A realistic computer model for simulating isothermal and non-isotherma
l phase transformations proceeding by homogeneous and heterogeneous nu
cleation and interface-limited growth is presented. A new treatment fo
r particle size effects on the crystallization kinetics is developed a
nd is incorporated into the numerical model. Time-dependent nucleation
rates, size-dependent growth rates and surface crystallization are al
so included. Model predictions are compared with experimental measurem
ents of DSC/DTA peak parameters for the crystallization of lithium dis
ilicate glass as a function of particle size, Pt doping levels, and wa
ter content. The quantitative agreement that is demonstrated indicates
that the numerical model can be used to extract key kinetic data from
easily obtained calorimetric data. The model can also be used to prob
e nucleation and growth behavior in regimes that are otherwise inacces
sible. Based on a fit to data, an earlier prediction that the time-dep
endent nucleation rare in a DSC/DTA scan can rise above the steady-sta
te value at a temperature higher than the peak in the steady-state rat
e is demonstrated.