Chemical Potential μ in Solids

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QuarkDecay
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TL;DR
The equation for chemical potential in solids and what each part means.
There is the equation:

μ= Eu +Eg/2 +3/4kβTln(mu/mc)

Eg is the band gap, but I don't understand what Eu stands for and how we can calculate it? Could it be the valence band?
 
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##\mu## is the chemical potential of electrons in a semiconductor.
##E_u## is the energy at the top of the valence band.
 
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