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Thermodynamic calculation of phase equilibria in the Bi–Mg–Zn ternary system

  • Chunju Niu and Changrong Li
Published/Copyright: June 3, 2019

Abstract

On the basis of the experimental phase equilibria of the Bi–Mg–Zn ternary system, the thermodynamic assessment of the Bi–Mg–Zn ternary system was carried out by means of the CALPHAD (CALculation of PHAse Diagram) technique. The Gibbs free energies of the solid solution phases (Rhombohedral_A7, Hcp_A3 and Hcp_Zn) were described by the substitutional solution model, and that of the liquid phase was described by the associate model with the constituent species Bi, Bi2Mg3, Mg and Zn. The non-stoichiometric compound, α-Bi2Mg3 as well as its high temperature allotrope β-Bi2Mg3 were described by the sublattice models, (Bi,Zn,Va)2(Mg,Zn)3 and (Bi,Zn)1(Bi,Zn,Va)3(Mg,Zn)6, respectively. In order to obtain a set of self-consistent thermodynamic data, the thermodynamic parameters of the phases, including liquid, α-Bi2Mg3 and β-Bi2Mg3, of the Bi–Mg–Zn ternary system were optimized while the thermodynamic data of other phases were adopted directly from the literature reports of the constituent binary systems. With this newly developed thermodynamic database, the CALPHAD results can well reproduce the experimental phase diagram information of the Bi–Mg–Zn ternary system. The solidification processes of a typical Bi–Mg–Zn alloy are calculated and analyzed using the phase equilibrium approach and the Gulliver–Scheil model in comparison with the experimental investigation.


Correspondence address: Chunju Niu, School of Mechanical and Electrical Engineering, University of Heze, Heze Shandong 274015, P.R. China, e-mail:
∗∗Correspondence address: Changrong Li, School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, P.R. China, e-mail:

References

[1] B.L.Mordike, T.Ebert: Metall. Mater. Sci. Eng. A302 (2001) 37. 10.1016/S0921-5093(00)01351-4Search in Google Scholar

[2] C.L.Mendis, K.U.Kainer, N.Hort: JOM.67 (2015) 2427. 10.1007/s11837-015-1561-ySearch in Google Scholar

[3] B.Langelier, G.Sha, A.Korinek, P.Donnadieu, S.P.Ringer, S.Esmaeili: Mater. Des.119 (2017) 290. 10.1016/j.matdes.2017.01.073Search in Google Scholar

[4] B.Langelier, A.Korinek, P.Donnadieu, S.Esmaeili: Mater. Charact.120 (2016) 18. 10.1016/j.matchar.2016.08.010Search in Google Scholar

[5] J.F.Nie: Scripta Mater.48 (2003) 1009. 10.1016/S1359-6462(02)00497-9Search in Google Scholar

[6] S.J.Meng, H.Yu, H.W.Cui, J.Zhang, W.M.Zhao, Z.F.Wang, C.L.Qin: Chin J Nonferrous Met.27 (2017) 894. 10.19476/j.ysxb.1004.0609.2017.05.003Search in Google Scholar

[7] T.T.Sasaki, T.Ohkubo, K.Hono: Scr. Mater.61 (2009) 72. 10.1016/j.scriptamat.2009.03.015Search in Google Scholar

[8] C.J.Niu, C.R.Li, Z.M.Du, C.P.Guo, Y.J.Jing: Acta Metall. Sin.25 (2012) 19. 10.11890/1006-7191-121-19Search in Google Scholar

[9] J.Vizdal, M.H.Braga, A.Kroupa, K.W.Richter, D.Soares, L.F.Malheiros, J.Ferreira: Calphad31 (2007) 438. 10.1016/j.calphad.2007.05.002Search in Google Scholar

[10] P.Liang, T.Tarfa, J.A.Robinson, S.Wagner, P.Ochin, M.G.Harmelin, H.L.Lukas, F.Aldinger: Thermochim. Acta314 (1998) 87. 10.1016/S0040-6031(97)00458-9Search in Google Scholar

