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Materials Data on Ti7(Fe3O8)3 by Materials Project

Ti7(Fe3O8)3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–64°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. There are nine inequivalent Fe+2.22+ sites. In the first Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Fe–O bond distances ranging from 2.05–2.23 Å. In the second Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the third Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Fe–O bond distances ranging from 2.10–2.24 Å. In the fourth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Fe–O bond distances ranging from 2.08–2.22 Å. In the fifth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Fe–O bond distances ranging from 2.09–2.24 Å. In the sixth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the seventh Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of Fe–O bond distances ranging from 1.98–2.16 Å. In the eighth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–64°. There are a spread of Fe–O bond distances ranging from 2.07–2.25 Å. In the ninth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the second O2- site, O2- is bonded to two Ti4+ and two Fe+2.22+ atoms to form distorted corner-sharing OTi2Fe2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the sixth O2- site, O2- is bonded to two Ti4+ and two Fe+2.22+ atoms to form distorted OTi2Fe2 trigonal pyramids that share a cornercorner with one OTiFe3 trigonal pyramid and edges with two OTi2Fe2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.22+ atoms. In the eighth O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with three OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.22+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.22+ atoms. In the eighteenth O2- site, O2- is bonded to two Ti4+ and two Fe+2.22+ atoms to form distorted OTi2Fe2 trigonal pyramids that share corners with two OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with four OTi2Fe2 trigonal pyramids and an edgeedge with one OTiFe3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe46(BC3)3 by Materials Project

Fe46(BC3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are forty-six inequivalent Fe sites. In the first Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.53 Å. Both Fe–C bond lengths are 2.12 Å. In the second Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.11 Å. In the third Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.50 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the fourth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.52 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.10 Å. In the fifth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the sixth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two B atoms. The Fe–Fe bond length is 2.50 Å. Both Fe–B bond lengths are 2.11 Å. In the seventh Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.52 Å. Both Fe–C bond lengths are 2.12 Å. In the eighth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.56 Å. There are one shorter (2.11 Å) and one longer (2.12 Å) Fe–C bond lengths. In the ninth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the tenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.11 Å) and one longer (2.12 Å) Fe–C bond lengths. In the eleventh Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the twelfth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.57 Å. Both Fe–C bond lengths are 2.10 Å. In the thirteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.11 Å. In the fourteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.53 Å. Both Fe–C bond lengths are 2.12 Å. In the fifteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.11 Å) and one longer (2.12 Å) Fe–C bond lengths. In the sixteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.54 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the seventeenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.53 Å. The Fe–B bond length is 2.11 Å. The Fe–C bond length is 2.10 Å. In the eighteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the nineteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.52 Å. Both Fe–C bond lengths are 2.12 Å. In the twentieth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. Both Fe–C bond lengths are 2.12 Å. In the twenty-first Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.11 Å. In the twenty-second Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the twenty-third Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.50 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the twenty-fourth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.54 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the twenty-fifth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, two B, and one C atom. The Fe–Fe bond length is 2.41 Å. Both Fe–B bond lengths are 2.10 Å. The Fe–C bond length is 2.04 Å. In the twenty-sixth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.04 Å. In the twenty-seventh Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.43 Å. There are two shorter (2.06 Å) and one longer (2.07 Å) Fe–C bond lengths. In the twenty-eighth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. There are one shorter (2.05 Å) and two longer (2.06 Å) Fe–C bond lengths. In the twenty-ninth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.44 Å. The Fe–B bond length is 2.10 Å. There are one shorter (2.04 Å) and one longer (2.05 Å) Fe–C bond lengths. In the thirtieth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. All Fe–C bond lengths are 2.05 Å. In the thirty-first Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.42 Å. The Fe–B bond length is 2.10 Å. There are one shorter (2.05 Å) and one longer (2.06 Å) Fe–C bond lengths. In the thirty-second Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.11 Å. Both Fe–C bond lengths are 2.04 Å. In the thirty-third Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. There are two shorter (2.05 Å) and one longer (2.06 Å) Fe–C bond lengths. In the thirty-fourth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. There are one shorter (2.05 Å) and two longer (2.06 Å) Fe–C bond lengths. In the thirty-fifth Fe site, Fe is bonded in a 3-coordinate geometry to one Fe, two B, and one C atom. The Fe–Fe bond length is 2.41 Å. Both Fe–B bond lengths are 2.10 Å. The Fe–C bond length is 2.04 Å. In the thirty-sixth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.42 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.04 Å. In the thirty-seventh Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.05 Å. In the thirty-eighth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.44 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.04 Å. In the thirty-ninth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.11 Å. There are one shorter (2.04 Å) and one longer (2.06 Å) Fe–C bond lengths. In the fortieth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.43 Å. There are two shorter (2.05 Å) and one longer (2.06 Å) Fe–C bond lengths. In the forty-first Fe site, Fe is bonded in a 12-coordinate geometry to twelve Fe atoms. In the forty-second Fe site, Fe is bonded in a 12-coordinate geometry to twelve Fe atoms. In the forty-third Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. In the forty-fourth Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. In the forty-fifth Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. In the forty-sixth Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. There are three inequivalent B sites. In the first B site, B is bonded in a 8-coordinate geometry to eight Fe atoms. In the second B site, B is bonded in a 8-coordinate geometry to eight Fe atoms. In the third B site, B is bonded in a 8-coordinate geometry to eight Fe atoms. There are nine inequivalent C sites. In the first C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the second C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the third C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the fourth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the fifth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the sixth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the seventh C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the eighth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the ninth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on FeBi25O39 by Materials Project

