Abstract
The thermodynamic and phase diagram data of the Li2O-Al2O3 and Li2O-MgO-Al2O3 systems were critically evaluated and optimized to obtain a set of consistent Gibbs energy functions for all phases in the systems. The LiAl5O8-MgAl2O4 spinel solid solution was modeled with the two-sublattice compound energy formalism by considering the cation distribution between the tetrahedral and octahedral sites and excess vacancy in octahedral sites. The liquid phase and monoxide solid solution were also described using the modified quasichemical model with pair approximation and the Bragg–Williams random mixing model, respectively. The thermodynamic models with optimized model parameters enable the reproduction of all reliable thermodynamic and phase diagram as well as spinel structural data in the system.
Similar content being viewed by others
References
W. Jiang, J. Zhang, L. Kovarik, Z. Zhu, L. Price, J. Gigax, E. Castanon, X. Wang, L. Shao and D.J. Senor, J. Nucl. Mater., 2017, vol. 484, pp. 374-81.
D. Guggi, H.R. Ihle and A. Neubert, Symposium on Fusion Technology, Pergamon Press, Garmisch-Partenkirchen, Germany, 1976, pp. 635-44.
M. Nishikawa, A. Baba and Y. Kawamura, J. Nucl. Mater., 1997, vol. 246, pp. 1-8.
F. Rosciano, P.P. Pescarmona, K. Houthoofd, A. Persoons, P. Bottke and M. Wilkening, Phys. Chem. Chem. Phys., 2013, vol. 15, pp. 6107-12.
Z.-K. Fang, Y.-R. Zhu, T.-F. Yi and Y. Xie, ACS Sustain. Chem. Eng., 2016, vol. 4, pp. 1994-2003.
B. Put, P.M. Vereecken, M.J. Mees, F. Rosciano, L.P. Radu and A. Stesmans, Phys. Chem. Chem. Phys., 2015, vol. 17, pp. 29045-56.
R. Djenadic, M. Botros and H. Hahn, Solid State Ionics, 2016, vol. 287, pp. 71-76.
C.V. Chandran and P. Heitjans, Solid-State NMR Studies of Lithium Ion Dynamics Across Materials Classes, in: Annual Reports on NMR Spectroscopy, Academic Press.
M. Raja, G. Sanjeev, T.P. Kumar and A.M. Stephan, Ceram. Int., 2015, vol. 41, pp. 3045-50.
J.S. Park, X. Meng, J.W. Elam, S. Hao, C. Wolverton, C. Kim and J. Cabana, Chem. Mater., 2014, vol. 26, pp. 3128-34.
K. Zaghib, A. Mauger, H. Groult, J. Goodenough and C. Julien, Materials, 2013, vol. 6, pp. 1028-49.
C. Guan and J. Wang, Adv. Sci., 2016, vol. 3, pp. 1500405-23.
S.J. Heo, B. Hu, M.A. Uddin, A. Aphale, A. Hilmi, C.-Y. Yuh, A. Surendranath and P. Singh, J. Electrochem. Soc., 2017, vol. 164, pp. H5086-92.
[14] K. Takizawa and A. Hagiwara, J. Power Sources, 2002, vol. 109, pp. 127-35.
[15] S. Terada, I. Nagashima, K. Higaki and Y. Ito, J. Power Sources, 1998, vol. 75, pp. 223-29.
[16] L. Suski and M. Tarniowy, J. Mater. Sci., 2001, vol. 36, pp. 5119-24.
[17] E. Antolini, Ceram. Int., 2013, vol. 39, pp. 3463-78.
[18] C. Yang, G. Wen and P. Tang, Steel Res. Int., 2016, vol. 87, pp. 880-89.
[19] T. Wu, Q. Wang, S. He, J. Xu, X. Long and Y. Lu, Steel Res. Int., 2012, vol. 83, pp. 1194-1202.
[20] J.-W. Cho, K. Blazek, M. Frazee, H. Yin, J.H. Park and S.-W. Moon, ISIJ Int., 2013, vol. 53, pp. 62-70.
[21] B. Lu, K. Chen, W. Wang and B. Jiang, Metall. Mater. Trans. B, 2014, vol. 45B, pp. 1496-1509.
[22] X.J. Fu, G.H. Wen, P. Tang, Q. Liu and Z.Y. Zhou, Ironmak. Steelmak., 2014, vol. 41, pp. 342-41.
