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  • American Institute of Physics (AIP)  (9)
  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 7432-7440 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: For the HF dimer we calculate the fundamental HF stretching vibration frequencies, and the fundamental and overtone frequencies of the intermolecular (HF–HF) stretching vibration, using an ab initio potential energy surface and the previously developed semirigid bender Hamiltonian. The ab initio surface used involves the addition of 459 nuclear geometry points to the 1061 reported in our earlier work. These extra points have been chosen to give more information on those parts of the surface that involve distortions of the HF bond lengths. We have fitted these 1520 points to an analytic expression, slightly modified from our previous work, that involves 39 adjustable parameters and one constrained parameter; the weighted standard deviation of the fit is 29.3 cm−1. To calculate the vibrational frequencies, and the tunneling splittings in these vibrationally excited states, we use the semirigid bender Hamiltonian to average over the trans-tunneling path. We also calculate from the ab initio surface the effect of the adiabatic corrections, for the HF stretching states, that arise from the separation of the tunneling mode. In the adiabatically corrected calculation we obtain ν1=3926 cm−1, and ν2=3875 cm−1, which are in good agreement with the experimental results (3930.9 and 3868.1 cm−1, respectively). We also predict ν4=146 cm−1, 2ν4=280 cm−1, and 3ν4=405 cm−1. The value obtained for ν4 enables us to explain the observed perturbation of the lower tunneling component of the K=4 ground state level as being due to interaction with the lower tunneling component of the ν4=1, K=3 level.
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 5154-5159 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Using a purely ab initio minimum energy path for the trans-tunneling motion in the HF dimer, the energy levels for the K-type rotation and trans-tunneling motion for (HF)2 and (DF)2 are calculated with a one-dimensional semirigid bender Hamiltonian and no adjustable parameters. The transition moments for rotation-tunneling transitions are calculated, using our ab initio value for the dipole moment of an isolated HF molecule, and we also calculate B¯ values. The energy levels we obtain are in close agreement with experiment; for example, the K=0 tunneling splitting in (HF)2 is calculated as 0.65 cm−1 compared to the experimental value of 0.658 69 cm−1. As well as showing that our ab initio minimum energy path is very good, the calculation demonstrates that the semirigid bender formalism is able to account quantitatively for the unusual K dependence of the rotational energies resulting from the quasilinear behavior, and that the trans-tunneling motion is separable from the other degrees of freedom. We use the results to predict the locations, and transition moments, of the ΔK=0 and ±1 subbands in the tunneling spectra of (HF)2 and (DF)2, many of which have not yet been observed.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 6266-6280 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have carried out an ab initio calculation of the intramolecular stretching spectra (wave numbers and transition moments) of (HF)2, (DF)2, and HFDF involving v1+v2≤3, where v1 and v2 are the local mode quantum numbers for the two intramolecular (HF or DF) stretches. The ab initio surface used as a basis for these calculations has already been published [M. Kofranek, H. Lischka, and A. Karpfen, Chem. Phys. 121, 137 (1988); P. R. Bunker, P. Jensen, A. Karpfen, M. Kofranek, and H. Lischka, J. Chem. Phys. 92, 7432 (1990)], but in the present work we have extended the 1520 nuclear geometry points previously available with 198 points in order to explore further the variation of the intramolecular stretching energies and the dipole moment along the minimum energy (trans tunneling) path. We compute the intramolecular stretching energies and transition moments by making an adiabatic separation of the intramolecular stretching motion and the other vibrational motions of the molecules, and we use the semirigid bender Hamiltonian to average over the trans-tunneling motion. For HFHF, we obtain the fundamental level corresponding to the "free-H'' stretch ν1 at 3925 cm−1 and that corresponding to the "bound-H'' stretch ν2 at 3874 cm−1, in very good agreement with the experimental results of 3930.9 and 3868.1 cm−1, respectively [A. S. Pine, W. J. Lafferty, and B. J. Howard, J. Chem. Phys. 81, 2939 (1984)]. For the higher excited states, we obtain the 2ν1 energy level at 7674 cm−1 (7700±20 cm−1), 2ν2 at 7570 cm−1 (7555±15 cm−1), 3ν1 at 11 259 cm−1 (11 260 cm−1), and 3ν2 at 11 085 cm−1 (11 060 cm−1), where the experimental values [K. von Puttkamer and M. Quack, Chem. Phys. 139, 31 (1989)] are given in parentheses.