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Materials Data on LiZn2Fe9O16 by Materials Project

LiFe9Zn2O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. There are eighteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.96 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.09 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.09 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 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 ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Fe–O bond distances ranging from 1.90–1.97 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.10 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.13 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. In the twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Fe–O bond distances ranging from 1.94–1.97 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.10 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.11–2.16 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.18 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.05–2.16 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe3+, and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-third O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Fe3+ atoms to form distorted edge-sharing OFe4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share corners with eight OFe4 trigonal pyramids and an edgeedge with one OZnFe3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-seventh O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted OZnFe3 trigonal pyramids that share corners with four OLiFe3 trigonal pyramids and an edgeedge with one OFe4 trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with seven OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with eight OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with seven OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Cr7O48 by Materials Project

Li9V12Cr7O48 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 distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the second 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 CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–70°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the third 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 CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 2.00–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.01–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the ninth 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 CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 60–71°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–66°. There are a spread of V–O bond distances ranging from 1.71–1.83 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–58°. There are a spread of V–O bond distances ranging from 1.68–1.83 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–62°. There are a spread of V–O bond distances ranging from 1.66–1.82 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of V–O bond distances ranging from 1.64–1.86 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.64–1.83 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–66°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–66°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.65–1.83 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–57°. There are a spread of V–O bond distances ranging from 1.68–1.81 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of V–O bond distances ranging from 1.68–1.82 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of V–O bond distances ranging from 1.66–1.82 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–65°. There are a spread of V–O bond distances ranging from 1.71–1.81 Å. There are seven inequivalent Cr+3.86+ sites. In the first Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.04 Å. In the second Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Cr–O bond distances ranging from 1.89–2.03 Å. In the third Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the fourth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the fifth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.86–2.08 Å. In the sixth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the seventh Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.08 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 V5+, and one Cr+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cr+3.86+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cr+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5

36 MATERIALS SCIENCE↗

Materials Data on Li10Co4O9 by Materials Project

Li10Co4O9 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with seven LiO4 trigonal pyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with six LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with five LiO4 trigonal pyramids, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with six LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.11 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with five LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form a mixture of distorted corner and edge-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with six LiO4 trigonal pyramids, edges with two equivalent LiO5 trigonal bipyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with six LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with seven LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.23 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.97 Å. In the second Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.81–1.96 Å. In the third Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the fourth Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.98 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Co2+ atom. In the second O2- site, O2- is bonded to four Li1+ and two Co2+ atoms to form OLi4Co2 octahedra that share corners with six OLi5Co octahedra and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. In the third O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with nine OLi4Co2 octahedra, an edgeedge with one OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 41–56°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co2+ atoms to form distorted OLi4Co2 octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 49–61°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co2+ atoms to form distorted OLi4Co2 octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–59°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with nine OLi4Co2 octahedra, edges with three OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 38–62°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with nine OLi4Co2 octahedra, edges with three OLi5Co octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–60°.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Mn–O bond distances ranging from 1.92–2.05 Å. There are one shorter (2.00 Å) and one longer (2.19 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.11 Å. In the third Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Mn–O bond distances ranging from 1.94–2.06 Å. There are one shorter (1.97 Å) and one longer (2.20 Å) Mn–F bond lengths. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Mn–O bond distances ranging from 1.93–2.11 Å. There are one shorter (2.03 Å) and one longer (2.23 Å) Mn–F bond lengths. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There is two shorter (1.96 Å) and one longer (1.98 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.10 Å. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.91 Å) and one longer (1.93 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.13 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–60°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Mn–F bond lengths. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.12 Å. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Mn–O bond distances ranging from 1.95–2.02 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (1.99 Å) and one longer (2.07 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (1.98 Å) and one longer (2.05 Å) Mn–F bond lengths. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–64°. There is one shorter (1.91 Å) and two longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.16 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaLi3Fe4(SiO3)8 by Materials Project

NaLi3Fe4(SiO3)8 is Esseneite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.40 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.64 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.63 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.60 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.21 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–59°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three equivalent FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–59°. There is one shorter (1.62 Å) and three longer (1.65 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 three equivalent FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There is one shorter (1.62 Å) and three longer (1.65 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 three equivalent FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–61°. There is one shorter (1.62 Å) and three longer (1.65 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 three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three equivalent FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two equivalent Fe3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiCr3P4O15 by Materials Project

