<inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> EQLAT. The EQLAT is calculated based
on the ECMWF ERA-Interim reanalysis.</p>
      <p id="d1e4816">Figure <xref ref-type="fig" rid="Ch1.F9"/>d–f show the relationship between the EQLAT and the BR (full
campaign period, first half, and second half, respectively). While there is no
direct correlation between the BR and the EQLAT, high values of BR (larger
than 1.1) only occur for flight segments with an EQLAT larger than 63<inline-formula><mml:math id="M379" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, for
the first half of the campaign period (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e). During the second
half of the StratoClim 2017 campaign, BR values larger than 1.1 were only detected
during flight segments with an EQLAT larger than 66<inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. This matches well with
the edge of the AMA confinement at about 65<inline-formula><mml:math id="M381" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> EQLAT described by
<xref ref-type="bibr" rid="bib1.bibx39" id="text.105"/>. At high <inline-formula><mml:math id="M382" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> levels above about 420 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
(blueish colors), the BR values are always lower than 1.05. This shows that
typically elevated ATAL BR values during the ASM could only be observed
horizontally and vertically within the confinement of the AMA.</p>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e4878">During the 2017 StratoClim field mission in the Asian summer monsoon (ASM)
season, aerosol measurements were performed over Central Asia up to
20 <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude aboard the M55 <italic>Geophysica</italic> research aircraft  inside and
above the Asian monsoon anticyclone (AMA) and the Asian tropopause aerosol
layer (ATAL). Here, for the first time, submicrometer-sized aerosol size
distributions were measured in situ down to a 65 <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> particle diameter by
a modified UHSAS-A optical particle counter. These measurements were conducted
in conjunction with condensation particle counters (COPAS) and two near-range
remote sensing instruments, MAS and MAL.</p>
      <?pagebreak page15273?><p id="d1e4900">The ATAL BR observations by CALIOP during the StratoClim 2017 campaign period,
as discussed in studies such as <xref ref-type="bibr" rid="bib1.bibx46" id="text.106"/>, <xref ref-type="bibr" rid="bib1.bibx47" id="text.107"/>, and
<xref ref-type="bibr" rid="bib1.bibx49" id="text.108"/> for previous and recent ASM seasons, were validated by
calculating the BR based on the in situ aerosol size distributions
as well as the BR directly measured by the MAS and MAL instruments. These four independent methods largely agree with one another and can confirm
the ATAL as a layer of enhanced BR within an altitude range from 15 to
18.5 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The maximum of the ATAL BR signal was observed at
17.5 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, consistently by all four methods. The importance of
the ATAL for the Earth's radiative budget was already underlined by
<xref ref-type="bibr" rid="bib1.bibx48" id="text.109"/>, who reported that the regional total sky radiative forcing caused
by the ATAL has been around <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> since the late
1990s. Furthermore, the in situ measurements show that the ATAL is highly
variable in time and space and is not a closed, persistent layer. While there
is a seasonal correlation between the CO mixing ratio and the ATAL
(<xref ref-type="bibr" rid="bib1.bibx48" id="altparen.110"/>), no direct correlation on the smaller scale, between
co-located in situ measurements of the CO mixing ratio and the size-distribution-based BR, could be found. However, values of BR that are typically
elevated within the ATAL could only be observed for CO mixing ratios larger
than 40 to 50 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>. This is also consistent with the observations that enhanced BR values could only be
observed within the confinement of the AMA at an equivalent latitude (EQLAT)
larger than 63<inline-formula><mml:math id="M391" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and below its top of confinement (at about
420 <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature) during the StratoClim 2017 campaign period. This regional limitation of the ATAL
with respect to the dynamics of the AMA is in good agreement with the
horizontal (<xref ref-type="bibr" rid="bib1.bibx39" id="altparen.111"/>) and vertical (<xref ref-type="bibr" rid="bib1.bibx55" id="altparen.112"/>)
limitations of the AMA-caused confinement.</p>
      <p id="d1e4994">From an experimental perspective, the ATAL is a fairly elusive, highly
variable layer situated between approximately 370 and 420 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential
temperature or about 15 to 18.5 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. Its lower part is close
to – if not still inside – the highest region of convective outflows, whereas its
upper part can be found at tropopause levels (between 369 and 396 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
during StratoClim 2017) or slightly above. Thus, the aerosol of the upper ATAL
part is subject to very slow vertical ascent (with rates of about 1 <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>
