Methods of theoretical researches the non-linear electrophysical properties of solid dielectrics with compound crystalline structure

Kalytka, V. A.; Neshina, Y. G.; Madi, P Sh; Naboko, Y. P.

doi:10.1088/1757-899x/698/2/022002

Cited by 6 publications

(10 citation statements)

References 14 publications

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“…Currently, quite a large amount of experimental data have been accumulated on the use of proton semiconductors and dielectrics (PSCD), mainly in the field of electrochemical technologies and physical chemistry (when developing solid-state electrolytes (perovskites, orthoperiodates and alkali metal biperiodates of alkali metals) [18][19][20][21][22][23][24][25]. At the same time, there are not many practical applications of PSCD properties [17,[26][27][28][29][30][31][32] in the field of theoretical electrical engineering [33][34][35][36][37][38][39][40][41], physical electronics and microelectronics [42].…”

Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

“…The analytical expressions for the relaxation coefficients (33a) calculated at the base frequency (ω) of the alternating electric field in the areas of diffusion T < T cr,relax and Maxwell T > T cr,relax relaxation, away from the critical temperature T cr,relax , should differ significantly in the type of functional dependence of these parameters on temperature. In this case, we will analyze the dispersion expressions (36), (37) We convert the "zero" component of the complex dielectric permittivity (CDP) by the polarizing field from (32), taking into account (33)…”

Section: Effect Of Temperature On Theoretical Spectra Of Complex Diel...mentioning

confidence: 99%

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Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

et al. 2022

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This paper is devoted to the development of generalized (for a wide range of fields (100 kV/m–1000 MV/m) and temperatures (0–1500 K) in the radio frequency range (1 kHz–500 MHz)) methods for the theoretical investigation of the physical mechanism of nonlinear kinetic phenomena during the establishment of the relaxation polarization, due to the diffusion motion of the main charge carriers in dielectrics with ionic–molecular chemical bonds (hydrogen-bonded crystals (HBC), including layered silicates, crystalline hydrates and corundum–zirconium ceramics (CZC), etc.) in an electric field. The influence of the nonlinearities equations of the initial phenomenological model of dielectric relaxation (in HBC-proton relaxation) on the mechanism for the formation of volume–charge polarization in solid dielectrics is analyzed. The solutions for the nonlinear kinetic Fokker–Planck equation, together with the Poisson equation, for the model of blocked electrodes are built in an infinite approximation (including all orders k of smallness without dimensional parameters) of perturbation theory for an arbitrary order r of the frequency harmonic of an alternating external polarizing field. It has been established that the polarization nonlinearities in ion-molecular dielectrics, already detected at the fundamental frequency, are interpreted in the mathematical model (for the first time in this work) as interactions of the relaxation modes of the volume charge density calculated on different orders of spatial Fourier harmonics. At the fundamental frequency of the field, an analytical generalized expression is written for complex dielectric permittivity (CDP), which is expressed analytically in terms of special relaxation parameters, which are quite complex real functions in the fields of frequency and temperature. The theoretical CDP and the dielectric loss tangent spectra studied depend on the nature of the relaxation processes in the selected temperature range (Maxwell and diffusion relaxation; thermally activated and tunneling relaxation), which is relevant from the point of view of choosing exact calculation formulas when analyzing the optimal operating modes of functional elements (based on dielectrics and their composites) for circuits of instrumentation, radio engineering and power equipment in real industrial production.

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Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

Section: Effect Of Temperature On Theoretical Spectra Of Complex Diel...mentioning

confidence: 99%

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

et al. 2022

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“…The purpose of the given paper is to develop a more rigorous, in comparison with [79][80][81][82][85][86][87] (in terms of the structure of the Hamiltonian and its properties), quantum mechanical model in the form of solutions of a nonlinear quantum kinetic equation that describes, together with the Poisson equation, the motion of the main relaxers (protons) against the background of anionic and ionic-molecular subsystems (accepted as static) in HBC in an electric field. On this basis, the effects of proton tunneling transitions on the temperature and frequency spectra of the complex dielectric permittivity in a wide range of field parameters (100 kV/m-100 MV/m) and temperatures (0-1500 K) have been identified.…”

Section: Statement Of the Quantum Mechanical Problemmentioning

confidence: 99%

“…The calculation of the unperturbed discrete energy spectrum of protons E (0) n in HBC has been carried out. The calculation of the Hamiltonian of the system (crystal) was carried out by the secondary quantization methods without taking into account the influence of the proton-phonon interaction Ĥpr,ph → 0 , according to the accepted for HBC to the experimental assumptions [79,81]. The Hamiltonian of the phonon subsystem was taken as a constant numeric operator Ĥph → const .…”

Section: Statement Of the Quantum Mechanical Problemmentioning

confidence: 99%

“…In HBC, over a wide range of field parameters (0.1-100 MV/m) and temperatures (1-1500 K), tunneling transitions of protons in the anionic sublattice play a significant role in the formation of volume-charge polarization. In the range of low temperatures (50-100 K) and, moreover, ultra-low temperatures (4-25 K), proton relaxation polarization is determined only by quantum effects in the hydrogen sublattice [79,80].…”

Section: Introductionmentioning

confidence: 99%

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Physical and Mathematical Models of Quantum Dielectric Relaxation in Electrical and Optoelectric Elements Based on Hydrogen-Bonded Crystals

Kalytka,

Mekhtiyev,

Neshina

et al. 2023

Crystals

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The quantum statistical properties of the proton subsystem in hydrogen-bonded crystals (HBC) are investigated. Based on the non-stationary Liouville operator equation (taking into account a number of assumptions established in the experiment), a quantum kinetic equation is constructed for the ensemble of non-interacting protons (an ideal proton gas) moving in the crystal potential image perturbed by the external electric field. The balanced density matrix for the unperturbed proton subsystem is constructed using the quantum canonical Gibbs distribution, and the non-balanced density matrix is calculated from the solutions of the nonlinear quantum kinetic equation by methods in linear approximation of perturbation theory for the blocking electrode model. Full quantum mechanical averaging of the polarization operator makes it possible to study the theoretical frequency-temperature spectra of the complex dielectric permittivity (CDP) calculated using quantum relaxation parameters that differ significantly from their semiclassical counterparts. A scheme is presented for an analytical study of the dielectric loss tangent in the region of quantum nonlinear relaxation in HBC. The results obtained in the given paper are of scientific interest in developing the theoretical foundations of proton conduction processes in energy-independent memory elements (with anomalously high residual polarization) based on thin films of ferroelectric materials in the ultralow temperature range (1–10 K). The theoretical results obtained have a direct application to the study of the tunneling mechanisms of spontaneous polarization in ferroelectric HBC with a rectangular hysteresis loop, in particular in crystals of potassium dideutrophosphate (KDP), widely used in nonlinear optics and laser technology. The quantum properties of proton relaxation in HBC can be applied in the future to the study of solid-state electrolytes with high proton conductivity for hydrogen energy, capacitor technology (superionics, varicodes), and elements of MIS and MSM structures in the development of resonant tunnel diodes for microelectronics and computer technology.

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Universal installation for studying structural defects in electrical and optical fiber materials

Kalytka

Коровкин

Madi

et al. 2020

J. Phys.: Conf. Ser.

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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.

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Methods of theoretical researches the non-linear electrophysical properties of solid dielectrics with compound crystalline structure

Cited by 6 publications

References 14 publications

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

Physical and Mathematical Models of Quantum Dielectric Relaxation in Electrical and Optoelectric Elements Based on Hydrogen-Bonded Crystals

Universal installation for studying structural defects in electrical and optical fiber materials

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