A SIMPLIFIED TREATMENT OF ASYMMETRIC ROTOR PROBLEMS AND THE MICROWAVE SPECTRUM OF OZONE

摘要

A simplified formulation of the theory of the asymmetric rotor is proposed. The computational procedures required for the evaluation of both the rigid rotor energy levels and of the centrifugal distortion corrections are substantially shortened in this formulation. The methods developed are employed for the evaluation of the microwave spectrum of ozone. The molecular parameters of ozone used for this purpose have been de¬termined from the available observational data. Discrepancies between observed and calculated frequencies are discussed, but not explained. Numerical values are obtained and tabulated for all the transitions whose relative intensities are expected to exceed the intensity of the faintest line observed so far. The frequencies and the centrifugal distortion corrections of all the lines belonging to one sub-branch are found to depend in a simple and characteristic way upon the rotational quantum numbers.