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Materials Data on Li9Cr12Ni7O48 by Materials Project

Li9Cr12Ni7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent NiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one NiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 66–71°. There are a spread of Li–O bond distances ranging from 2.13–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one NiO6 octahedra, and corners with six CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–73°. There are a spread of Li–O bond distances ranging from 2.10–2.31 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.07–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two NiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent NiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. There are twelve inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–61°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–59°. There are a spread of Cr–O bond distances ranging from 1.63–1.70 Å. In the third Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–59°. There are a spread of Cr–O bond distances ranging from 1.63–1.70 Å. In the fourth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NiO6 octahedra, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the fifth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two NiO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.65–1.68 Å. In the sixth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–60°. There are a spread of Cr–O bond distances ranging from 1.66–1.73 Å. In the seventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three NiO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–58°. There is one shorter (1.66 Å) and three longer (1.68 Å) Cr–O bond length. In the eighth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two NiO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.65–1.69 Å. In the ninth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the tenth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two NiO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 28–59°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the eleventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two NiO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 28–58°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the twelfth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–61°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. There are seven inequivalent Ni+2.14+ sites. In the first Ni+2.14+ site, Ni+2.14+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ni–O bond distances ranging from 2.01–2.35 Å. In the second Ni+2.14+ site, Ni+2.14+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Ni–O bond distances ranging from 2.04–2.09 Å. In the third Ni+2.14+ site, Ni+2.14+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.10 Å. In the fourth Ni+2.14+ site, Ni+2.14+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.16 Å. In the fifth Ni+2.14+ site, Ni+2.14+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ni–O bond distances ranging from 2.03–2.14 Å. In the sixth Ni+2.14+ site, Ni+2.14+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ni–O bond distances ranging from 2.03–2.14 Å. In the seventh Ni+2.14+ site, Ni+2.14+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Ni–O bond distances ranging from 2.03–2.09 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Ni+2.14+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to

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 six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Fe–O bond distances ranging from 1.95–2.33 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Fe–O bond distances ranging from 2.03–2.10 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–O bond distances ranging from 1.95–2.16 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–O bond distances ranging from 1.94–2.45 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Fe–O bond distances ranging from 1.97–2.17 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Fe–O bond distances ranging from 1.97–2.21 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–O bond distances ranging from 1.97–2.14 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Fe–O bond distances ranging from 1.95–2.16 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Fe–O bond distances ranging from 1.99–2.25 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Fe–O bond distances ranging from 2.01–2.13 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Fe–O bond distances ranging from 1.94–2.47 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Fe–O bond distances ranging from 1.99–2.24 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Fe–O bond distances ranging from 1.95–2.14 Å. There are sixteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.54 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 0.98 Å. In the third 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 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 one O2- atom. The H–O bond length is 0.98 Å. In the sixth 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 seventh 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 eighth 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 ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the tenth 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 eleventh 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 twelfth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.11 Å) and one longer (1.36 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 1.00 Å. In the fourteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.58 Å) H–O bond length. In the fifteenth H1+ site, H1+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.60 Å) H–O bond length. 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 distorted trigonal non-coplanar geometry to three 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 trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond 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 distorted single-bond geometry to three 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 trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to three Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate 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 trigonal planar geometry to three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe3+ atoms. 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 three 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 1-coordinate geometry to three Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to three 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 Li5Mo15S19 by Materials Project

Li5Mo15S19 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 1-coordinate geometry to seven S2- atoms. There are a spread of Li–S bond distances ranging from 2.39–3.23 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with eight MoS5 square pyramids, edges with four MoS5 square pyramids, and faces with two LiS6 octahedra. There are a spread of Li–S bond distances ranging from 2.48–2.86 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with eight MoS5 square pyramids, edges with four MoS5 square pyramids, and faces with two LiS6 octahedra. There are a spread of Li–S bond distances ranging from 2.48–2.86 Å. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share corners with eight MoS5 square pyramids, edges with four MoS5 square pyramids, and faces with two LiS6 octahedra. There are a spread of Li–S bond distances ranging from 2.48–2.86 Å. There are nine inequivalent Mo+2.20+ sites. In the first Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with three MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with five MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Mo–S bond distances ranging from 2.44–2.59 Å. In the second Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with three MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with five MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 29–52°. There are a spread of Mo–S bond distances ranging from 2.44–2.59 Å. In the third Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with three MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with five MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 29–51°. There are a spread of Mo–S bond distances ranging from 2.44–2.58 Å. In the fourth Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with four MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with three MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mo–S bond distances ranging from 2.41–2.61 Å. In the fifth Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with four MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with three MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mo–S bond distances ranging from 2.41–2.61 Å. In the sixth Mo+2.20+ site, Mo+2.20+ is bonded to five S2- atoms to form MoS5 square pyramids that share corners with two LiS6 octahedra, corners with four MoS5 square pyramids, an edgeedge with one LiS6 octahedra, and edges with three MoS5 square pyramids. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mo–S bond distances ranging from 2.41–2.61 Å. In the seventh Mo+2.20+ site, Mo+2.20+ is bonded in a see-saw-like geometry to four S2- atoms. There are a spread of Mo–S bond distances ranging from 2.46–2.48 Å. In the eighth Mo+2.20+ site, Mo+2.20+ is bonded in a see-saw-like geometry to four S2- atoms. There are a spread of Mo–S bond distances ranging from 2.46–2.48 Å. In the ninth Mo+2.20+ site, Mo+2.20+ is bonded in a see-saw-like geometry to four S2- atoms. There are a spread of Mo–S bond distances ranging from 2.46–2.48 Å. There are eleven inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to three Li1+ and three Mo+2.20+ atoms. In the second S2- site, S2- is bonded in a 1-coordinate geometry to one Li1+ and three Mo+2.20+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the fifth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to one Li1+ and four Mo+2.20+ atoms. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to one Li1+ and four Mo+2.20+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to one Li1+ and four Mo+2.20+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the tenth S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms. In the eleventh S2- site, S2- is bonded in a 6-coordinate geometry to two Li1+ and four Mo+2.20+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mg11(WO4)12 by Materials Project