Bi25FeO39 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four BiO5 square pyramids. All Fe–O bond lengths are 1.93 Å. There are twenty-five inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.63 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the third Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.47 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.60 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.64 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.60 Å. In the seventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.71 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the ninth Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. All Bi–O bond lengths are 2.12 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.58 Å. In the eleventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the twelfth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with three BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.61 Å. In the thirteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.67 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.69 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.60 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.47 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with three BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.63 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.61 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.67 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.72 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.46 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.63 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.59 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.66 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the seventh O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirteenth O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on KCa4B22H18ClO46 by Materials Project

KCa4B22H18O46Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. K is bonded in a 8-coordinate geometry to six O and two equivalent Cl atoms. There are a spread of K–O bond distances ranging from 2.80–3.33 Å. There are one shorter (3.29 Å) and one longer (3.35 Å) K–Cl bond lengths. There are four inequivalent Ca sites. In the first Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.86 Å. In the second Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.82 Å. In the third Ca site, Ca is bonded in a 9-coordinate geometry to eight O and one Cl atom. There are a spread of Ca–O bond distances ranging from 2.45–2.78 Å. The Ca–Cl bond length is 2.76 Å. In the fourth Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.81 Å. There are twenty-two inequivalent B sites. In the first B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There is one shorter (1.48 Å) and three longer (1.49 Å) B–O bond length. In the second B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.36 Å) and one longer (1.41 Å) B–O bond length. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the eighth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.39 Å) B–O bond length. In the ninth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.52 Å. In the tenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.37 Å) and two longer (1.38 Å) B–O bond length. In the eleventh B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.37 Å) and two longer (1.38 Å) B–O bond length. In the twelfth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.39 Å) B–O bond length. In the thirteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the fourteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.47–1.49 Å. In the fifteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the sixteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.39 Å) B–O bond length. In the seventeenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.38 Å. In the eighteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the nineteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the twentieth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.38 Å) B–O bond length. In the twenty-first B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.52 Å. In the twenty-second B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. There are eighteen inequivalent H sites. In the first H site, H is bonded in a distorted bent 150 degrees geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.66 Å) H–O bond length. In the second H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.68 Å) H–O bond length. In the third H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.62 Å) H–O bond length. In the fourth H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.70 Å) H–O bond length. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the seventh H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.62 Å) H–O bond length. In the eighth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the ninth H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.70 Å) H–O bond length. In the tenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the eleventh H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.66 Å) H–O bond length. In the twelfth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the thirteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fourteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the fifteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the sixteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the seventeenth H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.66 Å) H–O bond length. In the eighteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. There are forty-six inequivalent O sites. In the first O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one K, one Ca, and two B atoms. In the third O site, O is bonded in a bent 120 degrees geometry to one K, one Ca, and two B atoms. In the fourth O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the fifth O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the eighth O site, O is bonded in a 2-coordinate geometry to one Ca, one B, and one H atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the tenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the eleventh O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twelfth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the thirteenth O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to two B and one H atom. In the fifteenth O site, O is bonded in a 2-coordinate geometry to one Ca, one B, and one H atom. In the sixteenth O site, O is bonded in a distorted bent 120 degrees geometry to one K, one Ca, and two B atoms. