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
W.M.C. Yang, T. Tsakalakos, and J.E. Hilliard, J. Appl. Phys. 48, 876 (1977).
R. G. Brandt, Mater. Sci. Eng. B6, 95 (1990).
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).
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.
B. M. Clemens and G. L. Eesley, Phys. Rev. Lett. 61, 2356 (1988).
U. Helmersson, S. Todorova, S.A. Barnett, and J.E. Sundgren, J. Appl. Phys. 62, 481 (1987).
G. E. Henein and J. E. Hilliard, J. Appl. Phys. 54, 728 (1983).
T. Tsakalakos and J. E. Hilliard, J. Appl. Phys. 54, 734 (1983).
J. R. Dutcher, S. Lee, J. Kim, G. I. Stegeman, and C. M. Falco, Phys. Rev. Lett. 65, 1231 (1990).
W. E. Pickett, J. Phys. F 12, 2195 (1982).
T.B. Wu, J. Appl. Phys. 53, 5265 (1982).
M. L. Hubermann and M. Grimsditch, Phys. Rev. Lett. 62, 1403 (1989).
I. K. Schuller and A. Rahman, Phys. Rev. Lett. 50, 1377 (1983).
A. I. Jankowski and T. Tsakalakos, J. Phys. F 15, 1279 (1985).
A. I. Jankowski, J. Phys. F 18, 413 (1988).
R.C. Cammarata and K. Sieradzki, Phys. Rev. Lett. 62, 2005 (1989).
D. Wolf and J.F. Lutsko, Phys. Rev. Lett. 60, 1170 (1988).
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.
D. Wolf and J.F. Lutsko, J. Mater. Res. 4, 1427 (1989).
D. Wolf, Mater. Sci. Eng. A126, 1 (1990).
S. R. Phillpot and D. Wolf, Scripta Metall. Mater. 24, 1109 (1990).
M. S. Daw and M. I. Baskes, Phys. Rev. B 29, 6443 (1984).
B.W. Dodson, Phys. Rev. B 37, 727 (1988).
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).
J. A. Jaszczak, S.R. Phillpot, and D. Wolf, J. Appl. Phys. 68, 4573 (1990).
W. A. Jesser and J. H. van der Merwe, in Dislocations in Solids, edited by F. R. N. Nabarro (Elsevier, Amsterdam, 1989), p. 421.
I. R. McDonald, Mol. Phys. 23, 41 (1972).
D. Wolf, Acta Metall. 37, 1983 (1989).
M.D. Kluge, D. Wolf, J.F. Lutsko, and S.R. Phillpot, J. Appl. Phys. 67, 2370 (1990).
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.
D. Wolf, Surf. Sci. 225, 117 (1990).
D. Wolf, Acta Metall. 32, 245 (1984).
J. F. Lutsko, J. Appl. Phys. 65, 2991 (1989).
J. B. Adams, W. G. Wolfer, and S. M. Foiles, Phys. Rev. B 40, 9479 (1989).
Compare S. R. Phillpot, D. Wolf, and J. F. Lutsko, J. Appl. Phys. 67, 6747 (1990).
M. H. Grimsditch, Phys. Rev. B 31, 6818 (1985).
J. H. van der Merwe and W. A. Jesser, J. Appl. Phys. 63, 1509 (1988).
W. A. Jesser and J. H. van der Merwe, J. Appl. Phys. 63, 1928 (1988).
I. K. Schuller and M. Grimsditch, J. Vac. Sci. Technol. B 4, 1444 (1986).
A. Kueny, M. Grimsditch, K. Miyano, I. Banerjee, C.M. Falco, and I. K. Schuller, Phys. Rev. Lett. 48, 166 (1982).
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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DOI: https://doi.org/10.1557/JMR.1991.1207