Energy Spectrum and Optical Absorption Spectrum of Fullerene C24 within the Hubbard Model

Energy Spectrum and Optical Absorption Spectrum of exohedral Fullerene C-=SUB=-50-=/SUB=-Cl-=SUB=-10-=/SUB=- within the Hubbard Model

“…To do so, using the Hamiltonian (1) and the Schlegel diagram of the Fig. 1, as it is in the papers [10][11][12][13][14][15][16][17], we write motion equations in SFA for the c + 1σ (τ ),…”

“…The Hubbard model [20] is commonly used to characterized the electron properties of the carbon fullerenes and nanotubes [10][11][12][13][14][15][16][17][18][19].…”

“…the fullerene C 28 with the T d symmetry group [14], the fullerene C 26 with the D 3h symmetry group [15], the fullerene C 24 with the O h , D 6 and D 6d symmetry groups [16] and the fullerene C 20 with the I h , D 5d and D 3d symmetry groups [17], while the paper…”

Energy Spectrum and Optical Absorption Spectra of exohedral Fullerene C-=SUB=-70-=/SUB=-Br-=SUB=-10-=/SUB=- within the Hubbard Model

“…From the Schlegel diagram, which is shown in Fig. 2, it can be seen that the fullerene C 70 with the symmetry group D 5h has eight unequal bonds, denoted by the letters a, b, c, d, e, f , g, h; and five groups of nonequivalent carbon atoms: G 1 = {1, 2, 3, 4, 5, 62, 63, 66, 67, 70}, G 2 = {6, 9, 12, 15, 18, 61, 64, 65, 68, 69}, G 3 = {7, 8, 10,11,13,14,16,17,19,20,43,44,47,48 The G 1 set includes atoms, which are at vertices of junction of the two hexagons and one pentagon and, furthermore, each of these atoms has one adjacent neighbor of the same G 1 set. To the set G 2 belong to atoms that are located at the vertices of the junction of two hexagons and one pentagon, and each of them has no nearest neighbors from the same set G 2 .…”

“…The Hubbard model [27] is commonly used to characterized the electron properties of the carbon fullerenes and nanotubes [16][17][18][19][20][21][22][23][24][25][26]. Within the framework of this model, the energy spectra and optical absorption spectra of fullerene were obtained in the approximation of static fluctuations (ASF).…”