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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-16-5793-2016</article-id><title-group><article-title>The origin of midlatitude ice clouds and the resulting influence on their microphysical properties</article-title>
      </title-group><?xmltex \runningtitle{Cirrus origins}?><?xmltex \runningauthor{A.~E.~Luebke et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Luebke</surname><given-names>Anna E.</given-names></name>
          <email>a.luebke@fz-juelich.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <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="aff1">
          <name><surname>Costa</surname><given-names>Anja</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3097-6269</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Grooß</surname><given-names>Jens-Uwe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9485-866X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Meyer</surname><given-names>Jessica</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rolf</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5329-0054</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Spelten</surname><given-names>Nicole</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Avallone</surname><given-names>Linnea M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Baumgardner</surname><given-names>Darrel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3296-3085</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Krämer</surname><given-names>Martina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2888-1722</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Forschungszentrum Jülich, Institut für Energie und Klimaforschung (IEK-7), Jülich, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Science Foundation, Arlington, Virginia, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Droplet Measurement Technologies, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff4"><label>a</label><institution>now at: Bundesanstalt für Arbeitsschutz und Arbeitsmedizin, Unit “Exposure Scenarios”, Dortmund, Germany</institution>
        </aff>
        <aff id="aff5"><label>b</label><institution>formerly at: University of Colorado, Boulder, Colorado, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Anna E. Luebke (a.luebke@fz-juelich.de)</corresp></author-notes><pub-date><day>12</day><month>May</month><year>2016</year></pub-date>
      
      <volume>16</volume>
      <issue>9</issue>
      <fpage>5793</fpage><lpage>5809</lpage>
      <history>
        <date date-type="received"><day>24</day><month>November</month><year>2015</year></date>
           <date date-type="rev-request"><day>7</day><month>December</month><year>2015</year></date>
           <date date-type="rev-recd"><day>4</day><month>April</month><year>2016</year></date>
           <date date-type="accepted"><day>17</day><month>April</month><year>2016</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016.html">This article is available from https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016.pdf</self-uri>


      <abstract>
    <p>The radiative role of ice clouds in the atmosphere is known to be
important, but uncertainties remain concerning the magnitude and net
effects.  However, through measurements of the microphysical
properties of cirrus clouds, we can better characterize them, which
can ultimately allow for their radiative properties to be more
accurately ascertained.  Recently, two types of cirrus clouds differing by formation
mechanism and microphysical properties have been classified – in situ and
liquid origin cirrus.  In this study, we present observational evidence to show that two distinct
types of cirrus do exist.  Airborne, in situ measurements of cloud ice
water content (IWC), ice crystal concentration (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and
ice crystal size from the 2014 ML-CIRRUS campaign provide cloud
samples that have been divided according to their origin type.  The
key features that set liquid origin cirrus apart from the in situ
origin cirrus are higher frequencies of high IWC (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>), higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, and larger ice
crystals.  A vertical distribution of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> shows that the
in situ origin cirrus clouds exhibit a median value of around
0.1 <inline-formula><mml:math display="inline"><mml:mrow><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>, while the liquid origin concentrations are
slightly, but notably higher.  The median sizes of the crystals
contributing the most mass are less than 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for in situ
origin cirrus, with some of the largest crystals reaching
550 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in size.  The liquid origin cirrus, on the other
hand, were observed to have median diameters greater than
200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, and crystals that were up to 750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.  An
examination of these characteristics in relation to each other and
their relationship to temperature provides strong evidence that these
differences arise from the dynamics and conditions in which the ice
crystals formed.  Additionally, the existence of these two groups in
cirrus cloud populations may explain why a bimodal distribution in the
IWC-temperature relationship has been observed.  We hypothesize that
the low IWC mode is the result of in situ origin cirrus and the high
IWC mode is the result of liquid origin cirrus.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Though difficulties and uncertainties associated with
measuring and parameterizing cirrus cloud properties and the
complex processes involved exist, the fact that cirrus clouds are a key
component in the Earth's radiative budget is well established.
Numerous studies have demonstrated the intricate details involved
in putting together a complete and accurate portrayal of the
radiative properties of cirrus clouds.  For example, analyses have
reported on the sensitivity to ice crystal sizes, shapes, and
concentrations, cloud top height, optical depth, etc. and how these
factors change within and between regions of the globe,
<xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx13 bib1.bibx10 bib1.bibx34" id="paren.1"><named-content content-type="pre">e.g.,</named-content></xref>.
Furthermore, recent studies, such as that from <xref ref-type="bibr" rid="bib1.bibx15" id="text.2"/>,
and references therein, highlight the intricacies of representing
cirrus clouds accurately in simulations and reveal that this issue
leads to questions in regard to the radiative role of cirrus clouds in
the present and future climate.</p>
      <p>In situ observations and subsequent analyses of cirrus
microphysical properties such as ice water content (IWC), ice
crystal concentration (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and ice crystal size
contribute to the construction of a more accurate characterization
of cirrus clouds by providing values that are the basis for
creating and validating parameterizations developed for general circulation models (GCMs).
These three properties are found to vary naturally over several
orders of magnitude <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx29 bib1.bibx18 bib1.bibx21 bib1.bibx11" id="paren.3"/>; therefore it is more reasonable and
useful to explore them in the context of their relationship to
other environmental variables (e.g., temperature).  This in turn
allows us to infer other information such as the mechanism of ice
crystal formation and growth and go on to develop classifications
of cirrus clouds based on these relationships.</p>
      <p>An analysis of a large database of cirrus data from
<xref ref-type="bibr" rid="bib1.bibx22" id="text.4"/> showed that there is a bimodal frequency
distribution of IWC as a function of temperature.  They
hypothesized that the two modes are representative of the two
formation pathways of cirrus ice crystals, homogeneous and
heterogeneous ice nucleation.  Both modes are observed over the
complete cirrus temperature range, and the peak values of the modes
increase with temperature.  Furthermore, the low and high IWC modes
correspond to respective <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.  While that study points to
differences in nucleation pathways as being the key to understanding
these bi-modalities, studies like <xref ref-type="bibr" rid="bib1.bibx27" id="text.5"/>
suggest that differences in larger scale dynamics are the important factor.
Their study reported that two populations of ice crystals were observed in particle
size distributions (PSDs) from
the Small Particles in Cirrus (SPARTICUS) campaign.  They found
a narrow small-particle mode and a broader large-particle mode
(separated by a level area in the distribution, usually between about 40
and 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m).  However, this
bimodality was not consistently evident.  Further, they found that
subtropical and anvil cirrus types were more likely to display
a bimodal PSD, while ridge-crest and frontal cirrus PSDs were more
typically monomodal.  An analysis of other microphysical properties also
demonstrated strong ties to the large-scale dynamics of the environment in
which they were observed.</p>
      <p>A scan of the literature surrounding cirrus clouds shows that classification schemes
based on large-scale dynamics or meteorology are commonly used, <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx9 bib1.bibx23 bib1.bibx27 bib1.bibx12" id="paren.6"><named-content content-type="pre">e.g.,</named-content></xref>.  Typically, the cirrus
clouds are classified as “synoptic” or “convective”, or they are classified based
on more specific meteorology.  However, <xref ref-type="bibr" rid="bib1.bibx19" id="text.7"/> has recently
proposed new definitions for a cirrus classification scheme based on the origin
of the ice crystals – in situ and liquid origin cirrus clouds.  The details of this scheme
are further discussed in Sect. <xref ref-type="sec" rid="Ch1.S2"/>.</p>
      <p>Briefly, in <xref ref-type="bibr" rid="bib1.bibx19" id="text.8"/>, various cirrus production and development
scenarios are discussed.  These scenarios are explored through
extensive and detailed modeling work from a microphysics box model,
MAID (Model for Aerosol and Ice Dynamics), and compared to in situ
observations from several airborne campaigns.  However, the
frequently observed high IWC values in combination with high
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are not represented in the model simulations, thus
indicating that “classic” cirrus microphysics does not lead to
such conditions.  One feature that is not included in the MAID
model is the possibility for preexisting ice.  Preexisting ice
means that the ice crystals are formed in the mixed-phase regime at
warmer temperatures (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>235</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>), but are eventually
incorporated into a cirrus cloud where they contribute to the
overall microphysics.  This pathway could lead to a cirrus cloud
that contains many large ice crystals and thus the high IWC values,
particularly if the crystals first developed in an environment
that allows them to grow larger.</p>
      <p>The analysis presented here follows from <xref ref-type="bibr" rid="bib1.bibx19" id="text.9"/> by
using observational evidence to further explore and explain the two
distinct types of cirrus proposed – in situ and liquid origin
cirrus clouds.  <xref ref-type="bibr" rid="bib1.bibx19" id="text.10"/> used model results and a more
broad campaign-case method to introduce this concept.  The
following study seeks to demonstrate the existence of these two
cirrus cloud types by delving more deeply into how the
microphysical properties differ from one type to the other.
Specifically, we focus on IWC, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and ice crystal
size.  This is especially important for fully understanding cirrus
clouds and how they should be properly represented in modeling
scenarios as changes in microphysical properties will affect the
radiative properties of cirrus clouds, both locally and globally.</p>
</sec>
<sec id="Ch1.S2">
  <title>Cirrus cloud origins</title>
      <p>Cirrus analyses often categorize naturally occurring, non-aviation-induced cirrus clouds into two groups based on the meteorology
associated with their development.  However, the recent study from
<xref ref-type="bibr" rid="bib1.bibx19" id="text.11"/> introduced an updated classification of these
two types, which instead refers to their origin – in situ and
liquid.  This classification is based on (i) the formation mechanism of the
cloud particles (directly as ice or frozen liquid droplets), and is therefore tied
to a temperature threshold of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, below which liquid water drops do not exist,
and, (ii) the vertical velocity, which determines the thickness of the cirrus.
By default, a meteorological classification is also
embedded within this scheme, but with some modification.
This is discussed at the end of this section.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Schematic of the basic mechanism surrounding in situ origin cirrus
(left) and liquid origin cirrus (right). Each scenario illustrates the
movement of air and/or cloud particles from their origin to a cirrus cloud.
Left panel (in situ origin): the “freezing threshold” indicates where
heterogeneous and/or homogeneous ice nucleation takes place and cirrus
development begins. Right panel (liquid origin): the cloud particles first
form in the mixed-phase region of the atmosphere and become ice through
heterogeneous or homogeneous drop freezing. After crossing the 235 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>
threshold, liquid water no longer exists, which indicates the boundary of the
cirrus region of the atmosphere.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f01.png"/>

