1998
DOI: 10.1002/(sici)1096-987x(199812)19:16<1887::aid-jcc9>3.0.co;2-h
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Self-consistent field calculations using two-body density functionals for correlation energy component: I. Atomic systems

Abstract: Self‐consistent field calculations are done using two‐body density functionals for the correlation energy. The corresponding functional derivatives are obtained and used in pseudo‐eigenvalue equations analogous to the Kohn–Sham ones. The examples studied include atomic systems from He to Ar. The values obtained for ionization potentials, electron affinities, dipole polarizabilities, and virial ratios from these calculations are given, and the effect of exchange is addressed. The results obtained are in good ag… Show more

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Cited by 6 publications
(3 citation statements)
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“…On the other hand, the application of standard Density Functional Theory (DFT) methods to these (poly)­radical systems is known to be affected by some pitfalls and/or artifacts: the intrinsic one-determinantal nature of Kohn–Sham (KS) DFT precludes dealing with orbital degeneracies, thus neglecting nondynamical or static correlation effects, and the use of a Broken-Symmetry (BS) solution for open-shell systems introduces spin-contamination (also scaling with size) issues mostly affecting the energy of the low-spin solution . This situation has historically prompted the development of nonstandard methods that are able to cope with these subtle electronic effects, namely, based on the two-body on-top pair density with a revisited interest nowadays, the balanced coupling of ab initio and density functional expressions, the use of natural orbitals, or the specific ensemble of pure spin states, to name just a few of the existing nonstandard methods. Another possible route is the use of fractional spin or orbital occupation, , mimicking the situation when multiconfigurational ab initio methods are instead employed, or spin-flip techniques, describing target states from a high-spin reference state.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, the application of standard Density Functional Theory (DFT) methods to these (poly)­radical systems is known to be affected by some pitfalls and/or artifacts: the intrinsic one-determinantal nature of Kohn–Sham (KS) DFT precludes dealing with orbital degeneracies, thus neglecting nondynamical or static correlation effects, and the use of a Broken-Symmetry (BS) solution for open-shell systems introduces spin-contamination (also scaling with size) issues mostly affecting the energy of the low-spin solution . This situation has historically prompted the development of nonstandard methods that are able to cope with these subtle electronic effects, namely, based on the two-body on-top pair density with a revisited interest nowadays, the balanced coupling of ab initio and density functional expressions, the use of natural orbitals, or the specific ensemble of pure spin states, to name just a few of the existing nonstandard methods. Another possible route is the use of fractional spin or orbital occupation, , mimicking the situation when multiconfigurational ab initio methods are instead employed, or spin-flip techniques, describing target states from a high-spin reference state.…”
Section: Introductionmentioning
confidence: 99%
“…Density functional theory (DFT), at the level of B3LYP/6-31G(d,p) with no symmetry limitations, was used to optimize the geometry of all the structures that led to energy minima. 32,33 The B3LYP exchange term is a combination of Hartree–Fock hybridization and local spin density (LSD) exchange functionals, along with Becke's gradient correlation to the LSD exchange. This combination of components allows for a more accurate description of the electron exchange energy than any single component alone.…”
Section: Resultsmentioning
confidence: 99%
“…In the following, we will denote ρ 2 (r) = ρ 2 (r 1 , r 2 )| r 1 =r 2 as the function at the twoelectron coalescence point, whose modelling has been extensively pursued in the past [24][25][26], as well as its integration into excited-state formalisms [27,28], as the next step for the description of electronic structure beyond the use of merely the electronic density ρ(r).…”
Section: Physical Meaning Of Reduced Density Matricesmentioning
confidence: 99%