potential temperature per day, as reported by <xref ref-type="bibr" rid="bib1.bibx54" id="altparen.113"/>, and <xref ref-type="bibr" rid="bib1.bibx55" id="altparen.114"/>). At
the same time, the lower part of the ATAL can be affected by rapid turbulent
mixing which provides precursor gases and aerosols originating from the lower
troposphere. In this complex dynamical setting, microphysical processes<?pagebreak page15274?> like
new particle formation (NPF), aging by coagulation and condensational growth,
and removal by scavenging act on the aerosol.  The vertical profile of the
measured aerosol particle size distributions in combination with the vertical
profiles of the particle mixing ratios from the UHSAS-A and COPAS show a
pronounced Aitken mode between the 350 and 370 <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature
levels, i.e., beneath the lower edge of the ATAL. With increasing altitude, the
aerosol size distribution's main mode shifts towards the accumulation
mode. This goes along with an increase in aerosol surface area, which might
have a local effect on heterogeneous chemical processes and additionally
contributes to the global stratospheric aerosol surface area
(<xref ref-type="bibr" rid="bib1.bibx69" id="altparen.115"/>).</p>
      <p id="d1e5047">Using simple box model simulations (adopting
the SOCOL  – SOlar Climate Ozone Links; <xref ref-type="bibr" rid="bib1.bibx45" id="altparen.116"/> – coagulation
subroutines), <xref ref-type="bibr" rid="bib1.bibx62" id="text.117"/> showed that the freshly nucleated aerosol particles (as
observed from COPAS) coagulate onto the background aerosol (as observed by the
UHSAS-A) within a few hours. The short periods of time available to detect recent NPF events and the still frequent NPF encounters during StratoClim 2017 (detected by COPAS) indicate the prevalence of such events within the ASM region
(<xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx63" id="altparen.118"/>). Still, these simulations suggests that the
coagulation of freshly nucleated aerosol particles alone cannot cause the
lower part of the aerosol size distribution as measured by the UHSAS-A inside
the ATAL altitude range. Furthermore, the question of where the particles
larger than roughly 500 to 800 <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> in the UHSAS-A size distributions
come from remains open. Condensational growth could be a major process, although the nature
and amounts of the various possible condensable gases are not yet well
known. Furthermore, the upward transport of already existing larger aerosol
particles (<xref ref-type="bibr" rid="bib1.bibx70" id="altparen.119"/>) can contribute to the overall size
distributions as observed by the UHSAS-A. Because of this complex interaction
between dynamical and microphysical processes further, much more advanced
model simulations are needed to identify and quantify the importance of the
various involved processes. Our data are
well suited to support such model simulations, as the UHSAS-A particle size distributions extend down to
65 <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> while COPAS measured simultaneously with three different lower
detection limits from 6 up to 15 <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title>UHSAS-A characterization</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Pump test and sample flow calibration</title>
      <p id="d1e5105">The UHSAS-A discussed in this study performed its first in-flight measurements
aboard the M55 <italic>Geophysica</italic> research aircraft during the StratoClim 2016 field
campaign in Kalamata (Greece). These measurement flights as well as tests in a
low-pressure chamber have shown that the UHSAS-A sample flow, purge flow,
sheath flow, and the ratio between sheath flow and sample flow are not
stable at pressure levels lower than <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (see
Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F10"/>a), when using the standard pump system. For this reason, a
new pump system was integrated into the UHSAS-A. The new setup was tested and
characterized in a custom-built low-pressure chamber at pressure levels as
low as <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. Figure <xref ref-type="fig" rid="App1.Ch1.S1.F10"/>b and c show that all
internal flows of the UHSAS-A were stable during the low-pressure chamber test
and during the StratoClim 2017 mission flights (flight KTM4 is shown as an example
case with some of the lowest pressure levels reached during the campaign) for
pressure levels as low as 45 or 55 <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The minor but
visible variability in the ratio between the sample and the sheath flow
(Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F10"/>c), within the region of the cold point tropopause, could
only be related to a high-frequency variability (up to <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M407" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) in
the aircraft's angle of attack. This variability is not expected to have a
significant influence on the UHSAS-A measurement performance.</p>

