Chapter 17: Carrier Concentration variation with Energy

Carrier Concentration variation with Energy

It is the plot of allowed electron energy states as a function of position along a direction

 

Fig. 7.1

 

Carrier distribution vs. E for electrons can be graphed by multiplying g(E) and f(E). Carrier distribution vs holes can be graphed by multiplying and (1-f(E)).

This is shown in Fig. 7.2

Fig. 7.2

When we have an electric field energy band diagram, bands bend with x.

potential energy

Therefore,

Kinetic energy is (E- Ec) in conduction band and in valence band

Change Neutrality Equation

Maxwell's equation gives

semiconductor dielectric constant.