Topological Isomorphism of Liquid−Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs−Konovalov and Gibbs−Roozeboom Laws for Solubility Diagrams

Nikolay A. Charykov; Alexey V. Rumyantsev; Konstantin N. Semenov; Zhasulan Shaymardanov; Botogyz Shaymardanova; Natalia A. Kulenova; Marzhan A. Sadenova; Ludmila V. Shushkevich; Victor A. Keskinov; Alexander A. Blokhin

LAPSE

Living Archive for Process Systems Engineering

LAPSE:2023.35966

Published Article

LAPSE:2023.35966

Topological Isomorphism of Liquid−Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs−Konovalov and Gibbs−Roozeboom Laws for Solubility Diagrams

Nikolay A. Charykov, Alexey V. Rumyantsev, Konstantin N. Semenov, Zhasulan Shaymardanov, Botogyz Shaymardanova, Natalia A. Kulenova, Marzhan A. Sadenova, Ludmila V. Shushkevich, Victor A. Keskinov, Alexander A. Blokhin

June 7, 2023

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 K+,NH4+||Cl−,Br−−H2O 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.

Record ID

LAPSE:2023.35966

Keywords

alyotrope, Gibbs–Konovalov laws, Gibbs–Roozeboom rules, incomplete Gibbs potential metric, phase diagram topological isomorphism, reciprocal solid solutions

Subject

Modelling and Simulations

Suggested Citation

Charykov NA, Rumyantsev AV, Semenov KN, Shaymardanov Z, Shaymardanova B, Kulenova NA, Sadenova MA, Shushkevich LV, Keskinov VA, Blokhin AA. Topological Isomorphism of Liquid−Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs−Konovalov and Gibbs−Roozeboom Laws for Solubility Diagrams. (2023). LAPSE:2023.35966

Author Affiliations

Charykov NA: Saint-Petersburg State Institute of Technology, Technical University, Moskovskii Pr., 26, St. Petersburg 190013, Russia; Department of Physical Chemistry, Electrotechnical University «LETI», Prof. Popova Str., 5, St. Petersburg 197376, Russia [ORCID]
Rumyantsev AV: Saint-Petersburg State Institute of Technology, Technical University, Moskovskii Pr., 26, St. Petersburg 190013, Russia
Semenov KN: Department of Solid-State Chemistry, Institute of Chemistry, Saint Petersburg State University, Universitetskii Pr., 26, St. Petersburg 198504, Russia [ORCID]
Shaymardanov Z: Department of Metallurgy, Center “Veritas”, East Kazakhstan State Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk 070004, Kazakhstan
Shaymardanova B: Department of Metallurgy, Center “Veritas”, East Kazakhstan State Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk 070004, Kazakhstan
Kulenova NA: Department of Metallurgy, Center “Veritas”, East Kazakhstan State Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk 070004, Kazakhstan
Sadenova MA: Department of Metallurgy, Center “Veritas”, East Kazakhstan State Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk 070004, Kazakhstan
Shushkevich LV: Department of Metallurgy, Center “Veritas”, East Kazakhstan State Technical University, A.K. Protozanov Street, 69, Ust-Kamenogorsk 070004, Kazakhstan
Keskinov VA: Saint-Petersburg State Institute of Technology, Technical University, Moskovskii Pr., 26, St. Petersburg 190013, Russia [ORCID]
Blokhin AA: Saint-Petersburg State Institute of Technology, Technical University, Moskovskii Pr., 26, St. Petersburg 190013, Russia

Journal Name

Processes

Volume

11

Issue

5

First Page

1405

Year

2023

Publication Date

2023-05-06