Transition probabilities for spontaneous emission in the adiabatic and nonadiabatic approximations for all bound vibrational levels of theE,FΣg+1,G,KΣg+1, andH,H¯Σg+1states ofH2

Abstract

The vibrational dipole transition moment integrals are calculated for the individual $v^{\prime }$, $v^{\prime \prime }$ bands of the $E$,$F{}_{}{}^1{}_{}{}^{}\Sigma _g^{+}{}_{}{}^{}$, $G$,$K{}_{}{}^1{}_{}{}^{}\Sigma _g^{+}{}_{}{}^{}$, $H$,$\overline{H}{}_{}{}^1{}_{}{}^{}\Sigma _g^{+}{}_{}{}^{}-B{}_{}{}^1{}_{}{}^{}\Sigma _u^{+}{}_{}{}^{}$, $B^{\prime }{}_{}{}^1{}_{}{}^{}\Sigma _u^{+}{}_{}{}^{}$, $C{}_{}{}^1{}_{}{}^{}\Pi _u^{}{}_{}{}^{}$ systems on the basis of the $R$-dependent ab initio electronic transition dipole moments of Wolniewicz and Dressler. Nonadiabatic effects are included for the transition probabilities and lifetimes by the representation of the nonadiabatic wave functions of all bound vibrational ${}_{}{}^1{}_{}{}^{}\Sigma _g^{+}{}_{}{}^{} \mathrm{}(J=0\mathrm{})\mathrm{}$ levels in the adiabatic basis of the $E$,$F$, $G$,$K$, and $H$,$\overline{H}$ electronic states. Wherever possible the calculated lifetimes are compared with experimental results.