Fractal structures of zinc metal leaves grown by electrodeposition

M. Matsushita, M. Sano, Y. Hayakawa, Haruo Honjo, Y. Sawada

Research output: Contribution to journalArticle

626 Citations (Scopus)

Abstract

Zinc metal leaves are grown two-dimensionally by electrodeposition. The structures clearly remind us of the random patterns simulated by computer according to the Witten-Sander diffusion-limited-aggregation model. The scale invariance is tested by computing the density-density correlation function for the digitized patterns of the photographs. The Hausdorff dimension averaged over many examples is D=1.66±0.03, which is in excellent agreement with that of the two-dimensional diffusion-limited-aggregation model (D≅53).

Original languageEnglish
Pages (from-to)286-289
Number of pages4
JournalPhysical Review Letters
Volume53
Issue number3
DOIs
Publication statusPublished - Jan 1 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Matsushita, M., Sano, M., Hayakawa, Y., Honjo, H., & Sawada, Y. (1984). Fractal structures of zinc metal leaves grown by electrodeposition. Physical Review Letters, 53(3), 286-289. https://doi.org/10.1103/PhysRevLett.53.286