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Stochastic model of lithium ion conduction in poly(ethylene oxide)
Author(s) -
L. Gitelman,
Amir Averbuch,
M. Nathan,
Z. Schuss,
Diana Golodnitsky
Publication year - 2010
Publication title -
journal of applied physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.699
H-Index - 319
eISSN - 1089-7550
pISSN - 0021-8979
DOI - 10.1063/1.3357272
Subject(s) - thermal conduction , ethylene oxide , ion , lithium (medication) , conductivity , materials science , exponential function , diffusion , ionic conductivity , polyethylene , chemical physics , oxide , ion transporter , activation energy , chemistry , thermodynamics , polymer , physics , composite material , organic chemistry , electrolyte , mathematics , medicine , mathematical analysis , electrode , metallurgy , copolymer , endocrinology
We develop, analyze, and simulate a physical model of Li+-ion conduction inside polyethylene oxide (PEO) helical tubes, which are the solvent of LiI salt. The current is due to difiusion and electric interactions with a permanent external fleld, the PEO charges, and ion-ion interactions. Potential barriers are created in the PEO by loops in structure. We calculate the energy of conflgurations of one or two lithium ions in the loop and derive an explicit expression for the activation energy. We use Kramers' formula to calculate the conductivity as function of mechanical stretching, which lowers the barrier and causes an exponential rise in the output conductivity.

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