“…In this regard, it should be pointed out that the Tauc’s equation alone is not enough to specify the type of transition, since four figures is needed to be plotted depending on the values that the exponent takes [15]. From a quantum mechanics viewpoint, the existence of strong correlation between optical dielectric loss ( ε 2 ) and band structure of the materials is a subject of various theoretical studies [46,50,51,52]. The use of ε 2 to estimate the optical band gap, is related to the fact that ε 2 is a function of the electronic band-structure, density of filled and empty states and magnitude of optical transition probability between the filled and empty states [53,54], as follows:
where Ω is the unit-cell volume and ω is photon frequency, VB and CB denote the valence and conduction bands, W k is the weight associated with a k -point, is the transition probability and a denotes a particular direction.…”