On choosing a proper basis for determining structures of quasicrystals

Frédéric Lançon , Luc Billard , Sergei Burkov , Marc de Boissieu

The diffraction pattern of quasicrystals can be misindexed in cases of decorated hyperlattices (more than one hyperspace atomic motif per a unit cell). The misindexing is fatal for proper determination of the atomic motifs. This warning is illustrated by a pedagogical 1D example and a more realistic 2D example, which might be related to the decagonal AINiCo alloy.

Domains: Physics archives

Frédéric Lançon, Luc Billard, Sergei Burkov, Marc de Boissieu. On choosing a proper basis for determining structures of quasicrystals. Journal de Physique I, 1994, 4 (2), pp.283-301. ⟨10.1051/jp1:1994138⟩. ⟨jpa-00246905⟩