A very routine but carefully prepared exercise in application of exact (viz., Gauss hypergeometric) solvability of radial Schr\"{o}dinger equations with Kratzer and modified Kratzer phenomenological potentials to evaluation of matrix elements needed, ini principle, for description of diatomic (viz., CO and NO) molecules. The sampled numerical results agree with the samples available in the literature. MR2639961 Oyewumi, K. J. Realization of the spectrum generating algebra for the generalized Kratzer potentials. Internat. J. Theoret. Phys. 49 (2010), no. 6, 1302--1316. 81V55