[23] T. Ávalos-Rendón, J. Casa-Madrid and H. Pfeiffer, J. Phys. Chem. A, 2009, vol. 113, pp. 6919-23.
[24] T. Ávalos-Rendón, V.H. Lara and H. Pfeiffer, Ind. Eng. Chem. Res., 2012, vol. 51, pp. 2622-30.
[25] N.S. Kulkarni, T.M. Besmann and K.E. Spear, J. Am. Ceram. Soc., 2008, vol. 91, pp. 4074-83.
[26] Q. Guan, X. Chen, T. Gao, C. Xiao, L. Zhao, J. He and X. Long, J. Nucl. Mater., 2015, vol. 465, pp. 170-76.
[27] S.Q. Wu, Z.F. Hou and Z.Z. Zhu, Comput. Mater. Sci., 2009, vol. 46, pp. 221-24.
[28] E.S. Blaakmeer, F. Rosciano and E.R.H. van Eck, J. Phys. Chem. C, 2015, vol. 119, pp. 7565-77.
[29] M.J. Mees, G. Pourtois, F. Rosciano, B. Put, P.M. Vereecken and A. Stesmans, Phys. Chem. Chem. Phys., 2014, vol. 16, pp. 5399-5406.
[30] S.C. Jung and Y.-K. Han, J. Phys. Chem. Lett., 2013, vol. 4, pp. 2681-85.
[31] H.J. Byker, I. Eliezer, N. Eliezer and R.A. Howald, J. Phys. Chem., 1979, vol. 83, pp. 2349-55.
[32] L.P. Cook and E.R. Plante, Ceram. Trans., 1992, vol. 27, pp. 193-222.
[33] C.W. Bale, E. Bélisle, P. Chartrand, S.A. Decterov, G. Eriksson, A.E. Gheribi, K. Hack, I.H. Jung, Y.B. Kang, J. Melançon, A.D. Pelton, S. Petersen, C. Robelin, J. Sangster, P. Spencer and M.A. Van Ende, CALPHAD, 2016, vol. 54, pp. 35-53.
[34] B. Konar, M.A. Van-Ende and I.H. Jung, J. Eur. Ceram. Soc., 2017, vol. 37, pp. 2189-2207.
[35] C.W. Bale, P. Chartrand, S.A. Degterov, G. Eriksson, K. Hack, R. Ben Mahfoud, J. Melançon, A.D. Pelton and S. Petersen, CALPHAD, 2002, vol. 26, pp. 189-228.
[36] A.D. Pelton and P. Chartrand, Metall. Mater. Trans. A, 2001, vol. 32A, pp. 1355-60.
[37] A.D. Pelton, S.A. Degterov, G. Eriksson, C. Robelin and Y. Dessureault, Metall. Mater. Trans. B, 2000, vol. 31B, pp. 651-59.
B. Konar, D.G. Kim, and I.-H. Jung, J. Eur. Ceram. Soc., 2018, vol. 38, pp. 881-3904.
E. Jak, P. Hayes, A.D. Pelton and S.A. Decterov: Proc VIII Int’l Conf on Molten Slags, Fluxes and Salts, Thermodynamic modelling of the Al 2O3 -CaO-FeO-Fe 2O3 -PbO-SiO 2 -ZnO system with addition of K and Na with metallurgical applications, 2009, pp. 473-490.
D.G. Kim, B. Konar, and I.-H. Jung, Ceram. Int., 2018. https://doi.org/10.1016/j.ceramint.2018.06.099.
[41] W.B. Badger and F.A. Hummel, J. Am. Ceram. Soc., 1985, vol. 68, pp. C46-47.
[42] E. Ising, Z. Phys., 1925, vol. 31, pp. 253-58.
[43] B. Konar, D.-G. Kim and I.-H. Jung, Ceram. Int., 2017, vol. 43, pp. 13055-62.
[44] I.-H. Jung, S.A. Decterov and A.D. Pelton, J. Phase Equilib. Diffus., 2004, vol. 25, pp. 329-45.
[45] A.D. Pelton, CALPHAD, 2001, vol. 25, pp. 319-28.
[46] T.R.N. Kutty and M. Nayak, J. Alloys Compd., 1998, vol. 269, pp. 75-87.
