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Electrochemistry of fractal surfaces

Pajkossy, T. (2017) Electrochemistry of fractal surfaces. Encyclopedia of Interfacial Chemistry: Surface Science and Electrochemistry.

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Abstract

The theories and expressions of electrochemistry have usually been derived by assuming some simple electrode geometry ensuring homogeneous current distribution along the surface. This is often not the case for practical electrodes: surface roughness, porosity and non-uniform surface activity cause current density inhomogeneities which in turn make the overall electrochemical behaviour complicated. One possible way of taking geometrical irregularities into account is to model the surfaces by fractals, whose most obvious feature is their blow-up symmetry. A number of theories exist for various electrochemical situations involving electrodes of irregular, fractal, geometries; two groups of are important as archetypes. The subject of the first is the frequency dependence of the impedance of a system comprised of a capacitive electrode of fractal geometry and a resistive electrolyte. The second is the time-dependence of the diffusional flux to an electrode of fractal geometry following an electrode potential jump making the electrode initially inactive to become reactive. The resulting equations, respectively for the frequency- and time-functions, are of power-law functions.

Item Type: Article
Uncontrolled Keywords: roughness, porousity, geometrical irregularity, fractal, Hausdorff dimension, current density distribution, inhomogeneity, diffusion, double layer capacitance, impedance, power-law distribution, constant phase element, capacitance dispersion
Subjects: Q Science / természettudomány > QD Chemistry / kémia
Q Science / természettudomány > QD Chemistry / kémia > QD02 Physical chemistry / fizikai kémia
Depositing User: Tamás Pajkossy
Date Deposited: 03 Sep 2017 14:16
Last Modified: 31 Mar 2018 23:16
URI: http://real.mtak.hu/id/eprint/61352

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