- The analytic solutions of the spatially-dependent mass Schrodinger equation of diatomic molecules with the centrifugal term l(l + 1)/r(2) for the generalized q-deformed Morse potential are obtained approximately by means of a parametric generalization of the Nikiforov-Uvarov (NU) method combined with the Pekeris approximation scheme. The energy eigenvalues and the corresponding normalized radial wave functions are calculated in closed form with a physically motivated choice of a reciprocal Morse-like mass function, m(r) = m(0)/(1 - delta e(-a(r-re)))(2), 0 <= delta < 1, where a and r(e), are the range of the potential and the equilibrium position of the nuclei. The constant mass case when delta -> 0 is also studied. The energy states for H(2), LiH, HCl and CO diatomic molecules are calculated and compared favourably well with those obtained by using other approximation methods for arbitrary vibrationaln and rotational I quantum numbers. (C) 2009 Elsevier B.V. All rights reserved.
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