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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-26-7141-2026</article-id><title-group><article-title>Annual cycle of surface-coupling effects on Arctic mixed-phase clouds during MOSAiC</article-title><alt-title>Annual cycle of surface-coupling effects on Arctic mixed-phase clouds during MOSAiC</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Griesche</surname><given-names>Hannes J.</given-names></name>
          <email>griesche@tropos.de</email>
        <ext-link>https://orcid.org/0000-0001-8696-7359</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Engelmann</surname><given-names>Ronny</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4225-9961</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Radenz</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7771-033X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hofer</surname><given-names>Julian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6657-4072</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Althausen</surname><given-names>Dietrich</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2785-0788</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ansmann</surname><given-names>Albert</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5382-8440</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Barry</surname><given-names>Kevin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1896-1921</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Creamean</surname><given-names>Jessie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3819-5600</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jimenez</surname><given-names>Cristofer</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2776-0339</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Seifert</surname><given-names>Patric</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5626-3761</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Remote Sensing of Atmospheric Processes, Leibniz Institute for Tropospheric Research, Leipzig, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Atmospheric Science, Colorado State University, 1371 Campus Delivery, Fort Collins, Colorado, 80523-1371, United States of America</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Hannes J. Griesche (griesche@tropos.de)</corresp></author-notes><pub-date><day>26</day><month>May</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>10</issue>
      <fpage>7141</fpage><lpage>7163</lpage>
      <history>
        <date date-type="received"><day>17</day><month>November</month><year>2025</year></date>
           <date date-type="rev-request"><day>16</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>23</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>8</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Hannes J. Griesche et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026.html">This article is available from https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e170">Persistent mixed-phase clouds frequently occur in the Arctic and have significant impacts on the Arctic climate. The surface mixed-layer (SML) coupling status of these clouds impacts their microphysical properties. Here, the annual cycle of Arctic mixed-phase cloud ice-formation temperatures is presented for the Arctic ice-drift experiment Multidisciplinary drifting Observatory for the Study of Arctic Climate (MOSAiC) in 2019 and 2020. From October until March, no clouds with cloud minimum temperatures above <inline-formula><mml:math id="M1" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> were observed. From April to September, an increased fraction of ice-containing clouds was observed for clouds with minimum temperatures between <inline-formula><mml:math id="M3" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M4" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (between 40 % and 70 %). Between April and July, SML-coupled clouds with a minimum temperature above <inline-formula><mml:math id="M6" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> showed an enhanced fraction of ice-containing clouds, compared to decoupled clouds (2–3 times higher). Also, SML-coupled clouds were 2–4 times more likely to be observed during this period. In August <inline-formula><mml:math id="M8" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September the ratio of coupled-to-decoupled ice-containing clouds reduced to 1.3, due to a higher frequency of occurrence of ice-containing decoupled clouds. Using surface-based ice-nucleating particle (INP) measurements the observed phenomena could likely be attributed to the presence of INPs active above <inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> at the surface. Analysis of sea-ice concentration in the surrounding region, the distance to the ice edge, and back-trajectory residence time above sea ice supports this finding.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Bundesministerium für Forschung, Technologie und Raumfahrt</funding-source>
<award-id>N-2014-H-060_Dethloff</award-id>
<award-id>MOSAIC-FKZ 03F0915A</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Deutsche Forschungsgemeinschaft</funding-source>
<award-id>268020496 – TRR 172</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Alfred Wegener Institute Helmholtz Centre for Polar and Marine Research</funding-source>
<award-id>AFMOSAiC-1_00</award-id>
<award-id>AWI_PS122_00</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Horizon 2020</funding-source>
<award-id>654109</award-id>
</award-group>
<award-group id="gs5">
<funding-source>European Commission</funding-source>
<award-id>101137639</award-id>
</award-group>
<award-group id="gs6">
<funding-source>U.S. Department of Energy</funding-source>
<award-id>DE-SC0019745</award-id>
<award-id>DE-SC0022046</award-id>
<award-id>DE-AC05-76RL01830</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e265">Ice formation in mixed-phase clouds, clouds which consist of liquid-droplets and ice-crystals at the same time, plays a critical role in the complex processes which are modulating the cloud properties, precipitation formation, their radiative effect, and cloud lifetime <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx69" id="paren.1"><named-content content-type="pre">e.g.,</named-content></xref>. The phase partitioning in mixed-phase clouds is closely interlinked with turbulence, the humidity supply, and the availability of cloud-relevant aerosol particles, such as ice-nucleating particles (INPs) and cloud condensation nuclei (CCN) <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx54 bib1.bibx81" id="paren.2"/>. Ice formation in clouds in the so-called heterogeneous temperature regime, i.e., approximately down to <inline-formula><mml:math id="M11" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, is initiated by INPs <xref ref-type="bibr" rid="bib1.bibx44" id="paren.3"/>, a rare subset of all aerosol particles in the atmosphere. Observations as well as model studies showed that deviations in INPs and CCN concentrations have significant impact on the liquid- and ice-microphysical properties and thus the radiative effect of the cloud <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx80" id="paren.4"/>. Adding more CCN can decrease the droplet size, increase the liquid water path (LWP) and decrease the ice water path (IWP), while an increase in INPs can increase the IWP with decreasing LWP <xref ref-type="bibr" rid="bib1.bibx68" id="paren.5"/>. The Arctic ocean, with a strong dependence on the ice cover, is a source for moisture and heat, but also for aerosol particles, in the lower Arctic troposphere <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx104 bib1.bibx40 bib1.bibx85 bib1.bibx91" id="paren.6"/>. A factor that controls the relevance of these surface sources for cloud properties is the thermodynamic state of the lower troposphere, i.e., the coupling between cloud and surface <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx32 bib1.bibx34" id="paren.7"/>.</p>
      <p id="d2e309">The probability of INP activation depends on its composition and temperature, increasing with decreasing temperature. Dust particles are globally one of the most prominent INPs below <inline-formula><mml:math id="M13" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx88 bib1.bibx70 bib1.bibx56 bib1.bibx106" id="paren.8"/>. Above <inline-formula><mml:math id="M15" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, ice formation is usually associated with INPs containing biogenic material <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx39" id="paren.9"/>. In the Arctic, INPs can be advected into the Arctic via long-range transport or they originate from local sources, e.g., sea spray aerosol, local dust emissions from glacial outwash, or local primary biological activity <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx84 bib1.bibx92 bib1.bibx102 bib1.bibx14 bib1.bibx4 bib1.bibx112" id="paren.10"/>. Highly active INPs have been found close to melting sea ice and in melt water samples <xref ref-type="bibr" rid="bib1.bibx113 bib1.bibx47 bib1.bibx114 bib1.bibx67" id="paren.11"/>, in airborne samples collected over polynyas <xref ref-type="bibr" rid="bib1.bibx37" id="paren.12"/>, as well as close to the North Pole <xref ref-type="bibr" rid="bib1.bibx79" id="paren.13"/>. <xref ref-type="bibr" rid="bib1.bibx16" id="text.14"/> presented the annual cycle of surface INP concentrations in the high Arctic ocean from the Multidisciplinary drifting Observatory for the Study of Arctic Climate (MOSAiC) expedition and highlighted a maximum of INPs active above <inline-formula><mml:math id="M17" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during summer. During winter and spring, the dominating INP sources were long-range transported, while during the melt season in summer biogenic particles likely originated from more local sources. Still, biogenic material was found in the INP samples throughout the whole year <xref ref-type="bibr" rid="bib1.bibx6" id="paren.15"/>. Based on ship-based lidar observations made during MOSAiC, <xref ref-type="bibr" rid="bib1.bibx4" id="text.16"/> presented an annual cycle of aerosol optical properties and CCN and INP concentrations in the boundary layer and the free troposphere. The INP concentrations were higher during summer and a shift of the dominating ice-forming particle type from dust particles in winter to sea spray aerosol in summer was identified. While recent work has started to evaluate in situ vertical distributions of INPs in the below- and in-cloud environment to directly assess what INPs may affect cloud ice formation, most measurements still occur at the surface which presents a disconnect in the often-stratified Arctic boundary layer <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx34 bib1.bibx79 bib1.bibx4 bib1.bibx78 bib1.bibx9" id="paren.17"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e397">A significant feature of Arctic mixed-phase clouds is the formation of a shallow liquid-dominated layer at cloud top. Strong radiative cooling at cloud top drives convection within the cloud <xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx101 bib1.bibx24 bib1.bibx63" id="paren.18"/>, initiating feedback loops, e.g,. via continuous droplet formation, that help to maintain the cloud <xref ref-type="bibr" rid="bib1.bibx69" id="paren.19"/>. This convection can generate an exchange of the cloud with a mixed-layer below cloud base <xref ref-type="bibr" rid="bib1.bibx10" id="paren.20"/>. If this cloud mixed-layer (CML) reaches the turbulent surface mixed-layer (SML), surface properties may influence the cloud properties by acting as source of moisture and cloud-relevant aerosol particles <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx32 bib1.bibx34 bib1.bibx81" id="paren.21"/>. Using radiosonde and tethered ballon profiles, <xref ref-type="bibr" rid="bib1.bibx1" id="text.22"/> showed that under cloudy conditions the SML usually is deeper. The CML and the SML together are denoted here as planetary boundary layer (PBL), which is usually capped by a temperature inversion, most of the time located at cloud top <xref ref-type="bibr" rid="bib1.bibx10" id="paren.23"/>. Above Arctic mixed-phase clouds specific humidity inversions were regularly observed, which can serve as additional resupply for moisture via cloud top entrainment <xref ref-type="bibr" rid="bib1.bibx86 bib1.bibx71 bib1.bibx25" id="paren.24"/>. Also, cloud relevant particles in the free troposphere, e.g., from long-range transport can be entrained downward into the PBL <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx94" id="paren.25"/>. <xref ref-type="bibr" rid="bib1.bibx52" id="text.26"/> showed that ice formation in free-tropospheric Arctic mixed-phase clouds is dominated by immersion freezing. Due to persistent observed droplet formation, the authors concluded that the free Arctic tropospheric CCN and INP reservoir is unlikely to be depleted, and the dissipation of the observed clouds was rather due to insufficient water vapor supply. <xref ref-type="bibr" rid="bib1.bibx93" id="text.27"/> analyzed radiosonde data during MOSAiC and found in 73 % of the profiles a liquid-containing cloud layer. In about 51 % of the profiles the authors reported multiple liquid-containing cloud layers.</p>
      <p id="d2e431">Substantial research has been conducted on the influence of the coupling between the CML and SML on mixed-phase cloud properties. <xref ref-type="bibr" rid="bib1.bibx53" id="text.28"/> analyzed MOSAiC radiosonde profiles and found stronger tropospheric stability during winter and spring, and least stability during fall. During summer they observed similar occurrences of both cases, strong stability and weak stability. The authors hypothesized that a stronger stability may lead to more decoupled cases, while a weaker stability supports SML-coupling. <xref ref-type="bibr" rid="bib1.bibx15" id="text.29"/> used tethered balloon observations to investigate the vertical aerosol distribution in the Arctic PBL. The authors found, that only in 14 % of the analyzed profiles, the aerosol particles were uniformly mixed between the surface and the cloud base. Using INP filter samples and trajectory analysis, <xref ref-type="bibr" rid="bib1.bibx74" id="text.30"/> showed for two pre-Alpine sites, one in the free troposphere, one in the PBL, that the resupply of INPs from the free troposphere may be limited due to the stability at the top of the PBL. The INP concentration in the free troposphere was higher, compared to the one in the PBL. Using ground-based remote sensing at the Arctic site Ny-Ålesund, Svalbard, <xref ref-type="bibr" rid="bib1.bibx32" id="text.31"/> observed enhanced liquid water path (LWP) in coupled clouds. Based on a combination of ground-based remote sensing, radiosonde profiles, and satellite-based sea-ice information, <xref ref-type="bibr" rid="bib1.bibx83" id="text.32"/> showed that the water vapor transport (WVT) from sea-ice leads influences the cloud properties. Clouds coupled to the WVT from sea ice leads in the central Arctic, i.e., when the maximum of the vertical gradient of WVT was located within the CML, showed a larger liquid fraction, lower cloud base, and a larger vertical extend <xref ref-type="bibr" rid="bib1.bibx83" id="paren.33"/>. <xref ref-type="bibr" rid="bib1.bibx75" id="text.34"/> found an increased ice-crystal number concentration in clouds that have been observed over the Arctic sea-ice, compared to clouds above the open ocean, based on 10 years of satellite remote sensing. Above both surface types the ice-crystal numbers were increased, when only coupled clouds were considered. <xref ref-type="bibr" rid="bib1.bibx34" id="text.35"/> analyzed ship-based remote sensing of clouds from a two month expedition in the high Arctic. The authors showed, if clouds were thermodynamically coupled to the surface, they contained ice more frequently, especially at temperatures above <inline-formula><mml:math id="M19" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. They argued that this phenomenon is likely due to a local source of INPs containing biogenic material, which were transported into the clouds when the PBL was well mixed. Such biogenic material can include, among others, polysaccharides and proteins emitted from the ocean. Marine polysaccharides, in particular, have recently been shown to act as efficient ice-nucleating molecules <xref ref-type="bibr" rid="bib1.bibx39" id="paren.36"/> and to reach high altitudes up to the free troposphere, as demonstrated by a recent balloon study in Ny-Ålesund <xref ref-type="bibr" rid="bib1.bibx115" id="paren.37"/>. Yet, there are still missing links between cloud relevant particles, the surface, and clouds. INP measurements are limited in the Arctic and still often surface-based, profiles are even more sparse. It is not entirely clear how and under which circumstances the observed INP load actually may impact cloud properties. Also the responses of the PBL and of clouds to the changing surface conditions in the Arctic are not yet fully determined.</p>
      <p id="d2e484">Riming, ice-crystal and liquid-droplet collision, as well as aggregation, ice-crystal and ice-crystal collision, are two major contributors to the ice mass in Arctic mixed-phase clouds <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx66" id="paren.38"/>. Using ground-based remote sensing of clouds at Ny-Ålesund, Svalbard, <xref ref-type="bibr" rid="bib1.bibx12" id="text.39"/> identified turbulence as a relevant factor for aggregation and riming of ice particles between <inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 and <inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and argued that this also increases secondary ice production (SIP). SIP has been shown to play a substantial role in Arctic mixed-phase clouds by tethered-ballon borne observations made in Svalbard <xref ref-type="bibr" rid="bib1.bibx76" id="paren.40"/>. <xref ref-type="bibr" rid="bib1.bibx81" id="text.41"/> showed that gravity waves forced by the orography along the trajectory of the air mass, influence the ice occurrence at temperatures below <inline-formula><mml:math id="M24" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The occurrence of low-level clouds in the Arctic typically increases during spring time, which was, based on space-borne lidar observations, attributed to an enhanced fraction of liquid-containing mixed-phase clouds on the expense of pure-ice clouds <xref ref-type="bibr" rid="bib1.bibx61" id="paren.42"/>. Yet, certain aspects of some underlying mechanisms controlling Arctic mixed-phase clouds are still under discussion and models struggle, for example, to reproduce the observed cloud annual cycle, the relative distribution of liquid and ice, especially in low-level clouds, <xref ref-type="bibr" rid="bib1.bibx98 bib1.bibx110 bib1.bibx89" id="paren.43"/>, and the role of aerosol particles in Arctic cloud processes <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx58" id="paren.44"/>.</p>
