<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<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>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acp-12-1151-2012</article-id>
<title-group>
<article-title>Assessment of some parameterizations of heterogeneous ice nucleation in cloud and climate models</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Curry</surname>
<given-names>J. A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Khvorostyanov</surname>
<given-names>V. I.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Central Aerological Observatory, Dolgoprudny, Moscow Region, Russia</addr-line>
</aff>
<pub-date pub-type="epub">
<day>27</day>
<month>01</month>
<year>2012</year>
</pub-date>
<volume>12</volume>
<issue>2</issue>
<fpage>1151</fpage>
<lpage>1172</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.atmos-chem-phys.net/12/1151/2012/acp-12-1151-2012.html">This article is available from http://www.atmos-chem-phys.net/12/1151/2012/acp-12-1151-2012.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys.net/12/1151/2012/acp-12-1151-2012.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/12/1151/2012/acp-12-1151-2012.pdf</self-uri>
<abstract>
<p>Several different types of parameterization of heterogeneous ice nucleation
for cloud and climate models have been developed over the past decades,
ranging from empirically-derived expressions to parameterizations of ice
crystal nucleation rates derived from theory, including the parameterization
developed by the authors that includes simultaneous dependence on the
temperature and saturation ratio, hereafter referred to as KC.
Parameterizations schemes that address the
deliquescence-heterogeneous-freezing (DHetF), which combines the modes of
condensation freezing and immersion freezing, are assessed here in the
context of thermodynamic constraints, laboratory measurements, and recent
field measurements. It is shown that empirical schemes depending only on the
ice saturation ratio or only on temperature can produce reasonable crystal
concentrations, but ice crystal nucleation is thermodynamically prohibited
in certain regions of the temperature-saturation ratio phase space. Some
recent empirical parameterizations yield clouds that are almost entire
liquid at temperatures as low as −35 °C in contrast to cloud
climatology. Reasonable performance of the KC ice nucleation scheme is
demonstrated by comparison with numerous data from several recent field
campaigns, laboratory data, climatology of cloud phase-state. Several
mis-applications of the KC parameterization that appeared recently in the
literature are described and corrected. It is emphasized here that a correct
application of the KC scheme requires integration of the individual
nucleation rates over the measured size spectrum of ice nuclei that
represent a fraction or several fractions of the environmental aerosol with
specific ice nucleation properties. The concentration in these fractions can
be substantially smaller than that of the total aerosol, but greater than
the crystal concentration measured by an experimental device. Simulations
with temperature-dependent active site area or with several IN fractions
having different properties show that ice nucleation in the KC scheme occurs
in a wide temperature range of 10–20 °C, which depends on IN properties.
Simulation with a spectral bin model and correct application of KC scheme
adequately describes ice nucleation via the DHetF mode and yields crystal
concentrations and phase state close to those measured in the single-layer
stratocumulus cloud observed in the Mixed Phase Arctic Cloud Experiment
(MPACE). An assessment of some deficiencies in current parcel modeling
methods and cloud chamber observations and their impact on parameterization
development and evaluation is provided.</p>
</abstract>
