EFFECT OF A TWO-DIMENSIONAL PRESSURE ON THE CURIE POINT OF BARIUM TITANATE

Abstract

By hydraulics, a single crystal of BaTiO3 in the shape of a flat circular disk was subjected to a pressure exerted on the edges. After removal of all domains that were not normal to the disk by a slight pressure, the stress system consisted of equal pressures on the 2 a axes and none on the c axis. The transition temperature increased with the square of the 2-dimensional and hydrostatic stress systems was obtained by using Devonshire's expansion for energy (phil. Mag. 40:1040, 1949;42:1065, 1951) and the appropriate Legendre transformation. The expansion had to be supplemented to obtain a quadratic effect. The evaluation of the effect of pressure on the transition temperature was difficult when higher terms were included, but the effect on Curie-Weiss temperature was easily determined. The laminar part of the Curie-Weiss temperature shift depended only on the lower terms in the free energy expansion; it provided 2 independent relations for determining the 2 g coefficients. The quadraulic shift of the Curie-Weiss temperature depended on the higher terms with which the Devonshire's exspansion was suupplemented, and an interpretation of these higher terms gave an upward direction to the shift.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1953
Accession Number
AD0019933

Entities

People

  • P. W. Forsbergh Jr.

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Barium Titanates
  • Cell Size
  • Crystal Structure
  • Crystals
  • Curie Temperature
  • Equations
  • Free Energy
  • Government Procurement
  • Hydrostatic Pressure
  • Lead Titanates
  • Measurement
  • O Rings
  • Phase Transformations
  • Piezoelectric Crystals
  • Titanates
  • Transition Temperature
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Materials Science and Engineering.