Simple Sum Rule for Total Radiative Decay Rates in Diatomics

摘要

In diatomic spectroscopy the calculation of the total radiative decay rate for fluorescence out of a specific (V prime, J prime) level of an excited electronic state to all levels of a lower state involves the evaluation of a sum and integral. The quantity (V superscript 3), which occurs in expressions for the total radiative decay rate for an excited vibronic state of a diatomic, is evaluated as a simple expectation value for the initial state. In test calculations this expectation value agrees with the exact sum over states within approx. 0.2%.