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.1578 北京科技大学学报 第35卷 CaO-SiO2-MgO-FeO-Fe203-MnO-Al203-P205 slags and mochemistry and phase equilibria in oxide-based systems molten steel during a top-bottom combined blown con- of industrial interest//Proceedings of Pyrometallurgy /95. verter steelmaking process based on the ion and molecule Cambridge,1995 coexistence theory.Metall Mater Trans B,2011,42(4): [23]Chen C,Jahanshahi S.Thermodynamics of arsenic in 738 FeOz-CaO-SiO2 slags.Metall Mater Trans B,2010, (8]Yang X M,Shi C B,Zhang M,et al.A Thermodynamic 41(6):1166 model of phosphate capacity for CaO-SiO2-MgO-FeO- [24 Pelton A D,Degterov S A,Eriksson G,et al.The modified Fe2O3-MnO-Al2O3-P20s slags equilibrated with molten quasichemical model:I.Binary solutions.Metall Mater steel during a top-bottom combined blown converter steel- Trans B,2000,31(4):651 making process based on the ion and molecule coexistence [25]Pelton A D,Chartrand P.The modified quasi-chemical theory.Metall Mater Trans B,2011,42(5):951 model:Part II.Multicomponent solutions.Metall Mater 9]Bodsworth C.The activity of ferrous oxide in silicate Trans A,2001,32(6):1355 melts.J Iron Steel Inst,1959,193(9):13 [26 Chartrand P,Pelton A D.The modified quasi-chemical [10 Lii Q,Zhao L,Wang C,et al.Activities of FeO in CaO- model:Part III.Two sublattices.Metall Mater Trans A, SiO2-Al203-MgO-FeO slags.J Shanghai Univ,2008, 2001,32(7):1397 12(5):466 [27 Pelton A D,Chartrand P,Eriksson G.The modified quasi- [11]Davidson I M,Bodsworth C.The activity of ferrous oxide chemical model:Part IV.Two-sublattice quadruplet ap- in silicate melts containing calcium and manganese oxides. proximation.Metall Mater Trans A,2001,32(6):1409 J Iron Steel Inst,1960,195(6):163 [28]Kang Y B,Pelton A D.Thermodynamic model and [12 Liu S,Fruehan R J,Morales A,et al.Measurement of FeO database for sulfides dissolved in molten oxide slags.Met- activity and solubility of MgO in smelting slags.Metall all Mater Trans B.2009,40(6):979 Mater Trans B,2001,32(1):31 [29]Jung I H,Kang Y B,Decterov S A,et al.Thermody- [13]Basu S,Lahiri A,Seetharaman S.Activity of iron oxide namic evaluation and optimization of the MnO-Al2Og and in steelmaking slag.Metall Mater Trans B,2008,39(3): MnO-Al203-SiO2 systems and applications to inclusion 447 engineering.Metall Mater Trans B,2004,35(2):259 14 Tao D P.Prediction of activities of three components in [30 Eriksson G,Pelton A D.Critical evaluation and optimiza- the ternary molten slag CaO-FeO-SiO2 by the molecular tion of the thermodynamic properties and phase diagrams interaction.Metall Mater Trans B.2006,37(6):1091 of the MnO-TiO2,MgO-TiO2,FeO-TiO2,Ti2Os-TiO2. [15]Im J,Morita K,Sano N.Phosphorus distribution ratios Na2O-TiO2,and K20-TiO2 systems.Metall Trans B, between CaO-SiO2-FeO slags and carbon-saturated iron 1993,24(5):795 at1573K.IS1.JInt1996,36(5):517 [31]Kondratiev A,Jak E.A quasi-chemical viscosity model [16]Borgianni C,Granati P.Thermodynamic properties of sil- for fully liquid slags in the Al2O3-CaO-FeO'-SiO2 sys- icates and of alumino-silicates from montecarlo calcula- tem.Metall Mater Trans B,2005,36(5):623 tions.Metall Trans B,1977,8(1):147 [32]Pelton A D,Blander M.Computer assisted analysis of [17]Sommerville J D,Ivanchev I,Bell