LiCr3P4O15 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.43 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.51 Å. There are six inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Cr–O bond distances ranging from 1.97–2.08 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with four PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Cr–O bond distances ranging from 1.96–2.16 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three CrO6 octahedra, corners with six PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Cr–O bond distances ranging from 1.98–2.20 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three CrO6 octahedra, corners with six PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Cr–O bond distances ranging from 1.95–2.18 Å. In the fifth Cr3+ site, Cr3+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with four PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Cr–O bond distances ranging from 2.00–2.14 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Cr–O bond distances ranging from 1.98–2.11 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–66°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–58°. There is two shorter (1.51 Å) and two longer (1.60 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–67°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Cr3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Cr3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on NaCo11O17 by Materials Project

NaCo11O17 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. All Na–O bond lengths are 2.85 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. All Na–O bond lengths are 2.85 Å. There are sixteen inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the third Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six equivalent CoO6 octahedra and a cornercorner with one CoO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There is one shorter (1.79 Å) and three longer (1.82 Å) Co–O bond length. In the fourth Co3+ site, Co3+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is one shorter (1.93 Å) and three longer (1.95 Å) Co–O bond length. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. All Co–O bond lengths are 1.92 Å. In the sixth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. All Co–O bond lengths are 1.92 Å. In the seventh Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and a cornercorner with one CoO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There is one shorter (1.79 Å) and three longer (1.82 Å) Co–O bond length. In the eighth Co3+ site, Co3+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is one shorter (1.93 Å) and three longer (1.95 Å) Co–O bond length. In the ninth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the tenth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the eleventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the twelfth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the thirteenth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and a cornercorner with one CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is one shorter (1.79 Å) and three longer (1.82 Å) Co–O bond length. In the fourteenth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and a cornercorner with one CoO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There is one shorter (1.80 Å) and three longer (1.82 Å) Co–O bond length. In the fifteenth Co3+ site, Co3+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is one shorter (1.93 Å) and three longer (1.95 Å) Co–O bond length. In the sixteenth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with five CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Co3+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Co3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Co3+ atoms. In the fifth O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Co3+ atoms. In the seventh O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a linear geometry to two Co3+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Co3+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co3+ atoms. In the thirteenth O2- site, O2- is bonded to four Co3+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Co3+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. The O–Co bond length is 1.95 Å. In the sixteenth O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Co3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Co3+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and three Co3+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Co3+ atoms. In the twenty-first O2- site, O2- is bonded to four Co3+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. The O–Co bond length is 1.93 Å. In the twenty-second O2- site, O2- is bonded in a linear geometry to two Co3+ atoms. In the twenty-third O2- site, O2- is bonded to four Co3+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted corner and edge-sharing OCo4 trigonal pyramids. The O–Co bond length is 1.95 Å.

36 MATERIALS SCIENCE↗

Materials Data on Na5Bi2As(CO4)4 by Materials Project

Na5Bi2As(CO4)4 crystallizes in the orthorhombic F222 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two equivalent BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–86°. There are a spread of Na–O bond distances ranging from 2.37–2.71 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two equivalent BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedral tilt angles are 86°. There are a spread of Na–O bond distances ranging from 2.28–2.70 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.69 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two equivalent BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–86°. There are a spread of Na–O bond distances ranging from 2.39–2.69 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two equivalent BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are a spread of Na–O bond distances ranging from 2.36–2.66 Å. There are two inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.42 Å. There are two inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four equivalent O2- atoms to form AsO4 tetrahedra that share edges with six NaO6 octahedra. All As–O bond lengths are 1.73 Å. In the second As5+ site, As5+ is bonded to four equivalent O2- atoms to form AsO4 tetrahedra that share edges with two equivalent NaO6 octahedra. All As–O bond lengths are 1.74 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded to three Na1+ and one As5+ atom to form edge-sharing ONa3As trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one As5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one C4+, and one Bi3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiCrPO4F by Materials Project

