Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams
Charykov N.A. Rumyantsev A.V. Semenov K.N. Shaymardanov Z. Shaymardanova B. Kulenova N.A. Sadenova M.A. Shushkevich L.V. Keskinov V.A. Blokhin A.A.
May 2023Multidisciplinary Digital Publishing Institute (MDPI)
Processes
2023#11Issue 5
The comprehensive topological isomorphism of liquid–vapor, fusibility, and solubility diagrams in the proper sets of variables is proven with the aid of van der Waals equations of the shift in phase equilibrium. Analogues of Gibbs–Konovalov and Gibbs–Roozeboom laws are demonstrated in solubility diagrams of ternary and quaternary systems under crystallization of different types of solid solutions. For the demonstration, the quaternary reciprocal system (Formula presented.) and its ternary subsystems with modeling of the liquid phase within the framework of the classical Pitzer formalism are mainly used. An algorithm for calculating solubility equilibria in these systems is given.
alyotrope , Gibbs–Konovalov laws , Gibbs–Roozeboom rules , incomplete Gibbs potential metric , phase diagram topological isomorphism , reciprocal solid solutions
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Saint-Petersburg State Institute of Technology, Technical University, Moskovskii Pr., 26, St. Petersburg, 190013, Russian Federation
Department of Physical Chemistry, Electrotechnical University «LETI», Prof. Popova Str., 5, St. Petersburg, 197376, Russian Federation
Department of Solid-State Chemistry, Institute of Chemistry, Saint Petersburg State University, Universitetskii Pr., 26, St. Petersburg, 198504, Russian Federation
Department of Metallurgy, Center “Veritas”, East Kazakhstan State Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk, 070004, Kazakhstan
Saint-Petersburg State Institute of Technology
Department of Physical Chemistry
Department of Solid-State Chemistry
Department of Metallurgy
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