      </fig>

      <p>Cirrus clouds whose ice crystals have formed and grown within an
ice cloud only environment are referred to as
in situ origin cirrus clouds. These clouds form via heterogeneous and
homogeneous ice nucleation whereby an air parcel rises and cools to
a point at which a freezing threshold (i.e., the supersaturation with respect
to ice needed to initiate nucleation) is crossed, and ice crystals
can form and continue to grow as conditions allow.  The freezing
threshold is determined with respect to ice nuclei in the case of
heterogeneous ice nucleation or with respect to supercooled solution particles in the
case of homogeneous ice nucleation.  Homogeneous ice nucleation
refers to the process
by which supercooled particles in solution freeze.  This development process is
illustrated simply in the schematic
shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>, left. In situ origin cirrus clouds may
also be observed in the form of fall streaks, i.e., where large ice crystals have sedimented
to lower altitudes/higher temperatures.  However, this phenomena
was not observed in the data set used for this analysis.</p>
      <p>Cirrus clouds whose ice crystals originally formed as liquid drops
lower in the atmosphere (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>235</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>), which subsequently
froze while being lifted into the cirrus temperature region of the
atmosphere, are referred to as liquid origin cirrus clouds
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>, right). This difference is important
because liquid and mixed-phase clouds develop and are controlled by
different microphysical processes, such as the mechanism described
by the Köhler equation, than those found in ice-only
atmospheric environments.  These warmer clouds exist in a regime
that supplies a greater amount of water vapor for cloud particle
formation and growth.  Furthermore, the population of effective
cloud condensation nuclei (CCN) can result in clouds with many
liquid cloud particles.  Heterogeneous drop freezing will be
triggered in those particles containing an insoluble ice nucleus.
Homogeneous drop freezing, which is something different from the
homogeneous ice nucleation of aerosol particles in solution
discussed in the previous paragraph,
is also possible but will only occur at
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> if supercooled liquid water droplets still
remain. These conditions also allow for other growth mechanisms,
such as aggregation and riming, that are not always seen in the
cirrus environment. Aggregation and riming can be important processes in liquid
origin cirrus clouds, but mainly at higher vertical velocities (i.e., in strong convection).
As shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>, we
suggest that if the vertical motion is strong enough, any existing
ice crystals or liquid droplets can also be lifted into the cirrus
environment.  Any ice crystals or frozen liquid drops observed
within this space would then be identified as a cirrus cloud,
regardless of their origin.  Additionally, liquid origin cirrus
clouds can be connected to in situ origin cirrus clouds.  If the
conditions allow for it (i.e., if the supersaturation reaches the
homogeneous ice nucleation threshold), further ice nucleation events producing small
ice crystals may take place in addition to the existing, large
liquid origin cirrus crystals.  The liquid origin cirrus type is where
convective cirrus is classified.  Warm conveyor belt cirrus and, in some cases,
lee-wave-induced cirrus are also good candidates for inclusion in this
category because they can involve a lifting of clouds to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>38 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p>Though this classification is based on the ice crystal origin, it can also be compared to
categorization based on meteorology.  For example, as noted in the introduction,
<xref ref-type="bibr" rid="bib1.bibx27" id="text.12"/> classify observations from the SPARTICUS campaign into
groups such as ridge-crest, frontal, subtropical jet stream, and anvil cirrus. <xref ref-type="bibr" rid="bib1.bibx19" id="text.13"/>
explain that ridge-crest cirrus is comparable to in situ origin cirrus in a fast updraft case, while
frontal, subtropical jet stream, and anvil cirrus fit into the liquid origin category
and represent both slow and fast updraft cases.  As discussed more thoroughly
therein, this is further supported by observational similarities and differences
between SPARTICUS and the campaigns (including ML-CIRRUS) used
by <xref ref-type="bibr" rid="bib1.bibx19" id="text.14"/> for their analysis.</p>
</sec>
<sec id="Ch1.S3">
  <title>ML-CIRRUS 2014</title>
      <p>The primary data set used for this study comes from the recent
ML-CIRRUS campaign, which took place in the spring of 2014.  The
campaign was based out of Oberpfaffenhofen, Germany using the HALO
aircraft and comprises 16 flights in total covering various
locations over the European continent <xref ref-type="bibr" rid="bib1.bibx33" id="paren.15"/>.  Only 13
flights are used in the analysis presented here.  The remaining
three flights have been excluded from our analysis because they
were aimed at sampling pure contrail/aviation-induced cirrus or
liquid clouds.</p>
<sec id="Ch1.S3.SS1">
  <title>Measurement of ice crystal properties: NIXE-CAPS particle spectrometer</title>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Instrument description</title>
      <p>The instrument used in this study is a version of the Cloud Aerosol
and Precipitation Spectrometer (CAPS) that was developed in 2001 to
measure the properties of cloud and aerosol particles
<xref ref-type="bibr" rid="bib1.bibx2" id="paren.16"/>. The CAPS is a combination probe that
integrates two techniques for measuring the particle size
distribution (PSD): the PSD of particles 0.6 to 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in
diameter is measured with the Cloud and Aerosol Spectrometer (CAS)
using light scattered from individual particles that pass through
a focused laser beam.  For measurements of particles
15–937 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in diameter, the Cloud Imaging Probe (CIP),
which utilizes the optical array probe (OAP) technique, is
used.  The new version of CAPS, operated by Forschungszentrum
Jülich, is called NIXE-CAPS (Novel Ice Experiment–CAPS) and
is described in more detail by <xref ref-type="bibr" rid="bib1.bibx25" id="text.17"/>.</p>
      <p>The improved features of the new instrument are briefly described
here.  Both the CAS and CIP are now equipped with the
“particle-by-particle” option, meaning each particle is recorded
with its own time stamp.  This option makes a particle interarrival
time analysis, and therefore the removal of most shattered ice
crystal fragments, possible <xref ref-type="bibr" rid="bib1.bibx8" id="paren.18"/>. Additionally, the
CIP has been upgraded to imaging at a higher resolution with three
gray-scale levels (CIP-Grayscale), which improves the
discrimination of out of focus particles.</p>
      <p>The CAS has undergone several modifications as well.  Firstly, the
inlet tube, which originally had a stepped, slight expansion, has
been replaced by a completely straight tube to ensure that the
velocity in the inlet equals the aircraft speed so that the
particles are sampled nearly isokinetically. Secondly, the entry
of the CAS inlet tube has been sharpened to a knife edge to
minimize the area susceptible to shattering of ice
particles. Lastly, a new detector was implemented that allows the
separation of spherical from non-spherical (aspherical) shapes
(CAS-DPOL). Briefly, it measures the intensity of the parallel and
perpendicularly polarized components of the scattered light caused
by single atmospheric particles <xref ref-type="bibr" rid="bib1.bibx3" id="paren.19"><named-content content-type="pre">see</named-content><named-content content-type="post">for more
details</named-content></xref>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Flowchart of the NIXE-CAPS data processing library, NIXE-Lib. The
data first undergoes time synchronization and velocity correction. It
continues into various corrections of particle counts and sizing. The final
steps produce a particle concentration for CAS-DPOL and CIP-Grayscale,
respectively. SODA: a software program developed at the National Center for
Atmospheric Research (NCAR) in Boulder, Colorado, USA. This program is
embedded in the NIXE-Lib. See <xref ref-type="bibr" rid="bib1.bibx25" id="text.20"/> for more details.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f02.png"/>

