Including Surface Kinetic Effects in Simple Models of Ice Vapor Diffusion

AbstractA model for kinetically limited vapor growth and aspect ratio evolution of atmospheric single ice crystals is presented. The method is based on the adaptive habit model of J. Chen and D. Lamb but is modified to include the deposition coefficients through a theory that accounts for axis-dependent growth. Deposition coefficients are predicted for each axis direction based on laboratory-determined critical supersaturations and therefore extends the adaptive habit approach and the capacitance model to low ice supersaturations. The new model is used to simulate changes in single-crystal primary habit in comparison to a hexagonal growth model. Results show that the new model captures the first-order features of axis-dependent, kinetically limited growth. The model reproduces not only the strong reductions in growth as supersaturations decrease but is also able to reproduce the near cessation of minor axis growth as saturations decline. While the new model reproduces the qualitative features of kinetical...

[1]  A. Mangold,et al.  Ice supersaturations and cirrus cloud crystal numbers , 2008 .

[2]  K. M. Miller,et al.  The 27-28 October 1986 FIRE IFO cirrus case study : cloud microstructure , 1990 .

[3]  T. Kuroda Growth Kinetics of Ice Single Crystal from Vapour Phase and Variation of its Growth Form , 1982 .

[4]  Jen‐Ping Chen,et al.  The Theoretical Basis for the Parameterization of Ice Crystal Habits: Growth by Vapor Deposition , 1994 .

[5]  J. Kay,et al.  Timescale analysis of aerosol sensitivity during homogeneous freezing and implications for upper tropospheric water vapor budgets , 2008 .

[6]  J. Harrington,et al.  Ice aspect ratio influences on mixed-phase clouds: Impacts on phase partitioning in parcel models , 2011 .

[7]  I. Markov Crystal Growth for Beginners:Fundamentals of Nucleation, Crystal Growth and Epitaxy , 2016 .

[8]  Evolution of Snow-Size Spectra in Cyclonic Storms. Part I: Snow Growth by Vapor Deposition and Aggregation , 1988 .

[9]  Zhibo Zhang,et al.  Improvements in Shortwave Bulk Scattering and Absorption Models for the Remote Sensing of Ice Clouds , 2011 .

[10]  J. Villain,et al.  Physics of crystal growth , 1998 .

[11]  J. Verlinde,et al.  Physics and Chemistry of Clouds: Transformations , 2011 .

[12]  D. S. Sayres,et al.  Formation of large (≃100 μm) ice crystals near the tropical tropopause , 2007 .

[13]  J. Locatelli,et al.  The IMPROVE-1 Storm of 1–2 February 2001. Part III: Sensitivity of a Mesoscale Model Simulation to the Representation of Snow Particle Types and Testing of a Bulk Microphysical Scheme with Snow Habit Prediction , 2007 .

[14]  W. Cotton,et al.  New RAMS cloud microphysics parameterization part I: the single-moment scheme , 1995 .

[15]  A Method for Adaptive Habit Prediction in Bulk Microphysical Models. Part II: Parcel Model Corroboration , 2013 .

[16]  C. Knight,et al.  Snow Crystal Habit Changes Explained by Layer Nucleation , 1998 .

[17]  Gregory J. Tripoli,et al.  The Spectral Ice Habit Prediction System (SHIPS). Part I: Model Description and Simulation of the Vapor Deposition Process , 2007 .

[18]  New model for the vapor growth of hexagonal ice crystals in the atmosphere , 2001 .

[19]  J. Gayet,et al.  On the distribution of relative humidity in cirrus clouds , 2004 .

[20]  Patrick Minnis,et al.  Uncertainties Associated With the Surface Texture of Ice Particles in Satellite-Based Retrieval of Cirrus Clouds—Part I: Single-Scattering Properties of Ice Crystals With Surface Roughness , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[21]  Jon Thomas Nelson a Theoretical Study of Ice Crystal Growth in the Atmosphere. , 1994 .

[22]  J. Klett,et al.  Microphysics of Clouds and Precipitation , 1978, Nature.

[23]  G. Ewing Thin Film Water , 2004 .

[24]  B. Lewis The growth of crystals of low supersaturation: I. Theory , 1974 .