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the eighteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the nineteenth O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the twenty-first O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the twenty-second O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the twenty-third O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twenty-fourth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twenty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twenty-sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one B, and one H atom. In the twenty-seventh O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the twenty-eighth O site, O is bonded in a distorted bent 120 degrees geometry to two B and one H atom. In the twenty-ninth O site, O is bonded in a distorted trigonal planar geometry to one B and two H atoms. In the thirtieth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the thirty-first O site, O is bonded in a bent 120 degrees geometry to one K, one Ca, and two B atoms. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to two B and one H atom. In the thirty-third O site, O is bonded in a distorted trigonal planar geometry to two B and one H atom. In the thirty-fourth O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the thirty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one B and two H atoms. In the thirty-sixth O site, O is bonded in a 2-coordinate geometry to one B and two H atoms. In the thirty-seventh O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the thirty-eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one B, and one H atom. In the thirty-ninth O site, O is bonded in a distorted water-like geometry to one Ca and two H atoms. In the fortieth O site, O is bonded in a bent 120 degrees geometry to one B and one H atom. In the forty-first O site, O is bonded in a distorted trigonal planar geometry to one B and two H atoms. In the forty-second O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the forty-third O site, O is bonded in a distorted water-like geometry to one K, one Ca, and two H atoms. In the forty-fourth O site, O is bonded in a water-like geometry to one K and two H atoms. In the forty-fifth O site, O is bonded in a bent 120 degrees geometry to one B and one H atom. In the forty-sixth O site, O is bonded in a distorted water-like geometry to one Ca and two H atoms. Cl is bonded in a 1-coordinate geometry to two equivalent K and one Ca atom.

36 MATERIALS SCIENCE↗

Materials Data on Dy3Y5O12 by Materials Project

Dy3Y5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. There are ten inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three DyO6 octahedra, corners with three YO6 octahedra, edges with three DyO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three DyO6 octahedra, corners with three YO6 octahedra, edges with three DyO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are two shorter (2.30 Å) and four longer (2.31 Å) Y–O bond lengths. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the second O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy3Y trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the third O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing ODy3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODyY3 trigonal pyramids and edges with four ODy2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing ODy2Y2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy3Y trigonal pyramids and edges with four ODy2Y2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing ODy2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy3Y trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing ODy3Y trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing ODy2Y2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing ODy3Y trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Gd3Y5O12 by Materials Project

Gd3Y5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.39 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Gd–O bond distances ranging from 2.30–2.38 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the fourth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.37 Å. In the fifth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the sixth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. There are ten inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.28–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are one shorter (2.30 Å) and five longer (2.31 Å) Y–O bond lengths. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the second O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the third O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Y13Ho3O24 by Materials Project

Ho3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form HoO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Ho–O bond lengths are 2.29 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form HoO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are four shorter (2.29 Å) and two longer (2.30 Å) Ho–O bond lengths. In the third Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.26–2.34 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are two shorter (2.30 Å) and four longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are one shorter (2.30 Å) and five longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the sixth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the seventh O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY2Ho2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OY2Ho2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY2Ho2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OY2Ho2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Sm11Y5O24 by Materials Project

