https://doi.org/10.1140/epjp/s13360-022-02526-9
Regular Article
Modeling of diatomic molecules with modified hyperbolical-type potential
1
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
2
Department of Pure and Applied Sciences, Taraba State Polytechnic, Suntai, P.M.B. 1030, Jalingo, Taraba State, Nigeria
Received:
5
August
2021
Accepted:
25
February
2022
Published online:
11
March
2022
The modified hyperbolical-type potential (MHTP) is constructed from the q-deformed second Pöschl-Teller like potential. The Varshni conditions were used to derive potential parameters of the MHTP. Some useful equations including bound state ro-vibrational energies and thermodynamic expressions are obtained for the MHTP. The MHTP is used to model experimental Rydberg–Klein–Rees data of six diatomic molecules of astrophysical relevance viz: SiF+ (X 1Σ+), O2+ (X 2Πg), N2+ (X 1Σg+), CO (X 1Σ+), ScI (B 1Π) and RbH (X 1Σ+). The average absolute deviation from the dissociation energy obtained for the diatomic molecules are: 0.0208, 1.4515, 0.7025, 0.3451, 0.0261 and 0.8925% respectively, suggesting that the MHTP is an excellent model for the diatomic molecules. Studies of thermodynamic properties of the MHTP shows that the Helmholtz free energy of SiF+ (X 1Σ+) diatomic ions decreases linearly with increasing temperature or upper bound vibrational quantum number of the system.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
