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Journal ArticleDOI

The density functional formalism, its applications and prospects

Robert O. Jones, +1 more
- 01 Jul 1989 - 
- Vol. 61, Iss: 3, pp 689-746
TLDR
In this paper, the authors survey the local density functional formalism and some of its applications and discuss the reasons for the successes and failures of the local-density approximation and some modifications.
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.

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Citations
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Journal ArticleDOI

Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set

TL;DR: A detailed description and comparison of algorithms for performing ab-initio quantum-mechanical calculations using pseudopotentials and a plane-wave basis set is presented in this article. But this is not a comparison of our algorithm with the one presented in this paper.
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First-principles simulation: ideas, illustrations and the CASTEP code

TL;DR: The basics of the suject are looked at, a brief review of the theory is given, examining the strengths and weaknesses of its implementation, and some of the ways simulators approach problems are illustrated through a small case study.
Journal ArticleDOI

An all‐electron numerical method for solving the local density functional for polyatomic molecules

TL;DR: In this paper, a method for accurate and efficient local density functional calculations (LDF) on molecules is described and presented with results using fast convergent threedimensional numerical integrations to calculate the matrix elements occurring in the Ritz variation method.
Journal ArticleDOI

Origin of the Overpotential for Oxygen Reduction at a Fuel-Cell Cathode

TL;DR: In this paper, the stability of reaction intermediates of electrochemical processes on the basis of electronic structure calculations was analyzed and a detailed description of the free energy landscape of the electrochemical oxygen reduction reaction over Pt(111) as a function of applied bias was presented.
Journal ArticleDOI

Phonons and related crystal properties from density-functional perturbation theory

TL;DR: In this paper, the current status of lattice-dynamical calculations in crystals, using density-functional perturbation theory, with emphasis on the plane-wave pseudopotential method, is reviewed.
References
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Journal ArticleDOI

Structure of sulfur clusters using simulated annealing: S2 to S13

TL;DR: The ground state geometries of sulfur clusters S2 to S13 have been calculated using a parameter free density functional (DF) method, combined with molecular dynamics (MD) and simulated annealing techniques.
Journal ArticleDOI

Local‐density Hartree–Fock theory of electronic states of molecules with self‐interaction correction

TL;DR: In this article, a scheme for incorporating the selfinteraction correction (SIC) to the local density approximation of the Hartree-Fock theory of electronic structure of molecules is presented.
Journal ArticleDOI

A Spin Dependent Version of the Langreth-Mehl Exchange-Correlation Functional

TL;DR: In this article, the exchange-correlation functional of Langreth and Mehl was generalized to include spin dependence and applied to the calculation of ground-state and electron removal energies in atoms.
Journal ArticleDOI

Self-consistent electronic structure of Si, Ge and diamond by the LMTO-ASA method

TL;DR: In this paper, the authors investigated the accuracy of the self-consistent LMTO-ASA method with interstitial spheres for open structure materials by studying the electronic structure of Si, Ge and diamond.
Journal ArticleDOI

Density-functional theory of excitation spectra of semiconductors; application to Si

TL;DR: In this paper, a general approach to calculate the quasiparticle excitation energies of semiconductors, including the energy dependence of the self-energy with a local density-functional approach, is presented.
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