DETERMINATION OF FRACTAL DIMENSION BY CYCLIC I-V STUDIES - THE LAPLACE-TRANSFORM METHOD

A method is introduced for the determination of fractal dimension d(f) from cyclic voltammograms taken on films in contact with an electroly te. It is based on a Laplace transform of the Nernst equations using R iemann-Liouville transform expressions for the surface concentrations. Diffusion-limited conditions are required. The method is applicable e ven when resistance drops are present in the electrolyte or across the film. Our Laplace transform method gave correct results for gold elec trodes with known d(f) and it also provided a fractal dimension of a p artially active In oxide surface in good agreement with that obtained from an independent technique.