          </fig>

      <p>In addition to the instrument improvements, a data processing
library (NIXE-Lib) was developed for fast and precise simultaneous
data analysis of the NIXE-CAPS measurements, which has been
described in <xref ref-type="bibr" rid="bib1.bibx25" id="text.21"/>. A flowchart of the NIXE-Lib is
shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/>, where all subsequent standard data
processing procedures are displayed, including time synchronization
of the measurements, velocity correction, corrections of particle
counts, particle sizing (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: optical equivalent diameter for
CAS-DPOL, area equivalent diameter for CIP-Grayscale), interarrival
time analysis, and finally, calculation of the particle
concentrations (d<inline-formula><mml:math display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula>: particle concentration per size bin,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>tot</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>: total ambient particle concentration; the true
air speed (TAS) is used for the calculations), and the PSDs
<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>log⁡</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for CAS-DPOL and
CIP-Grayscale.</p>
      <p>The sphericity classification is performed for the size range
3–50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m by using the polarization channel of the
CAS-DPOL (to be discussed further in an upcoming analysis) and for sizes
70–240 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m from CIP-Grayscale measurements using the
habit identification algorithm of <xref ref-type="bibr" rid="bib1.bibx17" id="text.22"/>.</p>
      <p>As a last step, the PSDs of CAS-DPOL and CIP-Grayscale are merged
into a single PSD covering the range of 0.6 to 937 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.
Henceforth, the size bins up to 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m are taken
from the CAS-DPOL and those larger than 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m from the
CIP-Grayscale. This threshold is used since the CIP-Grayscale has
a larger sampling volume than the CAS-DPOL, thus providing better
particle sampling statistics.  Particles larger than 3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m
in diameter are classified as cloud, while the smaller
particles are considered aerosols.  Thus, for this analysis, particles
in the size range 3–937 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m are used.  According to
<xref ref-type="bibr" rid="bib1.bibx25" id="text.23"/>, the uncertainties associated with the particle concentration
for the NIXE-CAPS sum up to a total of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>20 %. However, as noted by <xref ref-type="bibr" rid="bib1.bibx12" id="text.24"/>, though ice crystals of <inline-formula><mml:math display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 60 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m are a significant ice crystal population, they also contain the largest uncertainty in a given PSD. This also holds true for the data presented in this
analysis.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>IWC from NIXE-CAPS measurements</title>
      <p>During ML-CIRRUS 2014, the IWC was derived from the PSD information
from NIXE-CAPS by integrating the particle mass in each size
bin. The mass-dimension relation that we used for the different
sizes is based on <xref ref-type="bibr" rid="bib1.bibx26" id="text.25"/> since it was developed using
a good agreement between aircraft measurements (during the Tropical
Composition, Cloud and Climate Coupling mission, TC4).  Namely,
this IWC derivation comes from PSD measurements using another type
of optical array probe, 2D-S (with interarrival time correction to
remove shattered particles), and simultaneous measurements with
a CVI (Counterflow Virtual Impactor).  The
<xref ref-type="bibr" rid="bib1.bibx26" id="text.26"/> relationship is

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mi>b</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> is ice particle mass in mg and

                  <disp-formula specific-use="align"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn>0.082740</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn>2.814</mml:mn><mml:mspace linebreak="nobreak" width="1em"/><mml:mtext>for</mml:mtext><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>D</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>240</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:mtext>m</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn>0.001902</mml:mn><mml:mo>,</mml:mo><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn>1.802</mml:mn><mml:mspace width="1em" linebreak="nobreak"/><mml:mtext>for</mml:mtext><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>D</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>240</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:mtext>m</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

              As shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>, we modified the relationship for
ice crystals with <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>240</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m so that</p>
      <p><?xmltex \hack{\newpage}?>

                  <disp-formula id="Ch1.Ex3"><mml:math display="block"><mml:mrow><mml:mtable class="array" columnalign="left left left"><mml:mtr><mml:mtd><mml:mrow><mml:mtext>for</mml:mtext><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>D</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:mtext>m</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mtext>crystals are spheres</mml:mtext></mml:mtd><mml:mtd/></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mtext>for</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn>10</mml:mn><mml:mtext>–</mml:mtext><mml:mn>240</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">µ</mml:mi><mml:mtext>m</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn>0.058</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="1em"/><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn>2.7</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mtext>for</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi>D</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>240</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">µ</mml:mi><mml:mtext>m</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn>0.001902</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="1em" linebreak="nobreak"/><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn>1.802.</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula>

            This modification is derived from an inspection of the sphericity of
the ice crystals (see previous section), which shows that there are
many spherical ice particles present during the campaign, especially
at the smaller sizes.  Also, the confidence in using such a relationship has
recently been discussed in the new, extensive analysis from
<xref ref-type="bibr" rid="bib1.bibx7" id="text.27"/> where they provide observation based m-D relationships
and demonstrate that the relationship is nearly independent of cirrus type.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p><inline-formula><mml:math display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> relationship for spheres (black) and cirrus cloud particles
(blue), as in <xref ref-type="bibr" rid="bib1.bibx26" id="text.28"/>, and the modified relationship for this
analysis (turquoise).</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f03.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <?xmltex \opttitle{$N_{{\text{ice}}}$ and $R_{{\text{ice}}}$ from NIXE-CAPS measurements}?><title><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> from NIXE-CAPS measurements</title>
      <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and mass mean radius (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)
observations for this analysis also come from the NIXE-CAPS.
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> is calculated with

