International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2016). Vol. A, ch. 3.1, pp. 699-700

Section 3.1.1.5. Remarks

H. Burzlaffa and H. Zimmermannb

3.1.1.5. Remarks

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  • (i) For the handling of special problems such as subgroup relations, it may be convenient to use additional types of centred cells, e.g. a hexagonal cell centred at [2/3,1/3,0] and [1/3,2/3,0,] which is called H. In this case, rule (iiia[link]) above is violated as vectors a and b are now directed along the second set of equivalent twofold axes. Similarly, for tetragonal lattices, C may be used instead of P, or F instead of I; cf. Sections 1.5.4[link] and 2.1.1.2[link] .

  • (ii) Readers who have studied Chapter 1.3[link] may realize that the `lattice bases' defined here are also called `primitive bases' and that both `primitive bases' and `conventional bases' are special cases of bases used in crystallography.








































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