Analysis of Elastic-Scattering Data in the Semiclassical Approximation

Greene, E. F.; Reck, Gene P.; Rosenfeld, John L.

doi:10.1063/1.1840438

Cited by 13 publications

(11 citation statements)

References 10 publications

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“…The origin of the discrepancy is the approximation of the deflection function near its minimum by a parabola. 26 In the present work the opacity function of Eq. (6) is employed exclusively.…”

Section: Uniform Semiclassical Approximationmentioning

confidence: 98%

Optical Model Analysis of Nonreactive Collisions of Reactive Molecules: Scattering of K, Rb, and Cs from CCl4, CH3I, and SnCl4

Harris

Wilson

1971

The Journal of Chemical Physics

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Crossed beam studies of nonreactive scattering of K, Rb, and Cs atoms from CCI4, CH,I, and SnCI. have been carried out and the differential cross sections compared with calculations based on a phenomenological optical model analysis. The models employed make use of a parameterized "reference" potential which is intended both to represent a multipole expansion of the potential surface of the reactants for internuclear distances greater than the radius of chemical interaction, and to provide a systematic means of calculating the real parts of the optical phase shifts. A new semiclassical method for calculating nonreactive differential cross sections for an isotropic central potential (reference) and a parameterized probability of reaction (opacity) function, P( (3), is presented and applied to the scattering of M+CCI •. It is found that the observed cross sections are consistent with a Lennard-Jones reference potential and a P(f3) which is a rounded-off step function. A better description of the reactivity for these systems was obtained by expressing the opacity function in terms of y, the reduced distance of closest approach, instead of the impact parameter f3. The velocity dependence of the opacity function was virtually removed upon making this transformation, and the reactivity for a given alkali atom was found to resemble a diffuse "black sphere" of radius Ye, the opacity becoming less diffuse in the order Cs

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Section: Uniform Semiclassical Approximationmentioning

confidence: 98%

Optical Model Analysis of Nonreactive Collisions of Reactive Molecules: Scattering of K, Rb, and Cs from CCl4, CH3I, and SnCl4

Harris

Wilson

1971

The Journal of Chemical Physics

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“…(3) gives l b2 (6) dA l b2 (6) a. (8) (7) bl (6) bl (6) which is just the area between the deflection function and the dashed line in Fig. 1 (d. Ford and Wheeler 5 ).…”

Section: (B) and Ba(b)] Which May Be Writtenmentioning

confidence: 98%

“…(8) and ar (8) are known from experimental data. (I'll show how to determine them from the data in the next sections.)…”

Section: Physical Information Contained In As and A Rmentioning

confidence: 99%

Finding the Potential Directly from Scattering Data

Pritchard

1972

The Journal of Chemical Physics

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I show how to obtain reduced phase variables from the interference structure in elastic scattering. One such curve contains nearly all of the information which may be found from the positions of the supernumerary and glory structure (even though the energy and angle are varied independently in the data). I show that this information is insufficient to determine the deflection function (and hence the potential) uniquely unless additional information is utilized. Three methods are presented for determining the deflection function from the data without the use of parametrized models. The discussion is generalized to the case of resonant exchange.

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“…The parameters of the different intermolecular potentials have hitherto been determined from the rainbow structure by following different methods [4,9]. Buck and Pauly [1] have determined the intermolecular potential for Na-Hg system by inversion from the rainbow and glory [10] has made a systematic study on the determination of intermolecular potential from the inversion of rainbow scattering data.…”

Section: Determination Of Potential Parametersmentioning

confidence: 99%

Rainbow structure for the Kihara core potential by using the uniform approximation

Ray

1973

Z. Physik

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The positions of maxima and minima in the rainbow structure have been calculated for the Kihara core potential by using the uniform approximation. The results have been reported in the tabular form as functions of reduced energy, quantum parameter and core diameter. The potential parameters for this potential have been determined for the systems Ar-Kr and Ar-Xe from the rainbow data in conjunction with other properties. The results show the success of the Kihara potential in interpreting the various properties of the systems considered by using a single set of potential parameters.

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Analysis of Elastic-Scattering Data in the Semiclassical Approximation

Abstract: The usefulness and accuracy of several approximations in the semiclassical derivation of the differential elastic scattering cross section are evaluated for the purpose of defining the best way of analyzing experimental data to obtain potential parameters.

Cited by 13 publications

References 10 publications

Optical Model Analysis of Nonreactive Collisions of Reactive Molecules: Scattering of K, Rb, and Cs from CCl4, CH3I, and SnCl4

Optical Model Analysis of Nonreactive Collisions of Reactive Molecules: Scattering of K, Rb, and Cs from CCl4, CH3I, and SnCl4

Finding the Potential Directly from Scattering Data

Rainbow structure for the Kihara core potential by using the uniform approximation

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