Abstract
A critical evaluation and thermodynamic modeling for thermodynamic properties of all oxide phases and phase diagrams in the Fe-Mn-Si-O system (MnO-Mn\(_{2}\)O\(_{3}\)-SiO\(_{2}\) and FeO-Fe\(_{2}\)O\(_{3}\)-MnO-Mn\(_{2}\)O\(_{3}\)-SiO\(_{2}\) systems) are presented. Optimized Gibbs energy parameters for the thermodynamic models of the oxide phases were obtained which reproduce all available and reliable experimental data within error limits from 298 K (25 \(^{\circ }\)C) to above the liquidus temperatures at all compositions covering from known oxide phases, and oxygen partial pressure from metal saturation to 0.21 bar. The optimized thermodynamic properties and phase diagrams are believed to be the best estimates presently available. Slag (molten oxide) was modeled using the modified quasichemical model in the pair approximation. Olivine (Fe\(_{2}\)SiO\(_{4}\)-Mn\(_{2}\)SiO\(_{4}\)) was modeled using two-sublattice model in the framework of the compound energy formalism (CEF), while rhodonite (MnSiO\(_{3}\)-FeSiO\(_{3}\)) and braunite (Mn\(_{7}\)SiO\(_{12}\) with excess Mn\(_{2}\)O\(_{3}\)) were modeled as simple Henrian solutions. It is shown that the already developed models and databases of two spinel phases (cubic- and tetragonal-(Fe, Mn)\(_{3}\)O\(_{4}\)) using CEF [Kang and Jung, J. Phys. Chem. Solids (2016), vol. 98, pp. 237–246] can successfully be integrated into a larger thermodynamic database to be used in practically important higher order system such as silicate. The database of the model parameters can be used along with a software for Gibbs energy minimization in order to calculate any type of phase diagram section and thermodynamic properties.
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References
Y.-B. Kang, H.-G. Lee, ISIJ Int. 44, 1006–1015 (2004)
I.-H. Jung, S. Decterov, A.D. Pelton, ISIJ Int. 44, 527–536 (2004)
Y. Gong, H.-S. Kim, B.C. de Cooman, ISIJ Int. 48, 1745–51 (2008)
Y. Gong, H.-S. Kim, B.C. de Cooman, ISIJ Int. 49, 557–563 (2009)
S. Degterov, E. Jak, P. Hayes, A. Pelton, Metall. Mater. Trans. B. 32B, 643–657 (2001)
Y.-B. Kang, I.-H. Jung, Metall. Mater. Trans. E. 3E, 156–170 (2016)
P. Wu, G. Eriksson, A. Pelton, J. Am. Ceram. Soc. 76, 2065–2075 (1993)
Y.-B. Kang, I.-H. Jung, J. Phys. Chem. Solids 98, 237–246 (2016)
Y.-B. Kang, I.-H. Jung, J. Phys. Chem. Solids 101, 90 (2017)
E. Jak, P. Hayes, A. Pelton, and S. Decterov: Int. J. Mater. Res. (formerly Z. Metallkd.), 2007, vol. 98, pp. 847–54
G. Eriksson, P. Wu, M. Blander, A. Pelton, Can. Metall. Q. 33, 13–22 (1994)
A. Pelton and M. Blander: Proc. 2nd Int. Symp. Metall. Slags Fluxes, TMS-AIME, Warrendale, PA, 1984, pp. 281–94
A. Pelton, M. Blander, Metall. Trans. B 17B, 805–815 (1986)
A. Pelton, S. Degterov, G. Eriksson, C. Robelin, Y. Dessureault, Metall. Mater. Trans. B 31B, 651–659 (2000)
C. Bale, P. Chartrand, S. Degterov, G. Eriksson, K. Hack, R.B. Mahfoud, J. Melançon, A. Pelton, S. Petersen, Calphad 26, 189–228 (2002)
C. Bale, É. Belisle, P. Chartrand, S. Degterov, G. Eriksson, K. Hack, I.-H. Jung, Y.-B. Kang, J. Melançon, A. Pelton, C. Robelin, S. Petersen, Calphad 33, 295–311 (2009)
C. Bale, É. Belisle, P. Chartrand, S. Degterov, G. Eriksson, A. Gheribi, K. Hack, I.-H. Jung, Y.-B. Kang, J. Melançon, A. Pelton, S. Petersen, C. Robelin, J. Sangster, P. Spencer, M.-A. Van Ende, Calphad 54, 35–53 (2016)
A. Pelton, P. Chartrand, Metall. Mater. Trans. A 32A, 1355–1360 (2001)
G. Eriksson, A.D. Pelton, Metall. Trans. B 24B, 807–816 (1993)
A. Pelton, Calphad 25, 319–328 (2001)
W. Deer, R. Howie, and J. Zussman: An Introduction to the Rock-Forming Minerals, 2nd ed., Addison-Wesley Pub. Co., Boston, MA, 1992
R. Shannon, Acta Crystallogr. A32, 751–767 (1976)
M. Hillert, B. Jansson, B. Sundman, Z. Metallkd. 79, 81–87 (1988)
I.-H. Jung: Ph.D. Thesis, École Polytechnique de Montréal, Montreal, 2003
I.-H. Jung, S. Decterov, A. Pelton, Metall. Mater. Trans. B 35B, 877–889 (2004)
I. Abs-Wurmbach, Contrib. Mineral. Petrol. 71, 393–399 (1980)
I. Abs-Wurmbach, T. Peters, K. Langer, W. Schreyer, Neues Jahrb. Mineral. Abh. 146, 258–279 (1983)
K. Schwerdtfeger, A. Muan, Trans. Metall. Soc. AIME 239, 1114–1119 (1967)
E. Aukrust, A. Muan, Trans. Met. Soc. AIME 230, 1395–1399 (1964)
K. Ono, T. Ueda, T. Ozaki, Y. Ueda, A. Yamaguchi, J. Moriyama, Nippon Kinzoku Gakkaishi 35, 757–763 (1971)
P. Franke, R. Dieckmann, J. Phys. Chem. Solids 51, 49–57 (1990)
R. Subramanian, R. Dieckmann, J. Am. Ceram. Soc. 76, 2065–2075 (1993)
SGTE alloy database. http://www.sgte.org. Accessed Oct 2007
A. Muan, Am. J. Sci. 275, 297–315 (1959)
A. Muan, Am. Mineral. 44, 946–960 (1959)
J. de Villaers, F. Herbstein, Am. Mineral. 52, 20–30 (1967)
R. Robie, J. Huebner, B. Hemingway, Am. Mineral. 80, 560–575 (1995)
J.-H. Huang, E. Rosén, Phys. Chem. Miner. 21, 228–233 (1994)
