Semiclassical approach to the description of the basic properties of nanoobjects

TL;DR

This review paper discusses a semiclassical approach based on electrostatics and the Thomas-Fermi model to predict properties of nanoobjects like fullerenes, nanotubes, and metallic clusters with surprisingly good accuracy.

Contribution

It applies a semiclassical electrostatic and Thomas-Fermi framework to calculate electronic shell dimensions and dipole oscillation frequencies in various nanoobjects, demonstrating its effectiveness.

Findings

Semiclassical approach accurately predicts fullerene shell dimensions.

Calculated dipole oscillation frequencies for fullerenes and nanotubes.

Demonstrated stability and mechanical properties of metallic clusters.

Abstract

Present paper is a review of results, obtained in the framework of semiclassical approach in nanophysics. Semiclassical description, based on Electrostatics and Thomas-Fermi model was applied to calculate dimensions of the electronic shell of a fullerene molecule and a carbon nanotube. This simplified approach yields surprisingly accurate results in some cases. Semiclassical approach provides rather good description of the dimensions of the electronic shell of a fullerene molecule. Two types of dipole oscillations in a fullerene molecule were considered and their frequencies were calculated. Similar calculations were performed for a carbon nanotube also. These results look rather reasonable. Three types of dipole oscillations in carbon nanotube were considered and their frequencies were calculated. Frequencies of the longitudinal collective oscillations of delocalized electrons in carbon peapod were calculated as well. Metallic cluster was modeled as a spherical ball. It was shown that metallic cluster is stable; its bulk modulus and the frequency of the dipole oscillation of the electronic shell relative to the ions were calculated.