Abstract
Abstract The phase diagram of the quaternary Cd-Bi-Pb-Sn system has been calculated from the experimentally measured partial molar properties of Cd in the liquid phase which were reported previously. An exact analytical solution of the Gibbs-Duhem equation for quaternary systems is presented which permits the calculation of analytical expressions for the partial properties of Bi, Ph and Sn as functions of composition. An analysis of the thermodynamic properties of the liquid Bi-Pb-Sn phase is presented for use as an “endpoint system” in the Gibbs-Duhem integration. The calculated phase diagram agrees well with the phase diagrams determined by thermal analysis in the binary and ternary sub-systems. Resume Le diagramme de phase du systeme quaternaire Cd-Bi-Pb-Sn a ete calcule a partir des proprietes partielles molaires experimentales du Cd dans la phase liquide. Les mesures experimentales ont ete puhliees anterieurement. Dne solution analytique exacte de l'equation de Gibbs-Duhem est donnee pour le cas d'un...
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