Algebraic models and quantum deformations in molecular thermodynamics

Lie-algebaic and quantum-algebraic techniques are used in the analysis of thermodynamic properties of molecules at high temperatures. In the framework of the algebraic models, the local anharmonic effects are described by a Morse-like potential, associated with the SU(2) algebra. The vibrational high-temperature properties, such as mean energy and specific heat, are studied in terms of the parameters of the algebraic models. The concept of a critical temperature associated with the anharmonic vibrations is introduced. q-bosons are applied to molecular thermodynamics. A quantum deformation, associated with the model is discussed and its effect on the thermodynamic properties is studied.