Sm11Y5O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.44 Å. In the third Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the fourth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the fifth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.38 Å. In the sixth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with six SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Sm–O bond distances ranging from 2.33–2.43 Å. In the seventh Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sm–O bond distances ranging from 2.32–2.43 Å. In the eighth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.43 Å. In the ninth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.42 Å. In the tenth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Sm–O bond distances ranging from 2.33–2.42 Å. In the eleventh Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, and edges with six SmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Sm–O bond distances ranging from 2.32–2.42 Å. There are five inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.29–2.38 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.28–2.38 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.28–2.39 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, and edges with six SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the second O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm3Y trigonal pyramids. In the third O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 tetrahedra that share corners with two OSm3Y tetrahedra, corners with ten OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the fifth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, and edges with four OSm2Y2 tetrahedra. In the seventh O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the eighth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm2Y2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the tenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm2Y2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm3Y trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm3Y trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OSm2Y2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm3Y trigonal pyramids. In the twentieth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Sm3+ and three Y3+ atoms to form distorted OSmY3 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm2Y2 tetrahedra, and edges with two OSm2Y2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with three OSm2Y2 tetrahedra, and an edgeedge with one OSm4 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyr

36 MATERIALS SCIENCE↗

Materials Data on Gd3Y13O24 by Materials Project

Gd3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.39 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with six YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are two shorter (2.30 Å) and four longer (2.31 Å) Y–O bond lengths. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the third O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OGdY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OGdY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OGd2Y2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on BaPb2(SO4)3 by Materials Project

BaPb2(SO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.12 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–3.35 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.34 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.33 Å. There are eight inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.65–3.12 Å. In the second Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.65–3.13 Å. In the third Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.65–3.10 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.62–3.08 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.63–3.10 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.68–3.07 Å. In the seventh Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.68–3.07 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Pb–O bond distances ranging from 2.68–3.07 Å. There are twelve inequivalent S6+ sites. In the first S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.47 Å) and three longer (1.50 Å) S–O bond length. In the second S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.48 Å) and three longer (1.50 Å) S–O bond length. In the third S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.47 Å) and three longer (1.50 Å) S–O bond length. In the fourth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the fifth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the sixth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the seventh S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.46–1.51 Å. In the eighth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the ninth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the tenth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the eleventh S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.52 Å. In the twelfth S6+ site, S6+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of S–O bond distances ranging from 1.47–1.52 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Pb2+ and one S6+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one Pb2+, and one S6+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one Pb2+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one Pb2+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one Pb2+, and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a single-bond geometry to one Pb2+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-seventh O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the thirty-eighth O2- site, O2- is bonded in a single-bond geometry to three Pb2+ and one S6+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Pb2+ and one S6+ atom. In the fortieth O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-first O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-second O2- site, O2- is bonded in a single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Pb2+, and one S6+ atom. In the forty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Pb2+, and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on KMn2O4 by Materials Project

KMn2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.65 Å. In the second K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.64 Å. In the third K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.65 Å. In the fourth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.64 Å. In the fifth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.65 Å. In the sixth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.65 Å. In the seventh K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.42–2.65 Å. In the eighth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.41–2.65 Å. There are sixteen inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Mn–O bond distances ranging from 1.92–2.32 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.32 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.34 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.15 Å. In the thirteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Mn–O bond distances ranging from 1.92–2.34 Å. In the fourteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.12 Å. In the fifteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. In the sixteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the seventh O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the twelfth O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the thirteenth O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the sixteenth O2- site, O2- is bonded to one K1+ and three Mn+3.50+ atoms to form distorted OKMn3 trigonal pyramids that share corners with three OK2Mn3 trigonal bipyramids, corners with two OKMn3 trigonal pyramids, and edges with five OK2Mn3 trigonal bipyramids. In the seventeenth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, corners with three OKMn3 trigonal pyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with two OKMn3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with three OKMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, corners with three OKMn3 trigonal pyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with two OKMn3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with three OKMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with three OKMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, corners with three OKMn3 trigonal pyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with two OKMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with three OKMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, corners with three OKMn3 trigonal pyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with two OKMn3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with three OKMn3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, corners with three OKMn3 trigonal pyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with two OKMn3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, corners with three OKMn3 trigonal pyramids, edges with four OK2Mn3 trigonal bipyramids, and edges with two OKMn3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to two K1+ and three Mn+3.50+ atoms to form distorted OK2Mn3 trigonal bipyramids that share corners with four OK2Mn3 trigonal bipyramids, edges with four OK2Mn3 trigonal bipyramids, and

