Tabulations are presented of the atomic form factor,F(&agr;,Z), and the incoherent scattering function,S(x,Z), for values ofx(=sin &Vthgr;/2)/&lgr;) from 0.005 A˚−1to 109A˚−1, for all elementsA=1 to 100. These tables are constructed from available state‐of‐the‐art theoretical data, including the Pirenne formulas forZ=1, configuration‐into action results by Brown using Brown‐Fontana and Weiss correlated wavefunctions forZ=2 to 6 non‐relativistic Hartree‐Fock results by Cromer forZ=7 to 100 and a relativisticK‐shell analytic expression forF(x,Z) by Bethe Levinger forx≳10 A˚−1for all elementsZ=2 to 100. These tabulated values are graphically compared with available photon scattering angular distribution measurements. Tables of coherent (Rayleigh) and incoherent (Compton) total scattering cross sections obtained by numerical integration over combinations ofF2(x,Z) with the Thomson formula andS(x,Z) with the Klum‐Nishina Formual, respectively, are presented for all elementsZ=1 to 100, for photon energies 100 eV (&lgr;=124 A˚) to 100 MeV (0.000124 A˚). The incoherent scattering cross sections also include the radiative and double‐Compton corrections as given by Mork. Similar tables are presented for the special cases of terminally‐bonded hydrogen and for the H2molecule, interpolated and extrapolated from values calculated by Stewart et al., and by Bentley and Stewart using Kolos‐Roothaan wavefunctions.