A Stochastic Model for Energy Transfer from CdS Quantum Dots/Rods (Donors) to Nile Red Dye (Acceptors)

We propose a stochastic model for the kinetics of energy transfer from quantum dots or rods of US to Nile Red dye molecules. We assume that the distribution of the dye molecules around quantum dots or rods follows Poisson statistics. By analyzing time-resolved fluorescence decay curves of quantum dots or rods, we obtained the average number of dye molecules attached to the surface of quantum dots or rods as a function of the concentration of dyes and that of quantum dots or rods. The equilibrium constants for attachment/detachment of dye molecules to/from the Surface of quantum dots or rods were evaluated. The quenching rate constants per dye molecule attached to the surface of quantum dots or rods were also estimated.