Li5Mg11(WO4)12 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.20–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.18–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.16–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.19–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. There are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mg–O bond distances ranging from 2.07–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.18 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mg–O bond distances ranging from 2.03–2.25 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mg–O bond distances ranging from 2.05–2.19 Å. There are eight inequivalent W+5.75+ sites. In the first W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 34–64°. There are a spread of W–O bond distances ranging from 1.85–1.92 Å. In the second W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MgO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of W–O bond distances ranging from 1.79–1.86 Å. In the third W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with five MgO6 octahedra and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–61°. There are a spread of W–O bond distances ranging from 1.80–1.84 Å. In the fourth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 32–62°. There are a spread of W–O bond distances ranging from 1.87–1.92 Å. In the fifth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of W–O bond distances ranging from 1.79–1.86 Å. In the sixth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MgO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–61°. There are a spread of W–O bond distances ranging from 1.80–1.85 Å. In the seventh W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with five MgO6 octahedra and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–60°. There are a spread of W–O bond distances ranging from 1.79–1.85 Å. In the eighth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 33–63°. There are a spread of W–O bond distances ranging from 1.89–1.91 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on KLi3Ca7Ti2(Si6O19)2 by Materials Project

KLi3Ca7Ti2(Si6O19)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. K is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of K–O bond distances ranging from 3.12–3.25 Å. There are three inequivalent Li sites. In the first Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.93–1.95 Å. In the second Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.93–1.95 Å. In the third Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–1.96 Å. There are eight inequivalent Ca sites. In the first Ca site, Ca is bonded in a 8-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.48 Å. In the second Ca site, Ca is bonded in a 8-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.47 Å. In the third Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with five SiO4 tetrahedra and edges with five CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.37–2.48 Å. In the fourth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra and edges with five CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.42–2.47 Å. In the fifth Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with five SiO4 tetrahedra and edges with five CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.47 Å. In the sixth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with five SiO4 tetrahedra and edges with five CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.36–2.49 Å. In the seventh Ca site, Ca is bonded to six O atoms to form distorted CaO6 octahedra that share corners with five SiO4 tetrahedra and edges with five CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.47 Å. In the eighth Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra and edges with five CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.42–2.48 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six SiO4 tetrahedra. There is three shorter (1.95 Å) and three longer (1.97 Å) Ti–O bond length. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six SiO4 tetrahedra. There is three shorter (1.95 Å) and three longer (1.97 Å) Ti–O bond length. There are twelve inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–60°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–72°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–73°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–70°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–69°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–72°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–60°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with two CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–70°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–70°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–73°. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the second O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the third O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to one K and two Si atoms. In the fifth O site, O is bonded in a distorted T-shaped geometry to one Li, one Ti, and one Si atom. In the sixth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the seventh O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the ninth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the tenth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the twelfth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the fifteenth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the seventeenth O site, O is bonded in a distorted T-shaped geometry to one Li, one Ti, and one Si atom. In the eighteenth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the twenty-first O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the twenty-third O site, O is bonded in a distorted T-shaped geometry to one Li, one Ti, and one Si atom. In the twenty-fourth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the twenty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one K and two Si atoms. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the twenty-seventh O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the twenty-ninth O site, O is bonded in a distorted T-shaped geometry to one Li, one Ti, and one Si atom. In the thirtieth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the thirty-third O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the thirty-fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Ti, and one Si atom. In the thirty-sixth O site, O is bonded to three Ca and one Si atom to form a mixture of distorted edge and corner-sharing OCa3Si tetrahedra. In the thirty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms. In the thirty-eighth O site, O is bonded in a trigonal non-coplanar geometry to three Ca atoms.