[11] E.Scheil, B.Glauner: Z. Metallkd31 (1939) 80.Search in Google Scholar

[12] E.Scheil, B.Glauner: Z. Metallkd31 (1939) 76.Search in Google Scholar

[13] C.S.Oh, S.Y.Kang, D.N.Lee: Calphad16 (1992) 181. 10.1016/0364-5916(92)90006-JSearch in Google Scholar

[14] M.Paliwal, I.H.Jung: Calphad33 (2009) 744. 10.1016/j.calphad.2009.10.002Search in Google Scholar

[15] C.J.Niu, C.R.Li, Z.M.Du, C.P.Guo, S.C.Chen: Calphad39 (2012) 37. 10.1016/j.calphad.2012.08.003Search in Google Scholar

[16] D.V.Malakhov: Calphad24 (2000) 1. 10.1016/S0364-5916(00)00011-0Search in Google Scholar

[17] S.S.Kim, T.H.Sanders: Z. Metalld.94 (2003) 390. 10.3139/146.030390Search in Google Scholar

[18] R.Agarwal, S.G.Fries, H.L.Lukas, G.Petzow, F.Sommer, T.G.Chart, G.Effenberg: Z. Metalld.83 (1992) 216.Search in Google Scholar

[19] F.G.Meng, J.Wang, L.B.Liu, Z.P.Jin: J. Alloys Compd.508 (2010) 570. 10.1016/j.jallcom.2010.08.124Search in Google Scholar

[20] P.Liang, H.J.Seifert, H.L.Lukas, G.Ghosh, G.Effenberg, F.Aldinger: Calphad22 (1998) 527. 10.1016/S0364-5916(99)00009-7Search in Google Scholar

[21] M.Ohno, R.Schmid-Fetzer: Int. J. Mater. Res.97 (2006) 526. 10.3139/146.101268Search in Google Scholar

[22] M.Aljarrah, U.Aghaulor, M.Medraj: Intermetallics15 (2007) 93. 10.1016/j.intermet.2006.03.011Search in Google Scholar

[23] H.Y.Qi, G.X.Huang, R.D.Liu, K.Zhang, L.B.Liu, Z.P.Jin: J. Alloys Compd.497 (2010) 336. 10.1016/j.jallcom.2010.03.062Search in Google Scholar

[24] A.T.Dinsdale: Calphad15 (1991) 317. 10.1016/0364-5916(91)90030-NSearch in Google Scholar

[25] A.T.Dinsdale: (2002) SGTE Unary databse, Version 4.4, 2002.Search in Google Scholar

[26] F.Sommer: Z. Metalld73 (1982) 72.10.1515/ijmr-1982-730202Search in Google Scholar

[27] F.Sommer: Z. Metalld73 (1982) 77.10.1515/ijmr-1982-730203Search in Google Scholar

[28] R Schmid, YA Chang: Calphad9 (1985) 363. 10.1016/0364-5916(85)90004-5Search in Google Scholar

[29] B.Sundman, B.Jansson, J.O.Andersson: Calphad9 (1985) 153. 10.1016/0364-5916(85)90021-5Search in Google Scholar

[30] G.Mima, Y.Tanaka: Transactions of the Japan Institute of Metals12 (1971) 323. 10.2320/matertrans1960.12.323Search in Google Scholar

[31] J.Buha: Mater. Sci. Eng. A492 (2008) 11. DOI: doi.org/10.1016/j.msea.2008.02.038. 10.1016/j.msea.2008.02.038Search in Google Scholar

[32] J.S.Chun, J.G.Byrne: J. Mater. Sci.4 (1969) 861. 10.1007/BF00549777Search in Google Scholar

Received: 2018-10-18
Accepted: 2019-01-22
Published Online: 2019-06-03
Published in Print: 2019-06-12

© 2019, Carl Hanser Verlag, München

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