Singular point analysis: construction of Schreinemakers projections for systems with a binary solution

Abstract

In general, in a (c + 2)-phase system that contains a single binary solution any two univariant equilibria will share a common singular equilibrium. The number of ways two univariant equilibria can be related by a singular equilibrium is constrained by Schreinemakers principles. These constraints are summarized by seven rules that limit the number of ways in which singular points can be arranged about an invariant point in a Schreinemakers projection. The resulting projection is a singular-point net, and for each singular-point net the direction of compositional variation in the solution phase is uniquely determined along every univariant curve. -from Authors