Reciprocal lattice
- Page ID
- 19292
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The reciprocal lattice is constituted by the set of all possible linear combinations of the basis vectors a*, b*, c* of the reciprocal space. A point (node), H, of the reciprocal lattice is defined by its position vector:
OH = rhkl* = h a* + k b* + l c*.
If H is the nth node on the row OH, one has:
OH = n OH1 = n (h1 a* + k1 b* + l1 c*),
where H1 is the first node on the row OH and h1 , k1 , l1 are relatively prime.
The generalization of the reciprocal lattice in a four-dimensional space for incommensurate structures is described in Section 9.8 of International Tables of Crystallography, Volume C.