Pseudoquasicrystals: Quasicrystal-like Crystals with Thirteen to Eighteen Strong Electron Scatterers Per Unit Cell

Abstract

We present examples of two-dimensional crystals with thirteen to eighteen strong electron scatterers per unit cell which have almost perfect twelvefold, tenfold, and eightfold diffraction patterns in the regions in $k$ space where current experiments are performed. These examples show that it is at present premature to identify the recently discovered octagonal and dodecagonal phases as quasicrystals.