Abstract
A scheme that reduces the calculations of ground-state properties of systems of interacting particles exactly to the solution of single-particle Hartree-type equations has obvious advantages. It is not surprising, then, that the density functional formalism, which provides a way of doing this, has received much attention in the past two decades. The quality of the energy surfaces calculated using a simple local-density approximation for exchange and correlation exceeds by far the original expectations. In this work, the authors survey the formalism and some of its applications (in particular to atoms and small molecules) and discuss the reasons for the successes and failures of the local-density approximation and some of its modifications.
Keywords
Affiliated Institutions
Related Publications
Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation
Generalized gradient approximations (GGA’s) seek to improve upon the accuracy of the local-spin-density (LSD) approximation in electronic-structure calculations. Perdew and Wang...
Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
The aim of this paper is to advocate the usefulness of the spin-density-functional (SDF) formalism. The generalization of the Hohenberg-Kohn-Sham scheme to and SDF formalism is ...
<i>Ab initio</i>molecular dynamics for liquid metals
We present ab initio quantum-mechanical molecular-dynamics calculations based on the calculation of the electronic ground state and of the Hellmann-Feynman forces in the local-d...
Exchange-correlation potential with correct asymptotic behavior
In this work we analyze the properties of the exchange-correlation potential in the Kohn-Sham form of density-functional theory, which leads to requirements for approximate pote...
An efficient numerical multicenter basis set for molecular orbital calculations: Application to FeCl4
The use of numerical solutions to atomlike single site potentials as a basis for molecular orbital calculations is investigated. The atomic Hamiltonian is modified by addition o...
Publication Info
- Year
- 1989
- Type
- article
- Volume
- 61
- Issue
- 3
- Pages
- 689-746
- Citations
- 3913
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1103/revmodphys.61.689