A Study of Vibrational Spectra of Fullerene C₇₀and C₈₀: An Algebraic Approach

Abstract

Using the Lie algebraic method, the stretching vibrational energies of fullerenes C 70 and C 80 are calculated in the one-dimensional U(2) framework. By constructing the model Hamiltonian with the help of Casimir and Majorana invariant operators in this frame work, we calculated the local mode vibrational energy levels of the fullerenes C 70 and C 80 .