LiCrPO4F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form LiO4F trigonal bipyramids that share corners with two CrO4F2 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO3F2 trigonal bipyramid, and edges with two CrO4F2 octahedra. The corner-sharing octahedra tilt angles range from 63–64°. There are a spread of Li–O bond distances ranging from 1.93–2.29 Å. The Li–F bond length is 2.10 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.87–2.39 Å. The Li–F bond length is 2.58 Å. In the third Li1+ site, Li1+ is bonded to three O2- and two F1- atoms to form distorted LiO3F2 trigonal bipyramids that share corners with two CrO4F2 octahedra, corners with three PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two CrO4F2 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Li–O bond distances ranging from 1.85–2.01 Å. There are one shorter (2.10 Å) and one longer (2.40 Å) Li–F bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form LiO4F trigonal bipyramids that share corners with two CrO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two CrO4F2 octahedra. The corner-sharing octahedra tilt angles range from 61–64°. There are a spread of Li–O bond distances ranging from 1.93–2.25 Å. The Li–F bond length is 2.11 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.89–2.41 Å. The Li–F bond length is 2.66 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- and one F1- atom to form LiO4F trigonal bipyramids that share corners with two CrO4F2 octahedra, corners with four PO4 tetrahedra, and edges with two CrO4F2 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are a spread of Li–O bond distances ranging from 1.93–2.18 Å. The Li–F bond length is 2.08 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to three O2- and one F1- atom. There are a spread of Li–O bond distances ranging from 1.92–2.07 Å. The Li–F bond length is 1.93 Å. There are eight inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent CrO4F2 octahedra, and edges with two LiO4F trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.97–2.07 Å. There is one shorter (1.95 Å) and one longer (2.00 Å) Cr–F bond length. In the second Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, edges with two equivalent CrO4F2 octahedra, and edges with two LiO4F trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.97–2.08 Å. There is one shorter (1.96 Å) and one longer (2.01 Å) Cr–F bond length. In the third Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two equivalent CrO4F2 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.04 Å. There are one shorter (1.96 Å) and one longer (2.05 Å) Cr–F bond lengths. In the fourth Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO4F trigonal bipyramid, and edges with two equivalent CrO4F2 octahedra. There are one shorter (1.98 Å) and three longer (2.04 Å) Cr–O bond lengths. There is one shorter (1.94 Å) and one longer (2.00 Å) Cr–F bond length. In the fifth Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO3F2 trigonal bipyramid, edges with two equivalent CrO4F2 octahedra, and an edgeedge with one LiO4F trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 1.94–2.10 Å. There is one shorter (1.96 Å) and one longer (2.02 Å) Cr–F bond length. In the sixth Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO3F2 trigonal bipyramid, edges with two equivalent CrO4F2 octahedra, and an edgeedge with one LiO4F trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 1.96–2.08 Å. There is one shorter (1.94 Å) and one longer (2.00 Å) Cr–F bond length. In the seventh Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, corners with two LiO4F trigonal bipyramids, edges with two equivalent CrO4F2 octahedra, and an edgeedge with one LiO3F2 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 1.99–2.07 Å. There is one shorter (1.98 Å) and one longer (1.99 Å) Cr–F bond length. In the eighth Cr3+ site, Cr3+ is bonded to four O2- and two F1- atoms to form CrO4F2 octahedra that share corners with four PO4 tetrahedra, corners with two LiO4F trigonal bipyramids, edges with two equivalent CrO4F2 octahedra, and an edgeedge with one LiO3F2 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 1.95–2.07 Å. There are one shorter (2.00 Å) and one longer (2.01 Å) Cr–F bond lengths. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and a cornercorner with one LiO4F trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of P–O bond distances ranging from 1.47–1.65 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and a cornercorner with one LiO3F2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and corners with two LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and corners with three LiO3F2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and corners with two equivalent LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO4F2 octahedra and corners with two LiO4F trigonal bipyramids. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cr3+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Cr3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cr3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cr3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr3+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr3+, and one P5+ atom. There are eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are two shorter (2.11 Å) and one longer (2.14 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.13 Å. In the third Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form distorted MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Mn–O bond distances ranging from 1.91–2.07 Å. There are one shorter (1.96 Å) and one longer (2.25 Å) Mn–F bond lengths. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Mn–O bond distances ranging from 1.90–2.06 Å. There are one shorter (2.01 Å) and one longer (2.21 Å) Mn–F bond lengths. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. There are one shorter (2.08 Å) and one longer (2.19 Å) Mn–F bond lengths. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. Both Mn–O bond lengths are 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.14 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. There are one shorter (1.98 Å) and one longer (2.04 Å) Mn–F bond lengths. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.94 Å) and two longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.07–2.15 Å. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Mn–O bond distances ranging from 1.96–2.05 Å. There are one shorter (2.10 Å) and one longer (2.13 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (2.00 Å) and one longer (2.06 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Mn–O bond distances ranging from 1.93–2.01 Å. There are a spread of Mn–F bond distances ranging from 1.99–2.15 Å. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. There are one shorter (2.05 Å) and one longer (2.08 Å) Mn–F bond lengths. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form HfN2O4 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are one shorter (2.06 Å) and one longer (2.10 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.11–2.24 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are two shorter (2.16 Å) and one longer (2.23 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN2O4 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Hf–N bond distances ranging from 2.16–2.19 Å. Both Hf–O bond lengths are 2.15 Å. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra, edges with five HfN2O4 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.16 Å. There are one shorter (2.36 Å) and one longer (2.39 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.06–2.20 Å. There are two shorter (2.15 Å) and one longer (2.25 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with five HfN2O4 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.11–2.23 Å. The Hf–O bond length is 2.37 Å. In the seventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.30 Å. In the eighth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.22 Å. The Hf–O bond length is 2.33 Å. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. The Hf–O bond length is 2.30 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.21 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.29 Å. In the twelfth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with five HfN2O4 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.16 Å. There are one shorter (2.25 Å) and one longer (2.27 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are one shorter (2.08 Å) and two longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.14–2.27 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.23 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.16–2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyrami

