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Features of the crystallization kinetics define directly the ratecharacteristics: the crystal nucleation rate, the crystal growth rate and theso-called kinetic rate factor known also as the attachment rate (of particlesto the surface of a crystalline nucleus). We show that the kinetic rate factoras function of the reduced temperature follows a unified scaled power law. Thisscenario is confirmed by our simulation results for model atomistic systems(crystallizing volumetric liquids and liquid thin film) and by availableexperimental data for crystallizing polymers. We find that the exponent of thisunified scaling law is associated with a measure of the glass-forming abilityof a system. The results of the present study extend the idea of a unifieddescription of the rate characteristics of the crystal nucleation and growthkinetics by means of the scaling relations.

Unified scaling law for rate factor of crystallization kinetics