RANDOM TILING APPROACH TO THE STRUCTURE OF DECAGONAL QUASI-CRYSTALS

The properties of random tiling models for the structure of decagonal quasicrystals are studied using computer simulation. In these models the individual layers are random tilings or binary random tilings and the tiling configurations of adjacent layers are coupled. We simulate the equilibrium behavior of the model and compute elastic constants and entropy. We use of the atomic structure models to decorate the tilings and produce simulated electron micrographs and compare them with the images obtained in high-resolution electron microscopy (HREM) experiments. We also compute the diffraction intensities.