Coherent and Incoherent X-Ray Scattering by Bound Electrons. II. Three- and Four-Electron Atoms

Abstract

Atomic form factors and incoherent-scattering functions for the lithium and beryllium isoelectronic sequences through $Z=8\mathrm{}$ have been calculated with correlated ground-state wave functions. The form factors differ from Hartree-Fock values by 1-2% and differ from Hartree-Slater values by as much as 10%. The incoherent-scattering functions are much more dependent on correlation, with the values for neutral beryllium differing from the Hartree-Fock values by as much as 30% at very small values of the momentum transfer.