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Theoretical Consideration of Size Effect for Barium Titanate

The dielectric property of the ferroelectric crystal was studied in the variational method on the basis of the self-consistent model. The anharmonic oscillator was used as a trial Hamiltonian, and a double-well potential which was formed by superposing the back-to back Morse potentials was adopted as an inter atomic potential in the ferroelectric crystal. On the basis of the self-consistent model, a theoretical treatment for the temperature dependence of dielectric constant and the size dependence thereof is presented.