Abstract
The shifted Tietz-Wei (sTW) oscillator is as good as traditional Morse potential in simulating the atomic interaction in diatomic molecules. By using the Pekeris-type approximation to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schr\"odinger equation with this typical molecular model via the exact quantization rule (EQR). The energy spectrum for a set of diatomic molecules ($NO \left(a^4\Pi_i\right)$, $NO \left(B^2\Pi_r\right)$, $NO \left(L'^2\phi\right)$, $NO \left(b^4\Sigma^{-}\right)$, $ICl\left(X^1\Sigma_g^{+}\right)$, $ICl\left(A^3\Pi_1\right)$ and $ICl\left(A'^3\Pi_2\right)$ for arbitrary values of $n$ and $\ell$ quantum numbers are obtained. For the sake of completeness, we study the corresponding wavefunctions using the formula method.
Highlights
By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, Jia et al [1] generated improved expressions for some wellknown potentials including Rosen–Morse, Manning–Rosen, Tietz and Frost–Musulin potential energy functions.These authors found that the well-known Tietz potential function is conventionally defined in terms of five parameters but it has only four independent parameters
The shifted Tietz–Wei oscillator is as good as traditional Morse potential in simulating the atomic interaction in diatomic molecules
By choosing the experimental values of the dissociation energy, equilibrium bond length and equilibrium harmonic vibrational frequency as inputs, the authors obtained the average deviations of the energies calculated with the potential model from the experimental data for five diatomic molecules, and find that no one of six three-parameter empirical potential energy functions is superior to the other potentials in fitting experimental data for all molecules examined
Summary
By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, Jia et al [1] generated improved expressions for some wellknown potentials including Rosen–Morse, Manning–Rosen, Tietz and Frost–Musulin potential energy functions.These authors found that the well-known Tietz potential function is conventionally defined in terms of five parameters but it has only four independent parameters. Abstract The shifted Tietz–Wei (sTW) oscillator is as good as traditional Morse potential in simulating the atomic interaction in diatomic molecules. By using the Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrodinger equation with this typical molecular model via the exact quantization rule (EQR).
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