Photon-atom scattering is important in a variety of applications, but
scattering from a composite system depends on the accurate characteriz
ation of the scattering from an isolated atom or ion. We have been exa
mining the validity of simpler approximations of elastic scattering in
the light of second-order S-matrix theory. Partitioning the many-body
amplitude into Rayleigh and Delbruck components, processes beyond pho
toionization contribute. Subtracted cross sections for bound-bound ato
mic transitions and bound pair annihilation are required in anomalous
scattering factors for: (1) convergence of the dispersion integral; (2
) agreement with predictions of the more sophisticated S-matrix approa
ch; (3) satisfying the Thomas-Reiche-Kuhn sum rule. New accurate tabul
ations of anomalous scattering factors have been prepared for all Z, f
or energies 0-10000 keV, within the independent particle approximation
(IPA) using a Dirac-Slater model of the atom. Separately, experimenta
l atomic photoabsorption threshold information has been used to modify
these IPA predictions for improved comparison with experiment.