36 MATERIALS SCIENCE↗

Materials Data on BiC3O10 by Materials Project

(C3BiO7)2(O2)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of six hydrogen peroxide molecules and one C3BiO7 framework. In the C3BiO7 framework, there are twelve inequivalent C sites. In the first C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.28 Å) C–O bond length. In the second C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.28 Å) C–O bond length. In the third C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.29 Å) C–O bond length. In the fourth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.29 Å) C–O bond length. In the fifth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the sixth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. Both C–O bond lengths are 1.27 Å. In the seventh C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the eighth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the ninth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.25 Å) and one longer (1.28 Å) C–O bond length. In the tenth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.28 Å) C–O bond length. In the eleventh C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. In the twelfth C site, C is bonded in a distorted bent 120 degrees geometry to two O atoms. There is one shorter (1.26 Å) and one longer (1.27 Å) C–O bond length. There are four inequivalent Bi sites. In the first Bi site, Bi is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Bi–O bond distances ranging from 2.27–2.77 Å. In the second Bi site, Bi is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.79 Å. In the third Bi site, Bi is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.78 Å. In the fourth Bi site, Bi is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.76 Å. There are twenty-eight inequivalent O sites. In the first O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the third O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the fourth O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the fifth O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the sixth O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the seventh O site, O is bonded in a distorted single-bond geometry to one C and two Bi atoms. In the eighth O site, O is bonded in a distorted single-bond geometry to one C and two Bi atoms. In the ninth O site, O is bonded in a single-bond geometry to one Bi atom. In the tenth O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the eleventh O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the twelfth O site, O is bonded in a distorted bent 120 degrees geometry to one Bi and one O atom. The O–O bond length is 1.31 Å. In the thirteenth O site, O is bonded in a bent 120 degrees geometry to two O atoms. The O–O bond length is 1.28 Å. In the fourteenth O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the fifteenth O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the sixteenth O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the seventeenth O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the eighteenth O site, O is bonded in a single-bond geometry to one C and one Bi atom. In the nineteenth O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the twenty-first O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the twenty-second O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the twenty-third O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the twenty-fourth O site, O is bonded in a distorted single-bond geometry to one C and one Bi atom. In the twenty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one C and one Bi atom. In the twenty-sixth O site, O is bonded in a distorted single-bond geometry to one C and two Bi atoms. In the twenty-seventh O site, O is bonded in a distorted single-bond geometry to one C and two Bi atoms. In the twenty-eighth O site, O is bonded in a single-bond geometry to one O atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba16Bi16O45 by Materials Project

Ba16Bi16O45 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.92–3.26 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.32 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.94–3.33 Å. In the fourth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.86–3.26 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.05–3.38 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.93–3.21 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight BiO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.10–3.26 Å. In the eighth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.88–3.23 Å. There are sixteen inequivalent Bi+3.62+ sites. In the first Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the second Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.18–2.28 Å. In the third Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the fourth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the fifth Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.27 Å. In the sixth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.28 Å. In the seventh Bi+3.62+ site, Bi+3.62+ is bonded in a square co-planar geometry to four O2- atoms. There are three shorter (2.25 Å) and one longer (2.26 Å) Bi–O bond lengths. In the eighth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the ninth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.28 Å. In the tenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Bi–O bond distances ranging from 2.19–2.27 Å. In the eleventh Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Bi–O bond distances ranging from 2.19–2.25 Å. In the twelfth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Bi–O bond distances ranging from 2.19–2.24 Å. In the thirteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Bi–O bond distances ranging from 2.20–2.27 Å. In the fourteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. In the fifteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Bi–O bond distances ranging from 2.20–2.26 Å. In the sixteenth Bi+3.62+ site, Bi+3.62+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with five BiO6 octahedra and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Bi–O bond distances ranging from 2.19–2.26 Å. There are thirty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Bi+3.62+ atoms. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the fifteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–56°. In the eighteenth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the nineteenth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-first O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the twenty-fourth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Bi+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirtieth O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the thirty-first O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Bi+3.62+ atoms. In the thirty-third O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirty-fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the thirty-fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the thirty-sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-seventh O2- site, O2- is bonded to four Ba2+ and two Bi+3.62+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°.

