  Features of the crystallization kinetics define directly the rate
characteristics: the crystal nucleation rate, the crystal growth rate and the
so-called kinetic rate factor known also as the attachment rate (of particles
to the surface of a crystalline nucleus). We show that the kinetic rate factor
as function of the reduced temperature follows a unified scaled power law. This
scenario is confirmed by our simulation results for model atomistic systems
(crystallizing volumetric liquids and liquid thin film) and by available
experimental data for crystallizing polymers. We find that the exponent of this
unified scaling law is associated with a measure of the glass-forming ability
of a system. The results of the present study extend the idea of a unified
description of the rate characteristics of the crystal nucleation and growth
kinetics by means of the scaling relations.

Materials Science;Soft Condensed Matter;Statistical Mechanics;Chemical Physics;Computational Physics