36 MATERIALS SCIENCE↗

Materials Data on La2Cr2O5 by Materials Project

La2Cr2O5 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.86 Å. In the second La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.88 Å. In the third La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.88 Å. In the fourth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.86 Å. There are four inequivalent Cr2+ sites. In the first Cr2+ site, Cr2+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent CrO6 octahedra and corners with two CrO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 25–26°. There are two shorter (2.01 Å) and four longer (2.02 Å) Cr–O bond lengths. In the second Cr2+ site, Cr2+ is bonded to four O2- atoms to form CrO4 trigonal pyramids that share corners with two equivalent CrO6 octahedra and corners with two equivalent CrO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cr–O bond distances ranging from 2.01–2.15 Å. In the third Cr2+ site, Cr2+ is bonded to four O2- atoms to form distorted CrO4 trigonal pyramids that share corners with two equivalent CrO6 octahedra and corners with two equivalent CrO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cr–O bond distances ranging from 2.02–2.14 Å. In the fourth Cr2+ site, Cr2+ is bonded to four O2- atoms to form CrO4 trigonal pyramids that share corners with two equivalent CrO6 octahedra and corners with two equivalent CrO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cr–O bond distances ranging from 2.01–2.15 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to two La3+ and two equivalent Cr2+ atoms to form distorted OLa2Cr2 trigonal pyramids that share corners with two equivalent OLa4Cr2 octahedra, corners with four OLa2Cr2 trigonal pyramids, an edgeedge with one OLa4Cr2 octahedra, and edges with two equivalent OLa2Cr2 trigonal pyramids. The corner-sharing octahedral tilt angles are 60°. In the second O2- site, O2- is bonded to two La3+ and two equivalent Cr2+ atoms to form distorted OLa2Cr2 trigonal pyramids that share corners with two equivalent OLa4Cr2 octahedra, corners with four OLa2Cr2 trigonal pyramids, an edgeedge with one OLa4Cr2 octahedra, and edges with two equivalent OLa2Cr2 trigonal pyramids. The corner-sharing octahedra tilt angles range from 60–61°. In the third O2- site, O2- is bonded to two La3+ and two equivalent Cr2+ atoms to form distorted OLa2Cr2 trigonal pyramids that share corners with two equivalent OLa4Cr2 octahedra, corners with four OLa2Cr2 trigonal pyramids, an edgeedge with one OLa4Cr2 octahedra, and edges with two equivalent OLa2Cr2 trigonal pyramids. The corner-sharing octahedra tilt angles range from 60–61°. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr2+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr2+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr2+ atoms. The O–Cr bond length is 2.01 Å. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr2+ atoms. The O–Cr bond length is 2.02 Å. In the eighth O2- site, O2- is bonded to four La3+ and two Cr2+ atoms to form distorted OLa4Cr2 octahedra that share corners with four OLa2Cr2 trigonal pyramids, edges with two equivalent OLa2Cr2 trigonal pyramids, and faces with two equivalent OLa4Cr2 octahedra. In the ninth O2- site, O2- is bonded to four La3+ and two Cr2+ atoms to form distorted OLa4Cr2 octahedra that share corners with four equivalent OLa2Cr2 trigonal pyramids, edges with two OLa2Cr2 trigonal pyramids, and faces with two equivalent OLa4Cr2 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Co5(P2O7)4 by Materials Project

Co5(P2O7)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Co+3.20+ sites. In the first Co+3.20+ site, Co+3.20+ is bonded to four O2- atoms to form distorted CoO4 trigonal pyramids that share corners with four PO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.82–1.92 Å. In the second Co+3.20+ site, Co+3.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six PO4 tetrahedra and edges with two CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.22 Å. In the third Co+3.20+ site, Co+3.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–2.10 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one CoO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one CoO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two equivalent CoO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+3.20+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+3.20+ and one P5+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+3.20+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Co+3.20+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co+3.20+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Co+3.20+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Co+3.20+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Co+3.20+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Co+3.20+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co+3.20+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaTmCo4O7 by Materials Project

BaTmCo4O7 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. Ba2+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.20 Å. Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with twelve CoO4 tetrahedra. There are a spread of Tm–O bond distances ranging from 2.20–2.31 Å. There are four inequivalent Co+2.25+ sites. In the first Co+2.25+ site, Co+2.25+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three equivalent TmO6 octahedra and corners with six CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Co–O bond distances ranging from 1.94–2.00 Å. In the second Co+2.25+ site, Co+2.25+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three equivalent TmO6 octahedra and corners with six CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Co–O bond distances ranging from 1.94–2.00 Å. In the third Co+2.25+ site, Co+2.25+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three equivalent TmO6 octahedra and corners with six CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Co–O bond distances ranging from 1.94–1.99 Å. In the fourth Co+2.25+ site, Co+2.25+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three equivalent TmO6 octahedra and corners with six CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Co–O bond distances ranging from 1.87–1.94 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Ba2+, one Tm3+, and two Co+2.25+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Ba2+, one Tm3+, and two Co+2.25+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Ba2+, one Tm3+, and two Co+2.25+ atoms. In the fourth O2- site, O2- is bonded in a tetrahedral geometry to four Co+2.25+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Tm3+, and two Co+2.25+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Tm3+, and two Co+2.25+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Tm3+, and two Co+2.25+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti7Fe13O30 by Materials Project