36 MATERIALS SCIENCE↗

Materials Data on CaTeO3 by Materials Project

CaTeO3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted edge-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.73 Å. In the second Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted edge-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.63 Å. In the third Ca2+ site, Ca2+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.71 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–3.05 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.65 Å. In the sixth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 hexagonal pyramids that share a cornercorner with one CaO7 pentagonal bipyramid, an edgeedge with one CaO6 octahedra, and an edgeedge with one CaO7 pentagonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.42–2.53 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.59 Å. In the eighth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted CaO7 pentagonal bipyramids that share an edgeedge with one CaO6 octahedra and edges with two CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.64 Å. In the ninth Ca2+ site, Ca2+ is bonded to seven O2- atoms to form distorted edge-sharing CaO7 pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.66 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.69 Å. In the eleventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.69 Å. In the twelfth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.72 Å. In the thirteenth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.86 Å. In the fourteenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.34–2.49 Å. In the fifteenth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.71 Å. In the sixteenth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.89 Å. In the seventeenth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.62 Å. In the eighteenth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.80 Å. There are eighteen inequivalent Te4+ sites. In the first Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. All Te–O bond lengths are 1.89 Å. In the second Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is one shorter (1.90 Å) and two longer (1.91 Å) Te–O bond length. In the third Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.57 Å. In the fourth Te4+ site, Te4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There is two shorter (1.89 Å) and one longer (1.90 Å) Te–O bond length. In the fifth Te4+ site, Te4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.90 Å. In the sixth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.90 Å. In the seventh Te4+ site, Te4+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.90–2.54 Å. In the eighth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is two shorter (1.89 Å) and one longer (1.90 Å) Te–O bond length. In the ninth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.77 Å. In the tenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.91 Å. In the eleventh Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.88 Å) and one longer (1.89 Å) Te–O bond length. In the twelfth Te4+ site, Te4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.90 Å. In the thirteenth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.87–1.89 Å. In the fourteenth Te4+ site, Te4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.88 Å) and two longer (1.89 Å) Te–O bond length. In the fifteenth Te4+ site, Te4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.88–1.92 Å. In the sixteenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–1.91 Å. In the seventeenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Te–O bond distances ranging from 1.88–1.90 Å. In the eighteenth Te4+ site, Te4+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Te–O bond distances ranging from 1.89–2.80 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and one Te4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Te4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the seventh O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to three Ca2+ and one Te4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the tenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the eleventh O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the fourteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the sixteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the nineteenth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one Te4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and one Te4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and one Te4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Te4+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the thirty-first O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Te4+ atom. In the thirty-fourth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and one Te4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Te4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ca2+ and one Te4+ atom. In the forty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Te4+ atoms. In the forty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Te4+ atom. In the forty-third O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te trigonal pyramids. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one Te4+ atom. In the forty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Te4+ atom. In the forty-sixth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te trigonal pyramids. In the forty-seventh O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te trigonal pyramids. In the forty-eighth O2- site, O2- is bonded to three Ca2+ and one Te4+ atom to form a mixture of distorted edge and corner-sharing OCa3Te tetrahedra. In the forty-ninth O2- site, O2- i

