RUS  ENG
Full version
JOURNALS // Optics and Spectroscopy // Archive

Optics and Spectroscopy, 2022 Volume 130, Issue 8, Pages 1153–1159 (Mi os1800)

Spectroscopy and physics of atoms and molecules

Energy spectrum and optical properties of fullerene C$_{50}$(D$_{5h})$ within the Hubbard model

A. V. Silant'ev

Mari State University, 424001 Yoshkar-Ola, Russia

Abstract: The energy spectra of C$_{50}$ fullerene and molecule C$_{50}$Cl$_{10}$ of symmetry group D$_{5h}$ were obtained within the Hubbard model in the mean-field approximation. Using group theory methods, the classification of energy states was carried out, and the allowed transitions in the energy spectra of C$_{50}$ and C$_{50}$Cl$_{10}$ molecules of symmetry group D$_{5h}$ were determined. On the basis of this spectrum, an interpretation of experimentally observed optical absorption bands of molecule C$_{50}$Cl$_{10}$ is proposed.

Keywords: Hubbard model, Green's functions, energy spectrum, nanosystems, C$_{50}$ fullerene.

Received: 14.12.2021
Revised: 14.12.2021
Accepted: 10.02.2022

DOI: 10.21883/OS.2022.08.52899.3029-21



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025