      <p id="d2e551">The presented study is a follow up of <xref ref-type="bibr" rid="bib1.bibx34" id="text.45"/>, using an entire year of observations in the Arctic ocean. We use data from the year-long Arctic ice-drift expedition MOSAiC <xref ref-type="bibr" rid="bib1.bibx91" id="paren.46"/>. The MOSAiC expedition took place from September 2019 until October 2020 and aimed to observe a full annual cycle of the Arctic system. MOSAiC was based on the German icebreaker Polarstern, which was located in the central Arctic for the whole period, except for a small interruption end of May until beginning of June 2020, where the sea ice was left for a crew rotation. Continuous ground-based remote sensing from cloud radar and lidar was used to identify clouds and classify their phase and vertical extent <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx91 bib1.bibx36" id="paren.47"/>. By means of radiosonde profiles the SML-coupling state of the cloud and the cloud-minimum temperature were derived. Additionally, in situ observations of INPs, Hybrid Single-Particle Lagrangian Integrated Trajectory model <xref ref-type="bibr" rid="bib1.bibx97" id="paren.48"><named-content content-type="pre">HYSPLIT,</named-content></xref> back-trajectory analyses, and sea-ice conditions from satellite observations were used to constrain links between the coupling-state of the cloud and surface properties.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e571">Applied instruments and their specifications. <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> represents the respective applied frequency of the instrument and <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> the wavelength. <inline-formula><mml:math id="M28" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> indicates the measurement range and <inline-formula><mml:math id="M29" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> the precision of the measured quantity. <inline-formula><mml:math id="M30" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> specifies the respective temporal resolution and <inline-formula><mml:math id="M31" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> the vertical resolution.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Instrument</italic></oasis:entry>
         <oasis:entry colname="col2">Used quantity</oasis:entry>
         <oasis:entry colname="col3">Parameters and units</oasis:entry>
         <oasis:entry colname="col4">Resolution</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Type (instrument reference)</oasis:entry>
         <oasis:entry colname="col2">(dataset reference)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>Platform</italic></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Raman Lidar</italic></oasis:entry>
         <oasis:entry colname="col2">Attenuated backscatter</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 355, 532, 1064 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M35" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: 30 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Polly</mml:mi><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula><xref ref-type="bibr" rid="bib1.bibx28" id="paren.49"/></oasis:entry>
         <oasis:entry colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx30" id="paren.50"/>
                </oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M38" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: 0.1–20 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M40" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>: 7.5 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>OCEANET</italic></oasis:entry>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M42" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 10<sup>−5</sup> <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Volume depolarization ratio</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 355, 532 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx30" id="paren.51"/>
                </oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M48" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: 0.1–20 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M50" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 0.01</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Doppler cloud radar</italic></oasis:entry>
         <oasis:entry colname="col2">Radar reflectivity factor</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M52" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 35.5 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">GHz</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M54" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: 2 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KAZR <xref ref-type="bibr" rid="bib1.bibx59" id="paren.52"/></oasis:entry>
         <oasis:entry colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx62" id="paren.53"/>
                </oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M56" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: 0.18–18 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M58" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>: 30 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>AMF2</italic></oasis:entry>
         <oasis:entry rowsep="1" colname="col2"/>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M60" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 2 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">dBZ</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Hydrometeor vertical velocity</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M63" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 35.5 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">GHz</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx62" id="paren.54"/>
                </oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M65" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: 0.18–18 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M67" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 0.08 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Ice Spectrometer</italic></oasis:entry>
         <oasis:entry colname="col2">INP concentration</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M69" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: <inline-formula><mml:math id="M70" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27–0 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M72" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: 3 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">off-line <xref ref-type="bibr" rid="bib1.bibx17" id="paren.55"/></oasis:entry>
         <oasis:entry colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx41" id="paren.56"/>
                </oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M74" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 0.5–1 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>AMF2</italic></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Radiosonde</italic></oasis:entry>
         <oasis:entry colname="col2">Atmospheric pressure</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M76" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: surface to 3 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M78" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>: 1 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (launch at</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RS41 <xref ref-type="bibr" rid="bib1.bibx50" id="paren.57"/></oasis:entry>
         <oasis:entry rowsep="1" colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx22" id="paren.58"/>
                </oasis:entry>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M80" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 1 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M82" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">least every 6 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Polarstern helideck</italic></oasis:entry>
         <oasis:entry colname="col2">Atmospheric humidity</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M85" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: 0 %–100 %</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M86" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>: 5 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 5 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx22" id="paren.59"/>
                </oasis:entry>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M89" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 4 %</oasis:entry>
         <oasis:entry colname="col4">ascend speed</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Atmospheric temperature</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M90" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>: <inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>90–60 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">
                  <xref ref-type="bibr" rid="bib1.bibx22" id="paren.60"/>
                </oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M93" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>: 0.3 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M95" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 16 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Instrumentation</title>
      <p id="d2e1501">This study is based on a combination of ground-based remote sensing and different in situ measurements, which are summarized in Table <xref ref-type="table" rid="T1"/>.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Ground-based remote sensing</title>
      <p id="d2e1513">One of the remote-sensing facilities operated during MOSAiC was the OCEANET-Atmosphere (hereafter referred to as OCEANET) container from the Leibniz-Institute for Tropospheric Research TROPOS, Leipzig, Germany <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx36" id="paren.61"/>. The mobile platform OCEANET has previously been operated on different research vessels and earlier voyages <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx8 bib1.bibx33" id="paren.62"/>, and based for one year in Antarctica at the German Neumayer Station III <xref ref-type="bibr" rid="bib1.bibx82" id="paren.63"/>.</p>
      <p id="d2e1525">During MOSAiC, OCEANET comprised a multiwavelength depolarization Raman lidar <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Polly</mml:mi><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, two microwave radiometers, two disdrometers, as well as a terrestrial and a solar radiation sensor. <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Polly</mml:mi><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> measures elastic backscattered light at 355, 532, and 1064 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> with a complete overlap in 700 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx28" id="paren.64"/>. Additional near range receiver are included for 355 and 532 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> with a complete overlap in 120 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Raman-capabilities are implemented for, e.g., water vapor retrievals <xref ref-type="bibr" rid="bib1.bibx87" id="paren.65"/>. Finally, depolarization information was retrieved at 355 and 532 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. The measurement from <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Polly</mml:mi><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> were averaged to 30 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> profiles with a vertical resolution of 7.5 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1625">Another remote-sensing platform operated during the MOSAiC expedition was the Atmospheric Radiation Measurement (ARM) mobile facility 2 (AMF2) from the United States (US) Department of Energy. The AMF2 was equipped with, among others, different lidar and cloud radar systems, and a wind profiler. For this study the Ka-band ARM Zenith cloud radar (KAZR) was utilized, which operates at 35 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">GHz</mml:mi></mml:mrow></mml:math></inline-formula>. The KAZR was operated with a temporal resolution of 2 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> and a vertical resolution of 30 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The KAZR provided measurements of the radar reflectivity factor, the hydrometeor vertical velocity and the width of the Doppler spectrum.</p>
      <p id="d2e1653">The combined remote-sensing dataset was, for example, used to derive continuous, height-resolved cloud microphysical cloud properties for the entire MOSAiC year <xref ref-type="bibr" rid="bib1.bibx30" id="paren.66"/>, as described in <xref ref-type="bibr" rid="bib1.bibx35" id="text.67"/>, based on the synergistic instrument approach of Cloudnet <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx103" id="paren.68"/>. This dataset contains, among others, a pixel-based target classification of the cloud phase. The liquid-water detection within Cloudnet is based on the lidar measurements. The ice-detection is based on the temperature (no ice at <inline-formula><mml:math id="M110" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M111" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and a falling pixel identified by the cloud radar. See <xref ref-type="bibr" rid="bib1.bibx42" id="text.69"/> for more details on the Cloudnet target classification in general and <xref ref-type="bibr" rid="bib1.bibx36" id="text.70"/> for the MOSAiC Cloudnet data set.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1700">Summary of the approaches and thresholds for cloud property identification.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Cloud property</oasis:entry>
         <oasis:entry colname="col2">Criterion</oasis:entry>
         <oasis:entry colname="col3">Constrain</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Liquid-dominated layer base</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>nr,  liquid  base</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>nr,  liquid  layer  max</mml:mtext></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 0.06</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>nr,  liquid  layer  max</mml:mtext></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 1 <inline-formula><mml:math id="M115" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>nr,  liquid  base</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>nr,  liquid  base</mml:mtext></mml:msub><mml:mo>≤</mml:mo></mml:mrow></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>liquid  base</mml:mtext></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 120 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>liquid  base</mml:mtext></mml:msub><mml:mo>≤</mml:mo></mml:mrow></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry rowsep="1" colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>fr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">No liquid layer detected using <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>nr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>fr,  liquid  base</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>fr,  liquid  layer  max</mml:mtext></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 0.06</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>fr,  liquid  layer  max</mml:mtext></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 1 <inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mtext>fr,  liquid  base</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">250</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>fr,  liquid  base</mml:mtext></mml:msub><mml:mo>≤</mml:mo></mml:mrow></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>liquid  base</mml:mtext></mml:msub><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 120 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>liquid  base</mml:mtext></mml:msub><mml:mo>≤</mml:mo></mml:mrow></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ice identification</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col3">4 consecutive height bins</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Liquid-dominated layer identified</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cloud top height</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M134" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Connected to liquid layer base height</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Gap of 3 cloud radar range gates allowed</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Liquid-dominated layer identified</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cloud minimum temperature</oasis:entry>
         <oasis:entry colname="col2">Minimum <inline-formula><mml:math id="M135" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Between liquid layer base and cloud top</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Maximum time difference 6 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Liquid-dominated layer identified</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Decoupling height</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mtext>cumulative  mean</mml:mtext><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo mathvariant="italic">}</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>≥</mml:mo></mml:mrow></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Maximum time difference 6 <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Liquid-dominated layer identified</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coupled state</oasis:entry>
         <oasis:entry colname="col2">Liquid layer base height <inline-formula><mml:math id="M140" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> decoupling height</oasis:entry>
         <oasis:entry colname="col3">Decoupling height determined</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>INP data</title>
      <p id="d2e2302">In situ measurements were also performed with the AMF2 platform during MOSAiC. A filter sampler was installed approximately at 15 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above sea level for INP sampling. INP filters on Polarstern were changed roughly every 3 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> and were analyzed after the expedition at Colorado State University (CSU), US, using the Ice Spectrometer (IS). Details on the methodology and dataset can be found in <xref ref-type="bibr" rid="bib1.bibx6" id="text.71"/>. For INP sampling, 0.2 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> pore polycarbonate filters were used. Based on theoretical collection efficiencies <xref ref-type="bibr" rid="bib1.bibx96" id="paren.72"/>, it is assumed that the total suspended particulates were collected. The collection efficiency varies with size of the collected particles and has its minimum at about 0.1 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (about 80 %).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Radiosonde profiling</title>
      <p id="d2e2357">In situ profiles of thermodynamic state of the whole tropospheric column were derived using radiosondes, which were launched at least every 6 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> during the entire year. These profiles provide atmospheric pressure, humidity, and temperature up to the stratosphere.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methodology</title>
      <p id="d2e2377">To study the influence of cloud SML-coupling on the ice occurrence, a stepwise analysis of the data was performed. Initially, the remote-sensing data were checked for a liquid-dominated layer base. In case of a detected liquid-dominated layer base, the corresponding cloud phase (liquid-only or ice-containing), cloud top height, and cloud minimum temperature were determined. Finally, the respective SML-coupling state (coupled or decoupled) of the cloud was identified. The whole analysis was done on data averaged to the 30 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> resolution of the lidar data. The respective procedure is introduced in detail in the following subsections and all criteria and constraints are summarized in Table <xref ref-type="table" rid="T2"/>. Based on the results of the cloud identification, the fraction of ice-containing clouds was derived. Following <xref ref-type="bibr" rid="bib1.bibx88" id="text.73"/> the standard error <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> was calculated using