36 MATERIALS SCIENCE↗

Materials Data on Li9Nb7V12O48 by Materials Project

Li9Nb7V12O48 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 VO4 tetrahedra and faces with two equivalent NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.10–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one NbO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 2.10–2.34 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 NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–70°. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.48 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two NbO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent NbO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. There are seven inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 pentagonal pyramids that share corners with two LiO6 octahedra and corners with six VO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Nb–O bond distances ranging from 1.96–2.13 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Nb–O bond distances ranging from 1.89–2.21 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.94–2.09 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.89–2.09 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.89–2.11 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.89–2.10 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Nb–O bond distances ranging from 1.90–2.22 Å. There are twelve inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–64°. There are a spread of V–O bond distances ranging from 1.75–1.90 Å. In the second V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of V–O bond distances ranging from 1.67–1.82 Å. In the third V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of V–O bond distances ranging from 1.65–1.81 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and a cornercorner with one NbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 23–62°. There are a spread of V–O bond distances ranging from 1.89–1.93 Å. In the fifth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one NbO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of V–O bond distances ranging from 1.68–1.79 Å. In the sixth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five NbO6 octahedra. The corner-sharing octahedra tilt angles range from 23–68°. There are a spread of V–O bond distances ranging from 1.86–1.99 Å. In the seventh V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three NbO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–58°. There are a spread of V–O bond distances ranging from 1.69–1.78 Å. In the eighth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of V–O bond distances ranging from 1.68–1.86 Å. In the ninth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three NbO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.66–1.95 Å. In the tenth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent NbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 31–59°. There are a spread of V–O bond distances ranging from 1.79–1.89 Å. In the eleventh V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two NbO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent NbO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of V–O bond distances ranging from 1.78–1.90 Å. In the twelfth V+4.33+ site, V+4.33+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 28–64°. There are a spread of V–O bond distances ranging from 1.72–1.80 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 Nb5+, and one V+4.33+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V+4.33+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V+4.33+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Nb5+, and one V+4.33+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V+4.33+ atom. In the twenty-fourth O2- site, O2- is bonded in a tri

