Interatomic interactions in the effective-medium theory
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© 1987 American Physical Society (APS). This is the accepted version of the following article: Jacobsen, K. W. & Norskov, J. K. & Puska, Martti J. 1987. Interatomic interactions in the effective-medium theory. Physical Review B. Volume 35, Issue 14. 7423-7442. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.35.7423, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.35.7423.
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
1987
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Degree programme
Language
en
Pages
7423-7442
Series
Physical Review B, Volume 35, Issue 14
Abstract
An expression is derived for the total energy of a system of interacting atoms based on an ansatz for the total electron density of the system as a superposition of atom densities taken from calculations for the atoms embedded in a homogeneous electron gas. This leads to an expression for the interaction energy in terms of the embedding energy of the atoms in a homogeneous electron gas, and corrections accounting, for instance, for the d-d hybridization in the transition metals. The density of the homogeneous electron gas is chosen as the average of the density from the surrounding atoms. Due to the variational property of the total-energy functional, the errors in the interaction energy are second order in the deviation of the ansatz density from the true ground-state value. The applicability of the approach is illustrated by calculations of the cohesive properties of some simple metals and all the 3d transition metals. The interaction energy can be expressed in a form simple enough to allow calculations for low-symmetry systems and is very well suited for simulations of time-dependent and finite-temperature problems. Preliminary results for the phonon-dispersion relations and the surface energies and relaxations for Al are used to illustrate the versatility of the approach. The division of the total energy into a density-dependent part, an electrostatic ‘‘pair-potential’’ part, and a hybridization part provides a very simple way of understanding a number of these phenomena.Description
Keywords
effective-medium theory, density functional theory, interacting atoms
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Citation
Jacobsen, K. W. & Norskov, J. K. & Puska, Martti J. 1987. Interatomic interactions in the effective-medium theory. Physical Review B. Volume 35, Issue 14. 7423-7442. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.35.7423.