                  <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi>e</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mtext>IWC</mml:mtext></mml:mrow><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mi mathvariant="italic">π</mml:mi><mml:mi mathvariant="italic">ρ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where IWC is in <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is in
<inline-formula><mml:math display="inline"><mml:mrow><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 display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is 0.92 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.  Note that
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is only discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/> and is used
for consistency in a discussion that includes a figure taken directly
from <xref ref-type="bibr" rid="bib1.bibx19" id="text.29"/>.  Elsewhere in the paper, ice crystal sizes
are referred to in diameter.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <title>Modal mass diameter</title>
      <p>The primary ice crystal size variable used in this analysis is
modal mass diameter (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>).  This variable is
calculated by considering the observed ice crystal size
distribution for each time step.  The mass in each size bin is
calculated using the modified <xref ref-type="bibr" rid="bib1.bibx26" id="text.30"/> relationship discussed in
Sect. <xref ref-type="sec" rid="Ch1.S3.SS1.SSS2"/>.  Then, the bin size where the maximum amount of mass is
located is determined to be the modal mass size.  It is worth
considering this variable in addition to the traditionally used
size variables, such as <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, because we are interested
in visualizing large particles and determining whether those
particles are in fact related to very high IWC values.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Examples of CLaMS-Ice simulations from ML-CIRRUS showing a liquid
origin cloud sample (top) from the 11 April flight and an in situ origin
sample (bottom) from the 7 April flight. The flight path is illustrated by the
black line and represents the pressure at which the aircraft was flying
(<inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis) and the distance since take-off (<inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis). The colors in each
plot represent the simulated IWC (orange: high IWC, blue: low IWC). Grey
areas indicate <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>238</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> and do not contain simulated clouds.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f04.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Origin classification</title>
      <p>In order to categorize each ML-CIRRUS flight, or flight segment
when appropriate, by origin type, information from the CLaMS-Ice
model was used.  A detailed description of the model, including
a validation study and comparison between model and in situ data, will take
place in an additional analysis, but is briefly discussed here.  The Chemical
Lagrangian Model of the Stratosphere <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx16" id="paren.31"><named-content content-type="pre">CLaMS;</named-content></xref> performs a back trajectory analysis using location
information from the aircraft along the flight path (time, location)
and ECMWF operational analysis data.  The trajectories are
performed over a time frame specified by the operator.  Next, the
CLaMS-Ice model is run in the forward direction and uses the
two-moment box-model developed by <xref ref-type="bibr" rid="bib1.bibx30" id="text.32"/> to simulate cirrus
cloud development.  This modeling scheme only considers the
trajectories that end at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>238</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>.  If a part of the
trajectory existed at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>238</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> before crossing into the
colder cirrus environment, then it is possible for the forward
model to be initialized with preexisting ice from mixed-phase
clouds, if present.  Whether or not preexisting ice exists is
determined by the IWC values found in the ECMWF data.</p>
      <p>The resulting simulated clouds show a clear difference between the
two origins.  An example of each origin type is shown in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>.  The flights from 7 and 11 April were
chosen to represent in situ and liquid origin clouds, respectively.
The figure illustrates the location of the aircraft in terms of the
distance flown and pressure, and is marked with a solid black line
to form a flight track.  The simulated clouds are depicted in
a curtain format using the IWC values calculated by CLaMS-Ice at
each point along the flight track.  Grey areas appear for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>238</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>.  The liquid origin cirrus clouds (top) are found at
lower altitudes (higher pressures) and exhibit a very high IWC (on
the order of 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) consistently throughout the base of
the cloud.  They are easily identified by eye due to the bright
orange colors.  On the other hand, the in situ origin clouds
(bottom) are found at higher altitudes.  The simulations show
a more cellular appearance to the cloud structure and IWC values
that are lower than their liquid origin counterparts.  These clouds
are also observed on top or to the sides of the liquid origin
cirrus, which is also illustrated by the 11 April flight in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>.</p>
      <p>We were able to use this information along each of the flight
tracks to determine whether the flight or individual flight
segments represent in situ or liquid origin cirrus.  Flights and
flight segments were then divided accordingly.  Temperature
criteria were also applied to the classification.  For the in situ
origin cases, only cirrus sampled at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>235</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> are
considered.  Clouds warmer than this temperature are likely to be
influenced by mixed-phase cloud microphysics.  Thus, for the liquid
origin cases, the temperature range is extended to capture that
influence, and ice-only clouds at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>250</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> are considered.
Clouds above that temperature threshold are likely to be
mixed-phase (containing both ice and liquid) and were not used in
this analysis.  Additionally, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> information from
NIXE-CAPS was considered to aid us in determining in-cloud flight
segments and for visualizing characteristics of the clouds that
were sampled.</p>
      <p>The classification scheme was also validated using a different
method based only on the trajectory information from the CLaMS
model and without the visual cues like those shown in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>. A trajectory is classified as liquid
origin if (1) it contains ice at the beginning of the
trajectory that does not dissipate before reaching the flight path,
(2) if the first valid temperature of the trajectory is warmer than
235 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, and (3) if the flight path at the time of observation
is at a higher altitude than the 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> level.  The
trajectories classified as in situ must satisfy one of the
following criteria: the trajectory does not contain ice water at
the beginning, or if it does, it must first appear at a temperature
colder than 235 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> or must evaporate before the trajectory
reaches the flight path if it began at a temperature warmer than
235 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>.  Good agreement was observed between the
classification used in this analysis and the trajectory-based
scheme.  This demonstrates the robustness of our classification.</p>
      <p>Seven flights were found to contain in situ origin cirrus only and
two flights contain liquid origin cirrus only.  Four flights
contain a combination of both origin categories and have therefore
been divided into respective segments.  This information is listed
in Table <xref ref-type="table" rid="Ch1.T1"/>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <?xmltex \opttitle{Microphysical properties of in situ and liquid\hack{\break} origin cirrus}?><title>Microphysical properties of in situ and liquid<?xmltex \hack{\break}?> origin cirrus</title>
<sec id="Ch1.S4.SS1">
  <title>IWC differences</title>
      <p>As stated in the introduction, our work until this point has
focused primarily on the relationship between IWC and temperature.
Thus, our first impressions of the ML-CIRRUS data set are also based
on the observations of this relationship that were collected during this campaign.
This is shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/> (in both <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
and includes 15 flights from ML-CIRRUS (the excluded flight does not
contain data from NIXE-CAPS). The most frequently
observed IWC values (darker colors in Fig. <xref ref-type="fig" rid="Ch1.F5"/>)
as a function of temperature are generally
found along the “core median” fit line, which was calculated based on
the larger climatological data set found in <xref ref-type="bibr" rid="bib1.bibx29" id="text.33"/>.
Also notable are the high IWC values (<inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100 ppmv, or approximately <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
that were observed.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>ML-CIRRUS flight dates and respective origin categorization.
Classification as “combination” means that both in situ and liquid origin
cirrus were observed. Some days contain more than one flight.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Date</oasis:entry>  
         <oasis:entry colname="col2">Origin category</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">19 Mar</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">21 Mar</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">22 Mar (1)</oasis:entry>  
         <oasis:entry colname="col2">Liquid</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">22 Mar (2)</oasis:entry>  
         <oasis:entry colname="col2">Liquid</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">26 Mar</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">27 Mar</oasis:entry>  
         <oasis:entry colname="col2">Combination</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">29 Mar</oasis:entry>  
         <oasis:entry colname="col2">Combination</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1 Apr</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3 Apr</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7 Apr</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11 Apr (1)</oasis:entry>  
         <oasis:entry colname="col2">Combination</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">11 Apr (2)</oasis:entry>  
         <oasis:entry colname="col2">Combination</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">13 Apr</oasis:entry>  
         <oasis:entry colname="col2">In situ</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>The frequency of IWC observations as a function of temperature for
15 flights from the ML-CIRRUS campaign. IWC is plotted in 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>
temperature bins and is show in <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> (top) and <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
(bottom). The core max, median, and core min lines (black) are from
<xref ref-type="bibr" rid="bib1.bibx29" id="text.34"/>.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>The frequency of IWC observations as a function of temperature. IWC
is plotted in 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> temperature bins for in situ origin (top) and
liquid origin (bottom) data. The core max, median, and core min lines (black)
are from <xref ref-type="bibr" rid="bib1.bibx29" id="text.35"/>.</p></caption>
          <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f06.png"/>

