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Original Articles

Theoretical Vibrational Spectra of Carbon Fullerenes

Pages 318-328 | Received 29 Jul 2014, Accepted 21 Oct 2014, Published online: 30 Jul 2015
 

Abstract

This article investigates the stretching vibrational modes of carbon fullerenes (C24, C28, C32, and C50) by using one-dimensional U(2) algebra. Considering the molecular symmetry, the model Hamiltonian is constructed which is able to describe the fundamental “stretching modes” of the physical system with less number of algebraic parameters. The calculated energies find an excellent agreement with the theoretical data of harmonic force constant calculation.

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