Photocurrent transients are studied on freshly cleaved and photooxidized anthracene crystals using blocking contacts. Holes are generated by singlet excitons dissociating at surface states (electron traps) and via exciton–exciton interaction, while electrons are produced only via the latter process. The first process will reach a state of saturation at high intensities if the surface states are almost completely filled by electrons during one light pulse. Spacecharge effects occur only in highly photooxidized samples. With this model the peculiar intensity dependence of photocurrents can be explained without invoking bimolecular charge carrier recombination.