Probabilities of Spontaneous J~1Δ_g~- → B~1Σ_u~+ Transitions in the H_2 Molecule Forbidden in the Adiabatic Approximation

摘要

The nonadiabatic model developed by us earlier was used to calculate absolute values of probabilities of spontaneous J~1Δ_g~-, v', N → B~1Σ_u~+, v", N transitions of the H_2 molecule for the vibrational quantum numbers v' = 0 - 3, v" = 0 - 9 and the rotational quantum numbers N = 2 - 6. In the calculations, we used the values of coefficients of the expansion of the wave function of radiative states in the Born-Oppenheimer basis of the 3d~1Π_g~- and 3d~1Δ_g~- states of the H_2 molecule and the dependence of the transition dipole moment of the 3d~1Π_g → 2p~1Σ_u~+ electronic transition of the hydrogen molecule on the internuclear distance, which had been obtained by us earlier semiempirically. The semiempirical values of probabilities of these transitions were compared with the values calculated with the help of ab initio data on the transition dipole moment of the 3d~1Π_g → 2p~1Σ_u~+ electronic transition. The nonadiabatic effects in the probabilities of spontaneous J~1Δ_g~-, v', N → B~1Σ_u~+ , v", N transitions of the H_2 molecule were analyzed.