Determination of the tiling type and phason strain analysis of decagonal quasicrystals in Al—Ni—Co alloys

Abstract

From high-resolution electron micrographs of the decagonal phases of the Al_72.5Co₁₁Ni_16.5 and Al₇₀Co₁₅Ni₁₅ alloys, tilings are produced by connecting prominent structural features. Indexing the tiling vertices as the projection of a five-dimensional periodic lattice and investigation of the distribution of the vertices in orthogonal space gives information about the tiling model and possible phason strains. The technique also reveals domain boundaries which separate regions differing only in the amounts of linear phason strain.