Question

Importance of Bloch theorem in band theory .​

Answer 1

Bloch waves are important because of Bloch's theorem, which states that the energy eigenstates for an electron in a crystal can be written as Bloch waves. ... Therefore, all distinct Bloch waves occur for k-values within the first Brillouin zone of the reciprocal lattice.

I hope that helps you

Answer 2

The form of the wave functions that characterize electron energy levels in a periodic crystal is specified by this theorem. Electrons moving in a constant potential, that is, a potential independent of position r, have plane wave wave functions of the form experiment. This is mainly known as Bloch theorem.

• Bloch waves are significant because Bloch's theorem asserts that the energy eigenstates of an electron in a crystal can be expressed as Bloch waves.
• As a result, all different Bloch waves occur for k-values within the reciprocal lattice's initial Brillouin zone.