At room temperature (~295 K with kT ~ 0.025 eV), what fraction of the free electrons in a semiconductor with an energy gap of 1.5 eV can be expected to be in the conduction band? A)10^-9 B)10^-13 C)10^-30 D)0.03 E)10^-15

Question

Quizplus · Accepted Answer

The fraction of electrons in the conduction band is proportional to exp(-Eg/kT), where Eg is the energy gap. For Eg = 1.5 eV and kT = 0.025 eV, exp(-1.5/0.025) ≈ 10^-13.

At Room Temperature (~295 K with KT ~ 0