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Showing papers on "Gibbs–Duhem equation published in 1994"


Journal ArticleDOI
TL;DR: In this article, the relationship between the Wagner interaction and Margules coefficients is derived to discuss their limitations and to clarify incorrect construction of the excess Gibbs energy from the partial excess Gibbs energies, expressed as linear functions of mole fractions.
Abstract: The relationships between the Wagner interaction and Margules coefficients are derived to discuss their limitations and to clarify incorrect construction of the excess Gibbs energy from the partial excess Gibbs energies, expressed as linear functions of mole fractions. Margules-type equations with Henrian reference states are obtained, and their significance is discussed. An estimate for the Gibbs energy of melting of graphite is obtained, and the use of activity coefficients for deriving the Gibbs energy of melting of refractory elements is suggested. This research is part of the effort in materials properties at the U.S. Bureau of Mines.

8 citations



Journal ArticleDOI
TL;DR: In this paper, a thermodynamic treatment has been used to obtain, with different degrees of approximation, the total change in the Gibbs energy for the crystallization of hydrated and non-hydrated solids.

5 citations



Journal Article
TL;DR: In this paper, a new method for treating the experimental data on concentration dependences for chemical potential was presented, which was shown to provide more accurate estimates of the free energy of mixing.
Abstract: Various methods for calculating the free energy of mixing using the Gibbs-Duhem equation were compared. A new method for treating the experimental data on concentration dependences for chemical potential was advanced. As compared with other known calculating procedures, this method was shown to provide more accurate estimates of the free energy of mixing

1 citations


Journal ArticleDOI
TL;DR: In this article, an alternative approach is presented for the calculation of the activity of FeO, Fe2O3, and the other component in ternary oxide slags when the redox behavior of iron oxides is known.
Abstract: An alternative approach is presented in this article for the calculation of the activity of FeO, Fe2O3, and the other component in ternary oxide slags when the redox behavior of iron oxides is known. The approach avoids the use of the “tangent intercepts” to the iso-oxygen activity curves as required in Schuhmann's method. Favorable comparisons were obtained for the systems of FeO-Fe2O3-CaO and FeO-Fe2O3-SiO2 between the isoactivity curves derived using this method and those established in previous work using Schuhmann's method. Direct calculation of the free energy of mixing from the redox data is also possible. An example is given for the FeO-Fe2O2-CaO system.

1 citations


Journal ArticleDOI
M. Hoch1
TL;DR: In this paper, the Gibbs energy of mixing and the excess Gibbs energy in the binary systems treated in an earlier study were calculated, and they showed that these functions cannot be described by an equation extending between the two end components and also represent the partial quantities correctly.
Abstract: The Gibbs energy of mixing and the excess Gibbs energy of mixing in the binary systems treated in an earlier study are calculated. In these types of systems, these functions cannot be described by an equation extending between the two end components and also represent the partial quantities correctly.