Bulk sensitive x-ray spectroscopy is performed to systematically study the effect of substitution on the valence transition in strongly correlated Yb compounds, such as Y 0.1 Yb 0.9 InCu 4 , YbInCu 4 , and YbIn 0.88 Ag 0.12 Cu 4 , and is compared with complementary magnetic-susceptibility results. High-resolution x-ray absorption spectroscopy with partial fluorescence yields mode and resonant x-ray emission spectroscopy is used to measure the valency change as a function of temperature. The valency change determined from spectroscopy exactly follows the temperature evolution of the magnetic susceptibility. The results confirm first-order transitions in Y 0.1 Yb 0.9 InCu 4 and YbInCu 4 , while YbIn 0.88 Ag 0.12 Cu 4 exhibits a continuous mixedvalence transition. The present results are in agreement with the mean-field Anderson lattice model theory of Goltsev and co-workers ͓Phys. Rev. B 63, 155109 ͑2001͒; J. Phys.: Condens. Matter 17, S813 ͑2005͔͒, which includes the role of local deformations and Kondo volume collapse in the valence transition.
The Kβ x-ray spectra of the elements from Ca to Ge have been systematically investigated using a highresolution antiparallel double-crystal x-ray spectrometer. Each Kβ 1,3 natural linewidth has been corrected using the instrumental function of this type of x-ray spectrometer, and the spin doublet energies have been obtained from the peak position values in Kβ 1,3 x-ray spectra. For all studied elements the corrected Kβ 1 x-ray lines FWHM increase linearly as a function of Z. However, for Kβ 3 x-ray lines this dependence is generally not linear in the case of 3d elements but increases from Sc to Co elements. It has been found that the contributions of satellite lines are considered to be [KM] shake processes. Our theoretically predicted synthetic spectra of Ca, Mn, Cu, and Zn are in very good agreement with our high-resolution measurements, except in the case of Mn, due to the open-shell valence configuration effect (more than 7000 transitions for diagram lines and more than 100 000 transitions for satellite lines) and the influence of the complicated structure of the metallic Mn.
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