<counts><page-count count="22"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Al-Naimi, R. and Saunders, C. P. R.: Measurements of natural deposition and condensation-freezing ice nuclei with a continuous flow chamber, Atmos. Environ., 19, 1871–1882, 1985. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Barahona, D. and Nenes, A.: Parameterization of cirrus formation in large scale models: Homogenous nucleation, J. Geophys. Res., 113, D11211, http://dx.doi.org/10.1029/2007JD009355doi:10.1029/2007JD009355, 2008. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Barahona, D. and Nenes, A.: Parameterizing the competition between homogeneous and heterogeneous freezing in cirrus cloud formation – monodisperse ice nuclei, Atmos. Chem. Phys., 9, 369–381, http://dx.doi.org/10.5194/acp-9-369-2009doi:10.5194/acp-9-369-2009, 2009. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Berezinsky, N. A. and Stepanov, G. V.: Dependence of natural ice-forming nuclei concentration of different size on the temperature and supersaturation, Izv. Acad. Sci. USSR, Atmos. Oceanic Phys., 22, 722–727, 1986. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Bigg, E. K.: The formation of atmospheric ice crystals by the freezing of droplets, Q. J. Roy. Meteor. Soc., 79, 510–519, 1953. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Borovikov, A. M., Gaivoronsky, I. I., Zak, E. G., Kostarev, V. V., Mazin, I. P., Minervin, V. E., Khrgian, A. Kh., and Shmeter, S. M.: Cloud Physics, Leningrad, Hydrometeoizdat, 1961, Transl. by Israel Program Scientif. Translation, US Dept. Commerce, Washington, DC, 459 pp., 1963. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Boville, B. A., Rasch, P. J., Hack, J. J., and McCaa, J. R.: Representation of clouds and precipitation processes in the Community Atmosphere Model version 3 (CAM3), J. Climate, 19, 2184–2198, 2006. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Chen, J.-P., Hazra, A., and Levin, Z.: Parameterizing ice nucleation rates using contact angle and activation energy derived from laboratory data, Atmos. Chem. Phys., 8, 7431–7449, http://dx.doi.org/10.5194/acp-8-7431-2008doi:10.5194/acp-8-7431-2008, 2008. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Comstock, J. M., Lin, R.-F., Starr, D. O&apos;C., and Yang, P.: Understanding ice supersaturation, particle growth, and number concentration in cirrus clouds, J. Geophys. Res., 113, D23211, http://dx.doi.org/10.1029/2008JD010332doi:10.1029/2008JD010332, 2008. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Cooper, W. A.: Ice initiation in natural clouds. In: Precipitation Enhancement – a scientific challenge, Meteor. Monogr., 21, Amer. Meteor. Soc., Boston, 29–32, 1986. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Cotton, W. R. and Anthes, R. A.: Storm and Cloud Dynamics, Academic Press, New York, 883 pp., 1989. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Cotton, W. R., Pielke Sr., R. A., Walko, R. L., Liston, G. E., Tremback, C. J., Jiang, H., McAnelly, R. L., Harrington, J. Y., Nicholls, M. E., Carrio, G. G., and McFadden, J. P.: RAMS 2001: Current status and future directions, Meteor. Atmos. Phys., 82, 5–29, 2003. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Curry, J. A.: Interactions among turbulence, radiation and microphysics in Arctic stratus clouds, J. Atmos. Sci., 43, 525–538, 1986. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Curry, J. A. and Webster, P. J.: Thermodynamics of Atmospheres and Oceans, Academic Press, London, 467 pp., 1999. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Curry, J. A., Meyer, F. G., Radke, L. F., Brock, C. A., and Ebert, E. E.: Occurrence and characteristics of lower tropospheric ice crystals in the Arctic, Int. J. Climatol., 10, 749–764, 1990. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Curry, J. A., Schramm, J., and Ebert, E. E.: Impact of clouds on the surface radiation budget of the Arctic Ocean, Meteorol. Atmos. Phys., 51, 197–217, 1993. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Curry, J. A., Rossow, W. B., Randall, D., and Schramm, J. L.: Overview of Arctic cloud and radiation properties, J. Climate, 9, 1731–1764, 1996. