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Hopping Model for the Non-Debye Dielectric Response in Ionic Crystals*

Published online by Cambridge University Press:  21 February 2011

J. C. Wang  and
J. B. Bates
J. C. Wang
Affiliation:
Solid State Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6030
J. B. Bates
Affiliation:
Solid State Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6030
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Abstract

A model based on ion hopping in potential double-wells is proposed to explain the non-Debye dielectric response in solids. Relying on some assumptions, an attempt is made to remove the “average” nature of previous diffusion theories. This results in a distribution of activation energies, G(E), which decays exponentially on both sides of some given value E0. It is shown that (a) the existence of a dielectric loss peak is a result of the decay of G(E) for E > E0, (b) the constant-phase-angle behavior above the loss peak is associated with the decay of G(E) for E < E0, and (c) G(E) can produce all the main features of the empirical Havriliak-Negami function. An interesting property of this G(E) is that it broadens with increasing temperature, consistent with many experimental observations.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 135: Symposium M – Solid State Ionics I , 1988 , 57
Copyright
Copyright © Materials Research Society 1989

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Footnotes

*

Research sponsored by the Division of Materials Science, U.S. Department of Energy under contract DE-AC05-84OR- 21400 with Martin Marietta Energy Systems, Inc.

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