In this talk we present a statistical model for quantifying the thermal ionization process of an excited impurity ion in a level just below the conduction band of the host while the impurity ion is under constant excitation. YAG:Ce is used as an example. We assume that under constant pumping of the Ce3+ ion into the 5d1 with a blue LED, a condition of thermal and diffusive equilibrium will exist between the conduction electrons and the electrons in the excited 5d1 level of Ce3+ ion. Using the Gibbs sum, we calculate the probability for an excited Ce3+ ion to be thermally ionized, leading to an electron in the conduction band. The density of conduction electrons is then calculated over a wide range of temperatures and excitation densities. The observed quenching of emission at high temperature in Ce-doped YAG with low Ce concentrations is also investigated within this model. It is shown that the experimentally-observed nonradiative losses in this phosphor can be reasonably simulated assuming losses occur via nonradiative decay from the conduction band to the Ce4+ ground state.
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