[47] M. Hillert, B. Jansson and B. Sundman, Z. Metallkd., 1988, vol. 79, pp. 81-87.
[48] S.A. Degterov, A.D. Pelton, E. Jak and P.C. Hayes, Metall. Mater. Trans. B, 2001, vol. 32B, pp. 643-57.
[49] I.-H. Jung, Solid State Ionics, 2006, vol. 177, pp. 765-77.
[50] I.-H. Jung, S. Decterov and A.D. Pelton, J. Am. Ceram. Soc., 2005, vol. 88, pp. 1921-28.
[51] I.-H. Jung, S.A. Decterov and A.D. Pelton, J. Phys. Chem. Solids, 2004, vol. 65, pp. 1683-95.
[52] S. Chatterjee and I.-H. Jung, J. Eur. Ceram. Soc., 2014, vol. 34, pp. 1611-21.
[53] P. Wu, G. Eriksson and A.D. Pelton, J. Am. Ceram. Soc., 1993, vol. 76, pp. 2065-75.
[54] F.Y. Galakhov, Izv. Akad. Nauk SSSR, Ser. Khim., 1959, vol. 4, pp. 575-81.
[55] D.W. Strickler and R. Roy, J. Am. Ceram. Soc., 1961, vol. 44, pp. 225-30.
[56] R.K. Datta and R. Roy, J. Am. Ceram. Soc., 1963, vol. 46, pp. 388-90.
[57] Y. Ikeda, H. Ito, G. Matsumoto and H. Hayashi, J. Nucl. Mater., 1981, vol. 97, pp. 47-58.
G.K. Duncan, Phase diagram studies of the beta-aluminas, in: Department of Chemistry, University of Aberdeen, Aberdeen, 1985.
[59] E.N. Rao and J. Ghose, Mater. Res. Bull., 1986, vol. 21, pp. 55-60.
[60] A.M. Lejus and R. Collongues, Compt. Rend., 1962, vol. 254, pp. 2005-07.
[61] I. Levin and D. Brandon, J. Am. Ceram. Soc., 1998, vol. 81, pp. 1995-2012.
[62] G. Lambotte and P. Chartrand, J. Chem. Thermodyn., 2013, vol. 57 pp. 306-34.
[63] F. Stewner and R. Hoppe, Z. Anorg. Allg. Chem., 1971, vol. 380, pp. 241-43.
[64] O.L. Andreev, G.V. Zelyutin, Z.S. Martem’yanova and N.N. Batalov, Inorg. Mater., 2001, vol. 37, pp. 177-79.
[65] M. Marezio and J.P. Remeika, J. Chem. Phys., 1966, vol. 44, pp. 3143-44.
[66] M.W. Chase: NIST-JANAF Thermochemical Tables, American Institute of Physics for the National Institute of Standards and Technology, Washington, DC, Woodbury, 1998
[67] P. Tarte, Compt. Rend., 1962, vol. 254, pp. 2008-10.
[68] G.K. Duncan and A.R. West, Solid State Ionics, 1983, vol. 9-10, pp. 259-64.
[69] C. Kroger and E. Fingas, Z. Anorg. Allg. Chem., 1935, vol. 224, pp. 289-304.
T.F. Fedorov and F.I. Shamrai, Primenenie Vakuuma v Met., Akad. Nauk S.S.S.R., Inst. Met. im. A. A. Baikova, 1960, pp. 137-42.
[71] A. La Ginestra, M. Lo Jacono and P. Porta: J. Therm. Anal., 1972, vol. 4, pp. 5-17.
[72] S.K. Rakshit, Y.P. Naik, S.C. Parida, S. Dash, Z. Singh, B.K. Sen and V. Venugopal, J. Solid State Chem., 2008, vol. 181, pp. 1402-12.
[73] E.G. King, J. Am. Chem. Soc., 1955, vol. 77, pp. 3189-90.
G.W. Hollenberg and D.E. Baker, HEDL-SA-2674-FP, 84th Annual Meeting of American Ceramic Society, Cincinnati, 1982.
[75] A.U. Christensen, K.C. Conway and K.K. Kelley, Bur. Mines Rep. Invest., 1960, vol. 5565, pp. 7.
[76] M. Asou, T. Terai and Y. Takahashi, J. Nucl. Mater., 1990, vol. 175, pp. 42-46.
[77] H. Kleykamp, J. Nucl. Mater., 1999, vol. 270, pp. 372-75.
