- A. V. Ruban and H. L. Skriver
- Center for Atomic-Scale Materials Physics and Department of Physics, Technical University of Denmark, DK-2800 Lyngby, Denmark
-
(Received 23 April 1998; revised 22 December 1998)
The vacancy formation energy and the vacancy formation volume of the 3d, 4d, and 5d transition and noble metals have been calculated within the local-density approximation. The calculations employ the order-N locally self-consistent Green's-function method in conjunction with a supercell approach and include electrostatic multipole corrections to the atomic sphere approximation. The results are in excellent agreement with available full-potential calculations and with the vacancy formation energies obtained in positron annihilation measurements. The variation of the vacancy formation energy through a transition-metal series and the effects of crystal and magnetic structure are investigated and discussed.
©1999 The American Physical Society
URL: http://link.aps.org/abstract/PRB/v59/p11693
PACS:
61.72.Ji, 61.72.Bb
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-
H.-E. Schaefer, Phys. Status Solidi A 102, 47 (1987). [INSPEC]
-
R. W. Siegel, in Proceedings of the 6th International Conference on Positron Annihilation, edited by P. G. Coleman, S. C. Sharma, and L. H. Diaena (North-Holland, Amsterdam, 1982), p. 351.
-
P. Ehrhart, P. Jung, H. Schultz, and H. Ullmaier, in Atomic Defects in Metals, edited by H. Ullmaier, Landolt-Börnstein, New Series, Group III, Vol. 25 (Springer-Verlag, Berlin, 1991).
-
M. J. Gillan, J. Phys.: Condens. Matter 1, 689 (1989). [INSPEC]
-
W. Frank, U. Breier, C. Elsässer, and M. Fähnle, Phys. Rev. B 48, 7676 (1993).
-
N. Chetty, M. Weinert, T. S. Rahman, and J. W. Davenport, Phys. Rev. B 52, 6313 (1995).
-
B. Drittler, M. Weinert, R. Zeller, and P. H. Dederichs, Solid State Commun. 79, 31 (1991). [INSPEC]
-
P. H. Dederichs, B. Drittler, and R. Zeller, in Application of Multiple Scattering Theory to Materials Science, edited by W. H. Butler et al., MRS Symposia Proceedings No. 253 (Materials Research Society, Pittsburgh, 1992), p. 185.
-
H. M. Polatoglou, M. Methfessel, and M. Scheffler, Phys. Rev. B 48, 1877 (1993).
-
T. Korhonen, M. J. Puska, and R. M. Nieminen, Phys. Rev. B 51, 9526 (1995).
-
U. Klemradt, B. Drittler, R. Zeller, and P. H. Dederichs, Phys. Rev. Lett. 64, 2803 (1990).
-
N. Stefanou, N. Papanikolaou, and P. H. Dederichs, J. Phys.: Condens. Matter 3, 8793 (1991). [INSPEC]
-
U. Klemradt, B. Drittler, T. Hoshino, R. Zeller, P. H. Dederichs, and N. Stefanou, Phys. Rev. B 43, 9487 (1991).
-
T. Hoshino, R. Zeller, P. H. Dederichs, and M. Wienert, Europhys. Lett. 24, 495 (1993). [INSPEC]
-
T. Hoshino, R. Zeller, and P. H. Dederichs, Phys. Rev. B 53, 8971 (1996).
-
M. Lannoo and G. Allan, J. Phys. Chem. Solids 32, 637 (1971). [INSPEC]
-
F. R. de Boer, R. Boom, W. C. M. Mattens, A. R. Miedema, and A. K. Niessen, in Cohesion in Metals: Transition Metal Alloys, edited by F. R. de Boer and D. G. Pettifor (North-Holland, Amsterdam, 1988), Vol. 1.
-
M. J. Mehl and D. A. Papaconstantopoulos, Phys. Rev. B 54, 4519 (1996).
-
T. Górecki, Z. Metallkd. 65, 426 (1974). [INSPEC]
-
P. R. Couchman, Phys. Lett. 54A, 309 (1975).
-
J. P. Perdew, Y. Wang, and E. Engel, Phys. Rev. Lett. 66, 508 (1991).
-
J. A. Alonso and N. H. March, Electrons in Metals and Alloys (Academic Press, London, 1989).
-
G. Grimvall and S. Sjödin, Phys. Scr. 10, 340 (1974). [INSPEC]
-
C. L. Reynolds, Jr. and P. R. Couchman, Phys. Lett. 50A, 157 (1974).
-
D. M. C. Nicholson, G. M. Stocks, Y. Wang, W. A. Shelton, Z. Szotek, and W. M. Temmerman, Phys. Rev. B 50, 14 686 (1994).
-
Y. Wang, G. M. Stocks, W. A. Shelton, D. M. C. Nicholson, Z. Szotek, and W. M. Temmerman, Phys. Rev. Lett. 75, 2867 (1995).
