Geometrical terms in the effective Hamiltonian for rotor molecules

preprint2013arXivOpen access

Abstract

An analogy between asymmetric rotor molecules and anisotropic cosmology can be used to calculate new centrifugal distortion terms in the effective potential of asymmetric rotor molecules which have no internal 3-fold symmetry. The torsional potential picks up extra cos⁡α\cosα and cos⁡2α\cos2α contributions, which are comparable to corrections to the momentum terms in methanol and other rotor molecules with isotope replacements.

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