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Spectroscopic techniques are very essential tools in studying electronicstructures, spectroscopic constants and energetic properties of diatomicmolecules. These techniques are also required for parametrization of new methodbased on theoretical analysis and computational calculations. In this research,we apply the proper quantization rule in spectroscopic study of some diatomicmolecules by solving the Schr\"odinger equation with two solvable quantummolecular systems-Tietz-Wei and shifted Deng-Fan potential models for theirapproximate nonrelativistic energy states via an appropriate approximation tothe centrifugal term. We show that the energy levels can be determined from itsground state energy. The beauty and simplicity of the method applied in thisstudy is that, it can be applied to any exactly as well as approximatelysolvable models. The validity and accuracy of the method is tested withprevious techniques via numerical computation for H$_2$ and CO diatomicmolecules. The result also include energy spectrum of 5 different electronicstates of NO and 2 different electronic state of ICl.

Spectroscopic study of some diatomic molecules via the proper quantization rule