      <?xmltex \floatpos{p}?><fig id="App1.Ch1.S1.F10" specific-use="star"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e5182">Time series of the UHSAS-A internal flow measurements (sample flow, sheath flow, and purge flow), the ratio between sheath and sample flow, and the air pressure during low-pressure chamber tests with the original pump system of the UHSAS-A <bold>(a)</bold> and with the new integrated pump system <bold>(b)</bold>. Panel <bold>(c)</bold> shows the time series for the StratoClim 2017 flight KTM4 (with the new pump system), also including the ambient static air temperature.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f10.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F11"><?xmltex \currentcnt{A2}?><?xmltex \def\figurename{Figure}?><label>Figure A2</label><caption><p id="d1e5202">Sample flow characterization measurements as a function of pressure.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F12"><?xmltex \currentcnt{A3}?><?xmltex \def\figurename{Figure}?><label>Figure A3</label><caption><p id="d1e5214">Characterization measurements for the particle sizing of the UHSAS-A: main particle mode diameter of the size distribution measured by the UHSAS-A (using all 99 available size bins) compared with the particle diameter selected by a DMA for different particle species. The gray bars represent the bin mapping used after post-processing.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f12.png"/>

        </fig>

      <p id="d1e5223">Figure <xref ref-type="fig" rid="App1.Ch1.S1.F11"/> shows the results of the sample flow characterization
measurements as a function of pressure. For these measurements, the UHSAS-A was
located in the low-pressure chamber and directly connected through a chamber
outlet via a high-precision needle valve with a reference flow meter
(Gilibrator-2, SENSIDYNE) located outside of the
chamber. For each calibration point, the needle valve was closed a little
more. After the sample flow (regulated to 50 <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) of the
UHSAS-A (<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>UHSAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and the pressure measured at the UHSAS-A optical
measurement cell were stable, the flow measurements with the Gilibrator were
done for the respective calibration point. The results of these reference
measurements were converted to the pressure conditions measured by the UHSAS-A
inside the low-pressure chamber (<inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>Gilibrator</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), making the
idealized assumption that the temperature of the air inside the UHSAS-A flow
system was equal to the temperature in the laboratory. The ratio <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>Q</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mtext>Gilibrator</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mtext>UHSAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of the pressure
measured in the UHSAS-A optical measurement cell is shown in
Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>. The vertical bars represent the results of the error
propagation calculated on the basis of the individual uncertainties of the
measurements from the flow and pressure meters.

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M412" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>Q</mml:mi><mml:mtext>UHSAS_cali</mml:mtext></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mtext>UHSAS</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.S1.E2"><mml:mtd><mml:mtext>A1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>⋅</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mtext>0</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>exp</mml:mtext><mml:mfenced close="}" open="{"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mtext>ln</mml:mtext><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>UHSAS</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow><mml:mtext>width</mml:mtext></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The calculated lognormal fit function (coefficients reported in
Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>) and Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E2"/>) allow for a
calibration of the sample flow measurement (<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>UHSAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as a function
of pressure (<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>UHSAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mtext>UHSAS_cali</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Particle sizing</title>
      <?pagebreak page15276?><p id="d1e5425">As the UHSAS-A measures the particle size based on the intensity of the
laser light scattered by the individual aerosol particles, the particle size
determination is also dependent on the species of the aerosol particle. As
described in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>, the calibration of the UHSAS-A was performed
with PSL particle standards that were also selected according to size by a DMA (TSI
3080 with TSI 3081), whereas we want to measure complex mixtures of different
aerosol particle species in the free atmosphere. In order to confirm the
previous size calibration with PSL particle standards, measurements with
PSL particles of different sizes were carried out. Subsequently, as already
shown by <xref ref-type="bibr" rid="bib1.bibx9" id="text.120"/> for the laboratory version of the UHSAS,
measurements with sodium chloride, ammonium nitrate, and ammonium sulfate were
