Calculation of the Fusibility Diagrams of Quasi-Simple Ternary Systems Model (QSTSM). Algorithm and Thermodynamic Justification
Azamatov B. N.1, Charykov N. A.2,3, Kuznetsov V.V.4, Kulenova N. A. 2, Sadenova M. A.2, Dogadkin D. S. 1, Keskinov V. V.2, Keskinova M. V.3
1Veritas Center, D.Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan
2Veritas Center, D.Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan
3Saint-Petersburg State Institute of Technology (Technical University), St. Petersburg, Russia
4St. Petersburg State Electrotechnical University “LETI", St. Petersburg, Russia
Email: vvkuznetsov@inbox.ru
This paper presents a model-free algorithm for calculating the melting diagrams of multicomponent quasi-simple systems from data on the melting diagrams of binary components. A proof is given that all invariant points of quasi-simple ternary systems belong to a single monovariant curve, and systems of equations for calculating this curve are presented. A system of transcendental equations is compiled for calculating the temperatures of ternary eutectics from data on the binary eutectics of quasi-simple subsystems. A thermodynamic method is proposed for determining whether a multicomponent system belongs to the class of quasi-simple systems solely from data on the coordinates of binary eutectics. The proposed algorithm is applicable to the thermodynamic calculation of any phase diagrams, including systems containing water-soluble nanoclusters. Keywords: quasi-simple multicomponent systems, rectilinear liquidus isotherms, melting diagrams, non-model calculation, binary subsystems.
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