Acta Crystallographica Section A

Crystal Physics, Diffraction, Theoretical and General Crystallography

Volume 36, Part 3 (May 1980)


research papers



Acta Cryst. (1980). A36, 399-408    [ doi:10.1107/S0567739480000885 ]

Symmetry of incommensurate crystal phases. I. Commensurate basic structures

A. Janner and T. Janssen

Abstract: The superspace-group approach [Janner & Janssen (1977), Phys. Rev. B, 15, 643-658] is used to solve the symmetry problem of incommensurate crystal phases in the case of displacive- and occupation-wave modulation. Generalization is given to cover magnetic modulation as well. The symmetry conditions imposed by the superspace group on the crystal structure are derived and applied to the following incommensurate crystals, whose structures have been discussed in the literature independently from the present point of view: K2SeO4, 2H-TaSe2, NaNO2 and Cr. The superspace groups describing the symmetry of these compounds are indicated and the structural implications of the corresponding symmetry elements discussed.

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