Decorated 2D quasicrystals – structure factor for clusters and average Patterson analysis

Janusz Wolny (1) , Bartlomiej Kozakowski (2) , Aleksandra Dabrowska (2)

1 Faculty of Physics and Applied Computer Science
2 Faculty of Physics and Applied Computer Science

Covering two-dimensional Penrose atomic structure with different kite-clusters consisting of four, seven and seventeen atoms is discussed. These clusters are compared to the well-known 33-atom Gummelt's cluster. The number and concentrations of different atoms decorating the clusters were found. An analytical formula for the structure factor of decorated clusters was derived in the statistical approach.

Mots clés: Physical Sciences

Janusz Wolny, Bartlomiej Kozakowski, Aleksandra Dabrowska. Decorated 2D quasicrystals – structure factor for clusters and average Patterson analysis. Philosophical Magazine, 2005, 86 (03-05), pp.637-643. ⟨10.1080/14786430500254016⟩. ⟨hal-00513571⟩