Effects of Lattice vibrations on Dynamical Diffraction of Electron and X-Rays

Abstract

The temperature dependence of the generalized scattering factor corrected for inelastic excitations in the crystal is studied theoretically for dynamical diffraction of X-rays and electrons. It is shown that the generalized scattering factors \(\varPhi_{h}{=}\varphi_{h}+C_{h0}\) for X-ray diffraction and χ h = V h + C h 0 ( Y ) for electron diffraction ( C h 0 and C h 0 ( Y ) are parts due to inelastic electronic excitations, respectively) are modified by the usual Debye-Waller factor, when the thermal motion is described with rigid-ion model and Einstein model.