Ti7Fe13O30 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 three equivalent TiO6 octahedra, corners with six FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. 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 three equivalent TiO6 octahedra, corners with six FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–67°. There are a spread of Ti–O bond distances ranging from 1.83–2.31 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–66°. There are a spread of Ti–O bond distances ranging from 1.84–2.29 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six FeO6 octahedra, edges with three FeO6 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 1.85–2.23 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–65°. There are a spread of Ti–O bond distances ranging from 1.85–2.19 Å. In the seventh 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 40–60°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. There are thirteen inequivalent Fe+2.46+ sites. In the first Fe+2.46+ site, Fe+2.46+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent TiO6 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 1.95–2.13 Å. In the second Fe+2.46+ site, Fe+2.46+ is bonded to six O2- atoms to form distorted FeO6 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 42–63°. There are a spread of Fe–O bond distances ranging from 2.07–2.24 Å. In the third Fe+2.46+ site, Fe+2.46+ 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 46–63°. There are a spread of Fe–O bond distances ranging from 1.97–2.22 Å. In the fourth Fe+2.46+ site, Fe+2.46+ 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 equivalent FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–67°. There are a spread of Fe–O bond distances ranging from 2.06–2.24 Å. In the fifth Fe+2.46+ site, Fe+2.46+ 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 equivalent FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. In the sixth Fe+2.46+ site, Fe+2.46+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent TiO6 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 1.95–2.15 Å. In the seventh Fe+2.46+ site, Fe+2.46+ 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 FeO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Fe–O bond distances ranging from 2.10–2.26 Å. In the eighth Fe+2.46+ site, Fe+2.46+ is bonded to six O2- atoms to form distorted FeO6 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 42–65°. There are a spread of Fe–O bond distances ranging from 2.05–2.24 Å. In the ninth Fe+2.46+ site, Fe+2.46+ 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 47–65°. There are a spread of Fe–O bond distances ranging from 1.97–2.22 Å. In the tenth Fe+2.46+ site, Fe+2.46+ 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 equivalent FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Fe–O bond distances ranging from 2.10–2.25 Å. In the eleventh Fe+2.46+ site, Fe+2.46+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Fe–O bond distances ranging from 2.06–2.27 Å. In the twelfth Fe+2.46+ site, Fe+2.46+ is bonded to six O2- atoms to form distorted FeO6 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 41–63°. There are a spread of Fe–O bond distances ranging from 1.92–2.24 Å. In the thirteenth Fe+2.46+ site, Fe+2.46+ 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 49–63°. There are a spread of Fe–O bond distances ranging from 1.97–2.22 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.46+ atoms. In the second O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with four OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the fifth O2- site, O2- is bonded to two Ti4+ and two Fe+2.46+ atoms to form a mixture of distorted edge and corner-sharing OTi2Fe2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ 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+2.46+ atoms. In the eighth O2- site, O2- is bonded to two Ti4+ and two Fe+2.46+ atoms to form a mixture of distorted edge and corner-sharing OTi2Fe2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.46+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ti4+ and three Fe+2.46+ atoms. In the thirteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.46+ atoms. In the sixteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with four OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.46+ atoms. In the nineteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.46+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.46+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Fe+2.46+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.46+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.46+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.46+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Ti4+ and three Fe+2.46+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with four OTiFe3 trigonal pyramids and an edgeedge with one OTi2Fe2 trigonal pyramid. In the twenty-ninth

