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Theory of Symmetry Change in Second-Order Phase Transitions in Perovskite Structure

Fredric E. Goldrich*

Joseph L. Birman†

  • University College of Arts and Science, New York University, New York, New York

  • Physics Department, New York University, New York, New York

  • *Present address: Physics department, Princeton University, Princeton, N.J.
  • †Supported in part by the U.S. Army Research Office, Durham, and the Aerospace Research Laboratories, Wright-Patterson Air Force Base, Dayton, Ohio.
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Phys. Rev. 167, 528 – Published 10 March, 1968

DOI: https://doi.org/10.1103/PhysRev.167.528

Abstract

An analysis is presented of the compatible subgroups which can arise by second-order phase transition from the perovskite structure, without change of unit cell. The symmetry analysis is based upon the subduction-criterion simplification of the thermodynamic Landau theory. The possible displacements from the perovskite structure are taken as the normal modes at k=(0, 0, 0). Additional criteria for selecting compatible subgroups are developed, based on a chain of subgroups. Only eight space groups can arise in this manner, of which six can be ferroelectric. An error in the previous theoretical analysis by Haas is eliminated. Our results are compared to the meager experimental determinations of compatible subgroups, but more such determinations are needed.

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References (18)

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Phys. Rev. 167, 528– Published 10 March, 1968
  • Received 20 July 1967

© 1968 American Physical Society

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