  The Tietz-Hua (TH) potential is one of the very best analytical model
potentials for the vibrational energy of diatomic molecules. By using the
Nikiforov-Uvarov (NU) method, we have obtained the exact analytical s-wave
solutions of the radial Schr\"odinger equation (SE) for the TH potential. The
energy eigenvalues and the corresponding eigenfunctions are calculated in
closed forms. Some numerical results for diatomic molecules are also presented.
