Electrochemical Impedance Imaging via the Distribution of Diffusion Times
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PhysRevLett.120.116001.pdf
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Author(s) •
Song, Juhyun
Bazant, Martin Z
Date Issued
March 2018
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Song, Juhyun and Martin Z. Bazant. "Electrochemical Impedance Imaging via the Distribution of Diffusion Times." Physical Review Letters 120, 11 (March 2018): 116001 © 2018 American Physical Society
Version
Final published version
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 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 nondestructive “impedance imaging” to infer microstructural statistics of random, heterogeneous materials.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.120.116001