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Modified Perturbation Theory for Atoms and Molecules Based on a Hartree–Fock φ (in ZZ)

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.1670363· OSTI ID:4479752
 [1];  [1]
  1. Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland
The improvement of Hartree–Fock wavefunctions by perturbation theory is hampered by slow convergence with the usual choice of H0 =  ∑ i = 1N F(i), where F denotes the one-electron Hartree–Fock Hamiltonian. The slow convergence is usually attributed to the unphysical nature of the excited states of F, which do not describe electrons moving in the field of the nuclei, shielded by N-1 electrons. It is shown how to redefine F so that the zeroth-order wavefunction still remains the Hartree–Fock wavefunction but so that the excited states of F correspond to an electron moving in the field of the nuclei screened by N-1 electrons. The redefined F thus results in a more appropriate H0. Calculations of some second-order polarization and semi-internal correlation energies in first-row atoms are given to illustrate the use of the redefined F.
Research Organization:
Originating Research Org. not identified
NSA Number:
NSA-22-050018
OSTI ID:
4479752
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 5 Vol. 49; ISSN 0021-9606
Country of Publication:
Country unknown/Code not available
Language:
ZZ

References (15)

Many-Body Perturbation Theory Applied to Open-Shell Atoms journal April 1966
Many‐Electron Theory of Nonclosed‐Shell Atoms and Molecules. I. Orbital Wavefunction and Perturbation Theory journal March 1966
New Developments in Molecular Orbital Theory journal April 1951
Many-Electron Theory of Atoms and Molecules. V. First-Row Atoms and Their Ions journal November 1964
Superposition of Configurations and Atomic Oscillator Strengths—Carbon i and ii journal October 1967
Analytical Self-Consistent Field Functions for Positive Ions. I. Isoelectronic Series with 2 to 10 Electrons journal February 1963
Self-Consistent Field Theory for Open Shells of Electronic Systems journal April 1960
Hartree—Fock Hamiltonians and Separable Nonlocal Potentials journal August 1964
Generalized Sternheimer Potential journal June 1966
Correlation Effects in Atoms journal July 1963
Many-Body Perturbation Theory Applied to Atoms journal November 1964
Correlation Energy for Atomic Systems journal May 1963
Self-Consistent-Field Theory. I. General Treatment journal May 1963
Calculation of Auto-Ionization Rates journal May 1966
Electronic Structure of Atomic Boron journal March 1968

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