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A study of the stretching vibrational spectra of fullerene dimers C60O and C60O2 by U(2) Lie algebra

RUPAM SEN1,*

Affiliation

  1. Department of Physics, Srikishan Sarda College, Hailakandi, Assam, India

Abstract

The vibrational energy levels of the fullerene dimers C60O and C60O2 were calculated considering the local Hamiltonian of the Morse potential using algebra. Here, each bond of the molecules was replaced by a corresponding Lie algebra and finally the Hamiltonian was constructed considering the interacting Casimir and Majorana operators. The fundamental stretching modes of vibration of both dimers C60O and C60O2 were then calculated using the algebraic Hamiltonian. This study leads to explore few fundamental hitherto unknown vibrational energy levels of both the fullerene dimers..

Keywords

C60O, C60O2, Casimir and Majorana operators, Lie algebra.

Citation

RUPAM SEN, A study of the stretching vibrational spectra of fullerene dimers C60O and C60O2 by U(2) Lie algebra, Optoelectronics and Advanced Materials - Rapid Communications, 10, 7-8, July-August 2016, pp.569-573 (2016).

Submitted at: Aug. 31, 2015

Accepted at: Aug. 3, 2016