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Quasicrystals are a new form of solids that differs from crystalline and amorphous materials since they possess quasi-periodicity and noncrystallographic rotational orders. The presence of the pseudo-gap across the Fermi level is conceivably responsible for the stability of the unconventional structures. Two mechanisms have been proposed for the gap opening; one is due to the p-d hybridization and the other is the Fermi surface (FS) quasi Brillouin zone (qBZ) interaction, both of which are accessible to Compton scattering spectroscopy. Here, we report recent experiments on Cdand Albased quasicrystals at BL08W, SPring-8. Analyses of experimental Compton profiles of CdYb and CdCa quasicrystals reveal the presence of Yb5d(Ca3d) Cd5p bonding states induced by the p-d hybridization effect. They also show a good agreement in size between the FS and qBZ's. These results conclude that both the d-p hybridization and the FS-qBZ interaction contribute to the pseudogap opening in the Cd-based quasicrystals. From the Compton profiles of AlCuCo, AlCuRu, AlCuFe, AlPdMn, AlLiCu, and AlNiCo quasicrystals, the valence values of the 3d-transition elements are experimentally obtained. The results are much greater than the Raynor's values that are commonly employed for examining the FS qBZ matching. This suggests the necessity to revise the FS qBZ interaction scenario in Al-based quasicrystals.

acta crystallographica. section a, foundations of crystallography/acta crystallographica. section a

Self-interference effect of nuclear forward scattering in an antiferromagnet<sup>57</sup>FeBO<sub>3</sub>single crystal which is excited with magneto elastic vibration of 27.56 nHz

Self-interference effect of nuclear forward scattering in an antiferromagnet57FeBO3single crystal which is excited with magneto elastic vibration of 27.56 nHz

Self-interference effect of nuclear forward scattering in an antiferromagnet⁵⁷FeBO₃single crystal which is excited with magneto elastic vibration of 27.56 nHz