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Hypothetical systems are useful to enhance the rigor of computerized algorithms and to enhance the applicability of the developed software to physically realistic systems. This paper deals with the calculation of miscibility gaps using the method of the addition of linear contributions. We derived a formalism, which underlies the method, for a multicomponent system. We applied the method to hypothetical...
The Zr–Sn binary system has been reinvestigated by several experimental techniques: X-ray diffraction, electron probe micro-analysis, mass density and calorimetry measurements. The existence of a miscibility gap inside the homogeneity domain of the η phase (Zr 5 Sn 3 –Zr 5 Sn 4 ) has been confirmed. It has been also shown that Zr substitution on the Sn sublattice is...
Experimental work on the C–Co–Ti–V–W–Zr system in order to determine the extension of the miscibility gaps in TiC–ZrC and VC–ZrC is presented. Thermodynamic calculations were used to design samples that will form a miscibility gap in equilibrium with liquid, WC and graphite. Samples were produced from powder and sintered for 1 week in controlled atmosphere at 1300, 1410 and 1500 ∘ C. From...
With the consideration of the existence of the metastable miscibility gaps, the thermodynamic parameters of the Mg-based solid solution have been assessed for the Mg–Zn and Mg–Nd systems. The new semi-empirical equation proposed by Kaptay was used to describe the interaction parameters between components to prevent the appearance of the artificial miscibility gap at high temperature. The obtained...
The criterion for coherent equilibria is investigated. The expressions of driving force considering elastic energy for further formation of infinitesimal amount of one phase from the other in the two-phase coherent system are obtained. Zero driving force is shown to be a useful thermodynamic criterion for coherent equilibria, which not only has a clear physical meaning, but also is really convenient...
The conditions for miscibility gaps are examined for the binary solutions of which the excess molar Gibbs energy is described by the Redlich–Kister polynomials of the terms, LA,B(n)xAxB(xA−xB)n (n=0, 1, 2, …, v), and LA,B(n) is given by AA,B(n)+BA,B(n)T. For the binary solutions specified by the first three R–K terms, the domains of miscibility gaps and of no miscibility gap at 0K have been successfully...
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