
In the above diagram is shown the schematic for the bands of an insulator. In insulators, the occupation of the bands is also controlled by the Fermi-Dirac distribution. The main difference here in comparison to metals is that the Fermi-Level is found in the middle of the band gap. If one observes the band gap, it is generally found that it is very large and hard for electrons to cross it. However, if one studies conductivity in insulators, it is observed that as temperature increases, the conductivity increases. This is a direct result of the electrons being thermally excited and being able to jump the band gap to get to the conduction band. However, even though some electrons make it to the conduction band with thermal excitation, these are few in number, which results in the poor conductivity in general. The figure below shows the thermal excitation that takes place with the result being that there is some occupation of the conduction band. An example of a semi-conductor is diamond.

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