Question

The probability that electrons and holes to which Pauli's exclusion principle applies and electrons exist in the allowable energy level is a Fermi-Dirac distribution function. (fFD(E)) (T=300 K, kT=25 [meV]=0.025 [eV])

a) Find the probability of electrons at the energy level E = Ef + 9kT (> Ec).

b) Find the probability of a hole at the energy level where E = EF - 9kT (<Ev).

c) In the energy band diagram, indicate semiconductor 1 having a thermally balanced electron concentration of no1 = NC / 400 and semiconductor 2 having an electron concentration of no2 = no1 / 400.

d) In the energy band diagram, indicate the semiconductor No. 3 with a hole concentration of po3 = NV / 8,000 and the semiconductor No. 4 with a hole concentration of po4 = 8,000 × po3.

e) Compare the product (no1 × po1) of electron concentration and hole concentration of semiconductor 1 and size of that of semiconductor 2 (no2 × po2).

f) Compare the product of electron concentration of semiconductor 1 and hole concentration of semiconductor 3 (no1 × po3) and that of semiconductor 2 and semiconductor 4 (no2 × po4).

Answer 1