The influence of CaF 2 , Na 2 O, and basicity on the solubility of carbon in the CaO-SiO 2 -CaF 2 -Na 2 O slag at 1 773 K was investigated on the basis of carbide capacity concept. The carbide capacity of the CaO satdSiO 2 -CaF 2 system increases with increasing CaF 2 content up to about 40 mass%, followed by nearly constant value. The capacity of the slags saturated with Ca 2 SiO 4 also increases with increasing the content of CaF 2 and this trend can be explained from the depolymerization reaction of silicate network by F Ϫ ions. The carbide capacity of the slags increases by increasing the ratio of (%CaF 2 )/(%SiO 2 ) up to about 0.8, followed by slight increase or nearly constant value at a fixed CaO content. The capacity also increases by increasing the ratio of (%CaO)/(%SiO 2 ) at a fixed CaF 2 content. The carbide capacity of the Na 2 O-containing slags linearly increases with increasing the basicity, B (ϵ{(%CaO)ϩ(%Na 2 O)}/(%SiO 2 )) and the dependence of the capacity on the basicity decreases by increasing the CaF 2 content. On the other hand, the capacity decreases with increasing CaF 2 content at basicity, B of the slags greater than about 2.0 and vice versa in the composition of BՅ2.0. The capacity of the slags containing CaF 2 and Na 2 O could quantitatively be described by the activity of CaO rather than optical basicity.