Theoretical intensities in the spectrum of H 2

Abstract

For electronic vibrational transitions in which only the lower vibrational quantum number varies, the relative intensities in emission are given by a series whose principal term is v 4 n' n" I 2 n' n" , where I n' n" = ∫ F' n' F" n" dr , and F = P r . Here r is the nuclear separation, and P has its usual meaning, as in Kronig’s text-book. Thus to this accuracy the calculated intensities depend only on the nature of the wave-functions F that are used. These in their turn depend on the potential energy functions U of the electronic states concerned. Davidson discusses various potential energy formulæ and their eigenfunctions. The formulæ will here be applied to those bands in the visible spectrum whose structure is sufficiently regular to enable the necessary constants to be specified accurately. In all cases numerical intensity measurements are available for comparison.