InternationalReciprocal spaceTables for Crystallography Volume B Edited by U. Shmueli © International Union of Crystallography 2010 |
International Tables for Crystallography (2010). Vol. B, ch. 4.6, p. 610
## Section 4.6.3.3.2.1. Indexing |

The indexing of the submodule of the diffraction pattern of a decagonal phase is not unique. Since corresponds to a module of rank 4 with decagonal point symmetry, it is invariant under scaling by : . Nevertheless, an optimum basis (low indices are assigned to strong reflections) can be derived: not the metrics, as for regular periodic crystals, but the intensity distribution characterizes the best choice of indexing.

A correct set of reciprocal-basis vectors can be identified experimentally in the following way:

### References

Rabson, D. A., Mermin, N. D., Rokhsar, D. S. & Wright, D. C. (1991).*The space groups of axial crystals and quasicrystals.*

*Rev. Mod. Phys.*

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