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

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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.

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References

  1. J. W. Gibbs, On the Equilibrium of Heterogeneous Substances, Collected Works, Vol 1, (Longmans, Green and Co., NY, 1928).

    Google Scholar 

  2. K. C. Russell, Phase Transformations, ed., H. I. Aaronson (ASM, Materials Park, OH, 1970), ch. 6.

    Google Scholar 

  3. J. W. Christian, Theory of Transformations in Metals and Alloys, Part 1, 2nd ed. (Pergamon Press, Oxford, UK, 1975), p.448.

    Google Scholar 

  4. M. Volmer, Kinetik der Phasenbildung, (Steinkopf, Dresden, 1939) quoted in Ref. 3.

    Google Scholar 

  5. D. Turnbull, J. Chem. Phys., 18, 198 (1950).

    Article  CAS  Google Scholar 

  6. H. I. Aaronson and C. Wells, Trans. AIME, 205, 1216 (1956).

    Google Scholar 

  7. W. L. Winterbottom, Acta Met., 15, 303 (1967).

    Article  CAS  Google Scholar 

  8. J. W. Cahn and D. W. Hoffman, Acta Met., 22, 1205 (1974).

    Article  CAS  Google Scholar 

  9. J. K. Lee and H. I. Aaronson, Acta Met., 23, 799 (1975).

    Article  Google Scholar 

  10. J. W. Cahn and J. E. Taylor, Phase Transformations '87, ed., G. W. Lorimer (Inst. of Metals, Cambridge, UK, 1988), p.545.

    Google Scholar 

  11. J. K. Lee, J. H. Choy and Y. Choi, Surface Science, in press.

  12. J. K. Lee and A. Hellawell, research in progress, Michigan Tech. (1991).

  13. J. K. Lee and H. I. Aaronson, Scripta Met., 8, 1451 (1974).

    Article  Google Scholar 

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Acknowledgments

The authors are indebted to Prof. H. I. Aaronson of Carnegie Mellon for valuable suggestions on this work. The U.S. Dept. of Energy has financially supported this work under Grant No. DE-FG02-87ER45315, for which the authors express their gratitude.

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Authors and Affiliations

  1. Department of Metallurgical and Materials Engineering, Michigan Technological University, Houghton, MI, 49931, USA

    J. K. Lee, J. H. Choy & Y. Choi

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  1. J. K. Lee
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  2. J. H. Choy
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  3. Y. Choi
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Lee, J.K., Choy, J.H. & Choi, Y. The Modified Gibbs-Wulff Construction and Critical Nucleus Morphology at an Interface. MRS Online Proceedings Library 230, 121–128 (1992). https://doi.org/10.1557/PROC-230-121

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  • DOI: https://doi.org/10.1557/PROC-230-121

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