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Curry, J. A., Hobbs, P. V., King, M. D., Randall, D. A., Minnis, P., Isaac, G. A., Pinto, J. O., Uttal, T., Bucholtz, A., Cripe, D. G., Gerber, H., Fairall, C. W., Garrett, T. J., Hudson, J., Intrieri, J. M., Jacob, C., Jensen, T., Lawson, P., Marcotte, D., Nguyen, L., Pilewskie, P., Rangno, A., Rogers, D. C., Strawbridge, K. B., Valero, F. P. J., Williams, A. G., and Wylie, D.: FIRE Arctic Clouds Experiment, B. Am. Meteorol. Soc., 81, 5–29, 2000. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Dash, J. G., Fu, H., and Wettlaufer, J. S.: The premelting of ice and its environmental consequences, Rep. Progr. Phys., 58, 115–167, 1995. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Defay, R., Prigogine, I., and Bellemans, A.: Surface Tension and Absorption, Wiley, New York, 1966. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz DeMott, P. J., Rogers, D. C., Kreidenweis, S. M., Chen, Y., Twohy, C. H., Baumgardner, D., Heymsfield, A. J., and Chan, K. R.: The role of heterogeneous freezing nucleation in upper tropospheric clouds: Inferences from SUCCESS, Geophys. Res. Lett., 25, 1387–1390, 1998. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz DeMott, P. J., Cziczo, D. J., Prenni, A. J., Murphy, D. M., Kreidenweis, S. M., Thomson, D. S., Borys, R., and Rogers, D. C.: Measurements of the concentration and composition of nuclei for cirrus formation, P. Natl. Acad. Sci., 100, 14655–14660, 2003. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz DeMott, P. J., Prenni, A. J., Liu, X., Kreidenweis, S. M., Petters, M. D., Twohy, C. H., Richardson, M. S., Eidhammer, T., and Rogers, D. C.: Predicting global atmospheric ice nuclei distributions and their impacts on climate, P. Natl. Acad. Sci. USA, 107, 11217–11222, http://dx.doi.org/10.1073/pnas.0910818107doi:10.1073/pnas.0910818107, 2010. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Diehl, K. and Wurzler, S.: Heterogeneous drop freezing in the immersion mode: Model calculations considering soluble and insoluble particles in drops, J. Atmos. Sci., 61, 2063–2072, 2004. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Dufour, L. and Defay, R.: Thermodynamics of Clouds, Academic Press, New York, 1963. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz ECMWF-2007: European Centre for Medium Range Weather Forecast (ECMWF): IFS documentation cycle 31rl, Part IV: Physical processes, 155 pp., available at: http://www.ecmwf.int/research/ifsdocs/CY31r1/index.html, last access: 17 November 2009, 2007. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Eidhammer, T., DeMott, P. J., and Kreidenweis, S. M.: A comparison of heterogeneous ice nucleation parameterization using a parcel model framework, J. Geophys. Res., 114, D06202, http://dx.doi.org/10.1029/2008JD011095doi:10.1029/2008JD011095, 2009. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Fan, J., Ovtchinnikov, M., Comstock, J. M., McFarlane, S. A., and Khain, A.: Ice formation in Arctic mixed-phase clouds: Insights from a 3-D cloud-resolving model with size-resolved aerosol and cloud microphysics, J. Geophys. Res., 114, D04205, http://dx.doi.org/10.1029/2008JD010782doi:10.1029/2008JD010782, 2009. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Fletcher, N. H.: The Physics of Rainclouds, Cambridge University Press, Cambridge, UK, 390 pp., 1962. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Fletcher, N. H.: Active sites and ice crystal nucleation, J. Atmos. Sci., 26, 1266–1278, 1969. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Fridlind, A. M., Ackerman, A. S., McFarquhar, G., Zhang, G., Poellot, M. R., DeMott, P. J., Prenni, A. J., and Heymsfield, A. J.: Ice properties of single-layer stratocumulus during the Mixed-Phase Arctic Cloud Experiment: 2. Model Results, J. Geophys. Res., 112, D24202, http://dx.doi.org/10.1029/2007JD008646doi:10.1029/2007JD008646, 2007. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Gettelman, A., Morrison, H., and Ghan, S. J.: A new two-moment bulk stratiform cloud microphysics scheme in the Community Atmosphere Model, Version 3 (CAM3). Part II: Single-Column and Global Results, J. Climate, 21, 3660–3679, 2008. