“…Extensive theoretical work in sapphire has shown that small polaron formation at vacancies, color centers, and interstitial sites is likely and that these states are stable, exist in multiple charge states, form preferentially Schottky defects, and are found at well-defined energies from 0.3 eV above the valence band maximum ͑VBM͒ to just below the conduction band minimum ͑CBM͒. [46][47][48][49] In particular, interstitial aluminum Al i 0 sites are predicted to lie with respect to the VBM at 4.8 eV ͑Ն3.7 eV with respect to the CBM; doubly occupied͒ or at 5.7 eV ͑Ն2.8 eV with respect to the CBM; singly occupied͒, 48 similar to F, doubly occupied F − and F 2 centers. 46,47 These states are available at room temperature as acceptor states for charge transfer from the molecular excited state with rates in excess of the observed on rates, therefore not contributing to the observed P͑ on ͒.…”