Skip to main content
Log in

Correlation between the lattice parameters of crystals with perovskite structure

  • Theory of Crystal Structures
  • Published:
Crystallography Reports Aims and scope Submit manuscript

Abstract

The correlation \((\bar a_2 + \bar a_3 ) = (\bar a_1 + \bar a_4 )\) has been established for the mean parameters of the reduced perovskite unit cells, \(\bar a_1 ,\bar a_2 ,\bar a_3 \) and \(\bar a_4 \) of four arbitrary compounds with the perovskite structure having the compositions (1) ABX 3, (2) A′BX 3, (3) AB′X 3, and (4) A′B′X 3, where A, A′ and B, B′ are the pairs of metal atoms with equal valences and X is an oxygen or halogen atom. The above correlation is consistent with the model of harmonic quasi-elastic atomic interactions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. P. Sakhnenko, E. G. Fesenko, A. T. Shuvaev, et al., Kristallografiya 17, 316 (1972) [Sov. Phys. Crystallogr. 17, 268 (1972)].

    Google Scholar 

  2. V. P. Sakhnenko, N. V. Dergunova, and L. A. Reznichenko, Energy and Crystal Chemistry of Solid Solutions of the Oxide Octahedral-Type Compounds and Modeling of Piezoceramic Materials (MP Kniga, Rostov-on-Don, 1999).

    Google Scholar 

  3. E. G. Fesenko, Family of Perovskites and Ferroelectricity (Atomizdat, Moscow, 1972).

    Google Scholar 

  4. V. M. Talanov, Kristallografiya 24, 706 (1979) [Sov. Phys. Crystallogr. 24, 405 (1979)].

    Google Scholar 

  5. V. M. Talanov, Phys. Status Solidi B 106, 99 (1981).

    Google Scholar 

  6. G. A. Geguzina, E. G. Fesenko, and E. T. Shuvayeva, Ferroelectrics 167, 311 (1995).

    Google Scholar 

  7. Landolt-Börnstein. Numerical Data and Functional Relationships in Science and Technology (Springer, New York, 1969), New Series, Group III, Vol. 4a.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to the 80th Birthday of L.A. Shuvalov

__________

Translated from Kristallografiya, Vol. 49, No. 1, 2004, pp. 20–24.

Original Russian Text Copyright © 2004 by Geguzina, Sakhnenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Geguzina, G.A., Sakhnenko, V.P. Correlation between the lattice parameters of crystals with perovskite structure. Crystallogr. Rep. 49, 15–19 (2004). https://doi.org/10.1134/1.1643959

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1643959

Keywords

Navigation