36 MATERIALS SCIENCE↗

Materials Data on Zn3In2O6 by Materials Project

Zn3In2O6 is Aluminum carbonitride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Zn–O bond distances ranging from 2.00–2.08 Å. In the second Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with three ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, and edges with two InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.92–2.47 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Zn–O bond distances ranging from 2.00–2.08 Å. In the fourth Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with three ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, and edges with two InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.93–2.44 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Zn–O bond distances ranging from 1.99–2.03 Å. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with eight ZnO4 tetrahedra, and a cornercorner with one InO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Zn–O bond distances ranging from 2.00–2.07 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with five ZnO4 tetrahedra, corners with two ZnO5 trigonal bipyramids, and corners with five InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.95–2.05 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Zn–O bond distances ranging from 2.01–2.05 Å. In the ninth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with eight ZnO4 tetrahedra, and a cornercorner with one InO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Zn–O bond distances ranging from 2.01–2.07 Å. In the tenth Zn2+ site, Zn2+ is bonded to five O2- atoms to form ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with four ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, and an edgeedge with one InO5 trigonal bipyramid. There are a spread of Zn–O bond distances ranging from 1.93–2.38 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 tetrahedra that share corners with five ZnO4 tetrahedra, corners with two ZnO5 trigonal bipyramids, and corners with five InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.95–2.05 Å. In the twelfth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Zn–O bond distances ranging from 2.01–2.06 Å. There are eight inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.23–2.27 Å. In the second In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with seven ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, and edges with three ZnO5 trigonal bipyramids. There are a spread of In–O bond distances ranging from 2.05–2.47 Å. In the third In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.23–2.27 Å. In the fourth In3+ site, In3+ is bonded to four O2- atoms to form distorted InO4 tetrahedra that share corners with three InO6 octahedra, corners with six ZnO4 tetrahedra, and corners with three ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of In–O bond distances ranging from 2.09–2.14 Å. In the fifth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six ZnO4 tetrahedra and edges with six InO6 octahedra. There are four shorter (2.24 Å) and two longer (2.25 Å) In–O bond lengths. In the sixth In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with seven ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, an edgeedge with one InO5 trigonal bipyramid, and edges with two ZnO5 trigonal bipyramids. There are a spread of In–O bond distances ranging from 2.07–2.31 Å. In the seventh In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with five ZnO4 tetrahedra, corners with six ZnO5 trigonal bipyramids, and an edgeedge with one InO5 trigonal bipyramid. There are a spread of In–O bond distances ranging from 2.04–2.33 Å. In the eighth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.23–2.27 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form a mixture of distorted edge and corner-sharing OZn2In2 trigonal pyramids. In the second O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZnIn3 tetrahedra and edges with three OIn4 tetrahedra. In the third O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZn4 tetrahedra and corners with two OZn2In2 trigonal pyramids. In the fourth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZn3In tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Zn2+ and one In3+ atom. In the sixth O2- site, O2- is bonded to four In3+ atoms to form a mixture of distorted edge and corner-sharing OIn4 tetrahedra. In the seventh O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form a mixture of distorted edge and corner-sharing OZn2In2 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the ninth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the tenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZn3In tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the eleventh O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 tetrahedra that share corners with four OZn3In tetrahedra, an edgeedge with one OZn2In2 tetrahedra, and edges with two OZn2In2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 tetrahedra that share corners with six OZn3In tetrahedra, corners with four OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZn4 tetrahedra and edges with three OIn4 tetrahedra. In the fifteenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the sixteenth O2- site, O2- is bonded to four Zn2+ atoms to form corner-sharing OZn4 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZn3In tetrahedra and edges with three OZnIn3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zn2+ and one In3+ atom. In the nineteenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form distorted corner-sharing OZn3In tetrahedra. In the twentieth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZnIn3 tetrahedra and edges with three OIn4 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Zn2+ atoms to form corner-sharing OZn4 tetrahedra. In the twenty-second O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zn2+ and one In3+ atom. In the twenty-fourth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Na6U(SO5)4 by Materials Project

