Distributia Fermica

Distributia Fermica 01

a)Fermi - Dirac distribution for electrons.

Fig. ............1 pct.

Definitions of probabilities ... 1pct

This is the probability to have an electron on energy level E1 and E2 (occupied states) and no electrons on E3 and E4 (unoccupied states)

This is the probability to have an electron on energy level E3 and E4 (occupied states) and no electrons on E1 and E2 (unoccupied states)

Both probabilities must be equal in the case of thermal equilibrium, therefore we can write the following equality:

.........2 pct.

..................1 pct

.....................2 pct.

Coments on the shape of F-D distribution .........2 pct

Bonus ........1 pct

Total .........10 pct

b)Fermi Dirac for holes.

This is the probability to have an electron on energy level E1 and E2 (occupied states) and no electrons on E3 and E4 (unoccupied states)

This is the probability to have an electron on energy level E3 and E4 (occupied states) and no electrons on E1 and E2 (unoccupied states)

If the condition of energy conservation

probability to have an empty state is :