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Gierens, K.: On the transition between heterogeneous and homogeneous freezing, Atmos. Chem. Phys., 3, 437–446, http://dx.doi.org/10.5194/acp-3-437-2003doi:10.5194/acp-3-437-2003, 2003. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Gultepe, I., Isaac, G., Judak, D., Nissen, R., and Strapp, J. W.: Dynamical and microphysical characteristics of Arctic clouds during BASE, J. Climate, 13, 1225–1254, 2000. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Heymsfield, A. J. and Sabin, R. M.: Cirrus crystal nucleation by homogeneous freezing of solution droplets, J. Atmos. Sci., 46, 2252–2264, 1989. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Hobbs, P. V.: Ice Physics, Clarendon Press, Oxford, 837 pp., 1974. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Hobbs, P. V. and Rangno, A. L.: Rapid development of high ice particle concentrations in small polar maritime cumuliform cloud, J. Atmos. Sci., 47, 2710–2722, 1990. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Huffman, P. J.: Supersaturation spectra of AgI and natural ice nuclei, J. Appl. Meteorol., 12, 1080–1082, 1973. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Huffman, P. J. and Vali, G.: The effect of vapor depletion on ice nucleus measurements with membrane filter, J. Appl. Meteorol., 12, 1018–1024, 1973. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Intrieri, J. M., Shupe, M. D., Uttal, T., and McCarty, B. J.: Arctic cloud statistics from radar and lidar at SHEBA, J. Geophys., Res., 107, 8030–8039, 2002. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Kärcher, B. and Lohmann, U.: A parameterization of cirrus cloud formation: Heterogeneous freezing, J. Geophys. Res., 108, 4402, http://dx.doi.org/10.1029/2002JD003220doi:10.1029/2002JD003220, 2003. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Kashchiev, D.: Nucleation: Basic Theory with Applications, Batterworth-Heineman, Oxford, 512 pp., 2000. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Kashchiev, D., Borissova, A., Hammond, R. B., and Roberts, K. J.: Effect of cooling rate on the critical undercooling for crystallization, J. Cryst. Growth, 312, 698–704, 2010. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khairoutdinov, M. F. and Khvorostyanov, V. I.: Mathematical modeling of an artificially induced by seeding decrease of the optical thickness of orographic clouds, Atmos. Optics, 3, 701–708, 1989. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I.: Mesoscale processes of cloud formation, cloud-radiation interaction and their modelling with explicit cloud microphysics. Review, Atmos. Res., 39, 1–67, 1995. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I and Curry, J. A.: A new theory of heterogeneous nucleation for application in cloud and climate models, Geophys. Res. Lett., 27, 4081–4084, 2000. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I. and Curry, J. A.: Thermodynamic theory of freezing and melting of water and aqueous solutions, J. Phys. Chem. A, 108, 11073–11085, 2004a. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I. and Curry, J. A.: The theory of ice nucleation by heterogeneous freezing of deliquescent mixed CCN. Part 1: Critical radius, energy and nucleation rate, J. Atmos. Sci., 61, 2676–2691, 2004b. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I. and Curry, J. A.: The theory of ice nucleation by heterogeneous freezing of deliquescent mixed CCN. Part 2: Parcel model simulation, J. Atmos. Sci., 62, 261–285, 2005. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I. and Curry, J. A.: Aerosol size spectra and CCN activity spectra: Reconciling the lognormal, algebraic, and power laws, J. Geophys. Res., 111, D12202, http://dx.doi.org/10.1029/2005JD006532doi:10.1029/2005JD006532, 2006. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I. and Curry, J. A.: Refinements to the Köhler&apos;s theory of aerosol equilibrium radii, size spectra, and droplet activation: Effects of humidity and insoluble fraction, J. Geophys. Res., 112, D05206, http://dx.doi.org/10.1029/2006JD007672doi:10.1029/2006JD007672, 2007. