TITLE:
Systematic Approach to Compute the Vibrational Energy Levels of Diatomic Molecules
AUTHORS:
Mohammed Janati Idrissi, Abdelaziz Fedoul, Salaheddine Sayouri
KEYWORDS:
Morse Potential, Diatomic Molecule, Dissociation, Birge-Sponer
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.11,
November
24,
2020
ABSTRACT: In continuation of our previous paper of the anharmonic potentials analysis through the Floquet representation, we performed in this work a systematic calculation of the diatomic vibrational energy levels as well as the corresponding wave functions. The solution of Schrödinger equation according to Morse potential, which is a suitable model to describe the diatomic vibrational spectra, has been introduced; thus the explicit formulas to the second order have been established. As an illustration, the dissociation energies of some molecules species (i.e. ScN, LiH, Cl2 and NO) have been computed, as well as the wave functions and the corresponding probability densities, relating to the (ScN) molecule have been represented. Comparisons of our results with those of literature have been made.