AC and DC conductivity correlation: The coefficient of Barton-Nakajima-Namikawa relation
- 作者：Christos Tsonos ; tsonos@teilam.gr ; Athanasios Kanapitsas ; Aristides Kechriniotis ; Nicholas Petropoulos
- 关键词：AC conductivity ; DC conductivity ; Ionic conductors ; Ionic polarization mechanism ; BNN relation
- 刊名：Journal of Non-Crystalline Solids
- 出版年：2012
- 期刊代码：50_00223093
- 类别：ms
- 出版时间：15 July, 2012
- 卷：358
- 期：14
- 页码：1638-1643
- 文件大小：693 K
摘要
It has been some time since an empirical relation, which correlates DC with AC conductivity and contains a loosely defined coefficient thought to be of order one, was introduced by Barton, Nakajima and Namikawa. In this work, we derived this relation assuming that the conductive response consists of a superposition of DC conductivity and an AC conductivity term which materialized through a Havriliak-Negami dielectric function. The coefficient was found to depend on the Havriliak-Negami shape parameters as well as on the ratio of two characteristic time scales of ions motion which are related to ionic polarization mechanism and the onset of AC conductivity. The results are discussed in relation to other relevant publications, and they also applied to a polymeric material. Both theoretical predictions and experimental evaluations of the BNN coefficient are in an excellent agreement, while this coefficient shows a gradual reduction as the temperature increases.