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

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Authors

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

Issue Date

2000

Volume

63

Issue

Type

Journal Article

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Research Projects

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Abstract

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 ɛ′(∞), 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 ɛ′(∞) 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.

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Citation

Sidebottom, D. L., Roling, B., & Funke, K. (2000). Ionic conduction in solids:_��Comparing conductivity and modulus representations with regard to scaling properties. Physical Review B, (63, 024301

Publisher

American Physical Society

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ISSN

1098-0121
0163-1829

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