Penrose structures described by different kite-clusters

The family of kite-clusters, i.e. K4, K7 and K17, obtained by applying inflation rules to the smallest, initial cluster (K4), were successfully used to cover the rhombic Penrose atomic structure. These clusters, especially the first two, namely four-atom K4 and seven-atom K7 clusters were thoroughly studied and compared with the previously described kite-like cluster K17 and the standard 33-atom Gummelt’s cluster (G33). The first in series – monatomic K4 cluster – is probably too small for any real application. The next – K7 – cluster is the simplest one that can be decorated by three different types of atoms. Their concentration is comparable to the concentration of atoms of the stable, decagonal quasicrystals Al–Ni–Co. This leads to the conclusion that the K7 could be also considered as a starting model for the structure refinement.