An analytical model of thermally stimulated photoluminescence (TSPL) in a r
andom hopping system is formulated. The model is based on the assumption th
at TSPL originates from radiative recombination of sufficiently long gemina
te pairs of charge carriers created during photoexcitation of the sample at
a low (helium) temperature. Since TSPL measurements are normally performed
after some dwell time the initial energy distribution of localized carrier
s is formed after low-temperature hopping relaxation of photogenerated carr
iers and, therefore, first thermally assisted jumps of relaxed carriers are
considered as rate-limiting steps in the present model. Predictions of the
model are found to be in good quantitative agreement with experimental dat
a on molecularly doped polymers if a double-peak energy distribution of loc
alized states is invoked for these materials. Comparing theoretical results
with existing experimental data also reveals a somewhat slower low-tempera
ture energy relaxation of charge carriers in these materials than predicted
by the conventional theory of carrier random walk in random hopping system
s. (C) 2001 Elsevier Science B.V. All rights reserved.