Infrared-active Vibrational Modes of Fullerene C_7O

Abstract

Using the Lie algebraic method, the stretching fundamental IR active modes of vibrational energies of fullerenes C₇₀ 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 framework, we calculate the fundamental stretching IR active modes of vibration of fullerene C₇₀ and compare the results with theoretical and experimental values to show the precision of algebraic model.

Keywords:

• Lie algebra
• vibrational spectra
• fullerene
• Hamiltonian
• C₇₀