High-lying levels of ozone via an algebraic approach

An algebraic Hamiltonian for the vibrational motion in ozone, including a Darling-Dennison type coupling term, is used to fit the recently observed high overtones. The good quality of the fit is due to the coupling of anharmonic normal modes by a quartic order (Darling-Dennison type) coupling term. The algebraic Hamiltonian contains six parameters and these suffice to provide a better fit than the six-parameter spectroscopic term formula which uses a Darling-Dennison type coupling among harmonic modes. The present results provide a hitherto unexplored quantitative application of the algebraic approach to perturbed high lying states of triatomics.