Comparison between Electrodeposited Aggregates in Two Dimensions and the Fractal Pattern Calculated by the Witten-Sander Model.
CALIFORNIA UNIV LOS ANGELES DEPT OF CHEMISTRY AND BIOCHEMISTRY
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Copper metal leaves are experimentally grown in two dimensions by their electrodeposition in a field of circular symmetry from a solution of small thickness. The determined fractal D and spectral d dimensions of the deposited aggregates are compared with that determined for the simulated pattern calculated by using the diffusion-limited aggregation method of Witten and Sander using a square lattice. Good agreement is found for the fractal dimension but the value of the spectral dimension, d, is found to be 40 larger for the observed pattern. This results from the fact that the observed pattern has more radial symmetry than the calculated one. This implies that the chemical length from the center to the perimeter of the pattern is minimized during the growth. Possible causes for the observed deviation are discussed.
- Electricity and Magnetism
- Atomic and Molecular Physics and Spectroscopy