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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 93 (1971), S. 2090-2091 
    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
    s.l. : American Chemical Society
    Journal of the American Chemical Society 94 (1972), S. 2969-2972 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 92 (1970), S. 7249-7252 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 90 (1968), S. 4773-4777 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    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 91 (1989), S. 4106-4110 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A direct method for determining time delays for scattering processes is developed using the R-matrix propagation method. The procedure involves the simultaneous generation of the global R matrix and its energy derivative. The necessary expressions to obtain the energy derivative of the S matrix are relatively simple and involve many of the same matrix elements required for the R-matrix propagation method. This method is applied to a simple model for a chemical reaction that displays sharp resonance features. The test results of the direct method are shown to be in excellent agreement with the traditional numerical differentiation method for scattering energies near the resonance energy. However, for sharp resonances the numerical differentiation method requires calculation of the S-matrix elements at many closely spaced energies. Since the direct method presented here involves calculations at only a single energy, one is able to generate accurate energy derivatives and time delays much more efficiently and reliably.
    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 91 (1989), S. 622-622 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    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 89 (1988), S. 5598-5606 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The bending corrected rotating linear model is used to study the angular distributions for the reactions F+H2, F+HD, and F+D2. The calculations are performed using two new surfaces (No. T5 and T5A) that were recently reported by Steckler et al. (Ref. 3). Analysis of the factors determining the shapes of these angular distributions indicates that the angular momentum dependence of the vibrationally adiabatic barriers in the entrance and exit channels plays a central role in determining the characteristics of the vibrational state-selected, reactive product angular distributions. While the distributions predicted for the reactions F+H2(v=0)→H+HF(v'=3), F+D2(v=0)→H=DF(v'=4), and F+DH(v=0)→H+DF(v'=4) are in good agreement with the high resolution molecular beam studies of these same reactions, the angular distributions predicted for the reaction F+HD(v=0)→D+HF(v'=3) do now show the forward scattering of products derived from high resolution molecular beam studies. This discrepancy appears to be due to a shortcoming in the T5 and T5a surfaces (i.e., the angular momentum dependent, vibrationally adiabatic barriers in the exit channel are too high in energy to permit forward "resonant'' scattering at the low scattering energies corresponding to the experimental studies).
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 8793-8797 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A direct method for determining time delays for quantum reactive scattering is developed for three atoms scattering in three physical dimensions. The method is a simple extension of the Pack–Parker approach to reactive scattering. In their formulation, adiabatically adjusted-principle axis-hyperspherical (APH) coordinates are used to generate coupled equations for the exchange region. These solutions are then projected onto Delves coordinate wave functions to generate the corresponding set of coupled equations that must be propagated out into the asymptotic region. The Delves wave functions are then mapped onto the Jacobi coordinate wave functions from which the reactive scattering S matrix is obtained. The extension of this method to include the direct calculation of the time delays for state-to-state reactive scattering processes involves three essential steps: (1) Modification of the log-derivative method for propagating accurate solutions to the coupled equations so that the log-derivative and its energy derivative are propagated simultaneously; (2) establishing that the APH to Delves projection is independent of the energy; and (3) extension of the energy dependent Delves to Jacobi mapping to include the global R matrix and its energy derivative. The necessary mathematical expressions for accomplishing each of these steps are developed in sufficient detail so that the power and simplicity of the method can be understood and so that the method can be efficiently implemented.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 5978-5979 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The bending corrected rotating linear model is used to predict angular distributions for the reactions F+H2(v=0)→H+HF(v'=2,3) and and F+D2(v=0)→D+DF(v'=3,4). The calculations were performed using the surface (No. 5A) that was reported recently by Steckler, Truhlar, and Garrett. The angular distributions obtained using this new surface differ in several important respects from distributions predicted in earlier quantal scattering studies using the Muckerman-5 surface. More importantly, these new predictions are in much better agreement with the high resolution molecular beam studies of these same reactions. The combination of these predictions with the results of the molecular beam studies provides additional evidence for the role of dynamical resonances in the two title reactions.
    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 102 (1995), S. 4461-4471 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The Parker and Pack method for calculating accurate three-dimensional reactive scattering information uses adiabatically adjusting, principal axes hyperspherical (APH) coordinates to reduce the three-dimensional Schrödinger equation to a set of coupled equations in the hyperradius ρ. Solution of these coupled equations in the usual manner produces the scattering S matrix for the three-atom system of interest. To obtain these coupled equations it is necessary to solve a series of two-dimensional Schrödinger equations on the surface of a hypersphere defined by the hyperspherical polar and azimuthal angles θ and χ, respectively. In this paper, the computational advantages of the direct method for obtaining the energy derivatives of the S matrix are further documented using both the discrete variable representation and the analytical basis method of Pack and Parker for obtaining surface functions. Detailed studies of the title reaction are used to explore various operational criteria to assure that the predicted scattering results such as state-to-state transition probabilities and time delays are converged to the extent desired. It is also shown that the Hermitian property of the Smith lifetime matrix Q, which is accurately produced with the direct energy derivative method, is often not preserved when numerical energy derivatives are employed. © 1995 American Institute of Physics.
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