Electrochemical Impedance Imaging via the Distribution of Diffusion Times

Juhyun Song and Martin Z. Bazant
Phys. Rev. Lett. 120, 116001 – Published 15 March 2018
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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.

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  • Received 15 September 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.116001

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Juhyun Song1 and Martin Z. Bazant1

  • 1Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *bazant@mit.edu

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Issue

Vol. 120, Iss. 11 — 16 March 2018

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