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

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The Fermi level in semiconductors represents the energy level at which the probability of electron occupancy transitions from high to low. In intrinsic semiconductors, it is positioned between the valence band and the conduction band within the energy gap. When a semiconductor is doped, the Fermi level shifts closer to the conduction band for n-type or toward the valence band for p-type materials. This shift indicates changes in carrier concentration and energy states available for electron occupancy. Understanding the Fermi level is crucial for grasping the electrical properties of 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.
 
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