Page 4 of 4
4. Consider a piece of silicon A that is doped with both donor and acceptor impurities as: N_d = 2.5 × 10^18 cm^-3 and N_a = 1.3 × 10^17 cm^-3. Another piece of silicon B is doped with only donors, N_d = 1.2 × 10^18 cm^-3. Assuming complete ionization of impurities and the intrinsic carrier concentration n_i = 1 × 10^10 cm^-3, which of the following statements is true? (4 points)
a) Electron concentration in sample A > sample B
b) Electron concentration in sample A < sample B
c) Electron concentration in sample A is approximately equal to sample B
d) Additional information is needed.
5. Two semiconductor materials have exactly the same properties except that material A has a band gap value of 1.0 eV and material B has a band gap value of 1.2 eV. Determine the ratio of the intrinsic carrier concentration n_i of material A to that of material B at room temperature. (4 points)
a) 32.4
b) 2191.4
c) 46.8
d) 75.3
6. What is the charge state of an occupied donor (i.e., a donor atom has been occupied by an electron) and what is the charge state of an unoccupied acceptor (i.e., an acceptor atom has not been occupied by an electron)? (4 points)
a) Neutral, positive