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I. and Curry, J. A.: Critical humidities of homogeneous and heterogeneous ice nucleation: inferences from extended classical nucleation theory, J. Geophys. Res., 114, D04207, http://dx.doi.org/10.1029/2008JD011197doi:10.1029/2008JD011197, 2009. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. and Sassen, K.: Towards the theory of homogeneous nucleation and its parameterization for cloud models, Geophys. Res. Lett., 25, 3155–3158, 1998. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I., Curry, J. A., Pinto, J. O., Shupe, M., Baker, B., and Sassen, K.: Modeling with explicit spectral water and ice microphysics of a two-layer cloud system of altostratus and cirrus observed during the FIRE Arctic Clouds Experiment, Special Issue, J. Geophys. Res., 106, 15099–15112, 2001. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I., Curry, J. A., Gultepe, I., and Strawbridge, K.: A springtime cloud over the Beaufort Sea polynya: Three-dimensional simulation with explicit spectral microphysics and comparison with observations, J. Geophys. Res., 108, 4296, http://dx.doi.org/10.1029/2001JD001489doi:10.1029/2001JD001489, 2003. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Khvorostyanov, V. I., Morrison, H., Curry, J. A., Baumgardner, D., and Lawson, P.: High supersaturation and modes of ice nucleation in thin tropopause cirrus: Simulation of the 13 July 2002 Cirrus Regional Study of Tropical Anvils and Cirrus Layers case, J. Geophys. Res., 111, D02201, http://dx.doi.org/10.1029/2004JD005235doi:10.1029/2004JD005235, 2006. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Klein, S., Fridlind, A., McCoy, R. B., McFarquhar, G., Menon, S., Morrison, H., Veron, D., Xie, S., Yio, J. J., and Zhang, M.: GCSS Polar Cloud WG SCM/CRM/LES Intercomparison Case 2004, ARM Mixed-Phase Arctic Cloud Experiment (M-PACE): 5–22 October 2004, available at: http://science.arm.gov/wg/cpm/scm/scmic5/, last access: 15 December 2009, 2006. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Klein, S. A., McCoy, R. B., Morrison, H., Ackerman, A. S., Avramov, A., de Boer, G., Chen, M., Cole, J. N. S., Del Genio, A. D., Falk, M., Foster, M. J., Fridlind, A., Golaz, J.-C., Hashino, T., Harrington, J. Y., Hoose, C., Khairoutdinov, M. F., Larson, V. E., Liu, X., Luo, Y., McFarquhar, G. M., Menon, S., Neggers, R. A. J., Park, S., Poellot, M. R., Schmidt, J. M., Sednev, I., Shipway, B. J., Shupe, M. D., Spangenberg, D. A., Sud, Y. C., Turner, D. D., Veron, D. E., von Salzen, K., Walker, G. K., Wang, Z., Wolf, A. B., Xie, S., Xu, K.-M., Yang, F., and Zhango, G.: Intercomparison of model simulations of mixed-phase clouds observed during the ARM Mixed-Phase Arctic Cloud Experiment. I. Single-layer cloud, Q. J. Roy. Meteor. Soc., 135, 979–1002, 2009. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Kondratyev, K. Ya., Ovtchinnikov, M. V., and Khvorostyanov, V. I.: Mesoscale model of mixed-phase cloud development with account for the interaction among optical, radiative and microphysical processes, Atmos. Optics, 3, 639–646, 1990a. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Kondratyev, K. Ya., Ovtchinnikov, M. V., and Khvorostyanov, V. I.: Modeling the evolution of optical, radiative and microphysical properties of the atmosphere after crystallization of cloudiness. Part I: Complete dispersal of the clouds, Atmos. Optics, 3, 647–654, 1990b. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Kondratyev, K. Ya., Ovtchinnikov, M. V., and Khvorostyanov, V. I.: Modeling the evolution of optical, radiative and microphysical properties of the atmosphere after crystallization of cloudiness. Part II: Restoration of the clouds after dispersal, Atmos. Optics, 3, 655–661, 1990c. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Korolev, A., Isaac, G., Cober, S. G., Strapp, J. W., and Hallett, J.: Microphysical characterization of mixed-phase clouds, Q. J. Roy. Meteor. Soc., 129, 19–38, 2003. