Influence of plasmons on X-ray emission bands of some simple metals

Abstract

The appearance of plasmon satellites in the X-ray emission spectra should give rise to a reduction in free electron conduction band widths according to the intensity conservation rule. A simple method is suggested to study this reduction by modifying the Sommerfeld formula for the phase space available to the single-particle excitations and the effective electronic mass due to the existence of the plasmons. It is found that the calculated band widths agree fairly well with corresponding experimental values for some simple metals. The inclusion of the exchange and correlations, however, removes the agreement between the theoretical and experimental values of the band width. This is attributed to the fact that the long- and short-wavelength tails are avoided in experimental measurements, whereas their effects are included in the exchange and correlation corrections.