36 MATERIALS SCIENCE↗

Materials Data on Na3Mg2Mn4Be6Si9(SnO13)3 by Materials Project

Na3Mg2Be6Mn4Si9(SnO13)3 is Esseneite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.50 Å. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.49 Å. In the third Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.49 Å. There are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two equivalent BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two equivalent BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mg–O bond distances ranging from 2.09–2.17 Å. There are six inequivalent Be2+ sites. In the first Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Be–O bond distances ranging from 1.55–1.73 Å. In the second Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Be–O bond distances ranging from 1.55–1.75 Å. In the third Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Be–O bond distances ranging from 1.55–1.73 Å. In the fourth Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MnO6 octahedra. There are a spread of Be–O bond distances ranging from 1.54–1.74 Å. In the fifth Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Be–O bond distances ranging from 1.55–1.73 Å. In the sixth Be2+ site, Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share a cornercorner with one BeO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MnO6 octahedra. There are a spread of Be–O bond distances ranging from 1.54–1.74 Å. There are five inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 2.13–2.19 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 2.16–2.19 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two equivalent BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 2.15–2.20 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Mn–O bond distances ranging from 2.13–2.19 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, an edgeedge with one SiO4 tetrahedra, and edges with two equivalent BeO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 2.13–2.19 Å. There are three inequivalent Sn+3.33+ sites. In the first Sn+3.33+ site, Sn+3.33+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two MgO6 octahedra, corners with two MnO6 octahedra, and corners with six SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Sn–O bond distances ranging from 2.01–2.11 Å. In the second Sn+3.33+ site, Sn+3.33+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three MnO6 octahedra, and corners with six SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Sn–O bond distances ranging from 2.00–2.11 Å. In the third Sn+3.33+ site, Sn+3.33+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three MnO6 octahedra, and corners with six SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Sn–O bond distances ranging from 2.00–2.11 Å. There are eleven inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two SnO6 octahedra, corners with two BeO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent SnO6 octahedra, corners with two equivalent BeO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two SnO6 octahedra, corners with two BeO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent SnO6 octahedra, corners with two equivalent BeO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent SnO6 octahedra, corners with two equivalent BeO4 tetrahedra, and an edgeedge with one MgO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra, corners with two SnO6 octahedra, corners with two BeO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There is two shorter (1.62 Å) and two longer (1.69 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent SnO6 octahedra, corners with two equivalent BeO4 tetrahedra, and an edgeedge with one MgO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two SnO6 octahedra, corners with two BeO4 tetrahedra, and an edgeedge with one MgO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There is two shorter (1.63 Å) and two longer (1.68 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two SnO6 octahedra, corners with three MnO6 octahedra, and corners with two BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–63°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two MnO6 octahedra, corners with two SnO6 octahedra, and corners with two BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–63°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent SnO6 octahedra, corners with three MnO6 octahedra, and corners with two BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–63°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn+3.33+ and one Si4+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn+3.33+ and one Si4+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn+3.33+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn+3.33+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn+3.33+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn+3.33+ and one Si4+ atom. In the seventh O2- site, O2- is bonded to one Na1+, one Mg2+, one Sn+3.33+, and one Si4+ atom to form a mixture of distorted corner and edge-sharing ONaMgSiSn