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M148" display="block"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>f</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msqrt><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        with <inline-formula><mml:math id="M149" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> the fraction of ice-containing clouds and <inline-formula><mml:math id="M150" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> the hours of clouds observations. The standard error is indicated in the statistics of fraction of ice-containing clouds as uncertainty bars.</p>
      <p id="d2e2445">The observations were analyzed for two months each, starting from October 2019 until end of September 2020, in order to retrieve sufficient statistics of the fraction of ice-containing clouds during the MOSAiC year. In Fig. <xref ref-type="fig" rid="F1"/> the respective parts of the MOSAiC expedition track for each 2-month period are highlighted. Finally, INP and back-trajectory analyses were done.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e2452">Track during the MOSAiC expedition (gray line). The different colored lines shows the part of the track Polarstern drifted during each 2-month period analyzed in Fig. <xref ref-type="fig" rid="F5"/>. The map was created with PyGMT <xref ref-type="bibr" rid="bib1.bibx100" id="paren.74"/>.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f01.jpg"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Liquid identification and cloud ice detection</title>
      <p id="d2e2474">The lidar, due to its sensitivity to the number of particles in a sample volume, was primarily used for the identification of liquid-dominated layers. Only liquid-dominated layer base heights higher than 120 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> were considered in the analysis, to account for the impact of the optical overlap of the lidar system on the signal profiles. The procedure for detecting liquid-dominated layers follows <xref ref-type="bibr" rid="bib1.bibx51" id="text.75"/>, which relied on normalized attenuated backscatter <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>norm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M153" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. To identify a liquid-containing cloud <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>norm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> should exceed a threshold of <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>norm,  max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M157" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.06. As in <xref ref-type="bibr" rid="bib1.bibx51" id="text.76"/>, a 5-bin smoothing was applied to minimize the effect of signal noise on the detection algorithm. This approach was developed for clouds in the free troposphere higher than 500 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, while this study focuses on low-level, SML-coupled clouds. Hence, additional constraining criteria were applied to the liquid-layer detection. The volume depolarization <inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M160" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> profiles were used to avoid misclassification of backscatter signals. For a liquid-containing cloud identification, <inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> should not exceed a value of 0.03. The additional criteria for the attenuated backscatter profile were as follows: The maximum of the attenuated backscatter <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> should exceed a value of 1 <inline-formula><mml:math id="M163" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and the signal should decrease by at least 85 % within 250 <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above the liquid-containing layer due to the strong attenuation by the droplets. The introduced liquid-layer detection approach was first applied to the near range channel of the <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Polly</mml:mi><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> system. If no liquid-containing layer was found in the near range data, the far range signal was analyzed.</p>
      <p id="d2e2657">For ice identification a threshold of <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M169" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03 was applied to the lidar volume depolarization ratio <inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was theoretically derived by considering the lowest detectable ice water content from a lidar of 10<sup>−6</sup> <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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> <xref ref-type="bibr" rid="bib1.bibx11" id="paren.77"/>. The detailed derivation of the threshold is outlined in Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>. Each depolarization ratio profile was screened for <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. For an ice-containing cloud, the depolarization ratio profile should exceed <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for at least 4 consecutive lidar height bins (<inline-formula><mml:math id="M176" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) below the liquid layer base. The cloud phase determination was done my means of the lidar, though the cloud radar is actually more sensitive to ice particles. However, the cloud radar has its lowest usable range gate in 180 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above the instrument.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Cloud top and minimum temperature, and surface mixed-layer coupling</title>
      <p id="d2e2790">The cloud top height was derived from the cloud radar reflectivity <inline-formula><mml:math id="M179" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> and was set to the highest altitude, where <inline-formula><mml:math id="M180" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> was continuously connected to the liquid-dominated layer base. To account for small inhomogeneities in the clouds, a gap of 3 cloud radar range gates (<inline-formula><mml:math id="M181" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 90 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) was allowed. The cloud minimum temperature was set to the lowest temperature between liquid-dominated base and cloud top from the closest radiosonde profile within 6 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of the observed cloud profile.</p>
      <p id="d2e2830">The SML-coupling was derived following <xref ref-type="bibr" rid="bib1.bibx32" id="text.78"/>, using the potential temperature <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> derived from measurements of the temporally closest radiosonde. The height where the difference between the cumulative mean of <inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> exceeded 0.5 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> was set as the respective decoupling height. If the decoupling height was below the liquid-dominated base, the cloud was considered as decoupled. A quasi constant <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> profile until cloud base and hence a decoupling height above the liquid-dominated base was classified as coupled. Same as for the cloud minimum temperature, only cases within 6 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> before or after a radiosonde launch were considered.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Fraction of ice-containing clouds</title>
      <p id="d2e2889">For each 2-months period between October 2019 and September 2020, the clouds were categorized by their cloud minimum temperature in temperature intervals, separated at <inline-formula><mml:math id="M190" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M191" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> [<inline-formula><mml:math id="M192" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>40, <inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35, <inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30, <inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25, <inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20, <inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15, <inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10, <inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5, <inline-formula><mml:math id="M200" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5, <inline-formula><mml:math id="M201" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.5, 0] <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. For the entire MOSAiC period, this analysis was done for all clouds. For the late spring and summer months, i.e., for April <inline-formula><mml:math id="M203" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May, June <inline-formula><mml:math id="M204" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July, and August <inline-formula><mml:math id="M205" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September, the clouds were further analyzed based on their coupling state.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>INP concentration</title>
      <p id="d2e3017">Surface-based INP filter measurements from CSU <xref ref-type="bibr" rid="bib1.bibx41" id="paren.79"/> were used to investigate a possible connection between elevated INP concentrations at the ground and ice formation in the clouds. INP filter collection and analysis is described in detail by <xref ref-type="bibr" rid="bib1.bibx6" id="text.80"/> and is only briefly outlined here. Filters were prepared and collected following ultraclean procedures to ensure sample integrity as described by <xref ref-type="bibr" rid="bib1.bibx5" id="text.81"/>. During MOSAiC, the sampling setup included a totalizing mass flow meter, vacuum pump, tubing, and precipitation shield. Filters were typically collected for 72 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, totaling to an average of 88 000 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">sL</mml:mi></mml:mrow></mml:math></inline-formula> (standard liters) of air per filter. After collection, filters were stored and shipped frozen until analysis at CSU.</p>
      <p id="d2e3045">For analysis, the CSU IS was used <xref ref-type="bibr" rid="bib1.bibx17" id="paren.82"><named-content content-type="pre">e.g.,</named-content></xref>. Particles were re-suspended from filters into 7–10 <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> of 0.1 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>-filtered deionized water in sterile 50 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> tubes and rotated for 20 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>in to ensure mixing. Each IS consists of two 96-well aluminum blocks encased by cold plates, with two instruments run in parallel. Aliquots of 50 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> were dispensed into four sterile 96-well polymerase chain reaction (PCR) plates using up to five 11–15-fold serial dilutions. Plates were sealed in the IS, purged with HEPA-filtered <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and cooled at 0.33 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> while freezing is recorded every 0.5 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The detection limit ranged from <inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27 to <inline-formula><mml:math id="M217" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> depending on the deionized water blanks. INP number concentrations were calculated following <xref ref-type="bibr" rid="bib1.bibx105" id="text.83"/> from the fraction of frozen droplets, volume of sample suspension, and total air volume filtered.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Trajectory analysis</title>
      <p id="d2e3174">Back-trajectories were calculated using the transport and dispersion model HYSPLIT <xref ref-type="bibr" rid="bib1.bibx97" id="paren.84"/>. 5 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> trajectories were initialized every hour at the liquid-dominated base of the analyzed clouds.  The back-trajectories were used to derive the residence time above sea ice for the observed clouds, calculated as the time between observation and ice edge. The ice edge is defined as SIC below 50 % in a 50 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius around the trajectory location or if within the 50 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius 50 % of the area was above land.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Sea ice properties</title>
      <p id="d2e3212">To investigate the influence of different sea ice conditions on the cloud properties the sea ice concentration (SIC), the lead fraction, and melt-pond fraction were analyzed. The SIC was derived from the satellite-based merged MODIS and AMSR2 dataset with a resolution of 1 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the University of Bremen <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx65" id="paren.85"/>. During the MOSAiC period, this dataset, however, is only available until end of May 2020. Hence, from beginning of June 2020 SIC from the AMRS2 data <xref ref-type="bibr" rid="bib1.bibx95" id="paren.86"/> with a resolution of 3.125 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> was used. The lead fraction was taken from the satellite synthetic-aperture radar derived sea ice divergence based on Sentinel-1 data <xref ref-type="bibr" rid="bib1.bibx107" id="paren.87"/> as described in <xref ref-type="bibr" rid="bib1.bibx108" id="text.88"/>. Lead fraction data covers the period between October 2019 and May 2020, with a gap between 14 January and 15 March 2020 when Polarstern was north of the maximum latitude of Sentinel-1. The melt-pond fraction was obtained from the Ocean and Land Colour Instrument (OLCI) data on board the Sentinel-3 satellite as described in <xref ref-type="bibr" rid="bib1.bibx48" id="text.89"/>.</p>
      <p id="d2e3247">Both, SIC and lead fraction were derived within a radius of 50 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around Polarstern. The melt-pond fraction was derived in an area of 100 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> around Polarstern because the melt-pond data coverage is reduced in summer. Additionally, the melt pond fraction was only calculated if the coverage of valid data points within the 100 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius was above 10 %.</p>
</sec>
<sec id="Ch1.S3.SS7">
  <label>3.7</label><title>Eddy dissipation rates</title>
      <p id="d2e3283">Eddy dissipation rates (EDR) were derived based on the cloud radar hydrometeor vertical velocity, following <xref ref-type="bibr" rid="bib1.bibx33" id="text.90"/>. To estimate the EDR turbulence spectra from 5 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> cloud radar Doppler time series were used. If, in a log-log representation, the turbulence spectrum follows a <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> slope within its inertial subrange, the EDR <inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> was calculated using

