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DOE OSTI2019

Materials Data on Mg149Te by Materials Project

Mg149Te is alpha Samarium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one Te atom to form distorted MgMg11Te cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, a faceface with one TeMg12 cuboctahedra, and faces with nineteen MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.27 Å. The Mg–Te bond length is 3.24 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, an edgeedge with one TeMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are four shorter (3.17 Å) and six longer (3.18 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, an edgeedge with one TeMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one TeMg12 cuboctahedra, corners with seventeen MgMg11Te cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, and faces with twenty MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.17 Å) and two longer (3.18 Å) Mg–Mg bond lengths. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, and faces with twenty MgMg11Te cuboctahedra. There are seven shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are seven shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one TeMg12 cuboctahedra, edges with seventeen MgMg11Te cuboctahedra, and faces with twenty MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, a faceface with one TeMg12 cuboctahedra, and faces with nineteen MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.19 Å. In the thirteenth Mg site, Mg is bonded to eleven Mg and one Te atom to form distorted MgMg11Te cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Te cuboctahedra, a faceface with one TeMg12 cuboctahedra, and faces with nineteen MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.21 Å. The Mg–Te bond length is 3.23 Å. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one TeMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are six shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are seven shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Te cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one TeMg12 cuboctahedra, corners with seventeen MgMg11Te cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Te cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are five shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. Te is bonded to twelve Mg atoms to form TeMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Te cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on LuMg149 by Materials Project

Mg149Lu is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgLuMg11 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are four shorter (3.19 Å) and eight longer (3.20 Å) Mg–Mg bond lengths. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one LuMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.22 Å. In the third Mg site, Mg is bonded to eleven Mg and one Lu atom to form MgLuMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one LuMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.30 Å. The Mg–Lu bond length is 3.24 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one LuMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one LuMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.21 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.19 Å) and six longer (3.20 Å) Mg–Mg bond lengths. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one LuMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.23 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are three shorter (3.20 Å) and six longer (3.21 Å) Mg–Mg bond lengths. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.23 Å. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one LuMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.19 Å) and three longer (3.20 Å) Mg–Mg bond lengths. In the thirteenth Mg site, Mg is bonded to eleven Mg and one Lu atom to form MgLuMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one LuMg12 cuboctahedra, and faces with nineteen MgLuMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.24 Å. The Mg–Lu bond length is 3.24 Å. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one LuMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgLuMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are three shorter (3.19 Å) and four longer (3.20 Å) Mg–Mg bond lengths. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are one shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one LuMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.20 Å) and two longer (3.21 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.20 Å) and two longer (3.21 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.21 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Lu is bonded to twelve Mg atoms to form LuMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg149Bi by Materials Project

Mg149Bi is alpha Samarium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one Bi atom to form distorted MgMg11Bi cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, a faceface with one BiMg12 cuboctahedra, and faces with nineteen MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.29 Å. The Mg–Bi bond length is 3.26 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, an edgeedge with one BiMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are eight shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, an edgeedge with one BiMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one BiMg12 cuboctahedra, corners with seventeen MgMg11Bi cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.20 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra. There are three shorter (3.19 Å) and six longer (3.20 Å) Mg–Mg bond lengths. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.20 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one BiMg12 cuboctahedra, edges with seventeen MgMg11Bi cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, a faceface with one BiMg12 cuboctahedra, and faces with nineteen MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the thirteenth Mg site, Mg is bonded to eleven Mg and one Bi atom to form distorted MgMg11Bi cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Bi cuboctahedra, a faceface with one BiMg12 cuboctahedra, and faces with nineteen MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.24 Å. The Mg–Bi bond length is 3.25 Å. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are three shorter (3.19 Å) and four longer (3.20 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.19 Å) and three longer (3.20 Å) Mg–Mg bond lengths. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Bi cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one BiMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.20 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one BiMg12 cuboctahedra, corners with seventeen MgMg11Bi cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are five shorter (3.20 Å) and one longer (3.21 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Bi is bonded to twelve Mg atoms to form BiMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Bi cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti4Al11Zn by Materials Project