-
I. A. Abrikosov, A. M. N. Niklasson, S. I. Simak, B. Johansson, A. V. Ruban, and H. L. Skriver, Phys. Rev. Lett. 76, 4203 (1996).
-
I. A. Abrikosov, S. I. Simak, B. Johansson, A. V. Ruban, and H. L. Skriver, Phys. Rev. B 56, 9319 (1997).
-
T. Beuerle, R. Pawellek, C. Elsässer, and M. Fähnle, J. Phys.: Condens. Matter 3, 1957 (1991). [INSPEC]
-
P. Braun, M. Fähnle, M. van Schilfgaarde, and O. Jepsen, Phys. Rev. B 44, 845 (1991).
-
M. Sinder, D. Fuks, and J. Pelleg, Phys. Rev. B 50, 2775 (1994).
-
H. L. Skriver and N. M. Rosengaard, Phys. Rev. B 43, 9538 (1991).
-
A. V. Ruban, I. A. Abrikosov, D. Ya. Kats, D. Gorelikov, K. W. Jacobsen, and H. L. Skriver, Phys. Rev. B 49, 11 383 (1994).
-
I. A. Abrikosov, A. V. Ruban, H. L. Skriver, and B. Johansson, Phys. Rev. B 50, 2039 (1994).
-
Here we consider the vacancy formation energy at a fixed volume per site. The thermodynamically consistent definition requires that not only the total volume of the system V but also the number of atoms Na be kept fixed. Under these constraints, the partial vacancy formation pressure may be defined as p = (p/cv)V0 = B/0. This pressure is always positive, in contrast to p1V.
-
B. Meyer and M. Fähnle, Phys. Rev. B 56, 13 595 (1997).
-
O. K. Andersen, Phys. Rev. B 12, 3060 (1975). [INSPEC]
-
O. Gunnarsson, O. Jepsen, and O. K. Andersen, Phys. Rev. B 27, 7144 (1983).
-
H. L. Skriver, The LMTO Method (Springer-Verlag, Berlin, 1984).
-
O. K. Andersen and O. Jepsen, Phys. Rev. Lett. 53, 2571 (1984).
-
O. K. Andersen, O. Jepsen, and D. Glötzel, in Highlights of Condensed-Matter Theory, edited by F. Bassani, F. Fumi, and M. P. Tosi (North-Holland, New York, 1985).
-
O. K. Andersen, Z. Pawlowska, and O. Jepsen, Phys. Rev. B 34, 5253 (1986).
-
L. Vitos, J. Kollàr, and H. L. Skriver, Phys. Rev. B 55, 13 521 (1997).
-
E. Esposito, A. E. Carlsson, D. D. Ling, H. Ehrenreich, and C. D. Gelatt, Jr., Philos. Mag. A 41, 251 (1980). [INSPEC]
-
D. Glötzel and O. K. Andersen (unpublished).
-
A. K. McMahan, H. L. Skriver, and B. Johansson, Phys. Rev. B 23, 5016 (1981).
-
N. E. Christensen and S. Satpathy, Phys. Rev. Lett. 55, 600 (1985).
-
H. L. Skriver, Phys. Rev. B 31, 1909 (1985).
-
J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
-
D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980).
-
N. Papanikolaou, R. Zeller, P. H. Dederichs, and N. Stefanon, Phys. Rev. B 55, 4157 (1997).
-
L. de Schepper, D. Segers, L. Dorikens-Vanpraet, M. Dorikens, G. Knuyt, L. M. Stals, and P. Moser, Phys. Rev. B 27, 5257 (1983).
-
J. Friedel, in The Physics of Metals, edited by J. M. Ziman (Cambridge University Press, Cambridge, 1969), p. 494.
-
M. S. S. Brooks and B. Johansson, J. Phys. F 13, L197 (1983). [INSPEC]
-
A. V. Ruban, H. L. Skriver, and J. K. Nørskov, Phys. Rev. Lett. 80, 1240 (1998).
-
O. K. Andersen, J. Madsen, U. K. Poulsen, O. Jepsen, and J. Kollar, Physica B & C 86-88B, 249 (1977). [INSPEC]
-
M. Alden, H. L. Skriver, S. Mirbt, and B. Johansson, Phys. Rev. Lett. 69, 2296 (1992).
-
Y. Kraftmakher, Phys. Rep. 299, 79 (1998) (ScienceDirect). [INSPEC]
-
M. Asato, T. Hoshino, T. Asada, R. Zeller, and P. H. Dederichs, J. Magn. Magn. Mater. 177-181, 1403 (1998). [INSPEC]
-
A. Satta, F. Willaime, and S. de Gironcoli, Phys. Rev. B 57, 11 184 (1998).
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