The presence of an unfilled inner electron shell in the rare earth ele
ments is manifested in x-ray absorption effects that are unique to the
energy region including the Malpha and Mbeta lines of these elements.
In contrast to the normal edge-type absorption, this anomalous absorp
tion appears as an absorption line. A method is presented here for the
quantitative determination of the extent of this anomalous absorption
. Solid hulk metal samples, excited with a monoenergetic electron beam
, were examined with a wavelength-dispersive x-ray spectrometer. The d
iscussed method makes the experimentally determined absorption indepen
dent of both the detection efficiency and atomic data such as the fluo
rescence yield and transition probabilities. A simple empirical model
is proposed to explain the dependence of the absorption of the Malpha
line on the absorption path length, which was varied by the primary be
am energy. Normal and anomalous absorption are treated as independent
and competing processes in this model. Atomic data such as the mass ab
sorption coefficients pertinent to the anomalous absorption of the Mal
pha lines were also determined and are presented.