THE INFLUENCE OF VIBRATION-ROTATION INTERACTION ON LINE INTENSITIES IN THE PERPENDICULAR AND PARALLEL INFRARED BANDS OF THE LINEAR SYMMETRIC X-Y-X MOLECULE
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Date
1958
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Ohio State University
Abstract
“Vibration-rotation interaction manifests itself in the Hamiltonian of the linear symmetric X-Y-X molecule through the terms $q_{1}(P^{2}-P^{2}_{z}$) and ($P-P+P\cdot P-2P^{2}_{4}$) where $q_{1}$ is the normal coordinate for the breathing mode, P is the total angular momentum operator, $P$ is the internal vibrational angular momentum operator, and the z coordinate axis lies along the equilibrium internuclear axis. Corrections to the dipole moment matrix elements due to these terms are obtained; the contact transformation method of Hanson, Nielson, Shaffer, and $Waggoner^{1}$ is used to simplify the calculations. The resulting intensity expressions indicate, just as the results of Herman and $Wallis^{2}$ for the diatomic molecule, that vibration-rotation interaction gives rise to band asymmetry.”
Description
1Hanson, H., Nielsen, H. H., Shaffer, W. H., and Waggoner, J. H., Jr., J. Chem. Phys. 27, 40 (1957). $^{2}$Herman, R. C., and Wallis, R. F., J. Chem. Phys. 23, 637 (1955).
Author Institution: Department of Physics and Astronomy, The Ohio State University
Author Institution: Department of Physics and Astronomy, The Ohio State University