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The effect of surface relaxation and atomic vibration on the equilibrium shape of gold and copper crystallites

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  • Published:
Journal of Computer-Aided Materials Design

Summary

The free energy of surfaces along the <011> pole in gold and copper is determined to assess the effect of surface relaxation and atomic vibration on the equilibrium crystal shape of gold and copper. The Wulff construction is performed on the γ-plots to determine the equilibrium shape of gold and copper crystallites at different temperatures. It is shown that surface relaxation and atomic vibration do not have any discernible effect on the equilibrium shape of EAM gold or copper crystallites. The equilibrium shape of EAM gold crystallites is formed entirely from {111} and {100} facets, while that of EAM copper shows small {110} facets in addition to the {111} and {100} facets.

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References

  1. Wulff, G., Z. Krist. Mineral., 34 (1901) 449.

    Google Scholar 

  2. Herring, C., Phys. Rev., 82 (1951) 87.

    Google Scholar 

  3. Landau, L. and Lifshitz, L., Statistical Physics, 3rd ed., Part 1, Pergamon Press, Oxford, 1980, p. 521.

    Google Scholar 

  4. Heyraud, J.C. and Metois, J.J., Acta Metall., 28 (1980) 1789.

    Google Scholar 

  5. Heyraud, J.C. and Metois, J.J., Surf. Sci., 128 (1983) 334.

    Google Scholar 

  6. Metois, J.J. and Heyraud, J.C., Surf. Sci., 180 (1987) 647.

    Google Scholar 

  7. Eaglesham, D.J., White, A.E., Feldman, L.C., Moriya, N. and Jacobson, D.C., Phys. Rev. Lett., 70 (1993) 1643.

    Google Scholar 

  8. Gruber, E.E. and Mullins, W.W., J Phys. Chem. Solids, 28 (1966) 875.

    Google Scholar 

  9. Rottman, C. and Wortis, M., Phys. Rev., B29 (1984) 328.

    Google Scholar 

  10. Tersoff, J. and Pehlke, E., Phys. Rev., B47 (1993) 4072.

    Google Scholar 

  11. Foiles, S.M., Baskes, M.I. and Daw, M.S., Phys. Rev., B33 (1986) 7983.

    Google Scholar 

  12. LeSar, R., Najafabadi, R. and Srolovitz, D.J., Phys. Rev. Lett., 63 (1989) 624.

    Google Scholar 

  13. Marchenko, V.I. and Parshin, A.Y., Sov. Phys. J. Exp. Theor. Phys., 52 (1981) 129.

    Google Scholar 

  14. Wolf, D. and Jaszczak, J.A., Surf. Sci., 277 (1992) 301.

    Google Scholar 

  15. Najafabadi, R. and Srolovitz, D.J, Surf. Sci., submitted for publication.

  16. Foiles, S.M. and Adams, J.B., Phys. Rev., B40 (1989) 5909.

    Google Scholar 

  17. Foiles, S.M., Phys. Rev. B, (1994) in press.

Download references

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Authors and Affiliations

  1. Department of Materials Science and Engineering, University of Michigan, 48109-2136, Ann Arbor, MI, USA

    R. Najafabadi & D. J. Srolovitz

  2. Department of Materials and Interfaces, Weizmann Institute of Science, 76100, Rehovot, Israel

    D. J. Srolovitz

Authors
  1. R. Najafabadi
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  2. D. J. Srolovitz
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Najafabadi, R., Srolovitz, D.J. The effect of surface relaxation and atomic vibration on the equilibrium shape of gold and copper crystallites. J Computer-Aided Mater Des 1, 187–197 (1994). https://doi.org/10.1007/BF00708709

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  • DOI: https://doi.org/10.1007/BF00708709

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