Semiconductor physics
Which is the correct definition of the work function of a material?
- AThe energy difference between the vacuum level and the bottom of the conduction band
- BThe energy difference between the bottom of the conduction band and the top of the valence band
- CThe energy difference between the vacuum level and the Fermi level
Show answer and explanation
Answer: C. The energy difference between the vacuum level and the Fermi level
The work function is the energy needed to remove an electron at the Fermi level into vacuum, that is, the difference between the vacuum level and the Fermi level. In a semiconductor the Fermi level depends on the doping, so the work function changes too. The difference between the vacuum level and the bottom of the conduction band is the electron affinity.
- A. The difference between the vacuum level and the conduction band bottom is the electron affinity.
- B. The difference between the conduction band bottom and valence band top is the band gap.
- C. Correct. The work function is the difference between the vacuum level and the Fermi level.