Spectral Densities of Anomalous X-Ray Emission and Absorption Spectra of Simple Metals Based on the Generalized Power Law

Anomalous spectral densities near threshold for soft X-ray emission and absorption in metals due to the effect of the hole potential are calculated with the use of the generalized power law (GPL) found by Mizuno, Ishikawa and Ohmura and shown graphically. A formula of spectral densities in the presence of the gradient to the transition density of states (TDOS) is proposed on the basis of GPL. The result illustrates absence of the anomaly in K absorption spectra on Li in agreement with the observation by Petersen, The result is in fair agreement with that of experiments analyzed by Neddermeyer in which the same exponent is obtained for L emission and absorption spectra of Mg and Al although TDOS is quite different for emission and absorption.