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On the Selection Rules for the Identification of “Special” Interfaces

Published online by Cambridge University Press:  22 February 2011

D. Wolf*
Affiliation:
Materials Science and Technology Division, Argonne National Laboratory, Argonne, IL 60439
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Abstract

It is demonstrated that the most important geometrical parameter governing the identification of “special” interfaces is the interplanar spacing of the lattice planes parallel to the interfacial plane and not, as often assumed, the inverse density of coincident-site lattice points, Σ. A simple geometrical selection rule for the identification of “special” or “favored” boundaries is formulated on the basis of the interplanar lattice constant.

Type
Research Article
Copyright
Copyright © Materials Research Society 1985

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References

1. Bollmann, W., Crystal Defects and Crystalline Interfaces (Springer Verlag, New York, 1980).Google Scholar
2. Schober, T. and Balluffi, R. W., Phil. Mag. 21, 109 (1970).Google Scholar
3. Herrmann, G., Gleiter, H., and Barö, G., Acta Metall. 24, 353 (1976).CrossRefGoogle Scholar
4. Hasson, G., Boos, J. Y., Herbeuval, I., Biscondi, M., and Goux, C., Surf. Sci. 31, 115 (1972).CrossRefGoogle Scholar
5. Dhalenne, G., Dechamps, M., and Revcolevshi, A., Comm. Am. Ceram. Soc. C11 (1982).Google Scholar
6. Duffy, D. M. and Tasker, P. W., Phil. Mag. A 48, 155 (1983).CrossRefGoogle Scholar
7. Wolf, D., Acta Metall. 32, 245 (1984) and D. Wolf, Acta Metall. A 48, 735 (1984).Google Scholar
8. Wolf, D., J. Am. Ceram.Soc. 67, 1 (1984) and Phil. Mag. A 49, 823 (1984).CrossRefGoogle Scholar
9. Goodhew, P. J., in Grain-Boundary Structure and Kinetics (ASM, Metals Park, 1980), p. 155 ff.Google Scholar
10. Wolf, D., Proc. Intl. Conf. on “Structure and Properties of Internal Interfaces,” Irsee, West Germany, 1984 (to be published in J. de Physique).Google Scholar
11. Brandon, D. G., Ralph, B., Ranganathan, S., and Wald, M. S., Acta Metall. 12,813 (1964), and Brandon, D. G., Acta Metall. 14, 1479 (1966).CrossRefGoogle Scholar
12. See, for example, Mykura, H. in GrainYoundary Structure and Kinetics (ASM, Metals Park, 1980), p. 445 ff.Google Scholar
13. Goodhew, P. J., Tan, T. Y., and Balluffi, R. W., Acta Metall. 26, 557 (1978).Google Scholar
14. Crocker, A. G., Donegan, M., and Ingle, K. W., Phil. Mag. A 41, 21 (1980).CrossRefGoogle Scholar
15. Read, W. T. and Shockley, W., Phys. Rev. 78, 275 (1950).CrossRefGoogle Scholar
16. See, for example, Eq. (4) in Ref. 9.Google Scholar
17. Sutton, A. P. and Vitek, V., Philos. Trans. R. Soc. London, Ser. A 309, 1 (1983).Google Scholar