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Journal ArticleDOI

Density functional Gaussian‐type‐orbital approach to molecular geometries, vibrations, and reaction energies

Jan Andzelm, +1 more
- 15 Jan 1992 - 
- Vol. 96, Iss: 2, pp 1280-1303
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TLDR
In this article, the theory, computational implementation, and applications of a density functional Gaussian-type-orbital approach called DGauss were presented, which results in equilibrium geometries, vibrational frequencies, bond dissociation energies, and reaction energies that are in many cases significantly closer to experiment than those obtained with Hartree-Fock theory.
Abstract
We present the theory, computational implementation, and applications of a density functional Gaussian‐type‐orbital approach called DGauss. For a range of typical organic and small inorganic molecules, it is found that this approach results in equilibrium geometries, vibrational frequencies, bond dissociation energies, and reaction energies that are in many cases significantly closer to experiment than those obtained with Hartree–Fock theory. On the local spin density functional level, DGauss predicts equilibrium bond lengths within about 0.02 A or better compared with experiment, bond angles, and dihedral angles to within 1–2°, and vibrational frequencies within about 3%–5%. While Hartree–Fock optimized basis sets such as the 6‐31 G** set can be used in DGauss calculations to give good geometries, the accurate prediction of reaction energies requires the use of density functional optimized Gaussian‐type basis sets. Nonlocal corrections as proposed by Becke and Perdew for the exchange and correlation ener...

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Citations
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Journal ArticleDOI

Efficient molecular numerical integration schemes

TL;DR: In this article, a new mapping for radial integration of the Gauss-Chebyshev type was proposed, which seems to surpass in accuracy the existing integration schemes as proposed by Becke [J. Phys. Chem. Lett. 88, 2547 (1988), Murray et al. [Mol. Phys., Lett., this article ] or Gill et al [Chem. Phys.
Journal ArticleDOI

The performance of a family of density functional methods

TL;DR: The results of a systematic study of molecular properties by density functional theory (DFT) are presented and discussed in this article, where equilibrium geometries, dipole moments, harmonic vibrational frequencies, and atomization energies were calculated for a set of 32 small neutral molecules by six different local and gradient-corrected DFT methods, and also by the ab initio methods Hartree-Fock, second order Mo/ller-Plesset, and quadratic configuration interaction with single and double substitutions (QCISD).
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Geometric and Electronic Structure/Function Correlations in Non-Heme Iron Enzymes

TL;DR: A detailed molecular mechanism has been proposed for IPNS based on spectroscopic and crystallographic studies and the role of cosubstrate ascorbate is proposed to reduce the toxic peroxo byproduct to water.
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Density-functional thermochemistry. II: The effect of the Perdew-Wang generalized-gradient correlation correction

TL;DR: In this article, the role of gradient corrections for dynamical correlation was investigated and it was shown that gradient corrections do not improve atomization energies, but are vitally important in electron nonconserving processes such as ionization.
Journal ArticleDOI

Fast evaluation of density functional exchange-correlation terms using the expansion of the electron density in auxiliary basis sets

TL;DR: In this article, the authors investigated the possibility of fast and sufficiently accurate evaluation of Coulomb and exchange correlation terms using the expansion of molecular electronic density in atom-centered auxiliary basis sets, which is shown to be about an order of magnitude faster than usual approaches in which only Coulomb terms are treated using the approximated density.
References
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Journal ArticleDOI

Self-Consistent Equations Including Exchange and Correlation Effects

TL;DR: In this paper, the Hartree and Hartree-Fock equations are applied to a uniform electron gas, where the exchange and correlation portions of the chemical potential of the gas are used as additional effective potentials.
Journal ArticleDOI

Density-functional exchange-energy approximation with correct asymptotic behavior.

TL;DR: This work reports a gradient-corrected exchange-energy functional, containing only one parameter, that fits the exact Hartree-Fock exchange energies of a wide variety of atomic systems with remarkable accuracy, surpassing the performance of previous functionals containing two parameters or more.
Journal ArticleDOI

Inhomogeneous Electron Gas

TL;DR: In this article, the ground state of an interacting electron gas in an external potential was investigated and it was proved that there exists a universal functional of the density, called F[n(mathrm{r})], independent of the potential of the electron gas.
Journal ArticleDOI

Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis

TL;DR: The authors assess various approximate forms for the correlation energy per particle of the spin-polarized homogeneous electron gas that have frequently been used in applications of the local spin density a...
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