Structural Features of Quasicrystalline Nanoparticles With Seventh-Order Rotational Symmetry

TL;DR

This paper investigates the atomic structure and symmetry of quasicrystalline nanoparticles with seventh-order rotational symmetry, revealing their dihedral group symmetry, diffraction patterns, and inhomogeneous atomic density distribution.

Contribution

It provides atomic models and symmetry analysis of seventh-order rotational symmetric quasicrystalline nanoparticles, enhancing understanding of their structure and diffraction characteristics.

Findings

Nanoparticles exhibit dihedral group D7v symmetry.

Distinct diffraction patterns confirm quasicrystalline order.

Atomic density decreases from center to periphery.

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.