Progress in the field of aircraft construction is usually determined by the functional capabilities of those materials that are used for the creation of aircraft equipment. Compositions of celsian-slawsonite ceramics belonging to the BaO–SrO–Al2O3–SiO2 oxide system are promising for use in the aircraft industry due to their high operational properties. In this regard, a theoretical study of its subsolidus structure is of great interest. The paper presents the results of calculating the Gibbs free energy for coupled reactions in the selected multicomponent system. The temperature intervals of the coexistence of phase combinations are given and the formed elementary tetrahedra are constructed. According to the results of theoretical studies, it is established that the considered multicomponent system is divided into 28 elementary tetrahedra. The existence of a combination of Sr2Al2SiO7–2SrSiO3–BaSiO3 phases in the temperature range of 300–700 K is confirmed, a "filled triangle" being formed between them. Based on the results of thermodynamic calculations, it is established that the reaction between Ba2SiO4 and SrAl2Si2O8 phases does not occur at temperatures up to 1200 K, and it is thermodynamically possible in the range of 1200–1700 K with the formation of a combination of BaSiO3–BaAl2O4–Sr2Al2SiO7 phases, which form a "filled circuit".
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