UBC Undergraduate Research

Determination of a correlation between applied voltage and fractal dimension of an electrodeposited aggregate formed by DLA-based clustering Enns, John


The accumulation of solid copper in a 2-dimensional electrolytic cell can be modeled by diffusion limited aggregation of particles undergoing Brownian motion. The resulting aggregate forms an approximate fractal shape. It is hypothesized that the fractal dimension of such aggregates will correspond positively with the voltage applied to the cell. Measurement of the fractal dimension of aggregates formed at voltages of 8 V, 12 V and 16 V are made through use of the box-counting technique, showing statistically significant mean dimensions of 1.28 ± 0.04, 1.51 ± 0.01 and 1.65 ± 0.02 respectively. A conclusion is made supporting the hypothesis.

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