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[Ma - Linear Modified Restricted Diffusion]

Open svmchop opened this issue 3 years ago • 1 comments

This element describes linear modified restricted diffusion in a more advanced manner as compared to the open (finite-space) Warburg element.

Z(w) = (R/gamma) * coth(gamma)

where, Z = impedance, R = resistance and gamma = (𝛕jw)^(α/2) In gamma, w = angular frequency, 𝛕 = diffusion time constant = (L^2)/D and α = dispersion parameter.

The impedance of the element Ma has two components: at higher frequencies a straight line that forms an angle of -απ/4 with the real axis and at lower frequencies a straight line forming an angle of -απ/2 with the real axis. Hence, it provides more flexibility as compared to the open Warburg element, in which the lower frequency line is perpendicular to real axis

The following references give a detailed description of the electrochemical model:

  1. R. Cabanel, G. Barral, J.-P. Diard, B. Le Gorrec, C. Montella, J. Appl. Chem. 23 (1993) 93.

I have also included a data set on which this element applies Sample EIS Data for Modified Linear Diffusion Element.txt

svmchop avatar Sep 29 '21 08:09 svmchop

With the addition of custom elements in #219 can we close this?

BGerwe avatar Jun 24 '23 18:06 BGerwe