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M230" display="block"><mml:mrow><mml:mi mathvariant="italic">ϵ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:msup></mml:mrow><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> the Kolmogorov constant and <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> the intercept of the of the linearized fit within the inertial subrange. Deviations up to 20 % of the <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> slope (i.e., <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>) were accepted.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e3426">Overview of the MOSAiC expedition period. Panel <bold>(a)</bold> shows the theoretical daylight fraction at the position of Polarstern (orange) and the observed daily averaged surface temperature (green). In panel <bold>(b)</bold> daily averages of the surface wind (purple) and Polarstern latitude (dark green) are depicted. Panel <bold>(c)</bold> highlights the sea ice fraction (dark blue: 50 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius), the melt pond fraction (cyan crosses: 100 <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius), and the lead fraction (green dots: 50 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> radius) around Polarstern. In addition, the concentration of INPs active at <inline-formula><mml:math id="M240" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> measured at the surface is depicted by the red bars. The red dotted line in panel <bold>(c)</bold> marks the 30th percentile of the INP concentrations. In panel <bold>(d)</bold> the time in hours the backward trajectories started at the liquid layer base needed to reach the ice edge is shown by the pink dots. The black line in panel <bold>(d)</bold> shows the minimum distance of Polarstern to the ice edge. The derived decoupling height (black) and daily averaged liquid layer base height (blue) are shown in panel <bold>(e)</bold>. The gray shaded period in each panel marks the period where Polarstern left the sea ice for a crew rotation between 2 June 2020 and 10 June 2020. The brown, blue, orange, green, red, and purple bars between the panels highlight the analyzed periods in Fig. <xref ref-type="fig" rid="F5"/>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Campaign overview of atmospheric and surface conditions</title>
      <p id="d2e3517">An overview of atmospheric and surface properties at the Polarstern site during MOSAiC is shown in Fig. <xref ref-type="fig" rid="F2"/>. Three distinct warm-air intrusions (WAI) can be identified in the temperature evolution (blue line in Fig. <xref ref-type="fig" rid="F2"/>a). The first WAI reached Polarstern during mid-end of November 2019, with temperatures at the surface above <inline-formula><mml:math id="M242" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The second WAI occurred mid-end of February 2020 with surface temperatures slightly below <inline-formula><mml:math id="M244" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and the last one during mid-end of April 2020 with temperatures close to 0 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx57" id="paren.91"/>. <xref ref-type="bibr" rid="bib1.bibx21" id="text.92"/> showed that the April WAI had a significant impact on the aerosol size distribution and chemical composition. The WAI introduced a change of the atmospheric aerosol conditions in the Arctic from a Arctic haze dominated state into a more polluted state. <xref ref-type="bibr" rid="bib1.bibx57" id="text.93"/> highlighted that the warm air during this WAI was advected via two different pathways. A first intrusion starting on 15 April originated in northwestern Russia and passed the Barents Sea, while the second intrusion starting on 18 April was advected via west of Svalbard. Filter samples collected subsequent to each WAI showed elevated INP concentrations, compared to filter samples collected before the WAI (red bars in Fig. <xref ref-type="fig" rid="F2"/>c).</p>
      <p id="d2e3580">From November 2019 until March 2020 the surface INP concentration shown in Fig. <xref ref-type="fig" rid="F2"/>c increased slowly from around 5 <inline-formula><mml:math id="M247" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> to around 1 <inline-formula><mml:math id="M249" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Between March 2020 and end of May 2020 the INP concentration was rather constant. Two filter samples stand out during this period, the first after the February WAI beginning of March and the one following the April WAI with values of 4 <inline-formula><mml:math id="M252" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> and 1 <inline-formula><mml:math id="M254" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−1</sup> <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. In June the INP concentration increased quickly from 1 <inline-formula><mml:math id="M257" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−2</sup> to up to 10 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> beginning of July, followed by a slow decrease again. Though, these measurements were the first ones reported for mid-winter for the central Arctic, other observations carried out at land-based stations or late-winter (March) were on the same order of magnitude close to 3 <inline-formula><mml:math id="M260" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx37" id="paren.94"/>. The summer-peak values during MOSAiC in early July were about one order of magnitude higher compared to simultaneously performed measurements at Zeppelin station on Ny-Ålesund <xref ref-type="bibr" rid="bib1.bibx6" id="paren.95"/>. At that time, there was a distance of about 450 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> between both sites.</p>
      <p id="d2e3772">The SIC remained close to 100 % with only minor variations until mid April 2020. In late April 2020 the SIC went occasionally down to less than 80 %, which was, however, attributed to wet snow rather than open water <xref ref-type="bibr" rid="bib1.bibx60" id="paren.96"/>. A rapid decrease of the SIC with values below 40 % was observed towards end of July 2020 when the ice floe reached the ice edge. With the relocation of Polarstern to a new floe mid of August 2020, the SIC in the vicinity of Polarstern increased again to around 100 %. The highest lead fraction in the vicinity of Polarstern was 10 % on 16 April 2020 during the April WAI. However, most of the time the lead fraction was below 2 %. The melt-pond fraction increased strongly from close to 0 % during mid of May 2020 to more than 40 % in August and September 2020. Rapid variability in the distance to the ice edge shown in panel (d) can be caused, for instance, by the opening of large leads or polynyas, as for example on 16 March 2020.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e3781">Ground-based remote sensing of lidar attenuated backscatter <bold>(a)</bold> and lidar volume depolarization <bold>(b)</bold>, cloud radar reflectivity factor <bold>(c)</bold>, and Cloudnet target classification <bold>(d)</bold> for the period of 18 April 2020 18:00 UTC to 19 April 2020 15:00 UTC. In all panels additionally the liquid-dominated layer base (purple line) is shown (a 7 bin smoothing was applied for clarity reasons). The light (coupled) and dark blue (decoupled) bars at the bottom of panel <bold>(a)</bold> show the respective coupling state. In panel <bold>(b)</bold> additionally the derived cloud phase depicted by the blue (ice-containing) and green (liquid) bars at the bottom. The red line in panel <bold>(c)</bold> and <bold>(d)</bold> shows the cloud top height and the gray bars at the bottom of panel <bold>(c)</bold> highlight periods where the cloud radar reflectivity factor met the theoretical threshold of lidar ice detection. In panel <bold>(d)</bold> the temperature is indicated by the dashed isotherms.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f03.png"/>

