Brillouin zones

PHY.K02UF Molecular and Solid State Physics

Brillouin zones

Triclinic a ≠ b ≠ c α ≠ β ≠ γ	Triclinic
Monoclinic a ≠ b ≠ c α ≠ 90° β = γ= 90°	Monoclinic simple	Monoclinic Base centered
Orthorhombic a ≠ b ≠ c α = β = γ = 90°	Orthorhombic simple	Base centered
Orthorhombic a ≠ b ≠ c α = β = γ = 90°	Face centered	Body centered
Tetragonal a = b ≠ c α = β = γ = 90°	Simple	Body centered
Trigonal a = b = c α = β = γ ≠ 90°	Trigonal = Rhombohedral
Hexagonal a = b ≠ c α = 120°, β = γ = 90°	Hexagonal
Cubic a = b = c α = β = γ = 90°	Simple Cubic	Face Centered Cubic	Body Centered Cubic

Notes on Brillouin zones by Andrea Dal Corso
This is an ongoing project to draw all of the Brillouin zones. The symmetry points and lines still need to be added for some of the Brillouin zones.