Quasi-classical nonadiabatic transition probability for G_3/2 × (t₂ + e) Jahn-Teller systems

An analytic expression for the single-passage nonadiabatic transition probability in the vicinity of a G_3/2 × (t₂ + e) conical intersection in tetrahedral or octahedral systems containing heavy elements is derived in the quasi-classical approximation. The four-channel dynamical equations are solved for a straight-line nuclear trajectory in the five-dimensional space of the t₂ and e vibrational modes. The analytic results obtained in the present work may be useful for trajectory surface-hopping simulations of the dynamics of the G_3/2 × (t₂ + e) Jahn-Teller effect.