Calculation of Electron Scattering Factors. I. Nonrelativistic Theory

Abstract

Scattering factors for the elastic scattering from uranium and argon of 40‐kV electrons have been obtained by partial wave analysis. In the case of argon both Thomas—Fermi—Dirac and Hartree—Fock fields were used in the calculation. For uranium, only the Thomas—Fermi—Dirac field was utilized. Various approximate techniques for obtaining the partial waves as well as direct numerical integration of the Schrödinger equation were employed. For the first time accurate numerical solutions of the electron scattering problem in the kilovolt energy range, within the framework of the usual nonrelativistic scattering theory, have been obtained. Uncertainties in the scattering factors and in the use of the various approximate techniques for obtaining partial waves are discussed.