Anisotropy of coherent interphase boundary energy

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A nearest neighbor, broken bond model is employed to develop general relationships for the concentration profile associated with a coherent interphase boundary and for the interfacial energy of such a boundary, σc. This development incorporates a simple crystallographic method for describing the distribution of nearest neighboring atoms about a given atom in an interface of arbitrary orientation between two cubic-type crystals. Contours of constant σc are constructed on the unit steriographic triangle at several temperatures and illustrate the manner in which the anisotropy of σc evolves with decreasing temperature. Mathematical equivalency of the discrete lattice model and the continuum method of Cahn and Hilliard is demonstrated at high temperatures when the regular solution model is applicable. A comparison between the two approaches is used to demonstrate that σc is relatively insensitive to the concentration profile. © 1980.

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Acta Metallurgica