Title: Identification of the atomic cluster of <i>p</i>-type Zn–Mg–Hf icosahedral quasicrystal
Abstract: The structure of p-type Zn-Mg-Hf icosahedral quasicrytal (iQC) [1] has been analyzed by single-crystal X-ray diffraction within the framework of higher-dimensional structure analysis.The analysis revealed for the first time that the structure is isostructural to that of Cd-Yb iQC [2].Thus the atomic cluster that characterizes the iQC structure is so-called Tsai-type, which is different from the Bergman-type that has been estimated from the structure analyses of related approximant crystals [3].The structure refinements of Zn85.5-Mg7-Hf7.5 iQC based on the six-dimensional Cd-Yb iQC model [2] smoothly converged with the reliability factor of 0.096 using symmetrically inequivalent 2946 reflections and 290 refined parameters.It became apparent that Zn occupies the atomic sites of Cd, and Mg/Hf occupies those of Yb.This contrasts with Cd-Mg-Yb iQCs, where Cd is replaced with Mg when varying their Mg concentrations.The authors would like to thank Dr. Y. Matsushita and Mr.