On the ro–vibrational energies for the lithium dimer; maximum-possible rotational levels

Abstract

The Deng-Fan potential is used to discuss the reliability of the improved Greene-Aldrich approximation and the factorization recipe of Badawi et al. 's [17] for the central attractive/repulsive core J (J + 1) /2µr2 . The factorization recipe is shown to be a more reliable approximation and is used to obtain the ro-vibrational energies for the a 3 Σ + u -7 Li2 dimer. For each vibrational state only a limited number of the rotational levels are found to be supported by the a 3 Σ + u -7 Li2 dimer.

Improved multiparameter exponential‐type potential for diatomic molecules

“…[3] The emergence of the improved Tietz potential and its special cases has attracted great attention in the physical and chemical community due to a combination of simple forms and effective applications, including relativistic and nonrelativistic treatments of molecular vibrational energies and predictions of thermochemical quantities for some diatomics. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] Through the introduction of the dissociation energy and equilibrium bond length as direct parameter identifications, we have overcome the fault that the potential parameters appearing in the original MPETP given in Equation (1) lack explicit physical definitions. With the help of Equations (4) and (11), we obtain the following two expressions for calculations of the values of parameters k and q, [3]…”

“…Based on this manipulation, we can further represent the MPETP as the following improved form, This improved version tells us that the MPETP is entirely identical to the Tietz potential for diatomic molecules . The emergence of the improved Tietz potential and its special cases has attracted great attention in the physical and chemical community due to a combination of simple forms and effective applications, including relativistic and nonrelativistic treatments of molecular vibrational energies and predictions of thermochemical quantities for some diatomics . Through the introduction of the dissociation energy and equilibrium bond length as direct parameter identifications, we have overcome the fault that the potential parameters appearing in the original MPETP given in Equation lack explicit physical definitions.…”

Improved Pöschl-Teller potential energy model for diatomic molecules

“…The improved empirical potential functions are convenient for practical applications, including modeling interatomic interaction potential energy curve, calculations of relativistic rotational‐vibrational levels for diatomic molecules, and calculating thermodynamic properties of diatomic molecules . The recent works in the aspect of constructing improved empirical potentials have aroused much interest for many authors in chemistry and physics …”

A new deformed Schiöberg-type potential and ro-vibrational energies for some diatomic molecules

“…Mustafa [20] has very recently shown (through a quantitative brut-force numerical test) that the factorization recipe…”