I. Barin, La-Lu2O3, in: Thermochemical data of pure substances, Wiley-VCH Verlag GmbH, 2008, pp. 925–92.
[79] S.-G. Ma, Y.-H. Shen, T. Gao and P.-H. Chen, Int. J. Hydrogen Energy, 2015, vol. 40, pp. 3762-70.
D.L. Hildenbrand, L.P. Thread, W.F. Hall, F. Ju, F.S. La Viola and N.D. Potter, An experimental program for obtaining the thermodynamic properties of propellant combustion products, in: U-2055, Ford Motor Company, 1963.
[81] E.R. Plante and L.P. Cook, Adv. Ceram., 1990, vol. 27, pp. 129-45.
[82] A.F. Venero and E.F. Westrum Jr., J. Chem. Thermodyn., 1975, vol. 7, pp. 693-702.
N.D. Potter, M.H. Boyer, F. Ju, D.L. Hildenbrand and E. Murad, Thermodynamic properties of propellant combustion products, in, Philco-Ford Corp., 1970, pp. 160.
[84] D.-G. Kim, M.-A. Van Ende, P. Hudon and I.-H. Jung, J. Non-Cryst. Solids, 2017, vol. 471, pp. 51-64.
[85] E. Kordes and E. Rottig, Z. Anorg. Allg. Chem., 1951, vol. 264, pp. 34-47.
E. Kordes, Z. Kristallogr., Kristallgeom., Kristallphys., Kristallchem., 1935, vol. 91, pp. 193-228.
[87] E.J.W. Verwey and E.L. Heilmann, J. Chem. Phys., 1947, vol. 15, pp. 174-80.
[88] P.B. Braun, Nature, 1952, vol. 170, pp. 1123.
[89] R. Famery, F. Queyroux, J.-C. Gilles and P. Herpin, J. Solid State Chem., 1979, vol. 30, pp. 257-63.
[90] L. Debray and A. Hardy, Compt. Rend., 1960, vol. 251, pp. 725-26.
N.T. Melamed, F.D.S. Barros, P.J. Viccaro and J.O. Artman, Phys. Rev. B, 1972, vol. 5, pp. 3377-87
[92] R.C. Doman and R.N. McNally, J. Mater. Sci., 1973, vol. 8, pp. 189-91.
[93] L.T. Menzheres, N.P. Kotsupalo and A.S. Berger, Z. Neorg. Khim., 1978, vol. 23, pp. 2804-09.
[94] G. Izquierdo and A.R. West, J. Am. Ceram. Soc., 1980, vol. 63, pp. 227.
S. Hafner and F. Laves, Ordnung / Unordnung und Ultrarotabsorption III. Die Systeme MgAl2O4–Al2O3 und MgAl2O4–LiAl5O8, Z. Kristallogr.- Crys. Mat., vol. 115, 1961, pp. 321-30.
[96] R.K. Datta and R. Roy, Amer. Mineral., 1968, vol. 53, pp. 1456-75.
[97] Y. Mordekovitz and S. Hayun, J. Am. Ceram. Soc., 2016, vol. 99, pp. 2786-94.
[98] M. Marezio, Acta Crystallogr., 1965, vol. 19, pp. 396-400.
[99] A.T. Dinsdale, CALPHAD, 1991, vol. 15, pp. 317-425.
O. Kubaschewski, C.B. Alcock and P.J. Spencer: Materials Thermochemistry, Pergamon Press., 1993
Acknowledgments
Financial support from Tata Steel Europe, Posco, Hyundai Steel, Nucor Steel, RioTinto Iron and Titanium, Nippon Steel and Sumitomo Metals Corp., JFE Steel, Voestalpine Stahl, RHI, Schott AG, and the Natural Sciences and Engineering Research Council of Canada are gratefully acknowledged. One of the authors (B. Konar) would also like to thank the McGill Engineering Doctorate Award (MEDA) program of McGill University.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted July 31, 2017.
Rights and permissions
About this article
Cite this article
Konar, B., Van Ende, MA. & Jung, IH. Critical Evaluation and Thermodynamic Optimization of the Li2O-Al2O3 and Li2O-MgO-Al2O3 Systems. Metall Mater Trans B 49, 2917–2944 (2018). https://doi.org/10.1007/s11663-018-1349-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11663-018-1349-x