Algebraic Approach to Molecular thermodynamics

TL;DR

This paper introduces an algebraic model using Lie algebra and symmetry techniques to analyze molecular vibrational thermodynamics, deriving thermodynamic functions and exploring critical temperature and quantum deformation effects.

Contribution

It presents a novel algebraic approach to molecular thermodynamics, linking Lie algebra methods with vibrational properties and thermodynamic analysis.

Findings

Derived vibrational partition function and thermodynamic functions.

Identified a critical temperature related to specific heat.

Provided a physical interpretation of quantum deformation.

Abstract

An algebraic model based on Lie-algebraic and discrete symmetry techniques is applied to the analysis of thermodynamic vibrational properties of molecules. The local anharmonic effects are described by a Morse-like potential and the corresponding anharmonic bosons are associated with the SU(2) algebra. A vibrational high-temperature partition function and the related thermodynamic functions are derived and studied in terms of the parameters of the model. The idea of a critical temperature is introduced in relation with the specific heat. A physical interpretation of a quantum deformation associated with the model is given.