36 MATERIALS SCIENCE↗

Materials Data on BaSm5Al3Si9N20O by Materials Project

BaSm5Al3Si9N20O crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ba2+ is bonded in a body-centered cubic geometry to six N3- and two equivalent O2- atoms. There are a spread of Ba–N bond distances ranging from 3.13–3.24 Å. Both Ba–O bond lengths are 3.09 Å. There are five inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Sm–N bond distances ranging from 2.51–2.82 Å. In the second Sm3+ site, Sm3+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Sm–N bond distances ranging from 2.51–2.81 Å. In the third Sm3+ site, Sm3+ is bonded to five N3- and one O2- atom to form SmN5O octahedra that share corners with two SmN5O octahedra, corners with three AlN4 tetrahedra, and corners with seven SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Sm–N bond distances ranging from 2.42–2.51 Å. The Sm–O bond length is 2.38 Å. In the fourth Sm3+ site, Sm3+ is bonded to five N3- and one O2- atom to form SmN5O octahedra that share corners with two SmN5O octahedra, corners with three AlN4 tetrahedra, and corners with seven SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Sm–N bond distances ranging from 2.36–2.51 Å. The Sm–O bond length is 2.39 Å. In the fifth Sm3+ site, Sm3+ is bonded to five N3- and one O2- atom to form SmN5O octahedra that share corners with two SmN5O octahedra, corners with three AlN4 tetrahedra, and corners with seven SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are a spread of Sm–N bond distances ranging from 2.37–2.51 Å. The Sm–O bond length is 2.39 Å. There are three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three SmN5O octahedra and corners with six SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–67°. There are a spread of Al–N bond distances ranging from 1.84–2.06 Å. In the second Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three SmN5O octahedra and corners with six SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–66°. There are a spread of Al–N bond distances ranging from 1.83–2.05 Å. In the third Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three SmN5O octahedra and corners with six SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–66°. There are a spread of Al–N bond distances ranging from 1.83–2.04 Å. There are nine inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SmN5O octahedra, corners with two AlN4 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SmN5O octahedra, corners with two AlN4 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Si–N bond distances ranging from 1.69–1.82 Å. In the third Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SmN5O octahedra, corners with two AlN4 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SmN5O octahedra, corners with two AlN4 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the fifth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SmN5O octahedra, corners with two AlN4 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Si–N bond distances ranging from 1.69–1.82 Å. In the sixth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SmN5O octahedra, corners with two AlN4 tetrahedra, and corners with five SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the seventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SmN5O octahedra, corners with two equivalent AlN4 tetrahedra, and corners with four SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Si–N bond distances ranging from 1.72–1.93 Å. In the eighth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SmN5O octahedra, corners with two equivalent AlN4 tetrahedra, and corners with four SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Si–N bond distances ranging from 1.71–1.91 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SmN5O octahedra, corners with two equivalent AlN4 tetrahedra, and corners with four SiN4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Si–N bond distances ranging from 1.72–1.91 Å. There are twenty inequivalent N3- sites. In the first N3- site, N3- is bonded in a 5-coordinate geometry to three Sm3+, one Al3+, and one Si4+ atom. In the second N3- site, N3- is bonded in a 5-coordinate geometry to three Sm3+, one Al3+, and one Si4+ atom. In the third N3- site, N3- is bonded in a 5-coordinate geometry to three Sm3+, one Al3+, and one Si4+ atom. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to two Sm3+, one Al3+, and one Si4+ atom. In the fifth N3- site, N3- is bonded in a 4-coordinate geometry to two Sm3+, one Al3+, and one Si4+ atom. In the sixth N3- site, N3- is bonded to two Sm3+ and two Si4+ atoms to form distorted NSm2Si2 tetrahedra that share corners with five NSmSi3 tetrahedra and a cornercorner with one OBa2Sm3 trigonal bipyramid. In the seventh N3- site, N3- is bonded to two Sm3+ and two Si4+ atoms to form distorted NSm2Si2 tetrahedra that share corners with six NSmSi3 tetrahedra and a cornercorner with one OBa2Sm3 trigonal bipyramid. In the eighth N3- site, N3- is bonded in a 4-coordinate geometry to two Sm3+, one Al3+, and one Si4+ atom. In the ninth N3- site, N3- is bonded to two Sm3+ and two Si4+ atoms to form distorted NSm2Si2 tetrahedra that share corners with five NSmSi3 tetrahedra and a cornercorner with one OBa2Sm3 trigonal bipyramid. In the tenth N3- site, N3- is bonded to one Al3+ and three Si4+ atoms to form corner-sharing NAlSi3 tetrahedra. In the eleventh N3- site, N3- is bonded to one Al3+ and three Si4+ atoms to form corner-sharing NAlSi3 tetrahedra. In the twelfth N3- site, N3- is bonded to one Al3+ and three Si4+ atoms to form corner-sharing NAlSi3 tetrahedra. In the thirteenth N3- site, N3- is bonded in a 3-coordinate geometry to one Ba2+, one Sm3+, and two Si4+ atoms. In the fourteenth N3- site, N3- is bonded in a 3-coordinate geometry to one Ba2+, one Sm3+, and two Si4+ atoms. In the fifteenth N3- site, N3- is bonded in a 3-coordinate geometry to one Ba2+, one Sm3+, one Al3+, and one Si4+ atom. In the sixteenth N3- site, N3- is bonded in a 3-coordinate geometry to one Ba2+, one Sm3+, one Al3+, and one Si4+ atom. In the seventeenth N3- site, N3- is bonded in a 3-coordinate geometry to one Ba2+, one Sm3+, and two Si4+ atoms. In the eighteenth N3- site, N3- is bonded in a 3-coordinate geometry to one Ba2+, one Sm3+, one Al3+, and one Si4+ atom. In the nineteenth N3- site, N3- is bonded to one Sm3+ and three Si4+ atoms to form distorted corner-sharing NSmSi3 tetrahedra. In the twentieth N3- site, N3- is bonded to one Sm3+ and three Si4+ atoms to form distorted corner-sharing NSmSi3 tetrahedra. O2- is bonded to two equivalent Ba2+ and three Sm3+ atoms to form distorted OBa2Sm3 trigonal bipyramids that share corners with three NSm2Si2 tetrahedra and corners with two equivalent OBa2Sm3 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Sr(FeO3)5 by Materials Project

Ba4Sr(FeO3)5 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight FeO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.89 Å. In the second Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight FeO6 octahedra. There are eight shorter (2.84 Å) and four longer (2.86 Å) Ba–O bond lengths. Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent FeO6 octahedra. There are eight shorter (2.76 Å) and four longer (2.84 Å) Sr–O bond lengths. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.95–2.01 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.01–2.08 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.00 Å) and four longer (2.01 Å) Fe–O bond lengths. There are six inequivalent O sites. In the first O site, O is bonded in a distorted linear geometry to four equivalent Sr and two equivalent Fe atoms. In the second O site, O is bonded to four equivalent Ba and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the third O site, O is bonded to four equivalent Ba and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fourth O site, O is bonded to two equivalent Ba, two equivalent Sr, and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OBa2Sr2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fifth O site, O is bonded to four Ba and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the sixth O site, O is bonded to four equivalent Ba and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°.