H B.Chemical metal- the thermodynamic and phase diagrams of slags/AIME lurgy of iron and steel /Proceedings of the International Symposium on Metallurgical Slags and Flures.Warren- Symposium on Metallurgical Chemistry:Applications in dale,1984:281 Ferrous Metallurgy.London,1973:23 [33 Ban-ya S.Mathematical expression of slag-metal reactions [18]Ottonello G.Thermodynamic constraints arising from the in steelmaking process by quadratic formalism based on polymeric approach to silicate slags:the system CaO-FeO- the regular solution model.ISIJ Int,1993,33(2):2 SiO2 as an example.J Non Cryst Solids,2001,282(1):72 [34]Hallstedt B,Hillert M,Selleby M,et al.Modelling of acid [19]Zhang L,Sun S,Jahanshahi S.An approach to modeling and basic slags.Calphad,1994,18(1):31 Al2O3 containing slags with the cell model.J Phase Equi-[35]Tijskens E,Viaene W A,Geerlings P.The ionic model: hDf,2007,28(1121 extension to spatial charge distributions,derivation of an [20]Modigell M,Traebert A,Monheim P,et al.A new tool interaction potential for silica polymorphs.Phys Chem for process modelling of metallurgical processes.Comput Miner,1995,22(3):186 Chem Eng,2001,25(4-6):723 [36 Oertel L C,Costa A,Silva E.Application of thermody- [21]Kapoor M L.Frohberg M G.Theoretical Treatment of namic modeling to slag-metal equilibria in steelmaking. Activities in Silicate Melts.London,1971:17 Calphad,1999,23(3/4):379 22]Dinsdale A T,Gisby J A,Barry T I,et al.Predictive ther- [37]Yang X M,Jiao J S,Ding R C,et al.A thermodynamic· 1578 · 北 京 科 技 大 学 学 报 第 35 卷 CaO-SiO2-MgO-FeO-Fe2O3-MnO-Al2O3-P2O5 slags and molten steel during a top-bottom combined blown con￾verter steelmaking process based on the ion and molecule coexistence theory. Metall Mater Trans B, 2011, 42(4): 738 [8] Yang X M, Shi C B, Zhang M, et al. A Thermodynamic model of phosphate capacity for CaO-SiO2-MgO-FeO￾Fe2O3-MnO-Al2O3-P2O5 slags equilibrated with molten steel during a top-bottom combined blown converter steel￾making process based on the ion and molecule coexistence theory. Metall Mater Trans B, 2011, 42(5): 951 [9] Bodsworth C. The activity of ferrous oxide in silicate melts. J Iron Steel Inst, 1959, 193(9):13 [10] L¨u Q, Zhao L, Wang C, et al. Activities of FeO in CaO￾SiO2-Al2O3-MgO-FeO slags. J Shanghai Univ, 2008, 12(5): 466 [11] Davidson I M, Bodsworth C. The activity of ferrous oxide in silicate melts containing calcium and manganese oxides. J Iron Steel Inst, 1960, 195(6): 163 [12] Liu S, Fruehan R J, Morales A, et al. Measurement of FeO activity and solubility of MgO in smelting slags. Metall Mater Trans B, 2001, 32(1): 31 [13] Basu S, Lahiri A, Seetharaman S. Activity of iron oxide in steelmaking slag. Metall Mater Trans B, 2008, 39(3): 447 [14] Tao D P. Prediction of activities of three components in the ternary molten slag CaO-FeO-SiO2 by the molecular interaction. Metall Mater Trans B, 2006, 37(6): 1091 [15] Im J, Morita K, Sano N. Phosphorus distribution ratios between CaO-SiO2-FetO slags and carbon-saturated iron at 1 573 K. ISIJ Int, 1996, 36(5): 517 [16] Borgianni C, Granati P. Thermodynamic properties of sil￾icates and of alumino-silicates from montecarlo calcula￾tions. Metall Trans B, 1977, 8(1): 147 [17] Sommerville J D, Ivanchev I, Bell H B. Chemical metal￾lurgy