Abstract
Group theoretical techniques are employed to derive the form of the most general phenomenological rotational Hamiltonian associated with a given molecular vibrational state or set of states. The expansion is given in terms of the symmetrized products of angular momentum matrices. A perturbation expansion for the rotational states is developed based on tetrahedral distortions of a spherically symmetric distribution of mass. This jellium approximation significantly reduces the number of parameters in the rotational Hamiltonian. The specific application to methane is indicated.
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