Analysis of Vibrational Spectra of Buckminsterfullerene (C60) Using the Lie Algebra

The stretching vibrational energies of Buckminsterfullerene (C 60 ) are calculated in the one-dimensional U(2) framework. The dynamical symmetry group of icosahedron (I h ) molecule was taken into consideration to construct the model Hamiltonian in this frame work. Casimir and Majorana invariant operators were also determined accordingly. Using the model Hamiltonian so constructed, we have calculated the local mode vibrational energy levels of Buckminsterfullerene (C 60 ) accurately.