Energy Spectrum and Optical Properties of Bromide Fullerene C70Br10 within the Hubbard Model
Silant'ev A. V. 1
1Mari State University, Yoshkar-Ola, Russia
Email: kvvant@rambler.ru

PDF
The energy spectrum of molecule C70Br10 of symmetry group Cs 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 spectrum of bromide fullerene C70Br10 of symmetry group Cs were determined. On the basis of this spectrum, an interpretation of experimentally observed optical absorption bands of molecule C70Br10 is proposed. Keywords: Hubbard model, Green's functions, energy spectrum, nanosystems, C70, C70Br10. DOI: 10.61011/EOS.2023.04.56362.4138-22
  1. A.V. Silantyev. FTT, 65 (1), 157 (2023). (in Russian). DOI: 10.21883/FTT.2023.01.53939.470 [A.V. Silant'ev. Physics of the Solid State, 65 (1), 151 (2023). DOI: 10.21883/PSS.2023.01.54990.470]
  2. H.W. Kroto, J.R. Heath, S.C. O'Brien, R.F. Curl, R.E. Smalley. Nature, 318, 162 (1985). DOI: 10.1038/318162a0
  3. R. Tycko, R.C. Haddon, G. Dabbagh, S.H. Glarum, D.C. Douglass, A.M. Mujsce. J. Phys. Chem., 95 (2), 518 (1991). DOI: 10.1021/j100155a006
  4. P.R. Birkett, P.B. Hitchcock, H.W. Kroto, R. Taylor, D.R.M. Walton. Nature, 357, 479 (1992). DOI: 10.1038/357479a0
  5. A.A. Tuinman, P. Mukherjee, J.L. Adcock, R.L. Hettich, R.N. Compton. J. Phys. Chem., 96, 7584 (1992). DOI: 10.1021/j100198a019
  6. N. Liu, H. Touhara, Y. Mono, D. Komichi, F. Okino, S. Kawasaki. J. Electrochem. Soc., 143, L214 (1996). DOI: 10.1149/1.1837091
  7. S.I. Troyanov, A.A. Popov. Angew. Chem. Int. Ed., 44, 4215 (2005). DOI: 10.1002/ange.200500476
  8. G. Waidmann, M. Jansen. Z. Anorg. Allg. Chem., 62, 623 (1997). DOI: 10.1002/zaac.19976230198
  9. Y. Yang, F.H. Wang, Y.S. Zhou, L.F. Yuan, J. Yang. Phys. Rev. A, 71, 013202 (2005). DOI: 10.1103/PhysRevA.71.013202
  10. E.V. Polunkin, T.M. Kameneva, V.S. Pilyavsky, R.S. Zhila, O.A. Gaidai, P.A. Troshin. Kataliz i Neftekhimiya, 20, 70 (2012) (in Russian)
  11. K.N. Semenov, N.A. Charykov, V.A. Keskinov, D.G. Letenko, V.A. Nikitin. Russ. J. Gen. Chem., 83, 583 (2013). DOI: 10.1134/S1070363213040117
  12. S.I. Troyanov, A.A. Popov, N.I. Denisenko, O.V. Boltalina, L.N. Sidorov, E. Kemnitz. Angew. Chem. Int. Ed., 42, 2395 (2003). DOI: 10.1002/ange.200351132
  13. J. Hubbard. Proc.Roy.Soc. London A, 276, 238 (1963). DOI: 10.1098/rspa.1963.0204
  14. A.V. Silant'ev. Opt. Spectrosc., 130 (2), 73 (2022). DOI: 10.1134/S0030400X22010131
  15. A.V. Silant'ev. Opt. Spectrosc., 124 (2), 155 (2018). DOI: 10.1134/S0030400X18020157
  16. A.V. Silant'ev. Phys. Met. Metallogr., 118 (1), 1 (2017). DOI: 10.1134/S0031918X16100112
  17. A.V. Silant'ev. Opt. Spectrosc., 130 (8), 924 (2022). DOI: 10.21883/EOS.2022.08.54763.3029-21
  18. A.V. Silant'ev. Opt. Spectrosc., 127 (2), 190 (2019). DOI: 10.1134/S0030400X19080265
  19. A.V. Silant'ev. Phys. Met. Metallogr., 121 (6), 501 (2020). DOI: 10.1134/S0031918X20060149
  20. A.V. Silant'ev. Phys. Met. Metallogr., 122 (4), 315 (2021). DOI: 10.1134/S0031918X21040098
  21. A.V. Silant'ev. Phys. Met. Metallogr., 121 (3), 195 (2020). DOI: 10.1134/S0031918X20010160
  22. A.V. Silant'ev. Phys. Met. Metallogr., 119 (6), 511 (2018). DOI: 10.1134/S0031918X18060133
  23. G.S. Ivanchenko, N.G. Lebedev. Phys. Solid State, 49 (1), 189 (2007). DOI: 10.1134/S1063783407010301
  24. E. Lib, F.Y. Wu. Phys. Rev. Lett., 20, 1445 (1968). DOI: 10.1142/9789812798268_0001
  25. R.A. Harris, L.M. Falicov. J. Chem. Phys., 51, 5034 (1969). DOI: 10.1063/1.1671900
  26. A.V. Silant'ev. Russ. Phys. J., 57, 1491 (2015). DOI: 10.1007/s11182-015-0406-z
  27. Yu.A. Izyumov, M.I. Katsnelson, Yu.N. Skryabin. Magnetizm kollektivizirovannykh elektronov (Nauka, M., 1994) (in Russian)
  28. S.V. Tyablikov. Methods in the Quantum Theory of Magnetism, 2nd edition, (Nauka, M, 1975, Plemunn N.Y. 1967)
  29. A.V. Silant'ev. J. Exp. Theor. Phys., 121 (4), 653 (2015). DOI: 10.1134/S1063776115110084
  30. R. Hochstrasser. Molecular Aspects of Symmetry (W.A. Benjamin, N.Y., 1966)
  31. K.N. Semenov, N.A. Charykov, A.S. Kritchenkov. J. Chem. Eng. Data, 58, 570 (2013). DOI: 10.1021/je3010744
  32. Ya. Mikusinsky. Operatornoye ischisleniye (IL, M., 1956) (in Russian)
  33. R.S. Guter, A.R. Yanpolsky. Differentsial'nyye uravneniya (Vysshaya Shkola, M., 1976) (in Russian)
  34. A.G. Kurosh. Kurs vysshey algebry, 2-3 izd. (Nauka, M., 1975) (in Russian)
  35. H. Bateman, A. Erdane. Tables of integral transforms. Vol. 1 (MCGRAW-HILL BOOK COMPANY, London, 1954).

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru