Model of Normal Crystal Dissolution

Abstract

A distribution law of shortest distances to symmetry-equivalent surfaces in the form of a modified gamma-distribution has been derived for the crystal dissolution form in a multicomponent system. The technique of calculating the main morphological characteristics of crystal are demonstrated by the example of natural diamond of the Ural‒Brazil type. For simple crystallographic forms, which generate polyhedra characterized by topological variety, it is proposed to use the algorithm for calculating generalized polyhedra; using the latter, one can estimate the dissymmetrizing effect of environmental factors on a dissolving (or growing) crystal.