Diffusion theory for crystal growth at arbitrary solute concentration

Abstract

The influence of the solute concentration upon the kinetics of crystal growth is studied for various cases with equilibrium and nonequilibrium boundary conditions, constant cooling rate, and temperature-dependent diffusion coefficient. A perturbation expansion is used to calculate first-order corrections in the low concentration region. Complete numerical solutions for nonequilibrium crystal-liquid interface conditions are obtained by a finite difference method. The influence of the various parameters upon the time-dependent growth rates is discussed. Copyright © 1975 American Institute of Physics.