        </fig>

      <p>In comparison to another midlatitude data set, such as SPARTICUS,
the most frequent values from ML-CIRRUS appear low.
The range of IWC values found in SPARTICUS
are between 0.001 and 0.4 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx27" id="paren.36"/>, while the values from
ML-CIRRUS are found in a larger range between <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> 0.2 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
As a result, the definition of what is considered “low” and “high” IWC is different
between our study and others.  However, when the meteorology that was encountered
during each campaign is considered, the reasons for differing IWC ranges is explained.
The ML-CIRRUS data set does not contain the higher IWC values associated with anvil cirrus, while
the SPARTICUS data set does not include observations of in situ origin cirrus in slow updrafts,
which contributes the low IWC values (<inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).
This is more thoroughly discussed in <xref ref-type="bibr" rid="bib1.bibx19" id="text.37"/>.</p>
      <p>To explore the differences between these two cirrus types (in situ and liquid origin), we also begin with IWC
as a function of temperature.  As seen in Fig. <xref ref-type="fig" rid="Ch1.F6"/>,
it is already possible to see
that our hypothesis concerning the difference in IWC
magnitude between the two origins can be demonstrated.  Not only are the
higher IWC values sorted into the liquid origin cirrus category, but the distribution
is also different. As
illustrated by the distribution relative to the median line,
the most frequent IWC values found in
liquid origin cirrus are higher than those observed in the in situ
origin cirrus clouds.  The next sections take a more detailed look
at how the microphysics of the two cirrus types differ, the
mechanisms that can potentially explain those differences, and
underscore that two distinct cirrus types do indeed exist.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> sorted by
observed IWC. The solid black lines in all panels represent IWC levels as
calculated by Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>). <bold>(a, b)</bold> The colors indicate the
IWC (in ppmv) that were observed for each observed
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> combination. <bold>(c, d)</bold> The colors
indicate the frequency of observation for each
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> combination. The cutoff at small
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><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> represents the
lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> detection limit of the CAS-DPOL when it is operated at
1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula>. Panel <bold>(a)</bold> is also shown in <xref ref-type="bibr" rid="bib1.bibx19" id="text.38"/>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <?xmltex \opttitle{IWC, $N_{{\text{ice}}}$, and $R_{{\text{ice}}}$}?><title>IWC, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p>While IWC, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are often
investigated individually, this analysis considers all three
variables together, as shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>a and b.  This representation was first used in
<xref ref-type="bibr" rid="bib1.bibx19" id="text.39"/>, and Fig. <xref ref-type="fig" rid="Ch1.F7"/>a
comes directly from their article.  The plots show <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> with the colors representing IWC.
The black lines in the plot also denote IWC, but represent a value
that is calculated using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>).  Comparing the plots
side by side, one of the most obvious differences is once again (as
in Fig. <xref ref-type="fig" rid="Ch1.F6"/>) that the highest IWC values are found
in the liquid origin cirrus.  Also, the high IWCs occur in
combination with higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values than in the in situ
origin cirrus, which is a key indicator of liquid origin cirrus.
Additionally, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values observed in the liquid
origin cirrus cases occasionally exceed 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in
radius, while the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in the in situ origin
cirrus cases begin to taper off above approximately 75 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in radius.</p>
      <p>Another feature that should be noted is the high <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
values at small <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and low IWC values that are
exhibited in the in situ origin panel.  These data are likely to be
the result of aviation-induced cirrus <xref ref-type="bibr" rid="bib1.bibx19" id="paren.40"><named-content content-type="pre">see
also</named-content></xref>.  Although they are also ice clouds, aviation-induced cirrus clouds (or contrails) develop in different
environmental conditions than naturally occurring cirrus clouds and
display different microphysical properties as a result.  This
includes lower IWC values, high <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and quite small
ice crystals between about 10 and 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in diameter.  For
that reason, it is more appropriate to consider and analyze this
type of cirrus separately.  In the study presented here, aviation-induced cirrus were not filtered out due to the complexities of
doing so, particularly since contrails are often embedded within
naturally occurring cirrus.  However, within the NIXE-CAPS ice
crystal data set, there are some instances in which we can observe
a strong contrail signal occurring during flight legs around
210 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, which is the average temperature at the cruising
altitude for commercial aircraft in the midlatitudes.  Thus, we
have an indication of which flights are more representative of
aviation-induced cirrus as well as how the microphysical properties
of those segments appear.  Any strong features resembling those
found in aviation-induced cirrus should be explored with some
amount of caution as they may be the result of contrail samples.</p>
      <p>From Fig. <xref ref-type="fig" rid="Ch1.F7"/>a and b alone it is difficult to say
anything about the frequency with which these observations have
occurred.  For this purpose, we can look at Fig. <xref ref-type="fig" rid="Ch1.F7"/>c and d.
The same information from Fig. <xref ref-type="fig" rid="Ch1.F7"/>a and b is
presented regarding <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, except
the colors represent the frequency of observation instead of IWC.
However, the IWC information is not completely lost as the IWC
lines provide a rough indication of the expected IWC.  Here, the
differences between these two cirrus types become more clear.  Not
only are the upper bounds of IWC and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reaching
higher and larger values, respectively, in the liquid origin case,
but the overall distribution is shifted to higher IWC,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in terms of where the
highest frequency observations are occurring.  For example, the
most frequently observed IWC for in situ origin cirrus are 1–10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>, while the most common liquid origin cirrus IWCs lie
between 10 and 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>.  Also, for the same
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are shifted to
larger sizes in the liquid origin cirrus relative to the values in
the in situ origin cirrus.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Same as Fig. <xref ref-type="fig" rid="Ch1.F7"/>a and b but with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
instead of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <?xmltex \opttitle{IWC, $N_{{\text{ice}}}$, and $D_{{\text{ice, mode}}}$}?><title>IWC, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p>Another way of looking at the size of the particles is by
considering the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> instead of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.
Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the same IWC and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as
Fig. <xref ref-type="fig" rid="Ch1.F7"/>a and b, but now with <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as the size
parameter.  An advantage to looking at the sizes of the crystals
contributing the most mass is that the differences between the
cirrus types become more clear.  For example, the fact that there
are more high IWC values in the case of liquid origin cirrus than
in the in situ origin cirrus becomes more obvious given the
abundance of the orange and red colors.  Also, we can see that
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values reach approximately 550 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m
in the in situ origin cirrus, but extend out to approximately
750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for the liquid origin cirrus.  This provides
a visual link between the high IWCs and large crystals.
Furthermore, a relationship between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the range
of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values appears in the liquid origin
cirrus.  As <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> increases, the upper bound of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> also increases.  For example, at
0.01 <inline-formula><mml:math display="inline"><mml:mrow><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 largest <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values are
around 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m while they are up to 750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m for
concentrations of 0.5 <inline-formula><mml:math display="inline"><mml:mrow><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 relationship between
size and concentration, as well as possible explanations for the
PSDs in each origin type, are discussed in more detail in
Sect. <xref ref-type="sec" rid="Ch1.S4.SS4.SSS2"/>.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <title>Ice crystal properties: vertical and temperature profiles of concentration and size</title>
      <p>We have already shown that there is a variability of IWC as
a function of temperature and that there are differences in this
variability and the magnitude of the IWC values between origin
types.  Also, we have determined that there are differences in the
concentrations and sizes of the ice crystals.  In the following
sections, we examine the ice crystals in a profile format in order
to better examine these differences, as well as look for information
concerning the mechanisms involved.</p>
<sec id="Ch1.S4.SS4.SSS1">
  <title>Vertical profiles</title>
      <p>Figure <xref ref-type="fig" rid="Ch1.F9"/> illustrates the vertical profiles of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for in situ origin
cirrus and liquid origin cirrus.  Median values of each variable
were calculated for 500 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> altitude intervals along with the
lower and upper quartiles (horizontal lines).  In Fig. <xref ref-type="fig" rid="Ch1.F9"/>a and b,
it is clear that the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in the
liquid origin cirrus type are larger than those in the in situ
origin cirrus type by up to nearly an order of magnitude depending
on the altitude.  The ranges between the lower (LQ) and upper
quartiles (UQ) also reveal another difference.  This range is
larger for in situ origin cirrus than for most of the liquid origin
cirrus.  The median values in the liquid origin are consistently greater
than the midlatitude modal value of 0.1 <inline-formula><mml:math display="inline"><mml:mrow><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>, which we
use here as a guideline, whereas the in situ origin values are
distributed around the modal value.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Vertical profiles of median values of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a, b)</bold> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c, d)</bold> for in situ origin <bold>(a, c)</bold> and liquid origin <bold>(b, d)</bold> cirrus. The horizontal bars represent
the range from the lower quartile to the upper quartile. The black, vertical
line at 0.1 <inline-formula><mml:math display="inline"><mml:mrow><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> in a and b represents the modal <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
observed in midlatitude cirrus. The red, vertical line at 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m in
c and d was arbitrarily chosen as a reference for comparing the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values.</p></caption>
            <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f09.png"/>

