The electronic transitions from deep core levels, semicore levels, and valence bands to the empty conduction bands in yttrium aluminum garnet (Y3Al5O12) (YAG) are studied by first-principles calculations that explicitly take into account the excitonic effect. The electron energy-loss near edge structure and the valence-band optical properties thus obtained are in very good agreement with the measured optical data. The electron-hole interaction in YAG is found to be much weaker for valence-band optical transitions than for core transitions.
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