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I describe a semi-empirical molecular model of the surface attachmentkinetics governing ice crystal growth from water vapor as a function oftemperature, supersaturation, and crystal mesostructure. An important newhypothesis in this model is surface-energy-driven molecular diffusion enabledby a leaky Ehrlich-Schwoebel barrier. The proposed surface-diffusion behavioris sensitive to facet width and surface premelting, yieldingstructure-dependent attachment kinetics with a complex temperature dependence.By incorporating several reasonable assumptions regarding the surfacepremelting behavior on basal and prism facets, this model can explain theoverarching features of the snow crystal morphology diagram, which has been anenduring scientific puzzle for nearly 75 years.

A Quantitative Physical Model of the Snow Crystal Morphology Diagram