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On the elastic behavior of composition-modulated superlattices

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Abstract

Atomistic computer simulations are used to systematically investigate the role of interfacial disorder on the elastic behavior of composition-modulated superlattices of fcc metals, represented by simple Lennard–Jones potentials. The structures, energies, and average elastic properties of four types of superlattices with various degrees of interfacial disorder are computed as a function of the modulation wavelength along [001]. The four superlattice types studied include perfectly coherent, incoherent, and two types derived from these by introducing relative twists about [001] between alternating layers. A 20% lattice-parameter mismatch between the two modulating materials is assumed. Results are compared with our earlier work on unsupported thin films, grain-boundary superlattices, and incoherent superlattices with a 10% lattice-parameter mismatch. The degree of structural disorder at the interfaces is found to correlate well with the magnitude of the elastic anomalies, which cannot be accounted for by anisotropic lattice-parameter changes alone. The grain-boundary superlattices studied earlier are found to provide a good model limit for the elastic behavior of interfacially disordered dissimilar-material superlattices.

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References

  1. W.M.C. Yang, T. Tsakalakos, and J.E. Hilliard, J. Appl. Phys. 48, 876 (1977).

  2. R. G. Brandt, Mater. Sci. Eng. B6, 95 (1990).

    Article  CAS  Google Scholar 

  3. I. K. Schuller, in The Institute of Electrical and Electronics Engineers Ultrasonics Symposium, 1985, edited by B.R. McAvoy (IEEE, New York, 1985), p. 1093; I. K. Schuller, A. Fartash, and M. Grimsditch, MRS Bull. XV (10), 33 (1990).

    Article  Google Scholar 

  4. M. H. Grimsditch, in Topics in Applied Physics: Light Scattering in Solids V, edited by M. Cardona and G. Güntherodt (Springer-Verlag, Berlin, 1989), p. 285.

    Chapter  Google Scholar 

  5. B. M. Clemens and G. L. Eesley, Phys. Rev. Lett. 61, 2356 (1988).

    Article  CAS  Google Scholar 

  6. U. Helmersson, S. Todorova, S.A. Barnett, and J.E. Sundgren, J. Appl. Phys. 62, 481 (1987).

    Article  CAS  Google Scholar 

  7. G. E. Henein and J. E. Hilliard, J. Appl. Phys. 54, 728 (1983).

  8. T. Tsakalakos and J. E. Hilliard, J. Appl. Phys. 54, 734 (1983).

  9. J. R. Dutcher, S. Lee, J. Kim, G. I. Stegeman, and C. M. Falco, Phys. Rev. Lett. 65, 1231 (1990).

    Article  CAS  Google Scholar 

  10. W. E. Pickett, J. Phys. F 12, 2195 (1982).

    Article  CAS  Google Scholar 

  11. T.B. Wu, J. Appl. Phys. 53, 5265 (1982).

  12. M. L. Hubermann and M. Grimsditch, Phys. Rev. Lett. 62, 1403 (1989).

    Article  Google Scholar 

  13. I. K. Schuller and A. Rahman, Phys. Rev. Lett. 50, 1377 (1983).

  14. A. I. Jankowski and T. Tsakalakos, J. Phys. F 15, 1279 (1985).

    Article  Google Scholar 

  15. A. I. Jankowski, J. Phys. F 18, 413 (1988).

  16. R.C. Cammarata and K. Sieradzki, Phys. Rev. Lett. 62, 2005 (1989).

    Article  CAS  Google Scholar 

  17. D. Wolf and J.F. Lutsko, Phys. Rev. Lett. 60, 1170 (1988).

  18. D. Wolf and J. F. Lutsko, J. Appl. Phys. 66, 1961 (1989); D. Wolf and J.F. Lutsko, in Metal-Ceramic Interfaces, edited by M. Rühle, A. G. Evans, M. F. Ashby, and J. P. Hirth (Pergamon Press, Oxford, 1990), p. 52.

    Chapter  Google Scholar 

  19. D. Wolf and J.F. Lutsko, J. Mater. Res. 4, 1427 (1989).

    Article  CAS  Google Scholar 

  20. D. Wolf, Mater. Sci. Eng. A126, 1 (1990).

    Article  CAS  Google Scholar 

  21. S. R. Phillpot and D. Wolf, Scripta Metall. Mater. 24, 1109 (1990).

  22. M. S. Daw and M. I. Baskes, Phys. Rev. B 29, 6443 (1984).

    Article  CAS  Google Scholar 

  23. B.W. Dodson, Phys. Rev. B 37, 727 (1988).

    Article  CAS  Google Scholar 

  24. R. S. Jones and J. W. Mintmire, private communication; see also Bull. Am. Phys. Soc. 35, 780 (1990); J. W. Mintmire, Mater. Sci. Eng. A126, 29 (1990).

    Google Scholar 

  25. J. A. Jaszczak, S.R. Phillpot, and D. Wolf, J. Appl. Phys. 68, 4573 (1990).

  26. W. A. Jesser and J. H. van der Merwe, in Dislocations in Solids, edited by F. R. N. Nabarro (Elsevier, Amsterdam, 1989), p. 421.

    Google Scholar 

  27. I. R. McDonald, Mol. Phys. 23, 41 (1972).

  28. D. Wolf, Acta Metall. 37, 1983 (1989).

  29. M.D. Kluge, D. Wolf, J.F. Lutsko, and S.R. Phillpot, J. Appl. Phys. 67, 2370 (1990).

  30. D. Wolf, J. Lutsko, and M. Kluge, in Atomistic Simulations of Materials, edited by V. Vitek and D. J. Srolovitz (Plenum Press, New York, 1989), p. 245.

    Chapter  Google Scholar 

  31. D. Wolf, Surf. Sci. 225, 117 (1990).

    Article  CAS  Google Scholar 

  32. D. Wolf, Acta Metall. 32, 245 (1984).

  33. J. F. Lutsko, J. Appl. Phys. 65, 2991 (1989).

    Article  Google Scholar 

  34. J. B. Adams, W. G. Wolfer, and S. M. Foiles, Phys. Rev. B 40, 9479 (1989).

    Article  CAS  Google Scholar 

  35. Compare S. R. Phillpot, D. Wolf, and J. F. Lutsko, J. Appl. Phys. 67, 6747 (1990).

  36. M. H. Grimsditch, Phys. Rev. B 31, 6818 (1985).

    Article  CAS  Google Scholar 

  37. J. H. van der Merwe and W. A. Jesser, J. Appl. Phys. 63, 1509 (1988).

  38. W. A. Jesser and J. H. van der Merwe, J. Appl. Phys. 63, 1928 (1988).

  39. I. K. Schuller and M. Grimsditch, J. Vac. Sci. Technol. B 4, 1444 (1986).

    Article  CAS  Google Scholar 

  40. A. Kueny, M. Grimsditch, K. Miyano, I. Banerjee, C.M. Falco, and I. K. Schuller, Phys. Rev. Lett. 48, 166 (1982).

  41. J.A. Bell, W.R. Bennett, R. Zanoni, G.I. Stegeman, C.M. Falco, and C. T. Seaton, Solid State Commun. 64, 1339 (1987).

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Jaszczak, J.A., Wolf, D. On the elastic behavior of composition-modulated superlattices. Journal of Materials Research 6, 1207–1218 (1991). https://doi.org/10.1557/JMR.1991.1207

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