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Some Problems for Physicists in First Order Diffusional Phase Transformations in Crystalline Solids

  • H. I. Aaronson
  • R. V. Ramanujan
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 27)

Abstract

Although the homogeneous nucleation kinetics of precipitates formed during first order diffusional phase transformations now appear to be well understood when the precipitate has the same crystal structure and orientation as the matrix, analysis of homogeneous nucleation involving a significant change in crystal structure has just begun. The core problem is evaluation of the chemical interfacial energy as a function of boundary orientation with a fixed lattice orientation relationship for coherent interphase boundaries. Quantitative understanding of nucleation at dislocations requires analysis of strain energy interactions between faceted nuclei and the dislocations, using anisotropic, inhomogeneous elasticity theory. Diffusional growth of precipitates whose crystal structure differs from that of their matrix can be qualitatively understood in terms of interphase boundaries which have a partially coherent structure. These boundaries are immobile in the direction normal to themselves and can migrate only by means of the ledge mechanism. Theory of the origin of ledges, and also of kinks on the risers of ledges, is the main gap to be filled in order to place this approach to diffusional growth on a quantitative basis. Theory of morphological instability and of growth of the unstable products at the point of instability appears applicable in the large to precipitation from solid solution but must be reworked in terms of the ledge mechanism in order to make such applications more realistic.

Keywords

Habit Plane Interphase Boundary Homogeneous Nucleation Critical Nucleus Acta Meet 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • H. I. Aaronson
    • 1
  • R. V. Ramanujan
    • 1
  1. 1.Department of Metallurgical Engineering and Materials ScienceCarnegie-Mellon UniversityPittsburghUSA

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