2004 AIPMT Semiconductor Electronics: Materials, Devices and Simple CircuitsEnergy bands in solids Easy Question 4 of 4 in Energy bands in solids

In semiconductors at a room temperature

A The valence band is completely filled and the conduction band is partially filled
B The valence band is completely filled
C The conduction band is completely empty
D The valence band is partially empty and the conduction band is partially filled

The answer is D.

Solution

In a semiconductor, the valence band and the conduction band are separated by a small forbidden energy gap $E_g$ (about 1.1 eV for Si and 0.7 eV for Ge).
At absolute zero (0 K), the valence band is completely filled and the conduction band is completely empty, so the semiconductor behaves like an insulator.
At room temperature, thermal energy is enough to break some covalent bonds. A few electrons jump across the small gap from the valence band to the conduction band.
Each electron that leaves the valence band leaves behind a vacancy (a hole). So the valence band is no longer completely filled; it is partially empty.
The electrons that reach the conduction band make it partially filled.
Both electrons in the conduction band and holes in the valence band conduct electricity, which is why the conductivity of a semiconductor increases with temperature.
So at room temperature the valence band is partially empty and the conduction band is partially filled.

Concept Band picture of a semiconductor at room temperature

Energy bands in solids in past papers

4 questions from this chapter have appeared across 3 exam years.