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Reciprocal lattice ( $Λ^{*}$ )

The reciprocal lattice is

Λ^{*} = {q : q \cdot l \in 2 π Z for every l \in Λ} .

If

Ω = a_{1} \cdot (a_{2} \times a_{3})

, its primitive vectors are

b_{1} = 2 π \frac{a _{2} \times a _{3}}{Ω}, b_{2} = 2 π \frac{a _{3} \times a _{1}}{Ω}, b_{3} = 2 π \frac{a _{1} \times a _{2}}{Ω},

and satisfy

a_{i} \cdot b_{j} = 2 π δ_{ij}

.

Table of contents 93 2
- Wigner-Seitz cell Reciprocal lattice 62 1
  - Reciprocal lattice and Wigner-Seitz cell of the unit triangular lattice Wigner-Seitz cell 30

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