36 MATERIALS SCIENCE↗

Materials Data on FeHO2 by Materials Project

FeOOH crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Fe–O bond distances ranging from 1.90–2.17 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO5 trigonal bipyramids and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.34 Å. In the third Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with four FeO5 trigonal bipyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.22 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form distorted FeO4 tetrahedra that share corners with two FeO6 octahedra, corners with two FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Fe–O bond distances ranging from 1.87–2.01 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one FeO6 octahedra, and edges with three FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Fe–O bond distances ranging from 1.92–2.12 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.17 Å. In the ninth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of Fe–O bond distances ranging from 1.85–2.18 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO5 trigonal bipyramids and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.21 Å. In the eleventh Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Fe–O bond distances ranging from 1.93–2.12 Å. In the twelfth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one FeO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.16 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Fe–O bond distances ranging from 1.90–2.19 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with five FeO5 trigonal bipyramids, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Fe–O bond distances ranging from 1.91–2.07 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three FeO6 octahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two equivalent FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Fe–O bond distances ranging from 1.88–2.24 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO5 trigonal bipyramids and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.11 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.70 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.56 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.72 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the seventh H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.60 Å) H–O bond length. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.73 Å) H–O bond length. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.73 Å) H–O bond length. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a T-shaped geometry to two Fe3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one H1+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one H1+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted water-like geometry to two Fe3+ and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one H1+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Fe3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe3+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cd(Bi9O14)2 by Materials Project

CdCd(Bi9O14)4 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one cadmium molecule and one Cd(Bi9O14)4 framework. In the Cd(Bi9O14)4 framework, Cd2+ is bonded in a bent 150 degrees geometry to two O2- atoms. There are one shorter (2.68 Å) and one longer (2.75 Å) Cd–O bond lengths. There are thirty-six inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.89 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.71 Å. In the third Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.89 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.72 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.73 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.93 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–3.03 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.22–2.85 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.85 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.68 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.85 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–3.01 Å. In the thirteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.16–2.40 Å. In the fourteenth Bi3+ site, Bi3+ is bonded in a distorted square pyramidal geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.48 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.83 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.69 Å. In the seventeenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.92 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.40 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.71 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.71 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.51 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–2.45 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.46 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.50 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.34 Å. In the twenty-sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.96 Å. In the twenty-seventh Bi3+ site, Bi3+ is bonded in a distorted square pyramidal geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.58 Å. In the twenty-eighth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.74 Å. In the twenty-ninth Bi3+ site, Bi3+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.67 Å. In the thirtieth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.86 Å. In the thirty-first Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.96 Å. In the thirty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–2.78 Å. In the thirty-third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.98 Å. In the thirty-fourth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.91 Å. In the thirty-fifth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.74 Å. In the thirty-sixth Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. All Bi–O bond lengths are 2.12 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Bi3+ atoms. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to five Bi3+ and two O2- atoms. There are one shorter (1.51 Å) and one longer (2.55 Å) O–O bond lengths. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Bi3+ and one O2- atom. The O–O bond length is 1.48 Å. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Bi3+ and one O2- atom. The O–O bond length is 1.48 Å. In the twelfth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Bi3+ and one O2- atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the twenty-first O2- site, O2- is bonded to one Cd2+ and three Bi3+ atoms to form distorted corner-sharing OCdBi3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ and one O2- atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Bi3+ and one O2- atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Bi3+ and one O2- atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the forty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the forty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the forty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Bi3+ atoms. In the forty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cd2+ and two Bi3+ atoms. In the forty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the forty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the forty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the forty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the fiftieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Bi3+ and one O2- atom. The O–O bond length is 1.49 Å. In the fifty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fifty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the fifty-fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Bi3+ and one O2- atom. In the fifty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to th

