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 firs
Gradient corrections in the energy density functional
β Scribed by J.A. Alonso; L.A. Girifalco
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 185 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
It is shown, by calculations in He and Ne with HF densities, that the improvement obtained when gradient corrections are added to the iocal approximation to the kinetic enegg, arises from a detailed improvement in the kinetic energy density.
Approximate energy density functionals [l] have
π SIMILAR VOLUMES
Density functional techniques are used to investigate the relative energies of seven different structural isomers of Cz4. The traditional local density approximation yields the fullerene-like isomer to be the most stable. As in the case of Cs,,, the inclusion of gradient corrections has a dramatic e
Using a gradient-corrected version of the local density approximation to the energy density functional we calculate the structural properties of the water dimer. We find that without gradient corrections the local density approximation gives realistic results for the intramolecular properties, but f
The kinetic and the exchange energy functionals are expressed in the form T [ p ] = CTFj drp5/3(r)f.,(s) and K [ p ] = C,/drp4/3(r)fK(s), where C,, = (3/10)(3.rr2)2/3 and C , = -(3/4)(3/7~)'/~ are the Thomas-Fermi and the Dirac coefficients, respectively, and s = lVp(r)l/C, p4l3(r), with C, = 2 ( 3
Density functional techniques including gradient corrections are used to investigate the relative energies of the ring, bowl (corannulene-like), and cage ( fullerene-like) isomers of Cl,,. In agreement with previous studies, the local density approximation yields the cage to be the most stable isome
Gradient corrections to the local spin density (LSD) approximation for the exchangecorrelation energy are making density functional theory as useful in quantum chemistry as it is in solid-state physics. But which of the many gradient-corrected density functionals should be preferred a priori? We mak