1978
DOI: 10.1002/qua.560140503
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Electron correlation theories and their application to the study of simple reaction potential surfaces

Abstract: This paper serves two purposes. The first is to describe an implementation of the coupled cluster theory with double substitutions (CCD) previously developed by Cizek. The second is 10 apply this method and closely related fourth-order perturbation methods to some simple molecules and reaction potential surfaces. These studies show that CCD theory gives results close to those of a Mdler-Plesset perturbation treatment to fourth order in the space of double and quadruple substitutions MP4(DQ). Addition of contri… Show more

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Cited by 1,021 publications
(375 citation statements)
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“…For both the CCSD͑T͒ and CASPT2 calculations, the TZVP-G͑3df ,2p͒ basis set described above were used. CCSD͑T͒ is a coupled-cluster method, 42,43 which uses single and double excitations from the Hartree-Fock determinant, [44][45][46][47] and includes triple excitations noniteratively. 48 Finally, CASPT2 ͑Refs.…”
Section: Methodsmentioning
confidence: 99%
“…For both the CCSD͑T͒ and CASPT2 calculations, the TZVP-G͑3df ,2p͒ basis set described above were used. CCSD͑T͒ is a coupled-cluster method, 42,43 which uses single and double excitations from the Hartree-Fock determinant, [44][45][46][47] and includes triple excitations noniteratively. 48 Finally, CASPT2 ͑Refs.…”
Section: Methodsmentioning
confidence: 99%
“…The canonical MO ͑CMO͒ NICS values are also calculated for the low-lying isomers of Si and Ge using the NBO 5.0 program. 19 Last, to determine the lowest-energy structure among top candidate isomers of Si and Ge obtained from step 2, the single-point energy calculation using the coupled-cluster method with single, double, and perturbative triple excitations 20 ͓CCSD͑T͔͒ and with a larger and more diffusive 6-311+ G͑2d͒ basis set for Si and the same 6-31+ G͑d͒ basis set for Ge is performed, based on geometric structures optimized at the MP2 / 6-31+ G͑d͒ level of theory/basis set.…”
Section: Computational Detailsmentioning
confidence: 99%
“…The TTP motif is known as one of major structural motifs in low-energy silicon clusters of Si 10 -Si 20 . 22 Indeed, among the top ten low-lying isomers of Si 12 2− , six contain the TTP motif ͑highlighted in Table I͒.…”
Section: A Si 12 2−mentioning
confidence: 99%
“…A disadvantage of the MP method is that the computation converges slowly for heavy elements, and this can lead to inaccurate energies [124]. The problem of convergence is reduced with the coupled cluster (CC) methods [125,126]. The CC methods start with the HF method and construct multi-electron wave functions making use of the exponential cluster operator to account for CI.…”
Section: Quantum Mechanical Methodsmentioning
confidence: 99%