The amounts of decreased charge at Al sites of Al-based (Al-Pd-Cr-Fe, Al-Si-Mn, and Al-Re-Si) and at Zn sites of Zn-based (Zn-Mg-Zr) quasicrystals and approximant crystals were estimated. The evaluation was done by comparisons between chemical shifts experimentally observed by soft-X-ray emission spectroscopy and the amount of valence charge obtained by Bader analysis for first principle calculations of reference materials (Al, α-Al2O3, Zn, and ZnO). Decreased charges at Al sites of Al-based quasicrystals and at Zn sites of Zn-based quasicrystals were evaluated to be 1.0-2.5 e-/atom and 1.1-1.2 e-/atom, respectively. A covalent bonding nature alloy of Al-Re-Si also showed a decrease in valence charge at Al sites.
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