Abstract
The model of polarizable ions was used to calculate the frequencies and amplitudes of normal transverse modes of vibration (forκ=0) of an SrTiO3 lattice and their temperature dependence due to the temperature dilatation of lattice. In agreement with Cochran's theory, one of the frequencies was chosen equal to zero in the assumed Curie point of 28°K. This can be done by reducing the charges of the ions by the factor 0.278. The temperature dependence of the lowest frequency is in qualitative agreement both with Cochran's assumptions and with the measurements of Cowley. A fundamental role in the character of its dependence and thus in the ferroelectric behaviour of the material is played by the long-range Coulomb forces. The series of experimental data on the values of normal frequencies, the lattice constant and elastic constants indicate a decrease in the values used for the overlap energy constants. The large reduction in the charges (necessary for frequencies aboveT C to be real) show, however, that the model of polarizable ions is unsuitable for explaining the properties of SrTiO3.
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The authors would like to thank V. Janovec C. Sc. and V. Dvořák C. Sc. for guiding the work, valuable discussions and advice, which helped to improve the work. They are also indebted to J. Fousek C. Sc. for a number of valuable remarks, and thank H. Dvořáková and E. Víchová for carefully performing some of the numerical calculations.
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Fraitová, D., Zentková, A. Normal vibrations of SrTiO3 lattice. Czech J Phys 13, 670–679 (1963). https://doi.org/10.1007/BF01688625
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DOI: https://doi.org/10.1007/BF01688625