Pure vibrational state energies and statistical-mechanical models for the reparameterized scarf oscillator

In this work, the reparameterized Scarf II oscillator was employed to describe internal vibration of diatomic systems. Analytical equations for bound state pure vibrational energies and canonical partition function were obtained. The used derive statistical-mechanical models prediction molar entropy, enthalpy, Gibbs free energy constant pressure (isobaric) heat capacity gaseous substances. obtained model generate numerical data on eigenvalues and, investigate thermodynamic properties ground states chloroborane (BCl), bromine fluoride (BrF), chloride (BrCl) molecules. With aid expression entropy system, average absolute deviations molecules are 0.1878%, 0.1267%, 0.0586% from experimental data. isobaric yields deviation 2.1608%, 1.8601%, 1.9805%. results in good agreement with available literature molecule. work could be applicable fields molecular physics, chemical solid-state physics engineering.