The lattice parameters and the local lattice distortions around solute atoms in fcc-Ni solutions were studied using first-principles calculations. The solute atoms considered include Al, Co, Cr, Hf, Mo, Nb, Re, Ru, Ta, Ti, and W. The calculations were performed using supercells with 1 solute atom and 107 solvent atoms. It is found that the atomic size difference, the electronic interactions, and the magnetic spin relations between the solute and solvent atoms all contribute to the lattice distortions. Based on the results from first-principles calculations, the linear composition coefficients of fcc Ni lattice parameter for different solutes were determined, and the lattice parameters of multicomponent Ni-base superalloys as a function of solute composition were predicted. The results are compared with existing experimental measurements, and good agreements are obtained for both the compositional dependence of lattice parameters and the local lattice distortions.
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T. Wang, J.Z. Zhu, R.A. Mackay, L.Q. Chen, Z.K. Liu: Metall. Mater. Trans. A, 2004, vol. 35A, pp. 2313–21
G. Kresse, J. Hafner: Phys. Rev. B, 1993, vol. 48, pp. 13115–13118
J.P. Perdew: in Electronic Structure of Solids, P. Ziesche and H. Eschrig, eds. Akademie Verlag, Berlin, 1991
R.O. Jones, O. Gunnarsson: Rev. Mod. Phys., 1989, vol. 61, p. 689–46
A. Lindbaum, J. Hafner, E. Gratz, S. Heathman: J. Phys.-Condens. Matter, 1998, vol. 10, pp. 2933–45
A. Lindbaum, J. Hafner, E. Gratz: J. Phys.-Condens. Matter, 1999, vol. 11, pp. 1177–87
N. Sandberg, B. Magyari-Kope, T.R. Mattsson: Phys. Rev. Lett., 2002, vol. 89, p. 65901
G. Kresse and J. Furthmuller: VASP the GUIDE, http://cms.mpi.univie.ac.at/vasp/vasp/vasp.html
C. Counterman: Periodic Table of the Elements, http://web.mit.edu/3.091/www/pt/pert1.html
U. Scheuer, B. Lengeler: Phys. Rev. B, 1991, vol. 44, pp. 9883–94
A. Taylor, R.W. Floyd: J. Inst. Met., 1951–52, vol. 80, pp. 577–87
W.B. Pearson, L.T. Thompson: Can. J. Phys., 1957, vol. 35, pp. 349–57
A.J. Bradley and A. Taylor: Proc. R. Soc., A159 (1937), pp. 56–72
A. Taylor, R.W. Floyd: J. Inst. Met., 1952–53, vol. 81, pp. 25–32
H.A. Moreen, R. Taggart, D.H. Polonis: Metall. Trans., 1971, vol. 2, pp. 265–68
J. Bottiger, N. Karpe, J.P. Krog, A.V. Ruban: J. Mater. Res., 1998, vol. 13, pp. 1717–23
A. Taylor: J. Inst. Met., 1950, vol. 77, pp. 585–94
M. Hnilicka, I. Karmazin: Scripta Metall., 1974, vol. 8, pp. 1029–32
J. Bandyopadhyay, K.P. Gupta: Cryogenics, 1977, vol. 17, pp. 345–47
B.M. Rovinshy, A.I. Samoilov, G.M. Rovensky: Fiz. Met. Metalloved., 1959, vol. 7, pp. 79–90
I.I. Kornilov, A.Y. Snetkov: Issled. Zharoproch. Splavam, Akad. Nauk SSSR, Inst., Met. Im. A.A. Baikova, 1961, vol. 7, pp. 106–11
L. Karmazin, M. Svoboda: Kovove Mater., 1979, vol. 17, pp. 355–62
Y. Mishima, S. Ochiai, T. Suzuki: Acta Metall., 1985, vol. 33, pp. 1161–69
