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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 115 (2001), S. 2062-2068 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Multireference configuration interaction calculations on the vertical transition energies of the low-lying excited states in carbon chain anions C2n+1− (n=2–5) are carried out. Calculated vertical term energies confirm the previously suggested assignments to the first and second 2Π←X 2Π band systems in matrix isolation spectroscopy. The lowest 1 2Π←X 2Π electronic transitions of C5−, C7−, C9−, and C11−, are calculated at 2.66, 2.27, 1.90, and 1.54 eV, respectively, with large oscillator strengths. Relevant theoretical evidences for a more detailed assignment of the observed transitions are presented. Generally, corresponding excitation energies in the C2n+1− carbon chain anions are found descending with an increase of the chain. The equilibrium geometries and harmonic vibrational frequencies of these linear carbon chains determined by the density functional theory approach also show reasonable agreement with available experimental data. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 200-205 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We propose an algorithm for optimizing quantum Monte Carlo wave functions. An improved steepest-descent technique is used, with step size automatically adjustable to obtain a procedure that converges superlinearly. We also propose a novel trial function, which has both correct electron–electron cusp conditions and correct electron–nucleus cusp conditions. To test the optimization procedure and the optimized trial function, the ground states for CH4 and H2O molecules were investigated using variational Monte Carlo (VMC) and fixed-node quantum Monte Carlo (FNQMC) calculations. For CH4 and H2O, the VMC recovered 73.3% and 57.9% of the correlation energy, respectively, and the FNQMC recovered 99.3% and 92.8%, respectively. The optimization procedure is three to five times faster than conventional usual steepest-descent procedures. The trial functions optimized are more accurate than prior trial functions of similar complexity. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 101 (1999), S. 352-358 
    ISSN: 1432-2234
    Keywords: Key words: Valence bond method ; Symmetry rule ; Phase alternation postulate ; Chemical reaction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract. A symmetry-adaptation rule of the valence bond structure for concerted reactions was developed within the bonded tableau valence bond formalism. According to a symmetry analysis of the valence bond structure segments accounting for the reaction, one can predict whether a chemical process is favored or unfavored. This method is based on conceptual resonance theory and the visual valence bond approach, without carrying out any explicitly theoretical calculations to know orbital details. Furthermore, by imposing a phase factor on each bonding pair, namely, the phase alternation postulate, the mechanisms of the concerted reactions can be easily outlined. These rules have been applied to organic and inorganic reactions including the participation of biradicals and species with multi-reference character.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 70 (1998), S. 283-290 
    ISSN: 0020-7608
    Keywords: LiB ; spectroscopic constants ; excited states ; VBSCF ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The common correspondence between molecular orbital theory and resonance theory in the description of the electronic structure of a molecule is used to select valence bond (VB) structures constructing wave functions of the low-lying states of LiB and LiB+. The spectroscopic parameters of the low-lying states of LiB and LiB are determined by using the valence bond self-consistent field (VBSCF) method. For comparison, multconfiguration SCF (MCSCF) calculations for LiB are also carried out. If the overlap-enhanced orbitals are employed, a compact VB wave function can correctly describe bond making and bond breaking in the entire dissociation process for the low-lying electronic states of LiB. All calculations locate the ground state as 3Π. The VB calculation with 14 VB structures at the level of the basis set DH(s, p) predicts an excellent dissociation energy of 1.16 eV and vibrational frequency of 527 cm-1 for the ground state, which is in good agreement with previous high-level calculations with a large basis set. The effect of the basis set on the numerical quality of the VBSCF calculation is investigated. It is important for improving accuracy of the VB calculation to enlarge the basis set, although the VB treatment including more VB structures with a relatively small basis set needed in the nonorthogonal VB calculation can reasonably describe dissociation behavior for systems with few electrons. The chemical bonds in the ground state 3Π and the excited state (1)3Σ- have ionicities of 63.4 and 65.1%, respectively, while chemical bond in the first excited state 1Σ+ is mainly covalent. Other several low-lying states are also investigated by the VB and MCSCF methods.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 70: 283-290, 1998
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 66 (1998), S. 1-7 
    ISSN: 0020-7608
    Keywords: Symmetry ; projection operator ; VB wave function ; transition energy ; chemical bonds ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A method constructing symmetry-adapted bonded Young tableau bases is proposed, based on the symmetry properties of bonded tableaus and the projection operator associated with a point group. Several examples including the ground states and π excited states of O3-, O3, O3+, and C3- are shown for instruction to construct the symmetrized valence bond (VB) wave function. Excitation energies of transitions from the ground states to π excited states of O3-, C3H5, and C3- are calculated with an optimized symmetrized valence bond wave function in the σ-π separation approximation. Good agreement between the VB and experimental excitation energies is observed. The bonding features of the ground state and the first π excited singlet and triplet states for S3 are discussed according to bonding populations from VB calculations. Both the singlet-biradical and the dipole structures have significant contributions to the ground state X 1A1 of S3, while the excited state 1 1B2 is essentially composed of the dipole structures, and the 1 3B2 excited state is comprised from a triplet-biradical structure.   © 1998 John Wiley & Sons, Inc. Int J Quant Chem 66: 1-7, 1998
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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