Ti4ZnAl11 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are four inequivalent Ti sites. In the first Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent ZnTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl8Zn4 cuboctahedra, edges with twenty AlTi4Al6Zn2 cuboctahedra, a faceface with one ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with twelve AlTi4Al8 cuboctahedra. There are eight shorter (2.76 Å) and four longer (2.97 Å) Ti–Al bond lengths. In the second Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with sixteen AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al6Zn2 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.94 Å. In the third Ti site, Ti is bonded to four equivalent Zn and eight Al atoms to form TiAl8Zn4 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al6Zn2 cuboctahedra, faces with four equivalent ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with nine AlTi4Al6Zn2 cuboctahedra. All Ti–Zn bond lengths are 2.76 Å. There are four shorter (2.75 Å) and four longer (2.90 Å) Ti–Al bond lengths. In the fourth Ti site, Ti is bonded to twelve Al atoms to form TiAl12 cuboctahedra that share corners with four equivalent AlTi4Al8 cuboctahedra, corners with eight TiAl12 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. There are a spread of Ti–Al bond distances ranging from 2.76–2.93 Å. Zn is bonded to four equivalent Ti and eight Al atoms to form ZnTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with four equivalent ZnTi4Al8 cuboctahedra, corners with four equivalent AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al6Zn2 cuboctahedra, faces with four equivalent ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with nine AlTi4Al6Zn2 cuboctahedra. There are four shorter (2.80 Å) and four longer (2.84 Å) Zn–Al bond lengths. There are seven inequivalent Al sites. In the first Al site, Al is bonded to four Ti, two equivalent Zn, and six Al atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with twelve AlTi4Al6Zn2 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with twelve AlTi4Al6Zn2 cuboctahedra, faces with two equivalent ZnTi4Al8 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with twelve AlTi4Al6Zn2 cuboctahedra. There are four shorter (2.76 Å) and two longer (2.87 Å) Al–Al bond lengths. In the second Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al6Zn2 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al6Zn2 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.76–2.88 Å. In the third Al site, Al is bonded to four Ti, two equivalent Zn, and six Al atoms to form AlTi4Al6Zn2 cuboctahedra that share corners with twelve AlTi4Al6Zn2 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with twelve AlTi4Al6Zn2 cuboctahedra, faces with two equivalent ZnTi4Al8 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with twelve AlTi4Al6Zn2 cuboctahedra. There are four shorter (2.76 Å) and two longer (2.85 Å) Al–Al bond lengths. In the fourth Al site, Al is bonded to four Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with twelve AlTi4Al8 cuboctahedra, edges with eight TiAl12 cuboctahedra, edges with sixteen AlTi4Al6Zn2 cuboctahedra, faces with four TiAl12 cuboctahedra, and faces with fourteen AlTi4Al6Zn2 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.76–2.86 Å. In the fifth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the sixth Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl8Zn4 cuboctahedra, corners with eight AlTi4Al8 cuboctahedra, edges with four equivalent TiAl12 cuboctahedra, edges with four equivalent ZnTi4Al8 cuboctahedra, edges with sixteen AlTi4Al6Zn2 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with thirteen AlTi4Al8 cuboctahedra. In the seventh Al site, Al is bonded to four equivalent Ti and eight Al atoms to form AlTi4Al8 cuboctahedra that share corners with four equivalent TiAl12 cuboctahedra, corners with four equivalent ZnTi4Al8 cuboctahedra, corners with four equivalent AlTi4Al8 cuboctahedra, edges with four equivalent TiAl8Zn4 cuboctahedra, edges with twenty AlTi4Al8 cuboctahedra, a faceface with one ZnTi4Al8 cuboctahedra, faces with five TiAl12 cuboctahedra, and faces with twelve AlTi4Al6Zn2 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg149Cd by Materials Project

Mg149Cd is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one Cd atom to form distorted MgMg11Cd cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, a faceface with one CdMg12 cuboctahedra, and faces with nineteen MgMg11Cd cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.19 Å. The Mg–Cd bond length is 3.17 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, an edgeedge with one CdMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra. There are eight shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, an edgeedge with one CdMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra. There are six shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one CdMg12 cuboctahedra, corners with seventeen MgMg11Cd cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra. There are seven shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the seventh Mg site, Mg is bonded to eleven Mg and one Cd atom to form distorted MgMg11Cd cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, a faceface with one CdMg12 cuboctahedra, and faces with nineteen MgMg11Cd cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. The Mg–Cd bond length is 3.17 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one CdMg12 cuboctahedra, edges with seventeen MgMg11Cd cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra. There are four shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra. There are seven shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Cd cuboctahedra, a faceface with one CdMg12 cuboctahedra, and faces with nineteen MgMg11Cd cuboctahedra. There are one shorter (3.17 Å) and two longer (3.18 Å) Mg–Mg bond lengths. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one CdMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are six shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one CdMg12 cuboctahedra, corners with seventeen MgMg11Cd cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are seven shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Cd cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. Cd is bonded to twelve Mg atoms to form CdMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Cd cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on DyMg149 by Materials Project

Mg149Dy is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgDyMg11 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are four shorter (3.19 Å) and eight longer (3.20 Å) Mg–Mg bond lengths. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one DyMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.22 Å. In the third Mg site, Mg is bonded to eleven Mg and one Dy atom to form MgDyMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one DyMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.33 Å. The Mg–Dy bond length is 3.26 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one DyMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one DyMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.21 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one DyMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.23 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are three shorter (3.20 Å) and six longer (3.21 Å) Mg–Mg bond lengths. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.23 Å. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one DyMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the thirteenth Mg site, Mg is bonded to eleven Mg and one Dy atom to form MgDyMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one DyMg12 cuboctahedra, and faces with nineteen MgDyMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.27 Å. The Mg–Dy bond length is 3.25 Å. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one DyMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgDyMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgDyMg11 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are one shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one DyMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.20 Å) and four longer (3.21 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.20 Å) and two longer (3.21 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.21 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Dy is bonded to twelve Mg atoms to form DyMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg149In by Materials Project

