What is the physical meaning of the fermi level in semiconductors?

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I Know that the fermi level in an intrinsic semiconductor is found between the valency level and the conduction level in the energy gap , and I know that also when the semiconductor is doped the fermi level either move toward the conduction band or away from it.But actually I can not get the physical meaning of the fermi level, so I would be glad if someone helped and thank you>
 
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It's the energy at which the probability of occupation of a level changes from high to low.

Which needs a level, of course. There is none in the forbidden band.