Frequency-dependent diffusion in a spherical cavity

The effects of domain structure on ionic conduction in polymer electrolytes

S. D. Druger, Mark A Ratner, A. Nitzan, D. W. Skinner

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 languageEnglish
Pages (from-to)4491-4500
Number of pages10
JournalJournal of Chemical Physics
Volume92
Issue number7
Publication statusPublished - 1990

Fingerprint

Ionic conduction
Electrolytes
Polymers
electrolytes
conduction
conductivity
cavities
Garnets
polymers
Beam plasma interactions
leakage
Charge carriers
Carrier concentration
Boundary conditions
garnets
charge carriers
boundary conditions
low frequencies
approximation
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

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.

In: Journal of Chemical Physics, Vol. 92, No. 7, 1990, p. 4491-4500.

Research output: Contribution to journalArticle

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