36 MATERIALS SCIENCE↗

Materials Data on Sr10Fe10O29 by Materials Project

Sr10Fe10O29 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with six FeO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.71–3.03 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.80 Å. In the third Sr site, Sr is bonded in a distorted q6 geometry to ten O atoms. There are a spread of Sr–O bond distances ranging from 2.68–2.70 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with three FeO6 octahedra, corners with two equivalent FeO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Fe–O bond distances ranging from 1.88–1.99 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra and faces with eight equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.95 Å) and two longer (1.99 Å) Fe–O bond length. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra, corners with two equivalent FeO5 square pyramids, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.95–2.01 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra and faces with eight equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.95 Å) and two longer (1.97 Å) Fe–O bond length. There are fourteen inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to four Sr and two Fe atoms. In the second O site, O is bonded to four Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the third O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fourth O site, O is bonded in a distorted linear geometry to four equivalent Sr and two Fe atoms. In the fifth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the sixth O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the seventh O site, O is bonded to four equivalent Sr and two Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the eighth O site, O is bonded to four equivalent Sr and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded in a 6-coordinate geometry to four Sr and two equivalent Fe atoms. In the tenth O site, O is bonded in a distorted linear geometry to four Sr and two equivalent Fe atoms. In the eleventh O site, O is bonded in a distorted linear geometry to four equivalent Sr and two equivalent Fe atoms. In the twelfth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the thirteenth O site, O is bonded to four Sr and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the fourteenth O site, O is bonded to four equivalent Sr and two equivalent Fe atoms to form a mixture of distorted corner, edge, and face-sharing OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°.

36 MATERIALS SCIENCE↗

Materials Data on TaNi11(BO5)4 by Materials Project

TaNi11(BO5)4 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with four NiO6 octahedra and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Ta–O bond distances ranging from 1.92–2.19 Å. There are seven inequivalent Ni+2.09+ sites. In the first Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with two equivalent NiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the second Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–16°. There are a spread of Ni–O bond distances ranging from 2.04–2.14 Å. In the third Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, edges with two equivalent TaO6 octahedra, and edges with four equivalent NiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are four shorter (2.09 Å) and two longer (2.11 Å) Ni–O bond lengths. In the fourth Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three NiO6 octahedra, edges with two equivalent TaO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Ni–O bond distances ranging from 2.05–2.14 Å. In the fifth Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Ni–O bond distances ranging from 2.04–2.13 Å. In the sixth Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Ni–O bond distances ranging from 2.04–2.14 Å. In the seventh Ni+2.09+ site, Ni+2.09+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with two NiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Ni–O bond distances ranging from 2.00–2.13 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Ni+2.09+ and one B3+ atom. In the second O2- site, O2- is bonded to five Ni+2.09+ atoms to form a mixture of corner and edge-sharing ONi5 square pyramids. In the third O2- site, O2- is bonded to five Ni+2.09+ atoms to form ONi5 square pyramids that share corners with four ONi5 square pyramids, a cornercorner with one OTaNi3 tetrahedra, and edges with four ONi5 square pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ta5+, two Ni+2.09+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ni+2.09+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ni+2.09+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ni+2.09+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ta5+ and three Ni+2.09+ atoms. In the ninth O2- site, O2- is bonded to one Ta5+ and three Ni+2.09+ atoms to form distorted OTaNi3 tetrahedra that share a cornercorner with one ONi5 square pyramid and corners with three equivalent OTaNi3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ni+2.09+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Fe26O41 by Materials Project

Ba3Fe26O41 is beta indium sulfide-derived structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent FeO6 octahedra, edges with three FeO6 octahedra, edges with three equivalent FeO4 tetrahedra, faces with three equivalent BaO12 cuboctahedra, faces with six FeO6 octahedra, and a faceface with one FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ba–O bond distances ranging from 2.81–3.27 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, edges with six equivalent FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six equivalent FeO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.92–3.02 Å. There are eleven inequivalent Fe+2.92+ sites. In the first Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six equivalent FeO4 tetrahedra, faces with six equivalent BaO12 cuboctahedra, and faces with two equivalent FeO6 octahedra. There are four shorter (2.08 Å) and two longer (2.09 Å) Fe–O bond lengths. In the second Fe+2.92+ site, Fe+2.92+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with nine FeO6 octahedra, edges with three equivalent BaO12 cuboctahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 17–62°. There is three shorter (1.90 Å) and one longer (1.96 Å) Fe–O bond length. In the third Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with six FeO6 octahedra, corners with three equivalent FeO4 tetrahedra, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are three shorter (2.09 Å) and three longer (2.28 Å) Fe–O bond lengths. In the fourth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four FeO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the fifth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four FeO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the sixth Fe+2.92+ site, Fe+2.92+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. In the seventh Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are three shorter (2.03 Å) and three longer (2.04 Å) Fe–O bond lengths. In the eighth Fe+2.92+ site, Fe+2.92+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is three shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. In the ninth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one BaO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the tenth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six equivalent FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are three shorter (2.03 Å) and three longer (2.11 Å) Fe–O bond lengths. In the eleventh Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are three shorter (1.91 Å) and two longer (2.32 Å) Fe–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted tetrahedral geometry to four Fe+2.92+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. Both O–Fe bond lengths are 2.14 Å. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.92+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Fe+2.92+ atoms. Both O–Fe bond lengths are 1.96 Å. In the twelfth O2- site, O2- is bonded to four Fe+2.92+ atoms to form distorted corner-sharing OFe4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.92+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+ and three Fe+2.92+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three equivalent Ba2+ and three Fe+2.92+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three equivalent Ba2+ and three Fe+2.92+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr3MnFeO7 by Materials Project

