Test solution of the inverse problem for the determination of pair correlation function in the secondary electron extended fine structure technique

Abstract

A spectrum of the secondary electron extended fine structure (SEFS) above the M 2,3VV Auger line of a Cu (111) single crystal has been obtained. The solution of an inverse problem has been calculated for the experimental SEFS spectrum and the pair correlation function (PCF) has been obtained by Tikhonov's regularization method. Parameters for the nearest atomic environment, namely, the bond length and the asymmetry parameter of the PCF first peak, have been determined. A comparison of results obtained with available data and those obtained by other methods allows us to conclude that this setting of the inverse problem and the integral operator kernel parameters selected can be used for the experimental determination of PCF for both single-component and more complicated matter.