Topology of the liquidus hypersurface of the phase diagrams of quaternary systems
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Consideration was made of structural features of the liquidus and solidus hypersurfaces of the isobaric melting diagrams of quaternary systems with a single liquid phase and solid phases of constant compositions which undergo neither phase transitions nor decomposition into other phases while cooling. An intimate relationship between the topologies of such hypersurfaces was noted. The oriented graph of the liquidus hypersurface can be obtained from the graph of the solidus hypersurface by drawing arrows on its edges in the direction of decreasing temperature along the corresponding monovariant lines or by labeling its vertices with symbols of types of invariant reactions. An example was given for constructing different variants of the melting diagram of a system that correspond to the same topology of the solidus hypersurface.
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- 1.F. N. Rhines, Phase Diagrams in Metallurgy: Their Development and Application (McGraw-Hill, New York, 1956).Google Scholar
- 2.A. M. Zakharov, State Diagrams of Quaternary Systems (Metallurgiya, Moscow, 1964) [in Russian].Google Scholar
- 3.V. Ya. Anosov, M. I. Ozerova, and Yu. Ya. Fialkov, Fundamentals of Physicochemical Analysis (Nauka, Moscow, 1978) [in Russian].Google Scholar
- 4.D. A. Petrov, Quaternary Systems: A New Approach to Construction and Analysis (Metallurgiya, Moscow, 1991) [in Russian].Google Scholar
- 7.V. I. Kosyakov, A. G. Kraeva, Zh. N. Fedorova, and E. F. Sinyakova, Geol. Geofiz., No. 12, 7 (1996).Google Scholar
- 10.E. Yu. Kerimov, Yu. V. Balykova, and E. M. Slyusarenko, Chem. Met. Alloys 1, 244 (2008).Google Scholar
- 13.V. I. Kosyakov and E. F. Sinyakova, Russ. J. Inorg. Chem. 62, 577 (2017).Google Scholar