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 1246-1256 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: MCSCF and MR-ACPF calculations on the structure and vibrational frequencies of allyl (2-propenyl) and 1,4-pentadienyl radicals are presented. Using different levels of theory the instability problem in allyl has been investigated in great detail. Based on these conclusions fully optimized structures and force constants were calculated at the three-orbital CAS-MCSCF and at the MR-ACPF level for allyl. To correct for systematic errors, an empirical scaling was also applied on the MCSCF force field. The scaled MCSCF and the unadjusted MR-ACPF force constants were used to calculate the vibrational frequencies. A reassignation of the experimental infrared spectrum is also given. Using the scale factors optimized for allyl the scaled MCSCF force field and vibrational frequencies of pentadienyl were also calculated.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 2469-2477 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Equilibrium structures and several other ground state properties of linear and cyclic (HCN)3 clusters were investigated with the aid of ab initio methods applying extended basis sets and including electron correlation. Computed equilibrium structures, stabilization energies, dipole moment, vibrational spectra and infrared intensities are compared with available experimental data. Corresponding results are also presented for the HCN monomer and the linear (HCN)2 dimer. Modifications of monomer properties induced by cluster formation are monitored and discussed. In agreement with our previous self-consistent field studies and with a recent vapor phase spectroscopic experiment, both the linear and the cyclic trimer are true minima on the energy surface and are almost equally stable.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 3002-3007 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have developed an analytical expression for the 6D potential energy surface of (HF)2 and fitted it to 1061 ab initio points covering an energy range of up to 25 000 cm−1 above equilibrium. The ab initio calculation used the coupled pair functional approach with an extended polarized basis set. We have adjusted 42 parameters (and constrained 7 others) in the fitting of the analytical function to the points; the standard deviation of the weighted fitting is 26.8 cm−1 . The minimum energy path from the linear saddle point (345 cm−1 above equilibrium), through the equilibrium point, to the C2h saddle point (332 cm−1 above equilibrium) has been determined, and several cuts through the potential are presented. We plan to use this potential surface in reaction path and close coupling calculations of rotation–vibration term values.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 87 (1987), S. 3530-3538 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Equilibrium structures and in-plane harmonic force fields of ethylene, trans 1,3-butadiene, and all-trans 1,3,5-hexatriene were investigated with the aid of ab initio Hartree–Fock (SCF) calculations applying basis sets of DZ+P and TZ+P quality. The most interesting parts of the force fields, namely those involving stretching vibrations of the conjugated carbon backbone, were subsequently reevaluated including electron correlation at the coupled pair functional (CPF) level. We demonstrate that electron correlation has a significant influence not only on the degree of bond alternation in the ground state equilibrium structure but simultaneously leads to an increase in absolute value of all off-diagonal stretch–stretch coupling constants within the carbon backbone.
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 982-996 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We report the results of a systematic ab initio self-consistent field (SCF) study on the structure and vibrational spectra of all-trans polyenes ranging from C4H6 to C18H20. We include the limiting case of the infinite all-trans polyacetylene. Trends in the evolution of the vibrational frequencies upon increasing the size of the polyenes and the convergence of edge effects and of bulk properties are monitored. We point out the inherent limitations of any SCF-type approach for the description of the vibrational spectra of polyenes and discuss difficulties encountered in the extrapolation to infinite chain length. On the basis of a suite of calculations on the smaller members of the polyene series trans-1,3-butadiene and all-trans-1,3,5-hexatriene carried out with a high-level electron correlation method, a new scaled force field has been suggested recently by us [M. Kofranek, A. Karpfen, and H. Lischka, Int. J. Quantum Chem. Symp. 24, 721 (1990)] which reproduces most of the experimentally known trends in these oligoenes, in particular, the vibrational frequencies in the region of the carbon–carbon double and single bond stretches. The performance of this scaled force field for the prediction of the vibrational spectra of larger all-trans polyenes is investigated in detail. We also apply it to compute the harmonic phonon dispersion curves of polyacetylene and compare with available experimental data.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 96 (1992), S. 4464-4473 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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