Abstract
Black dendritic growths of copper were electrodeposited in steady-state diffusion-limited conditions onto an initially point-like cathode. Their spatial extent R was inferred from the increased current and their mass M from the total charge transferred. Fractal behaviour M∝RD was observed with D = 2.43 ±0.03, in good agreement with computer simulations of diffusion-limited aggregation.
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References
Langer, J. Rev. Mod. Phys. 52, 1–28 (1980).
Witten, T. A. & Sander, L. M. Phys. Rev. Lett. 47, 1400–1403 (1981).
Mandelbrot, B. B. The Fractal Geometry of Nature (Freeman, San Francisco, (1977).).
Hausdorff, F. Math. Ann 79, 157–179 (1919).
Meakin, P. Phys. Rev. A27, 604–607, 1495–1507 (1983).
Forrest, S. R. & Witten, T. A. Jr J. Phys. A12, L109–L117 (1979).
von Smoluchovski, M. Phys. Z. 17, 557–571, 585–599 (1916); Z. Phys. Chem. 92, 129–143 (1917).
Handbook of Chemistry and Physics 60th edn (CRC Press, 1980).
Smithsonian Physical Tables9th edn 398–399 (1954).
Nauenberg, M., Richter, R. & Sander, L. M. Preprint NSF ITP 83-60 (1984).
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Brady, R., Ball, R. Fractal growth of copper electrodeposits. Nature 309, 225–229 (1984). https://doi.org/10.1038/309225a0
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DOI: https://doi.org/10.1038/309225a0
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