Unification of solubility diagrams of multicomponent quasi-simple systems


Charykov N.A. Kulenova N.A. Sadenova M.A. Azamatov B.N. Dogadkin D.S. Rumyantsev A.V. Charykova M.V. Keskinova M.V. Keskinov V.A.
15 November 2025Elsevier B.V.

Journal of Molecular Liquids
2025#438

This work is devoted to issues of thermodynamics of quasi-simple systems. A three- or more component system ( n ≥ 3) is quasi-simple if the isotherm-isobar-isopotentials of one of the system components (for solubility diagrams, this is the solvent) are segments of straight lines ( n = 3), sectors of planes ( n = 4), or hyperplanes ( n ≥ 5). It has been proven that all figurative points on monovariant curves of joint crystallization of two identical solid phases in various quasi-simple quaternary systems (with two identical and one different component) belong to the same curve. Systems of equations are given for the thermodynamic calculation of such monovariant curves exclusively from data on binary subsystems. Examples of calculations of these monovariant curves are given, and convincing agreement between the non-model calculation and experimental data is demonstrated using the example of quaternary systems with a common cation, a common anion, and quaternary reciprocal systems. The results are naturally extended to monovariant crystallization lines of three or more identical solid phases on solubility diagrams of five- and more component quasi-simple systems (with one differing component). The agreement between the non-model calculation and experimental data for two five-component systems is good.

Fusibility diagrams , Phase equilibria , Quasi-simple systems , Solubility diagrams , Topological isomorphism

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Priority Department Centre”Veritas“, D.Serikbaev East Kazakhstan Technical University, Ust’-Kamennogorsk, Kazakhstan
Smart Engineering” Competence Center at D.Serikbaev East Kazakhstan Technical University, Ust’-Kamennogorsk, Kazakhstan
Saint-Petersburg State Technological Institute (Technical University), Saint-Petersburg, Russian Federation
Saint-Petersburg State University, Saint-Petersburg, Russian Federation

Priority Department Centre”Veritas“
Smart Engineering” Competence Center at D.Serikbaev East Kazakhstan Technical University
Saint-Petersburg State Technological Institute (Technical University)
Saint-Petersburg State University

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