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A spectroscopic analysis of vibrational IR spectra of polymer phases of fullerene C70C8H8 by Lie algebraic technique

ASHIM KALYAN1,* , RUPAM SEN1, RAMENDU BHATTACHARJEE2

Affiliation

  1. Department of physics, S. S. College, Hailakandi- 788151, India
  2. Department of physics, Assam University, Silchar-788011, India

Abstract

Lie algebraic method is based on the idea of dynamic symmetry, which can be expressed in terms of U(2) Lie algebra. By applying algebraic techniques, an effective Hamiltonian operator can be obtained which conveniently describes the rovibrational degrees of freedom of the physical system. In this framework every C-C bond of the molecule is replaced by a corresponding Lie algebra and finally the Hamiltonian is constructed considering the interacting Casimir and Majorana operators. The fundamental stretching vibrational energy levels of Polymer Phases of C70C8H8 are then calculated using this Hamiltonian to fit the experimental results..

Keywords

Lie algebra, Vibrational spectra, C70C8H8.

Citation

ASHIM KALYAN, RUPAM SEN, RAMENDU BHATTACHARJEE, A spectroscopic analysis of vibrational IR spectra of polymer phases of fullerene C70C8H8 by Lie algebraic technique, Optoelectronics and Advanced Materials - Rapid Communications, 7, 11-12, November-December 2013, pp.1024-1028 (2013).

Submitted at: July 3, 2013

Accepted at: Nov. 7, 2013