Calculation of Vibrational Energy Spectra of H 2 O Molecule by Nonlinear Quantum Theory

1996 ◽  
Vol 13 (9) ◽  
pp. 660-663 ◽  
Author(s):  
Xiang-rong Chen ◽  
Qing-quan Gou ◽  
Xiao-feng Pang
Keyword(s):  
Quantum Theory ◽  
Vibrational Energy ◽  
Energy Spectra ◽  
Nonlinear Quantum

Nonlinearly vibrational energy-spectra of molecular crystals

2000 ◽  
Vol 9 (2) ◽  
pp. 108-112 ◽  
Author(s):  
Pang Xiao-feng ◽  
Chen Xiang-rong
Keyword(s):  
Vibrational Energy ◽  
Molecular Crystals ◽  
Energy Spectra

Diatomic molecules energy spectra for the generalized Mobius square potential model

2020 ◽  
Vol 34 (21) ◽  
pp. 2050209
Author(s):  
U. S. Okorie ◽  
A. N. Ikot ◽  
M. U. Ibezim-Ezeani ◽  
Hewa Y. Abdullah
Keyword(s):  
Dissociation Energy ◽  
Approximation Scheme ◽  
Potential Model ◽  
Vibrational Energy ◽  
Diatomic Molecules ◽  
Energy Spectra ◽  
Equilibrium Bond Length ◽  
Quantum Numbers ◽  
Vibrational Energies ◽  
Potential Parameters

The modified version of the generalized Mobius square (GMS) potential has been obtained by employing the dissociation energy and equilibrium bond length as explicit parameters. The potential parameters have been defined in terms of the molecular parameters. The modified GMS potential has also been used to model internuclear interaction potential curves for different states of diatomic molecules. Also, we have obtained the rotational–vibrational energy spectra of the new GMS potential model, both analytically and numerically for the different diatomic molecules. This was done by employing a Pekeris-type approximation scheme and an appropriate coordinate transformation to solve the Schrodinger equation. Our results have been compared with the experimental Rydberg–Klein–Rees (RKR) data and its corresponding average absolute deviations in terms of the dissociation energy computed. The effects of the vibrational and rotational quantum numbers on the rotational–vibrational energies for the different states of the various diatomic molecules have also been discussed. This paper has shown to be highly relevant to the studies of thermodynamic and thermochemical functions of diatomic molecules.

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