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We present a closed-form expression of the vibrational partition function for the improved Tietz potential energy model. The vibrational partition functions for the improved Manning-Rosen potential and improved Rosen-Morse potential are easily deduced as two special cases. The obtained results are applicable to many issues in chemical physics and engineering.
We present an explicit expression of the vibrational partition function for the improved Manning-Rosen potential energy model. We give analytical expressions for the vibrational mean energy, vibrational specific heat, vibrational free energy, and vibrational entropy for diatomic molecules. The properties of these thermodynamic functions for the a3Σu+ state of the 7Li2 molecule are discussed in detail.
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