Semiempirical investigation of perturbations of the g factors of electronic-vibrational-rotational levels of hydrogen: III. The r 3Π g − and s 3Δ g − states of the H2 and D2 molecules

Abstract

The g factors of rovibrational levels of the (4d)r 3Π g − and (4d)s 3Δ g − states of the H2 and D2 molecules have been obtained for the first time. These values were found within the nonadiabatic model taking into account the interaction of the 4dπ3Πg and 4dδ3Δg states in the pure precession approximation using semiempirical values of the expansion coefficients of the wave function in an adiabatic basis, which was obtained for the first time for the states of the triplet 4d complex of terms of the hydrogen molecules, and the results of numerical calculation of the overlap integrals of the vibrational wave functions of these states. It is established that the interference effects of the interaction between the 4dπ3Π g − and 4dδ3Δ g − states lead to significant (up to 7 times for the r 3Π g − state of the H2 and D2 molecules and 70 and 8 times for the s 3Δ g − state of the H2 and D2 molecules, respectively) differences between the nonadiabatic values of the g factors and the corresponding adiabatic values. It is found that the perturbed values of the g factors are much closer to the values corresponding to the case of Hund’s d coupling of angular momenta than to the values corresponding to the b coupling. It is established that the perturbations of the g factors of rovibrational levels of the states of the 4d complex of terms are much greater (up to 2 times for the 3Π g − states and 350 times for the 3Δ g − states) than the perturbations of the same characteristics for the 3d complex of terms of the hydrogen molecule with the same vibrational and rotational quantum numbers.