Stable decagonal Al-Cu-Co-Si phase: A phason-perturbed quasiperiodic crystal

Abstract

The analysis of high-resolution electron-microscopy images of the stable ${\mathrm{Al}}_{62}$${\mathrm{Cu}}_{20}$${\mathrm{Co}}_{15}$${\mathrm{Si}}_{3}$ decagonal quasicrystal shows a long-range aperiodic translation order similar to that of Penrose tiling. Thus this particular decagonal phase could be interpreted as a phason-perturbed quasiperiodic crystal.