Electron microscopy observations of the newly discovered icosahedral phase in the Al‐Cu‐Fe ternary system show a domain structure as expected from a group‐subgroup formal decomposition from a primitive six-dimensional (6D) hypercubic unit cell to a face‐centred one with twice the lattice parameter, as suggested by Ebalard and Spaepen. The structure of Al65Cu20Fe15 can be seen as an ordered F superstructure of the usual primitive quasilattice with, at least, two motifs in the 6D representation. The smoothness of the observed antiphase boundaries and the relative weak intensities of the superstructure reflections suggest that the ordered motifs should share many geometrical features. A possibility could be that at least one of the orbits of a given atomic species arranges in space according to a 6D primitive skeleton and chemical ordering occurs on the remaining orbits.

Antiphase domains in icosahedral Al‐Cu‐Fe alloy

Neutron diffraction data were obtained from a single-phase icosahedral powder of the system Al74Si5Mn21 and its modification by isomorphous substitution on the Mn sites Amplitudes and phase differences of the partial structure factors (FAl, FMn) were determined From their Qperpendicular to -dependences within a strip-projection approach, phases were reconstructed Atomic densities were then calculated in the physical space and in the six-dimensional periodic lattice, resulting in the first experimentally deduced decoration of the quasi-periodic network The Mackay icosahedron no longer appears as the necessary basic structural unit In six dimensions the structure has a simple CsCl-like space-group symmetry

http://iopscience.iop.org/article/10.1088/0953-8984/1/6/001/pdf

Icosahedral crystals: neutron diffraction tells you where the atoms are

Using both powder and single crystal samples, neutron and X-ray diffraction data were obtained with quasicrystals of the AlLiCu system. Isotopic substitution on the Li and Cu atomic sites allowed amplitudes and phase shift of the partial structure factors to be determined. Using a high-dimensional crystallography approach results in the phases to be reconstructed and atomic densities were calculated. The six-dimensional periodic structure appeared as a primitive hypercubic lattice with mid-edge and vertex Al/Cu atomic surfaces plus a Li bodycentre site. The major drawbacks of the experimental approach are then bypassed by modelling details of the six-dimensional structure, still in agreement with diffraction data. The related three-dimensional quasiperiodic structure can be described in terms of connected clusters or, alternatively, families of atomic planes. Comparison with the structure of the crystalline R-phase is of interest.

https://iopscience.iop.org/article/10.1088/0953-8984/3/1/001/pdf

Atomic structure of the icosahedral Al-Li-Cu quasicrystal

REVIEW ARTICLE: Quasicrystals

We have established a simple icosahedral to face-centred icosahedral ordering transformation in Al-Mn quasicrystals. This result strongly supports the view that the recently discovered face-centred icosahedral quasicrystal in ternary Al-Cu-Fe and related alloys represents a long-range superstructure of simple icosahedral quasicrystals

Evolution of superlattice order in Al–Mn quasicrystals and its relation to face-centred icosahedral quasicrystals

X-ray diffraction results on several uniformly oriented quasicrystals of an Al-Li-Cu alloy are reported. By means of long exposed monochromatic Laue and precession photographs, we confirm the parity rules for a primitive icosahedral quasilattice. Moreover, for the first time, complex diffuse scattering related to the icosahedral symmetry has been observed. Spherical shells of diffuse scattering appear in reciprocal space : the centres of the most intense shells are located on the five-fold axes.

https://hal.archives-ouvertes.fr/jpa-00210562/document

X-ray diffraction study on uniformly oriented quasicrystals

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X-ray diffraction study on uniformly oriented quasicrystals