of iron and steel // Proceedings of the International Symposium on Metallurgical Chemistry:Applications in Ferrous Metallurgy. London, 1973: 23 [18] Ottonello G. Thermodynamic constraints arising from the polymeric approach to silicate slags: the system CaO-FeO￾SiO2 as an example. J Non Cryst Solids, 2001, 282(1): 72 [19] Zhang L,Sun S, Jahanshahi S. An approach to modeling Al2O3 containing slags with the cell model. J Phase Equi￾lib Diff, 2007, 28(1): 121 [20] Modigell M, Traebert A, Monheim P, et al. A new tool for process modelling of metallurgical processes. Comput Chem Eng, 2001, 25(4-6): 723 [21] Kapoor M L, Frohberg M G. Theoretical Treatment of Activities in Silicate Melts. London, 1971: 17 [22] Dinsdale A T, Gisby J A, Barry T I, et al. Predictive ther￾mochemistry and phase equilibria in oxide-based systems of industrial interest // Proceedings of Pyrometallurgy 095. Cambridge, 1995 [23] Chen C, Jahanshahi S. Thermodynamics of arsenic in FeOx-CaO-SiO2 slags. Metall Mater Trans B, 2010, 41(6): 1166 [24] Pelton A D, Degterov S A, Eriksson G, et al. The modified quasichemical model: I. Binary solutions. Metall Mater Trans B, 2000, 31(4): 651 [25] Pelton A D, Chartrand P. The modified quasi-chemical model: Part II. Multicomponent solutions. Metall Mater Trans A, 2001, 32(6): 1355 [26] Chartrand P, Pelton A D. The modified quasi-chemical model: Part III. Two sublattices. Metall Mater Trans A, 2001, 32(7): 1397 [27] Pelton A D, Chartrand P, Eriksson G. The modified quasi￾chemical model: Part IV. Two-sublattice quadruplet ap￾proximation. Metall Mater Trans A, 2001, 32(6): 1409 [28] Kang Y B, Pelton A D. Thermodynamic model and database for sulfides dissolved in molten oxide slags. Met￾all Mater Trans B, 2009, 40(6): 979 [29] Jung I H, Kang Y B, Decterov S A, et al. Thermody￾namic evaluation and optimization of the MnO-Al2O3 and MnO-Al2O3-SiO2 systems and applications to inclusion engineering. Metall Mater Trans B, 2004, 35(2): 259 [30] Eriksson G, Pelton A D. Critical evaluation and optimiza￾tion of the thermodynamic properties and phase diagrams of the MnO-TiO2, MgO-TiO2, FeO-TiO2, Ti2O3-TiO2, Na2O-TiO2, and K2O-TiO2 systems. Metall Trans B, 1993, 24(5): 795 [31] Kondratiev A, Jak E. A quasi-chemical viscosity model for fully liquid slags in the Al2O3-CaO-‘FeO’-SiO2 sys￾tem. Metall Mater Trans B, 2005, 36(5): 623 [32] Pelton A D, Blander M. Computer assisted analysis of the thermodynamic and phase diagrams of slags // AIME Symposium on Metallurgical Slags and Fluxes. Warren￾dale, 1984: 281 [33] Ban-ya S. Mathematical expression of slag-metal reactions in steelmaking process by quadratic formalism based on the regular solution model. ISIJ Int, 1993, 33(2): 2 [34] Hallstedt B, Hillert M, Selleby M, et al. Modelling of acid and basic slags. Calphad, 1994, 18(1): 31 [35] Tijskens E, Viaene W A, Geerlings P. The ionic model: extension to spatial charge distributions, derivation of an interaction potential for silica polymorphs. Phys Chem Miner, 1995, 22(3): 186 [36] Oertel L C, Costa A, Silva E. Application of thermody￾namic modeling to slag-metal equilibria in steelmaking. Calphad, 1999, 23(3/4): 379 [37] Yang X M, Jiao J S, Ding R C, et al. A thermodynamic
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