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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 97 (1975), S. 4453-4457 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    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 94 (1991), S. 388-396 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Several variational methods are applied to the calculation of the position and width of the lowest 1S resonance state of H−, which is the simplest physical example of an electronic Feshbach resonance. These methods include two different versions of the analytic continuation of stabilization graphs that enforce the correct branch-point structure and two versions of the complex-stabilization approach, one that stabilizes the complex resonance energy with respect to the exponents of the complex orbital(s) and one that stabilizes it with respect to both the real and complex orbital exponents. The calculations involve medium-, large-, and very-large-sized basis sets of Gaussian orbitals and full configuration interaction (CI). The use of the same basis sets with the various methods allows for detailed comparisons among them. Although the sensitivity of the results to the fit parameters prevents true convergence, reliable estimates of the position and width of this resonance (about four-figure accuracy in the position and two-figure accuracy in the width) are obtained both from a version of the analytic continuation of stabilization graphs that employs one eigenvalue of a real, Hermitian Hamiltonian matrix but enforces the correct branch-point structure and from a complex-stabilization approach that involves complex basis functions and a non-Hermitian Hamiltonian matrix. In the former approach, we find that the results are less accurate when two eigenvalues of the Hamiltonian matrix are employed in the analytic continuation, possibly due to interactions with excited resonance states. For the latter approach, we show that good results can be obtained with basis sets containing a single complex orbital if the resonance energy is also stabilized with respect to an analytic continuation of the real orbital exponents, but that there is no advantage in using two complex orbitals with close exponents.
    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 94 (1991), S. 357-359 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We propose and test a very simple method for calculating equilibrium constants from quartic force fields.
    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 82 (1985), S. 1338-1340 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have applied improved canonical and microcanonical variational transition state theories to the calculation of the rate constants for the polyatomic reaction OH+H2→H2O+H over the temperature range 200–2400 K using the Schatz–Elgersma fit to the Walch–Dunning ab initio potential energy surface. The results are compared to canonical variational transition state theory calculations that employed the same potential energy surface and to experiment. We find that the new results, which are in good agreement with experiment, differ very slightly from those obtained with canonical variational theory. One explanation for this agreement is that the microcanonical variational transition states have a rather weak energy dependence and lie within 0.04a0 of the ground-state adiabatic barrier maximum. We also find that quantum mechanical effects and the inclusion of reaction-path curvature are important at lower temperatures, and that the transition state theory treatment of this reaction breaks down for temperatures higher than about 2400 K.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 1997-2001 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Basis set calculations of the energies and widths of several resonances in electron scattering by a one-dimensional model potential are carried out using real basis sets that are augmented with various choices for a long-range complex Gaussian-type function. The results show that neither the form of the complex basis function nor the behavior of the trial wave function near the origin are important for obtaining accurate results. In fact, excellent results are obtained with a modest basis set of real bound functions augmented with a single complex Gaussian orbital when the complex exponential parameter is chosen by a stationary condition and the calculation is stabilized with respect to the bound function exponential parameter.
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  • 6
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We apply conventional and variational transition state theory with least-action-ground-state and other transmission coefficients to calculate the rate constants and kinetic isotope effects for the reaction Cl+H2→HCl+H. First we consider collinear reactions and compare the calculated results to accurate quantal results for a given potential energy surface. This tests the dynamical methods and shows that they are reliable enough for testing potential energy surfaces. We then make calculations for the three-dimensional reactions employing 11 potential energy surfaces that have been proposed in previous work. Seven of the surfaces are extended LEPS surfaces, as proposed by Persky, Klein, and Stern; Truhlar, Magnuson, and Garrett; and Valencich and co-workers; one is an information-theoretic-bond-order-plus-anti-Morse-bend surface (called AL/AB) proposed by Agmon, Levine, Truhlar, Magnuson, and Garrett; and the final three surfaces are a diatomics-in-molecules-plus-three-center-terms surface proposed by Baer and Last and two diatomics-in-molecules surfaces proposed by Isaacson and Muckerman. Three of the surfaces (the final surface of Persky, Klein, and Stern; the first surface of Truhlar, Magnuson, and Garrett; and the AL/AB surface—all of which have relatively symmetric saddle points) are shown to be more reasonable than the others for predicting the rate constants and the H2/D2 and the HD/DH kinetic isotope effects. The calculations also indicate that the room temperature rate constants are dominated by quantum mechanical tunneling.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 3928-3935 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Recent ab initio information of Kraka and Dunning on the saddle point region for the reaction OH+H2→H2O+H is used to construct an anharmonic potential energy surface valid near the saddle point. Anharmonic vibrational energy levels involving the bound degrees of freedom orthogonal to the reaction coordinate at the saddle point are obtained using perturbation theory through second order for cubic terms and first order for quartic terms, with resonance effects removed. These energy levels are compared to those obtained from an accurate self-consistent field configuration-interaction method, and are used to calculate thermal vibrational partition functions over the temperature range from 200 to 2400 K.
    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 95 (1991), S. 8254-8258 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Positions and widths for the lowest 1Σ+g doubly excited autoionizing states of H2 at several internuclear separations have been obtained by the calculation of Siegert eigenvalues. This approach involves the direct computation of the complex resonance energy in a basis set of both real and complex Slater orbitals. When the complex orbitals are centered between the two atoms, the numerical results are in fair agreement with previous theoretical treatments, although the present width does not rise quite as much for larger internuclear separations. In addition, the sensitivity of the present results on the basis set is studied and improvements to the basis set which should provide converged positions and widths for these resonances are discussed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 86 (1982), S. 2252-2261 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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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. 4664-4671 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This paper presents a way of improving second-order perturbation theory calculations by summing contributions of uncoupled excitations to infinite order. For problems involving molecular vibrations, the new theory is shown to give similar results to conventional second-order perturbation theory when the system treated has no near resonances but also to give accurate and stable results even very close to resonance. The new theory is tested by comparison to converged variational calculations for vibrational energy levels of formaldehyde, formaldehyde-d2, and two two-dimensional model subsystems based on formaldehyde. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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