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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 99 (1998), S. 231-240 
    ISSN: 1432-2234
    Keywords: Key words: Quantum Monte Carlo ; Relativistic pseudopotentials ; Static dipole polarizabilities ; van␣der␣Waals molecules ; Fixed-node approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. Pure diffusion quantum Monte Carlo calculations have been carried out for Be2 and the weakly bound group 12 dimers Zn2, Cd2 and Hg2. We have applied relativistic energy-consistent large-core pseudopotentials and corresponding core-polarization potentials for the group 12 atoms. The derived spectroscopic constants (Re,␣De, ωe for Zn2 and Cd2 (Zn2: 3.88 ± 0.05 , 0.024 ± 0.007 eV, 25±2 cm−1; Cd2: 4.05 ± 0.03 , 0.031 ± 0.005 eV, 21±1 cm−1) are in good agreement with corresponding coupled-cluster results (Zn2: 4.11 , 0.022 eV, 21 cm−1; Cd2: 4.23 , 0.029 eV, 18 cm−1) and available experimental data (Zn2: 0.034 eV, 26 cm−1; Cd2: 0.039 eV, 23 cm−1). A comparison with previous results for the heavier homologue Hg2 is made. Using a multi-reference trial wavefunction for Be2 we achieved a sufficiently accurate description of the nodes of the wavefunction to obtain a bonding interaction within the␣fixed-node approximation. The applicability of this approach has been justified in pseudopotential and all-electron calculations. Covalent bonding contributions which appear in addition to pure van der Waals interactions for these molecules are analysed in terms of local occupation number operators and the associated interatomic charge fluctuations. Static dipole polarizabilities for group 12 atoms and dimers are calculated using a differential quantum Monte Carlo method for finite external electric fields. We have extended this method to pseudopotential calculations by taking into account the electric field dependence of the localized pseudopotentials. Within the statistical uncertainties our results agree with those from coupled-cluster calculations.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 67 (1998), S. 157-173 
    ISSN: 0020-7608
    Keywords: electron correlations ; charge fluctuations ; correlation strength ; chemical bonds ; first-row homonuclear diatomic molecules ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We investigate, by means of ab initio calculations, the strength of electron correlations within covalent bonds: the first-row homonuclear diatomics serve as test cases. As an appropriate measure of the correlation strength, we introduce the reduction of the mean-square deviations of the electronic charges in localized orbitals forming a bond. A recently developed population analysis in terms of local operators derived from localized molecular orbitals is thereby used. The correlation-strength parameter depends only weakly on dynamical correlations as test calculations demonstrate. Therefore, the full-valence complete active space self-consistent field (CASSCF) approximation is applied in order to study the changes in the correlation strength with changing bond length for different types of bonds. A number of simple rules emerge from this discussion. In addition, we show that charge fluctuations are not only a reliable measure of intrabond correlation effects, but also can be used to monitor intraatomic quasi-degeneracy effects as well as the interdependence within multiple bonds.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 67: 157-173, 1998
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
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