RELATED UPPER AND LOWER BOUNDS TO ATOMIC BINDING-ENERGIES

The method proposed by Singh for the calculation of lower bounds to at omic binding energies has been generalized to encompass upper bounds a s well. The result is a pair of related matrix eigenvalue problems, co nstructed from similar sets of basic matrix elements, with the solutio n of one yielding the lower bound. and of the other, the upper bound. The upper bounds are identical to those calculated by the Rayleigh-Rit z method, which can be useful when the inversion of thy normalization matrix is ill-conditioned. The lower bounds are comparable with the be st available in the literature.