Ab initio CPHF calculations of the static polarizability and second hyperpolarizability of small molecules

Comparisons between standard and moderately large basis sets augmented with diffuse functions

M. Dory, L. Beudels, J. G. Fripiat, J. Delhalle, J. M. André, Michel Dupuis

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Abstract

Static polarizability and second hyperpolarizability have been calculated for a number of small moleculesCO2, OCS, CS2, C2H2, C2H6, C3H8, cyclo‐C3H6, C3H4, C3H6, SiH4, Si2H6in the framework of the coupled‐perturbed Hartree‐Fock (CPHF) theory. The linear and nonlinear coefficients have been calculated with standard Gaussian basis sets and 3‐21G bases moderately enlarged with diffuse functions. It is shown that the parallel component of the polarizability saturates rapidly, which suggests that a 3‐21G basis containing s and p diffuse functions is sufficient to reproduce αzz. For the αxx and αyy components, a 3‐21G basis with s, p, and d diffuse functions is required. In general, the concordance between α computed with this basis set and the experimental static polarizability is at least of the order of 80%. On the contrary, the computation of the second hyperpolarizability with the same basis set for CO2, CS2, and C2H2 gives values that are 30% too low, compared to the experimental value. Better results are observed for ethane, propane, and cyclopropane for which the error is lower than 50%. The better agreement observed for the saturated compounds can probably be explained by their saturated character.

Original languageEnglish
Pages (from-to)1577-1594
Number of pages18
JournalInternational Journal of Quantum Chemistry
Volume42
Issue number5
DOIs
Publication statusPublished - 1992

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Molecules
molecules
Propane
cyclopropane
Ethane
propane
ethane
coefficients

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

Cite this

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title = "Ab initio CPHF calculations of the static polarizability and second hyperpolarizability of small molecules: Comparisons between standard and moderately large basis sets augmented with diffuse functions",
abstract = "Static polarizability and second hyperpolarizability have been calculated for a number of small moleculesCO2, OCS, CS2, C2H2, C2H6, C3H8, cyclo‐C3H6, C3H4, C3H6, SiH4, Si2H6in the framework of the coupled‐perturbed Hartree‐Fock (CPHF) theory. The linear and nonlinear coefficients have been calculated with standard Gaussian basis sets and 3‐21G bases moderately enlarged with diffuse functions. It is shown that the parallel component of the polarizability saturates rapidly, which suggests that a 3‐21G basis containing s and p diffuse functions is sufficient to reproduce αzz. For the αxx and αyy components, a 3‐21G basis with s, p, and d diffuse functions is required. In general, the concordance between α computed with this basis set and the experimental static polarizability is at least of the order of 80{\%}. On the contrary, the computation of the second hyperpolarizability with the same basis set for CO2, CS2, and C2H2 gives values that are 30{\%} too low, compared to the experimental value. Better results are observed for ethane, propane, and cyclopropane for which the error is lower than 50{\%}. The better agreement observed for the saturated compounds can probably be explained by their saturated character.",
author = "M. Dory and L. Beudels and Fripiat, {J. G.} and J. Delhalle and Andr{\'e}, {J. M.} and Michel Dupuis",
year = "1992",
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journal = "International Journal of Quantum Chemistry",
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T1 - Ab initio CPHF calculations of the static polarizability and second hyperpolarizability of small molecules

T2 - Comparisons between standard and moderately large basis sets augmented with diffuse functions

AU - Dory, M.

AU - Beudels, L.

AU - Fripiat, J. G.

AU - Delhalle, J.

AU - André, J. M.

AU - Dupuis, Michel

PY - 1992

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N2 - Static polarizability and second hyperpolarizability have been calculated for a number of small moleculesCO2, OCS, CS2, C2H2, C2H6, C3H8, cyclo‐C3H6, C3H4, C3H6, SiH4, Si2H6in the framework of the coupled‐perturbed Hartree‐Fock (CPHF) theory. The linear and nonlinear coefficients have been calculated with standard Gaussian basis sets and 3‐21G bases moderately enlarged with diffuse functions. It is shown that the parallel component of the polarizability saturates rapidly, which suggests that a 3‐21G basis containing s and p diffuse functions is sufficient to reproduce αzz. For the αxx and αyy components, a 3‐21G basis with s, p, and d diffuse functions is required. In general, the concordance between α computed with this basis set and the experimental static polarizability is at least of the order of 80%. On the contrary, the computation of the second hyperpolarizability with the same basis set for CO2, CS2, and C2H2 gives values that are 30% too low, compared to the experimental value. Better results are observed for ethane, propane, and cyclopropane for which the error is lower than 50%. The better agreement observed for the saturated compounds can probably be explained by their saturated character.

AB - Static polarizability and second hyperpolarizability have been calculated for a number of small moleculesCO2, OCS, CS2, C2H2, C2H6, C3H8, cyclo‐C3H6, C3H4, C3H6, SiH4, Si2H6in the framework of the coupled‐perturbed Hartree‐Fock (CPHF) theory. The linear and nonlinear coefficients have been calculated with standard Gaussian basis sets and 3‐21G bases moderately enlarged with diffuse functions. It is shown that the parallel component of the polarizability saturates rapidly, which suggests that a 3‐21G basis containing s and p diffuse functions is sufficient to reproduce αzz. For the αxx and αyy components, a 3‐21G basis with s, p, and d diffuse functions is required. In general, the concordance between α computed with this basis set and the experimental static polarizability is at least of the order of 80%. On the contrary, the computation of the second hyperpolarizability with the same basis set for CO2, CS2, and C2H2 gives values that are 30% too low, compared to the experimental value. Better results are observed for ethane, propane, and cyclopropane for which the error is lower than 50%. The better agreement observed for the saturated compounds can probably be explained by their saturated character.

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