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Modified Morse Potential for Diatomic Molecules

Lee¹, Kalotas, Adams

¹Physics Department, La Trobe University, Bundoora, Victoria, 3083, Australia

Journal of Molecular Spectroscopy

|December 16, 1998

Summary

A modified Morse potential offers greater flexibility for fitting molecular vibrational energy data. This enhanced diatomic potential accurately calculates quantum vibrational levels for nitrogen molecules.

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Area of Science:

Physical Chemistry
Quantum Mechanics
Spectroscopy

Background:

The Morse potential is a widely used model for diatomic molecular vibrations.
Accurate fitting of experimental vibrational energy data is crucial for understanding molecular behavior.
Existing models may lack the flexibility to precisely match complex vibrational spectra.

Purpose of the Study:

To introduce a modified diatomic potential function with enhanced flexibility.
To improve the fitting of experimental vibrational energy-gap data.
To apply the new potential to calculate quantum vibrational levels for a specific molecule.

Main Methods:

Development of a modified Morse potential incorporating a variable, radially dependent exponent.
Parameterization of the modified potential using a minimal set of constants.
Application of the potential to compute vibrational energy levels using quantum mechanical methods.

Main Results:

The modified Morse potential closely approximates the standard Morse function while offering improved fitting capabilities.
The method successfully calculates the quantum vibrational levels for the X1Sigma+g ground electronic state of the N2 molecule.
The introduced flexibility is achieved with a manageable number of adjustable parameters.

Conclusions:

The proposed diatomic potential provides a more adaptable alternative to the standard Morse function for spectroscopic applications.
This approach enables more accurate predictions of molecular vibrational energy levels.
The method demonstrates practical utility in the quantum mechanical analysis of molecular states.

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