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The extraction of ionic conductivities and hopping rates from a.c. conductivity data

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Abstract

Over a wide range of frequencies, the a.c. conductivity of ionic materials shows two regions of frequency-dependent conductivity. These are each characterized by a term Kω 1−np ω n where K, n are constants, ω p is a fundamental frequency identified with the hopping rate and ω is the measuring frequency. This behaviour is an example of Jonscher's Law of Dielectric Response for ionic conductors. In many cases, the region of low-frequency dispersion approximates to a frequency-independent plateau which may be taken as the d.c. conductivity. In others, a significant low-frequency dispersion is present and cannot be ignored in determining the effective d.c. conductivity. A method for the extraction of d.c. conductivities, hopping rates and for estimating carrier concentration effects is described. Data for three different types of material, single-crystal LiGaO2, β″-alumina and Na/Ag β-alumina are used to illustrate the method.

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Authors and Affiliations

  1. School of Materials Science, University of Bath, Bath, UK

    D. P. Almond

  2. Department of Chemistry, University of Aberdeen, Aberdeen, UK

    C. C. Hunter & A. R. West

Authors
  1. D. P. Almond
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  2. C. C. Hunter
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  3. A. R. West
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Almond, D.P., Hunter, C.C. & West, A.R. The extraction of ionic conductivities and hopping rates from a.c. conductivity data. J Mater Sci 19, 3236–3248 (1984). https://doi.org/10.1007/BF00549810

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