Configuration interaction study of the electronic structure of the OH radical by the atomic and molecular orbital methods

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Abstract

The role played in configuration interaction calculations by the particular form of the Orbitals selected as basis is explored by a direct application on the electronic structure of the ground state of the OH molecule. Two configuration interaction studies have been carried out using different sets of one-particle functions : (1) the set natural to the isolated atoms (called AO's) and (2) the Orbitals belonging to the molecule (MO's). In (1), using the Hartrec-Fock 1s, 2s, and 2p functions for atomic oxygen and the 1s state for hydrogen, and keeping the 1s oxygen state doubly occupied, all Slater determinants of the appropriate ground state symmetry (2π) were found. The dissociation energy and the expansion coefficients of the determinants were determined by a variational procedure which minimized the energy of the system. The nonorthogonality of the basic AO's was treated without approximation by the method of Löwdin. The necessary integrals were calculated on Whirlwind I, the M.I.T. high-speed digital computer; all two-center integrals were computed by expanding the hydrogen orbital about the oxygen center (analogously to the methods of Barnett and Coulson, Coolidge, Löwdin, etc.). In (2), the molecular orbitals (MO's) were found as linear combinations of the above AO's, with coefficients determined by a modified self-consistent field (Roothaan) procedure, in which the energy of a single Slater determinant was made stationary at three values of the internuclear separation. A configuration interaction calculation was then made using these "best" MO's as the basic set of one-particle functions. Also included are a calculation of the dipole moment and Mulliken's electron distribution analysis. The results of these studies are discussed and comparison is made to experiment and other theoretical calculations.

Original languageEnglish
Pages (from-to)230-243
Number of pages14
JournalJournal of Chemical Physics
Volume28
Issue number2
Publication statusPublished - 1958

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Molecular orbitals
configuration interaction
Electronic structure
molecular orbitals
determinants
electronic structure
orbitals
Oxygen
Ground state
Hydrogen
oxygen
digital computers
Molecules
ground state
Dipole moment
Crystal symmetry
Digital computers
hydrogen
coefficients
electron distribution

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Configuration interaction study of the electronic structure of the OH radical by the atomic and molecular orbital methods",
abstract = "The role played in configuration interaction calculations by the particular form of the Orbitals selected as basis is explored by a direct application on the electronic structure of the ground state of the OH molecule. Two configuration interaction studies have been carried out using different sets of one-particle functions : (1) the set natural to the isolated atoms (called AO's) and (2) the Orbitals belonging to the molecule (MO's). In (1), using the Hartrec-Fock 1s, 2s, and 2p functions for atomic oxygen and the 1s state for hydrogen, and keeping the 1s oxygen state doubly occupied, all Slater determinants of the appropriate ground state symmetry (2π) were found. The dissociation energy and the expansion coefficients of the determinants were determined by a variational procedure which minimized the energy of the system. The nonorthogonality of the basic AO's was treated without approximation by the method of L{\"o}wdin. The necessary integrals were calculated on Whirlwind I, the M.I.T. high-speed digital computer; all two-center integrals were computed by expanding the hydrogen orbital about the oxygen center (analogously to the methods of Barnett and Coulson, Coolidge, L{\"o}wdin, etc.). In (2), the molecular orbitals (MO's) were found as linear combinations of the above AO's, with coefficients determined by a modified self-consistent field (Roothaan) procedure, in which the energy of a single Slater determinant was made stationary at three values of the internuclear separation. A configuration interaction calculation was then made using these {"}best{"} MO's as the basic set of one-particle functions. Also included are a calculation of the dipole moment and Mulliken's electron distribution analysis. The results of these studies are discussed and comparison is made to experiment and other theoretical calculations.",
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