        </fig>

      <p id="d2e3821">The daily averaged liquid-dominated layer base height depicted by the blue line in Fig. <xref ref-type="fig" rid="F2"/> panel (e) showed a strong variability throughout the year. It was highest during winter and spring and lowest during early summer. In late summer mostly very low values were observed. The derived decoupling height (black line) is lower during winter and higher during summer. However, also during winter conditions where the clouds were coupled to the SML can be identified.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Case study: ice formation at temperatures just below <inline-formula><mml:math id="M264" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e3851">Figure <xref ref-type="fig" rid="F3"/> shows a case study of a persistent low-level stratus cloud observed above between 18 April 2020–18:00 UTC and 19 April 2020–15:00 UTC. This cloud occurred during the second intrusion of the April 2020 WAI, with air mass advection from the North Atlantic <xref ref-type="bibr" rid="bib1.bibx57" id="paren.97"/>. Within this cloud, ice formation at temperatures slightly below <inline-formula><mml:math id="M266" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was observed. The observed cloud was continuously below 1 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> height and identified as SML-coupled cloud, except for short periods on 19 April 2020, between 06:00 and 08:00 UTC and again between 11:00 and 14:00 UTC when some variations in the liquid-dominated layer base were observed. Ice-containing clouds were identified by enhanced depolarization values below the liquid-dominated layer base (purple line), as for example most of the time from 18 April 2020 23:00 UTC until 19 April 2020 08:00 UTC. In Fig. <xref ref-type="fig" rid="F3"/>c, those periods that revealed a cloud radar reflectivity and hence ice occurrence which was high enough to a produce a signal which should be detectable by the lidar are highlighted by the gray bars below the plot. The threshold reflectivity was derived based on the findings from <xref ref-type="bibr" rid="bib1.bibx11" id="text.98"/> and the IWC-<inline-formula><mml:math id="M269" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M270" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> relationship presented in <xref ref-type="bibr" rid="bib1.bibx43" id="text.99"/>. Note, however, that the lowest detection limit of the lidar is lower than the one from the cloud radar and that the lidar may also detect ice production below the lowest detection range of the cloud radar. Hence, there can be periods where the lidar identified an ice-containing cloud but the cloud radar reflectivity was actually below the limit for lidar-based ice detection. The radar reflectivity in Fig. <xref ref-type="fig" rid="F3"/>c reveals that the derived liquid-dominated layer base (purple line) was frequently below the lowest range gate of the cloud radar (e.g., on 19 April 2020 between 01:00 and 02:00 UTC and later on that day between 05:00 and 09:00 UTC and between 11:00 and 15:00 UTC).</p>
      <p id="d2e3909">Back-trajectories for the cloud depicted in Fig. <xref ref-type="fig" rid="F3"/> are shown in Fig <xref ref-type="fig" rid="F4"/>. Note, while an ensemble of 27 trajectories was initialized every hour, only one trajectory of the ensemble and only for every second hour is shown for clarity reasons. The respective location of each trajectory of the ensemble at the ice edge is marked in the same color as the trajectory. If the residence time above sea ice was less than 15 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> the location where the trajectory hit the ice edge was marked with a cross, when the residence time was more than 15 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> it was marked with a circle. The location where the single trajectory ensemble members reached the ice edge can vary and hence the derived residence time. For example, some of the trajectories initialized on 18 April 2020, 20:00 UTC (shown in purple) reached the ice edge in less than 15 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (indicated by the purple crosses), while other ensemble members needed more than 15 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (indicated by the purple circles).</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e3951">Back-trajectories for the cloud presented in Fig. <xref ref-type="fig" rid="F3"/>. For each member of the ensemble the location where the trajectory reached the ice edge is marked with a cross (less than 15 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> residence time) or a circle (more than 15 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> residence time). The background shows the sea ice concentration on 18 April 2020.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Fraction of ice-containing clouds</title>
<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Annual cycle</title>
      <p id="d2e3993">In Fig. <xref ref-type="fig" rid="F5"/> the fraction of ice-containing clouds as a function of their minimum temperature during the MOSAiC expedition for two months each is presented. The numbers above the plot indicate the hours of cloud observations used to derive the fraction of ice-containing clouds in the respective temperature interval during the 2-month periods in the same color codes. The errors bars show the statistical uncertainty as in <xref ref-type="bibr" rid="bib1.bibx88" id="text.100"/>.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e4003">Fraction of ice-containing clouds observed at different cloud minimum temperature intervals during the MOSAiC year. Each colored line represents a 2-month period and the black dashed line shows the fraction of ice-containing clouds observed over the Arctic ocean in summer 2017 <xref ref-type="bibr" rid="bib1.bibx34" id="paren.101"/>. The numbers above the plot highlight the hours of cloud observation used in the respective temperature interval in each 2-month period.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f05.png"/>

          </fig>

      <p id="d2e4015">In October <inline-formula><mml:math id="M277" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> November 2019 (brown) during 18 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observations and in December 2019 <inline-formula><mml:math id="M279" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> January 2020 (dark blue) during 2 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observations, clouds with a liquid-dominated layer and a cloud minimum temperature between <inline-formula><mml:math id="M281" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 and <inline-formula><mml:math id="M282" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> were observed, but no clouds at temperatures above <inline-formula><mml:math id="M284" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. In February <inline-formula><mml:math id="M286" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> March 2020 (light blue) no clouds with minimum temperatures above <inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> were detected. In April <inline-formula><mml:math id="M289" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May 2020 (green), an enhanced fraction of ice-containing clouds with a minimum temperature above <inline-formula><mml:math id="M290" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was observed, with a peak between <inline-formula><mml:math id="M292" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M293" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of 40 %. This peak corresponds to 27 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observation. The fraction of ice-containing clouds increased through June <inline-formula><mml:math id="M296" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July 2020 (yellow, 60 %, 46 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observation) until August <inline-formula><mml:math id="M298" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September 2020 (pink) with a distinct peak of about 70 % between <inline-formula><mml:math id="M299" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M300" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> cloud minimum temperature from 54 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observations. For each 2-month period between April and September, this peak is followed by a minimum between <inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 and <inline-formula><mml:math id="M304" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and then a steady increase with decreasing temperature close to 100 % of ice-containing clouds. These findings follow the results from <xref ref-type="bibr" rid="bib1.bibx34" id="text.102"/>, as indicated by the dashed black line in Fig. <xref ref-type="fig" rid="F5"/>.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS2">
  <label>4.3.2</label><title>Coupling effects</title>
      <p id="d2e4265">Figure <xref ref-type="fig" rid="F6"/> shows the same as Fig. <xref ref-type="fig" rid="F5"/> but for the months April <inline-formula><mml:math id="M306" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May , June <inline-formula><mml:math id="M307" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July , and August <inline-formula><mml:math id="M308" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September separated into coupled and decoupled clouds. The coupling analysis shows that the increased fraction of ice-containing clouds in April <inline-formula><mml:math id="M309" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May and June <inline-formula><mml:math id="M310" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July at low-supercooling temperatures can mostly be attributed to clouds coupled to the SML. In April <inline-formula><mml:math id="M311" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May and at cloud minimum temperatures between <inline-formula><mml:math id="M312" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M313" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, coupled clouds were observed during 22 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> and 45 % of the time these clouds were identified as ice-containing. Only during 5 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observation in April <inline-formula><mml:math id="M317" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May decoupled clouds were identified, with 20 % ice-containing. For June <inline-formula><mml:math id="M318" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July, decoupled clouds between <inline-formula><mml:math id="M319" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M320" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> were found to contain ice up to 25 % of the time, whereas 70 % of the coupled clouds in this temperature range were ice-containing. Decoupled clouds in June <inline-formula><mml:math id="M322" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July were observed during 11 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> and coupled clouds during 35 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. In August <inline-formula><mml:math id="M325" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September, the difference between coupled and decoupled clouds between <inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M327" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in terms of ice fraction but also in hours of observation changed, due to an increased fraction of decoupled ice-containing clouds. Under SML-coupled conditions, ice was found in 85 % of the clouds observed in August <inline-formula><mml:math id="M329" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September, which relates to 17 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observation. Decoupled situations were observed during 37 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> and in 65 % of the time ice-containing clouds were identified.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e4475">Same as Fig. <xref ref-type="fig" rid="F5"/> but only for April <inline-formula><mml:math id="M332" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May (light and dark green), June <inline-formula><mml:math id="M333" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July (light and dark yellow) and August <inline-formula><mml:math id="M334" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September (light and dark purple). The observations of each 2-month period are separated by their coupling state, with the continuous lines and darker colors showing the coupled cases and the dashed lines and lighter colors the decoupled ones.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f06.png"/>

