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Wave Optics

Question
CBSEENPH12038827

Distinguish between metals, insulators and semiconductors on the basis of their energy bands.

Solution
Metals: In metals, either the conduction band is partially filled or valence band is partially empty. Many electrons from below the Fermi level, by acquiring a little more energy from any source, can shift to the higher energy levels above the Fermi level in the conduction band and behave as free electrons. The conduction band and the valence band overlap each other ( there is no forbidden energy gap) in metals. In this situation, large number of electrons are available for electrical conduction, hence the resistance of such a material is low or the conductivity is high. Even if a small electric field is applied across the metal, these free electrons start moving in a direction opposite to the direction of electric field. As a result, current begins to flow through it and hence, metal behaves as a conductor.
The energy band diagram for metal is shown in fig. (i).


Insulators: In insulators, the valence band is completely filled, the conduction band is empty and energy gap is quite large (Eg> 3 eV). As a result of huge energy gap, no electron will jump from the valence band to the conduction band even if electric field is applied. The energy band diagram of insulator is shown in figure (ii). 

Thus, electrical conduction is not possible and hence these materials behave as insulators. eg. diamond ( Eg = 6 eV).

Semiconductors: In semiconductors, the valence band is completely filled  and conduction band is empty but, energy gap between them is less than 3 eV. The energy band diagram of a semiconductor is shown in figure (c.) 



At 0 K, conduction band remains totally empty because the electrons in the valence band are not able to get excited to the higher level. However, at room temperature, some electrons in the valence band acquire thermal energy greater than energy band gap and, jump over to the conduction band where they are free to move under the influence of even a small electric field.  As a result of it, the semiconductor acquires small conductivity at room temperature.

The resistance of semiconductor would not be as high as that of insulator.




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