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Fractal growth of copper electrodeposits

Nature volume 309, pages 225–229 (1984)Cite this article

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

  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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Authors and Affiliations

  1. Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge, CB3 0HE, UK

    R. M. Brady & R. C. Ball

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  1. R. M. Brady
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  2. R. C. Ball
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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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