          </fig>

      <p>Figure <xref ref-type="fig" rid="Ch1.F9"/>c and d also demonstrate a clear difference between these
origin types in terms of their <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.  Nearly all
of the median values in the in situ origin type are less than
200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m, while the opposite is true in the liquid origin
case.  The range between the LQ and UQ is mostly narrower in the in
situ origin cirrus compared to the liquid origin cirrus.  As for
trends in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of altitude, it is
demonstrated there is not a clear trend for in situ origin cirrus,
but <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is decreasing with increasing altitude in
liquid origin cirrus, which is likely a result of sedimentation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Particle size distributions of in situ origin cirrus (left) and
liquid origin cirrus (right) for 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> temperature bins. The
temperatures listed in the key are the middle of the temperature bin.
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: optical equivalent diameter for CAS-DPOL, area equivalent
diameter for CIP-Grayscale (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mn>20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m).</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f10.png"/>

          </fig>

      <p>Another piece of information that becomes clear at this point is
that while there is an overlap region in regard to altitude, the
liquid origin cirrus can be found at the lower end of expected
cirrus altitudes, while the in situ origin cirrus are found at
higher altitudes.  This result is not surprising considering our
hypothesized development mechanism and the indications from the
CLaMS-Ice model.  It makes sense that the liquid origin cirrus have
strong ties to lower regions in the atmosphere.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS2">
  <title>PSDs as a function of temperature</title>
      <p>Further inferences about the formation and evolution of the clouds
in each origin type can be made based on how the overall population
of ice crystals is behaving as a function of temperature.
Figure <xref ref-type="fig" rid="Ch1.F10"/> shows a comparison between the PSDs in 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>
temperature bins observed in liquid origin and in situ origin
cirrus.  For both origin cases, the general trend is that as the
temperature increases, the number of small crystals decreases while
the number of larger ice crystals increases, which is consistent
with reports from other studies such as <xref ref-type="bibr" rid="bib1.bibx5" id="text.41"/>.  Cirrus
clouds are typically structured with small ice crystals at the top
and large ice crystals at the bottom.  The smallest crystals are
found where nucleation is occurring.  Larger crystals develop mostly
through diffusional growth by water vapor and then fall to lower
cloud layers and warmer temperatures as they grow. Of course, dynamics
and processes like sedimentation are also important for determining
the structure of a cirrus cloud, <xref ref-type="bibr" rid="bib1.bibx31" id="paren.42"><named-content content-type="pre">e.g.,</named-content></xref>.  Nevertheless,
despite the fact that PSDs from both origins fit this simplified description,
clear differences remain.</p>
      <p>The most obvious difference between the overall PSDs, is that the
concentrations of both small and large crystals are greater overall
in the liquid origin cirrus clouds (right panel, Fig. <xref ref-type="fig" rid="Ch1.F10"/>).
This is consistent with the observations that have been discussed in
regard to the previous figures.  The other clear difference is that
the PSD range in the liquid origin cirrus reaches higher ice crystal
diameters (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).  Excluding the PSD at 210 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, which
contains a smaller number of data points, the upper limit of the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> range in the liquid origin cirrus clouds goes from
400–1000 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m as the temperature increases while the in
situ origin clouds reach only 300–700 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p>
      <p>If we consider the origin of the ice crystals, the reasons for the
differences between the PSDs become more clear.  For example, though
the liquid origin cirrus PSDs are structured similarly to the in
situ origin PSDs, they are in fact also consistent with what is
observed in ice crystal PSDs from glaciated mixed-phase clouds
(to be demonstrated in an upcoming analysis).
As explained in Sect. <xref ref-type="sec" rid="Ch1.S2"/>,
the ice particles in glaciated mixed-phase clouds stem from
heterogeneous drop freezing.  Thus, the higher overall
concentrations of cloud particles is indicative of the abundance of
active ice nuclei (IN) lower in the atmosphere where the crystals
first formed <xref ref-type="bibr" rid="bib1.bibx19" id="paren.43"><named-content content-type="pre">see</named-content><named-content content-type="post">for more detailed discussion</named-content></xref>.
In the observations used here, we have not found
evidence that homogeneous drop freezing also contributed to the
development of the liquid origin PSDs, which would have resulted in
even higher overall concentrations.  The lack of this feature in our data
is likely due to the fact that the strong convection necessary for producing
such events is not typically found over Europe.</p>
      <p>However, the result of a subsequent homogeneous ice nucleation event (a second
nucleation event after heterogeneous nucleation has already taken place) can be observed.
The liquid origin PSDs at 215 and 220 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> both show an
increased concentration of small particles around 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.
This feature can be traced back to a strong homogeneous ice nucleation
event that was sampled during the flight on 29 March.
Figure <xref ref-type="fig" rid="Ch1.F11"/> shows a time series of the PSDs observed by
the NIXE-CAPS during this flight.  Additional information concerning
temperature and pressure as well as RH (with respect to water and
ice) from the BAHAMAS and SHARC instruments, respectively, is also
presented.  Two passes into the homogeneous ice nucleation event were made
between 16:50 and 17:10, one at 215 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> followed by another at
220 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>.  High RH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>ice</mml:mtext></mml:msub></mml:math></inline-formula> up to 150 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as high as 5 <inline-formula><mml:math display="inline"><mml:mrow><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> were observed during
the event, which are both a good indication of homogeneous ice nucleation,
<xref ref-type="bibr" rid="bib1.bibx1" id="paren.44"><named-content content-type="pre">e.g.,</named-content></xref>.
As evidenced by the yellows and oranges,
there was an increase in the concentration of small particles
at these points, which is consistent with the increased concentrations
in the PSD in Fig. <xref ref-type="fig" rid="Ch1.F10"/>.</p>
      <p>It is also possible that subsequent homogeneous ice nucleation
contributed to the in situ origin cirrus, but such strong, visible
indications are not observed in the PSDs from ML-CIRRUS.  The high
concentrations of the smallest crystals seen at 210 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> in the
in situ origin cirrus (left panel, Fig. <xref ref-type="fig" rid="Ch1.F10"/>) are attributable
to aviation-induced cirrus, not homogeneous ice nucleation.  Overall, the
lower concentrations of ice crystals in the in situ origin cirrus
relative to the liquid origin cirrus are indicative that the number
of available IN might be lower <xref ref-type="bibr" rid="bib1.bibx19" id="paren.45"><named-content content-type="pre">see</named-content><named-content content-type="post">for more detailed discussion</named-content></xref>.
Furthermore, in cases of homogeneous ice nucleation,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is unlikely to be enhanced to the same degree as
was observed during the 29 March flight.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Time series example from flight on 29 March demonstrating the
observation of a homogeneous ice nucleation event in a liquid origin cirrus
cloud. The top panel of the figure shows the atmospheric data for the flight
– time (red), pressure (green), RH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>ice</mml:mtext></mml:msub></mml:math></inline-formula> (turquoise), and
RH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub></mml:math></inline-formula> (blue). The bottom panel shows the PSD observed by the
NIXE-CAPS (diameter is on the <inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis, time is on the <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis). The colors
indicate the concentration of particles (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>N</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>log⁡</mml:mi><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math display="inline"><mml:mrow><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>).</p></caption>
            <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f11.png"/>

