Electrochemical Impedance Imaging via the Distribution of Diffusion Times
Author(s)
Song, Juhyun; Bazant, Martin Z
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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.
Date issued
2018-03Department
Massachusetts Institute of Technology. Department of Chemical Engineering; Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
0031-9007
1079-7114