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Journal of Mathematical Chemistry

, Volume 53, Issue 6, pp 1325–1350 | Cite as

Spectroscopic study of some diatomic molecules via the proper quantization rule

  • Babatunde J. Falaye
  • Sameer M. Ikhdair
  • Majid Hamzavi
Original Paper

Abstract

Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on theoretical analysis and computational calculations. In this research, we apply the proper quantization rule in spectroscopic study of some diatomic molecules by solving the Schrödinger equation with two solvable quantum molecular potentials; Tietz-Wei and shifted Deng-Fan potential models for their approximate nonrelativistic energy states via an appropriate approximation to the centrifugal term. We show that the energy levels can be determined from its ground state energy. The beauty and simplicity of the method applied in this study is that, it can be applied to any exactly as well as approximately solvable models. The validity and accuracy of the method is tested with previous techniques via numerical computation for \(\hbox {H}_2\) and CO diatomic molecules. Our result also include energy spectrum of five different electronic states of NO and two different electronic state of ICl.

Keywords

Proper quantization rule Formula method Schrödinger equation Tietz-Wei diatomic molecular potential  Shifted Deng-Fan diatomic molecular potential 

Notes

Acknowledgments

We thank the kind referees for the positive enlightening comments and suggestions, which have greatly helped us in making improvements to this paper. In addition, BJF acknowledges eJDS (ICTP).

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Babatunde J. Falaye
    • 1
  • Sameer M. Ikhdair
    • 2
  • Majid Hamzavi
    • 3
  1. 1.Applied Theoretical Physics Division, Department of PhysicsFederal University LafiaLafiaNigeria
  2. 2.Department of Electrical EngineeringNear East UniversityNicosiaTurkey
  3. 3.Department of PhysicsUniversity of ZanjanZanjanIran

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