TY - JOUR T2 - Journal of Mining and Metallurgy, Section B: Metallurgy TI - Isobaric vapor-liquid equilibrium (VLE) of ternary lead–tin–antimony alloy system at 2 Pa VL - 56 IS - 3 SP - 327 EP - 335 PY - 2020 DO - 10.2298/JMMB190529026X AU - J.-J Xu AU - J.-B. Gao AU - L.-X. Kong AU - B.-Q. Xu AU - B. Yang AU - Y.-J. You AD - a National Engineering Laboratory of Vacuum Metallurgy, Kunming University of Science and Technology, Kunming, PR China; b Key Laboratory of Vacuum Metallurgy for Non-ferrous Metal of Yunnan Province, Kunming University of Science and Technology, Kunming, PR China; c Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, PR China; d State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization in Yunnan Province, Kunming, PR China; AB - In the literature, no detailed description is reported about how to detect if a miscibility gap exists in terms of interaction parameters analytically. In this work, a method to determine the likelihood of the presence of a miscibility gap in a binary substitutional solution phase is proposed in terms of interaction parameters. The range of the last interaction parameter along with the former parameters is analyzed for a set of self-consistent parameters associated with the miscibility gap in assessment process. Furthermore, we deduce the first and second derivatives of Gibbs energy with respect to composition for a phase described with a sublattice model in a binary system. The Al-Zn and Al-In phase diagrams are computed by using a home-made code to verify the efficiency of these techniques. The method to detect the miscibility gap in terms of interaction parameters can be generalized to sublattice models. At last, a system of equations is developed to efficiently compute the Gibbs energy curve of a phase described with a sublattice model. KW - Pb–Sn–Sb alloy KW - Activity KW - VLE KW - Wilson equation KW - Thermodynamic consistency test N1 - Correspondence Address: L.-X. Kong, a National Engineering Laboratory of Vacuum Metallurgy, Kunming University of Science and Technology, Kunming, PR China b Key Laboratory of Vacuum Metallurgy for Non-ferrous Metal of Yunnan Province, Kunming University of Science and Technology, Kunming, PR China c Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, PR China d State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization in Yunnan Province, Kunming, PR China email: kkmust@126.com B. Yang, a National Engineering Laboratory of Vacuum Metallurgy, Kunming University of Science and Technology, Kunming, PR China b Key Laboratory of Vacuum Metallurgy for Non-ferrous Metal of Yunnan Province, Kunming University of Science and Technology, Kunming, PR China c Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, PR China d State Key Laboratory of Complex Nonferrous Metal Resources Clean Utilization in Yunnan Province, Kunming, PR China email: kgyb2005@126.com N1 - J. Min. Metall. Sect. B-Metall. 56 (3) B (2020) 327-335. DOI:10.2298/JMMB190529026X PB - Technical Faculty in Bor SN - 14505339 (ISSN) LA - English J2 - J. Min. Metall. Sect. B Metall. M3 - Article ER