The structure of an Al-Pd decagonal quasicrystal studied by high-resolution electron microscopy

Abstract

The structure of a decagonal quasicrystal with 1.6nm periodicity, formed in a rapidly solidified Al₃Pd alloy, was examined by high-resolution electron microscopy, with the aid of the structure of an Al₃Pd crystalline phase. Its structure is characterized as a two-dimensional arrangement formed by sharing a side of decagonal atom columns. A two-dimensional tiling constructed by connecting the atom columns by lines is compared with the Penrose tilings obtained from the projection of hypercubic lattices in the five-dimensional space to the two-dimensional space.