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Landau, L. D. and Lifshitz, E. M.: Statistical Physics, Part 1, Pergamon Press, New York, 1980. </mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Lawson, R. P., Baker, B. A., Schmitt, C. G., and Jensen, T. L.: Overview of microphysical properties of summertime boundary layer clouds observed during FIRE.ACE, J. Geophys. Res., 106, 14989–15014, 2001. </mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Lin, R.-F., Starr, D. O&apos;C., DeMott, P. J., Cotton, R., Sassen, K., Jensen, E., Kärcher, B., and Liu, X.: Cirrus parcel model comparison project. Phase 1: The critical components to simulate cirrus initiation explicitly, J. Atmos. Sci., 59, 2305–2329, 2002. </mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Liu, X. and Penner, J.: Ice nucleation parameterization for global models, Meteorol. Zeitschr., 14, 499–514, 2005. </mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Liu, X., Penner, J. E., Ghan, S. J., and Wang, M.: Inclusion of ice microphysics in the NCAR Community Atmospheric Model version 3 (CAM3), J. Climate, 20, 4526–4547, 2007. </mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Lohmann, U. and Diehl, K.: Sensitivity studies of the importance of dust ice nuclei for the indirect aerosol effect on stratiform mixed-phase clouds, J. Atmos. Sci., 63, 968–982, 2006. </mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Marcolli, C., Gedamke, S., Peter, T., and Zobrist, B.: Efficiency of immersion mode ice nucleation on surrogates of mineral dust, Atmos. Chem. Phys., 7, 5081–5091, http://dx.doi.org/10.5194/acp-7-5081-2007doi:10.5194/acp-7-5081-2007, 2007. </mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz McFarquhar, G. M., Zhang, G., Poellot, M., Kok, G., McCoy, R., Tooman, T., Fridlind, A., and Heymsfield, A. J.: Ice properties of single-layer stratocumulus during the Mixed-Phase Arctic Cloud Experiment: 1. Observations, J. Geophys. Res., 112, D24201, http://dx.doi.org/10.1029/2007JD008633doi:10.1029/2007JD008633, 2007. </mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Meyers, M. P., DeMott, P. J., and Cotton, W. R.: New primary ice-nucleation parameterizations in an explicit cloud model, J. Appl. Meteor., 31, 708–721, 1992. </mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Möhler, O., Field, P. R., Connolly, P., Benz, S., Saathoff, H., Schnaiter, M., Wagner, R., Cotton, R., Krämer, M., Mangold, A., and Heymsfield, A. J.: Efficiency of the deposition mode ice nucleation on mineral dust particles, Atmos. Chem. Phys., 6, 3007–3021, http://dx.doi.org/10.5194/acp-6-3007-2006doi:10.5194/acp-6-3007-2006, 2006. </mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Morrison, H. and Gettelman, A.: A new two-moment bulk stratiform cloud microphysics scheme in the community atmosphere model, Version 3 (CAM3). Part I: Description and numerical tests, J. Climate, 21, 3642–3659, 2008. </mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Morrison, H. and Pinto, J. O.: Mesoscale modeling of springtime arctic mixed-phase stratiform clouds using a new two-moment bulk microphysics scheme, J. Atmos. Sci., 62, 3683–3704, 2005. </mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Morrison, H., Curry, J. A., and Khvorostyanov, V. I.: A new double-moment microphysics parameterization. Part 1: Description, J. Atmos. Sci., 62, 1665–1674, 2005. </mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Morrison, H., Pinto, J. O., Curry, J. A., and McFarquhar, G. M.: Sensitivity of modeled arctic mixed-phase stratocumulus to cloud condensation and ice nuclei over regionally varying surface conditions, J. Geophys. Res., 113, D05203, http://dx.doi.org/10.1029/2007JD009729doi:10.1029/2007JD009729, 2008. </mixed-citation>
</ref>
<ref id="ref77">
