The study of aperiodic crystals has been essentially based on diffraction methods. The characterization of diffracted intensities with a number of integer indices equal to its rank rather than its dimension led to the concept of superspace, which is now being systematically applied in the description of aperiodic crystals. When rank is higher than the dimension of the system, the crystal structure exhibits additional periodicities which are in general incommensurate with the others. Consequently, it should be possible to observe the additional periodicities on macroscopic crystal samples. This chapter discusses the morphology of aperiodic crystals, surfaces, and magnetic quasiperiodic systems.
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