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Distributia Fermica

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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)


02

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 :








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