Mg149In is alpha Samarium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one In atom to form distorted MgMg11In cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg11In cuboctahedra, a faceface with one InMg12 cuboctahedra, and faces with nineteen MgMg11In cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.22 Å. The Mg–In bond length is 3.20 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, an edgeedge with one InMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11In cuboctahedra. There are eight shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg11In cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, an edgeedge with one InMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11In cuboctahedra. There are eight shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one InMg12 cuboctahedra, corners with seventeen MgMg11In cuboctahedra, edges with eighteen MgMg11In cuboctahedra, and faces with twenty MgMg11In cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg11In cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one InMg12 cuboctahedra, edges with seventeen MgMg11In cuboctahedra, and faces with twenty MgMg11In cuboctahedra. There are six shorter (3.19 Å) and three longer (3.20 Å) Mg–Mg bond lengths. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11In cuboctahedra, and faces with twenty MgMg11In cuboctahedra. There are seven shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11In cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11In cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the twelfth Mg site, Mg is bonded to eleven Mg and one In atom to form distorted MgMg11In cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11In cuboctahedra, a faceface with one InMg12 cuboctahedra, and faces with nineteen MgMg11In cuboctahedra. There are three shorter (3.18 Å) and four longer (3.20 Å) Mg–Mg bond lengths. The Mg–In bond length is 3.20 Å. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11In cuboctahedra, a faceface with one InMg12 cuboctahedra, and faces with nineteen MgMg11In cuboctahedra. There are one shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one InMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one InMg12 cuboctahedra, corners with seventeen MgMg11In cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11In cuboctahedra. There are two shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11In cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.19 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. In is bonded to twelve Mg atoms to form InMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11In cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sm4Fe31Co3 by Materials Project

