Diffusion to fractal surfaces-III. Linear sweep and cyclic voltammograms
作者： Tamás Pajkossy , Lajos Nyikos
DOI: 10.1016/0013-4686(89)87083-5
关键词: Fractal dimension 、 Fractal 、 Boundary (topology) 、 Transformation (function) 、 Thermodynamics 、 Electrical impedance 、 Cyclic voltammetry 、 Fractal derivative 、 Diffusion (business) 、 Materials science
摘要: Abstract The expressions describing the shape of voltammograms reversible redox couples are generalized for a fractal boundary. It is shown that they analogous to conventional ones except need use Riemann-Liouville transformation order q= −α instead − 1 2 bring voltammogram same simple and perturbation-invariant form. −α, determined by dimension, Df, interface as α=(Df−1)/2, fractional value which appears in Cottrell expression Warburg impedance. theoretical results verified computer simulation direct experiment electrodes.
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