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  • American Institute of Physics (AIP)  (7)
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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 101 (1994), S. 4735-4749 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A singular value decomposition is used to determine how much and what kind of information about a potential surface is obtainable from a given set of measurements. From the functional sensitivities which relate a set of observable cross sections to the potential, an orthogonal set of potential variations is produced which provides a basis set for describing errors in the potential model. Corresponding to each basis function is an image vector representing a linear combination of cross sections which is the observable response to that particular correlated potential variation. The inclusion of realistic models of measurement uncertainties and potential model uncertainties in the analysis makes possible the division of the potential variation space spanned by the potential variation basis into (i) a subspace of measurable model errors and (ii) a complementary subspace of model errors which the proposed measurements will be unable to estimate. The analysis procedure may be used to assess the value of proposed measurements for inversion, and the technique is compatible with an allied inversion method under development. The method is illustrated for the He–H2 rigid rotor system using as observables a candidate set of generalized cross sections which could be obtained from measurements of viscosity and thermal conductivity in the presence and absence of a magnetic field. The set of observables considered here is found to be capable of providing five distinguishable pieces of information, primarily about the repulsive potential wall and its anisotropy. Field effect measurements of the quality now available are thus shown to offer a means for refining existing models of the anisotropy of the rare-gas-diatom interaction.
    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 109 (1998), S. 1271-1284 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The high-level ab initio potential energy surface (PES) for NeCl2 in the ground electronic state predicts the energy minimum in the linear geometry (L-well) to be slightly deeper than that in the T-shaped geometry (T-well). The experimental D0 and R0 values are reproduced within uncertainties of measurements by both adding the calculated perturbation of the Ne–Cl interactions due to intramolecular forces in Cl2 to empirical NeCl potentials, and by linearly extrapolating or simply scaling the ab initio PES. These procedures lead to equal or even reversed relative depths of the two wells, in accord with both predictions of an atom-atom model using equivalently accurate ab initio NeCl potentials and variation of the ab initio PES with increasing accuracy of calculations. The D0 value for the L-well is predicted to be less than that for the T-well by 2.4 to 5.2 cm−1 for different scaling schemes. The calculated lowest energy rovibrational states associated with each of two conformers show negligible mutual influence, while the effect of the L-well on the rovibrational wave functions for the next vibrational states associated with the T-well is found to be rather important. Microwave spectra are predicted for each PES obtained, and include portions originating from the L-well. The calculated scattering cross section reproduces well the experimental data and is found to be significantly contributed by the L-well. © 1998 American Institute of Physics.
    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 108 (1998), S. 9301-9312 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A high-level ab initio PES has been calculated for the ground state He–Cl2 complex. The existence and relative depths of the two wells, one for each of the linear (L-well) and T-shaped (T-well) geometries, are shown to be correctly predicted with a simple atom-atom model using ab initio HeCl potentials of equivalent accuracy. Distortions of the He–Cl interaction due to perturbations of the electronic structure of the Cl atoms by strong intramolecular forces in Cl2 are suggested to be responsible for the remaining underestimation of the binding energy. Even though it has a deeper well, the linear configuration is less stable than the T-shaped configuration when zero-point vibrations are taken into account. Although the lowest rovibrational levels of each conformer lie above the potential barrier separating the two wells, the associated wavefunctions reflect the presence of the other well only weakly, as indicated by the low local maxima in the probability densities at the other well positions. The presence of the L-well is found to affect the order of the rotational levels associated with the T-well. The microwave spectra originating from each of the two conformers are simulated, and suggest a possibility for direct confirmation of the existence of the L-well. The positions of spectral lines associated with the T-shaped conformer are found to be quite sensitive to the binding energy for the linear conformer. The total differential cross section is found to be affected significantly by the L-well position in the PES, while the influence of both the well depths appears to be rather weak. The additional anisotropy of the He–Cl2 interaction, introduced with the L-well, gives rise to additional oscillations in the cross section behavior as a function of the scattering angle. © 1998 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 107 (1997), S. 1185-1194 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The ground state Ar–C2 potential energy surface has been calculated ab initio and fitted by means of an effective ArC pair interaction model. The global minimum of energy is predicted to occur for the linear Ar–C2 geometry, while a saddle point is predicted for the T-shaped geometry. This