Morse oscillator line intensities

in vibration-rotation bands for molecular bond modes

 

A. Belafhal*, A. El Moutassim

Laboratoire de Physique Nucléaire, Atomique et Moléculaire

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali,

B. P 20, 24000 El Jadida, Morocco

* Corresponding author. E-mail: belafhal@gmail.com

Received: 12 January 2012; revised version accepted: 10 May 2012

 

Abstract

     We present an analytical scheme to evaluate the Morse oscillator line intensities in vibration-rotation bands for molecular bond modes. This scheme presents the response of a molecular to an electromagnetic field. The purpose of this paper is to give, in Morse basis, the correction to the intensity which arises from the vibration-rotation interaction for molecular bond modes (of a diatomic molecule or X-H, X-D, X-O ... stretch in aromatic hydrocarbons) possessing mechanical anharmonicity, and electronic charge distributed about the nuclei. The analysis of the Morse oscillator line intensities in vibration-rotation bands have been carried out for the fundamental, 0-2, 0-3 and 1-2 vibrational transitions, if one employs Morse wave functions designated by ½v, J>, where v is the vibrational quantum number and J is the rotational one, and writes for the dipole moment the two expressions: m(r)=kre-r/r* and m(r)=m0+m1(r-re)+m2(r-re)2.

 

Keywords: Morse oscillator; Einstein coefficients; Vibration-rotation bands; Dipole moment.

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