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Free‐volume model for ionic conductivity in polymers

 

作者: Teruo Miyamoto,   Kyoichi Shibayama,  

 

期刊: Journal of Applied Physics  (AIP Available online 1973)
卷期: Volume 44, issue 12  

页码: 5372-5376

 

ISSN:0021-8979

 

年代: 1973

 

DOI:10.1063/1.1662158

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Electrical conduction in polymers under a relatively low applied electric field is considered to be ionic and is affected strongly by the structural factors of the polymers. The following equation for the electrical conductivity &sgr; was derived in which free volumeVf, jump energyEj, and ionic dissociation energyWwere taken into consideration:&sgr;=&sgr;0exp− [&ggr; Vi*/Vf+(Ej+W/2&egr;)(kT)−1], where &sgr;ois a constant, &ggr; the numerical factor to correct the overlap of free volume,Vi*the critical volume required for transport of an ion, &egr; the dielectric constant,kBoltzmann's constant, andTthe absolute temperature. This equation describes well the conduction phenomena in polymethylmethacrylate, polystyrene, and an unsaturated polyester. Relationships between electrical conduction and free volume are discussed.

 

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