X-ray scattering by atoms by using the Thomas--Fermi model with quantum corrections

Using an accurate numerical solution of the Thomas---Fermi model with quantum-mechanical corrections, the author obtains a description of coherent and incoherent scattering of x rays by the inert gases, which is in excellent agreement with detailed Hartree---Fock calculations. The results are somewhat better than those given by the Thomas---Fermi---Dirac model, and are a substantial improvement over those given by the Thomas---Fermi model alone.