  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.
