International Tables for Crystallography

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Tensors in quasiperiodic structures
T. Janssen. International Tables for Crystallography (2006). Vol. D, ch. 1.10, pp. 243-264  [ doi:10.1107/97809553602060000637 ]

Abstract

This chapter is devoted to the symmetry-related physical properties of quasiperiodic crystals. In the first part the symmetry properties are described: point groups, superspace groups and the action of symmetry groups. The second part concerns the properties of tensors in higher-dimensional spaces, with emphasis on the particular cases of the piezoelectric, elastic and electric field gradient tensors. The last section gives tables of characters of some point groups for quasicrystals and of the matrices of the corresponding irreducible representations.


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About International Tables for Crystallography

International Tables for Crystallography is the definitive resource and reference work for crystallography. The multi-volume series comprises articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials.