Application of U(2) Algebraic Model in the Study of Stretching Vibrational Spectra of Large Fullerenes C180 and C240

In this study, the Hamiltonian describing the stretching vibrational spectra of fullerenes C-180 and C-240 are calculated within the framework of the vibron model by using the dynamical U(2) Lie algebra. Here, every C-C bond of the molecule is replaced by a corresponding Lie algebra and finally the Hamiltonian is constructed considering the interacting Casimir and Majorana operators. The fundamental stretching vibrational energy levels of the carbon cluster C-180 and C-240 are then calculated using this Hamiltonian to fit the semi-empirical MNDO calculation.