W. Koster, W. Schmidt: Arch. Eisenhuttenwes., 1934, vol. 8, pp. 25–27
G. Grube, H. Schlecht: Z. Elektrochem., 1938, vol. 44, pp. 413–22
P.W. Guthrie and E.E. Stansbury: Report No. ORNL-3078, Oak Ridge National Laboratory, Oak Ridge, TN, 1961
R.E.W. Casselton, W. Hume-Rothery: J. Less-Common Met., 1964, vol. 7, pp. 212–21
A.S. Pavlovic, V.S. Babu, M.S. Seehra: J. Phys.-Condens. Matter, 1996, vol. 8, pp. 3139–49
G. Grube, O. Kubaschewski, K. Zwiauer: Z. Elektrochem., 1939, vol. 45, pp. 881–84
S. Arajs, H. Chessin, R.V. Colvin: Phys. Status Solidi, 1963, vol. 3, pp. 2337–46
I.J. Duerden, W. Hume-Rothery: J. Less-Common Met., 1966, vol. 11, pp. 381–87
L.N. Guseva, R.S. Mints, E.S. Malkov: Russ. Metall., 1969, vol. 5, pp. 120–22
D.S. Duvall, J.M.J. Donachie: J. Inst. Met., 1970, vol. 98, pp. 182–87
E.M. Savitskii, M.A. Tylkina, E.P. Arskaya: Izv. V.U.Z. Tsv. Metall., 1970, vol. 4, pp. 114–16
E. Raub, D. Menzel: Z. Metallkd., 1961, vol. 52, pp. 831–33
W.L. Phillips: Trans. TMS-AIME, 1964, vol. 230, pp. 526–29
I.I. Kornilov and K.P. Myasnikova: Izv. Akad. Nauk SSSR, Met. Govn. Delo, 1964, pp. 159–65
H. Chessin, S. Arajs, R.V. Colvin: J. Appl. Phys., 1964, vol. 35, pp. 2419–23
T.H. Hazlett, E.R. Parker: Trans. ASM, 1954, vol. 46, pp. 701–15
D. M. Poole, W. Hume-Rothery: J. Inst. Met., 1954–55, vol. 83, pp. 473–80
K. Hashimoto, T. Tsujimoto, K. Saito: Trans. Jpn. Inst. Met., 1981, vol. 22, pp. 798–806
G. Chattopadhyay, H. Kleykamp: Z. Metallkd., 1983, vol. 74, pp. 182–97
E. Epremian, D. Harker: Trans. AIME, 1949, vol. 185, pp. 267–73
J.F. Kenney, E.S. Keeping: Mathematics of Statistics, Pt. 1, 3rd ed., Princeton, New York, 1962
R. Watanabe, T. Kuno: Tetsu-to-Hagané, 1975, vol. 61, pp. 2274–94
H. Harada, M. Yamazaki: Tetsu-to-Hagané, 1979, vol. 65, pp. 1059–68
I.L. Svetlov, I.V. Oldakovskii, N.V. Petrushin, and I.A. Ignatova: Russ. Metall., 1991, pp. 139–45
D.F. Lahrman, R.D. Field, R. Darolia, H.L. Fraser: Acta Metall., 1988, vol. 36, pp. 1309–20
J. Li, R.P. Wahi: Acta Metall. Mater., 1995, vol. 43, pp. 507–17
R. Volkl, U. Glatzel, N. Feller-Kniepmeier: Scripta Mater., 1998, vol. 38, pp. 893–900
C. Schulze, M. Feller-Kniepmeier: Mater. Sci. Eng. A, 2000, vol. 281, pp. 204–12
D. Sieborger, H. Brehm, F. Wunderlich, D. Moller, U. Glatzel: Z. Metallkd., 2001, vol. 92, pp. 58–61
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The authors are grateful for the financial support from the NASA UEET program under Grant No. NCC3-920 and the National Science Foundation through Grant Nos. DMR-9983532, DMR-0122638, and DMR-0205232.
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Wang, T., Chen, LQ. & Liu, ZK. Lattice Parameters and Local Lattice Distortions in fcc-Ni Solutions. Metall Mater Trans A 38, 562–569 (2007). https://doi.org/10.1007/s11661-007-9091-z
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DOI: https://doi.org/10.1007/s11661-007-9091-z