[25]  B. Ferrier,et al.  A Double-Moment Multiple-Phase Four-Class Bulk Ice Scheme. Part I: Description , 1994 .

[26]  W. K. Burton,et al.  The growth of crystals and the equilibrium structure of their surfaces , 1951, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[27]  Yukio Saito,et al.  Statistical physics of crystal growth , 1996 .

[28]  Tempei Hashino,et al.  The Spectral Ice Habit Prediction System (SHIPS). Part II: Simulation of Nucleation and Depositional Growth of Polycrystals , 2008 .

[29]  M. Baker,et al.  Initial stages in the morphological evolution of vapour‐grown ice crystals: A laboratory investigation , 2003 .

[30]  M. Bailey,et al.  A Comprehensive Habit Diagram for Atmospheric Ice Crystals: Confirmation from the Laboratory, AIRS II, and Other Field Studies , 2009 .

[31]  K. Libbrecht Growth rates of the principal facets of ice between −10°C and −40°C , 2003 .

[32]  K. Kikuchi,et al.  Properties of diamond dust type ice crystals observed in summer season at Amundsen-Scott South Pole Station, Antarctica , 1979 .

[33]  J. Curry,et al.  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 , 2006 .

[34]  J. Harrington,et al.  A Method for Adaptive Habit Prediction in Bulk Microphysical Models. Part I: Theoretical Development , 2013 .

[35]  N. Magee,et al.  Experimental determination of the deposition coefficient of small cirrus‐like ice crystals near −50°C , 2006 .

[36]  K. Sulia,et al.  NOTES AND CORRESPONDENCE Influence of Ice Crystal Aspect Ratio on the Evolution of Ice Size Spectra during Vapor Depositional Growth , 2009 .

[37]  T. Sei,et al.  The growth mechanism and the habit change of ice crystals growing from the vapor phase , 1989 .

[38]  N. Fukuta,et al.  The Growth of Atmospheric Ice Crystals: A Summary of Findings in Vertical Supercooled Cloud Tunnel Studies , 1999 .

[39]  M. P. Langleben,et al.  A THEORY OF SNOW-CRYSTAL HABIT AND GROWTH , 1954 .

[40]  D. Lamb,et al.  Linear growth rates of ice crystals grown from the vapor phase , 1972 .

[41]  A. Heymsfield,et al.  Ice Crystals Growing from Vapor in Supercooled Clouds between −2.5° and −22°C: Testing Current Parameterization Methods Using Laboratory Data , 2011 .

[42]  M. Baker,et al.  New theoretical framework for studies of vapor growth and sublimation of small ice crystals in the atmosphere , 1996 .

[43]  U. Lohmann,et al.  Cirrus cloud formation and ice supersaturated regions in a global climate model , 2008 .

[44]  Kenneth G. Libbrecht,et al.  The physics of snow crystals , 2005 .

[45]  J. Comstock,et al.  Understanding ice supersaturation, particle growth, and number concentration in cirrus clouds , 2008 .

[46]  R. Hogan,et al.  The Capacitance of Pristine Ice Crystals and Aggregate Snowflakes , 2006, physics/0610038.

[47]  J. Harrington,et al.  Parameterization of surface kinetic effects for bulk microphysical models: Influences on simulated cirrus dynamics and structure , 2009 .

[48]  K. Libbrecht Explaining the formation of thin ice crystal plates with structure-dependent attachment kinetics , 2003 .

[49]  K. Gierens On the transition between heterogeneous and homogeneous freezing , 2002 .

[50]  G. Thompson,et al.  Explicit Forecasts of Winter Precipitation Using an Improved Bulk Microphysics Scheme. Part II: Implementation of a New Snow Parameterization , 2008 .

[51]  K. Tsukamoto,et al.  Stacking faults as self-perpetuating step sources , 1988 .

[52]  W. Cotton,et al.  Parameterization of ice crystal conversion processes due to vapor deposition for mesoscale models using double-moment basis functions. Part I: basic formulation and parcel model results , 1995 .

[53]  J. Comstock,et al.  Evidence of high ice supersaturation in cirrus clouds using ARM Raman lidar measurements , 2004 .

[54]  A. Heymsfield,et al.  Small ice crystals in cirrus clouds : A model study and comparison with in situ observations , 1998 .