The estimation of the thermodynamic properties of ternary alloys from binary data using the shortest distance composition path
TL;DR: In this article, a new composition path, Xi-Xj=constant, is suggested for the semi-empirical calculation of the thermodynamic properties of ternary substitutional solutions from binary data, when the binary systems show deviations from the regular solution model.
About: This article is published in Thermochimica Acta.The article was published on 1977-02-01. It has received 196 citations till now. The article focuses on the topics: Ternary operation & Binary data.
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TL;DR: In this article, various empirical methods of predicting the properties of a ternary system from its binary components are reviewed and their generalization to higher systems is discussed, the methods are compared by applying the subregular solution model and expressions are derived which allow a direct comparison.
Abstract: Various empirical methods of predicting the properties of a ternary system from its binary components are reviewed and their generalization to higher systems is discussed, The methods are compared by applying the subregular solution model and expressions are derived which allow a direct comparison. For symmetric treatments, a numerical method and equivalent analytical methods are recommended for universal usage. For asymmetric treatments, a numerical method is recommended but the possibility of treating such cases by transforming an asymmetric ternary system into a reciprocal system and using a formally symmetric description is emphasized.
404 citations
TL;DR: In this paper, a modified Heller equation (Heller, 1965) was used to predict ternary excess properties from the values of corresponding three binary mixtures involved and compared with the experimental values of the physical properties.
103 citations
01 Jun 1997-Metallurgical and Materials Transactions B-process Metallurgy and Materials Processing Science
TL;DR: A new solution model has been suggested, which gets rid of this traditional way and assumes that the selected binary compositions should be closely related to the system considered and is more reasonable in theoretical considerations, more reliable in practical use, and more realistic in computerization.
Abstract: During the past 3 decades, all solution models that were used to predict thermodynamic properties of a multicomponent system from binaries improperly assumed that the selected binary compositions in a model are independent of the practical system to be treated. This assumption causes problems both in symmetrical and asymmetrical models. In this article, a new solution model has been suggested, which gets rid of this traditional way and assumes that the selected binary compositions should be closely related to the system considered. After introducing a new concept, the “similarity coefficient,” the relation between the selected binary compositions and the composition of the multicomponent system is established and a new model is generated. This new generation model is more reasonable in theoretical considerations, more reliable in practical use, and more realistic in computerization for estimating thermodynamic properties and calculating phase diagrams in a multicomponent system.
93 citations
TL;DR: This new model can overcome the inherent defects for both current symmetrical and asymmetrical models and can combine two kinds of current models into one and can eventually realize the computerization for calculating thermodynamic properties and phase diagrams for multicomponent systems.
Abstract: In the previous paper, we have presented a new method for calculating ternary thermodynamic properties based on three binaries. This new model can overcome the inherent defects for both current symmetrical and asymmetrical models and can combine two kinds of current models into one. More important, it can eventually realize the computerization for calculating thermodynamic properties and phase diagrams for multicomponent systems. In this paper we will give this new model a new formalism based on binary regular-solution type parameters. When this model is applied, all we need to do is substitute these parameters into formulae presented here and evaluate them by using a simple calculator. Since a large number of real systems can be approximately fit through a regular-solution type model, therefore, this new formalism is significant.
81 citations
TL;DR: In this article, the ternary system (1-butyl-3-methylimidazolium methylsulphate+ethanol+water) at T = (298.15, 313).
76 citations
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550 citations
TL;DR: In this article, the Ni-Cr-Cu system was examined thermodynamically, using the regular approximation, and the most probable values of the interaction parameters were obtained from data on the binary boundary systems.
80 citations
71 citations
TL;DR: In this article, a critical assessment of the thermodynamic data of silver + tin alloys showed that there was a lack of reliable data on the silver-rich side in the liquid as well as in the solid state.
25 citations
TL;DR: Based on the quasichemical theory, second order expressions in terms of the nearest neighbor interaction parameters are given for the molar energy of mixing, ΔE, and the partial molar excess free energy, ḠCE, of a ternary system as mentioned in this paper.
Abstract: Based on the quasichemical theory, second order expressions in terms of the nearest‐neighbor interaction parameters are given for the molar energy of mixing, ΔE, and the partial molar excess free energy of mixing, ḠCE, of a ternary system. In order to improve the applicability, the quasichemical binary contributions are replaced by the experimental binary values. The ``leftover'' term or the ``excess'' ternary term is discussed in more detail. The quasichemical theory suggests the ternary excess energy term is of a more complex form than N AN BNC × const. The expressions are useful in calorimetric work and in discussing phase stabilities (miscibility gaps).
3 citations