An empirical formula for accurate calculation of liquidus temperature of blast furnace slags in SiO₂–Al₂O₃–CaO–MgO system

References

• Gan L, Xin J, Zhou Y. Accurate viscosity calculation for melts in SiO2-Al2O3-CaO-MgO systems. ISIJ Int. 2017;57. DOI:10.2355/isijinternational.ISIJINT-2016-581.
   Web of Science ®Google Scholar
• Xin J, Gan L, Jiao L, et al. Accurate density calculation for molten slags in SiO2-Al2O3-CaO-MgO systems. ISIJ Int. 2017;57. DOI:10.2355/isijinternational.ISIJINT-2017-070.
   Web of Science ®Google Scholar
• Osborn EF, DeVries RC, Gee KH, et al. Optimum composition of blast furnace slag as deduced from liquidus data for the quaternary system CaO-MgO-Al2O3-SiO2. J Met. 1954;6:33–45.
   Google Scholar
• Lukas HL, Fries SG, Sundman B. Computational thermodynamics: the Calphad method. Cambridge: University Press Cambridge; 2007.
   Google Scholar
• Belousov YL, Teslenko YM. Calculation of the liquidus temperature of silicate glass-forming melts of pyroxene composition. Fiz Khim Stekla. 1988;14:827–832.
   Google Scholar
• Rao Q, Piepel GF, Hrma P, et al. Liquidus temperatures of HLW glasses with zirconium-containing primary crystalline phases. J Non-Cryst Solids. 1997;220:17–29. doi: 10.1016/S0022-3093(97)00227-5
   Web of Science ®Google Scholar
• Vienna JD, Hrma P, Crum JV, et al. Liquidus temperature-composition model for multi-component glasses in the Fe, Cr, Ni, and Mn spinel primary phase field. J Non-Cryst Solids. 2001;292:1–24. doi: 10.1016/S0022-3093(01)00874-2
   Web of Science ®Google Scholar
• Karlsson KH, Backman R, Cable M, et al. Estimation of liquidus temperatures in silicate glasses. Glass Sci Technol. 2001;74:187–191.
   Google Scholar
• Wondraczek L, Beunet L. Liquidus prediction in multicomponent lithium alumosilicate glasses. J Am Ceram Soc. 2008;91:1309–1311. doi: 10.1111/j.1551-2916.2007.02237.x
   Web of Science ®Google Scholar
• Ferguson JB, Buddington AF. The binary system akermanite-gehlenite. Am J Sci. 1920; Series 450:131–140. doi: 10.2475/ajs.s4-50.296.131
   Google Scholar
• Buddington AF. On some natural and synthetic melilites. Am J Sci. 1922; Series 53:35–87. doi: 10.2475/ajs.s5-3.13.35
   Google Scholar
• Koch L. The system: wollastonite-anorthite-pyroxene-a contribution to the study of slags. Neues Jahrb Miner Geol Palaeontol Abh Abt A. 1930;61:277–320.
   Google Scholar
• Osborn EF, Schairer JF. The ternary system pseudowollastonite-akermanite-gehlenite. Am J Sci. 1941;239:715–763. doi: 10.2475/ajs.239.10.715
   Google Scholar
• Osborn EF. The system CaSiO3-diopside-anorthite. Am J Sci. 1942;240:751–788. doi: 10.2475/ajs.240.11.751
   Google Scholar
• Prince AT. Liquidus relationships on 10% MgO plane of the system lime-magnesia-alumina-silica. J Am Ceram Soc. 1954;37:402–408. doi: 10.1111/j.1151-2916.1954.tb14058.x
   Google Scholar
• de Wys EC, Foster WR. The binary system anorthite (CaAl2Si2O8)–akermanite (Ca2MgSi2O7). J Am Ceram Soc. 1956;39:372–376. doi: 10.1111/j.1151-2916.1956.tb15607.x
   Web of Science ®Google Scholar
• Segnit ER. The section CaSiO3-MgSiO3-Al2O3. Miner Mag. 1956;31:255–264.
   Google Scholar
• Wys EC D, Foster WR. The system diopside-anorthite-åkermanite. Miner Mag. 1958;31:736–743.
