A diagrammatic formalism is derived which facilitates the calculation of phosphorescent lifetimes. This formalism uses double perturbation theory where the spin-own-orbit interaction and the two electron fluctution potential are the perturbations. The transition amplitude between the ground state and the phosphorescent state is calculated to first order in both perturbations. The phosphorescent lifetime of the 1A1, state of methylene is evaluated, by way of illustration, and is predicted to be in the range of 40-100 s. The transition amplitude, in this case, is due primarily to the direct spin-orbit mixing of the 1A1, state with the 3B1 ground state.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry