Intramolecular energy transfer dynamics in 24-mode pyrazine by partitioning technique: A time-dependent approach

We investigate the intramolecular energy transfer dynamics of the S(2) excited electronic state of pyrazine due to radiationless transitions to energetically lower-lying singlet electronic states using a new time-dependent method. The femtosecond decay of S(2) to the S(1) excited state and the picosecond decay of S(2) to the ground electronic state S(0) are studied within an efficient methodology for computing the intramolecular dynamics in multidimensional configurational spaces. Our method is based on partitioning the full configuration space into the (small) subspace of interest Q and the rest, the subspace P. The exact equations of motion for the states in Q, under the influence of P, are derived in the time domain in form of a system of integrodifferential equations. Their numerical solution is readily obtained when the Q space consists of just a few states. Otherwise, the integrodifferential equations for the states in Q are transformed into a (larger) system of ordinary differential equations, which can be solved by a single diagonalization of a general complex matrix. The former approach is applied to study the pyrazine picosecond S(2)→S(0) dynamics and the latter is applied to the study of the ultrafast pyrazine S(2)→S(1) decay dynamics.