Abstract
A review is given of a recently developed generalization of the Lydanne-Sachs-Teller (LST) relation, which provides a useful connection between the long-wavelength dynamical behavior of nonmetallic condensed media and their static and high-frequency dielectric properties. The characteristic dynamical frequencies are denned in terms of second moments of the relevant response functions, and very general causality arguments are used to obtain the generalized LST relation, which is applicable to composite and disordered media. Results are discussed for both the bulk medium case and for small particles. For crystalline solids, one recovers the original LST relation, in terms of long wavelength optic mode frequencies. The generalized LST relation is illustrated via computer simulations of a hypothetical composite dielectric which has one component near a ferroelectric phase transition, using the Effective Medium and Maxwell-Garnett approximations for the dielectric response. It is also illustrated and discussed in terms of recent laboratory data on ZnS/diamond composite media. Finally, the generalized LST relation is used to obtain a new generalization of the Clausius/Mossotti relation.
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