R. Horst

"Calculation of phase diagrams not requiring the derivatives of the Gibbs
energy for multinary mixtures"

*Macromolecular Theory and Simulations* **1996**, *5*, 789-800.

**Abstract:** A method for the calculation of phase diagrams (tie lines and
binodal, spinodal, critical points and their stability) based exclusively on
the Gibbs energy of mixing with no need of its derivatives with respect to the
composition variables is extended to multinary mixtures for any number of components.
The mathematical description of the (K-1)-dimensional phase diagram of a K-component
mixture is presented. The method is demonstrated for a quinternary blend of
five polymers exhibiting a closed miscibility gap; all binary, ternary and quaternary
subsystems are completely miscible. The phase separation in the quinternary
system is caused by very favorable interactions in the ternary subsystem 1/2/3
and the binary subsystem 4/5.

preprint number: 168b