“…(1) and (2) generally increases with increasing basicity in the lime-based silicate, aluminate, and aluminosilicate melts with and without fluorspar, 6,8,[10][11][12][13][14] whilst there are some experimental results for an increase in the carbon solubility as the content of acidic oxides (SiO 2 and B 2 O 3 ) increases. 8,10,15,16) ......... (1) .......... (2) where K (1) , a i , f C 2 2Ϫ, and p O 2 are, respectively, the equilibrium constant of Eq. (1), the activity of i, the activity coefficient of carbide ions, and the oxygen partial pressure.…”