Anharmonicity and the mean square displacement in perovskite-type crystals |
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Authors: | S.M. Balashov V.K. Fedyanin Y.N. Venevtsev |
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Affiliation: | Karpov Institute of Physical Chemistry, ul. Obukha 10, 107120, Moscow, USSR |
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Abstract: | The theoretical expression is derived for the free energy (FE) of perovskite- type crystals (PTC) on the basis of the model of the crystal with several anharmoniously vibrating atoms in a unite cell. The expression for the mean square displacement (MSD) of any atom in (PTC) is also obtained as a function of potential coefficients of the Hamiltonian of a crystal.The evaluation of the numerical values of potential coefficients of the Hamiltonians of BaTiO3 and SrTiO3 on the basis of the available experimental data is made. |
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