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  • Natural orbitals  (1)
  • Theoretical, Physical and Computational Chemistry  (1)
  • electron density  (1)
  • 1
    ISSN: 1432-2234
    Keywords: Reduced density matrices ; Natural orbitals ; Extended Koopmans' theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary The completeness of the natural orbitals with nonzero occupation numbers is examined for several model Hamiltonians and for the helium atom. It is demonstrated that whether the occupied natural orbitals form complete sets depends on the nature of the electron-electron interaction in the model Hamiltonian. Discrepancies in the extant proofs of the exactness and inexactness of the extended Koopmans' theorem are resolved.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 69 (1998), S. 541-550 
    ISSN: 0020-7608
    Keywords: density functional theory ; long-range behavior ; electron density ; Kohn-Sham ; orbital energy ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The total energy, internuclear distance, vertical ionization potential, and electron density function were determined for the hydrogen molecule (H2) with a configuration interaction calculation, a Hartree-Fock calculation, all 22 density functional theory (DFT) methods built into Gaussian 92/DFT, and the Davidson and Jones natural orbital expansion of the Kolos and Roothaan wave function. These data were used to explore the performance of DFT methods in modeling the chemical bond. We noted that although the vertical ionization potentials suggested by the highest occupied molecular orbital energies of DFT methods are generally quite poor, the medium-range bahavior of the electron density from DFT methods is close to that of more accurately determined electron densities. Accordingly, we propose a method of finding an approximate vertical ionization potential for a density functional calculation from the medium-range behavior of the electron density. We explain why the density functionals' electron densities decay in a manner different from that which their orbital energies lead us to expect and explore the relationship between the errors in the exchange-correlation potentials, electron densities, and the orbital energies.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 69: 541-550, 1998
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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