Relativistic rotation-vibrational energies for the 107Ag 109Ag isotope

Abstract

We present the relativistic rotation-vibrational energy equation of a diatomic molecule which moves under the Morse potential model. In the nonrelativistic limit, the relativistic energy equation turns to the nonrelativistic rotation-vibrational energy expression of the diatomic molecule. We observe that the relativistic effects subject to the relative motion of the ions yield a little increase in the vibrational energies for the B-11 $\Pi_{\rm u}$ state of the 107Ag 109Ag isotope, and this result is consistent with that obtained by considering the relativistic effects subject to the electronic motion in the literature. It is observed that the behavior of the relativistic rotation-vibrational energies in larger rotational quantum numbers remains similar to that with zero rotational quantum number.