The expressions describing the shape of voltammograms of reversible redox couples are generalized for a fractal boundary. It is shown that they are analogous to the conventional ones except for the need to use a Riemann-Liouville transformation of order q= -α instead of q= - 1 2 to bring the fractal voltammogram to the same simple and perturbation-invariant form. The order -α, determined by the fractal dimension, Df, of the interface as α=(Df-1)/2, is the same fractional value which appears in the fractal Cottrell expression and the fractal Warburg impedance. The theoretical results are verified by computer simulation and by direct experiment of fractal electrodes.
ASJC Scopus subject areas
- Chemical Engineering(all)