Systematic Approach to the Analysis of Perturbed Spectra. Part II: Solvina the Problem—A Case Study

Abstract

Part I of this review [1] presented an overview of the study of perturbed spectra, the formal structure of vibration-rotation energy states, the systematic determination of symmetry allowed interactions, the representation and calculation of perturbed energies, and the inverse eigenvalue problem. In this concluding part we first consider perturbation effects on transition frequency and intensity in light of the formalism of Part I. Following this we develop a formalism for fitting perturbed spectra and carry out several example cases. Following these examples, we present a real case study of a perturbed system of vibration-rotation bands that illustrates a series of nearly insuperable problems in analysis. In the process of describing the approach to analysis, much of what was presented in Part I will be made concrete. In addition, the case study should give light to a number of areas only mentioned in passing in Part I.