title: Multiple quasicrystal approximants with the same lattice parameters in Al-Cr-Fe-Si alloys.
abstract: By means of atomic-resolution high-angle annular dark-field scanning transmission electron microscopy, we found three types of giant approximants of decagonal quasicrystal in Al-Cr-Fe-Si alloys, where each type contains several structural variants possessing the same lattice parameters but different crystal structures. The projected structures of these approximants along the pseudo-tenfold direction were described using substructural blocks. Furthermore, the structural relationship and the plane crystallographic groups in the (a, c) plan of these structural variants was also discussed. The diversity of quasicrystal approximants with the same lattice parameters was shown to be closely related to the variety of shield-like tiles and their tiling patterns.
authors.affiliation: State Key Laboratory for Advanced Metals and Materials, University of Science &Technology Beijing, Beijing 100083, China.
authors.forename: Zhanbing
authors.initials: Z
authors.lastname: He
authors.affiliation: State Key Laboratory for Advanced Metals and Materials, University of Science &Technology Beijing, Beijing 100083, China.
authors.forename: Hua
authors.initials: H
authors.lastname: Li
authors.affiliation: State Key Laboratory for Advanced Metals and Materials, University of Science &Technology Beijing, Beijing 100083, China.
authors.forename: Haikun
authors.initials: H
authors.lastname: Ma
authors.affiliation: Crystal Structure Laboratory and National Laboratory of Mineral Materials, China University of Geosciences (Beijing), Beijing 100083, China.
authors.forename: Guowu
authors.initials: G
authors.lastname: Li