FOUR-PHOTON LINE-STRENGTH AND SELECTION RULES OVER SYMMETRIC-TOP MOLECULES AND TIME-REVERSAL INVARIANCE.

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1985

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Ohio State University

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Angular momentum and irreducible tensor $methods^{1}$ are used to elucidate the selection rules for a four-photon transition in symmetric-top molecules. The form of the eighty-one $(3^{4})$ radiative transition operators between electronic states of different irreducible representations in the molecular point groups will be derived. The concomitant line strength over N and K states as well as special selection rules such as those for $K = 0. \Delta K = 0$, etc. will also be obtained, using the symmetry and angular momenta of the transition operators. For four-photon scattering between degenerate states, the special spin-selection rule for the permutational symmetry of the degenerate-state self products will be explained from the view point of time-reversal invariance.

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$^{1}$Y.-N. Chiu, J. Chem. Phys. 45, 2969 (1966); 52, 3641, 4950 (1970).
Author Institution: Department of Chemistry, The Catholic University of America

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