Skip to main content
SpringerLink
Log in

Dispersion Relations for Proton Relaxation in Solid Dielectrics

  • Published:
Russian Physics Journal Aims and scope

Frequency-temperature spectra of the complex permittivity are studied for proton semiconductors and dielectrics using the methods of a quasi-classical kinetic theory of dielectric relaxation (the Boltzmann kinetic theory) in the linear approximation with respect to the polarizing field in the radio frequency range at temperatures T = 50-450 K. The effect of the quantum transitions of protons on the Debye dispersion relations is taken into account for crystals with hydrogen bonds (HBC) at low temperatures (50-100 K). The diffusion coefficients and the mobilities under electrical transfer of protons in the HBCs are constructed at high temperatures (100-350 K) in a non-linear approximation with respect to the polarizing field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. P. Tonkonogov, Usp. Fiz. Nauk, 168, No. 1, 29–54 (1998).

    Article  Google Scholar 

  2. M. Lains and A. Glass, Ferroelectrics [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  3. G. Young and R. E. Salomon, J. Chem. Phys., 48, No. 4, 1635–1644 (1968).

    Article  ADS  Google Scholar 

  4. R. H. Coul and O. Worz, Proc. Symposium of Physics of Ice, Munich, Germany (1969).

  5. A. A. Potapov and M. S. Metsik, Dielectric Polarization [in Russian], Izd. Irkutsk University, Irkutsk (1986).

    Google Scholar 

  6. G. F. Novikov. Transfer Phenomena, Electrical Conductivity in Dielectrics, Study Guide to the Course of Lectures [in Russian], Voronezh – Chernogolovka (2000).

  7. A. N. Gubkin, Physics of Dielectrics [in Russian], Vyssh. Shkola, Moscow (1971).

    Google Scholar 

  8. V. M. Timokhin, M. P. Tonkonogov, and V. A. Mironov, Russ. Phys. J., 33, No. 11, 82 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Karaganda State Technical University, Karaganda, Kazakhstan

    V. A. Kalytka

  2. National Research Tomsk Polytechnic University, Tomsk, Russia

    M. V. Korovkin

  3. National Research Tomsk State University, Tomsk, Russia

    M. V. Korovkin

Authors
  1. V. A. Kalytka
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. V. Korovkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Kalytka.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 150–159, December, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kalytka, V.A., Korovkin, M.V. Dispersion Relations for Proton Relaxation in Solid Dielectrics. Russ Phys J 59, 2151–2161 (2017). https://doi.org/10.1007/s11182-017-1027-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-017-1027-5

Keywords

Search

Navigation