Armenian Journal of Physics

APPLICATION OF U(2) ALGEBRAIC MODEL IN THE STUDY OF STRETCHING VIBRATIONAL SPECTRA OF C50 AND C84 FULLERENES

Kalyan, Ashim and Sen, Rupam and Choudhury, Joydeep and Sarkar, Nirmal Kumar and Bhattacharjee, Ramendu (2011) APPLICATION OF U(2) ALGEBRAIC MODEL IN THE STUDY OF STRETCHING VIBRATIONAL SPECTRA OF C50 AND C84 FULLERENES. Armenian Journal of Physics, 4 (1). pp. 49-55. ISSN 1829-1171

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Abstract

The Hamiltonian describing the stretching vibrational spectra of polyatomic molecules is calculated within the framework of vibron model by using the dynamical U(2) Lie algebra. Here 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 the carbon C50 and C84 clusters are then calculated using this Hamiltonian to fit the experimental results.

Item Type:Article
Subjects:Physics > 81.Materials science
ID Code:336
Deposited By:Prof. Vladimir Aroutiounian
Deposited On:20 Jun 2011 16:47
Last Modified:03 Jul 2011 14:03

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