Semiclassical approach to the description of the basic properties of nanoobjects

• Datum: 2008
• 1. Verfasser: Kornyushin, Y.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Schriftenreihe: Физика низких температур
• Schlagworte: Carbon nanotubes, quantum wires and Luttinger liquid
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/117564
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Semiclassical approach to the description of the basic properties of nanoobjects / Y. Kornyushin // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1063–1071. — Бібліогр.: 26 назв. — англ.

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.