Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials
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Simulation of the dielectric response of piezoelectric ceramics

N.E. Malysheva1, E.V. Dyakova2, O.V. Malyshkina2

1 Military Academy of Air and Space Defence named after Marshal of the Soviet Union G.K. Zhukov
2 Tver State University

DOI: 10.26456/pcascnn/2023.15.481

Original article

Abstract: We have analyzed the complex permittivity of a porous (10 volume % of pores) sodiumlithium niobate ceramic with the results of computer simulation. The calculation was based on the Cole–Cole formula, which took into account the presence of various mechanisms of relaxation processes in the low-frequency (linear dispersion) and mid-frequency regions, an additional term from the Debye formula was added to take into account the mixed polarization, and a term taking into account the damping factor was added for resonant-type polarization. The simulation was carried out with and without the conductivity taken into account. To take into account the contribution of conductivity to the dynamic dielectric response, the expression σ* = (ε″ + iε′)ε0ω was used. It is shown that the linear part of the frequency dependence in the range from 50 Hz to 1 MHz is equally well described both with and without conductivity. At the same time, the behavior of the dielectric response of piezoelectric ceramics in the high-frequency region, where resonance effects are observed, and the low-frequency region, where volume-charge polarization predominates, is much better described taking into account the contribution of conductivity to the dielectric response of the system.

Keywords: piezoelectric ceramics, complex permittivity, complex conductivity, dielectric spectroscopy

  • Nataliya E. Malysheva – Senior Lecture, Department No. 13, Military Academy of Air and Space Defence named after Marshal of the Soviet Union G.K. Zhukov
  • Ekaterina V. Dyakova – 2nd year postgraduate student, Tver State University
  • Olga V. Malyshkina – Dr. Sc., Professor, Full Professor, Department of Computer Security and Mathematical Control Methods, Tver State University


Malysheva, N.E. Simulation of the dielectric response of piezoelectric ceramics / N.E. Malysheva, E.V. Dyakova, O.V. Malyshkina // Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. — 2023. — I. 15. — P. 481-494. DOI: 10.26456/pcascnn/2023.15.481. (In Russian).

Full article (in Russian): download PDF file


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