Unifying Solubility Diagrams of Multicomponent Quasi-Simple Systems


Charykov N.A. Kulenova N.A. Sadenova M.A. Kuznetsov V.V. Azamatov B.N. Dogadkin D.S. Charykova M.V.
December 2025Pleiades Publishing

Russian Journal of Physical Chemistry A
2025#99Issue 133302 - 3319 pp.

Abstract: A system with three or more components (n 3) is quasi-simple if the isotherms–isobars–isopotentials of the system’s components (the solvents of solubility diagrams) are line segments (n = 3), sectors of planes (n = 4), or hyperplanes (n 5). This work presents evidence that all figurative points on monovariant branches of the joint crystallization of two identical solid phases in different quasi-simple quaternary systems (n = 4) (with two identical and one different component) belong to a single curve. Systems of equations are given for thermodynamic calculations of such curves exclusively from data on binary subsystems. Examples of calculating these monovariant curves are provided, and agreement is shown between non-model calculations and experimental data on the compositions of saturated solutions using quaternary systems with a common cation, a common anion, and quaternary reciprocal systems as examples. Agreement is also seen between results from thermodynamic calculations and numerous experimental data. The results can naturally be extended to monovariant crystallization lines of three or more identical solid phases on the solubility diagrams of quasi-simple systems with five or more components (and one that is different).

binary subsystems , linearity of isotherms–isobars–isopotentials of solvent , non-model calculations , quasi-simple quaternary systems , solubility diagrams

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Center of Excellence Veritas, Serikbayev East Kazakhstan Technical University, Ust-Kamennogorsk, 070004, Kazakhstan
Smart Engineering Competence Center, Serikbayev East Kazakhstan Technical University, Ust-Kamennogorsk, 070004, Kazakhstan
St. Petersburg State Institute of Technology (Technical University), St. Petersburg, 190013, Russian Federation
St. Petersburg Electrotechnical University (LETI), St. Petersburg, 197022, Russian Federation
St. Petersburg State University, St. Petersburg, 199034, Russian Federation

Center of Excellence Veritas
Smart Engineering Competence Center
St. Petersburg State Institute of Technology (Technical University)
St. Petersburg Electrotechnical University (LETI)
St. Petersburg State University

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