International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2010). Vol. B, ch. 1.3, p. 48   | 1 | 2 |

## Section 1.3.2.7.2.2. Sublattice relations for reciprocal lattices

G. Bricognea

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#### 1.3.2.7.2.2. Sublattice relations for reciprocal lattices

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Let us now consider the two reciprocal lattices and . Their period matrices and are related by: , where is an integer matrix; or equivalently by . This shows that the roles are reversed in that is a sublattice of , which we may write:

 The residual lattice is finite, with , and we may again combine and into