Abstract
This paper presents a brief overview of recent developments in the application of first-principles calculations to the study of bulk and interfacial thermodynamic properties and phase equilibria in alloys. Among the applications discussed are calculations of: bulk thermodynamic properties, phase boundaries, interfacial free energies, and precipitate morphologies. The article concludes by highlighting some further recent developments that are likely to lead to increasing applications of these modeling techniques.
Similar content being viewed by others
References
F. Ducastelle, Order and Phase Stability in Alloys (New York: North-Holland, 1991).
A. Zunger, Statics and Dynamics of Alloy Phase Transformations, ed. P.E.A. Turchi and A. Gonis, Vol. 319 of NATO Advanced Study Institute, Series B: Physics (New York: Plenum, 1994).
D. de Fontaine, Solid State Physics, 47 (1994), p. 33.
D. de Fontaine, MRS Bulletin, 21 (1996), p. 16.
G.M. Stocks et al., Statics and Dynamics of Alloy Phase Transformations, edited by P.E.A. Turchi and A. Gonis, Vol. 319 of NATO Advanced Study Institute, Series B: Physics (New York: Plenum, 1994).
G. Ceder, Curr. Opin. Solid State Mater. Sci., 3 (1998), p. 533.
A. Gonis, P.E.A. Turchi, and J. Kudrnovsky, editors, Stability of Materials, Vol. 746 of NATO Advanced Study Institute, Series B: Physics (New York: Plenum, 1996).
D. Alfe et al., Int. J. Quantum Chem., 77 (2000), p. 871.
M.E. Drits et al., J. Soviet Non Ferrous Metal Res., 12 (1984), p. 83.
R.W. Hyland, Jr., Metall. Trans. A, 23 (1992), p. 1947.
H.-H. Jo and S.-I. Fujikawa, Mater. Sci. and Eng. A, 171 (1993), p. 151.
S.-I. Fujikawa and S. Sakauchi, Proc. of 6th Int. Conf. on Aluminum Alloys (ICAA-6) (Toyohashi: The Japanese Institute of Light Metals, 1998).
E.A. Marquis and D.N. Seidman, Acta Mater., 49 (2001), p. 1909.
G.M. Novotny and A.A. Ardell, Mater. Sci. Eng. A (in press).
J.L. Murray, J. Phase Equil., 19 (1998), p. 380.
G. Cacciamani et al., Intermetallics, 7 (1999), p. 101.
P. Hohenberg and W. Kohn, Phys. Rev. B, 136 (1986), p. B864; W. Kohn and L. J. Sham, Phys. Rev., 140 (1965), p. A1133.
M. Asta and V. Ozolins, Phys. Rev. B 64 (2001), p. 094104.
W.-G. Jung, O.J. Kleppa, and L. Topor, J. Alloys and Compounds, 176 (1991), p. 309.
S.V. Meschel and O.J. Kleppa, Metallic Alloys: Experimental and Theoretical Perspectives, ed. J.S. Faulkner and R.G. Jordan, Vol. 256 of NATO ASI Series E: Applied Sciences (New York: Plenum, 1994).
N. Saunders and A.P. Miodownik, CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide (Oxford, U.K.: Pergamon Press, 1998).
U.R. Kattner, JOM, 49 (12) (1997), pp. 14–19.
C. Wolverton, X.-Y. Yan, R. Vijayaraghavan, and V. Ozolins, Acta Mater. (in press); G. B. Olson and A. J. Freeman, private communication (2001).
M.E. Drits et al., Russ. Metall., 4 (1973), p. 152.
L.A. Wiley, unpublished research (1970), cited in Ref. 13.
S. Fujikawa et al., J. Less-Common Met., 63 (1979), p. 87.
C.J. Sparks et al., Mater. Res. Soc. Symp. Proc., 213 (1991), p. 363.
V. Ozolins and M. Asta, Phys. Rev. Lett., 86 (2001), p. 448.
V. Ozolins, C. Wolverton, and A. Zunger, Phys. Rev. B, 61 (1998), p. 5972.
A. van de Walle, G. Ceder, and U.V. Waghmare, Phys. Rev. Lett., 80 (1998), p. 4911.
A. van de Walle and G. Ceder, Phys. Rev. B, 61 (2000), p. 5972.
C. Wolverton and V. Ozolins, Phys. Rev. Lett., 86 (2001), p. 5518.
J.M. Sanchez, J.P. Stark, and V.L. Moruzzi, Phys. Rev. B, 44 (1991), p. 5411.
P.E.A. Turchi et al., Phys. Rev. Lett., 67 (1991), p. 1779.
P.D. Tepesch et al., J. Amer. Ceramic Soc., 79 (1996), p. 2033.
M. Asta, R. McCormack, and D. de Fontaine, Phys. Rev. B, 48 (1993), p. 748.
C. Colinet et al., J. Phys. Condens. Matter, 6 (1994), p. L47.
C. Colinet and A. Pasturel, J. Alloy Compd., 296 (2000), p. 6.
P.J. Craievich and J.M. Sanchez, Comput. Mater. Sci., 8 (1997), p. 92.
