title: The structure model of a cubic aperiodic phase ('quasicrystal without forbidden symmetry axes').
abstract: A model structure of the aperiodic cubic phase (a cubic quasicrystal) has been constructed as a periodical packing of hierarchical octahedral clusters which were composed of truncated tetrahedra (Friauf-Laves polyhedra) and chains of Frank-Kasper polyhedra with 14 vertices. The construction of the hierarchical model for the cubic aperiodic phase became possible due to the discovery of a new space subdivision with equal edges and with vertices belonging to two orbits of the space group Fm3m. The subdivision is characterized by unique values and unique relations between the coordinates of the starting points of two orbits. Calculated x-ray diffraction patterns for the proposed hierarchical model are in qualitative agreement with published experimental x-ray patterns for aperiodical phases observed in melt-quenched Mg-Al and Fe-Nb-B-Si alloys.
authors.affiliation: Department of Machinery Technology, Bauman Moscow State Technical University, 5, 2nd Baumanskaya Street, Moscow 105005, Russia.
authors.forename: V S
authors.initials: VS
authors.lastname: Kraposhin
authors.forename: A L
authors.initials: AL
authors.lastname: Talis
authors.forename: Ha
authors.initials: H
authors.lastname: Thanh Lam