          </fig>

      <p id="d2e4507"><xref ref-type="bibr" rid="bib1.bibx52" id="text.103"/> presented an overview of the cloud top temperature and the liquid-dominated base height for ice-containing and liquid-only clouds during MOSAiC. In their study, the authors included only clouds above 500 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which are referred to as free-tropospheric clouds. Figure <xref ref-type="fig" rid="F7"/> presents the cloud top temperature and the liquid-dominated base height of the free-tropospheric clouds for winter (October 2019–March 2020, Fig. <xref ref-type="fig" rid="F7"/>a and c) and summer (April 2020–September 2020, Fig. <xref ref-type="fig" rid="F7"/>b and d). In the summer months, free-tropospheric ice-containing clouds were only observed with a liquid-dominated layer base above 1000 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and below <inline-formula><mml:math id="M337" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The free-tropospheric liquid-only clouds, which were observed during winter at temperatures above <inline-formula><mml:math id="M339" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, were observed beginning of October 2019. At this time, the cloud radar data were not reliable <xref ref-type="bibr" rid="bib1.bibx36" id="paren.104"/>. Hence, this period was not considered in the statistics presented in Fig. <xref ref-type="fig" rid="F5"/>.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e4577">Histograms of liquid-dominated layer base height <bold>(a, b)</bold> and cloud top temperature <bold>(c, d)</bold> for free-tropospheric, and thus decoupled, clouds as in <xref ref-type="bibr" rid="bib1.bibx52" id="text.105"/> but separated for winter (October 2019–March 2020, panel <bold>a</bold> and <bold>c</bold>) and summer (April 2020–September 2020, panel <bold>b</bold> and <bold>d</bold>). Liquid-only clouds are in blue, and ice-containing clouds in pink.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f07.png"/>

          </fig>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4610">Histograms of liquid-dominated layer base height <bold>(a–c)</bold> and cloud minimum temperature <bold>(d–f)</bold> for April <inline-formula><mml:math id="M341" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May <bold>(a, d)</bold>, June <inline-formula><mml:math id="M342" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July <bold>(b, d)</bold>, and August <inline-formula><mml:math id="M343" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September <bold>(c, f)</bold>. Each histogram shows the distribution for coupled (darker colors) and decoupled (brighter colors) cases.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f08.png"/>

          </fig>

      <p id="d2e4656">To contrast the clouds analyzed in this study, which include clouds well below 500 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, with the findings from <xref ref-type="bibr" rid="bib1.bibx52" id="text.106"/> histograms of the cloud top temperature and the liquid-dominated base height for the coupled and decoupled clouds are shown in Fig. <xref ref-type="fig" rid="F8"/>. In August <inline-formula><mml:math id="M345" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September the decoupled clouds showed a much lower liquid-dominated layer base height, compared to June <inline-formula><mml:math id="M346" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July, with a clear maximum below 500 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The layer base height distribution for decoupled clouds in April <inline-formula><mml:math id="M348" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May is similar to the one for August <inline-formula><mml:math id="M349" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September. However, there is a strong difference in the cloud minimum temperature, with much colder temperatures in April <inline-formula><mml:math id="M350" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May, mostly below <inline-formula><mml:math id="M351" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, while the clouds in August <inline-formula><mml:math id="M353" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September were usually observed at <inline-formula><mml:math id="M354" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M355" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M356" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The free-tropospheric cloud statistics indicates that the decoupled, ice-containing clouds at <inline-formula><mml:math id="M358" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M359" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M360" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, e.g., in August <inline-formula><mml:math id="M362" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September, are mostly likely still influenced by surface processes and a clear separation from the surface is only reached in higher altitudes.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS3">
  <label>4.3.3</label><title>Surface INP concentrations</title>
      <p id="d2e4819">The surface INP measurements were used to identify days with enhanced INP concentration for INPs which activate ice formation at temperatures above <inline-formula><mml:math id="M363" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. To separate between high and low concentrations the 30th percentile of INP concentration active at <inline-formula><mml:math id="M365" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was used (<inline-formula><mml:math id="M367" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 6 <inline-formula><mml:math id="M368" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> N<sub>INP</sub> <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Clouds which were sampled during days with high INP concentration show an increased fraction of ice-containing clouds in the temperature interval between <inline-formula><mml:math id="M372" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M373" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (not shown). Those clouds, which were observed during days with enhanced INP concentration, were additionally separated by their coupling state. The respective fraction of ice-containing clouds is shown in Fig. <xref ref-type="fig" rid="F9"/>. SML-coupled clouds under high INP load (red) revealed an enhanced fraction of ice-containing clouds throughout the whole temperature range between <inline-formula><mml:math id="M375" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 and <inline-formula><mml:math id="M376" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> cloud minimum temperature, on average 21 % higher. The largest difference was found for clouds with a minimum temperature between <inline-formula><mml:math id="M378" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M379" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with 70 % of the coupled clouds were ice-containing, while only 35 % of the decoupled clouds. Clouds which were sampled during days with low INP concentrations showed lower fraction of ice-containing clouds at temperatures above <inline-formula><mml:math id="M381" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, independent of their coupling status.</p>

      <fig id="F9"><label>Figure 9</label><caption><p id="d2e5001">Same as Fig. <xref ref-type="fig" rid="F5"/> but distinguished between high (red and orange) and low  (light and dark blue) INP concentrations active at <inline-formula><mml:math id="M383" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M384" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M385" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The data were further separated by their coupling state. The red and dark blue shows data for surface coupled clouds and yellow and light blue for decoupled clouds.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f09.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS3.SSS4">
  <label>4.3.4</label><title>Trajectory residence times</title>
      <p id="d2e5051">Figure <xref ref-type="fig" rid="F10"/> shows the fraction of ice-containing clouds as a function of their cloud minimum temperature during the whole MOSAiC period, represented by the blue line in both panels. In each panel, additionally, the dataset separated by different trajectory residence times is presented. In Fig. <xref ref-type="fig" rid="F10"/>a the dataset was split for residence times below (red line) and above (yellow line) 15 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. This threshold was derived by a sensitivity study and was set to the time where the largest effect was found. Clouds corresponding to back-trajectories with shorter residence times to the ice edge (less or equal to 15 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) revealed an enhanced fraction of ice-containing clouds of 71 % between <inline-formula><mml:math id="M389" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M390" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> cloud minimum temperature during 32 <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> of observations. The fraction of ice-containing clouds with longer residence times was 58 %.  A contributor to the increased fraction of ice-containing clouds with shorter residence time could be a source of INPs close to the ice edge, e.g., in the marginal ice zone. The fraction of ice-containing clouds for residence times longer than 15 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> is hardly changed compared to the whole dataset. Note that the fraction of clouds with residence times shorter than 15 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> is rather small relative to the whole year of observation.</p>

      <fig id="F10"><label>Figure 10</label><caption><p id="d2e5125">Same as Fig. <xref ref-type="fig" rid="F5"/> but for the whole MOSAiC period (blue line in panel <bold>a</bold> and <bold>b</bold>). Panel <bold>(a)</bold> shows additionally the respective analysis separated for residence times shorter (red) or longer (yellow) than 15 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, and panel <bold>(b)</bold> the data separated for residence times shorter (red) or longer (yellow) than 96 <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. The dashed lines depict results based on single trajectories of the ensemble, the solid line shows the mean results from all trajectories.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f10.png"/>

