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Fractal growth of copper electrodeposits

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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 MRD was observed with D = 2.43 ±0.03, in good agreement with computer simulations of diffusion-limited aggregation.

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References

  1. Langer, J. Rev. Mod. Phys. 52, 1–28 (1980).

    Article  ADS  CAS  Google Scholar 

  2. Witten, T. A. & Sander, L. M. Phys. Rev. Lett. 47, 1400–1403 (1981).

    Article  ADS  CAS  Google Scholar 

  3. Mandelbrot, B. B. The Fractal Geometry of Nature (Freeman, San Francisco, (1977).).

    Google Scholar 

  4. Hausdorff, F. Math. Ann 79, 157–179 (1919).

    Article  Google Scholar 

  5. Meakin, P. Phys. Rev. A27, 604–607, 1495–1507 (1983).

    Article  ADS  Google Scholar 

  6. Forrest, S. R. & Witten, T. A. Jr J. Phys. A12, L109–L117 (1979).

    ADS  CAS  Google Scholar 

  7. von Smoluchovski, M. Phys. Z. 17, 557–571, 585–599 (1916); Z. Phys. Chem. 92, 129–143 (1917).

    Google Scholar 

  8. Handbook of Chemistry and Physics 60th edn (CRC Press, 1980).

  9. Smithsonian Physical Tables9th edn 398–399 (1954).

  10. 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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