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Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams. / Чарыков, Николай Александрович ; Румянцев, А. В.; Семёнов, Константин Николаевич; Шаймарданов, Жасулан Кудайбергенович; Шаймарданова, Ботагоз; Куленова, Н. А.; Саденова, М. А.; Шушкевич, Л. В.; Кескинов, Виктор Анатольевич; Блохин, Александр Андреевич.

In: Processes, Vol. 11, No. 5, 1405, 06.05.2023.

Research output: Contribution to journal › Article › peer-review

Harvard

Чарыков, НА, Румянцев, АВ, Семёнов, КН, Шаймарданов, ЖК, Шаймарданова, Б, Куленова, НА, Саденова, МА, Шушкевич, ЛВ, Кескинов, ВА & Блохин, АА 2023, 'Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams', Processes, vol. 11, no. 5, 1405. https://doi.org/10.3390/pr11051405

APA

Чарыков, Н. А., Румянцев, А. В., Семёнов, К. Н., Шаймарданов, Ж. К., Шаймарданова, Б., Куленова, Н. А., Саденова, М. А., Шушкевич, Л. В., Кескинов, В. А., & Блохин, А. А. (2023). Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams. Processes, 11(5), [1405]. https://doi.org/10.3390/pr11051405

Vancouver

Чарыков НА, Румянцев АВ, Семёнов КН, Шаймарданов ЖК, Шаймарданова Б, Куленова НА et al. Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams. Processes. 2023 May 6;11(5). 1405. https://doi.org/10.3390/pr11051405

Author

Чарыков, Николай Александрович ; Румянцев, А. В. ; Семёнов, Константин Николаевич ; Шаймарданов, Жасулан Кудайбергенович ; Шаймарданова, Ботагоз ; Куленова, Н. А. ; Саденова, М. А. ; Шушкевич, Л. В. ; Кескинов, Виктор Анатольевич ; Блохин, Александр Андреевич. / Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams. In: Processes. 2023 ; Vol. 11, No. 5.

BibTeX

@article{b1bfc4697de7482c94a30c9153872e75,
title = "Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams",
abstract = "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.",
keywords = "Gibbs–Konovalov laws, Gibbs–Roozeboom rules, alyotrope, incomplete Gibbs potential metric, phase diagram topological isomorphism, reciprocal solid solutions",
author = "Чарыков, {Николай Александрович} and Румянцев, {А. В.} and Семёнов, {Константин Николаевич} and Шаймарданов, {Жасулан Кудайбергенович} and Ботагоз Шаймарданова and Куленова, {Н. А.} and Саденова, {М. А.} and Шушкевич, {Л. В.} and Кескинов, {Виктор Анатольевич} and Блохин, {Александр Андреевич}",
year = "2023",
month = may,
day = "6",
doi = "10.3390/pr11051405",
language = "English",
volume = "11",
journal = "Processes",
issn = "2227-9717",
publisher = "MDPI AG",
number = "5",

}

RIS

TY - JOUR

T1 - Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams

AU - Чарыков, Николай Александрович

AU - Румянцев, А. В.

AU - Семёнов, Константин Николаевич

AU - Шаймарданов, Жасулан Кудайбергенович

AU - Шаймарданова, Ботагоз

AU - Куленова, Н. А.

AU - Саденова, М. А.

AU - Шушкевич, Л. В.

AU - Кескинов, Виктор Анатольевич

AU - Блохин, Александр Андреевич

PY - 2023/5/6

Y1 - 2023/5/6

N2 - 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.

AB - 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.

KW - Gibbs–Konovalov laws

KW - Gibbs–Roozeboom rules

KW - alyotrope

KW - incomplete Gibbs potential metric

KW - phase diagram topological isomorphism

KW - reciprocal solid solutions

UR - https://www.mendeley.com/catalogue/dc0dd343-e080-3a6c-b3e2-1670ffa9c28a/

U2 - 10.3390/pr11051405

DO - 10.3390/pr11051405

M3 - Article

VL - 11

JO - Processes

JF - Processes

SN - 2227-9717

IS - 5

M1 - 1405

ER -

ID: 113806552