behaviour is distinct from that found for rare gas complexes with heavier symmetric diatomic molecules of the second row atoms. The results are analysed in terms of effective ArC potentials, which are perturbed by intramolecular forces in C2, and differ considerably from the Lennard-Jones potentials normally used to model these interactions. The present model is applied to small ArnC2 (n=2–4) clusters and used to predict the microwave spectrum of ArC2. © 1997 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 107 (1997), S. 5702-5713 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Two new ground state potential energy surfaces have been obtained for the ArCl2 Van der Waals complex, one purely ab initio, the other constructed from empirical ArCl potentials modified in terms of ab initio data for the ArCl2 and ArCl moities. The ab initio surface has a well for the linear conformer that is slightly deeper than that for the T-shaped conformer, but inclusion of the zero-point energies reverses the relative binding in the two configurations. The microwave spectrum has been calculated using the new potential surfaces, and a series of lines that can be associated with the linear conformer have been predicted. Possible reasons for their nonobservability under the usual experimental conditions are discussed. A simple modification which employs empirical information on the ArCl potentials used in modelling the ArCl2 potential surface transforms the well for the T-shaped conformer into the global minimum, with a dissociation energy that lies within 0.5% of the experimental value, and microwave transition energies that deviate from experimental values by no more than 1.3%. A final two-parameter scaling allows reproduction of both the experimental D0 value (within experimental uncertainty) and the positions of all observed microwave lines (within 0.02%) for each of the ab initio and empirically based potential surfaces. © 1997 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 5827-5845 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A detailed comparison of the predictive powers of two recently determined empirical and two recently proposed theoretical potential energy surfaces for the N2–He interaction has been carried out. In particular, the following properties have been tested: at the microscopic level, total and state-to-state differential cross sections and absolute total integral cross sections, while at the macroscopic level, interaction second virial, diffusion, viscosity, and thermal conductivity coefficients, as well as the rotational relaxation time, depolarized Rayleigh spectral collision broadening, and shear viscosity and thermal conductivity field-effect data in N2–He mixtures. Exact calculations have been employed, from the close-coupling method for treating scattering data at low energies to the classical trajectory method with second-order corrections to compute the effective cross sections that determine the bulk transport and relaxation phenomena.The empirical exponential-spline–Morse-spline–van der Waals surface [J. Chem. Phys. 85, 7011 (1986)], closely followed by the model Bowers–Tang–Toennies surface [J. Chem. Phys. 88, 5465 (1988)], gives better simultaneous agreement with the scattering data, the second virial coefficient data, the bulk transport data, and the depolarized Rayleigh collision-broadening data, which are properties sensitive to the spherical component of the interaction and to the anisotropy of the low repulsive wall. None of the potential surfaces examined here includes a dependence upon the vibrational stretching coordinate of the N2 molecule, since none of the data employed in the fitting is sensitive to this coordinate. The two theoretical model potentials, especially that based upon an earlier Hartree–Fock plus damped dispersion model surface [J. Phys. Chem. 88, 2036 (1984)], gives better agreement with the rotational relaxation and field-effect data, which are properties sensitive to the anisotropy of the high-repulsive wall. It is established that the exponential-spline–Morse-spline–van der Waals and Bowers–Tang–Toennies surfaces are on the whole the more reliable of the empirical and model surfaces examined, respectively. It is concluded that the optimum N2–He potential energy surface should be a blend of the empirical exponential-spline–Morse-spline–van der Waals and of the two model surfaces.
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 7926-7939 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new multiproperty potential energy surface for the N2–Ar intermolecular interaction is reported. The present determination is based upon molecular beam total differential and integral scattering data, taken together with the temperature dependence of the interaction second virial coefficient, transport properties, transport property field effects, and relaxation phenomena, such as pressure broadening of the depolarized Rayleigh line and longitudinal nuclear spin relaxation. The primary fit has been made to the beam scattering and virial data, and refinements to the potential parameters thus determined have been made by employing the data available for the gas phase transport and relaxation phenomena. The potential energy surface employed is an empirical Morse–Morse–spline–van der Waals form, in which the potential parameters depend upon the angle between the N2 figure axis and the line joining the centers of mass of N2 and Ar. No N2 stretching dependence has been included in the present determination. Comparison is made between the present potential energy surface and two other previously published N2–Ar potential energy surfaces. The present potential energy surface provides the best overall agreement for all available gas phase data for N2–Ar mixtures, and can thus be recommended for calculations of all properties of such mixtures that depend upon the intermolecular interaction.
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