An alternative way to derive the contact rule and phase boundary rules for T-xi multicomponent phase diagrams

In order to predict the phase boundary dimension between two phase regions, Palatnik and Landau put forward the contact rule. Later, Zhao proposed phase boundary rules for T - x(i) multicomponent phase diagrams. In this study, the contact rule and phase boundary rules for T - x(i) multicomponent phase diagrams are derived from a geometric point of view, which contributes to a comprehensive understanding of the topological relations. The proposed formulas in this work differ slightly from those of Zhao, but can account for more geometric relations. Published by Elsevier Ltd. on behalf of Acta Materialia Inc.