# Incorrectness of analytical solution of Schrodinger equation for diatomic molecule with shifted Tietz-Wei potential

## TL;DR

This paper demonstrates that the previously reported analytical solution for the Schrödinger equation with the shifted Tietz-Wei potential in diatomic molecules is incorrect, leading to invalid thermodynamic property calculations.

## Contribution

It critically analyzes and refutes the correctness of an existing analytical solution for the Schrödinger equation with the shifted Tietz-Wei potential.

## Key findings

- Previous solution is mathematically incorrect.
- Thermodynamic properties derived from the incorrect solution are invalid.
- Highlights the need for correct analytical methods in molecular quantum mechanics.

## Abstract

It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential, A N Ikot, W Azogor, U S Okorie, F E Bazuaye, M C Onjeaju, C A Onate and E O Chukwuocha, Indian Journal of Physics, 2019, is incorrect; the analytical expressions for the rotational-vibrational energy spectrum for diatomic molecule obtained from the incorrect analytical solution of the Schrodinger equation is incorrect; and free energy, internal energy, entropy and specific heat of cesium dimer at the electronic state calculated from the incorrect expression for the rotational-vibrational energy spectrum are incorrect.

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Source: https://tomesphere.com/paper/1902.04977