Sm4Fe31Co3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sm sites. In the first Sm site, Sm is bonded in a 10-coordinate geometry to seventeen Fe and two Co atoms. There are a spread of Sm–Fe bond distances ranging from 3.00–3.29 Å. Both Sm–Co bond lengths are 3.10 Å. In the second Sm site, Sm is bonded in a 10-coordinate geometry to eighteen Fe and one Co atom. There are a spread of Sm–Fe bond distances ranging from 3.00–3.29 Å. The Sm–Co bond length is 3.11 Å. In the third Sm site, Sm is bonded in a 10-coordinate geometry to sixteen Fe and three Co atoms. There are a spread of Sm–Fe bond distances ranging from 3.01–3.30 Å. There are a spread of Sm–Co bond distances ranging from 3.20–3.24 Å. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to sixteen Fe and three Co atoms. There are a spread of Sm–Fe bond distances ranging from 3.00–3.30 Å. There are a spread of Sm–Co bond distances ranging from 3.20–3.24 Å. There are thirty-one inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two Sm and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.75 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.77 Å. The Fe–Co bond length is 2.64 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.76 Å. The Fe–Co bond length is 2.53 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.76 Å. The Fe–Co bond length is 2.53 Å. In the fifth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, eight Fe, and two Co atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.76 Å. There are one shorter (2.53 Å) and one longer (2.65 Å) Fe–Co bond lengths. In the sixth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.77 Å. The Fe–Co bond length is 2.65 Å. In the seventh Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.75 Å. The Fe–Co bond length is 2.53 Å. In the eighth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm and ten Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.76 Å. In the ninth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.77 Å. The Fe–Co bond length is 2.64 Å. In the tenth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.76 Å. The Fe–Co bond length is 2.64 Å. In the eleventh Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, eight Fe, and two Co atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.77 Å. There are one shorter (2.53 Å) and one longer (2.65 Å) Fe–Co bond lengths. In the twelfth Fe site, Fe is bonded in a 12-coordinate geometry to two Sm, nine Fe, and one Co atom. There are a spread of Fe–Fe bond distances ranging from 2.44–2.75 Å. The Fe–Co bond length is 2.53 Å. In the thirteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Co atom to form distorted FeSm2Fe9Co cuboctahedra that share corners with four CoSm3Fe9 cuboctahedra, corners with ten FeSm3Fe7Co2 cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with five FeSm3Fe8Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.46–2.61 Å. The Fe–Co bond length is 2.44 Å. In the fourteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Co atom to form distorted FeSm2Fe9Co cuboctahedra that share a cornercorner with one CoSm3Fe9 cuboctahedra, corners with thirteen FeSm3Fe8Co cuboctahedra, edges with two CoSm3Fe9 cuboctahedra, edges with four FeSm3Fe8Co cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.60 Å. The Fe–Co bond length is 2.43 Å. In the fifteenth Fe site, Fe is bonded to two Sm, nine Fe, and one Co atom to form distorted FeSm2Fe9Co cuboctahedra that share corners with two CoSm3Fe9 cuboctahedra, corners with twelve FeSm3Fe8Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with five FeSm3Fe8Co cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.60 Å. The Fe–Co bond length is 2.44 Å. In the sixteenth Fe site, Fe is bonded to two Sm, eight Fe, and two Co atoms to form distorted FeSm2Fe8Co2 cuboctahedra that share a cornercorner with one CoSm3Fe9 cuboctahedra, corners with thirteen FeSm3Fe7Co2 cuboctahedra, edges with two CoSm3Fe9 cuboctahedra, edges with four FeSm3Fe8Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.60 Å. Both Fe–Co bond lengths are 2.44 Å. In the seventeenth Fe site, Fe is bonded to two Sm, nine Fe, and one Co atom to form distorted FeSm2Fe9Co cuboctahedra that share corners with three CoSm3Fe9 cuboctahedra, corners with eleven FeSm3Fe7Co2 cuboctahedra, edges with two CoSm3Fe9 cuboctahedra, edges with four FeSm3Fe8Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.61 Å. The Fe–Co bond length is 2.44 Å. In the eighteenth Fe site, Fe is bonded to two Sm and ten Fe atoms to form FeSm2Fe10 cuboctahedra that share corners with four CoSm3Fe9 cuboctahedra, corners with ten FeSm3Fe8Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with five FeSm3Fe7Co2 cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.61 Å. In the nineteenth Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.40–2.66 Å. In the twentieth Fe site, Fe is bonded in a 2-coordinate geometry to one Sm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.65 Å. In the twenty-first Fe site, Fe is bonded in a 3-coordinate geometry to one Sm, twelve Fe, and one Co atom. There are one shorter (2.63 Å) and one longer (2.64 Å) Fe–Fe bond lengths. The Fe–Co bond length is 2.63 Å. In the twenty-second Fe site, Fe is bonded in a 4-coordinate geometry to one Sm, eleven Fe, and two Co atoms. The Fe–Fe bond length is 2.63 Å. There are one shorter (2.62 Å) and one longer (2.63 Å) Fe–Co bond lengths. In the twenty-third Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with two equivalent CoSm3Fe9 cuboctahedra, corners with thirteen FeSm3Fe7Co2 cuboctahedra, edges with two CoSm3Fe9 cuboctahedra, edges with six FeSm3Fe8Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. There are one shorter (2.46 Å) and one longer (2.48 Å) Fe–Fe bond lengths. In the twenty-fourth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with fifteen FeSm2Fe9Co cuboctahedra, edges with three CoSm3Fe9 cuboctahedra, edges with five FeSm3Fe7Co2 cuboctahedra, faces with three CoSm3Fe9 cuboctahedra, and faces with seven FeSm2Fe9Co cuboctahedra. There are one shorter (2.47 Å) and one longer (2.48 Å) Fe–Fe bond lengths. In the twenty-fifth Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with fifteen FeSm2Fe9Co cuboctahedra, edges with three CoSm3Fe9 cuboctahedra, edges with five FeSm3Fe8Co cuboctahedra, faces with three CoSm3Fe9 cuboctahedra, and faces with seven FeSm2Fe9Co cuboctahedra. There are one shorter (2.47 Å) and one longer (2.48 Å) Fe–Fe bond lengths. In the twenty-sixth Fe site, Fe is bonded to three Sm, eight Fe, and one Co atom to form FeSm3Fe8Co cuboctahedra that share corners with four CoSm3Fe9 cuboctahedra, corners with eleven FeSm2Fe9Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with seven FeSm3Fe8Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. The Fe–Co bond length is 2.45 Å. In the twenty-seventh Fe site, Fe is bonded to three Sm and nine Fe atoms to form FeSm3Fe9 cuboctahedra that share corners with three CoSm3Fe9 cuboctahedra, corners with twelve FeSm2Fe9Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with seven FeSm3Fe8Co cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. In the twenty-eighth Fe site, Fe is bonded to three Sm, eight Fe, and one Co atom to form FeSm3Fe8Co cuboctahedra that share corners with three CoSm3Fe9 cuboctahedra, corners with twelve FeSm3Fe8Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with seven FeSm3Fe7Co2 cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. The Fe–Co bond length is 2.45 Å. In the twenty-ninth Fe site, Fe is bonded to three Sm, eight Fe, and one Co atom to form FeSm3Fe8Co cuboctahedra that share corners with five CoSm3Fe9 cuboctahedra, corners with ten FeSm2Fe9Co cuboctahedra, edges with eight FeSm3Fe7Co2 cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. The Fe–Co bond length is 2.46 Å. In the thirtieth Fe site, Fe is bonded to three Sm, seven Fe, and two Co atoms to form FeSm3Fe7Co2 cuboctahedra that share corners with five CoSm3Fe9 cuboctahedra, corners with ten FeSm2Fe9Co cuboctahedra, edges with eight FeSm3Fe8Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra. There are one shorter (2.46 Å) and one longer (2.47 Å) Fe–Co bond lengths. In the thirty-first Fe site, Fe is bonded to three Sm, eight Fe, and one Co atom to form FeSm3Fe8Co cuboctahedra that share corners with four CoSm3Fe9 cuboctahedra, corners with eleven FeSm2Fe9Co cuboctahedra, edges with eight FeSm3Fe8Co cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. The Fe–Co bond length is 2.47 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded to three Sm and nine Fe atoms to form distorted CoSm3Fe9 cuboctahedra that share corners with two equivalent CoSm3Fe9 cuboctahedra, corners with thirteen FeSm2Fe9Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with seven FeSm2Fe9Co cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. In the second Co site, Co is bonded to three Sm and nine Fe atoms to form distorted CoSm3Fe9 cuboctahedra that share corners with two equivalent CoSm3Fe9 cuboctahedra, corners with thirteen FeSm2Fe9Co cuboctahedra, an edgeedge with one CoSm3Fe9 cuboctahedra, edges with seven FeSm2Fe9Co cuboctahedra, a faceface with one CoSm3Fe9 cuboctahedra, and faces with nine FeSm2Fe9Co cuboctahedra. In the third Co site, Co is bonded to three Sm and nine Fe atoms to form CoSm3Fe9 cuboctahedra that share corners with fifteen FeSm3Fe8Co cuboctahedra, edges with two CoSm3Fe9 cuboctahedra, edges with six FeSm2Fe9Co cuboctahedra, faces with two CoSm3Fe9 cuboctahedra, and faces with eight FeSm2Fe9Co cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg149Hg by Materials Project

