Abstract
An exchange energy functional for use in metals has been obtained that gives better densities than previous gradient corrections to the local density approximation. This was done by fitting atomic exchange energy densities to a function which is a product of the exchange energy density for a uniform system and a function of density and its gradient with the constraint that it have the proper limit for slowly varying densities. These improvements are at the expense of substantially larger energy errors (typically 1% of the exchange energy) but generally improved energy differences.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. Aashamar, T. M. Luke, and J. D. Talman, At. Data Nucl. Data Tables 22, 443 (1978)
Proceedings of Conference on Density Matrices and Density Functionals, Kingston, Canada, edited by R. M. Erdahl and V. H. Smith, Jr. Aug. 1985
A. D. Becke, J. Chem. Phys. 84, 4524 (1986)
J. S. R. Chisholm, Math. Comp, 27, 841 (1973)
E. Clementi and C. Roetti, At. Data Nucl. Data Tables 14, 177 (1974)
N. O. Folland, Phys. Rev. 3, A1535 (1971)
D. W. Geldart and M. Rasolt, Phys. Rev. 13, B1477 (1976)
D. W. Geldart, M. Rasolt, and C. O. Almbladh, Solid State Commun. 16, 243 (1975)
N. K. Hansen, J. R. Schneider, and F. K. Larsen, Phys. Rev. 29, B917 (1984)
F. Herman, J. P. Van Dyke, and L B. Ortenburger, Phys. Rev. Lett. 22, 807 (1969)
F. Herman, J. P. Van Dyke, and L B. Ortenburger, Int. J. Quant. Chem. 3S, 827 (1970)
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964)
W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965)
L. Kleinman, Phys. Rev. 10, B2221 (1974)
L. Kleinman, Phys. Rev 12, B3512 (1975)
L. Kleinman, Phys. Rev. 30, B2223 (1984)
D. C. Langreth and M. J. Mehl, Phys. Rev. 28, B1809 (1983)
D. C. Langreth and J. P. Perdew, Phys. Rev. 21 B5469 (1980)
S.-K. Ma and K. A. Brueckner, Phys. Rev. 165 18 (1968)
J. P. Perdew, Phys. Rev. Lett. 55, 1665 (1985); see also this volume
J. P. Perdew and Wang Yue, Phys. Rev. 33, B8800 (1986)
A. J. Pindor, S. H. Vosko, and C. J. Umrigar, J. Phys. 16, F1207 (1986)
A. K. Rajagopal and S. Ray, Phys. Rev. 12, B3129 (1975)
V. Sahni, J. Gruenebaum, and J. P. Perdew, Phys. Rev. 26, B4371 (1982)
L. J. Sham, in Computational Methods in Band Theory, edited by P. M. Marcus, J. F. Janak, and A. R. Williams, (Plenum, New York 1971), p. 458
J. D. Talman and W. F. Shadwick, Phys. Rev. 14, 36 (1976)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Plenum Press, New York
About this chapter
Cite this chapter
Vosko, S.H., Macdonald, L.D. (1987). Exchange-Only Energy Functionals from Atomic Exchange Energy Densities. In: Vashishta, P., Kalia, R.K., Bishop, R.F. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0917-8_12
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0917-8_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8244-0
Online ISBN: 978-1-4613-0917-8
eBook Packages: Springer Book Archive