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The ANO-R Basis Set

Zobel, J. Patrick LU ; Widmark, Per Olof LU and Veryazov, Valera LU orcid (2020) In Journal of Chemical Theory and Computation 16(1). p.278-294
Abstract

In this work, the new ANO-R basis set for all elements of the first six periods is introduced. The ANO-R basis set is an all-electron basis set that was constructed including scalar-relativistic effects of the exact-two component (X2C) Hamiltonian and modeling the atomic nucleus by a Gaussian charge distribution, which makes the basis set suitable for calculations of both light and heavy elements. For high accuracy, it takes advantage of the general contraction scheme and was developed at the CASSCF/CASPT2 level of theory. The distinguishing feature of the ANO-R basis set is its compactness in terms of both primitive and contracted basis functions, thus containing no superfluous functions for a given quality. An optimum number of... (More)

In this work, the new ANO-R basis set for all elements of the first six periods is introduced. The ANO-R basis set is an all-electron basis set that was constructed including scalar-relativistic effects of the exact-two component (X2C) Hamiltonian and modeling the atomic nucleus by a Gaussian charge distribution, which makes the basis set suitable for calculations of both light and heavy elements. For high accuracy, it takes advantage of the general contraction scheme and was developed at the CASSCF/CASPT2 level of theory. The distinguishing feature of the ANO-R basis set is its compactness in terms of both primitive and contracted basis functions, thus containing no superfluous functions for a given quality. An optimum number of primitive basis functions was selected based on studying the convergence toward the complete basis set limit for each element individually. The primitive basis sets were then contracted using the density-averaged atomic-natural-orbital (ANO) scheme, and suitable contraction levels were determined solely based on the natural orbital occupation numbers that describe the contribution of each natural orbital to the one-particle density matrix. Rather than following the common "split-valence n-tuple zeta plus polarization functions" structure, the resulting basis sets ANO-R0 to ANO-R3 possess a unique composition for each element, ensuring that no unnecessary functions are included while the basis sets are still balanced across the first six periods (H-Rn).

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Chemical Theory and Computation
volume
16
issue
1
pages
17 pages
publisher
The American Chemical Society (ACS)
external identifiers
  • scopus:85076238751
  • pmid:31738554
ISSN
1549-9618
DOI
10.1021/acs.jctc.9b00873
language
English
LU publication?
yes
id
2a110453-2d20-417e-9d53-d319572284db
date added to LUP
2020-03-02 11:28:20
date last changed
2024-04-17 05:14:27
@article{2a110453-2d20-417e-9d53-d319572284db,
  abstract     = {{<p>In this work, the new ANO-R basis set for all elements of the first six periods is introduced. The ANO-R basis set is an all-electron basis set that was constructed including scalar-relativistic effects of the exact-two component (X2C) Hamiltonian and modeling the atomic nucleus by a Gaussian charge distribution, which makes the basis set suitable for calculations of both light and heavy elements. For high accuracy, it takes advantage of the general contraction scheme and was developed at the CASSCF/CASPT2 level of theory. The distinguishing feature of the ANO-R basis set is its compactness in terms of both primitive and contracted basis functions, thus containing no superfluous functions for a given quality. An optimum number of primitive basis functions was selected based on studying the convergence toward the complete basis set limit for each element individually. The primitive basis sets were then contracted using the density-averaged atomic-natural-orbital (ANO) scheme, and suitable contraction levels were determined solely based on the natural orbital occupation numbers that describe the contribution of each natural orbital to the one-particle density matrix. Rather than following the common "split-valence n-tuple zeta plus polarization functions" structure, the resulting basis sets ANO-R0 to ANO-R3 possess a unique composition for each element, ensuring that no unnecessary functions are included while the basis sets are still balanced across the first six periods (H-Rn).</p>}},
  author       = {{Zobel, J. Patrick and Widmark, Per Olof and Veryazov, Valera}},
  issn         = {{1549-9618}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{1}},
  pages        = {{278--294}},
  publisher    = {{The American Chemical Society (ACS)}},
  series       = {{Journal of Chemical Theory and Computation}},
  title        = {{The ANO-R Basis Set}},
  url          = {{http://dx.doi.org/10.1021/acs.jctc.9b00873}},
  doi          = {{10.1021/acs.jctc.9b00873}},
  volume       = {{16}},
  year         = {{2020}},
}