𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exploring the limits of gradient corrections in density functional theory

✍ Scribed by Becke, Axel D.


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
146 KB
Volume
20
Category
Article
ISSN
0192-8651

No coin nor oath required. For personal study only.

✦ Synopsis


We have recently proposed a simple and systematic approach to the generation of exchange-correlation functionals in density-functional theory by linear least-squares fitting to accurate thermochemical reference data. In a series of four publications, new functionals with gradient corrections of first and also second order have been found in this way. In the present article we review and summarize our approach, highlighting the common threads and the most extensive fits from the heretofore published studies.


📜 SIMILAR VOLUMES


Limitations of density functional theory
✍ Bersuker, Isaac B. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB 👁 2 views

It is shown that the claims that density functional theory DFT can handle orbitally degenerate states are ungrounded. The constraint search formulation of DFT allows one to determine a set of densities and eigenvalues for the degenerate term that, however, are neither observables, nor can they be us

Investigation of Mössbauer parameters fo
✍ Leif A. Eriksson; Olga L. Malkina; Vladimir G. Malkin; Dennis R. Salahub 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 180 KB 👁 1 views

In the present work we show the first application of density functional Ž . theory DFT with gradient-corrected exchange-correction functionals within the linear Ž . combination of Gaussian-type orbitals LCGTO formalism to the calculation of isomer shifts and quadrupole couplings for a large and vari

The relative performance of the local de
✍ Mark R. Bray; Robert J. Deeth; Veronica J. Paget; Paul D. Sheen 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB 👁 1 views

Optimized metal᎐ligand M᎐L bond lengths for 17 classical Werner-type transition-metal Ž . complexes were calculated using the local density approximation LDA and a gradient-Ž . ## corrected GC extension. GCs lengthen the bonds by between 0.02 and 0.09 A relative to ˚the LDA results. The latter ran

Evaluation of density functional theory
✍ Goldstein, E.; Haught, M.; Tang, Y. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 257 KB 👁 1 views

Density functional methods at the 6-31G\* level are applied to the rupture of n-octane into methyl᎐heptyl, ethyl᎐hexyl, propyl᎐pentyl, and butyl᎐butyl radical fragments. The energetics of the radicals at UMP3, UMP2r6-Ž . 31G\*rrUHFr6-31G\* hereafter referred to as UMP , are compared to Ž . UB3LYPr6-

A theoretical study of rare-gas diatomic
✍ David C. Patton; Mark R. Pederson 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB 👁 2 views

Three popular approximations to density functional theory are used to calculate equilibrium bond lengths, atomization energies, and vibrational frequencies of 10 rare-gas diatomic molecules. We investigated the results for the local density Ž . approximation LDA , the Perdew᎐Wang 91 generalized-grad

Difficulties of density functional theor
✍ Pedro M. Viruela; Rafael Viruela; Enrique Orti 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB 👁 1 views

The internal rotation of 2,2Ј-bithiophene was investigated within the Ž . density functional theory DFT approach. Fully optimized DFT torsional potentials are Ž . compared with Møller᎐Plesset MP2 results which predict a fourfold potential with s-cis-and s-trans-gauche minima. DFT calculations fail i