Do you have a matter several type optical gap and why? Type band gap zn2sno4, is in most articles direct transition but in some papers is direct-forbidden transition Like the two following article ...
Though I am by no means an expert in this area, I had a hunch that there should be a measurably different temperature dependence for UV-Vis transitions in indirect and direct semiconductors.
Notably the equation for absorption coefficient (alpha) of an indirect semiconductor has a squared relationship with photon energy, and a 1/e^T relationship with temperature. In contrast, the absorption coefficient in a direct semiconductor has a square-root relationship with photon energy and is independent of temperature.
I would therefore suggest recording your absorption spectra at different temperatures and look for this inverse exponential relationship (indicating an indirect semiconductor). Alternatively, plot absorption intensity against the square or square-root of photon energy and look for a linear relationship.
I hope I understood your question correctly and that this helps.
Experimentally, You can get the value of Egby usually use the Tauc relation, which is given by this equation:
αhν = A (hν - Eg )n
where α is the absorption coefficient, it is given in terms of T and R by this Eq.:
α = 1/t ln [(1-R)2 / T]
Or, in terms of A it is given as:
α = (1/d) ln (Io/I) = (1/d) ln A = (2.303*A)/d
where t is the sample thickness, T, R and A are the transmission, reflection and absorpance, while (hν) is the photon energy, where:
hν(eV) = 1240 / [incident wavelength (nm)]
If you plot a graph between (αhν)1/n versus (hν), then you can get a straight line. This line intersects the X-axis at (αhν)1/n = 0 . The values of Eg have been estimated from this intercept. The value of n is dependent on the electronic transition type. Where:
n=1/2 for direct allowed transition,
n= 2 for indirect allowed transition,
n=3/2 for direct forbidden transition and
n=3 indirect forbidden transition. You should try to select the suitable n according to your samples and their preparations.
The appended papers may help you; they are examples of direct and indirect allowed transitions.