   Google Scholar
• Chinner GA, Schairer JF. The join Ca3Al2Si3O12-Mg3Al2Si3O12 and its bearing on the system CaO-MgO-Al2O3-SiO2 at atmospheric pressure. Am J Sci. 1962;260:611–634. doi: 10.2475/ajs.260.8.611
   Web of Science ®Google Scholar
• Gee KH, Osborn EF. Phase equilibria at liquidus temperatures in a part of the system CaO-MgO-Al2O3-SiO2: the system Ca2MgSi2O7-Ca2Al2SiO7-CaMgSi2O6-CaAl2Si2O8. Bull Earth Miner Sci Exp Station, The Pennsylvania States University.1969;85:23–51.
   Google Scholar
• Yang H-Y, Salmon JF, Foster WR. Phase equilibria of the join akermanite-anorthite-forsterite in the system CaO-MgO-Al2O3-SiO2 at atmospheric pressure. Am J Sci. 1972;272:161–188. doi: 10.2475/ajs.272.2.161
   Web of Science ®Google Scholar
• Kalmanovitch DP, Williamson J. Crystallization of coal ash melts. Mineral Matter and Ash in Coal. ACS Symposium Series 301; 1986; American Chemical Society. p. 234–255.
   Google Scholar
• Libourel G, Boivin P, Biggar G. The univariant curve liquid=forsterite+anorthite+diopside in the system CMAS at 1 bar: solid solutions and melt structure. Contr Miner Petrol. 1989;102:406–421. doi: 10.1007/BF00371084
   Web of Science ®Google Scholar
• Soulard H, Boivin P, Libourel G. Liquid-forsterite-anorthite-spinel assemblage at 1 bar in the CMAS system; implications for low-pressure evolution of high-Al and high-Mg magmas. Eur J Miner. 1994;6:633–646. doi: 10.1127/ejm/6/5/0633
   Web of Science ®Google Scholar
• Ma X, Wang G, Wu S, et al. Phase equilibria in the CaO–SiO2–Al2O3–MgO System with CaO/SiO2 ratio of 1.3 relevant to iron blast furnace slags. ISIJ Int. 2015;55:2310–2317. doi: 10.2355/isijinternational.ISIJINT-2015-263
   Web of Science ®Google Scholar
• Ma X, Zhang D, Zhao Z, et al. Phase equilibria studies in the CaO–SiO2–Al2O3–MgO System with CaO/SiO2 ratio of 1.10. ISIJ Int. 2016;56:513–519. doi: 10.2355/isijinternational.ISIJINT-2015-486
   Web of Science ®Google Scholar
• Kou M, Wu S, Ma X, et al. Phase equilibrium studies of CaO-SiO2-MgO-Al2O3 system with binary basicity of 1.5 related to blast furnace slag. Metall Mater Trans B. 2016;47:1093–1102. doi: 10.1007/s11663-016-0584-2
   Web of Science ®Google Scholar
• Cavalier G, Sandrea-Deudon M. Quaternary slags CaO-MgO-Al2O3-SiO2: liquidus surfaces and crystallisation paths for constant magnesia concentrations. Revue de Metall. 1960;57:1143–1157. doi: 10.1051/metal/196057121143
   Google Scholar
• Gutt W. High-temperature phase equilibriums in the partial system 2CaO.SiO2-2MgO.SiO2-Al2O3 in the quaternary system CaO-SiO2-Al2O3-MgO. J Iron Steel Inst. 1963;201:532–536.
   Google Scholar
• Gutt W. High-temperature phase equilibrium for the partial system 3CaO.MgO.2SiO2-MgO.Al2O3-2CaO.Al2O3.SiO2 in the quaternary system CaO-SiO2-Al2O3-MgO. J Iron Steel Inst. 1964;202:770–774.
   Google Scholar
• Gutt W, Russell AD. Studies of the system CaO-SiO2-Al2O3-MgO in relation to the stability of blast furnace slag. J Mater Sci. 1977;12:1869–1878. doi: 10.1007/BF00566249
   Web of Science ®Google Scholar
• Gran J, Yan B, Sichen D. Experimental determination of the liquidus in the high-basicity region in the Al2O3(25 mass pct)-CaO-MgO-SiO2 and Al2O3(35 mass pct)-CaO-MgO-SiO2 systems. Metall Mater Trans B. 2011;42:1008–1016. doi: 10.1007/s11663-011-9530-5
   Web of Science ®Google Scholar
• Gran J, Wang Y, Sichen D. Experimental determination of the liquidus in the high basicity region in the Al2O3(30 mass%)-CaO-MgO-SiO2 system. Calphad. 2011;35:249–254. doi: 10.1016/j.calphad.2010.11.004
   Web of Science ®Google Scholar