Abstract
The decagonal diffraction symmetry of a decagonal quasicrystal (DQC) results from its particular autocorrelation (Patterson) function. Structural subunits (‘clusters’) with decagonal symmetry may exist but do not need to exist. By atomic resolution high-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM), we observed the so far largest tenfold symmetric structural subunits in decagonal Al59Cr21Fe10Si10 scaling up to 5.2 nm. This amazing result provides direct experimental evidence how the local tenfold symmetry of DQCs is expanded to a larger size.
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