Abstract
Here z is the mole fraction of ¢¢, c,, and cl3 are the compositions of c¢ and 13, F,, (cQ and Fi3(Cl3 ) are the molar free energies of the o~ and 13 phases. F e is the elastic energy due to coherency. The study of a simple model [1] has shown that many results valid for fluid-fluid equUibria (F e = 0) become invalid for solid-solid coherent equilibria. In particular, the beautiful simplicity of the common tangent contraction (Fig. la) is lost, as well as many consequent rules. For a two-component, isothermal system, the compositions of the phases are not fixed as the two-phase field is crossed. The mole fractions of the phases are no longer smooth functions of the average composition of the alloy. Jumps may occur, with forbidden regions in the usual 0 to 1 domain of variation. One may ask whether some kind of rule still exists. This note presents the first attempt to answer this question.
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