Mg149Hg is alpha Samarium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one Hg atom to form distorted MgMg11Hg cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, a faceface with one HgMg12 cuboctahedra, and faces with nineteen MgMg11Hg cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.20 Å. The Mg–Hg bond length is 3.16 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, an edgeedge with one HgMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra. There are four shorter (3.18 Å) and six longer (3.19 Å) Mg–Mg bond lengths. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, an edgeedge with one HgMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one HgMg12 cuboctahedra, corners with seventeen MgMg11Hg cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra. There are seven shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the seventh Mg site, Mg is bonded to eleven Mg and one Hg atom to form distorted MgMg11Hg cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, a faceface with one HgMg12 cuboctahedra, and faces with nineteen MgMg11Hg cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.20 Å. The Mg–Hg bond length is 3.16 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one HgMg12 cuboctahedra, edges with seventeen MgMg11Hg cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are four shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra. There are five shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Hg cuboctahedra, a faceface with one HgMg12 cuboctahedra, and faces with nineteen MgMg11Hg cuboctahedra. There are one shorter (3.17 Å) and two longer (3.18 Å) Mg–Mg bond lengths. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one HgMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are six shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are four shorter (3.18 Å) and five longer (3.19 Å) Mg–Mg bond lengths. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.18 Å) and five longer (3.19 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one HgMg12 cuboctahedra, corners with seventeen MgMg11Hg cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra. There are three shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Hg cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. Hg is bonded to twelve Mg atoms to form HgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Hg cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on HfMg149 by Materials Project

Mg149Hf is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one HfMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.23 Å. In the second Mg site, Mg is bonded to eleven Mg and one Hf atom to form MgHfMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one HfMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.23 Å. The Mg–Hf bond length is 3.16 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgHfMg11 cuboctahedra, an edgeedge with one HfMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgHfMg11 cuboctahedra, an edgeedge with one HfMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.18 Å) and six longer (3.19 Å) Mg–Mg bond lengths. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the seventh Mg site, Mg is bonded to eleven Mg and one Hf atom to form MgHfMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one HfMg12 cuboctahedra, and faces with nineteen MgHfMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.21 Å. The Mg–Hf bond length is 3.15 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgHfMg11 cuboctahedra, a faceface with one HfMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.20 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgHfMg11 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.18 Å) and five longer (3.19 Å) Mg–Mg bond lengths. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one HfMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one HfMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are one shorter (3.18 Å) and five longer (3.19 Å) Mg–Mg bond lengths. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are one shorter (3.17 Å) and two longer (3.18 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one HfMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.17 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.20 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, face, and corner-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.19 Å. Hf is bonded to twelve Mg atoms to form HfMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgHfMg11 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg149V by Materials Project

Mg149V is alpha Samarium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one VMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg11V cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.23 Å. In the second Mg site, Mg is bonded to eleven Mg and one V atom to form distorted MgMg11V cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one VMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.21 Å. The Mg–V bond length is 3.11 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are six shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one VMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.17 Å) and four longer (3.18 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11V cuboctahedra, an edgeedge with one VMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are four shorter (3.17 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the seventh Mg site, Mg is bonded to eleven Mg and one V atom to form distorted MgMg11V cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one VMg12 cuboctahedra, and faces with nineteen MgMg11V cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.11–3.23 Å. The Mg–V bond length is 3.10 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one VMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11V cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one VMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are four shorter (3.17 Å) and one longer (3.18 Å) Mg–Mg bond lengths. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are six shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one VMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11V cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.20 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one VMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are five shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are five shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of corner, edge, and face-sharing MgMg12 cuboctahedra. V is bonded to twelve Mg atoms to form VMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11V cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2019

Materials Data on Mg149Zn by Materials Project

Mg149Zn is alpha Samarium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one Zn atom to form distorted MgMg11Zn cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, a faceface with one ZnMg12 cuboctahedra, and faces with nineteen MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.12–3.24 Å. The Mg–Zn bond length is 3.14 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, an edgeedge with one ZnMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are eight shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, an edgeedge with one ZnMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one ZnMg12 cuboctahedra, corners with seventeen MgMg11Zn cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the seventh Mg site, Mg is bonded to eleven Mg and one Zn atom to form distorted MgMg11Zn cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, a faceface with one ZnMg12 cuboctahedra, and faces with nineteen MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.23 Å. The Mg–Zn bond length is 3.14 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one ZnMg12 cuboctahedra, edges with seventeen MgMg11Zn cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are five shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra. There are five shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Zn cuboctahedra, a faceface with one ZnMg12 cuboctahedra, and faces with nineteen MgMg11Zn cuboctahedra. There are one shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one ZnMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are six shorter (3.18 Å) and three longer (3.20 Å) Mg–Mg bond lengths. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one ZnMg12 cuboctahedra, corners with seventeen MgMg11Zn cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are six shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Zn cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Zn is bonded to twelve Mg atoms to form ZnMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Zn cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on La9Ni5S21 by Materials Project

