DOE OSTI2020
ZrMg is Copper-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to six equivalent Mg and six equivalent Zr atoms to form MgMg6Zr6 cuboctahedra that share corners with twelve MgMg6Zr6 cuboctahedra, edges with twelve MgMg6Zr6 cuboctahedra, edges with twelve equivalent ZrMg6Zr6 cuboctahedra, faces with six equivalent MgMg6Zr6 cuboctahedra, and faces with twelve equivalent ZrMg6Zr6 cuboctahedra. All Mg–Mg bond lengths are 3.07 Å. All Mg–Zr bond lengths are 3.28 Å. In the second Mg site, Mg is bonded to six equivalent Mg and six Zr atoms to form MgMg6Zr6 cuboctahedra that share corners with five equivalent ZrMg6Zr10 cuboctahedra, corners with twelve MgMg6Zr6 cuboctahedra, edges with ten ZrMg6Zr6 cuboctahedra, edges with twelve MgMg6Zr6 cuboctahedra, faces with six equivalent MgMg6Zr6 cuboctahedra, and faces with fifteen ZrMg6Zr6 cuboctahedra. All Mg–Mg bond lengths are 3.07 Å. All Mg–Zr bond lengths are 3.28 Å. In the third Mg site, Mg is bonded to six equivalent Mg and six Zr atoms to form MgMg6Zr6 cuboctahedra that share corners with five equivalent ZrMg6Zr10 cuboctahedra, corners with twelve MgMg6Zr6 cuboctahedra, edges with ten ZrMg6Zr6 cuboctahedra, edges with twelve MgMg6Zr6 cuboctahedra, faces with six equivalent MgMg6Zr6 cuboctahedra, and faces with fifteen ZrMg6Zr6 cuboctahedra. All Mg–Mg bond lengths are 3.07 Å. All Mg–Zr bond lengths are 3.28 Å. There are two inequivalent Zr sites. In the first Zr site, Zr is bonded to six Mg and six equivalent Zr atoms to form ZrMg6Zr6 cuboctahedra that share corners with twelve ZrMg6Zr6 cuboctahedra, edges with twelve MgMg6Zr6 cuboctahedra, edges with twelve ZrMg6Zr6 cuboctahedra, faces with six equivalent ZrMg6Zr6 cuboctahedra, and faces with twelve MgMg6Zr6 cuboctahedra. All Zr–Zr bond lengths are 3.07 Å. In the second Zr site, Zr is bonded to six Mg and ten equivalent Zr atoms to form ZrMg6Zr10 cuboctahedra that share corners with ten MgMg6Zr6 cuboctahedra, corners with twelve ZrMg6Zr6 cuboctahedra, edges with eight MgMg6Zr6 cuboctahedra, edges with sixteen ZrMg6Zr6 cuboctahedra, faces with sixteen equivalent ZrMg6Zr10 cuboctahedra, and faces with eighteen MgMg6Zr6 cuboctahedra. There are a spread of Zr–Zr bond distances ranging from 3.07–6.13 Å.