Diffusion-controlled potentiostatic current transients on realistic fractal electrodes

Theory for Anomalous Response in Cyclic Staircase Voltammetry: Electrode Roughness and Unequal Diffusivities

“…If CV data is not corrected for the double layer contributions, it will give rise to an apparent fractal dimension by an electrochemical approach. We have shown amply in our various publications 22,27,36 that not only the fractal dimension is responsible for electrochemical In order to include the effects of using a nonvirgin experimental cycle, theoretical voltammograms used to fit data were taken from the second cycle (which is quite different from the first). Experimental cyclic voltammograms are well in agreement with those theoretically predicted.…”

Generalization of Randles-Ershler admittance for an arbitrary topography electrode: application to random finite fractal roughness

“…Recently, theories for diffusion limited charge transfer process on rough electrode are developed to generalize various fundamental equations for smooth electrodes: Warburg [22], Gerischer [25], Anson [62,66], quasi-reversible charge transfer admittance has been developed for finite fractal electrodes [63,65]. Similarly, theories for the anomalous Cottrell [64,68,67] and anomalous Warburg admittance [61,22] with ohmic effects [23,69] in rough electrode modeled as finite fractals have also been developed. Kant and coworkers have also developed a deep insight in electric double layer.…”

New approach of electrochemical systems dynamics in the time domain under small-signal conditions: III – Discrimination between nine candidate models for analysis of PITT experimental data from LixCoO2 film electrodes

“…The above analysis was refined recently in a series of articles by Kant and co-workers [89][90][91] who presented the theory of anomalous diffusion impedance of realistic random fractal electrodes. The theory covers the case of diffusion-controlled processes in a semiinfinite medium, with the interfacial irregularity being modelled by a random fractal.…”

“…The theory covers the case of diffusion-controlled processes in a semiinfinite medium, with the interfacial irregularity being modelled by a random fractal. This model predicts that the electrode response in the frequency-domain (EIS) [90] as well as in the time domain (potential step method) [91] depends not only on the fractal dimension of roughness (d F ), but also on the lower and upper cut-off lengths, as well as the strength of fractality. Quantitative analysis of experimental data through the above model requires a clear power spectral characterization of electrode roughness [89].…”