suggested some good articles related to differential method.
Looks like there was already a discussion about it:
https://www.researchgate.net/post/How-we-calculate-the-band-gap-energy-of-a-material-by-derivative-method
Take a look this article:
Whang, Thou-Jen, Mu-Tao Hsieh, and Huang-Han Chen. "Visible-light photocatalytic degradation of methylene blue with laser-induced Ag/ZnO nanoparticles." Applied Surface Science 258.7 (2012): 2796-2801.
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