Ro-vibrational spectroscopy of molecules represented by a Tietz–Hua oscillator potential
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Accurate low and high-lying bound states of Tietz–Hua oscillator potential are presented. The radial Schrödinger equation is solved efficiently by means of the generalized pseudospectral method that enables optimal spatial discreti zation. Both \(\ell =0\) and rotational states are considered. Ro-vibrational levels of six diatomic molecules viz., H\(_2\), HF, N\(_2\), NO, O\(_2\), O\(_2^+\) are obtained with good accuracy. Most of the states are reported here for the first time. A detailed analysis of variation of eigenvalues with \(n, \ell \) quantum numbers is made. Results are compared with literature data, wherever possible. These are also briefly contrasted with the Morse potential results.