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Second order elastic anomalies in barium titanate from cubic to tetragonal phase transition
B. Subramanyam
Published in Springer India
1993
Volume: 41
   
Issue: 1
Pages: 31 - 39
Abstract
The anomalies of the second order elastic constants have been derived for barium titanate for the phase transition from cubic to tetragonal. The equilibrium values of the components of the order parameter and the strain variables have been obtained from the stability conditions. The fluctuations in the order parameter have been derived from the Landau-Khalatnikov equations. Expression for the shift in the zero point energy in the tetragonal phase is obtained and is shown to be proportional to (T -Tc)2. The anomalies for all the second order elastic constants have been derived and relations among them reported. It is shown that the second order elastic anomalies suffer a discontinuity at the transition temperature. © 1993 the Indian Academy of Sciences.
About the journal
JournalData powered by TypesetPramana
PublisherData powered by TypesetSpringer India
ISSN03044289
Open AccessNo
Concepts (18)
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    Crystal microstructure
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    Crystal symmetry
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    Dimensional stability
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    Ferroelectric materials
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    Numerical methods
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    Order disorder transitions
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    Phase equilibria
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    Phase transitions
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    STRAIN CONTROL
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    Thermal effects
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    Thermoelasticity
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    CURIE POINT
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    Dipole moment
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    ELASTIC ANOMALIES
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    LANDAU-KHALATNIKOV EQUATIONS
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    Transition temperature
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    ZERO POINT ENERGY
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    Barium titanate