O. Florke: Ber. Dtsch. Keram. Ges., 1961, vol. 38, pp. 89–132.
A. Morris, A. Muan, J. Met. 18, 957–960 (1966)
C. Henderson, K. Knight, S. Redfern, B. Wood, Science 271, 1713–1715 (1996)
S. Redfern, C. Henderson, B. Wood, R. Harrison, K. Knight, Nature 381, 407–409 (1996)
S. Redfern, C. Henderson, K. Knight, B. Wood, Eur. J. Mineral. 9, 287–300 (1997)
S. Redfern, Physica B 241–243, 1189–1196 (1998)
S. Redfern, K. Knight, C. Henderson, B. Wood, Mineral. Mag. 62, 607–615 (1998)
H. Annersten, J. Adetunji, A. Filippdis, Am. Mineral. 69, 1110–1115 (1984)
O. Ballet, H. Fuess, T. Fritzsche, Phys. Chem. Miner. 15, 54–58 (1987)
K. Schwerdtfeger, A. Muan, Trans. Met. Soc. AIME 236, 201–211 (1966)
T.-K. Jeong, G. Jung, K.-Y. Lee, Y.-B. Kang, H.K.D.B. Bhadeshia, D.-W. Suh, Mater. Sci. Technol. 30, 1805–1814 (2014)
Y. Kim, J. Lee, J. Mater. Sci. 47, 8477–8482 (2012)
S. Decterov, I.-H. Jung, Y.-B. Kang, E. Jak, V. Swamy, D. Kevorkov, and A. Pelton: F*A*C*T Consortium 2002 Progress Report. Technical Report, École Polytechnique de Montréal, Montréal, QC, 2002
Y.-B. Kang, I.-H. Jung, S. Decterov, A. Pelton, H.-G. Lee, ISIJ Int. 44, 965–974 (2004)
S. Ban-Ya, M. Hino, N. Yuge, Tetsu Hagane 71, 853–860 (1985)
H. Fujita, S. Maruhashi, Tetsu Hagane 56, 830–851 (1970)
Y. Kojima, K. Sano, Tetsu Hagane 51, 1122–1130 (1965)
V. Schenck, G. Wiesner, Arch. Eisenhüttenwes. 27, 1–11 (1956)
F. Körber and W. Oelsen: Mitt. K. Wilh. Inst. Eisenforsch., 1933, vol. 15, pp. 271–391
P. Riboud, A. Muan, Trans. Metall. Soc. AIME 224, 27–33 (1962)
J.C. Herty Jr. and M. Royer: Technical Report, Technical Paper No. 523, U.S. Bureau of Mines, 1932
R. Hay, J. White, A. McIntosh, and W. Scot: Iron Steel Inst., 1934–1935, vol. 42, pp. 99–104
W. Maddocks: Iron and Steel Inst. (Lond.), 1935, vol. 24, pp. 51–68.
P. Carter, A. Murad, and R. Hay: Philips Res. Rep., 1952–1953, vol. 60, pp. 123–31
H. Bell, J. Iron Steel Inst. 201, 116–121 (1963)
A. Muan and E. Osborn: Phase Equilibria Among Oxides in Steelmaking, Addison-Wesley Publishing Co., Inc., Reading, MA, 1965
A. Muan, S. Somiya, Am. Mineral. 46, 364–378 (1961)
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Kang, YB., Jung, IH. Critical Evaluations and Thermodynamic Optimizations of the MnO-Mn\(_{2}\)O\(_{3}\)-SiO\(_{2}\) and FeO-Fe\(_{2}\)O\(_{3}\)-MnO-Mn\(_{2}\)O\(_{3}\)-SiO\(_{2}\) Systems. Metall Mater Trans B 48, 1721–1735 (2017). https://doi.org/10.1007/s11663-017-0953-5
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DOI: https://doi.org/10.1007/s11663-017-0953-5