Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-02T23:20:52.696Z Has data issue: false hasContentIssue false

Coherency Strain of an Overgrown Island

Published online by Cambridge University Press:  25 February 2011

J. K. Lee
Affiliation:
Department of Metallurgical Engineering, Michigan Technological University, Houghton, MI 49931
S. A. Hackney
Affiliation:
Department of Metallurgical Engineering, Michigan Technological University, Houghton, MI 49931
Get access

Abstract

The lattice misfit strain in an overgrown island is considered to be accommodated by twodistinctive domains; a pure coherency domain (ε domain) and a domain of misfit dislocations (δ domain). By introducing such two different constituents, the model predicts the transition condition from a “single phase” state (ε phase) to a “two-phase mixture” (ε+δ) as a function of misfit strain. Further, as in the chemical thermodynamics of a binary alloy system, energy vs. misfit strain diagrams allow us to understand possible existence of various metastable states which may be associated with an overgrowth.

Type
Research Article
Copyright
Copyright © Materials Research Society 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Merwe, J. H. van der and Ball, C. A. B., in Epitaxial Growth: Part B, edited by Matthews, J. W. (Academic Press, N.Y., 1975), p. 493.Google Scholar
2. Matthews, J. W., ibid., p. 559.Google Scholar
3. People, R. and Bean, J. C., Appl. Phys. Lett., 47, 322 (2985)Google Scholar
4. Jesser, W. A. and Kuhlmann-Wilsdorf, D., phys. stat. sol., 19, 95 (1967)Google Scholar
5. Hoover, W. G., Ashurst, W. T., and Olness, R. J., J. Chem. Phy., 60, 4043 (1974)Google Scholar
6. Lee, J. K. in Micromechanics and Inhomogeneity, edited by Weng, G. J., Taya, M. and Abe, H., (Springer-Verlag, N.Y., 1989), in press.Google Scholar
7. Eshelby, J. D., Prog. in Solid Mechanics, 2, 89 (1961)Google Scholar
8. Mura, T., Hicromechanics of Defects in Solids, 2nd. ed., (Martinus Nijhoff, Dordrecht, 1987), p. 38.Google Scholar
9. Khachaturyan, A. G., Theory of Structural Transformations in Solids, (Wiley, N.Y., 1983), p. 213.Google Scholar
10. Lee, J. K., Barnett, D. M. and Aaronson, H. I., Met. Trans., 8A, 963 (1977)Google Scholar
11. Gaskell, D. R., Introduction to Metallurgical Thermodynamics, 2nd. ed., (McGraw Hill, N.Y. 1981), p. 378.Google Scholar
12. Bean, J. C., Feldman, L. C., Fiory, A. T., Nakahara, S., and Robinson, I. K., J. Vac. Sci. Technol., A2, 436 (1984)Google Scholar
13. Fiory, A. T., Bean, J. C., Hull, R. and Nakahara, S., Phys. Rev., B31, 4063 (1985)Google Scholar
14. Lee, J. K. and Hackney, S. A., research in progress at Michigan Technological University, (1989)Google Scholar