Theory of Low-Energy Electron Diffraction in Angular Momentum and Momentum Representations

Abstract

A method of calculating the intensities of the diffracted waves in low-energy electron diffraction (LEED) by crystal surfaces is proposed. The method is based on the Born series for the diffraction amplitude in the momentum representation. The diffraction amplitude is calculated by an iteration scheme starting from the zeroth-order solution taking into account the forward-scattering exactly, which is dominant among the LEED processes.
Also Kambe’s ans Beeby’s theories in the angular momentum representation are derived by using the Lloyd pseudopotential used in his band theory and this derivation reveals a close relationship among Kambe’s Beeby’s and the present theories.