carried out.</p>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F13"><?xmltex \currentcnt{A4}?><?xmltex \def\figurename{Figure}?><label>Figure A4</label><caption><p id="d1e5435">Characterization measurements of the counting efficiency of the UHSAS-A: comparison of the particle number concentrations measured by the UHSAS-A and the TSI CPC 3025A reference for different particle species and particle sizes (color coded).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f13.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F14"><?xmltex \currentcnt{A5}?><?xmltex \def\figurename{Figure}?><label>Figure A5</label><caption><p id="d1e5446">Relative intensity at the detector of UHSAS-A calculated for the refractive index of PSL particles (<inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn></mml:mrow></mml:math></inline-formula>), ATAL aerosol particles (<inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>), and stratospheric aerosol particles (<inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f14.png"/>

        </fig>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T1"><?xmltex \currentcnt{A1}?><label>Table A1</label><caption><p id="d1e5495">UHSAS-A bin limits for the calibration with PSL particles (refractive index <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn></mml:mrow></mml:math></inline-formula>), recalibrated for refractive indices of 1.5 and 1.45.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Bin limits (in <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">Bin limits (in <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Bin limits (in <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">for <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">for <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">for <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">65</oasis:entry>
         <oasis:entry colname="col2">68</oasis:entry>
         <oasis:entry colname="col3">70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">71</oasis:entry>
         <oasis:entry colname="col2">74</oasis:entry>
         <oasis:entry colname="col3">76</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">79</oasis:entry>
         <oasis:entry colname="col2">82</oasis:entry>
         <oasis:entry colname="col3">85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">88</oasis:entry>
         <oasis:entry colname="col2">92</oasis:entry>
         <oasis:entry colname="col3">95</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">104</oasis:entry>
         <oasis:entry colname="col2">109</oasis:entry>
         <oasis:entry colname="col3">112</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">123</oasis:entry>
         <oasis:entry colname="col2">128</oasis:entry>
         <oasis:entry colname="col3">133</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">145</oasis:entry>
         <oasis:entry colname="col2">152</oasis:entry>
         <oasis:entry colname="col3">157</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">171</oasis:entry>
         <oasis:entry colname="col2">179</oasis:entry>
         <oasis:entry colname="col3">185</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">213</oasis:entry>
         <oasis:entry colname="col2">224</oasis:entry>
         <oasis:entry colname="col3">232</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">266</oasis:entry>
         <oasis:entry colname="col2">280</oasis:entry>
         <oasis:entry colname="col3">290</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">341</oasis:entry>
         <oasis:entry colname="col2">361</oasis:entry>
         <oasis:entry colname="col3">376</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">449</oasis:entry>
         <oasis:entry colname="col2">481</oasis:entry>
         <oasis:entry colname="col3">503</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">592</oasis:entry>
         <oasis:entry colname="col2">641</oasis:entry>
         <oasis:entry colname="col3">674</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1000</oasis:entry>
         <oasis:entry colname="col2">1061</oasis:entry>
         <oasis:entry colname="col3">1111</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e5778">For each particle size and species, size distributions averaged over several
minutes were generated. The DMA allowed the selection of particles with
diameters of up to 1 <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.<?pagebreak page15277?> Therefore, measurements at the upper end of
the UHSAS-A size range could be performed. For particle diameters larger
than 600 <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, however, only high concentrations of preselected PSL
standards could provide a sufficient number of particles to the UHSAS-A in order
to allow for measurements with low variability due to counting
statistics. For sodium chloride, ammonium nitrate, and ammonium sulfate, the
aerosol generator used was not able to generate enough particles of these
sizes. Hence, after selection by the DMA and possible line losses, only an
insufficient number of these large particles could reach the detection cell of
the UHSAS-A. Figure <xref ref-type="fig" rid="App1.Ch1.S1.F12"/> shows the results of these measurements,
comparing the main particle mode diameter of the size distribution measured by
the UHSAS-A (using all 99 available size bins) with the particle
(electrical mobility) diameter selected by a DMA for different particle
species. The gray bars represent the bin mapping used after post-processing. These bin limits were selected as a compromise between the size
resolution and a reasonable averaging time at low number concentrations, as
