Phenomenological Theory of the Ferroelectric Dispersion and Microwave Investigations of Colemanite

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Abstract
The ferroelectric dispersion of the dielectric constant of colemanite is investigated by a coaxial equipment between -15 °C and +15 °C. In the entire temperature range the dispersion is of the mono-dispersive Debyc type. In a first approximation both the relaxation time τε and the static dielectric constant can be represented by a Curie-Weiß law. The relaxation time of the non-inter- action dipole system shows a characteristic temperature dependence. The phenomenological theory assumes a non-linear coupling between certain quantities of state, and thus it constitutes a generalization of a known linear thermodynamic theory of relaxation phenomena. By this theory various material quantities which are temperature dependent are related to each other. The theory may be applied to all those ferroelectric crystals with a phase transition of the second order which are not piezoelectric in the paraelectric phase. The experimental results obtained for colemanite agree with the predictions of the theory.

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