The efficiency of phosphorescent organic light emitting diodes (OLEDs) shows a decrease with increasing luminance (“roll-off”). One of the contributions to the roll-off is triplet–triplet annihilation (TTA). TTA is the process of energy transfer from one triplet exciton to another, after which the excited exciton decays nonradiatively to the lowest triplet state. In this study, the TTA-rate is measured for a large number of emissive materials consisting of a small concentration of phosphorescent “guest” molecules, with emission colors across the entire visible range, embedded in various host materials. It is found that the TTA-rate does not only depend on the direct interaction rate between the excitons on the guest molecules, but also on t...