Effect of the potential well on vibrational scattering and the validity of SSH theory
- Creators
- Wagner, Albert F.
- McKoy, Vincent
Abstract
The vibrational de‐excitation probability, P_(10), is calculated quantum mechanically over a large energy range for models of three collision systems: O_2-O_2,Cl_2-Cl_2, and Br_2-Br_2. The vibrational de‐excitation cross section, σ_(10), is similarly calculated for the Cl_2-Cl_2 model. P_(10) and σ_(10) are obtained for the Lennard‐Jones intermolecular potential and three other "well‐less" potentials designed to duplicate the scattering of the Lennard‐Jones potential. The results emphasize the adiabatic nature of potentials with wells and indicate that the acceleration approximation for the effect of the well is not valid. The curves of P_(10) and σ_(10) as a function of initial translational energy are used to obtain exact collision numbers. These numbers are compared to the results of SSH theory. SSH theory is found to predict collision numbers with reasonable accuracy except at low temperatures. SSH theory is also not suitable for analyzing experimental collision numbers for the well depth potential parameter.
Additional Information
© 1973 The American Institute of Physics. Received 27 January 1972. Online Publication Date: 22 August 2003. Alfred P. Sloan Foundation Fellow. Contribution No. 4406.Attached Files
Published - WAGjcp73b.pdf
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Additional details
- Eprint ID
- 33150
- Resolver ID
- CaltechAUTHORS:20120814-071720729
- Alfred P. Sloan Foundation
- Created
-
2012-08-14Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- Caltech Arthur Amos Noyes Laboratory of Chemical Physics
- Other Numbering System Identifier
- 4406