Hexagonal space lattice. The primitive translation vectors of the hexagonal space lattice may be taken as a₁ = (3¹/2²a/2
Posted: Wed Jul 06, 2022 10:12 am
Hexagonal space lattice. The primitive translation vectors of the hexagonal space lattice may be taken as a₁ = (3¹/2²a/2) + (a/2)ŷ ; a₂ -(3¹⁄²a/2)x+ (a/2)ŷ ; (a) Show that the volume of the primitive cell is (3¹/2²/2)a²c. (b) Show that the primitive translations of the reciprocal lattice are b₁ = (2π/3¹/²a)x + (2π/a)ŷ ; b₂ = −(2π/3¹a) + (2π/a)ŷ ; a3 = cz. b3 = (2π/c)2, so that the lattice is its own reciprocal, but with a rotation of axes. (c) Describe and sketch the first Brillouin zone of the hexagonal space lattice.