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Pearson et al. [1] experimentally and theoretically (based on oneelectron HartreeSlater calculations) found that the intensities of L_{2,3} white lines for most of the 3d and 4d transition metals decreased nearly linearly with increasing atomic number, reflecting the filling of the d states. Figure 3433a shows the deconvoluted and backgroundsubtracted L_{2,3} energyloss spectra for the 4d transition metals. The edge energies are not shown in order to present all the spectra on the same figure, while the intensities of the white lines are scaled simultaneously for all elements.
Figure 3433a. The deconvoluted and backgroundsubtracted L_{2,3} energyloss spectra for the 4d transition metals. [1]
Similar to white line analysis of 3d metals, in order to quantify the correlation between the intensities of the white lines and the d holes (or occupancy), the intensities of the white lines are normally obtained by subtracting the background from the signal. As an example, Figure 3433b illustrates the method for isolating and normalizing the white lines for 4d transition Mo (molybdenum) metal. The background intensity is modeled by step functions in the threshold regions. A straight line over a range of ~ 50 eV is fit to the background intensity immediately following each white line. The normalized L_{2,3} whiteline intensity is defined as the integrated intensity of the L_{2} and L_{3} white lines divided by the integrated intensity in the normalization window 50 eV in width beginning 50 eV past the L_{3} edge onset. A linear correlation of the normalized white line intensity, I_{4d}, with 4d occupancy, n_{4d} (see Tables in page4696), is obtained with a fit given by,[1]
 [3433a]
where, the constant, K, is arbitrary and depends on the specific normalization scheme.
Figure 3433b. Schematic illustration of L_{2,3} edges of Mo transition metal for background subtraction and intensity normalization. [1]
By fitting the constant, the normalized whiteline intensities for steps at peaks (Equation 3433b) and at onsets (Equation 3433c) can be given by, [1]
 [3433b]
 [3433c]
[1] D. H. Pearson, C. C. Ahn, and B.Fultz, White lines and delectron occupancies for the 3d and 4d transition metals, Physical Review B, 47(14), (1993) 84718478.
