Morphological Stability Criterion for a Spherical Crystallization Front in a Multicomponent System with Chemical Reactions

摘要

The morphological stability of a spherical crystal growing from a multicomponent medium due to the chemical reaction has been investigated. The approach used in this study is applicable to the case where the chemical compound forming the crystal does not exist in a gaseous (dissolved) form (for example, GaN). The investigation has been performed according to the classical scheme by the expansion of an infinitesimal deviation of the crystallization front from the initial shape into a series with the subsequent calculation of the time dependence of the coefficients of the expansion. It has been found that there is a similarity of the stability criteria for single-component and multicomponent crystals. In a multicomponent system, the single-component supersaturation analog determining the stability of a particle is the affinity of the chemical reaction. It has been shown that the morphological stability can also depend on the formation of other phases on the surface of the initial crystal, which is excluded in a single-component medium.