<label>77</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Morrison, H., McCoy, R. B., Klein, S. A., Xie, S., Luo, Y., Avramov, A., Chen, M., Cole, J. N. S., Falk, M., Foster, M. J., Del Genio, A. D., Harrington, J. Y., Hoose, C., Khairoutdinov, M. F., Larson, V. E., Liu, X., McFarquhar, G. M., Poellot, M. R., von Salzen, K., Shipway, B. J., Shupe, M. D., Sud, Y. C., Turner, D. D., Veron, D. E., Walker, G. K., Wang, Z., Wolf, A. B., Xu, K.-M., Yang, F., and Zhang, G.: Intercomparison of model simulations of mixed-phase clouds observed during the ARM Mixed-Phase Arctic Cloud Experiment. II. Multilayer cloud, Q. J. Roy. Meteor. Soc., 135, 1003–1019, 2009. </mixed-citation>
</ref>
<ref id="ref78">
<label>78</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Philips, V. T. J., DeMott, P. J., and Andronache, C.: An empirical parameterization of heterogeneous ice nucleation for multiple chemical species of aerosol, J. Atmos. Sci., 65, 2757–2783, 2008. </mixed-citation>
</ref>
<ref id="ref79">
<label>79</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Prenni, A. J., Harrington, J. Y., Tjernström, M., DeMott, P. J., Avramov, A., Long, C. N., Kreidenweis, S. M., Olsson, P. Q., and Verlinde, J.: Can ice-nucleating aerosols affect Arctic seasonal climate?, B. Am. Meteor. Soc., 88, 541–550, 2007. </mixed-citation>
</ref>
<ref id="ref80">
<label>80</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Pruppacher, H. R. and Klett, J. D.: Microphysics of Clouds and Precipitation, 2nd Edn., Kluwer, Dordrecht, The Netherlands, 997 pp., 1997. </mixed-citation>
</ref>
<ref id="ref81">
<label>81</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Rangno, A. L. and Hobbs, P. V.: Ice particle concentrations and precipitation development in small polar maritime cumuliform clouds, Q. J. Roy. Meteor. Soc., 117, 207–241, 1991. </mixed-citation>
</ref>
<ref id="ref82">
<label>82</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Rogers, D. C.: Field and laboratory studies of ice nucleation in winter orographic clouds, Ph.D. dissertation, Dept. Atmospheric Science, Univ. of Wyoming, Laramie, 161 pp., 1982. </mixed-citation>
</ref>
<ref id="ref83">
<label>83</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Rogers, D. C.: Development of a continuous flow thermal gradient diffusion chamber for ice nucleation studies, Atmos. Res., 22, 149–181, 1988. </mixed-citation>
</ref>
<ref id="ref84">
<label>84</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Sassen, K.: Ice nuclei availability in the higher tropospheric: implications of a remote sensing cloud phase climatology, in: Nucleation and Atmospheric aerosols, edited by: Fukuta, N. and Wagner, P., Deepak Publishing, Hampton, Virginia, 287–290, 1992. </mixed-citation>
</ref>
<ref id="ref85">
<label>85</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Sassen, K. and Benson, S.: Ice nucleation in cirrus clouds, A model study of the homogeneous and heterogeneous nucleation modes, Geophys. Res. Lett., 27, 521–524, 2000. </mixed-citation>
</ref>
<ref id="ref86">
<label>86</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Sassen, K. and Dodd, G. C.: Haze particle nucleation simulation in cirrus clouds, and application for numerical and lidar studies, J. Atmos. Sci., 46, 3005–3014, 1989. </mixed-citation>
</ref>
<ref id="ref87">
<label>87</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Sassen, K. and Khvorostyanov, V. I.: Microphysical and radiative properties of mixed-phase altocumulus: A model evaluation of glaciation effects, Atmos. Res., 84, 390–398, 2007. </mixed-citation>
</ref>
<ref id="ref88">
<label>88</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Sassen, K. and Khvorostyanov, V. I.: Indirect cloud effects from boreal forest fire smoke: evidence for ice nucleation from polarization lidar data and cloud model simulations. Environ. Res. Lett., 3, 025006, http://dx.doi.org/10.1088/1748-9326/3/2/025006doi:10.1088/1748-9326/3/2/025006, 2008. </mixed-citation>
</ref>
<ref id="ref89">
<label>89</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Sassen, K., Wang, Z., Khvorostyanov, V. I., Stephens, G. L., and Bennedetti, A.: Cirrus cloud ice water content radar algorithm evaluation using an explicit cloud microphysical model, J. Appl. Meteorol., 41, 620–628, 2002. </mixed-citation>
