Ionic conduction in solids: Comparing conductivity and modulus representations with regard to scaling properties

David L. Sidebottom, B. Roling, K. Funke

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In the literature, the electric modulus representation has been used to provide comparative analysis of the ion transport properties in different ion-conducting materials. In this paper we show that the modulus representation is not a suitable tool for such purposes. Our arguments derive from an examination of the scaling properties of both the ac conductivity σ*(ν) and the modulus M*(ν) which demonstrates how scaling that is inherent in σ*(ν) is lost in M*(ν) by inclusion of the high frequency permittivity ε′(∞), the latter quantity being unrelated to ion transport processes. Furthermore, we show how highly regarded shape changes of the modulus that occur with varying ion concentration are merely a manifestation of including ε′(∞) in the definition of M*(ν). We conclude then that the electric modulus formalism has resulted in misleading interpretations of the ion dynamics and, hence, should be discouraged.

Original languageEnglish
Article number024301
Pages (from-to)243011-243017
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
Publication statusPublished - 2001


All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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