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The Many Facets of Interface Motion.

Published online by Cambridge University Press:  21 February 2011

John W. Cahn*
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, MD 20899
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Abstract

Many dynamic growth processes are shown to involve changes in more than one of the nine geometric variable that describe the geometry of a planar interface between crystals. Even simple examples illustrating changes in each one of the nine are found to involve some of the others. A generalized concept of crystal-crystal interface motion, using all nine variables, is suggested.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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References

1. Kalonji, G., “Symmetry Principles in the Physics of Crystalline Interfaces”, Se. D. thesis, MIT 1982 Google Scholar
2. Frank, F. C, MRS Bull. 13, 2430 1988 CrossRefGoogle Scholar
3. There is more to this than a rotation of coordinate axes; a shift from a distance variable to an angular one changes an infinite space to a finite one (although, for example, the Rodriguez vector spans an infinite three dimensional space).Google Scholar
4. Besicovitch, A., “Almost Periodic Functions”, Cambridge University Press 1932.Google Scholar
5. Gratias, D. and Thalal, A., Phil. Mag. Lett. 57, 63 (1988).CrossRefGoogle Scholar
6. Sutton, A. P., this symposium (cb1.5).Google Scholar
7. Herring, C., Phys. Rev. 82, 87 (1951).CrossRefGoogle Scholar
8. Cahn, J., J. de Physique 43, C6199 (1982).Google Scholar
9. Shewmon, P. G., Appendix to Chapt. 5 in “Recrystallization, Grain Growth and Textures”, ASM, Metals Park, OH 1966 pp. 196–8.Google Scholar
10. Kuhn, H., Baero, G. and Gleiter, H. Acta Met. 27, 959 (1979)CrossRefGoogle Scholar
11. Chan, S.-W. and Balluffi, R. W., Acta Met. 33, 1113 (1985);CrossRefGoogle Scholar
Chan, S.-W. and Balluffi, R. W., Acta Met. 34, 2191 (1986).CrossRefGoogle Scholar
12. Rändle, V. and Ralph, B., “The Effect of Grain Growth Suppression on Grain Boundary Parameters” in Annealing Processes-Recovery, Recrystallization and Grain Growth, Proceedings of the 7th Riso International Symposium on Metallurgy and Materials Science”, Hansen, N., etal., Ed., Riso National Laboratory, Roskilde, Denmark, p. 507 (1986).Google Scholar
13. Mykura, H., Acta Met. 27, 243249 (1979)CrossRefGoogle Scholar
14. Cahn, J., Ceramic Transactions 7, 185 (1990).Google Scholar
15. Taylor, J. E., this symposium; accepted for Acta Met. et Mat. 40, (1992)CrossRefGoogle Scholar
16. Mullins, W. W., in “Metal Surfaces”, ASM Seminar Series (1962), p. 17.Google Scholar