Electrochemical porosimetry: Deconvolution of distribution functions
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- Electrochemical porosimetry: Deconvolution of distribution functions
- Song, Hyun-Kon; Jang, Jong H.; Kim, Jae Jeong; Oh, Seung M.
- Deconvolution; Distribution function; Fourier transform; Impedance; Low-pass filtering
- Issue Date
- ELSEVIER SCIENCE INC
- ELECTROCHEMISTRY COMMUNICATIONS, v.8, no.7, pp.1191 - 1196
- Discrete Fourier transform (DFT) was used to deconvolute the distribution of penetrability coefficient (alpha(0)-distribution, equivalent to pore size distribution) from electrochemical impedance data of porous electrodes. The working equation is the Fredholm. integral equation of the first kind to correlate macroscopic impedance data to a theoretical model describing microscopic signal with the alpha(0)-distribution. Simulated and experimental impedance data were tested. Noise observed at high frequencies in Fourier space was removed before inversely Fourier-transforming the alpha(0)-distribution from Fourier space to real space. The accuracy of alpha(0)-distributions deconvoluted by DFT depended on the number, frequency range and quality of impedance data. The examples in this work showed that fairly accurate alpha(0)-distributions could be obtained by DFT deconvolution. Most promising method was to use the alpha(0)-distribution obtained from DFT deconvolution as the first guess to shape the true alpha(0)-distribution. Then, accurate alpha(0)-distributions could be obtained by estimating parameters of the pre-assumed distributions by using complex nonlinear least square fitting.
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