  We suggest a new deformed Schioberg-type potential for diatomic molecules. We
show that it is equivalent to Tietz-Hua oscillator potential. We discuss how to
relate our deformed Schi\"oberg potential to Morse, to Deng-Fan , to the
improved Manning-Rosen, and to the deformed modified Rosen-Morse potential
models. We transform our potential into a proper form and use the
supersymmetric quantization to find a closed form analytical solution for the
ro-vibrational energy levels that are highly accurate over a wide range of
vibrational and rotational quantum numbers. We discuss our results using
4-diatomic molecules NO, O2, O2+, and N2. Our results turn out to compare
excellently with those from a generalized pseudospectral numerical method.
