Linked from

The 19 pages that link to Brillouin zone, each with the reason it gives.

• Band gapRelated: Band extrema are located at points in this zone.

• PhononRelated: Phonon wavevectors are commonly represented within this reciprocal-space region.

• Bravais latticeBroader topic: It packages reciprocal-space translations into a fundamental region.

• Density of statesRelated: Crystal state counting commonly integrates over wavevectors within this zone.

• Reciprocal latticeBroader topic: It organizes wave vectors used to describe electronic states in periodic crystals.

• Fermi surfaceRelated: Fermi surfaces are commonly mapped within this momentum-space cell.

• Bloch's theoremRelated: Bloch wavevectors need only be considered within one reciprocal-space cell.

• Rock salt structureRelated: The cubic periodicity determines the reciprocal-space geometry used to analyze its electronic states.

• Band structureRelated: Band energies are plotted across this reciprocal-space region.

• WavenumberRelated: Crystal vibrations and electron states are indexed by wave vectors and their magnitudes.

• Band theoryRelated: Band energies are plotted across this reciprocal-space region to show their dispersion.

• Debye modelRelated: The crystal’s finite set of vibrational modes is associated with wave vectors in reciprocal space.

• Electronic band structureRelated: Band energies are plotted across this reciprocal-space region.

• Nearly-free-electron modelRelated: Its boundaries mark where the model predicts strong wave coupling and band gaps.

• Chern numberRelated: In two-dimensional band systems, it is commonly the closed parameter space over which curvature is integrated.

• Wigner–Seitz cellBroader topic: Applying the same nearest-point construction in reciprocal space gives the first Brillouin zone.

• First-principles calculationRelated: Sampling its wavevectors is necessary to calculate properties of periodic materials.

• Band structure methodsBroader topic: Band energies are sampled and plotted across this fundamental region of wavevector space.

• Valence and conduction bandsRelated: Band energies are commonly plotted across this region of wavevector space.