Homogeneous Reaction, Gerischer Impedance

Homogeneous chemical reactions proceeding or following the electrochemical process affect the process impedance [15, 29, 30, 39], The theory of the impedance of the preceding CE [15, 29, 30, 39, 181-183], following first-order [15, 39, 184—186], dimerization [187], ECE mechanism [15, 188, 189], disproportionation [190], catalytic [191], and other reactions [192-195], has been studied in the literature where E denotes electrochemical and C chemical reactions. Below, an example of the impedance of a CE process will be presented. Readers can find details for other reactions in the cited literature. 

These chemical equations are described by the following system of diffusimi-kinetic equations assuming that the diffusion coefficients of aU species are identical  

4 Impedance of the Faradaic Reactions in the Presence of Mass Transfer 

To solve these equations, the following substitutions may be used  

Following the standard solution procedure and using the initial and boundary conditions the resulting equations are 

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Process models Nemst dielectrics (1894) Warburg diffusion (1901) Finkelstein Solid film (1902) Randles double layer and diffusion impedance (1947) Gerischer two heterogeneous steps with adsorbed intermediate (1955) De Levie porous electrodes (1967) Schuhmann homogeneous reactions and diffusion (1964) Gabrielli generalized impedance (1977) Isaacs LEIS (1992)... 

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