Yelkenci, TanjuErkmen, Z. Engin2025-02-202025-02-2020231547-70371863-7345https://doi.org/10.1007/s11669-023-01033-3https://hdl.handle.net/20.500.12846/1653In this study, the 3 dimensional description of the quaternary subsolidus slag system aluminasilicacalcia-magnesia is evaluated using Mathematica programming based on previous experimental research data. The lever rule in the tetrahedra is then applied for a given arbitrary liquid composition A% + %B + %C + %D = 100 in order to calculate the solid phases present (neglecting solid solutions) with their relative proportions after the solidification is completed. A novel transformation and algorithm are then developed using simple geometry and MathLab programming which can also be used for other subsolidus systems in case appropriate data are provided.eninfo:eu-repo/semantics/closedAccessiron steel slagmathematical modelquaternary systemsubsolidus equilibriumArticle44210.1007/s11669-023-01033-3200207Q3Q2WOS:0009607508000012-s2.0-85151435091