Beta Phase: Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.
45

Phase Diagrams

Phase diagrams graphically represent the stable phases of a material as a function of temperature, pressure, and composition.
📜

The statement of the theorem

For a multi-component system at constant pressure PP, the stable phases ϕ\phi are determined by minimizing the total Gibbs Free Energy GtotalG_{total} with respect to temperature TT and composition xx. The phase boundaries are defined by the condition that the chemical potential μi\mu_i of each component ii must be equal in all coexisting phases ϕj\phi_j and ϕk\phi_k:\nμi(ϕj)=μi(ϕk)for all i∈components, and ϕj,ϕk coexisting\mu_i(\phi_j) = \mu_i(\phi_k) \quad \text{for all } i \in \text{components}, \text{ and } \phi_j, \phi_k \text{ coexisting}