La9Ni5S21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.85–3.03 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.10 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.86–3.10 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.86–3.11 Å. In the fifth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.03 Å. In the sixth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.09 Å. In the seventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.11 Å. In the eighth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.86–3.11 Å. In the ninth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.85–3.03 Å. In the tenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.10 Å. In the eleventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.91–3.08 Å. In the twelfth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.87–3.05 Å. In the thirteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.08 Å. In the fourteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.87–3.05 Å. In the fifteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.11 Å. In the sixteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.87–3.06 Å. In the seventeenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.10 Å. In the eighteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.91–3.08 Å. There are ten inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to four S2- atoms to form distorted corner-sharing NiS4 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–2.34 Å. In the second Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–3.10 Å. In the third Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–3.07 Å. In the fourth Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.16–3.09 Å. In the fifth Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–3.09 Å. In the sixth Ni3+ site, Ni3+ is bonded to four S2- atoms to form distorted corner-sharing NiS4 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–2.34 Å. In the seventh Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.43–2.46 Å. In the eighth Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.41–2.50 Å. In the ninth Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.42–2.50 Å. In the tenth Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.44–2.46 Å. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the second S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the third S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the sixth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the seventh S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the eighth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the ninth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the tenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the eleventh S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twelfth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the thirteenth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the fourteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the fifteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the sixteenth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the seventeenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the eighteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the nineteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twentieth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twenty-first S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the twenty-second S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twenty-third S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the twenty-fourth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the twenty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the twenty-eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirtieth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirty-first S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the thirty-third S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirty-fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the thirty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to three La3

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SmMg149 by Materials Project

Mg149Sm is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgSmMg11 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one SmMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.22 Å. In the third Mg site, Mg is bonded to eleven Mg and one Sm atom to form MgSmMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one SmMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.35 Å. The Mg–Sm bond length is 3.27 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one SmMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are three shorter (3.19 Å) and six longer (3.20 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one SmMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.21 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the seventh Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one SmMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.24 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are three shorter (3.20 Å) and six longer (3.21 Å) Mg–Mg bond lengths. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.23 Å. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.20 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one SmMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the thirteenth Mg site, Mg is bonded to eleven Mg and one Sm atom to form MgSmMg11 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one SmMg12 cuboctahedra, and faces with nineteen MgSmMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.28 Å. The Mg–Sm bond length is 3.27 Å. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one SmMg12 cuboctahedra, corners with seventeen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgSmMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgSmMg11 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are one shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one SmMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.20 Å) and four longer (3.21 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are two shorter (3.20 Å) and two longer (3.21 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.21 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.21 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Sm is bonded to twelve Mg atoms to form SmMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg149Ta by Materials Project

Mg149Ta is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mg sites. In the first Mg site, Mg is bonded to eleven Mg and one Ta atom to form MgMg11Ta cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, a faceface with one TaMg12 cuboctahedra, and faces with nineteen MgMg11Ta cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.24 Å. The Mg–Ta bond length is 3.10 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one TaMg12 cuboctahedra, corners with seventeen MgMg11Ta cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, and faces with twenty MgMg11Ta cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.26 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are eight shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, an edgeedge with one TaMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Ta cuboctahedra. There are two shorter (3.17 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, an edgeedge with one TaMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Ta cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the sixth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.18 Å) and six longer (3.19 Å) Mg–Mg bond lengths. In the seventh Mg site, Mg is bonded to eleven Mg and one Ta atom to form distorted MgMg11Ta cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, a faceface with one TaMg12 cuboctahedra, and faces with nineteen MgMg11Ta cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.11–3.25 Å. The Mg–Ta bond length is 3.09 Å. In the eighth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, a faceface with one TaMg12 cuboctahedra, and faces with nineteen MgMg11Ta cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the ninth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, and faces with twenty MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the tenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, an edgeedge with one TaMg12 cuboctahedra, edges with seventeen MgMg12 cuboctahedra, and faces with twenty MgMg11Ta cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.20 Å. In the eleventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.19 Å. In the twelfth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, and faces with twenty MgMg11Ta cuboctahedra. There are three shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the thirteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg11Ta cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.18 Å) and three longer (3.19 Å) Mg–Mg bond lengths. In the fourteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share a cornercorner with one TaMg12 cuboctahedra, corners with seventeen MgMg11Ta cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.21 Å. In the fifteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.20 Å. In the sixteenth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are four shorter (3.19 Å) and three longer (3.20 Å) Mg–Mg bond lengths. In the seventeenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, edges with eighteen MgMg12 cuboctahedra, a faceface with one TaMg12 cuboctahedra, and faces with nineteen MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. In the eighteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are two shorter (3.18 Å) and one longer (3.19 Å) Mg–Mg bond lengths. In the nineteenth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with eighteen MgMg11Ta cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg12 cuboctahedra. There are one shorter (3.18 Å) and four longer (3.19 Å) Mg–Mg bond lengths. In the twentieth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are four shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the twenty-first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are four shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twenty-second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. In the twenty-third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.19 Å. In the twenty-fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. There are two shorter (3.19 Å) and one longer (3.20 Å) Mg–Mg bond lengths. In the twenty-fifth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. In the twenty-sixth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. All Mg–Mg bond lengths are 3.20 Å. In the twenty-seventh Mg site, Mg is bonded to twelve Mg atoms to form a mixture of face, edge, and corner-sharing MgMg12 cuboctahedra. Ta is bonded to twelve Mg atoms to form TaMg12 cuboctahedra that share corners with eighteen MgMg12 cuboctahedra, edges with eighteen MgMg12 cuboctahedra, and faces with twenty MgMg11Ta cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ti9S10 by Materials Project

