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Coherency Strain Energy in any Crystal System: Applications to in Situ Observations of Cigm in Calcite

Published online by Cambridge University Press:  26 February 2011

R.S. May  and
B. Evans
R.S. May
Affiliation:
WRDC/MLLM, WPAFB, OH 45433
B. Evans
Affiliation:
Dept. Earth & Planetary Sciences, 54–718, M.I.T. Cambridge, MA 02139
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Abstract

In situ observations of CIGM in CaCO3 bicrystals with a SrCO3 solute source were made. The change in boundary orientation and migration rate were compared with solute concentration. The liquid film model for coherency strain Induced migration was generalized to any non-cubic system and applied to CaCO3-SrCO3. The coherent layer was modeled as a thin film on an infinite half-space. The strain energy was found from solution of the Hooke's law expressions transformed to the appropriate coordinate system. For triclinic or monoclinic films the strain tensor was found by an eigenvector decomposition of the transformation matrix that defined the lattice parameter change with composition. High anisotropy of Vegard's law constants for CaCO3-SrCO3 caused (111) to have the lowest coherency strain per unit solute. Surfaces perpendicular to (111) in coherent equilibria were predicted to have half the solute concentration and three times the migration driving force of those perpendicular to (111). However, no correlation between solute concentration and boundary orientation was observed. Ambiguous and contradictory evidence for a relationship between solute concentration, boundary orientation, and migration rate was found. The self-stress state of a grain boundary in a solute diffusion field may be better modelled as hydrostatic rather than plane stress. Hydrostatic compression may interact with the boundary excess volume and cause a PV driving force for migration. Predictions based on coherent equilibrium at a surface have not been tested for that geometry in calcite; they should be tested before they are applied to grain boundaries.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 205: Symposium F – Kinetics of Phase Transformations , 1990 , 245
Copyright
Copyright © Materials Research Society 1992

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References

1. M. Hillert and Purdy, G. R., Acta metall. 26, 333 (1978).Google Scholar
2. Cahn, J. W., Pan, J. D., and Balluffi, R. W., Scripta metall. 13, 503 (1979).CrossRefGoogle Scholar
3. Smith, D. A. and King, A. H., Philos. mag. A 44, 333 (1981).CrossRefGoogle Scholar
4. Balluffi, R. W. and Cahn, J. W., Acta metall. 29, 493 (1981).CrossRefGoogle Scholar
5. Hillert, M., Scripta metall. 17, 237 (1983).CrossRefGoogle Scholar
6. Yoon, D. N., Cahn, J. W., Handwerker, C. A., Blendell, J. E., and Balk, Y. J., in Interface migration and control of microstructure, Pande, C. S., ed., Am. Soc. Metals, Metals Park, OH (1985).Google Scholar
7. Handwerker, C. A., Cahn, J. W., Yoon, D. N., and Blendell, J. E., in Diffusion in solids: recent developments, Dayananda, M. A. and Murch, G. E., editors, TMS/AIME publications, p. 275 (1985).Google Scholar
8. Hay, R. S. and Evans, B., Contrib. mineral, petrol. 97, 127 (1987).CrossRefGoogle Scholar
9. Handwerker, C. A., Diffusion in Thin Films, ed. Gupta, D. and Ho, P., Noyes publications (1986).Google Scholar
10. King, A. H., Int. mat. rev. 32, 173 (1987).CrossRefGoogle Scholar
11. Hay, R. S. and Evans, B., Acta metall. 35, 2049 (1987).CrossRefGoogle Scholar
12. Song, Y. D., Ahn, S. T., and Yoon, D. N., Acta metall. 33, 1907 (1985).Google Scholar
13. Rhee, W. H. and Yoon, D. N., Acta metall. 35, 1447 (1987).CrossRefGoogle Scholar
14. Lee, K. R., Balk, Y. J., and Yoon, D. N., Acta metall. 35, 2145 (1987).CrossRefGoogle Scholar
15. Baik, Y. J. and Yoon, D. N., Acta metall. 35, 2265 (1987).CrossRefGoogle Scholar
16. Baik, Y. J. and Yoon, D. N., Acta metall. 33, 1911 (1985).Google Scholar
17. Rhee, W-H., Song, Y. D., and Yoon, D. N., Acta metall. 35, 57 (1987).CrossRefGoogle Scholar
18. Rhee, W-H. and Yoon, D. N., Acta metall. 37, 221, (1989).CrossRefGoogle Scholar
19. Hay, R. S. and Evans, B., in Sintering of Advanced Ceramics, edited by Handwerker, C. A., Blendell, J. E., and Kaysser, W.A., Ceramic Transactions Vol. 7, Am. Cer. Soc., 578 (1990).Google Scholar
20. Larche, F. C. and Cahn, J. W., Acta metall. 30, 1835 (1982).CrossRefGoogle Scholar
21. Grovenor, C. R. M., Acta metall. 33, 579 (1985).CrossRefGoogle Scholar
22. Chang, L., J. Geology 25, 346 (1963).Google Scholar
23. Hay, R.S to be published.Google Scholar
24. Beruto, D., Kim, M. G., Barco, L., J. Am. Cer. Soc. 67, 274 (1984).CrossRefGoogle Scholar
25. Bollmann, W., Crystal Lattices, Interfaces, Matrices, published by the author, 1982.Google Scholar
26. Nye, J. F., Physical Properties of Crystals, Oxford University press (1957).Google Scholar
27. Davies, P. K. and Navrotsky, A., J. solid state chem. 46, 1 (1983).CrossRefGoogle Scholar
28. Glaeser, A. M. and Evans, J. W., Acta metall. 34, 1545 (1986).CrossRefGoogle Scholar
29. Chongmo, L. and Hillert, M., Acta metall. 29,1949 (1981).CrossRefGoogle Scholar
30. Chongmo, L. and Hillert, M., Acta metall. 30,1133 (1982).CrossRefGoogle Scholar
31. Whipple, R. T. P., Philos. mag. 45, 1225 (1954).CrossRefGoogle Scholar