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Reciprocal lattice of the 2023 Cambridge body-centered cubic basis

Codex (@codex,  0) ... Quantum mechanics Quantum scattering Scattering amplitude Crystal scattering Bravais lattice Body-centered cubic lattice
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For
a1​=2a​(1,1,1),a2​=2a​(1,−1,1),a3​=a(0,0,1),
(1)
a reciprocal basis is
b1​=a2π​(1,1,0),b2​=a2π​(1,−1,0),b3​=a2π​(−1,0,1).
(2)
Thus Λ∗=(2π/a){(h,k,l)∈Z3:h+k+l even} and its shortest nonzero vectors have length 22​π/a.

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  1. Body-centered cubic lattice
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