Sr3MnFeO7 crystallizes in the tetragonal I4mm space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.76 Å. In the second Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.76 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with four equivalent MnO6 octahedra, and faces with four equivalent FeO6 octahedra. There are eight shorter (2.75 Å) and four longer (2.77 Å) Sr–O bond lengths. Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four equivalent MnO6 octahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four equivalent FeO6 octahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is four shorter (1.95 Å) and two longer (1.97 Å) Fe–O bond length. There are five inequivalent O sites. In the first O site, O is bonded to five Sr and one Fe atom to form distorted OSr5Fe octahedra that share corners with seventeen OSr4MnFe octahedra, edges with eight OSr5Fe octahedra, and faces with four equivalent OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the second O site, O is bonded to five Sr and one Mn atom to form distorted OSr5Mn octahedra that share corners with seventeen OSr4MnFe octahedra, edges with eight OSr5Fe octahedra, and faces with four equivalent OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the third O site, O is bonded to four Sr and two equivalent Fe atoms to form distorted OSr4Fe2 octahedra that share corners with eighteen OSr5Fe octahedra, edges with three OSr4Fe2 octahedra, and faces with eight OSr4MnFe octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fourth O site, O is bonded to four Sr and two equivalent Mn atoms to form distorted OSr4Mn2 octahedra that share corners with eighteen OSr5Fe octahedra, edges with three OSr4Fe2 octahedra, and faces with eight OSr4MnFe octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fifth O site, O is bonded to four equivalent Sr, one Mn, and one Fe atom to form distorted OSr4MnFe octahedra that share corners with twenty-two OSr5Fe octahedra, edges with four equivalent OSr4MnFe octahedra, and faces with eight OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°.

36 MATERIALS SCIENCE↗

Materials Data on U4(BRu4)3 by Materials Project

U4(Ru4B)3 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are two inequivalent U sites. In the first U site, U is bonded to twelve Ru atoms to form URu12 cuboctahedra that share corners with twelve URu12 cuboctahedra, faces with six URu12 cuboctahedra, and faces with four equivalent BRu6 octahedra. There are a spread of U–Ru bond distances ranging from 2.82–3.00 Å. In the second U site, U is bonded to twelve Ru atoms to form URu12 cuboctahedra that share corners with twelve URu12 cuboctahedra, faces with six URu12 cuboctahedra, and faces with eight BRu6 octahedra. There are a spread of U–Ru bond distances ranging from 2.91–2.95 Å. There are five inequivalent Ru sites. In the first Ru site, Ru is bonded in a distorted single-bond geometry to four equivalent U and one B atom. The Ru–B bond length is 2.02 Å. In the second Ru site, Ru is bonded to four equivalent U and two B atoms to form a mixture of distorted edge, face, and corner-sharing RuU4B2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. There are one shorter (2.10 Å) and one longer (2.17 Å) Ru–B bond lengths. In the third Ru site, Ru is bonded in a distorted square co-planar geometry to four equivalent U atoms. In the fourth Ru site, Ru is bonded to four U and two equivalent B atoms to form a mixture of distorted edge, face, and corner-sharing RuU4B2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. Both Ru–B bond lengths are 2.08 Å. In the fifth Ru site, Ru is bonded to four equivalent U and two equivalent B atoms to form a mixture of distorted edge, face, and corner-sharing RuU4B2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. Both Ru–B bond lengths are 2.08 Å. There are two inequivalent B sites. In the first B site, B is bonded to six Ru atoms to form BRu6 octahedra that share corners with five BRu6 octahedra and faces with eight URu12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second B site, B is bonded to six Ru atoms to form BRu6 octahedra that share corners with six BRu6 octahedra and faces with eight equivalent URu12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on ZnFe16Ni7O32 by Materials Project

Fe16Ni7ZnO32 is Spinel-derived structured and 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 four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.97 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Fe–O bond distances ranging from 1.90–1.94 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.98 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Fe–O bond distances ranging from 1.89–1.96 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.09 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.00 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.01 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.03 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.08 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. There are seven inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.09 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.01–2.09 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.10 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.09 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are three shorter (2.06 Å) and three longer (2.08 Å) Ni–O bond lengths. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.08 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six FeO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.09 Å. Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with five NiO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Zn–O bond distances ranging from 1.96–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the second O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Fe3+, two Ni2+, and one Zn2+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms. In the thirty-first O2- site, O2- is bonded to two Fe3+, one Ni2+, and one Zn2+ atom to form distorted corner-sharing OZnFe2Ni trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni2+ atoms.

36 MATERIALS SCIENCE↗