Matrix Element Dependence of Optical Excitation and Auger Decay of $5d$ Core Holes in ${\mathrm{Bi}}_2$${\mathrm{Te}}_3$

The spectral dependence of the Auger component of the uv photoemission and the far-uv reflectance show that the optical excitation of $5d$ core states cannot be described in terms of simple density of states indicating that matrix element effects must be included.