“…[6][7][8][9] In Ca-treated Al-killed steel, complex sulfide inclusions are often observed; among these inclusions, single-phase (Mn,Ca)S solid solution and oxide-sulfide duplex, which consists of an oxide core and a sulfide ring, can be detected. [10][11][12][13] In the many theoretical investigations of inclusion formation in Ca-treated Al-killed steel, the activity of CaS associated with the oxide phase has often been assumed to be a constant, such as 1, [14] because of the very low solubility of CaS (2 to 5 wt pct) in calcium aluminate at 1823 K (1550°C) [15] and the lack of MnS inclusion in general structural steel above the liquidus temperature. However, MnS, resulting from the segregation and enrichment of sulfur element in the liquid portion, starts to precipitate in the interdendritic space; subsequently, CaS and MnS can dissolve each other to generate a solid solution of (Mn,Ca)S. [16] Therefore, the activity of CaS varies as a function of the molar fraction of CaS (X CaS ) in (Mn,Ca)S and cannot be treated as a constant.…”