Na6U(SO5)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with three SO4 tetrahedra, edges with two NaO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Na–O bond distances ranging from 2.35–2.62 Å. In the second Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with six SO4 tetrahedra, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Na–O bond distances ranging from 2.27–2.79 Å. In the third Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.27–2.65 Å. In the fourth Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.37–2.85 Å. In the fifth Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.35–2.97 Å. In the sixth Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, corners with four SO4 tetrahedra, and edges with two equivalent NaO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Na–O bond distances ranging from 2.34–2.68 Å. In the seventh Na site, Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.48–2.78 Å. U is bonded to seven O atoms to form distorted UO7 pentagonal bipyramids that share corners with three SO4 tetrahedra and an edgeedge with one SO4 tetrahedra. There are a spread of U–O bond distances ranging from 1.81–2.57 Å. There are four inequivalent S sites. In the first S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with three NaO6 octahedra and an edgeedge with one UO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 23–66°. There are a spread of S–O bond distances ranging from 1.47–1.52 Å. In the second S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with three NaO6 octahedra, a cornercorner with one UO7 pentagonal bipyramid, and an edgeedge with one NaO6 octahedra. The corner-sharing octahedra tilt angles range from 60–65°. There are a spread of S–O bond distances ranging from 1.47–1.52 Å. In the third S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one NaO6 octahedra and a cornercorner with one UO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of S–O bond distances ranging from 1.47–1.53 Å. In the fourth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with four NaO6 octahedra and a cornercorner with one UO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. There are twenty inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Na and one U atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Na and one U atom. In the third O site, O is bonded in a distorted single-bond geometry to one Na, one U, and one S atom. In the fourth O site, O is bonded in a 3-coordinate geometry to one Na, one U, and one S atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Na and one S atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one U and one S atom. In the seventh O site, O is bonded in a 1-coordinate geometry to one U and one S atom. In the eighth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the ninth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the tenth O site, O is bonded in a 1-coordinate geometry to one Na, one U, and one S atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to two Na and one S atom. In the twelfth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the thirteenth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to two Na and one S atom. In the fifteenth O site, O is bonded in a 1-coordinate geometry to three Na and one S atom. In the sixteenth O site, O is bonded in a 1-coordinate geometry to four Na and one S atom. In the seventeenth O site, O is bonded in a 1-coordinate geometry to three Na and one S atom. In the eighteenth O site, O is bonded in a 1-coordinate geometry to three Na and one S atom. In the nineteenth O site, O is bonded in an L-shaped geometry to two Na atoms. In the twentieth O site, O is bonded in a water-like geometry to two Na atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgTi2O4 by Materials Project

MgTi2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Mg–O bond distances ranging from 1.99–2.01 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three TiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.14 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There is two shorter (1.95 Å) and two longer (1.96 Å) Mg–O bond length. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five TiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.17 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. There are twelve inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three MgO4 tetrahedra, corners with three TiO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.13 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.07–2.15 Å. In the third Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ti–O bond distances ranging from 1.90–1.93 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four TiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.21 Å. In the fifth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There is one shorter (1.88 Å) and three longer (1.89 Å) Ti–O bond length. In the sixth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Ti–O bond distances ranging from 1.87–1.91 Å. In the seventh Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.06–2.15 Å. In the eighth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is two shorter (1.89 Å) and two longer (1.91 Å) Ti–O bond length. In the ninth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five TiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.05–2.23 Å. In the tenth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There is two shorter (1.90 Å) and two longer (1.92 Å) Ti–O bond length. In the eleventh Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.05–2.13 Å. In the twelfth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Ti–O bond distances ranging from 1.86–1.89 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Ti3+ atoms. In the third O2- site, O2- is bonded to one Mg2+ and three Ti3+ atoms to form distorted corner-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the tenth O2- site, O2- is bonded to two Mg2+ and two Ti3+ atoms to form a mixture of distorted edge and corner-sharing OMg2Ti2 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Mg2+ and three Ti3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti3+ atoms. In the nineteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Ti3+ atoms to form distorted corner-sharing OMg2Ti2 tetrahedra. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to four Ti3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ti3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zn(CuO2)2 by Materials Project

Zn(CuO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three CuO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.09 Å. In the second Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.07 Å. In the third Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Cu–O bond distances ranging from 1.92–1.94 Å. In the fourth Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CuO4 tetrahedra, edges with three CuO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.93–2.03 Å. In the fifth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Cu–O bond distances ranging from 1.88–1.97 Å. In the sixth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Cu–O bond distances ranging from 1.89–1.93 Å. In the seventh Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.93–2.04 Å. In the eighth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Cu–O bond distances ranging from 1.90–1.94 Å. In the ninth Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CuO4 tetrahedra, edges with three CuO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.94–2.09 Å. In the tenth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Cu–O bond distances ranging from 1.92–1.97 Å. In the eleventh Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.05 Å. In the twelfth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Cu–O bond distances ranging from 1.89–1.99 Å. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is one shorter (1.97 Å) and three longer (1.98 Å) Zn–O bond length. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three CuO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.11 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.99 Å) and one longer (2.00 Å) Zn–O bond length. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.12 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CuO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four equivalent CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.11 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CuO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.14 Å. In the seventh Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CuO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.11 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CuO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.12 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Cu3+ and two Zn2+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Cu3+ atoms. In the fifth O2- site, O2- is bonded to two Cu3+ and two Zn2+ atoms to form a mixture of distorted corner and edge-sharing OZn2Cu2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two equivalent Cu3+ and two Zn2+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Cu3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg(CuO2)2 by Materials Project

