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The Modified Gibbs-Wulff Construction and Critical Nucleus Morphology at an Interface

Published online by Cambridge University Press:  26 July 2012

J. K. Lee ,
J. H. Choy  and
Y. Choi
J. K. Lee
Affiliation:
Department of Metallurgical and Materials Engineering, Michigan Technological University, Houghton, MI 49931
J. H. Choy
Affiliation:
Department of Metallurgical and Materials Engineering, Michigan Technological University, Houghton, MI 49931
Y. Choi
Affiliation:
Department of Metallurgical and Materials Engineering, Michigan Technological University, Houghton, MI 49931
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Abstract

The conditions for the equilibrium shape of a second-phase particle nucleating either at a planar interface or at a spherically curved interface are reviewed under the assumption that the interfacial structure of the nucleation site has a torque of an appropriate strength. The results are then incorporated into the modified Gibbs-Wulff construction in order to demonstrate a graphical representation of both the equilibrium shape and the free energy barrier for heterogeneous nucleation.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 230: Symposium R – Phase Transformation Kinetics in Thin Films , 1991 , 121
Copyright
Copyright © Materials Research Society 1992

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References

1. Gibbs, J. W., On the Equilibrium of Heterogeneous Substances, Collected Works, Vol 1, (Longmans, Green and Co., NY, 1928).Google Scholar
2. Russell, K. C., Phase Transformations, ed., Aaronson, H. I. (ASM, Materials Park, OH, 1970), ch. 6.Google Scholar
3. Christian, J. W., Theory of Transformations in Metals and Alloys, Part 1, 2nd ed. (Pergamon Press, Oxford, UK, 1975), p.448.Google Scholar
4. Volmer, M., Kinetik der Phasenbildung, (Steinkopf, Dresden, 1939) quoted in Ref. 3.Google Scholar
5. Turnbull, D., J. Chem. Phys., 18, 198 (1950).Google Scholar
6. Aaronson, H. I. and Wells, C., Trans. AIME, 205, 1216 (1956).Google Scholar
7. Winterbottom, W. L., Acta Met., 15, 303 (1967).Google Scholar
8. Cahn, J. W. and Hoffman, D. W., Acta Met., 22, 1205 (1974).Google Scholar
9. Lee, J. K. and Aaronson, H. I., Acta Met., 23, 799 (1975).Google Scholar
10. Cahn, J. W. and Taylor, J. E., Phase Transformations '87, ed., Lorimer, G. W. (Inst. of Metals, Cambridge, UK, 1988), p.545.Google Scholar
11. Lee, J. K., Choy, J. H. and Choi, Y., Surface Science, in press.Google Scholar
12. Lee, J. K. and Hellawell, A., research in progress, Michigan Tech. (1991).Google Scholar
13. Lee, J. K. and Aaronson, H. I., Scripta Met., 8, 1451 (1974).Google Scholar