2000
DOI: 10.1149/1.1393279
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Modeling Lithium Intercalation of a Single Spinel Particle under Potentiodynamic Control

Abstract: A mathematical model is presented for the lithium intercalation of a single spinel particle as a microelectrode under the stimulus of a cyclic linear potential sweep. The model includes both lithium diffusion within the particle and kinetics at the particle/electrolyte interface. The model is used to predict that peak current densities depend linearly on the scan rate to a certain power with a constant term, which is different from the predicted peak current density for a conventional redox system.

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Cited by 173 publications
(129 citation statements)
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References 23 publications
(57 reference statements)
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“…For the latter, both decoupled [35] and coupled [37][38][39] numerical solutions are available. Importantly, the error induced by decoupling approximation is shown to be proportional to the squire of the molar expansion tensor and generally does not exceed 30% [38], well below the uncertainty of tip-surface contact radius in a typical SPM experiment.…”
Section: Mechanical Displacement Caused By Ionic Diffusionmentioning
confidence: 99%
“…For the latter, both decoupled [35] and coupled [37][38][39] numerical solutions are available. Importantly, the error induced by decoupling approximation is shown to be proportional to the squire of the molar expansion tensor and generally does not exceed 30% [38], well below the uncertainty of tip-surface contact radius in a typical SPM experiment.…”
Section: Mechanical Displacement Caused By Ionic Diffusionmentioning
confidence: 99%
“…Based on electrochemical kinetics and transport equations they can simulate cell characteristics and intercalation as well as side reactions. 19,20 The best-known electrochemistrybased models are the pseudo two-dimensional (P2D) model developed by Newman and co-workers [28][29][30] and the single particle model (SPM) first introduced by Zhang et al 31 The often proved accuracy and agreement with experimental data of the P2D model originate from its basic implementation of porous electrode theory as well as concentrated solution theory. 28,32 Up to today, the P2D model represents the most precise and -though computationally costly -most popular model in lithium-ion battery research.…”
mentioning
confidence: 99%
“…Second, variations of the electrolyte concentration and potential are ignored. 30 Equations 1 and 5 of Table II are the governing equations of the SPM. These equations comprise the solid-state concentration and the Butler-Volmer kinetics equations at both negative and positive electrodes.…”
Section: Direct Models Of Li-ion Batteriesmentioning
confidence: 99%