Structural Features of Quasicrystalline Nanoparticles With Seventh-Order Rotational Symmetry

Abstract

In this study, we present atomic models of nanoparticles exhibiting seventh-order rotational symmetry. We established that the point group symmetry of these objects corresponds to the dihedral group D7v. To gain a deeper understanding of their structure, we performed calculations of the pair radial distribution function of the atoms. This data, along with the diffraction patterns derived from dual quasicrystals, indicates that quasicrystals have a distinct and pronounced diffraction pattern, confirming their crystalline nature and atomic-level orderliness. Furthermore, analysis of the spatial arrangement of atoms from the center to the periphery revealed that the atomic density within these nanoparticles is inhomogeneous. Specifically, there is a noticeable decrease in atomic density as one moves from the center of the crystal towards its periphery.