</ref>
<ref id="ref90">
<label>90</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Seinfeld, J. H. and Pandis, S. N.: Atmospheric Chemistry and Physics, Wiley, New York, 1326 pp., 1998. </mixed-citation>
</ref>
<ref id="ref91">
<label>91</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Shupe, M. D., Matrosov, S. Y., and Uttal, T.: Arctic mixed-phase cloud properties derived from surface-based sensors at SHEBA, J. Atmos. Sci., 63, 697–711, 2006. </mixed-citation>
</ref>
<ref id="ref92">
<label>92</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Thomson, J. J.: Application of Dynamics to Physics and Chemistry, 1st Edn., Cambridge University Press, London, 163 pp., 1888. </mixed-citation>
</ref>
<ref id="ref93">
<label>93</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Vali, G.: Nucleation terminology, J. Aerosol. Sci., 16, 575–576, 1985. </mixed-citation>
</ref>
<ref id="ref94">
<label>94</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Vehkamäki, H., Määttänen, A., Lauri, A., Napari, I., and Kulmala, M.: Technical Note: The heterogeneous Zeldovich factor, Atmos. Chem. Phys., 7, 309–313, http://dx.doi.org/10.5194/acp-7-309-2007doi:10.5194/acp-7-309-2007, 2007. </mixed-citation>
</ref>
<ref id="ref95">
<label>95</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Verlinde, J., Harrington, J. Y., McFarquhar, G. M., Yannuzzi, V. T., Avramov, A., Greenberg, S., Johnson, N., Zhang, G., Poellot, M. R., Mather, J. H., Turner, D. D., Eloranta, E. W., Zak, B. D., Prenni, A. J., Daniel, J. S., Kok, G. L., Tobin, D. C., Holz, R., Sassen, K., Spangenberg, D., Minnis, P., Tooman, T. P., Ivey, M. D., Richardson, S. J., Bahrmann, C. P., Shupe, M. D., DeMott, P. J., Heymsfield, A. J., and Schofield, R.: Overview of the Mixed-Phase Arctic Cloud Experiment (MPACE), B. Am. Meteorol. Soc., 88, 205–201, 2007. </mixed-citation>
</ref>
<ref id="ref96">
<label>96</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Xie, S., Klein, S. A., Yio, J. J., Beljaars, A. C. M., Long, C. N., and Zhang, M.: An assessment of ECMWF analyses and model forecasts over the North Slope of Alaska using observations from the ARM Mixed-Phase Arctic Cloud Experiment, J. Geophys. Res., 111, D05107, http://dx.doi.org/10.1029/2005JD006509doi:10.1029/2005JD006509, 2006a. </mixed-citation>
</ref>
<ref id="ref97">
<label>97</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Xie, S., Klein, S. A., Zhang, M., Yio, J. J., Cederwall, R. T., and McCoy, R.: Developing large-scale forcing data for single-column and cloud-resolving models from the Mixed-Phase Arctic Cloud Experiment, J. Geophys. Res., 111, D19104, http://dx.doi.org/10.1029/2005JD006950doi:10.1029/2005JD006950, 2006b. </mixed-citation>
</ref>
<ref id="ref98">
<label>98</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Yum, S. S. and Hudson, J. G.: Vertical distributions of cloud condensation nuclei spectra over the springtime Arctic Ocean, J. Geophys. Res., 106, 15045–15052, 2001. </mixed-citation>
</ref>
<ref id="ref99">
<label>99</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Zeldovich, J. B.: Toward the theory of formation of a new phase. Cavitation, J. Exper. Theor. Phys., 12, 525–538, 1942. </mixed-citation>
</ref>
<ref id="ref100">
<label>100</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Zhang, H., Sokolik, I. N., and Curry, J. A.: Impact of dust aerosols on Hurricane Helene&apos;s early development through the deliquescent heterogeneous freezing mode, Atmos. Chem. Phys. Discuss., 11, 14339–14381, http://dx.doi.org/10.5194/acpd-11-14339-2011doi:10.5194/acpd-11-14339-2011, 2011. </mixed-citation>
</ref>
<ref id="ref101">
<label>101</label><mixed-citation publication-type="other" xlink:type="simple"> % vor jede Referenz Zubler, E. M., Lohmann, U., Lüthi, D., and Schär, C.: Statistical analysis of aerosol effects on simulated mixed-phase clouds and precipitation in the Alps, J. Atmos. Sci., 68, 1474–1492, 2011. </mixed-citation>
</ref>
</ref-list>
</back>
</article>