Ti9S10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Ti+2.22+ sites. In the first Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.52 Å. In the second Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 9–47°. There are a spread of Ti–S bond distances ranging from 2.37–2.63 Å. In the third Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.50 Å. In the fourth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the fifth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.51 Å. In the sixth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–S bond distances ranging from 2.47–2.52 Å. In the seventh Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–47°. There are a spread of Ti–S bond distances ranging from 2.36–2.65 Å. In the eighth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.40–2.54 Å. In the ninth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.46–2.53 Å. In the tenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.50 Å. In the eleventh Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.64 Å. In the twelfth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–48°. There are a spread of Ti–S bond distances ranging from 2.38–2.55 Å. In the thirteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Ti–S bond distances ranging from 2.47–2.52 Å. In the fourteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–S bond distances ranging from 2.48–2.51 Å. In the fifteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–47°. There are a spread of Ti–S bond distances ranging from 2.37–2.57 Å. In the sixteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.36–2.57 Å. In the seventeenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–48°. There are a spread of Ti–S bond distances ranging from 2.39–2.64 Å. In the eighteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–46°. There are a spread of Ti–S bond distances ranging from 2.38–2.55 Å. In the nineteenth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ti–S bond distances ranging from 2.46–2.52 Å. In the twentieth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 10–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.61 Å. In the twenty-first Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the twenty-second Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the twenty-third Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 8–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.56 Å. In the twenty-fourth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 7–47°. There are a spread of Ti–S bond distances ranging from 2.39–2.55 Å. In the twenty-fifth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of Ti–S bond distances ranging from 2.48–2.50 Å. In the twenty-sixth Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 11–47°. There are a spread of Ti–S bond distances ranging from 2.38–2.61 Å. In the twenty-seventh Ti+2.22+ site, Ti+2.22+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. There are a spread of Ti–S bond distances ranging from 2.37–2.64 Å. There are thirty inequivalent S2- sites. In the first S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with three STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with four STi5 trigonal bipyramids, edges with three STi6 pentagonal pyramids, edges with four STi5 square pyramids, and an edgeedge with one STi5 trigonal bipyramid. In the second S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share corners with three STi6 pentagonal pyramids, corners with four STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with five STi6 pentagonal pyramids, an edgeedge with one STi5 square pyramid, and edges with two STi5 trigonal bipyramids. In the third S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share corners with two STi6 pentagonal pyramids, corners with three STi5 square pyramids, a cornercorner with one STi5 trigonal bipyramid, edges with four STi6 pentagonal pyramids, edges with three STi5 square pyramids, and edges with five STi5 trigonal bipyramids. In the fourth S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with five STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with two STi6 pentagonal pyramids, edges with four STi5 square pyramids, and edges with two STi5 trigonal bipyramids. In the fifth S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share a cornercorner with one STi6 pentagonal pyramid, corners with three STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with four STi6 pentagonal pyramids, edges with three STi5 square pyramids, and edges with five STi5 trigonal bipyramids. In the sixth S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share corners with two STi6 pentagonal pyramids, corners with four STi5 square pyramids, corners with three STi5 trigonal bipyramids, edges with four STi6 pentagonal pyramids, an edgeedge with one STi5 square pyramid, and edges with three STi5 trigonal bipyramids. In the seventh S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with two STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with five STi5 trigonal bipyramids, an edgeedge with one STi6 octahedra, edges with four STi6 pentagonal pyramids, and edges with three STi5 square pyramids. In the eighth S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share a cornercorner with one STi6 octahedra, corners with two STi5 square pyramids, corners with three STi5 trigonal bipyramids, edges with six STi6 pentagonal pyramids, edges with three STi5 square pyramids, and edges with three STi5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 6°. In the ninth S2- site, S2- is bonded to six Ti+2.22+ atoms to form distorted STi6 pentagonal pyramids that share corners with two STi6 pentagonal pyramids, corners with three STi5 square pyramids, a cornercorner with one STi5 trigonal bipyramid, an edgeedge with one STi6 octahedra, edges with five STi6 pentagonal pyramids, edges with two STi5 square pyramids, and edges with four STi5 trigonal bipyramids. In the tenth S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share a cornercorner with one STi6 pentagonal pyramid, corners with four STi5 square pyramids, corners with four STi5 trigonal bipyramids, an edgeedge with one STi6 octahedra, edges with six STi6 pentagonal pyramids, and an edgeedge with one STi5 trigonal bipyramid. In the eleventh S2- site, S2- is bonded to five Ti+2.22+ atoms to form distorted STi5 trigonal bipyramids that share a cornercorner with one STi6 octahedra, corners with three STi6 pentagonal pyramids, corners with three STi5 square pyramids, corners with two STi5 trigonal bipyramids, edges with four STi6 pentagonal pyramids, an edgeedge with one STi5 square pyramid, and edges with three STi5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 6°. In the twelfth S2- site, S2- is bonded to five Ti+2.22+ atoms to form STi5 square pyramids that share corners with two STi6 pentagonal pyramids, corners with two STi5 square pyramids, corners with five STi5 trigonal bipyramids, an edgeedge with one STi6 octahedra, edges with four STi6 pentagonal pyramids, and edges with three STi5 square pyramids. In the thirteenth S2- site, S2- is bonded to six Ti+2.22+ atoms to form STi6 octahedra that share corners with four STi6 pentagonal

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mn27Sb26 by Materials Project

