The asymptotics of long-range polarization in the bulk of a crystal, and at surfaces far from a point defect, were considered. Because the dielectric tensor of the crystal bulk could not be used for ionic layers which were close to the surface, a method was developed for calculating ionic displacements and induced electronic dipole moments for the general case of an arbitrary crystal structure. It was based only upon a knowledge of the dynamic matrix of a 3-dimensional crystal. The effect of Coulomb interactions was treated by taking account of ionic vibrations and by using the complete set of Maxwell’s equations. Detailed expressions were derived for the particular case of a semi-empirical model which involved polarizable ions that interacted via pair inter-ionic potentials.

L.N.Kantorovich, A.L.Shluger: Physical Review B, 1996, 53[1], 136-47