Abstract
The energy spectrum of the fullerene C72 has been calculated in terms of the Shubin-Vonsovskii-Hubbard model. Based on this spectrum, the spectrum of the optical absorption of the endohedral fullerene Ca@C72 has been calculated. The spectrum of the optical absorption agrees well with the experimental data. This suggests that all absorption bands in the range of 0–3 eV in endohedral fullerene can be explained by the purely electronic transitions in the subsystem of π electrons.
Similar content being viewed by others
References
A. R. Khamatgalimov and V. I. Kovalenko, “Endohedral highest metallofullerens: Structure and properties,” Ross. Khim. Zh. 48, 28–36 (2004).
S. Stevenson, P. Burbank, K. Harich, Z. Sun, and H. C. Dorn, “Metal-mediated stabilization of a carbon cage,” J. Phys. Chem. 102, 2833–2837 (1998).
E. G. Rakov, Nanotubes and Fullerens (Fizmatkniga, Moscow, 2006) [in Russian].
P. W. Wallace, “The band theory of graphite,” Phys. Rev. 71, 622–634 (1947).
D. A. Bochvar and E. G. Gal’pern, “On hypothetic systems: Carbododecahedron, s-icosahedron, and carbo-s-icosahedron,” Dokl. Akad. Nauk SSSR 209, 610–612 (1973).
R. S. Haddon, “Electronic structure, conductivity and superconductivity of alkali metal doped (C60),” Acc. Chem. Res. 25, 127–133 (1992).
T. O. Wehling, E. Sasioglu, C. Friedrich, A. I. Lichtenstein, M. I. Katsnelson, and S. Blugel, “Strength of effective Coulomb interactions in graphene and graphite,” Phys. Rev. Lett. 106, 236805 (2011).
G. I. Mironov and A. I. Murzashev, “Energy spectrum of C60 fullerene,” Phys. Solid St. 53, 2393–2397 (2011).
R. R. Nigmatullin, A. A. Khamzin, and I. I. Popov, “Thermodynamics of an interacting Fermi system in the static fluctuation approximation,” J. Exp. Theor. Phys. (JETP) 114, 314–323 (2012).
V. V. Loskutov, G. I. Mironov, and R. R. Nigmatullin, “Static fluctuation approximation for Hubbard model,” Fiz. Nizk. Temp. 22, 282–288 (1996).
G. I. Mironov, “The B-B’-U Hubbard model in the approximation of static fluctuations,” Phys. Solid State 41, 864–869 (1999).
A. I. Murzashev, “A study of carbon nanosystems using the Hubbard model,” J. Exp. Theor. Phys. (JETP) 108, 111–120 (2009).
J. Hubbard, “Electron correlations in narrow energy bands,” Proc. R. Soc. Lond., Ser. A 276, 238–257 (1963).
S. V. Tyablikov, Methods of Quantum Theory in Magnetism (Nauka, Moscow, 1975) [in Russian].
Yu. A. Izyumov, “Strongly correlated electrons: The t-J model,” Phys.-Usp. 40, 445–476 (1997).
A. V. Eletskii, “Endohedral structures” Phys.-Usp. 43, 111–137 (2000).
P. V. Kamat, D. M. Guldi, and K. M. Kadish, FULLERENES: Recent Advances in the Chemistry and Physics of Fullerenes and Related Materials The Electrochemical Society, Pennington, New Jersey, 1999).
T. Ichikawa, T. Kodama, S. Suzuki, R. Fujii, H. Nishikawa, I. Ikemoto, K. Kikuchi, and Y. Achiba, “Isolation and characterization of a new isomer of Ca@C72,” Chem. Lett. 33(8), 1008–1009 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.I. Murzashev, T.E. Nazarova, 2014, published in Fizika Metallov i Metallovedenie, 2014, Vol. 115, No. 7, pp. 675–681.
Rights and permissions
About this article
Cite this article
Murzashev, A.I., Nazarova, T.E. Energy spectrum and spectrum of optical absorption of endohedral fullerene Ca@C72 . Phys. Metals Metallogr. 115, 635–641 (2014). https://doi.org/10.1134/S0031918X14040103
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0031918X14040103