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Free-volume model for ionic conductivity in polymers
Abstract
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 σ was derived in which free volume Vf, jump energy Ej, and ionic dissociation energy W were taken into consideration: σ=σ0exp{− [γ Vi*/Vf+(Ej+W/2ε)(kT)−1]}, where σo is a constant, γ the numerical factor to correct the overlap of free volume, Vi* the critical volume required for transport of an ion, ε the dielectric constant, k Boltzmann's constant, and T the 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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Williams, M. L., Landel, R. F., & Ferry, J. D. (1955) · Journal of the American Chemical Society · doi:10.1021/ja01619a008 · Cited by 8,083
Cited by
Polymer solid electrolytes - an overview
Armand, M. (1983) · Solid State Ionics · doi:10.1016/0167-2738(83)90083-8 · Cited by 871
Structural, vibrational and electrical characterization of PVA–NH4Br polymer electrolyte system
Hema, M., Selvasekerapandian, S., Sakunthala, A., Arunkumar, D., & Nithya, H. (2008) · Physica B: Condensed Matter · doi:10.1016/j.physb.2008.02.001 · Cited by 276
Metadata
- Authors
- Miyamoto, T., & Shibayama, K.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1973-12-01
- Volume
- 44
- Issue
- 12
- Pages
- 5372-5376
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2026398600
- Cited by
- 399
- References
- 1
- FWCI
- 3.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Miyamoto, T., & Shibayama, K. (1973). Free-volume model for ionic conductivity in polymers. Journal of Applied Physics. https://doi.org/10.1063/1.1662158
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