Abstract
Topologies of the nucleation rate surfaces over phase equilibria diagrams with eutectic and peritectic points are constructed schematically. Theoretical methods to obtain the topology of these surfaces are not yet available. Individual eutectic and peritectic points, empirically observed previously in non-equilibrium conditions, are following as particular cases of the common results of the present paper. It is shown that there are lines of eutectic and peritectic compositions in general, depending on the mother phase invasion depth into the region of the coupled phase equilibria
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