Sciact
  • EN
  • RU

Koopmans’ Theorem in the Restricted Open-Shell Hartree−Fock Method. 1. A Variational Approach Full article

Journal The Journal of Physical Chemistry A
ISSN: 1089-5639 , E-ISSN: 1520-5215
Output data Year: 2009, Volume: 113, Number: 45, Pages: 12386-12395 Pages count : 10 DOI: 10.1021/jp9002593
Tags Eigenvalues and eigenfunctionsIons; Molecular physics; Spin dynamics; Surface structure
Authors Plakhutin Boris N. 1 , Davidson Ernest R. 2
Affiliations
1 Laboratory of Quantum Chemistry, Boreskov Institute of Catalysis, Russian Academy of Sciences, prospekt Lavrentieva 5, Novosibirsk 630090, Russia
2 Department of Chemistry, University of Washington, Seattle, Washington 98195-1700

Funding (4)

1 Russian Foundation for Basic Research 06-03-32587
2 Russian Foundation for Basic Research 09-03-00113
3 Президиум РАН 2006/5.1.4
4 Президиум РАН 2009/5.1.9

Abstract: A general formulation of Koopmans’ theorem is derived for high-spin half-filled open shells in the restricted open-shell Hartree−Fock (ROHF) method based on a variational treatment of both the initial (nonionized) open-shell system under study, e.g., X, and the corresponding high-spin ions Xk+, Xm+, and Xv− having a hole or an extra electron in the closed, open, and virtual shell, respectively. The ions are treated within a FCI-RAS (full CI in the restricted active space) method with a use of arbitrary ROHF orbitals optimal for the initial system. We show that the desired canonical ROHF orbitals and orbital energies satisfying Koopmans’ theorem, first defined within the canonical ROHF treatment [Plakhutin; et al. J. Chem. Phys. 2006, 125, 204110], generally appear as the natural CI orbitals and the eigenvalues of CI matrices for the respective ions X±. A comparison is performed between the results derived with the present CI approach and the canonical ROHF method for the specific case where the canonical orbital energies satisfying Koopmans’ theorem do not satisfy the Aufbau principle.
Cite: Plakhutin B.N. , Davidson E.R.
Koopmans’ Theorem in the Restricted Open-Shell Hartree−Fock Method. 1. A Variational Approach
The Journal of Physical Chemistry A. 2009. V.113. N45. P.12386-12395. DOI: 10.1021/jp9002593 WOS Scopus РИНЦ OpenAlex ANCAN PMID
Dates:
Submitted: Jan 11, 2009
Accepted: Apr 12, 2009
Published online: May 12, 2009
Published print: Nov 12, 2009
Identifiers:
≡ Web of science: WOS:000271428100008
≡ Scopus: 2-s2.0-70449359755
≡ Elibrary: 15304717
≡ OpenAlex: W2012451761
≡ Chemical Abstracts: 2009:581545
≡ Chemical Abstracts (print): 151:457094
≡ PMID: 19459641
Citing:
≡ Web of science 45 Сбор данных от 20.02.2026
≡ Scopus 55 Сбор данных от 22.02.2026
≡ Elibrary 50 Сбор данных от 22.02.2026
≡ OpenAlex 56 Сбор данных от 22.02.2026
Altmetrics: