Photoelectron Spectra of Core Electrons in Metals with an Incomplete Shell

Abstract

Analytic investigations of the photoelectron spectra of core electrons and numerical calculations of their overall line shapes are made with the model proposed in our previous paper. In the final state of the photoemission, an electronic level of the incomplete shell of the excited atom, initially located well above the Fermi energy ε F , is assumed to be lowered down to ε d due to the core hole left behind. When ε d < ε F , the calculated spectrum consists of two peaks: A singular peak at \(\tilde{\varepsilon}_{d}\) and a Lorentzian peak at \(\tilde{\varepsilon}_{\text{F}}\). When ε d > ε F , a singular photoemission edge appears at \(\tilde{\varepsilon}_{\text{F}}\), with a weak spectral hump around \(\tilde{\varepsilon}_{d}\). The results are compared qualitatively with experimental data. Finally, some remarks are made on the relationship between the analytic features of the photoelectron and optical absorption spectra.