Structure and Decoration of the Icosahedral and Rhombohedral Phases in AlCuFe Alloys

Atomic (phason) hopping in perfect icosahedral quasicrystalsAl70.3Pd21.4Lyonnard1, Coddens2, Calvayrac3 et al. 1996Phys. Rev. B571292View full textAdd to dashboardCite

“…3 They could also be a mechanism for the hightemperature transitions between quasicrystals and related phases as have been frequently observed in the past. 4 And finally a good knowledge about the atomic jump vectors, including a determination of the atomic species involved, could provide invaluable information for verifying structural models 5 as worked out, e.g., by Le Lann and Devaud 6 for Cu jumps in the icosahedral and rhombohedral phases of Al-Cu-Fe.…”

Structural transformation from the AlCuFe icosahedral phase to the 1/1 cubic (AlSi)CuFe approximant phase; three dimensional models of translation defects

“…It was determined from a 6D neutron diffraction study [10] that the AlCuFe icosahedral structure is defined in 6D space by 3 atomic surfaces located at the N [000000] and N [100000] nodes of a primitive lattice and at the BC 1/2[111111] body-centre; the other BC 1/2[111111] body-centre is vacant. The size and shape of the atomic surfaces, in perpendicular space, determine the occupation in real space of the nodes of the four sublattices: Figure 3 is a two-fold section of this 3D model, previously described by Le Lann and Devaud [5]. The BC node located at the centre of this limited volume of icosahedral structure is taken as the origin of coordinates.…”

“…We described [5] in a 3D model of the icosahedral structure, large concentric orbits surrounding a local symmetry centre. Here, there are around the BC centre (Fig.…”

“…We describe these domains in a three-dimensional (3D) model of the AlCuFe icosahedral structure [3][4][5], and we identify the different translation vectors between them (Sects. 3.1 and 3.2).…”

Generation of Quasiperiodic Structures by Amassment Centres in Multilattices

“…A popular method for generating quasiperiodic lattices and atomic structures is the cut and projection of structures that are periodic in higher-dimensional spaces. This method was successfully applied to icosahedral quasicrystals of A1CuFe type (Janot, 1993;Le Lann & Devaud 1995). Besides such perfect quasiperiodic structures, random tiling models are used (Elser, 1996).…”