Effective torsion-rotation Hamiltonian for methanol-type molecules |
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Institution: | 1. Department of Civil Engineering, Montana State University, 205 Cobleigh Hall, Bozeman, MT 59717-3900, United States;2. Mechanical and Industrial Engineering, Montana State University, 220 Roberts Hall, Bozeman, MT 59717-3800, United States;3. Electrical and Computer Engineering, Montana State University, 610 Cobleigh Hall, Bozeman, MT 59717-3780, United States |
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Abstract: | A fourth-order effective Hamiltonian has been derived for the torsion-rotation problem of a methanol-type molecule, i.e., for a C3v top attached to a Cs frame. First, symmetry considerations based on a frame-fixed axis system are used to determine allowed terms in the Hamiltonian. These terms are then subjected to a contact transformation to remove the indeterminate ones. This procedure is essentially an extension of Watson's method for semirigid molecules to the torsion-rotation problem. It is demonstrated that the Hamiltonian derived in the present work is capable of improving the fittings of the millimeter and submillimeter absorption frequencies of CH3OH and CH3SH. |
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