Excitation transfer in disordered two‐dimensional and anisotropic three‐dimensional systems: Effects of spatial geometry on time‐resolved observables

A unified treatment of dipole–dipole excitation transfer in disordered systems is presented for the cases of direct trapping (DT) in two‐component systems and donor–donor transfer (DD) in one‐component systems. Using the two‐particle model proposed by Huber we calculate the configurational average of Gs(t), the probability of finding an initially excited molecule still excited at time t. For the isotropic three‐dimensional case treated by Huber excellent correspondence is found with the previously reported infinite diagrammatic approximation. The anisotropy of the dipole–dipole interaction is included in the averaging procedure. Two regimes of orientational mobility are considered: the dynamic and static limit, rotations being much faster or slower, respectively, than the energy transfer. The following geometrical distributions are investigated: (a) Infinite systems of one, two, and three dimensions which lead to Forster‐like decays. Two orientational distributions are considered for monolayers: dipoles c...

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