indirectbandgap
An indirect bandgap is a property of some semiconductors in which the conduction band minimum and the valence band maximum occur at different points of crystal momentum (k) in the Brillouin zone. In such materials, optical transitions near the band edge cannot conserve momentum with a photon alone and must involve a phonon (a quantum of lattice vibration) to balance momentum.
Because momentum conservation requires a phonon, indirect-gap transitions are phonon-assisted and occur less readily than direct-gap
Common examples and implications: Silicon and germanium are classic indirect-bandgap materials. Direct-bandgap materials, which enable efficient
Applications and relevance: Indirect-bandgap semiconductors dominate electronic devices and many photovoltaic applications due to mature fabrication,