Semiconductor intrinsic Fermi Level? Bandgap Energy?

AI Thread Summary
The discussion revolves around the calculation of the intrinsic Fermi level in semiconductors and its relationship to bandgap energy. The equation presented suggests that the intrinsic Fermi level can be approximated as the average of the conduction band edge (Ec) and the valence band edge (Ev). Participants question how this average leads to the bandgap energy being represented as E_gap/2, rather than simply Ec - Ev = Eg. The confusion stems from the assumptions made during the lecture regarding the values of Ec and Ev. Clarifying this relationship is crucial for understanding semiconductor physics.
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http://ecee.colorado.edu/~bart/book/book/chapter2/ch2_6.htm#2_6_2
equation (2.6.24)

eq2_6_24.gif


we have this equation for fermi level, but I wonder how this works though?
In the lecture, we assumed Ec=Eg and Ev=0 to get E_gap/2.

but I wonder how (Ec+Ev)/2 actually gives E_gap/2 instead of Ec-Ev=Eg
 
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It was a stupid question. sorry.
 
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