Numerical inversion of Laplace transforms.: A useful tool for evaluation of chemical diffusion coefficients in ion-insertion electrodes investigated by PITT

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• 作者：C. Montella ; R. Michel ; J.P. Diard
• 关键词：PITT ; Diffusion coefficient ; Intercalation ; Numerical inversion of Laplace transforms ; Non-linear fit
• 刊名：Journal of Electroanalytical Chemistry
• 出版年：2007
• 期刊代码：27_00220728
• 类别：ph
• 出版时间：15 September 2007
• 卷：608
• 期：1
• 页码：37-46
• 文件大小：296 K

摘要

This work starts with PITT experimental data reported by Xia et al. from thin-film LiCoO₂ electrodes prepared on a Si substrate by pulse laser deposition. In this article, we show that (i) the value of chemical diffusion coefficient of lithium-ion evaluated by graphical processing techniques is often erroneous, (ii) non-linear curve fitting is a better approach for accurate determination of thermodynamic, kinetic and diffusion parameters of ion-insertion electrodes from PITT data, (iii) the concept of anomalous diffusion can be applied to ion-insertion electrodes investigated by PITT, (iv) numerical inversion of Laplace transforms is a useful tool to derive the relevant model for representation of PITT data and (v) implementation of the whole calculation procedure becomes an easy task in the environment of Mathematica or other equivalent softwares.