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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 94 (1990), S. 5493-5496 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , 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 92 (1990), S. 6069-6076 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Variational calculations of vibrational levels of three Ag modes are reported for cyclobutadiene, its vicinally 13C-dilabeled derivative, and the tetralabeled derivatives 13C4H4 and C4D4. These calculations use the ab initio two-configuration GVB/4-31G potential surface for the antisymmetric CC stretch (automerization), symmetric CC stretch, and symmetric CCH bend. The three vibrational modes are strongly coupled so that one-dimensional and adiabatic multidimensional approaches are not justifiable in this case. The splitting of the ground vibrational state of di-13C -cyclobutadiene is calculated to be 4 cm−1, which implies the rate constant for automerization is k=2.4×1011 s−1 at temperatures near absolute zero. The Raman spectrum of cyclobutadiene is predicted to have two strong bands in the region of 3100–3200 cm−1. The other transitions are predicted to be of considerably lower intensity, though three of them should be strong enough to be observed. Two of the three are predicted to be accompanied by satellite lines which are due to the automerization splitting of the Ag levels. Uncertainties involved in the theoretical approach are discussed.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 4763-4773 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Propargylene was identified in a matrix as a product of photolysis of cyclopropenylidene and diazopropyne. The molecule is a triplet. The optimum geometry predicted by ab initio calculations corresponds to a structure HC≡C–C¨H. The transition structure in the interconversion HC≡C–C¨H(arrow-right-and-left)HC(overdot)=C=C(overdot)H(arrow-right-and-left)HC¨–C≡CH is very low in energy and close to the energy of the vibrational ground state. Owing to this nonrigidity, computed infrared (IR) frequencies based on a harmonic treatment do not match the experimental spectrum. When this nonrigidity is taken into account by using a nonharmonic approximation calculated UMP2/6-31G** IR spectra are in good agreement with the observed spectra of HCCCH and DCCCD.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 3008-3015 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Results of ab initio two-configuration CI-SD/[3s2p1d/2s], MBPT(4), CCSD+T(CCSD), and CCSDT-1 calculations are reported for the rectangular D2h equilibrium and square D4h transition structures of cyclobutadiene. The latter is a classic example of a multireference correlated method. The optimum CC and CH bond lengths found for the D4h transition structure are 1.448 and 1.093 A(ring), respectively. The activation barrier for the automerization is 9.0 kcal/mol at the two-reference GVB-CISD level while the single reference CCSD gives 19.9, 14.4 for CCSD+T(CCSD) and finally a dramatic change to 9.5 at the highest CCSDT-1 level. The importance of triples in overcoming the multireference character at the transition state is apparent. On the other hand, GVB-CISD is simpler than CCSDT-1 which attests to the importance of a qualitatively correct multireference starting point for this example. A less sophisticated computational method, GVB/4-31G, which also gives a reasonable barrier of 10.2 kcal/mol was used for the construction of the two-dimensional potential surface of automerization. The following lowest vibrational energies were obtained for this surface (v1 and v2, the symmetric and antisymmetric CC stretches in D4h symmetry, are given in parentheses): 0 and 4.2 cm−1 (00+; 00−); 1526.1 and 1607.6 cm−1 (01+; 01−), 1480.9, and 1485.5 cm−1 (10+; 10−), and 791.6 cm−1 for the zero-point energy (00+). The computed splitting of the vibrational ground state implies the rate of automerization is k=2.5×1011 s−1 for temperatures close to absolute zero.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 9815-9819 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Full-dimensional first dipole hyperpolarizability surfaces of NH3 are determined by means of multiconfigurational quadratic response theory. On the basis of the two-dimensional, symmetric stretching vs inversion, hyperpolarizability functions, and approximate vibrational wave functions, effective inversional hyperpolarizability moments are evaluated for the D3h ammonia isotopomers. The calculations have revealed their strong vibrational and frequency dependence. A fairly close reproduction of the first hyperpolarizability ESHG constant β (632.8 nm) by theory indicates that the major correction to the one-particle hyperpolarizability is obtained by variational wave functions including a comparatively small set of active orbitals. We find that a meaningful comparison with experimental results can only be obtained by an appropriate evaluation of both the vibrational and the correlated dispersion dependencies.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 7159-7164 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Static and frequency-dependent dipole polarizabilities α and first hyperpolarizabilities β are calculated for H2O using self-consistent field (SCF) and multiconfigurational self-consistent- field (MCSCF) linear and quadratic response theory. With an active orbital space where one correlating orbital is included for each occupied valence orbital excellent agreement is obtained with the experimental hyperpolarizability. Basis set dependency has been investigated and a detailed vibrational analysis has been carried out.