          </fig>

      <p id="d2e5165">Residence times above sea ice of more than 3–4 <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> lead to a reduction of ice-containing clouds at temperatures below <inline-formula><mml:math id="M398" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, as shown in Fig <xref ref-type="fig" rid="F10"/>b, which contrasts the observations of clouds corresponding to times below (red) and above (yellow) 96 <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. Residence times shorter than 96 <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> increased the fraction of ice-containing clouds between <inline-formula><mml:math id="M402" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M404" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> by 14 % (22 % between <inline-formula><mml:math id="M406" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 and <inline-formula><mml:math id="M407" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25 <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). This is likely due to a depletion of long-range transported INPs, for example, via the sedimentation of a formed ice crystal. The distribution of ice-containing clouds above <inline-formula><mml:math id="M409" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, however, does not change for residence time below and above 96 <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>EDR analysis</title>
      <p id="d2e5306">EDR were used to investigate the influence of turbulence and thus SIP on ice occurrence. The EDR were analyzed following <xref ref-type="bibr" rid="bib1.bibx12" id="text.107"/>. For each time step EDR in log-scale from the uppermost 500 <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the cloud were averaged. In case of a cloud top height below 500 <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> or a shallower cloud, the EDR of the whole cloud column until cloud top was analyzed. The threshold used here to separate between high and low EDR cases differed slightly from those used in <xref ref-type="bibr" rid="bib1.bibx12" id="text.108"/>, since the EDR values of the clouds analyzed in this manuscript were mostly below 10<sup>−3</sup> <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</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> (upper threshold in <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.109"/>). We used the 90th (<inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mtext>log</mml:mtext><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mtext>EDR</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M417" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M418" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.57) and the 50th (<inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msub><mml:mtext>log</mml:mtext><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mtext>EDR</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M420" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M421" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.4) percentile of all mean EDR, to separate the EDR states. Yet, no influence of the EDR on the fraction of ice-containing clouds has been found (see Fig. <xref ref-type="fig" rid="FA3"/>).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e5435">Mean <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msub><mml:mtext>log</mml:mtext><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mtext>EDR</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the uppermost 500 <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (or subsection thereof in case of shallower clouds) of the clouds with cloud minimum temperature between <inline-formula><mml:math id="M424" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M425" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for each 2-months period analyzed in Fig.<xref ref-type="fig" rid="F6"/>, separated by their coupling state and phase. The EDR were calculated in <inline-formula><mml:math id="M427" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</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><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Cloud phase</oasis:entry>
         <oasis:entry colname="col2">Coupling state</oasis:entry>
         <oasis:entry colname="col3">April <inline-formula><mml:math id="M428" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May</oasis:entry>
         <oasis:entry colname="col4">June <inline-formula><mml:math id="M429" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July</oasis:entry>
         <oasis:entry colname="col5">August <inline-formula><mml:math id="M430" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Ice-containing</oasis:entry>
         <oasis:entry colname="col2">Coupled</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M431" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.34</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M432" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.49</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M433" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.45</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Decoupled</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M434" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.82</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M435" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.62</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M436" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.59</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Liquid-only</oasis:entry>
         <oasis:entry colname="col2">Coupled</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M437" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.8</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M438" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M439" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.26</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Decoupled</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M440" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M441" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.57</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M442" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.87</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e5713">The mean EDR values for coupled and decoupled clouds with temperatures between <inline-formula><mml:math id="M443" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M444" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in April <inline-formula><mml:math id="M446" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> May, June <inline-formula><mml:math id="M447" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July, and August <inline-formula><mml:math id="M448" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September contrasted for the different cloud phases are presented in Table <xref ref-type="table" rid="T3"/>. In general, the values are higher in case of a coupled cloud. However, in terms of cloud phase no clear picture was found. The highest EDR values were found in coupled liquid-only clouds in June <inline-formula><mml:math id="M449" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July (<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msub><mml:mtext>log</mml:mtext><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mtext>EDR</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M451" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M452" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.3). The lowest EDR values were found for decoupled ice-containing clouds in August <inline-formula><mml:math id="M453" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September (<inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msub><mml:mtext>log</mml:mtext><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mtext>EDR</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M455" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M456" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.59).</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d2e5851">The presented analysis reveals a strong influence of the SML-coupling on the probability of clouds observed between April and September with a minimum temperature above <inline-formula><mml:math id="M457" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to contain ice. From the numbers annotated above Fig. <xref ref-type="fig" rid="F5"/> it is clear that few cloud observations with cloud minimum temperature below <inline-formula><mml:math id="M459" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> contributed to the statistics for June <inline-formula><mml:math id="M461" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July and August <inline-formula><mml:math id="M462" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September. This is due to the fact that only the lowest liquid-containing cloud layer was analyzed. In case of multiple liquid-containing cloud layers, as it was regularly observed during MOSAiC <xref ref-type="bibr" rid="bib1.bibx93" id="paren.110"/>, the upper cloud was not included, as the lidar was already attenuated by the lower layer. This prevented the identification multiple liquid-dominated layers, which were, however, not the focus of this study. Also, no pure ice clouds were considered, as only clouds with a liquid-dominated layer were incorporated in the analysis. Another limiting factor was the relatively warm surface temperatures in July and August, often above 0 <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="F2"/>a), that caused many liquid-precipitating clouds. These clouds were removed from the analysis, as they would likely be miss-identified as pure liquid clouds by the analysis. Blowing snow was considered by removing periods with increased surface wind speed of higher than 15 <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Finally, all clouds that indicated potential seeder-feeder situations as described for example by <xref ref-type="bibr" rid="bib1.bibx73" id="text.111"/>, i.e., all clouds with a second cloud within 1 <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> above, were also removed from the dataset.</p>
      <p id="d2e5949">The observed results of a higher fraction of ice-containing clouds under SML-coupled situations at temperatures above <inline-formula><mml:math id="M466" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> from April until September is a strong indicator for the impact of locally produced INPs on the cloud properties. INPs that initiate ice formation at such warm temperatures usually contain biogenic material <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx39" id="paren.112"/>, which may come from the marginal ice zone, melt ponds, or polynyas <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx113 bib1.bibx37 bib1.bibx38 bib1.bibx67" id="paren.113"/>. <xref ref-type="bibr" rid="bib1.bibx16" id="text.114"/> and <xref ref-type="bibr" rid="bib1.bibx6" id="text.115"/> reported a maximum of INPs active above <inline-formula><mml:math id="M468" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> observed during MOSAiC between May and September at the surface. Under coupled situations these INPs likely got mixed into the low-level clouds and hence increased the ice occurrence in these clouds. This is supported by the strong influence of the coupling analysis on the fraction of ice-containing clouds on days where a high INP load active above <inline-formula><mml:math id="M470" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was sampled on the ground (and thus within the boundary layer). A combined temporal and coupling state (as in Fig. <xref ref-type="fig" rid="F6"/>) and INP-based analysis of the dataset was not possible. The data coverage would have been too sparse and the resulting uncertainty would dominate any finding. Additionally, a back-trajectory residence time above sea ice analysis revealed a decreased fraction of ice-containing clouds a temperatures below <inline-formula><mml:math id="M472" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> after 3–4 <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>. This can be caused, for example, by a depletion of INPs below <inline-formula><mml:math id="M475" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with time.</p>
      <p id="d2e6061">In August <inline-formula><mml:math id="M477" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September the decoupled clouds also showed a high fraction of ice-containing clouds. The applied coupling analysis only considers the state of the cloud at the time of observation. However, clouds which were identified as decoupled above Polarstern may have been coupled to the surface before. Also a weak exchange with the SML, not covered by the coupling approach, can introduce alternations of the cloud properties. The weak stability in fall during MOSAiC <xref ref-type="bibr" rid="bib1.bibx53" id="paren.116"/>, e.g., can support a mixing of locally produced INPs with biogenic material into the free troposphere, which would increase the availability of INPs active above <inline-formula><mml:math id="M478" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Contrasting the results of the boundary layer clouds presented in this manuscript with the free-tropospheric ones analyzed in <xref ref-type="bibr" rid="bib1.bibx52" id="text.117"/>, it was shown that the decoupled clouds in August <inline-formula><mml:math id="M480" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September were often observed at rather low altitudes and warm subzero temperatures, which increased the likelihood of a surface influence on these clouds (see Fig. <xref ref-type="fig" rid="F8"/>). Yet, increased long-range transport can also fill the respective INP reservoir in the free-troposphere. Even though Polarstern was located far in the north and even crossed the North Pole during August <inline-formula><mml:math id="M481" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September the probed air masses were associated with rather short residence times to the measurement site, often less than 4 <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>).</p>
      <p id="d2e6121">The applied lidar is less sensitive to ice detection as, for example, a cloud radar. The lidar was utilized due to its lower detection limit and the focus of this study, which are low-level clouds. However, the same analysis as presented in Sect. <xref ref-type="sec" rid="Ch1.S4.SS3.SSS1"/> and <xref ref-type="sec" rid="Ch1.S4.SS3.SSS2"/> was done using a cloud radar based cloud-phase separation approach. The Cloudnet target classification data was used to identify ice-containing clouds. The results for all clouds in each 2-month periods for the whole MOSAiC year is shown in Fig. <xref ref-type="fig" rid="FA2"/>. The results of the coupling-separated periods between April and September are shown in Fig. <xref ref-type="fig" rid="F11"/>. The higher sensitivity of the cloud radar to identify ice is striking. More ice-containing clouds were identified throughout all temperature intervals and under all coupling situations.  However, especially at temperatures above <inline-formula><mml:math id="M483" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, more hours of cloud observations were analyzed using the lidar approach, proving the necessity of its application.  Overall, the radar-based coupling analysis reveals the same pattern of more ice-containing clouds under surface coupled conditions, especially at temperatures above <inline-formula><mml:math id="M485" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, in all 2-months periods.</p>

      <fig id="F11"><label>Figure 11</label><caption><p id="d2e6170">Same as Fig. <xref ref-type="fig" rid="F6"/>  but using the cloud radar for phase separation.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f11.png"/>

      </fig>

</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e6189">In this study, the first annual cycle of heterogeneous ice-formation temperatures for Arctic mixed-phase clouds is presented for clouds observed during the MOSAiC year from 2019 to 2020, with a special focus on low-level clouds. It was shown that no cloud with minimum temperatures above <inline-formula><mml:math id="M487" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was observed from October to end of March. From April to September, a maximum of ice-containing clouds was found between <inline-formula><mml:math id="M489" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M490" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M491" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. This finding indicates an influence of biogenic material containing INPs, which are needed for ice formation at these temperatures. The presented results corroborate the findings from <xref ref-type="bibr" rid="bib1.bibx17" id="text.118"/> and <xref ref-type="bibr" rid="bib1.bibx6" id="text.119"/> who observed a peak in the INP number concentration during MOSAiC during summer.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e6242">Idealized summary of the observed mechanisms driving heterogeneous ice formation in Arctic low-level mixed-phase clouds at <inline-formula><mml:math id="M492" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M493" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M494" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M495" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during the MOSAiC expedition. The curved arrows indicate different relevant mixing mechanisms: entrainment from above (green), cloud mixing (red) and surface mixing (pink). Black arrows show potential pathways of INP supply in the boundary layer and free troposphere (long-range transport and local marine and sea ice melt emissions). In orange two example potential temperature (<inline-formula><mml:math id="M496" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>) profiles are shown, one for a coupled state (solid line) and one for a decoupled state (dashed line).</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f12.png"/>

