2012
DOI: 10.1002/wcms.1123
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Atomic orbital basis sets

Abstract: Electronic structure methods for molecular systems rely heavily on using basis sets composed of Gaussian functions for representing the molecular orbitals. A number of hierarchical basis sets have been proposed over the last two decades, and they have enabled systematic approaches to assessing and controlling the errors due to incomplete basis sets. We outline some of the principles for constructing basis sets, and compare the compositions of eight families of basis sets that are available in several different… Show more

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Cited by 210 publications
(208 citation statements)
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“…Sci. 73 In principle, it is desirable to use an extremely large basis set that lies near the CBS limit. Unfortunately, the unfavorable scaling of computational demands with the number of virtual orbitals (vide supra) requires that truncated basis sets must be used in practice, which leads to basis set incompleteness error (BSIE).…”
Section: Atomic Orbital Basis Setsmentioning
confidence: 99%
“…Sci. 73 In principle, it is desirable to use an extremely large basis set that lies near the CBS limit. Unfortunately, the unfavorable scaling of computational demands with the number of virtual orbitals (vide supra) requires that truncated basis sets must be used in practice, which leads to basis set incompleteness error (BSIE).…”
Section: Atomic Orbital Basis Setsmentioning
confidence: 99%
“…[1][2][3] Simply addressing this problem by using the largest possible basis results in poor efficiency and is restrictive in terms of tractable system size; hence, families of basis sets that systematically approach the complete basis set (CBS) limit have been developed. This behavior can then be exploited by extrapolating results in, for example, the maximum angular momentum found in the basis (see Refs.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3] Since the introduction of the correlation consistent family of basis sets, 4 this error has been effectively addressed by any number of extrapolation strategies to an estimated complete basis set (CBS) for a given correlation method (see, e.g., Refs. 5-7).…”
Section: Introductionmentioning
confidence: 99%