arXiv · 1709.04147
Electrochemical Impedance Imaging via the Distribution of Diffusion Times
Abstract
We develop a mathematical framework to analyze electrochemical impedance spectra in terms of a distribution of diffusion times (DDT) for a parallel array of random finite-length Warburg (diffusion) or Gerischer (reaction-diffusion) circuit elements. A robust DDT inversion method is presented based on Complex Nonlinear Least Squares (CNLS) regression with Tikhonov regularization and illustrated for three cases of nanostructured electrodes for energy conversion: (i) a carbon nanotube supercapacitor, (ii) a silicon nanowire Li-ion battery, and (iii) a porous-carbon vanadium flow battery. The results demonstrate the feasibility of non-destructive "impedance imaging" to infer microstructural statistics of random, heterogeneous materials.
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Juhyun Song, Martin Z. Bazant. 2017-09-13. Electrochemical Impedance Imaging via the Distribution of Diffusion Times. https://doi.org/10.1103/physrevlett.120.116001
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