Diffusion (Warburg) impedance is generalized for irregular electrode surfaces characterized by their fractal dimension Df. The frequency exponent of the impedance is shown to be (Df-1)/2, a result verified by computer simulation.
Diffusion to fractal surfaces—V. quasi-random interfaces
✍ Scribed by A.P. Borosy; L. Nyikos; T. Pajkossy
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 295 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0013-4686
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✦ Synopsis
The validity of a particular fractal modification of the Cottrell equation is verified by computer simulation for quasi-random boundaries.
📜 SIMILAR VOLUMES
Decay of the diffusion controlled current of particles diffusing from an initially homogeneous medium to a completely absorbing fractal boundary was previously shown to exhibit z-time-dependence instead of the conventional t -1/2 one with the exponent a being determined by the fractal dimension, D r
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 = --Q instead of q = -l/2 to bring the fract