Abstract

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.

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