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Ro-vibrational energies of CO molecule via improved generalized Pöschl–Teller potential and Pekeris-type approximation

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Abstract

The improved form of the generalized Pöschl–Teller potential (GPT) has been introduced to discuss diatomic molecules. Schrödinger equation has been solved for the improved generalized Pöschl–Teller (IGPT) potential by applying a new Pekeris-type approximation to the centrifugal term, and then the rotational–vibrational energy eigenvalue equation has been obtained. By using this ro-vibrational energy eigenvalue equation, firstly, we have calculated the vibrational energies of the \(X^{1}\Sigma ^{+}\) state of CO molecule and compared them with the experimental Rydberg–Klein–Rees (RKR) data and theoretical results obtained by using Morse, improved Tietz and improved Pöschl–Teller potentials. It has been showed that the IGPT potential is one of the best potential energy function in fitting experimental RKR data for \(\hbox {CO}(X^{1}\Sigma ^{+})\) molecule. Secondly, we have obtained the maximum possible ro-vibrational energies of \(\hbox {CO}(X^{1}\Sigma ^{+})\) molecule by using the IGPT potential. Also, it has been proved that the Pekeris-type approximation should be used for the centrifugal term instead of Greene–Aldrich approximation in order to get most probable (or more accurate) ro-vibrational energies for the carbon monoxide molecule.

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Author information

Authors and Affiliations

  1. Mersin, Turkey

    Hilmi Yanar

  2. Opticianry Programme, Health Services Vocational College, Harran University, Şanlıurfa, Turkey

    Ahmet Taş

  3. Department of Physics, Faculty of Arts and Science, Mersin University, 33143, Mersin, Turkey

    Mustafa Salti & Oktay Aydogdu

Authors
  1. Hilmi Yanar
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  2. Ahmet Taş
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  3. Mustafa Salti
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  4. Oktay Aydogdu
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Correspondence to Hilmi Yanar.

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Yanar, H., Taş, A., Salti, M. et al. Ro-vibrational energies of CO molecule via improved generalized Pöschl–Teller potential and Pekeris-type approximation. Eur. Phys. J. Plus 135, 292 (2020). https://doi.org/10.1140/epjp/s13360-020-00297-9

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