Abstract
Based on the reference thermodynamic data, a four-component Fe-Zr-Al-Si system is constructed and its mathematical model of the phase structure is created. As a result, it turned out that it consists of 12 elementary tetrahedra. For each of the tetrahedra, analytical equations are defined, with the help of which it is possible to determine the location in the factor space of the general system of compositions of various metal melts with the calculation of their standard phase compositions. The breakdown of the overall system is carried out taking into account congruent connections. The sum of the relative volumes of elementary tetrahedra is equal to one (1.00000), which confirms the correctness of the tetrahedron. Quasi-volumes in the Fe-Zr-Al-Si system are established, which simulate the compositions of the metal products formed during the smelting of various ferrosilicocyrconium alloys during the reduction process . As a result, it was found that the alloy with a 25% Zr content is modeled by the Si-Fe2Al5-FeSi2 - Zr6Si5 tetrahedron, and the alloy compositions with 35 and 50% Zr are decomposed in the Si-Fe2Al5-FeSi2 - Zr6Si5 and Zr5Si3-Fe-Fe2Al5-FeSi tetrahedra, respectively.