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An algebraic model taking into account the influence of the molecularrotation on the wave functions of vibrational-rotational states of the diatomicmolecule using the formalism of the ladder operators and an expansion in asmall parameter characterizing the vibrational-rotational interaction have beenproposed for the potentials whose the creation and annihilation operators canbe constructed. Expressions for the expansion of the wave function of thevibrational-rotational states in a set of wave functions of the rotationlessvibrational states have been obtained of the second order in the parameter.Using these expressions and the formulas obtained in our previous paper thealgebraic expressions for the expansion of the dependences of matrix elementsin a set of matrix elements on the wave functions of the rotationless groundvibrational states have been obtained for arbitrary functions of internucleardistance and arbitrary values of the vibrational and rotational quantum numbersof the combined states. The cases of the harmonic oscillator and the Morsepotential were analyzed. The explicit algebraic formulas for the vibrationaldependences of the first five Herman-Wallis coefficients have been derived forarbitrary values of the vibrational quantum numbers of the combining states.The possibility of taking into account the influence of non-adiabatic effectson the vibrational and rotational dependences of matrix elements is considered.

Algebraic Determination of Spectral Characteristics of Rovibrational  States of Diatomic Molecules. II. Analysis of the Vibration-Rotation  Interaction by Means of the Factorization Method