The statistical properties of q-deformed Morse potential for some diatomic molecules

TL;DR

This paper derives a closed-form vibrational partition function for the q-deformed Morse potential, enabling analysis of thermodynamic properties of diatomic molecules and introducing the concept of a critical temperature.

Contribution

It provides a novel analytical expression for the q-deformed Morse vibrational partition function and explores its thermodynamic implications for diatomic molecules.

Findings

Q-deformed vibrational partition function plotted for H2, HCl, LiH, CO

Vibrational specific heat analyzed and a critical temperature T_C introduced

Thermodynamic functions derived from the partition function

Abstract

In this paper we present a closed-form expression of the vibrational partition function for the one-dimensional q-deformed Morse potential energy model. Through this function the related thermodynamic functions are derived and studied in terms of the parameters of the model. Specially, we plotted the q-deformed vibrational partition function, and vibrational specific heat for some diatomic molecule systems such as H2, HCl, LiH and CO. The idea of a critical temperature T_{C} is introduced in relation to the specific heat.