Fractal structures of interface of zinc and cadmium metal leaves formed by electrodeposition

Abstract

Two-dimensional zinc metal leaves and cadmium metal leaves have been grown by electrodeposition. The experiment shows that the metal leaves have a characteristic scaling property of interface dimension C besides their Hausdorff dimension D. Analysing these two leaves, we find that both the number of sites N of the leaves and the number of sites adjacent Na, which is not belonging to the interfaces of the leaves, i.e., the number of nearest-neighbors, follow a power-law with the radius of gyration Rg as the variable, i.e., N=RgD and Na=RgC where D ∼ 1.60, C ∼ 1.55.