IntroductionThough X-ray fluorescence analysis is used for elemental analysis, high-resolution measurements with a double-crystal Xray fluorescence spectrometer reveal a chemical shift of the characteristic X-ray lines owing to a change of the chemical environment. 1 Both the line width and the peak shift of the Kα1 line are strongly correlated with the number of unpaired 3d electrons, or valency, and the ligands in the transition metal compounds. 2,3 The profile changes of the high-resolution Kα Xray fluorescence spectra due to the chemical states and their theoretical interpretations were reported for Sc, 4 Ti, 5 V, 6 Cr, 7 Mn, 7 Fe, 8 Co, 9 and Cu. 10 For Ni, the chemical effects on the line shape in high-resolution Kα X-ray spectra were for only a few compounds, 2,3,[11][12][13][14][15] but along with the development of rechargeable electric batteries, the number of reported compounds became large. 16 However, the interpretation of the line width has been different among researchers.Tsutsumi 17 proposed an interpretation that the line width was proportional to the multiplicity, J(2S + 1), of the 3d level, where J is the exchange integral. Then Kawai et al. 18 proposed a charge-transfer mechanism, where, in the 1s -1 hole state, ligand 2p electrons were attracted by some of the Ni atoms and consequently the 3d holes were filled by the electrons transferred from a ligand (well-screened state), while the other Ni atoms do not attract any electrons from the ligand (poorly screened state) because of a too fast atomic process. As a consequence of these two processes, the X-ray peak was split into two peaks due to the presence or absence of the chargetransfer from the ligand, and became broader. As mentioned above, quite similar papers 15,16 on Ni measured by doublecrystal spectrometers were published in the same issue of the journal, X-Ray Spectrometry, guest edited by one of the present authors. Konishi et al. 16 measured 32 nickel compounds, which were interpreted by Kawai's charge-transfer mechanism. 18 Shigemi et al. 15 measured two nickel compounds and a metal reference, which were interpreted by Tsutsumi's exchange splitting theory. 17 Because a paper that denies the editor's theory was published in the journal edited by the editor does not mean that the editor has accepted the denial. It is the duty of the journal editor to open the door for various ways of discussion. The line broadenings of late transition-metal compounds, such as nickel and cobalt, are not remarkable compared with those of early transition metal compounds. This is well interpreted in such a way that Kawai's charge-transfer mechanism plays a major role for late transition-metal compounds, while Tsutsumi's exchange mechanism plays a major role for early transition-metal compounds. 19 The purpose of the present paper is to show the reproducibility of Konishi's experiment in another type of spectrometer, as well as to prove the charge-transfer mechanism through a molecular orbital calculation.
ExperimentalThe double-crystal spectrometers use...