New methods are introduced for determining the fractal dimension d(f)
of a surface from cyclic voltammograms. The separation between current
peaks is strongly dependent on d(f), provided that the current is dif
fusion limited. We also derive a new Randles-Sevcik equation-relating
the diffusion coefficient to the peak current of a voltammogram-that h
olds for electrodes with fractal surfaces. This equation gives a simpl
e additional method of determining d(f) from voltammetry using recordi
ngs of the peak current at different scan rates.