Polymer electrolytes: The importance of ion-ion interactions in diffusion dominated behavior

Mark C. Lonergan; Duward F. Shriver; Mark A. Ratner

doi:10.1016/0013-4686(95)00139-6

Polymer electrolytes: The importance of ion-ion interactions in diffusion dominated behavior

Mark C. Lonergan, Duward F. Shriver, Mark A. Ratner

Northwestern University

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

Monte Carlo simulations combined with analytic results based on the dynamically disordered hopping model are used to show that even in the presence of ion-ion interactions, the conductivity of polymer electrolytes is diffusion dominated. Coulomb interactions between charge carriers do result in some collective correlations that affect the conductivity, as evidenced by deviations from the Nernst Einstein equation, but the action of these interactions on the diffusivity overshadows these effects. Furthermore, these results show that renewal limited behavior (the diffusion coefficient depends linearly on the host's renewal rate) can persist even in the presence of these interactions. These studies help resolve the role ion-ion interactions play in renewal dominated behavior.

Original language	English
Pages (from-to)	2041-2048
Number of pages	8
Journal	Electrochimica Acta
Volume	40
Issue number	13-14
DOIs	https://doi.org/10.1016/0013-4686(95)00139-6
Publication status	Published - Oct 1995

Keywords

Coulomb interactions
conductivity
diffusivity
dynamically disordered hopping
ion-ion interactions
polymer electrolytes

ASJC Scopus subject areas

Chemical Engineering(all)
Electrochemistry

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title = "Polymer electrolytes: The importance of ion-ion interactions in diffusion dominated behavior",

abstract = "Monte Carlo simulations combined with analytic results based on the dynamically disordered hopping model are used to show that even in the presence of ion-ion interactions, the conductivity of polymer electrolytes is diffusion dominated. Coulomb interactions between charge carriers do result in some collective correlations that affect the conductivity, as evidenced by deviations from the Nernst Einstein equation, but the action of these interactions on the diffusivity overshadows these effects. Furthermore, these results show that renewal limited behavior (the diffusion coefficient depends linearly on the host's renewal rate) can persist even in the presence of these interactions. These studies help resolve the role ion-ion interactions play in renewal dominated behavior.",

keywords = "Coulomb interactions, conductivity, diffusivity, dynamically disordered hopping, ion-ion interactions, polymer electrolytes",

author = "Lonergan, {Mark C.} and Shriver, {Duward F.} and Ratner, {Mark A.}",

note = "Funding Information: Acknowledgements-We wish to acknowledge the USDOE (Award No. DE-FGOZ-85ER45220), the Energy and Environmental Division of Lawrence/Berkeley Laboratories-USDOE (Subcontract No. 45941l o), and the Pittsburgh Supercomputing Center (Grant No. CHE940007P) for suaportinp. . . - this research. M.C.L. acknowledges the NSF for a predoctoral fellowship, and we are grateful to Stephen D. Druger, Abraham Nitzan, and John W. Perram for helpful discussions.",

year = "1995",

month = oct,

doi = "10.1016/0013-4686(95)00139-6",

language = "English",

volume = "40",

pages = "2041--2048",

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T2 - The importance of ion-ion interactions in diffusion dominated behavior

AU - Lonergan, Mark C.

AU - Shriver, Duward F.

AU - Ratner, Mark A.

N1 - Funding Information: Acknowledgements-We wish to acknowledge the USDOE (Award No. DE-FGOZ-85ER45220), the Energy and Environmental Division of Lawrence/Berkeley Laboratories-USDOE (Subcontract No. 45941l o), and the Pittsburgh Supercomputing Center (Grant No. CHE940007P) for suaportinp. . . - this research. M.C.L. acknowledges the NSF for a predoctoral fellowship, and we are grateful to Stephen D. Druger, Abraham Nitzan, and John W. Perram for helpful discussions.

PY - 1995/10

Y1 - 1995/10

N2 - Monte Carlo simulations combined with analytic results based on the dynamically disordered hopping model are used to show that even in the presence of ion-ion interactions, the conductivity of polymer electrolytes is diffusion dominated. Coulomb interactions between charge carriers do result in some collective correlations that affect the conductivity, as evidenced by deviations from the Nernst Einstein equation, but the action of these interactions on the diffusivity overshadows these effects. Furthermore, these results show that renewal limited behavior (the diffusion coefficient depends linearly on the host's renewal rate) can persist even in the presence of these interactions. These studies help resolve the role ion-ion interactions play in renewal dominated behavior.

AB - Monte Carlo simulations combined with analytic results based on the dynamically disordered hopping model are used to show that even in the presence of ion-ion interactions, the conductivity of polymer electrolytes is diffusion dominated. Coulomb interactions between charge carriers do result in some collective correlations that affect the conductivity, as evidenced by deviations from the Nernst Einstein equation, but the action of these interactions on the diffusivity overshadows these effects. Furthermore, these results show that renewal limited behavior (the diffusion coefficient depends linearly on the host's renewal rate) can persist even in the presence of these interactions. These studies help resolve the role ion-ion interactions play in renewal dominated behavior.

KW - Coulomb interactions

KW - conductivity

KW - diffusivity

KW - dynamically disordered hopping

KW - ion-ion interactions

KW - polymer electrolytes

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Polymer electrolytes: The importance of ion-ion interactions in diffusion dominated behavior

Abstract

Keywords

ASJC Scopus subject areas

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