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 7331-7336 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Prospects for higher order perturbation theory in evaluating accurate eigenvalues and eigenvectors of the vibrational Hamiltonian are investigated by performing calculations on a series of two- and three-dimensional quartic anharmonic oscillators imitating vibrational motions in the H2O, H2S, NO2, SO2, and HOF triatomic molecules. Despite the fact that most of the corresponding perturbation expansion series diverge strongly they can be summed efficiently using the same methods as in previous studies on one-dimensional oscillators. Hence, higher order perturbation theory appears as a reasonable alternative to accurate variational methods in the case of small molecular systems and as a very promising tool for a proper treatment of larger systems.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 990-997 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The phenol-water cation radical has been investigated by ab initio theory using the spin-restricted open-shell Hartree–Fock and spin-restricted open-shell second-order Møller–Plesset theories with 3-21G*(O) and 6-31G* basis sets. The full geometrical optimization was performed for several hydrogen-bonded structures and one hemibonded structure. Clearly, the most stable structure has been found for Cs symmetry with the linear hydrogen bond between the proton of the OH group of the phenol cation radical and the oxygen of the water, and the water hydrogens pointing away from the phenyl ring. For this structure harmonic (and for some intermolecular modes anharmonic) vibrational frequencies have been computed for various isotopic complexes. The computed shifts of phenol-localized intramolecular modes on complexation and on deuteration as well as the calculated intermolecular frequencies of the different isotopic complexes allow for an assignment of vibrational frequencies observed in the experimental zero-kinetic-energy (ZEKE) photoelectron spectra. Five out of a possible six intermolecular vibrations and several intramolecular modes have been assigned, including the 18b vibration which shows a strong blue shift in frequency upon complexation. Structure and properties of the phenol-water cation radical are compared with those of the corresponding neutral complex.
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 4699-4715 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The orthogonally spin-adapted linear-response coupled-cluster (LRCC) theory with singly and doubly excited clusters (CCSD) was employed to calculate quadrupole moment functions of the HF and N2 molecules in their ground electronic states. We also calculated several potential energy curves for both systems using various CC and non-CC methods, ranging from the limited and full configuration interaction (CI) and first-order CI (FOCI) to finite-order many-body perturbation theory. FOCI and related complete active space self-consistent field (CASSCF) methods were used in both energy and quadrupole moment calculations. Most of the calculations were performed using the medium-size basis set of TZ+2P quality devised by Sadlej [A. Sadlej, Coll. Czech. Chem. Commun. 53, 1995 (1988)] for high-level ab initio calculations of electrostatic molecular properties. In addition, a number of model CC calculations using small basis sets were performed, for which the exact full CI results, both for the energy and multipole moments, are available. It was demonstrated that the CCSD approach provides a realistic description of quadrupole moment functions, for all relevant geometries in the case of HF and for internuclear separations up to 1.5 times the equilibrium bond length for N2. The results of this study will be used for the analysis of the rovibrational dependence of quadrupole moments and for the calculation of quadrupole transition moments for both HF and N2. © 1996 American Institute of Physics.
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 4716-4727 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Relying on the molecular quadrupole moment functions of the HF and N2 molecules in their electronic ground state, as obtained by the ab initio calculations at various levels of approximation of the coupled cluster method, as well as on the corresponding theoretical and experimental potential energy functions, the effective rovibrational averages and transition moments were evaluated over a wide range of values for the vibrational and rotational quantum numbers. The reliability of the ab initio data was also checked by evaluating the theoretical vibrational energies and comparing them with the experimental ones. The predicted quadrupole moments were found to be in close agreement with the available (rather scarce) experimental data, indicating the reliability of the calculated effective quadrupole moments for the broad range of rovibrational levels where no experimental data are available. © 1996 American Institute of Physics.
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