well as the ability of the UHSAS-A to resolve the signal response (most
relevant for particles with a diameter <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d1e5819">For each particle species, a linear regression was calculated. Considering the
slopes of the linear regression function for PSL particles with a value of
0.99, there is a discrepancy of only 1 <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> between the DMA set mobility
diameter and the measurement from the UHSAS-A. Comparing the slopes of the
linear regressions of sodium chloride, ammonium nitrate, and ammonium sulfate
with those reported by <xref ref-type="bibr" rid="bib1.bibx9" id="text.121"/>, for results obtained with the
laboratory version of the UHSAS, the particle size measurements of both
instruments show a similar dependence on the particle species. For example,
the slopes of sodium chloride at <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.96</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> and ammonium nitrate at
<inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.92</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> in <xref ref-type="bibr" rid="bib1.bibx9" id="text.122"/> agree, within the confidence interval,
with the slopes of <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.97</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> for sodium chloride and
<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.91</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> for ammonium nitrate determined here. However, ammonium sulfate, with a slope of
<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.89</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> for the UHSAS-A, shows a much larger deviation from the DMA
diameter than that reported by <xref ref-type="bibr" rid="bib1.bibx9" id="text.123"/> with <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.96</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> This
could, for example, be due to insufficient drying of the particles in the
diffusion dryer.  In order to exclude this, <xref ref-type="bibr" rid="bib1.bibx9" id="text.124"/> also measured
the relative humidity in their system and reported it as RH <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. As the relative humidity was not measured in the
experimental setup used here, an influence of residual moisture on the
measurement cannot be excluded.</p>
      <p id="d1e5936">Based on limited laboratory studies, <xref ref-type="bibr" rid="bib1.bibx31" id="text.125"/> reported that black
carbon particles might incandesce and vaporize due to the particles'
absorption of energy from the UHSAS-A detector laser (optical cavity laser
power of <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kW</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 1054 <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>). This effect and the
complex refractive index of black carbon would alter the sizing of black
carbon particles significantly. While particles might be undersized because of
the complex refractive index, the incandescing of black carbon particles could
potentially result in an oversizing or an undersizing of these particles.</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Counting efficiency</title>
      <p id="d1e5985">To characterize the counting efficiency of the UHSAS-A, the aerosol line
between the DMA and the UHSAS-A (as described in
Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) was split, and one line was connected to a
condensation particle counter (CPC, TSI 3025A) as a reference. In total, 32
measuring series with PSL, sodium chloride, ammonium nitrate, and ammonium
sulfate particles of different sizes (selected with a DMA) and number
concentrations (between 30 and 2000 <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), each averaged over
100 <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, were conducted. The results of these measurements are shown in
Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F13"/>, with the electrical mobility diameter set at the DMA
color coded.  The correlation coefficient <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula> confirms the linear
correlation between the particle number concentrations measured by the UHSAS-A
and the CPC over 3 orders of magnitude. The slope of the linear fit
function was calculated to be 1.06, while the intercept was forced to be 0
(after successful zero filter tests with both instruments). A dependence on
the particle size is not visible in the particle size
range used here. Therefore, the accuracy of the particle number concentration measured
by the UHSAS-A under laboratory conditions was estimated to be 10 <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>,
limited by the accuracy reported for the reference instrument (CPC).</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Recalibration of the UHSAS-A bin limits</title>
      <?pagebreak page15278?><p id="d1e6046">The UHSAS-A was calibrated with PSL standard particles, as described in
Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>. These particles have a refractive index of <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.59</mml:mn></mml:mrow></mml:math></inline-formula>
(<xref ref-type="bibr" rid="bib1.bibx27" id="altparen.126"/>). For the aerosol backscatter calculations
(Sect. <xref ref-type="sec" rid="Ch1.S6.SS1"/>), the bin limits were recalibrated for a refractive
