“…[12][13][14][15][16][17]23,24) A large number of thermodynamic models based on thermodynamic and phase equilibrium data for a given system has been developed, 25) which can be used to predict the relationship between compositions of slag, steel, and inclusions in relatively simple systems, such as Al-O, [26][27][28] AlMg-O, [29][30][31] Al-Ca-O, [32][33][34] Al-Ti-O, [35][36][37] Al-Si-Ca-O, 38,39) Al-Si-Mn-O, [40][41][42] etc. However, the thermodynamic models can hardly be applied to a multicomponent system due to complicated calculations and lack of thermodynamic data.…”