A 3D computer model of the CaO-MgO-Al2O3 T-x-y diagram at temperatures above 1300 °C

  • Vera P. Vorob’eva Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation https://orcid.org/0000-0002-2714-3808
  • Anna E. Zelenaya Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation https://orcid.org/0000-0001-5232-8567
  • Vasily I. Lutsyk Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation https://orcid.org/0000-0002-6175-0329
  • Marina V. Lamueva Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation https://orcid.org/0000-0001-8347-1753
Keywords: Phase diagram, Computer simulation, Oxides of calcium, magnesium, and aluminium

Abstract

The research analyses the controversies surrounding the technique for the formation of a CaO-Al2O3 binary system and the nature of melting of compounds in it, i.e. whether the 12:7 compound is technically possible and whether the 1:1 and 1:2 compounds are congruently or incongruently melting compounds. It also discusses whether in the CaO-MgO-Al2O3 ternary system the following compounds can be formed: a 3:1:1 compound alone or, in addition to it, two more compounds of 1:2:8 and 2:2:14. A 3D model of the T-x-y diagram was created for the most common version, with six binary and three ternary compounds. Its high-temperature portion (above 1300°C) consisted of 234 surfaces and 85 phase regions. Ternary compounds were formed as a result of three peritectic reactions. Besides them, six quasi-peritectic and three eutectic
invariant reactions occurred in the system with the participation of the melt. The principle of construction for a threedimensional model involved a gradual transition from a phase reaction scheme (which is transformed into a scheme of uni- and invariant states) presented in a tabulated and then in a graphical form (a template of ruled surfaces and isothermal planes corresponding to invariant reactions) to a T-x-y diagram prototype (graphic images of all liquidus, solidus, and solvus surfaces). The design was concluded with the transformation of the prototype into a 3D model of the real system after the input of the base points coordinates (concentrations and temperatures) and the adjustment of curvatures of lines and
surfaces. The finished model provides a wide range of possibilities for the visualisation of the phase diagram, including the construction of any arbitrarily assigned isothermal sections and isopleths. The 3D model was designed with the help of the author’s software PD Designer (Phase Diagram Designer). To assess the quality of the 3D model, two  versions of an isothermal section at 1840 °C were compared: model section and a fragment of an experimental section near Al2O3.

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Author Biographies

Vera P. Vorob’eva, Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation

DSc in Physics and Mathematics,
Leading Researcher at the Sector of Computer
Materials Design, Institute of Physical Materials
Science, Siberian Branch of the Russian Academy of
Sciences, Ulan-Ude, Russian Federation; e-mail:
vvorobjeva@mail.ru

Anna E. Zelenaya, Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation

PhD in Physics and Mathematics,
Senior Researcher at the Sector of Computer Materials
Design, Institute of Physical Materials Science,
Siberian Branch of the Russian Academy of Sciences,
Ulan-Ude, Russian Federation; e-mail: zel_ann@mail.ru

Vasily I. Lutsyk, Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation

DSc in Chemistry, Head of the
Sector of Computer Materials Design, Institute of
Physical Materials Science, Siberian Branch of the
Russian Academy of Sciences, Ulan-Ude, Russian
Federation; e-mail: vluts@ipms.bscnet.ru

Marina V. Lamueva, Institute of Physical Materials Science, Siberian Branch of the Russian Academy of Sciences, 6 Sakhianova ul., Ulan-Ude 670047, Russian Federation

post-graduate student of
Sector of Computer Materials Design, Institute of
Physical Materials Science SB RAS, Ulan-Ude, Russian
Federation, e-mail: marina_bgu@mail.ru

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Published
2021-08-17
How to Cite
Vorob’eva, V. P., Zelenaya, A. E., Lutsyk, V. I., & Lamueva, M. V. (2021). A 3D computer model of the CaO-MgO-Al2O3 T-x-y diagram at temperatures above 1300 °C. Kondensirovannye Sredy I Mezhfaznye Granitsy = Condensed Matter and Interphases, 23(3), 380-386. https://doi.org/10.17308/kcmf.2021.23/3529
Section
Original articles