Sv. Varamban et Kt. Jacob, RELATION BETWEEN INTEGRAL AND PARTIAL PROPERTIES OF TERNARY SOLUTIONSALONG DIFFERENT COMPOSITION TRAJECTORIES, High-temperature materials and processes, 16(4), 1997, pp. 227-242
The relations between partial and integral properties of ternary solut
ions along composition trajectories suggested by Kohler, Colinet and J
acob, and along an arbitrary path are derived. The chemical potentials
of the components are related to the slope of integral free energy by
expressions involving the binary compositions generated by the inters
ections of the composition trajectory with the sides of the ternary tr
iangle. Only along the Kohler composition trajectory it is possible to
derive the integral free energy from the variation of the chemical po
tential of a single component with composition or vice versa. Along al
l other paths the differential of the integral free energy is related
to two chemical potentials. The Gibbs-Duhem integration proposed by Da
rken for the ternary system uses the Kohler isogram. The relative meri
ts of different limits for integration are discussed.