Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

Abstract

An approximate solution of the Schrӧdinger equation for a molecular attractive potential was obtained using the parametric Nikiforov–Uvarov method. The energy equation and the corresponding radial wave functions were calculated. The effects of the potential parameters on the energy eigenvalues were examined. The thermal properties under the molecular attractive potential were calculated and the behaviour of the thermal properties with the maximum quantum state (λ) and the temperature parameter (β) respectively, were studied. Using the molecular spectroscopic parameters, the Rydberg–Klein–Rees (RKR) of cesium dimer and lithium dimer were both obtained and compared with the experimental values. The RKR values of both cesium dimer and lithium dimer calculated aligned with the observed values. The deviation and average deviation of the RKR for each molecule were also calculated.

The Study of Electronic States of Ni and ScI Molecules with Screened Kratzer Potential

“…Furthermore, Edet and Ikot [27] studied some DMs with Deng-Fan plus Eckart potentials. Apart from the above studies, the energies for cesium molecule, sodium dimer, nitrogen dimer, hydrogen molecules, and potassium with the improved Rosen-Morse, Morse, Tietz-Hua oscillator, and improved Poschl-Teller oscillator potentials have been calculated and the results for each molecule was seen to agree with the experimental data [28][29][30][31]. Motivated by the success of their reports, we seek to obtain the energies for 3    state of NI and 1 X   state of ScI molecules.…”

Eigen-solutions and thermal properties of multi-parameter exponential potential

“…Because of their numerous applications in chemical, physical, and molecular spectroscopy, many diatomic molecular potentials have been used to study bound state solutions of both relativistic and non-relativistic wave equations. Meanwhile, a thorough understanding of molecular structure is dependent on the atom's inter-nuclear interactions and the molecular potential model under consideration [ 1 ]. The Deng-Fan potential [ 2 ], Tietz-Wei potential model [ 3 ], Improved deformed four parameter exponential potential [ 4 ], Tietz-Hua potential [ 5 , 6 , 7 ], Morse and Modified Morse potential [ 8 ], Deng-Fan-Eckart potential [ 9 ], Molecular attractive potential model [ 1 ], Mobius square plus Screened Kratzer potential [ 10 ], Four parameter potential [ 11 ], Varshni potential [ 12 , 13 ], New generalized Morse-like potential exists in various forms in all of these potential models.…”

“…Meanwhile, a thorough understanding of molecular structure is dependent on the atom's inter-nuclear interactions and the molecular potential model under consideration [ 1 ]. The Deng-Fan potential [ 2 ], Tietz-Wei potential model [ 3 ], Improved deformed four parameter exponential potential [ 4 ], Tietz-Hua potential [ 5 , 6 , 7 ], Morse and Modified Morse potential [ 8 ], Deng-Fan-Eckart potential [ 9 ], Molecular attractive potential model [ 1 ], Mobius square plus Screened Kratzer potential [ 10 ], Four parameter potential [ 11 ], Varshni potential [ 12 , 13 ], New generalized Morse-like potential exists in various forms in all of these potential models. The various forms of the Morse potential, on the other hand, have been used to investigate the physical behavior of semiconductor surfaces and interfaces [ 14 , 15 , 16 ].…”

Eigensolution to Morse potential for Scandium and Nitrogen monoiodides

“…However, some potential energy function that can explain various diatomic molecules in good agreement with experimental data have been proposed based on the experimental constants such as the dissociation energy and equilibrium bond length, e.g. Deng-Fan, Improved Rosen-Morse, Morse, Tietz-Hua oscillator, improved generalized Poschl-Teller oscillator [8][9][10][11][12][13]. The energies of these potential functions were calculated for cesium molecule, sodium dimer, nitrogen dimer, hydrogen molecule and potassium.…”