Influence of geometry on light harvesting in dendrimeric systems

The exact analytic expression for the mean time to trapping (or mean walklength) for a particle (electron/exciton) performing a random walk on a finite dendrimer lattice with a trap at the center of the dendrimer was obtained. Exact analytic expressions have also been obtained for articulated/extended dendrimeric systems. The full dynamical behavior was determined for each case studied via numerical solution of the stochastic master equation, and the results obtained were shown to be a direct consequence of the structural properties of the dendrimeric system. These studies are linked to the behavior observed in experiments on light harvesting in dendrimeric supermolecules.