36 MATERIALS SCIENCE↗

Materials Data on Ta22(CuS12)3 by Materials Project

Ta22(CuS12)3 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-two inequivalent Ta+3.14+ sites. In the first Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are three shorter (2.47 Å) and three longer (2.51 Å) Ta–S bond lengths. In the second Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.50 Å. In the third Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the fourth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.44–2.53 Å. In the fifth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.45–2.50 Å. In the sixth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the seventh Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the eighth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the ninth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.47–2.58 Å. In the tenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ta–S bond distances ranging from 2.46–2.56 Å. In the eleventh Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ta–S bond distances ranging from 2.47–2.51 Å. In the twelfth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.46–2.65 Å. In the thirteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.46–2.58 Å. In the fourteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.44–2.53 Å. In the fifteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ta–S bond distances ranging from 2.47–2.57 Å. In the sixteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ta–S bond distances ranging from 2.47–2.57 Å. In the seventeenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.47–2.58 Å. In the eighteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.46–2.65 Å. In the nineteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.45–2.53 Å. In the twentieth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.46–2.58 Å. In the twenty-first Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ta–S bond distances ranging from 2.45–2.56 Å. In the twenty-second Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. There are three inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.23–2.35 Å. In the second Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are one shorter (2.21 Å) and three longer (2.35 Å) Cu–S bond lengths. In the third Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.22–2.36 Å. There are thirty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to three Ta+3.14+ and three Cu1+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to three Ta+3.14+ and three Cu1+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to three Ta+3.14+ and two equivalent Cu1+ atoms. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the sixteenth S2- site, S2- is bonded to four Ta+3.14+ atoms to form distorted STa4 trigonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, corners with two equivalent STa4 trigonal pyramids, and edges with two equivalent STa6 pentagonal pyramids. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twentieth S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, edges with six STa6 pentagonal pyramids, and edges with two equivalent STa4 trigonal pyramids. In the twenty-first S2- site, S2- is bonded in a 5-coordinate geometry to five Ta+3.14+ atoms. In the twenty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the twenty-third S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twenty-fourth S2- site, S2- is bonded to six Ta+3.14+ atoms to form a mixture of distorted edge and corner-sharing STa6 pentagonal pyramids. In the twenty-fifth S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share corners with two equivalent STa6 pentagonal pyramids, a cornercorner with one STa4 trigonal pyramid, and edges with seven STa6 pentagonal pyramids. In the twenty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twenty-seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twenty-eighth S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share corners with two equivalent STa6 pentagonal pyramids, a cornercorner with one STa4 trigonal pyramid, and edges with seven STa6 pentagonal pyramids. In the twenty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry to five Ta+3.14+ atoms. In the thirty-first S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, edges with six STa6 pentagonal pyramids, and edges with two equivalent STa4 trigonal pyramids. In the thirty-second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the thirty-third S2- site, S2- is bonded to four Ta+3.14+ atoms to form distorted STa4 trigonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, corners with two equivalent STa4 trigonal pyramids, and edges with two equivalent STa6 pentagonal pyramids. In the thirty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti3Fe5O12 by Materials Project

Ti3Fe5O12 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three FeO6 octahedra, corners with six TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Ti–O bond distances ranging from 1.88–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Ti–O bond distances ranging from 1.85–2.24 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–63°. There are a spread of Ti–O bond distances ranging from 1.83–2.25 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Ti–O bond distances ranging from 1.86–2.30 Å. There are ten inequivalent Fe+2.40+ sites. In the first Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the second Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Fe–O bond distances ranging from 1.97–2.16 Å. In the third Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There are a spread of Fe–O bond distances ranging from 1.98–2.18 Å. In the fourth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three TiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. In the fifth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. There are a spread of Fe–O bond distances ranging from 2.06–2.27 Å. In the sixth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Fe–O bond distances ranging from 2.07–2.31 Å. In the seventh Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the eighth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. In the ninth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the tenth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Fe–O bond distances ranging from 2.08–2.25 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the sixth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the ninth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with three OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the eleventh O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Ti4+ and two Fe+2.40+ atoms to form distorted OTi2Fe2 trigonal pyramids that share corners with three OTi2Fe2 trigonal pyramids and an edgeedge with one OTiFe3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the fifteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the seventeenth O2- site, O2- is bonded to two Ti4+ and two Fe+2.40+ atoms to form a mixture of distorted edge and corner-sharing OTi2Fe2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms.

36 MATERIALS SCIENCE↗