Premium
Relativistic correction of atomic scattering factors for high‐energy electron diffraction
Author(s) -
Lentzen Markus
Publication year - 2019
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273319012191
Subject(s) - scattering , physics , mott scattering , diffraction , electron scattering , atomic physics , scattering amplitude , electron , quadratic equation , electron diffraction , atomic number , coulomb , quantum electrodynamics , computational physics , quantum mechanics , small angle neutron scattering , mathematics , neutron scattering , geometry
Relativistic electron diffraction depends on linear and quadratic terms in the electric potential, the latter being neglected in the frequently used relativistically corrected Schrödinger equation. The quadratic electric potential term modifies atomic scattering amplitudes in particular for large‐angle scattering and backscattering. The respective correction increases with increasing scattering angle, increasing atomic number and increasing kinetic energy. Conventional tabulations for electron scattering and its large‐angle extrapolations can be amended in closed form by a universal correction based on the screened Coulomb potential squared.