Calculations of vibration -rotation energy levels of diatomic molecules using the Euler series transformation method

摘要

Vibration ― rotation energy levels of diatomic molecules are usually represented as a power series on vibration (v+1/2) and rotation J(J+1) quantum numbers ― Dunham series. These series can be slowly convergent or even divergent for highly excited states, therefor, one needs to use the special method of their summation (Refs.[1-8] in the reference list are an examples). In the present we report the application of the Generalized Euler Transformation ― a method for divergent series summation, for calculation of vibration-rotation spectra of diatomic molecules.