Growth of Faceted Pores in a Crystal by the Burton–Cabrera–Frank Mechanism

Abstract

The growth of a faceted pore in a crystal by the Burton–Cabrera–Frank mechanism under action of a mechanical tensile load is considered. The growth is determined by the diffusion of vacancies existing in a crystal to the terraces and steps on the pore surface. The expressions for the speed of movement of a single step and a group of parallel steps, and also for the dependence of the normal growth rate of a pore by the spiral mechanism under action of applied load have been found. It is shown that, in a certain range of low tensile loads, the rate has a quadratic dependence on the load, while the dependence is linear at high loads. The influence of impurities on the crystal fracture by the pore growth mechanism under consideration is discussed.