Upon based the finite difference methods construct the solutions for Liouville quantum kinetic equation linearized by the external field, in complex with the stationary Schrodinger equation and the Poisson operator equation, for an ensemble of non-interacting hydrogen ions (protons) migrating in the field of a crystal lattice perturbed by a variable polarizing field. The influence of the phonon subsystem is not taken into account. The equilibrium (non-balanced) proton density matrix is calculated using quantum Boltzmann statistics. The temperature spectra of dielectric losses tangent angle for hydrogen bonded crystals (HBC) in a wide temperature range (50–550 K) are calculated. At the theoretical level detected the effects of nano-crystalline states (1–10 nm) during the polarization of HBC in the region of ultra-low temperatures (4–25 K).

A universal device for experimentally studying the migration of microscopic structure defects and the features of dielectric relaxation is proposed. it allows using the thermo stimulated depolarization method, in combination with the measurement of the tangent of the angle of dielectric losses and the thermo stimulated polarization current, to perform dielectric spectroscopy of hydrogen-bonded crystals and perform analysis of the properties and parameters of structure defects. A smaller (in comparison with the existing installation) additional compact device for measuring small values of electrical capacitance and the tangent of the angle of dielectric losses, including an electrometer B7-30, was designed, measurement was carried out using a q-factor meter VM 560. When measuringtgδ > 0.1, the VM-507 device was used. An experimental methodology is proposed that allows, in combination with the method of minimizing the comparison function (MFC - method), with a high degree of accuracy, to calculate the molecular characteristics of structural defects in composite materials based on semiconductors and dielectrics used in the electrical and optical fiber industry, electric power and insulation technology.

Methods quasiclassical kinetic theory investigate the phenomena of nonlinear ion-relaxation polarization in solid dielectrics with a compound structure of the crystal lattice. As a particular case, the mechanism of nonlinear proton-relaxation polarization in hydrogen-bonded crystals (HBC), classified according the electrophysical properties as proton semiconductors and dielectrics (PSD) is theoretically studied. Generalized kinetic equation and spectra of complex permittivity (CP), which allow to describe the nonlinear properties of dielectric losses in HBC in range of ultra-low temperatures (1- 10 K) and low fields (100 kV/m - 1000 kV/m), and in range of ultra-high temperatures (550-1500 K) and strong fields (10 MV/m - 1000 MV/m). The scientific and practical significance of received results consists in development of the theoretical basis of algorithm for computer prediction of materials properties and parameters that are functional elements of technological schemes of industrial installations and systems.

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