A convex polyhedron aprroach of constructing chemical potential diagrams for multicomponent systems

A new algorithm for constructing chemical potential diagrams has been devel oped with the aid of considerations based on computation geometry. Almost a ll procedures are based on the derivation of the intersection between the p olyhedron in n-dimension space and the superplane with (n-1) dimensions. Th is consists of the geometrical consideration based on the graph theoretical features in terms of vertex, edge, and facet and of the numerical consider ations for the beneath-beyond criterion and for obtaining vertices or edges . This generalization makes it easy to treat mixture phases and also to tre at phase relations as a function of temperature or pressure.