https://doi.org/10.1140/epjp/s13360-022-02931-0
Regular Article
Entropy and Gibbs free energy equations for the specialized Pöschl–Teller potential
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
Received:
19
April
2022
Accepted:
7
June
2022
Published online:
1
July
2022
In this paper, the specialized Pöschl–Teller potential is used to fit the internal vibration of a diatomic molecule. Analytical expression of partition function obtained for the system is used to derive equations of molar entropy and Gibbs free energy. The equations were used to study the thermodynamic properties of the ground states: F2, HI, I2, and KH diatomic molecules. Average absolute deviations of 0.3400%, 0.1619%, 0.5561%, and 0.3533% were obtained using the expression of molar entropy. The formula of reduced Gibbs free energy gave average absolute deviation of 0.1011%, 0.4355%, 0.2619%, and 0.2701% from the experimental data. The obtained results are in near total agreement with existing literature data on the examined diatomic molecules.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
