### Abstract

The effects of domain structure on the low-frequency conductivity response of a polymer electrolyte having low carrier concentration are investigated by modeling the domains as spheres. For zero leakage (no dc conductivity), the diffusion equation is solved exactly. The results are also extended approximately to the case of small but nonzero leakage by imposing physically reasonable approximate boundary conditions together with an ad hoc procedure for treating the diffusion in the less conductive exterior. Interaction between charge carriers in different domains is taken into account in the Maxwell-Garnet approximation and found to have only a small effect for physically reasonable parameter values. The predicted diffusive behavior is studied and the results are applied to examine the predicted behavior of the frequency-dependent conductivity.

Original language | English |
---|---|

Pages (from-to) | 4491-4500 |

Number of pages | 10 |

Journal | Journal of Chemical Physics |

Volume | 92 |

Issue number | 7 |

Publication status | Published - 1990 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Chemical Physics*,

*92*(7), 4491-4500.

**Frequency-dependent diffusion in a spherical cavity : The effects of domain structure on ionic conduction in polymer electrolytes.** / Druger, S. D.; Ratner, Mark A; Nitzan, A.; Skinner, D. W.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 92, no. 7, pp. 4491-4500.

}

TY - JOUR

T1 - Frequency-dependent diffusion in a spherical cavity

T2 - The effects of domain structure on ionic conduction in polymer electrolytes

AU - Druger, S. D.

AU - Ratner, Mark A

AU - Nitzan, A.

AU - Skinner, D. W.

PY - 1990

Y1 - 1990

N2 - The effects of domain structure on the low-frequency conductivity response of a polymer electrolyte having low carrier concentration are investigated by modeling the domains as spheres. For zero leakage (no dc conductivity), the diffusion equation is solved exactly. The results are also extended approximately to the case of small but nonzero leakage by imposing physically reasonable approximate boundary conditions together with an ad hoc procedure for treating the diffusion in the less conductive exterior. Interaction between charge carriers in different domains is taken into account in the Maxwell-Garnet approximation and found to have only a small effect for physically reasonable parameter values. The predicted diffusive behavior is studied and the results are applied to examine the predicted behavior of the frequency-dependent conductivity.

AB - The effects of domain structure on the low-frequency conductivity response of a polymer electrolyte having low carrier concentration are investigated by modeling the domains as spheres. For zero leakage (no dc conductivity), the diffusion equation is solved exactly. The results are also extended approximately to the case of small but nonzero leakage by imposing physically reasonable approximate boundary conditions together with an ad hoc procedure for treating the diffusion in the less conductive exterior. Interaction between charge carriers in different domains is taken into account in the Maxwell-Garnet approximation and found to have only a small effect for physically reasonable parameter values. The predicted diffusive behavior is studied and the results are applied to examine the predicted behavior of the frequency-dependent conductivity.

UR - http://www.scopus.com/inward/record.url?scp=36549100689&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549100689&partnerID=8YFLogxK

M3 - Article

VL - 92

SP - 4491

EP - 4500

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 7

ER -