Long Answer
Medium difficulty • Structured explanation
Question 1
Long FormCompare the energy band structures of metals, insulators, and semiconductors, and explain how the energy band gap determines the electrical behaviour of each category.
- In metals, the conduction band is either partially filled or overlaps with the valence band (Eg ≈ 0), so a large number of free electrons are always available, giving low resistance.
- In insulators, Eg > 3 eV; electrons cannot be thermally excited across this large gap, so the conduction band remains empty and electrical conduction is not possible.
- In semiconductors, Eg is small (0.2 to 3 eV for Si: 1.1 eV, Ge: 0.7 eV); at room temperature some electrons gain enough thermal energy to cross into the conduction band.
- When electrons move to the conduction band, they leave holes in the valence band; both electrons and holes act as charge carriers, giving semiconductors intermediate conductivity.
- The energy band model explains why C (Eg = 5.4 eV) is an insulator while Si and Ge are semiconductors, even though all three have four valence electrons.