International
Tables for Crystallography Volume B Reciprocal space Edited by U. Shmueli © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. B. ch. 4.6, p. 498
Section 4.6.3.2.1. Indexing
aLaboratory of Crystallography, Swiss Federal Institute of Technology, CH-8092 Zurich, Switzerland |
The indexing of diffraction patterns of composite structures can be performed in the following way:
The vectors forming a basis for the 3D Fourier module can be chosen such that , and are linearly independent. Then the remaining d vectors can be described as a linear combination of the first three, defining the matrix σ: . This is formally equivalent to the reciprocal basis obtained for an IMS (see Section 4.6.3.1) and one can proceed in an analogous way to that for IMSs.