Partition of the composition tetrahedron during construction of subsolidus isobaric-isothermal sections of the phase diagrams of quaternary systems


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Abstract

A problem of constructing subsolidus isobaric-isothermal sections of phase diagrams with constant-composition compounds and limited solid solutions was considered. Relations between the topological characteristics of such sections were derived. Their topological classification was proposed. An algorithm for constructing sections using the theory of finite graphs was developed. A problem of enumerating sections for diagrams with a given set of classification characteristics was solved.

About the authors

V. I. Kosyakov

Nikolaev Institute of Inorganic Chemistry, Siberian Branch

Author for correspondence.
Email: kosyakov@niic.nsc.ru
Russian Federation, pr. akademika Lavrent’eva 3, Novosibirsk, 630090

V. A. Shestakov

Nikolaev Institute of Inorganic Chemistry, Siberian Branch

Email: kosyakov@niic.nsc.ru
Russian Federation, pr. akademika Lavrent’eva 3, Novosibirsk, 630090

E. V. Grachev

Nikolaev Institute of Inorganic Chemistry, Siberian Branch

Email: kosyakov@niic.nsc.ru
Russian Federation, pr. akademika Lavrent’eva 3, Novosibirsk, 630090

V. Yu. Komarov

Nikolaev Institute of Inorganic Chemistry, Siberian Branch; Novosibirsk National State University (Novosibirsk State University, NGU)

Email: kosyakov@niic.nsc.ru
Russian Federation, pr. akademika Lavrent’eva 3, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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