Mn27Sb26 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.84 Å. In the second Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are one shorter (2.74 Å) and five longer (2.75 Å) Mn–Sb bond lengths. In the third Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are one shorter (2.75 Å) and five longer (2.76 Å) Mn–Sb bond lengths. In the fourth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.75 Å. In the fifth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.77 Å. In the sixth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.75 Å. In the seventh Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.76 Å. In the eighth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Mn–Sb bond distances ranging from 2.64–2.76 Å. In the ninth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Mn–Sb bond distances ranging from 2.63–2.75 Å. In the tenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are one shorter (2.74 Å) and five longer (2.75 Å) Mn–Sb bond lengths. In the eleventh Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are four shorter (2.74 Å) and two longer (2.76 Å) Mn–Sb bond lengths. In the twelfth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.77 Å. In the thirteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.78 Å. In the fourteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Mn–Sb bond distances ranging from 2.65–2.76 Å. In the fifteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Mn–Sb bond distances ranging from 2.66–2.76 Å. In the sixteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.82 Å. In the seventeenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Mn–Sb bond distances ranging from 2.72–2.82 Å. In the eighteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Mn–Sb bond distances ranging from 2.66–2.76 Å. In the nineteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Mn–Sb bond distances ranging from 2.65–2.76 Å. In the twentieth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–Sb bond distances ranging from 2.75–2.77 Å. In the twenty-first Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.77 Å. In the twenty-second Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.77 Å. In the twenty-third Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are two shorter (2.74 Å) and four longer (2.75 Å) Mn–Sb bond lengths. In the twenty-fourth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Mn–Sb bond distances ranging from 2.72–2.85 Å. In the twenty-fifth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.82 Å. In the twenty-sixth Mn2+ site, Mn2+ is bonded to five Sb+2.08- atoms to form a mixture of corner and face-sharing MnSb5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Mn–Sb bond distances ranging from 2.52–2.73 Å. In the twenty-seventh Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.83 Å. There are twenty-six inequivalent Sb+2.08- sites. In the first Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the second Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the third Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fourth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fifth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the sixth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the seventh Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the eighth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the ninth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the tenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the eleventh Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twelfth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the thirteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fourteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fifteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the sixteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the seventeenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the eighteenth Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the nineteenth Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the twentieth Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the twenty-first Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-second Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-third Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the twenty-fourth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-fifth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-sixth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to si

36 MATERIALS SCIENCE↗
DOE OSTI2013

Materials Data on K3Ba2Pr2(BiO5)3 by Materials Project

K3Ba2Pr2(BiO5)3 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with three equivalent KO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, faces with three equivalent PrO6 octahedra, and faces with five BiO6 octahedra. There are a spread of K–O bond distances ranging from 3.09–3.20 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with three equivalent BaO12 cuboctahedra, corners with nine KO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four PrO6 octahedra, and faces with four BiO6 octahedra. There are nine shorter (3.15 Å) and three longer (3.23 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with three equivalent BaO12 cuboctahedra, corners with nine KO12 cuboctahedra, faces with six KO12 cuboctahedra, a faceface with one PrO6 octahedra, and faces with seven BiO6 octahedra. There are a spread of K–O bond distances ranging from 3.07–3.21 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three equivalent KO12 cuboctahedra, corners with nine BaO12 cuboctahedra, faces with six KO12 cuboctahedra, faces with four PrO6 octahedra, and faces with four BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.06–3.20 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three equivalent KO12 cuboctahedra, corners with nine BaO12 cuboctahedra, faces with three equivalent KO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, faces with four equivalent PrO6 octahedra, and faces with four BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.08–3.15 Å. There are two inequivalent Pr4+ sites. In the first Pr4+ site, Pr4+ is bonded to six O2- atoms to form PrO6 octahedra that share corners with six BiO6 octahedra, faces with three equivalent BaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are three shorter (2.32 Å) and three longer (2.36 Å) Pr–O bond lengths. In the second Pr4+ site, Pr4+ is bonded to six O2- atoms to form PrO6 octahedra that share corners with six BiO6 octahedra, faces with three equivalent KO12 cuboctahedra, and faces with five BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are three shorter (2.32 Å) and three longer (2.35 Å) Pr–O bond lengths. There are four inequivalent Bi5+ sites. In the first Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with three equivalent PrO6 octahedra, corners with three equivalent BiO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with seven KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are three shorter (2.11 Å) and three longer (2.20 Å) Bi–O bond lengths. In the second Bi5+ site, Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six PrO6 octahedra, faces with four KO12 cuboctahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All Bi–O bond lengths are 2.12 Å. In the third Bi5+ site, Bi5+ is bonded to six equivalent O2- atoms to form BiO6 octahedra that share corners with six equivalent PrO6 octahedra, faces with two equivalent KO12 cuboctahedra, and faces with six equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 5°. All Bi–O bond lengths are 2.13 Å. In the fourth Bi5+ site, Bi5+ is bonded to six equivalent O2- atoms to form BiO6 octahedra that share corners with six equivalent BiO6 octahedra and faces with eight KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Bi–O bond lengths are 2.20 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one K1+, three equivalent Ba2+, one Pr4+, and one Bi5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two Ba2+, one Pr4+, and one Bi5+ atom. In the third O2- site, O2- is bonded to four K1+ and two Bi5+ atoms to form a mixture of distorted edge, face, and corner-sharing OK4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two equivalent Ba2+, one Pr4+, and one Bi5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Ba2+, one Pr4+, and one Bi5+ atom.

36 MATERIALS SCIENCE↗