Abstract
The cooperative Jahn-Teller effect is considered in the crystal samples of finite size. Peculiarities of the plate sample phonon spectra and their influence on the microscopic theory of the structural phase transitions are in the focus of attention. The mutual orientation of the crystal axes and the plate plane is discussed. As an example the Lamb wave role is analyzed in detail. It is shown that the ferrodistortive ordered phase is significantly inhomogeneous. This inhomogeneity is the consequence of the space coordinate dependence of the intersite electron-electron interaction. Some new thermodynamic and dynamic effects are considered as a result of the microscopic theory of structural phase transitions in plates.
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