“…The unique structural feature of the Tsai-type i-phases is the existence of the tetrahedron consisting of four atoms located at the icosahedral cluster center, which breaks icosahedral symmetry in the phases. 5,6) Moreover, Tsai-type i-phases have been found to form in a variety of ternary or quaternary alloys: AgIn-(Ca, Yb), 9) Au-In-Ca, 10) Zn-Mg-Sc, 11) Zn-(Ag, Au, Pd, Pt)-Sc, 12) Zn-Cu-Sc, 13) Zn-(Mn, Fe, Co, Ni)-Sc, 14) Cu-GaMg-Sc 15) and Cu-(Ga, Al)-Sc. 16) Consequently, the Tsai-type i-phases constitute the largest of the three groups of i-phases.…”