by UV-radiation, electrons are excited from the valence band into the band of conductivity. The density of states within the bands increases with temperature. Therefore I believe that the absorption increases by an power law as observed.
Ok, in that case you need to check whether they are the same size (DLS, NTA, SEM), if they are, then their crystallinity may vary (X-ray), or maybe the surface may be different (Zeta Potential)