doi:10.1016/j.cplett.2005.07.090
Copyright © 2005 Elsevier B.V. All rights reserved.
Molecular results for the Hartree–Fock–Wigner model
Rebecca Fondermanna, Michael Hanratha,
,
, Michael Dolga and Darragh P. O’Neillb
aInstitute for Theoretical Chemistry, University of Cologne, Greinstraße 4, 50939 Cologne, Germany
bResearch School of Chemistry, Australian National University, ACT 0200 Canberra, Australia
Received 28 June 2005;
revised 22 July 2005.
Available online 18 August 2005.
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Abstract
Results of the Hartree–Fock–Wigner model for He2 and LiH using an atomic and a molecular parameterization of the correlation kernel are presented and interpreted in terms of Wigner intracules. The purely atomic parameterization turns out to be insufficient for molecules and is replaced by a fit along the potential curve on a per-molecule basis. It is argued that the remaining shortcomings partly result from the restriction of the currently used correlation function to be symmetric in relative position and momentum.
Fig. 1. Correlation energies along the potential curve ((a): He2, (b): LiH) (+: E(FCI), basis: cartesian Gaussians, counter-poise corrected, He2:cc-pV5Z, LiH:cc-pVTZ; ×: E(HFW) kernel
, basis: Gaussian Lobes, He:6–311++G, H:6–311++G**, Li:6–31++G**;
: E(HFW) per molecule fit, basis: Gaussian Lobes, He:6–311++G, H:6–311++G**, Li:6-31++G**).
Fig. 2. The correlation kernel GHF(u,v) of the form
. ((a): kernel (5) fitted to atoms, (b): kernel fitted to He2, (c): kernel fitted to LiH).
Fig. 3. Basis functions to span the exact correlation energy. ((a): He2, (b): LiH, for ζi see Table 1).
Fig. 4. Wigner intracules for Be, He2 and LiH (from (a–c), at equilibrium distance for the molecules).
Table 1.
Expansion coefficients optimized for a per-molecule fit for He2 and LiH