index of <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> (see Table <xref ref-type="table" rid="App1.Ch1.S1.T1"/>). This was done by
calculating the response of the UHSAS-A (laser wavelength of 1054 <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>;
collection angle of 22<inline-formula><mml:math id="M450" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to 158<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, as reported by
<xref ref-type="bibr" rid="bib1.bibx9" id="altparen.127"/>) using custom software written by
<xref ref-type="bibr" rid="bib1.bibx50" id="text.128"/>, which is based on the algorithms described in
<xref ref-type="bibr" rid="bib1.bibx3" id="text.129"/>. Figure <xref ref-type="fig" rid="App1.Ch1.S1.F14"/> shows the relative intensity
at the detector calculated for these three refractive indices.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <?xmltex \currentcnt{B}?><label>Appendix B</label><title>Sensitivity of the backscatter calculation to particle size and
refractive index</title>
      <p id="d1e6142">To estimate the influence of the
uncertainties from the aerosol particle size distribution measurements on the
aerosol backscatter calculations, a sensitivity study was performed as
follows: the aerosol backscatter coefficient was calculated for a set of 42
size distributions (each averaged over a 100 <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> interval) from
StratoClim 2017 flight KTM3 using a refractive index of <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>. The
calculations were then repeated after the bin limits of the size distributions were
shifted by 10 <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> to larger values and once more after the values of
the bin limits were made 10 <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> smaller than the reference case. As a
next step, the backscatter calculations were done using the original bin limits
changing the refractive index to 1.45 and once more to 1.55.  The results of
these calculations (Fig. <xref ref-type="fig" rid="App1.Ch1.S2.F15"/>) do not vary by more than 50 <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>
from the reference case. This also agrees with the variations of the
backscatter calculations reported in <xref ref-type="bibr" rid="bib1.bibx11" id="text.130"/>.</p>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F15"><?xmltex \currentcnt{B1}?><?xmltex \def\figurename{Figure}?><label>Figure B1</label><caption><p id="d1e6197">Sensitivity test of the aerosol backscatter coefficient calculation for different refractive indices (<inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.45</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.55</mml:mn></mml:mrow></mml:math></inline-formula>) and shifts of the bin limits of the aerosol size distribution by <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f15.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</app>

<app id="App1.Ch1.S3">
  <?xmltex \currentcnt{C}?><label>Appendix C</label><title>BR variability in the remote sensing measurements during StratoClim 2017</title>
      <p id="d1e6270">The standard deviation for the backscatter ratio profile calculated based on
the aerosol particle size distributions measured during StratoClim 2017 is shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>. Figure <xref ref-type="fig" rid="App1.Ch1.S3.F16"/> additionally reports
the standard deviation for the backscatter ratio profiles measured by CALIOP,
MAS, and MAL as horizontal bars.</p>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S3.F16"><?xmltex \currentcnt{C1}?><?xmltex \def\figurename{Figure}?><label>Figure C1</label><caption><p id="d1e6279">Vertical profile of the backscatter ratio at a 532 <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelength. The mean profile (blue line) and standard deviation (blue bars) of the calculated BR based on the aerosol size distributions measured during the 2017 StratoClim measurement campaign are shown. The mean profiles (with the standard deviation as horizontal bars) of the backscatter ratio at a 532 <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> wavelength measured by CALIOP, MAS, and MAL are plotted in red, green, and orange, respectively.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/21/15259/2021/acp-21-15259-2021-f16.png"/>

      </fig>

</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e6308">The data shown in this study will be made available on the HALO database (<uri>https://halo-db.pa.op.dlr.de/mission/101</uri>; <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.131"/>) or can be provided by the respective PI upon request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6320">CM performed the UHSAS-A measurements and data evaluations, created the figures, and drafted the paper with contributions from SB, RW, FC, and JPV. RW provided the COPAS aerosol measurements. FC provided the MAS backscatter ratio profile and performed the backscatter ratio calculations based on the prepared aerosol size distributions from CM. JPV provided the CALIOP backscatter ratio profile. VM and RM provided the MAL backscatter ratio profile. The NIXE-CAS data were provided by AA and MK. FP contributed to the meteorological reanalyses. SV and FD'A provided the CO data. TD provided  the balloon-borne<?pagebreak page15279?> aerosol size distribution measurement data. The paper was critically reviewed by RW, FC, JPV, AA, MK, VM, RM, SV, FD'A, FP, TD, and SB.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6326">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e6332">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e6339">This article is part of the special issue “StratoClim stratospheric and upper tropospheric processes for better climate predictions (ACP/AMT inter-journal SI)”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6345">The contributions from the technical staff at the workshops of the MPI for
