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Spectroscopic study of some diatomic molecules via the proper quantization rule

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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.

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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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Authors and Affiliations

  1. Applied Theoretical Physics Division, Department of Physics, Federal University Lafia, P. M. B. 146, Lafia, Nigeria

    Babatunde J. Falaye

  2. Department of Electrical Engineering, Near East University, Mersin 10, Nicosia, Northern Cyprus, Turkey

    Sameer M. Ikhdair

  3. Department of Physics, University of Zanjan, Zanjan, Iran

    Majid Hamzavi

Authors
  1. Babatunde J. Falaye
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  2. Sameer M. Ikhdair
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  3. Majid Hamzavi
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Correspondence to Babatunde J. Falaye.

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Falaye, B.J., Ikhdair, S.M. & Hamzavi, M. Spectroscopic study of some diatomic molecules via the proper quantization rule. J Math Chem 53, 1325–1350 (2015). https://doi.org/10.1007/s10910-015-0491-9

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  • DOI: https://doi.org/10.1007/s10910-015-0491-9

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