          </fig>

      <p>The difference in sizes between the largest crystals observed in
each origin type is likely to be the result of the more desirable
growth conditions found in the mixed-phase regime (i.e., more water
vapor).  Also, it is possible for the ice crystals to continue
growing after arriving in the cirrus regime.  When the air parcel is
lifted already containing many large crystals, they will
continue to grow by diffusion, if the concentration is low and the
air is supersaturated, or by aggregation when the concentration is
high.  In comparison, in situ origin cirrus development essentially
starts from the beginning.  Cirrus clouds with a liquid origin have
a PSD to begin with and build upon.</p>
      <p>The classification of PSDs in this study by cirrus origin type is
something that has not been done before.  In addition,
many older measurements are influenced by shattering artifacts.
Furthermore, differences in instrumentation,
data processing/analysis techniques, and the conditions in which
observations were made also exist between data sets, thus making
it difficult to draw a good comparison between the PSDs presented in
Fig. <xref ref-type="fig" rid="Ch1.F10"/> and previous studies.</p>
      <p>Overall, the ice crystal concentrations in the PSDs from ML-CIRRUS are low throughout the sampled temperature range
relative to PSDs from other midlatitude observations made by, e.g., <xref ref-type="bibr" rid="bib1.bibx12" id="text.46"/>,
<xref ref-type="bibr" rid="bib1.bibx14" id="text.47"/>, and <xref ref-type="bibr" rid="bib1.bibx20" id="text.48"/>. In the case of
the <xref ref-type="bibr" rid="bib1.bibx14" id="text.49"/> measurements, two PSDs
that are provided in the analysis come from observations of convective
outflow (typical for that data set). In comparison to both the case of
in situ and liquid origin cirrus, the
concentrations from the convective case are higher, which is expected given
that this is not a dynamic situation that was observed
during ML-CIRRUS.</p>
      <p>The observations reported
in <xref ref-type="bibr" rid="bib1.bibx12" id="text.50"/> concerning the SPARTICUS campaign (also found in <xref ref-type="bibr" rid="bib1.bibx27" id="altparen.51"/>) result in
a similar findings, but is perhaps a more appropriate comparison since their
observations have been classified as either “synoptic” or “convective”.  The in situ
origin cirrus concentrations in our study are within the range of the synoptic
concentrations from SPARTICUS, but still consistently below the
median values for all temperatures. The comparison between the liquid
origin and convective cirrus shows better agreement between 219 and 233 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, but
is again lower for the warmer temperatures.  These differences could be attributed
to, (i) differences in the way that the data was categorized, or, (ii) differences in
the observed dynamics as noted earlier.  The difference in categorization could mean,
for example, that clouds we would classify as liquid origin (e.g., lee wave, warm
conveyor belt), which have the associated high IWC and high <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, are
being classified in <xref ref-type="bibr" rid="bib1.bibx12" id="text.52"/> as synoptic cirrus.  Another consistent and notable
feature from the SPARTICUS data in comparison to the PSDs shown here, are
the high concentrations of large particles, which was also not seen in ML-CIRRUS.</p>
      <p>A third comparison to a data set
from <xref ref-type="bibr" rid="bib1.bibx20" id="text.53"/> demonstrates an overall better comparison in regard
to ice crystal concentrations than the previous two.  In this case, the cirrus
observations only come from synoptically generated cirrus, but could also
be orographically enhanced.  It should be noted that the very high concentrations
of small particles in the <xref ref-type="bibr" rid="bib1.bibx20" id="text.54"/> PSDs are suggested to be the result of shattering,
and are therefore not considered in the comparison here.  In the three temperature
ranges (210–223,
224–233, and 234–243 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>), the median concentration
values in the lowest temperature range
in <xref ref-type="bibr" rid="bib1.bibx20" id="text.55"/> agree well with the in situ origin PSD from Fig. <xref ref-type="fig" rid="Ch1.F10"/>,
while the middle
and highest temperature range compare better to the liquid origin PSD.  Considering
the vertical distributions of in situ and liquid origin cirrus shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/> and
that it is possible for “synoptic” to include liquid origin cirrus, this result
is not surprising.  In general, the comparisons that we have made demonstrate
how using a formation-based classification versus the more traditional meteorology-based
ones can result in differences expressed in the PSDs.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Comparisons to MidCiX</title>
      <p>Despite having a clear picture of the properties associated with
the two cirrus origin types, there are questions concerning whether
they are also found in other locations and regions, i.e., how cirrus
produced by other meteorological situations (e.g., anvil outflow
cirrus) fit in to this classification scheme, and if the frequency
with which they occur is similar.  In an effort to begin exploring
this idea, we have compared the results from ML-CIRRUS to the data
from the Midlatitude Cirrus eXperiment (MidCiX), which took place
in the spring of 2004 and was based out of Houston, Texas.
Figure <xref ref-type="fig" rid="Ch1.F12"/> shows the relationships between IWC,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the same format as
Fig. <xref ref-type="fig" rid="Ch1.F8"/> for each campaign.  The top panel shows the
observations from the ML-CIRRUS campaign without any division
between in situ and liquid origin cirrus.  The bottom panel shows
data from the MidCiX campaign.  For this campaign, the IWC values
were measured by the Closed-path Laser Hygrometer (CLH) from the
University of Colorado <xref ref-type="bibr" rid="bib1.bibx6" id="paren.56"/>, while the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values come from
a different CAPS instrument, but they also cover a similar size range
as NIXE-CAPS. It is interesting to compare these two campaigns
because they are representative of different dynamics.  The MidCiX
campaign took place in the springtime when the large scale dynamics
in the US are shifting from the winter frontal systems to the
summer convective systems. As a result, this data set is
representative of cirrus stemming from jet streams, convection, and
closed low pressure systems.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Same as Fig. <xref ref-type="fig" rid="Ch1.F8"/> but for all 13 ML-CIRRUS flights (both
in situ and liquid origin; top) and MidCiX (bottom). The blank spaces between
sizes are due to the merged bins for MidCiX.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f12.png"/>

      </fig>

      <p><?xmltex \hack{\newpage}?>It can be seen in Fig. <xref ref-type="fig" rid="Ch1.F12"/> that there is
a difference in IWC, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
values.  The MidCiX IWC content values are much larger overall and
appear at larger <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> than in ML-CIRRUS.  Also,
these large IWC values are observed at both low and high
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.  From this comparison, we hypothesize, that
conditions with more prevalent convection will lead to more liquid
origin cirrus with higher IWC values.  However, the very high
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values reported by the CAPS could be an
overestimation caused by ice crystal shattering.  This data set has
not been corrected by an interarrival-time-based algorithm for such
features. Instead, the concentrations of the particles in the
overlapping ranges of the CAS and CIP probes incorporated into the
CAPS have been adjusted to each other <xref ref-type="bibr" rid="bib1.bibx19" id="paren.57"><named-content content-type="pre">see</named-content><named-content content-type="post">for more
details</named-content></xref>.  However, an overestimation of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> does not change the important message conveyed by
this comparison in regard to the high IWC and large
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values, the appearance of which should be
mostly unaffected by shattering.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><caption><p>Probability distribution of IWC as a function of temperature for
ML-CIRRUS. The size of the points represent the frequency of occurrence of
each value within a 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> temperature bin, similar to the data shown in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>. The colors represent the percentage by which each
point is more representative of in situ origin cirrus (greens) or liquid
origin cirrus (blues). The maximum, core max, median, and core min lines
(black) are from <xref ref-type="bibr" rid="bib1.bibx29" id="text.58"/>.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/16/5793/2016/acp-16-5793-2016-f13.png"/>

