Abstract
The isotope effect on ferroelectric phase transition is studied by the variational principle method using a self-consistent anharmonic model. A trial Hamiltonian was devised using the terms of the anharmonic oscillator and arbitrary potential energy between atoms. The isotope effects on BaTiO3 ferroelectric phase transition, especially on the cubic-to-tetragonal transition, are given through a function consisting of the optical phonon. It is revealed that a heavy-isotope-enriched crystal shows a lower TC than a light-isotope crystal, which is in agreement with the experimental Ti-isotope effects in BaTiO3.
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