# On Exact analytical calculations of thermodynamic functions of gaseous   substances, R. Khordad, A. Avazpour, and A. Ghanbari, Chemical Physics 517   (2019) 30

**Authors:** Ikhtier Umirzakov

arXiv: 1902.04989 · 2019-02-14

## TL;DR

This paper critically examines previous analytical calculations of thermodynamic functions for gaseous molecules and demonstrates that the earlier derived expressions for energy levels and thermodynamic properties are incorrect.

## Contribution

It provides a detailed analysis showing the inaccuracies in prior exact solutions of the Schrödinger equation for molecules with the improved Tietz potential.

## Key findings

- Previous analytical expressions are incorrect
- The paper clarifies the correct approach to calculating thermodynamic functions
- Highlights the need for revised methods in molecular thermodynamics

## Abstract

It is shown that that the exact solution of the Schrodinger equation for the molecule consisting of two atoms interacting via improved Tietz potential, the analytical expressions for the energy of the rotational-vibrational levels, partition function, free energy, mean energy and specific heat, obtained from the solution in the paper Exact analytical calculations of thermodynamic functions of gaseous substances", R. Khordad, A. Avazpour, and A. Ghanbari, Chemical Physics 517 (2019) 30, are incorrect.

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Source: https://tomesphere.com/paper/1902.04989