{'fraction_non_alphanumeric': 0.029438822447102116, 'fraction_numerical': 0.0, 'mean_word_length': 4.551020408163265, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Microscopic fields in polarized insulating crystals

Abstract The problem of local field effects in real solids is considered. It is shown that long-range part of microscopic field induced by a polar optical mode of lattice vibrations is completely determined by changes in the electron charge δℒe(q) and in the dipole moment δd(q) of the unit cell. The solution of the problem depends crucially on the behaviour of δℒe q(q) at small q (q is a wave vector). As it was shown earlier δℒe(q→O) is of a second order in q, and as a result there is only one type of long-range Coulomb interaction in the state with a polarization wave intercell dipole-dipole interaction. Local field corrections due to the analytic part of this interaction to dielectric permeability ε∞ ij and to Zij(s) Bom effective charge tensor Zij(s) are found. It is shown that a total contribution of this interaction into forces acting on atomic nuclei can be expressed in terms of ε∞ ij and Zij, (s). These results give a general, model free solution of the problem of local field effects in real insulating crystals.