Chemistry and the Institute for Physics of the Atmosphere (Mainz University),
and the Myasishchev Design Bureau (MDB) were essential. In particular,
we acknowledge support from Thomas Böttger, Christian von Glahn, Harald Rott, and  Wilhelm A. Schneider. The extraordinary
commitment of Fred Stroh to the realization of the campaign and the leadership of
the entire StratoClim project by Markus Rex are gratefully acknowledged. We very
much thank the MDB crew and the M55 <italic>Geophysica</italic> pilots. We explicitly thank the Nepalese
government authorities, research institutions, and Tribhuvan International Airport as well
as the German Embassy for their extraordinary support and hospitality, as this exceptional field campaign and our research would not have
been possible without them.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6353">Some of our research leading to the presented results received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013; ERC grant agreement no. 321040, EXCATRO). The StratoClim project was funded by the EU (FP7/2007-2018 grant no. 603557) and was also supported by the German “Bundesministerium für Bildung und Forschung” (BMBF) under the joint ROMIC project SPITFIRE (grant no. 01LG1205A). The balloon-borne LPC and CNC measurements from Hyderabad were supported by the US National Aeronautics and Space Administration, and the measurements from Laramie were supported by the US National Science Foundation (grant no. 1011827).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access publication were covered by the Max Planck Society.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6362">This paper was edited by Paola Formenti and reviewed by two anonymous referees.</p>
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    <!--<article-title-html>The Asian tropopause aerosol layer within the 2017 monsoon anticyclone: microphysical properties derived from aircraft-borne in situ measurements</article-title-html>
<abstract-html><p>The Asian summer monsoon is an effective pathway for aerosol particles and
precursors from the planetary boundary layer over Central, South, and East
Asia into the upper troposphere and lower stratosphere. An enhancement of
aerosol particles within the Asian monsoon anticyclone (AMA), called the Asian tropopause aerosol layer (ATAL), has been observed
by satellites. We discuss
airborne in situ and remote sensing observations of aerosol microphysical
properties conducted during the 2017 StratoClim field campaign within the AMA
region. The aerosol particle measurements aboard the high-altitude research
aircraft M55 <i>Geophysica</i> (maximum altitude reached of  ∼ 20.5&thinsp;km)
were conducted with a modified ultra-high-sensitivity aerosol
spectrometer – airborne (UHSAS-A; particle diameter detection range of
65&thinsp;nm to 1&thinsp;µm), the COndensation PArticle counting System
(COPAS, detecting total concentrations of submicrometer-sized particles), and
the New Ice eXpEriment – Cloud and Aerosol Spectrometer with Detection of
POLarization (NIXE-CAS-DPOL). In the COPAS and UHSAS-A vertical particle
mixing ratio (PMR) profiles and the size distribution profiles (for number,
surface area, and volume concentration), the ATAL is evident as a distinct
layer between  ∼ 370 and 420&thinsp;K potential temperature (Θ). Within the ATAL, the maximum detected PMRs (from the median profiles) were
 ∼ 700&thinsp;mg<sup>−1</sup> for particle diameters between 65&thinsp;nm and
1&thinsp;µm (UHSAS-A) and higher than 2500&thinsp;mg<sup>−1</sup> for diameters
larger than 10&thinsp;nm (COPAS). These values are up to 2 times higher
than those previously found at similar altitudes in other tropical locations. The
difference between the PMR profiles measured by the UHSAS-A and the COPAS
indicate that the region below the ATAL at Θ levels from 350 to
370&thinsp;K is influenced by the nucleation of aerosol particles (diameter
 &lt; 65&thinsp;nm). We provide detailed analyses of the vertical distribution
of the aerosol particle size distributions and the PMR and compare these with
previous tropical and extratropical measurements. The backscatter ratio (BR)
was calculated based on the aerosol particle size
distributions measured in situ. The resulting data set was compared with the vertical profiles
of the BR detected by the multiwavelength aerosol scatterometer (MAS) and an
airborne miniature aerosol lidar (MAL) aboard the M55 <i>Geophysica</i> and by the
satellite-borne Cloud-Aerosol Lidar with Orthogonal Polarization (CALIOP). The
data of all four methods largely agree with one another, showing enhanced BR values in the altitude range of the ATAL (between  ∼ 15 and
18.5&thinsp;km) with a maximum at 17.5&thinsp;km altitude. By means of the
AMA-centered equivalent latitude calculated from meteorological reanalysis
data, it is shown that such enhanced values of the BR larger than 1.1 could only be
observed within the confinement of the AMA.</p></abstract-html>
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