4bstractsThe effect of damping factors on convergence to general stationary solutions in many-shell SCF theory is discussed using a first order perturbation analysis. Their bearing on the maximum overlap criterion is examined and a comparison made with Hartree damping. Examples are drawn from numerical experience with hole state and transition operator calculations, some of which lead to saddle point stationary conditions.

The method of a previous paper is applied to the numerical calculation of hole states of free atoms, in which one or more electrons have been removed from inner shells. The results are used in the interpretation of experimental data from ESCA and Auger spectroscopy, and in an analysis of the' equivalent core ' model.

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