Abstract
A novel modification to the thermodynamic semi-empirical Miedema’s model has been made in order to provide more precise estimations of formation enthalpy in ternary alloys. The original Miedema’s model was modified for ternary systems based on surface concentration function revisions. The results predicted by the present model were found to be in excellent agreement with the available experimental data of over 150 ternary intermetallic compounds. The novel proposed model is capable of predicting formation enthalpies of ternary intermetallics with small discrepancies of ≤20 kJ/mol as well as providing reliable enthalpy variations.
Similar content being viewed by others
References
[1] A.R. Miedema, J. Less Common Met. 41 (1975) 283.
[2] A.R. Miedema, F.R. de Boer, R. Boom, Calphad 1 (1977) 341.
[3] A.R. Miedema, P.F. de Chatel, F.R. de Boer, Physica B 100 (1980) 1.
[4] A.R. Miedema, J. Less Common Met. 46 (1976) 67.
[5] A.R. Miedema and A.K. Niessen, Calphad 7 (1983) 27.
[6] A.R. Miedema, F.R. de Boer, R. Boom, Physica B 103 (1981) 67.
[7] S. Xi, K. Zuo, X. Li, G. Ran, J. Zhou, Acta Mater. 56 (2008) 6050.
[8] E. Sadeghi, F. Karimzadeh, M.H. Abbasi, J. Alloys Compd. 576 (2013) 317.
[9] J. Basu, B.S.S. Murty, S. Ranganathan, J. Alloys Compd. 465 (2008) 163.
[10] L.J. Gallego, J.A. Somoza, J.A. Alonso, J. Physics-Condensed Matter 2 (1990) 6245.
[11] A.P. Goncalves, M. Almeida, Physica B 228 (1996) 289.
[12] B. Zhang, W. A. Jesser, Physica B 315 (2002) 123.
[13] J.F. Herbst, J. Alloys Compd. 337 (2002) 99.
[14] T. Shindo, Y. Waseda, A. Inoue, Materials Transactions, 43 (2002) 2502.
[15] R. Hojvat de Tendler, M.R. Soriano, M.E. Pepe, J.A. Kovacs, E.E. Vicente, J.A. Alonso, Intermetallics 14 (2006) 297.
[16] L.C. Zhang, K.B. Kim, P. Yu, W.Y. Zhang, U. Kunz, J. Eckert, J. Alloys Compd. 428 (2007) 157.
[17] S. Bera, S. Mazumdar, M. Ramgopal, S. Bhattacharyya, I. Manna, J. Mat. Sci. 42 (2007) 3645.
[18] W.C. Wang, J.H. Li, H.F. Yan, B.X. Liu, Scr. Mater. 56 (2007) 975.
[19] P.K. Ray, M. Akinc, M.J. Kramer, J. Alloys Compd. 489 (2010) 357.
[20] N. Das, J. Mittra, B.S. Murty, S.K. Pabi, U.D. Kulkarni, G.K. Dey, J. Alloys Compd. 550 (2013) 483.
[21] S.P. Sun, D.Q. Yi, H.Q. Liu, B. Zang, Y. Jiang, J. Alloys Compd. 506 (2010) 377.
[22] A.W. Weeber, J. Phys. F: Met. Phys. 17 (1987) 809.
[23] T.L. Wang, B.X. Liu, J. Alloys Compd. 481 (2009) 156.
[24] K. Fitzner, O.J. Kleppa, Metall. Trans. A 24 (1993) 1827.
C. Shuwu, P. Ming, F. Min, Acta Phys. Chem. Sin. 7 (1991) 97.
[26] H. Wang, R. Lück, B. Predel, J. Phase Equilibria 14 (1993) 48.
[27] Y. Li, B. Legendre, J. Alloys Compd. 302 (2000) 187.
[28] Y. Du, J. Wang, Y.F. Ouyang, L.J. Zhang, Z.H. Yuan, S.H. Liu, P. Nash, J. Min. Metall. Sect. B-Metall. 46 (2010) 1.
[29] R. Hu, P. Nash, J. Mater. Sci. 41 (2006) 631.
[30] A.M. Garay-tapia, A.H. Romero, G. Trapaga, R. Arróyave, Intermetallics 21 (2012) 31.
Acknowledgment
Partial financial support by Center of Excellence for Surface Engineering and Corrosion Protection of Industries, University of Tehran, and Iran Nanotechnology Initiative Council is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Additional information
Mahbubeh Sadat Mousavi and Roozbeh Abbasi have contributed equally to this work.
Manuscript submitted August 6, 2015.
Rights and permissions
About this article
Cite this article
Mousavi, M.S., Abbasi, R. & Kashani-Bozorg, S.F. A Thermodynamic Approach to Predict Formation Enthalpies of Ternary Systems Based on Miedema’s Model. Metall Mater Trans A 47, 3761–3770 (2016). https://doi.org/10.1007/s11661-016-3533-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-016-3533-4