Fractal Dimensionality of Dendritic Copper Deposits
in a Galvanostatic Electrolysis

I. B. Murashova, V. M. Rudoi, and N. G. Burkhanova

Ural State Technical University, ul. Mira 19, Yekaterinburg, 620002 Russia

Received October 20, 1998

Abstract—Fractal properties of loose copper deposits plated on a cylindrical electrode under galvanostatic
conditions are studied. When using the loose-deposit weight as a measure of a fractal set, the variation of the
current efficiency for the metal during electrolysis is taken into account. Three methods for the calculation of
fractal dimensionality from experimental data are presented. It is found that dendritic deposits possess fractal
properties and have a fractal dimensionality of 2.5–2.8. The latter is independent of the method of its calcula-
tion, but is determined by the electrolysis conditions (depletion coefficient). Loose deposits lose fractal prop-
erties after diffusion limitations are removed from the growth front.

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