A rotational energy surface study for low polyad structures of the general rovibrational Hamiltonian
Horace T. Crogman
Abstract
Horace T. Crogman
Abstract
A comprehensive study of a rotor coupled to a uni-axial molecule is carried out. The deformation of the Rotational Energy Surface (RES) of the rigid rotor was of interest in the three types of tops: prolate, asymmetric, and oblate. The increase of uni-axial angular momentum and inertia distorts the symmetry of the rotor molecule, which shows up as a deformation in the RES. The semi-classical calculation of the coupled system resulted in multiple RESs of various topologies. The goal of this work is to give a description of the rotational energy surface for various polyad structures from the general Rovibrational Hamiltonian.
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A comprehensive study of a rotor coupled to a uni-axial molecule is carried out. The deformation of the Rotational Energy Surface (RES) of the rigid rotor was of interest in the three types of tops: prolate, asymmetric, and oblate. The increase of uni-axial angular momentum and inertia distorts the symmetry of the rotor molecule, which shows up as a deformation in the RES. The semi-classical calculation of the coupled system resulted in multiple RESs of various topologies. The goal of this work is to give a description of the rotational energy surface for various polyad structures from the general Rovibrational Hamiltonian.
Key concepts: Rotational–vibrational spectroscopy, Hamiltonian (control theory), Rotational symmetry, Angular momentum, Physics, Rotational energy, Rigid rotor, Rotational partition function