      </fig>

      <p>Unfortunately, due to the important small scale features in these
dynamic systems, the CLaMs-Ice model was unable to accurately
portray each MidCiX flight, and therefore, we do not currently have
the same information with respect to where the appropriate
divisions between in situ origin and liquid origin cirrus cases
should be.  Although we cannot demonstrate it in the current
analysis, we suspect that in MidCiX, and other campaigns sampling
from similar dynamics, the liquid origin cirrus clouds are more
prevalent relative to the in situ origin cirrus clouds than what is
observed in the ML-CIRRUS data set.  Further analysis and additional
data, which can be found in an upcoming analysis, are necessary to
answer this critical question.</p>
</sec>
<sec id="Ch1.S6">
  <title>Distribution of in situ and liquid origin cirrus</title>
      <p>The differences between the cirrus cloud origins that have been
described here offer new insights into how cirrus can be classified.
To demonstrate that two groups do in fact exist within one campaign
data set, Fig. <xref ref-type="fig" rid="Ch1.F13"/> shows the IWC-temperature
relationship from ML-CIRRUS.  Similar to Fig. <xref ref-type="fig" rid="Ch1.F6"/>,
the data are presented in 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> temperature bins and provide
information on the frequency with which each variable occurs within
a given temperature bin.  Furthermore, the percentage by which each
point is more representative of in situ origin cirrus (greens) or
liquid origin cirrus (blues) is also shown here.  The most frequent
observations at low IWC are at low temperatures and are
predominantly in situ origin cirrus while the most frequent
observations at warmer temperatures are predominantly liquid origin
cirrus and exhibit high IWC values.  There is an overlap region in
the mid-range temperatures where in situ origin cirrus becomes less
prevalent and liquid origin cirrus becomes increasingly dominant,
but there is still a distribution around the median fit line of the
IWC-T relationship.  It can be argued that at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>235</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> the
data will show 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">%</mml:mi></mml:math></inline-formula> liquid origin because we have selected
for it in the data processing, but this is not true for <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>235</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>.</p>
      <p>The emergence of two distinct groups of cirrus clouds is reminiscent
of the bimodal IWC distribution from <xref ref-type="bibr" rid="bib1.bibx22" id="text.59"/> mentioned in
the introduction, particularly since one group is more
representative of low IWC, while the other is more representative
high IWC.  Thus, after completing this analysis, we now hypothesize
that the two modes are the result of the presence of the two origin
types.  However, the heterogeneous and homogeneous ice nucleation
mechanisms are still highly influential in driving the microphysical
development of a cirrus cloud and will be discussed further in
future work.</p>
      <p>Finally, classifying the data in this way could be more accurate for
representing cirrus clouds in the climate system because it includes
the potential for also classifying the clouds according to their
radiative role.  The distribution shown in Fig. <xref ref-type="fig" rid="Ch1.F13"/>
appears very similar to what is shown in Fig. 11 in
<xref ref-type="bibr" rid="bib1.bibx19" id="text.60"/>.  Further analysis is planned to evaluate this as well.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The analysis presented here has expanded upon <xref ref-type="bibr" rid="bib1.bibx22" id="text.61"/>
and <xref ref-type="bibr" rid="bib1.bibx19" id="text.62"/> by showing that cirrus clouds can be
divided into two groups according to the origin of their ice
particles.  Here, we have used airborne, in situ observations of
IWC, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and ice crystal size from the 2014 ML-CIRRUS
campaign to demonstrate clear differences between the microphysical
properties of each origin type.  Notably, we demonstrate that
observations of high IWC and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values in combination
with large crystals are found in the liquid origin cirrus type.
The highest frequency IWC values for in situ origin cirrus were
observed to be between 1 and 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>, while they were
10–100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> in the liquid origin cirrus.  The
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values appear to be similar between the origin
types, but median values demonstrate that there is a difference.
Using the modal <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> value for midlatitude cirrus
(0.1 <inline-formula><mml:math display="inline"><mml:mrow><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>) as a guideline, it was found that median
values of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for in situ cirrus are distributed
around this value, but liquid origin cirrus clouds are above it.
Similar to IWC, ice crystal size (both <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) proved to also show distinct differences
dependent on origin.  <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the in situ origin
clouds had median values that were mostly less than 200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m with the largest particles reaching sizes of
550 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.  Ice crystals in the liquid origin cirrus had median
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mtext>ice, mode</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values that were larger than the
200 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m guideline and even larger crystals of nearly
750 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m.</p>
      <p>PSDs in 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> temperature bins allowed a more in-depth look
at the details of the cloud structures based on the different
populations of ice crystals and how they change with temperature.
Once again, it was clear that differences exist between the
concentrations and sizes of the particles.  In particular, as noted
throughout this analysis, the liquid origin cirrus could be
characterized by higher concentrations of particles and a size
range that is noticeably broader and containing larger crystals.
From this information combined with the existing knowledge
concerning the details of cloud development in the cirrus
environment versus lower in the atmosphere (mixed-phase regime), we
could infer the mechanisms and conditions that contributed
to create the PSD for each origin type.  This indicates that the
origin of the ice crystal matters and the influence of that origin
can be observed.  Moreover, an example was given demonstrating how
the PSD for a liquid origin cirrus cloud can continue to be built
upon through subsequent homogeneous ice nucleation after arriving in
the cirrus regime.</p>
      <p>The concept that the two different formation-based cirrus types have
different microphysical properties has been demonstrated based on
the observations from the midlatitude field campaign ML-CIRRUS.
However, this campaign may not be representative of the midlatitudes
as a whole.  The cloud observations mostly took place
in moderate updrafts, typical for the region over Europe that was
probed during the campaign.  A comparison between the results from
ML-CIRRUS and MidCiX provides evidence to suggest that different
dynamics will influence the relative frequency of occurrence of in situ
versus liquid origin cirrus.  Faster updrafts (e.g., convection)
will result in higher IWCs and a larger influence from liquid origin cirrus,
as demonstrated by the MidCiX data set.  One of the uncertainties
still existing within the work that is presented here is what the ratio of in situ
to liquid origin clouds is on a local or even global scale.  Thus, it would
be informative to also analyze additional data from locations such as North America
and Asia, where the dynamics are known to be more convective than
what is typically observed over Europe.</p>
      <p>The existence of these two cirrus groups also leads us to examine
how we define a cirrus cloud.   The major identifier of a cirrus
cloud is that it is composed solely of ice.  Other measurable
properties may be assigned to different cloud samples to tell us
more about the position, thickness, etc. of the cloud.  However, as
<xref ref-type="bibr" rid="bib1.bibx23" id="text.63"/> suggest, sub-classifications of cirrus based on
their ice content would be useful.  Information concerning the
origin of an ice crystal and how that influences the microphysical
properties of a cirrus cloud is something that moves our
understanding of cirrus in a direction that begins to provide
a more clear representation of the radiative role of cirrus clouds.
As stated by the 2013 IPCC report <xref ref-type="bibr" rid="bib1.bibx4" id="paren.64"/>, there
remains a very large uncertainty in the role of ice clouds in the
atmosphere.  Simply put, it is unclear whether ice clouds have
a warming or cooling effect on the atmosphere.  <xref ref-type="bibr" rid="bib1.bibx19" id="text.65"/>
suggest that in situ origin cirrus clouds may have the tendency
toward a cooling effect, while the thicker liquid origin clouds may
tend toward warming.  Future work is planned to address this topic.
While these clouds will be called “cirrus” in any case, the study
presented here demonstrates that a categorization scheme based on
the two origins is more appropriate for describing the variety of
cirrus clouds.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>The authors are grateful to the teams involved in the ML-CIRRUS and
MidCiX campaigns.  Specifically we acknowledge the coordinators:
Christiane Voigt, Andreas Minkin, and Ulrich Schumann for ML-CIRRUS
and Gerald Mace and Andy Heymsfield for MidCiX.  Funding was partly
provided by the DFG HALO-SPP ACIS project (KR 2957/1-1).  We would
also like to thank Martin Zöger for providing BAHAMAS and
SHARC data from ML-CIRRUS.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?> publication  were covered by a Research <?xmltex \hack{\newline}?> Centre of the Helmholtz Association.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: E. Jensen</p></ack><ref-list>
    <title>References</title>

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    <!--<article-title-html>The origin of midlatitude ice clouds and the resulting influence on their microphysical properties</article-title-html>
<abstract-html><p class="p">The radiative role of ice clouds in the atmosphere is known to be
important, but uncertainties remain concerning the magnitude and net
effects.  However, through measurements of the microphysical
properties of cirrus clouds, we can better characterize them, which
can ultimately allow for their radiative properties to be more
accurately ascertained.  Recently, two types of cirrus clouds differing by formation
mechanism and microphysical properties have been classified – in situ and
liquid origin cirrus.  In this study, we present observational evidence to show that two distinct
types of cirrus do exist.  Airborne, in situ measurements of cloud ice
water content (IWC), ice crystal concentration (<i>N</i><sub>ice</sub>), and
ice crystal size from the 2014 ML-CIRRUS campaign provide cloud
samples that have been divided according to their origin type.  The
key features that set liquid origin cirrus apart from the in situ
origin cirrus are higher frequencies of high IWC ( &gt; 100 ppmv), higher <i>N</i><sub>ice</sub> values, and larger ice
crystals.  A vertical distribution of <i>N</i><sub>ice</sub> shows that the
in situ origin cirrus clouds exhibit a median value of around
0.1 cm<sup>−3</sup>, while the liquid origin concentrations are
slightly, but notably higher.  The median sizes of the crystals
contributing the most mass are less than 200 µm for in situ
origin cirrus, with some of the largest crystals reaching
550 µm in size.  The liquid origin cirrus, on the other
hand, were observed to have median diameters greater than
200 µm, and crystals that were up to 750 µm.  An
examination of these characteristics in relation to each other and
their relationship to temperature provides strong evidence that these
differences arise from the dynamics and conditions in which the ice
crystals formed.  Additionally, the existence of these two groups in
cirrus cloud populations may explain why a bimodal distribution in the
IWC-temperature relationship has been observed.  We hypothesize that
the low IWC mode is the result of in situ origin cirrus and the high
IWC mode is the result of liquid origin cirrus.</p></abstract-html>
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