Semiconductor intrinsic Fermi Level? Bandgap Energy?

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SUMMARY

The discussion centers on the calculation of the intrinsic Fermi level in semiconductors, specifically addressing the relationship between the conduction band edge (Ec), valence band edge (Ev), and the bandgap energy (Eg). The equation referenced, equation (2.6.24), illustrates that the intrinsic Fermi level can be approximated as (Ec + Ev)/2, which simplifies to E_gap/2 under the assumption that Ec equals Eg and Ev equals 0. This clarification resolves the confusion regarding the derivation of the intrinsic Fermi level in 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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