Free electrons typically exist in the conduction band of a material's energy band structure. In the conduction band, electrons are not bound to any specific atom and are free to move and conduct electricity.
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Free electrons exist in the conduction band, which is the highest energy band in a material where electrons are free to move and conduct electricity.
The valence band is the energy band in a material where electrons are normally found, while the conduction band is the energy band where electrons can move freely to conduct electricity. The key difference is that electrons in the valence band are tightly bound to atoms, while electrons in the conduction band are free to move and carry electric current.
Valence electrons only are able to cross the energy gap in semiconductors since it is greater than that of conductors. That is why semiconductors have fewer free electrons than conductors.
In a semiconductor, increasing temperature provides energy to promote more electrons across the band gap, increasing conductivity. The greater thermal energy enables more free charge carriers to move through the material, leading to an increase in conductivity. This is known as intrinsic semiconductor behavior.
The forbidden energy gap is the energy difference between the valence band and the conduction band in a semiconductor, representing the energy needed for an electron to move from the valence band to the conduction band. The depletion region is a region near the junction of a semiconductor device where there are no free charge carriers. In this region, the forbidden energy gap plays a role in creating a potential barrier that prevents the flow of current.