VIBRATION-ROTATION INTERACTION IN SYMMETRIC TOP MOLECULES AND THE SPLITTING OF $A_{1}$ AND $A_{2}$ LEVELS.
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Date
1965
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Ohio State University
Abstract
Analytical expressions for the splitting of the $A_{1}$ and the $A_{2}$ rovibrational states in symmetric top molecules are derived with emphasis on the symmetry properties of the Hamiltonian and the wavefunctions. A perturbation technique employing interaction diagrams is used instead of the contact transformation which has been used by previous $workers.^{1, 2, 3}$ Also a few revisions on the existing theory of vibration rotation interaction are made. It is stressed that the observed l-type doubling constants in symmetric top molecules provide information about those anharmonicity potential constants which are not involved in the expression for $\alpha$. A numerical example is given for the ammonia molecule and the magnitude of the anharmonicity term is estimated. The possibility of observing the direct transition between the split levels is discussed.
Description
$^{1}$ H. H. Nielsen, Revs. Modern Phys. 23, 90 (1951). $^{2}$ M. L. Grenier-Besson, J. Physique Rad. 21, 555 (1960). $^{3}$ G. Amat and H. H. Nielsen, J. Mol. Spectroscopy 2, 152 (1958).
Author Institution: Division of Pure Physics, National Research Council
Author Institution: Division of Pure Physics, National Research Council