      </fig>

      <p id="d2e6289">The most relevant processes identified in this study for low-level clouds to form ice at temperatures above <inline-formula><mml:math id="M497" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M498" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> are summarized in Fig. <xref ref-type="fig" rid="F12"/>. From October to March no clouds were observed above <inline-formula><mml:math id="M499" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M500" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Due to a sea-ice fraction of close to 100 %, absent melt ponds, and a very low lead fraction from late autumn to early spring, very few local sources of INPs can be expected during this time. However, this may change due to the changing Arctic, where the warming is most prominent in winter. From April to September, the dataset was separated by the cloud SML coupling state. The coupling of the cloud mixed layer (CML) to the surface mixed-layer (SML) was derived using the potential temperature profile from radiosonde measurements. A strong influence of the coupling state on the likelihood of clouds to contain ice at high ice-formation temperatures was found from April to July. Coupled clouds showed a 2–3 higher probability to contain ice at <inline-formula><mml:math id="M501" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M502" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M503" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M504" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> when the cloud was coupled to the SML in these months (up to 60 % fraction of ice-containing clouds). In August <inline-formula><mml:math id="M505" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September, the ratio of the fraction of coupled to decoupled ice-containing clouds decreased to 1.3 (85 % vs 65 % fraction of ice-containing clouds, respectively). Similarly, from April to July, clouds were more frequently observed as coupled at <inline-formula><mml:math id="M506" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M507" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M508" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, while in August <inline-formula><mml:math id="M510" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September, the clouds were more often identified as decoupled. The increased ice formation under SML-coupled situations was attributed to an increased availability of INPs that contained biogenic material in the SML, likely from local Arctic marine sources, such as the marginal ice zone. From April to September, the fraction of possible sources for such marine and sea ice melt INPs increased due to an increase in the lead and melt pond fraction and a decrease in sea-ice fraction with time. <xref ref-type="bibr" rid="bib1.bibx6" id="text.120"/> proved by means of heat treatments, that the INPs measured during the MOSAiC summer at the surface were almost entirely biological ones. The INPs can be mixed into the cloud if the CML, which is driven by convection from radiative cloud top cooling, reaches the SML.</p>
      <p id="d2e6410">It is likely that the decoupled clouds in August <inline-formula><mml:math id="M511" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September were still to a significant part influenced by surface processes. Weaker stability during fall may result in an increased exchange between the PBL and the free troposphere and hence a stronger transport of INPs from the surface to the free troposphere. The derived liquid-dominated layer heights were lower in August <inline-formula><mml:math id="M512" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September (mostly below 500 <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) compared to June <inline-formula><mml:math id="M514" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> July, resulting in more detected decoupled clouds in August <inline-formula><mml:math id="M515" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September. Additionally, the minimum temperature for the decoupled clouds in August <inline-formula><mml:math id="M516" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> September was rather high (mostly above <inline-formula><mml:math id="M517" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and hence ice-formation at relatively warm subzero temperatures was likely to be observed. Yet, an increased long-range transport of INP-carrying air masses could also be the cause of the observed phenomenon. For example, <xref ref-type="bibr" rid="bib1.bibx4" id="text.121"/> showed that the free tropospheric INP load at 2000 <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> during the MOSAiC expedition was dominated by continental particles throughout the year.</p>
      <p id="d2e6485">Heterogeneous ice-formation temperatures were linked to the INP load at the surface, using filter samples collected during MOSAiC and the coupling analysis. During days where the INP concentration active above <inline-formula><mml:math id="M520" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M521" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was above its 30th percentile (6 <inline-formula><mml:math id="M522" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="unit"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mi mathvariant="normal">INP</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the probability of SML-coupled clouds to contain ice at temperatures between <inline-formula><mml:math id="M525" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 and <inline-formula><mml:math id="M526" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> increased by more than 20 %. Between <inline-formula><mml:math id="M528" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 and <inline-formula><mml:math id="M529" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, for example, the fraction of ice-containing SML-coupled clouds during days with a high INP load active above <inline-formula><mml:math id="M531" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> was 70 %, while it was 35 % for decoupled clouds. Finally, residence times of trajectories initiated at the liquid-dominated layer base height were used to show that shorter times (<inline-formula><mml:math id="M533" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>) correspond to an increase in the fraction of ice-containing clouds for <inline-formula><mml:math id="M535" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.5 <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M537" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M538" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M539" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M540" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Residence times of more than 96 <inline-formula><mml:math id="M542" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> correspond to a decrease in the fraction of ice-containing clouds below <inline-formula><mml:math id="M543" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M544" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, indicating a depletion of INPs after 3–4 <inline-formula><mml:math id="M545" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>. No difference between longer or shorter residence times of 96 <inline-formula><mml:math id="M546" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> was observed for clouds with <inline-formula><mml:math id="M547" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M548" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M549" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M550" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. These findings support the hypothesis that locally produced INPs are a major driver of the enhanced ice occurrence at low-supercooling temperatures, while long-range transported INPs are dominating the ice-production below <inline-formula><mml:math id="M551" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 <inline-formula><mml:math id="M552" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e6773">The presented feature of increased ice formation at relatively warm subzero temperatures under SML-coupled situations in Arctic low-level mixed-phase clouds should be further analyzed, with a focus on contrasting Arctic and Antarctic cloud properties, given the recent changes also happening in Antarctica. Also, the development of the seasonal cycle should be investigated further. Under the changing conditions in the Arctic, clouds at warm subzero temperatures might be observed soon also in Arctic winter <xref ref-type="bibr" rid="bib1.bibx49" id="paren.122"/>. Additionally, the availability of sources may change under a warming Arctic. Even though a clear associative connection between surface-based measurements of INP concentrations and cloud ice-microphysics was established here, not all mechanisms at play could yet be quantified. Modeling results as well as observational datasets from field campaigns but also long-term records from land-based stations should be harvested to investigate this phenomenon in more detail. Finally, if sources at the surface play a significant role in the cloud microphysical properties, this should reflect on the radiative properties of the cloud. Hence, it is worth investigating whether clouds coupled to the SML have a different cloud radiative effect. In this regard, the new satellite mission EarthCARE <xref ref-type="bibr" rid="bib1.bibx109" id="paren.123"/> provides valuable opportunities.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Volume depolarization threshold for ice detection</title>
      <p id="d2e6793">To derive a lidar volume depolarization threshold for ice detection, a dependency of the IWC and the volume depolarization was derived. The extinction coefficient <inline-formula><mml:math id="M553" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> was calculated using the IWC-<inline-formula><mml:math id="M554" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M555" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> and the <inline-formula><mml:math id="M556" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M557" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>-<inline-formula><mml:math id="M558" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> relationships from <xref ref-type="bibr" rid="bib1.bibx43" id="text.124"/> with <inline-formula><mml:math id="M559" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula> as cloud radar reflectivity and <inline-formula><mml:math id="M560" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> as temperature. The extinction coefficient was converted to particle backscatter coefficient by applying a lidar ratio of 30 <inline-formula><mml:math id="M561" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">sr</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx2" id="paren.125"/>. Finally, from the particle backscatter coefficient, a molecular extinction coefficient derived following <xref ref-type="bibr" rid="bib1.bibx27" id="text.126"/> and <xref ref-type="bibr" rid="bib1.bibx99" id="text.127"/>, a molecular lidar ratio of <inline-formula><mml:math id="M562" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">8</mml:mn><mml:mi mathvariant="italic">π</mml:mi></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle></mml:math></inline-formula>, and an approximated molecular volume depolarization ratio of 0.01 <xref ref-type="bibr" rid="bib1.bibx7" id="paren.128"/>, the volume depolarization ratio was calculated based on <xref ref-type="bibr" rid="bib1.bibx31" id="text.129"/>. In Fig. <xref ref-type="fig" rid="FA1"/> the results are shown for <inline-formula><mml:math id="M563" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M564" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M565" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M566" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M567" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M568" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M569" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. From this relationship it was concluded that a distinct ice identification is only possible at a volume depolarization value above 0.03 (indicated by the dashed purple line). At <inline-formula><mml:math id="M571" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M572" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M573" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> this depolarization value corresponds to an IWC <inline-formula><mml:math id="M575" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8 <inline-formula><mml:math id="M576" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M578" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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> (blue vertical dashed line) and at <inline-formula><mml:math id="M579" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M580" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M581" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math id="M582" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to an IWC <inline-formula><mml:math id="M583" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4 <inline-formula><mml:math id="M584" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M586" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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> (orange vertical dashed line). Additionally, the IWC threshold of 10<sup>−6</sup> <inline-formula><mml:math id="M588" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from <xref ref-type="bibr" rid="bib1.bibx11" id="text.130"/> is indicated by the vertical red line.</p>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e7145">Theoretical derived volume depolarization – IWC dependency.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f13.png"/>

      </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e7156">Same as Fig. <xref ref-type="fig" rid="F5"/> but using the cloud radar for phase separation.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f14.png"/>

      </fig>

      <fig id="FA3"><label>Figure A3</label><caption><p id="d2e7170">Fraction of ice-containing clouds as a function of their minimum temperature during the MOSAiC expedition, separated for the mean EDR observed in the upper 500 <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the cloud.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/7141/2026/acp-26-7141-2026-f15.png"/>

      </fig>

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

      <p id="d2e7191">The lidar observations and the Cloudnet target classification is published in <xref ref-type="bibr" rid="bib1.bibx30" id="text.131"/>. The cloud radar data is published in <xref ref-type="bibr" rid="bib1.bibx62" id="text.132"/> (<ext-link xlink:href="https://doi.org/10.5439/1498936" ext-link-type="DOI">10.5439/1498936</ext-link>). The INP concentrations are available via <xref ref-type="bibr" rid="bib1.bibx41" id="text.133"/> and the radiosonde data via <xref ref-type="bibr" rid="bib1.bibx22" id="text.134"/> (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.961881" ext-link-type="DOI">10.1594/PANGAEA.961881</ext-link>). The SIC is published in <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx65" id="text.135"/> and is available at <uri>https://www.seaice.uni-bremen.de</uri> (last access: 20 May 2026), the lead fraction in <xref ref-type="bibr" rid="bib1.bibx107" id="text.136"/> (<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.963671" ext-link-type="DOI">10.1594/PANGAEA.963671</ext-link>), and the melt pond fraction is available via <xref ref-type="bibr" rid="bib1.bibx48" id="text.137"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7231">The paper was written and designed by HJG. The data analysis was performed by HJG, MR, AA, and PS. RE, HG, MR, JH, and DA took care of the lidar observations on board Polarstern during MOSAiC. JC, and KB performed the INP measurements and analysis. CJ conducted the free-tropospheric clouds analysis. All coauthors were actively involved in the extended discussions and the elaboration of the final design of the article.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7237">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Chemistry and Physics</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e7246">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e7252">We gratefully acknowledge the funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), within the Transregional Collaborative Research Center (TRR 172) “ArctiC Amplification: Climate Relevant Atmospheric and SurfaCe Processes, and Feedback Mechanisms <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="script">A</mml:mi><mml:mi mathvariant="script">C</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>”. Data used in this article were conducted as part of the international Multidisciplinary drifting Observatory for the Study of the Arctic Climate (MOSAiC). We would like to thank everyone who contributed to the measurements used here and to the logistical support during the 1-year MOSAiC expedition <xref ref-type="bibr" rid="bib1.bibx72" id="paren.138"/>. Radiosonde data were obtained through a partnership between the leading Alfred Wegener Institute, the Atmospheric Radiation Measurement user facility, a US Department of Energy facility managed by the Biological and Environmental Research Program, and the German Weather Service (DWD). We would like to thank the Polarstern crew for their perfect logistical support during the 1-year MOSAiC expedition.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7277">This research has been supported by the Bundesministerium für Forschung, Technologie und Raumfahrt (grant nos. N-2014-H-060_Dethloff and MOSAIC-FKZ 03F0915A), the Deutsche Forschungsgemeinschaft (grant no. 268020496 – TRR 172), the Alfred Wegener Institute Helmholtz Centre for Polar and Marine Research (grant nos. AFMOSAiC-1_00 and AWI_PS122_00), the European Union's Horizon 2020 Research and Innovation program ACTRIS-2 Integrating Activities (H2020-INFRAIA-2014–2015; grant agreement no. 654109), the European Union's Horizon Europe project CleanCloud (grant no. 101137639), and the U.S. Department of Energy Atmospheric Systems Research program (grant nos. DE-SC0019745 and DE-SC0022046) and Atmospheric Radiation Measurement user facility (grant no. DE-AC05-76RL01830).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7284">This paper was edited by Greg McFarquhar and reviewed by two anonymous referees.</p>
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