Band Theory in Solids

What is Band Theory?

Band theory describes how electrons behave in solids. In isolated atoms, electrons occupy discrete energy levels. When atoms come together to form a solid, these energy levels split into bands that contain closely spaced energy levels.

The key bands for electronic behavior are:

The size of the band gap determines whether a material is a conductor, semiconductor, or insulator:

Temperature: 300 K
Conduction Band
Valence Band
Electron
Hole

Metal (Conductor)

Metals have overlapping bands or partially filled bands, allowing electrons to move freely without additional energy.

Semiconductor

Semiconductors have a small band gap. Thermal energy can excite electrons from the valence to conduction band.

Insulator

Insulators have a large band gap. Normal temperatures don't provide enough energy for electrons to jump to the conduction band.