Reciprocal Lattice
The Fourier transform space of a real-space crystal lattice, where every point corresponds to a set of parallel lattice planes in the real crystal.
Governing formula
b₁ = 2π (a₂ × a₃) / (a₁ · (a₂ × a₃)), G · R = 2π n
SI unit
m⁻¹ (Reciprocal Distance)
In depth
Reciprocal lattice vectors G define momentum space k. X-ray, electron, and neutron diffraction patterns directly image the reciprocal lattice, simplifying diffraction conditions to Laue equations (Δk = G).
Examples in the real world
X-ray diffraction spots recorded on film representing reciprocal lattice vectors of a crystalline mineral.