A. van de Walle and G. Ceder, to appear in Rev. Mod. Phys.
C. Zener, Thermodynamics in Physical Metallurgy, ed. C. Zener (Cleveland OH: ASM, 1950), pp. 16–27.
J.M. Sanchez, F. Ducastelle, and D. Gratias, Physica, 128A (1984), p. 334.
A. Zunger, MRS Bulletin, 22 (1997), p. 20.
G. Ceder et al., Model. and Simul. in Mater. Sci. and Eng., 8 (2000), p. 311.
P.E.A. Turchi, D. Mayou, and J.P. Julien, Phys. Rev. B, 56 (1997), p. 1726.
A. Gonis et al., Phys. Rev. B, 36 (1987), p. 4630.
S. de Gironcoli, P. Giannozzi, and S. Baroni, Phys. Rev. Lett., 66 (1991), p. 2116; N. Marzari, S. de Gironcoli, and S. Baroni, Phys. Rev. Lett., 72 (1994), p. 4001.
J.P. Julien, P.E.A. Turchi, and D. Mayou, Comp. Mater. Sci., 17 (2000), p. 217.
H. Dreyssé et a., Phys. Rev. B, 39 (1989), p. 2442.
D.B. Laks et al., Phys. Rev. B, 46 (1992), p. 12587.
C. Wolverton and A. Zunger, Phys. Rev. Lett., 75 (1995), p. 3162.
C. Wolverton, Philos. Mag. Lett., 79 (1999), p. 683.
C. Wolverton, Model. Simul. Mater. Sci. Eng., 8 (2000), p. 323.
S. Muller et al., Acta Mater., 48 (2000), p. 4007.
V. Ozolins, C. Wolverton, and A. Zunger, Phys. Rev. B, 57 (1998), p. 6427.
M. Asta and J.J. Hoyt, Acta Mater., 48 (2000), p. 1089.
M. Sluiter and Y. Kawazoe, Phys. Rev. B, 54 (1996), p. 10381.
V. Ozolins and M. Asta, unpublished.
P.W. Voorhees, unpublished calculations (private communication, 2000).
M. Asta, S.M. Foiles, and A.A. Quong, Phys. Rev. B, 57 (1998), p. 11265.
R.W. Hyland et al., Acta Mater., 46 (1998), p. 3667.
R.P. McCormack, D. de Fontaine, and J.J. Hoyt, J. Phase Equil., 18 (1997), p. 580; R. McCormack and D. de Fontaine, Phys. Rev. B, 54 (1996), p. 9746.
R. McCormack et al., Comput. Mater. Sci., 8 (1997), p. 39.
R. McCormack et al., Phys. Rev. B, 51 (1995), p. 15808.
J.D. Althoff, D.D. Johnson, and F.J. Pinski, Phys. Rev. Lett., 74 (1995), p. 138.
J.D. Althoff et al., Phys. Rev. B, 53 (1996), p. 10610.
S.I. Simak et al., Phys. Rev. Lett., 81 (1998), p. 188.
D.D. Johnson, M. Asta, and J.D. Althoff, Philos. Mag. Lett., 79 (1999), p. 551.
V. Jacob et al., J. Phys. IV (France) 6 (1996), C2, pp. 3–10.
V. Chaumat, C. Colinet, and F. Moret, J. Phase. Equil., 20 (1999), p. 389.
G. Rubin and A. Finel, J. Phys.-Condens. Matter, 5 (1993), p. 9105.
G. Rubin and A. Finel, J. Phys.-Condens. Matter, 7 (1995), p. 3139.
A.J.S. Traiber et al., J. Phys.-Condens. Matter, 8 (1996), p. 6357.
C. Woodward et al., Phys. Rev. B, 63 (2001), p. 094103.
L.S. Toropova et al., Advanced Aluminum Alloys Containing Scandium: Structure and Properties (Amsterdam, The Netherlands: Gordon and Breach Science Publishers, 1998).
L.Q. Chen et al., MRS Bulletin, 26 (2001), p. 197.
A. van der Ven et al., submitted to Phys. Rev. B.
A. van de Walle and G. Ceder, see www.mit.edu/∼avdw/maps.html.
Author information
Authors and Affiliations
Additional information
For additional information, contact M. Asta, Northwestern University, Department of Materials Science and Engineering, 2225 North Campus Drive, Evanston, Illinois 60208-3108; telephone (847) 491-5940; fax (847) 491-7820; e-mail m-asta@northwestern.edu.
Rights and permissions
About this article
Cite this article
Asta, M., Ozolins, V. & Woodward, C. A first-principles approach to modeling alloy phase equilibria. JOM 53, 16–19 (2001). https://doi.org/10.1007/s11837-001-0062-3
Issue Date:
DOI: https://doi.org/10.1007/s11837-001-0062-3