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

Journal Article · Mon Jan 01 04:00:00 EST 2001 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.63.024301· OSTI ID:40205513

Sidebottom, D L; Roling, B; Funke, K

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 {sigma}{sup *}({nu}) and the modulus M{sup *}({nu}) which demonstrates how scaling that is inherent in {sigma}{sup *}({nu}) is lost in M{sup *}({nu}) by inclusion of the high frequency permittivity {epsilon}'({infinity}), 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 {epsilon}'({infinity}) in the definition of M{sup *}({nu}). We conclude then that the electric modulus formalism has resulted in misleading interpretations of the ion dynamics and, hence, should be discouraged.

• Sponsoring Organization: (US)
• OSTI ID: 40205513
• Journal Information: Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 63; ISSN 0163-1829
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PERMITTIVITY
SHAPE
TRANSPORT