THE TORSIONAL-WAGGING TUNNELING PROBLEM AND TORSIONAL-WAGGING-ROTATIONAL PROBLEM IN HYDRAZINE

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1985

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Ohio State University

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Results derived previously for the rotational levels of the eight-framework and three-large-amplitude vibrational problem in $H_{2}$N-NH$_{2}$, using a tunneling formalism based on a treatment of the vibration-rotation problem as a whole, are rederived here in a much simpler fashion, using a tunneling formalism based on separate treatment of the vibrational and rotational problems. The present formalism is thus much more akin to the usual vibration-rotation formalism, and the origins of the various contributions to the vibration-rotation energy levels can be understood relatively easily. It is convenient here, as in earlier treatments, to make extensive use of permutation-inversion and extended-group (double-group) ideas, but it is necessary in the present treatment to consider tunneling between 16 minima in molecular coordinate space, i.e. between a number of minima which is twice the number of non-superimposable molecular frameworks that can actually be constructed for $H_{2}$N-NH$_{2}$.

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Author Institution: Department of Physics, Faculty of Science, Kanazawa University; Molecular Spectroscopy Division, National Bureau of Standards

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