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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 solve the Schrödinger equation with the improved Tietz potential energy model in D spatial dimensions. The D-dimensional rotation–vibrational energy spectra have been obtained by using the supersymmetric shape invariance approach. The rotation–vibrational energies for the A1∑u+ and C 1 П u states of the Na 2 molecule increase as D increases in the presence of a fixed vibrational...
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