MgCu2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There is three shorter (1.98 Å) and one longer (2.01 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six CuO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.09 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Mg–O bond distances ranging from 1.98–2.03 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five CuO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.09 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six CuO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent CuO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.08 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six CuO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.12 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five CuO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five CuO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.09 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six CuO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.10 Å. There are twelve inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three MgO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.09 Å. In the second Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.07 Å. In the third Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. All Cu–O bond lengths are 1.93 Å. In the fourth Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four CuO4 tetrahedra, edges with three MgO6 octahedra, and edges with three CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.91–2.04 Å. In the fifth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Cu–O bond distances ranging from 1.89–1.98 Å. In the sixth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Cu–O bond distances ranging from 1.90–1.92 Å. In the seventh Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.04 Å. In the eighth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is one shorter (1.91 Å) and three longer (1.94 Å) Cu–O bond length. In the ninth Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five CuO4 tetrahedra, edges with three MgO6 octahedra, and edges with three CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.11 Å. In the tenth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is three shorter (1.92 Å) and one longer (1.99 Å) Cu–O bond length. In the eleventh Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CuO6 octahedra. There is four shorter (1.96 Å) and two longer (2.03 Å) Cu–O bond length. In the twelfth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Cu–O bond distances ranging from 1.89–2.00 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Mg2+ and two Cu3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu2 trigonal pyramids. In the second O2- site, O2- is bonded to two Mg2+ and two equivalent Cu3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Cu3+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and two Cu3+ atoms to form distorted OMg2Cu2 trigonal pyramids that share corners with three OMg2Cu2 trigonal pyramids and edges with two OMgCu3 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the eighth O2- site, O2- is bonded to one Mg2+ and three Cu3+ atoms to form distorted corner-sharing OMgCu3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Mg2+ and three Cu3+ atoms to form a mixture of distorted corner and edge-sharing OMgCu3 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Mg2+ and two Cu3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu2 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cu3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cu3+ atoms. In the eighteenth O2- site, O2- is bonded to two Mg2+ and two Cu3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Cu2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Cu3+ atoms to form distorted corner-sharing OMg2Cu2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Cu3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cu3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaTi2O4 by Materials Project

CaTi2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–75°. There are a spread of Ca–O bond distances ranging from 2.19–2.24 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with three CaO4 tetrahedra, corners with three TiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.31 Å. In the third Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–71°. There are a spread of Ca–O bond distances ranging from 2.18–2.24 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.33 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.34 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.40 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five TiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.33 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.41 Å. There are twelve inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three CaO4 tetrahedra, corners with three TiO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.27 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.17 Å. In the third Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Ti–O bond distances ranging from 1.86–1.94 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four TiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.20 Å. In the fifth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Ti–O bond distances ranging from 1.89–1.95 Å. In the sixth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ti–O bond distances ranging from 1.84–1.93 Å. In the seventh Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four CaO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.10–2.26 Å. In the eighth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Ti–O bond distances ranging from 1.87–1.98 Å. In the ninth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five TiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.02–2.43 Å. In the tenth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There is two shorter (1.86 Å) and two longer (1.96 Å) Ti–O bond length. In the eleventh Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.17 Å. In the twelfth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Ti–O bond distances ranging from 1.88–1.95 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCa2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Ca2+ and two equivalent Ti3+ atoms to form distorted OCa2Ti2 trigonal pyramids that share a cornercorner with one OCaTi3 tetrahedra, corners with two equivalent OCa2Ti2 trigonal pyramids, and edges with three OCa2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to one Ca2+ and three Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCaTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti3+ atoms. In the fifth O2- site, O2- is bonded to two Ca2+ and two Ti3+ atoms to form distorted OCa2Ti2 trigonal pyramids that share a cornercorner with one OCaTi3 tetrahedra, corners with two OCa2Ti2 trigonal pyramids, an edgeedge with one OCaTi3 tetrahedra, and an edgeedge with one OCa2Ti2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the ninth O2- site, O2- is bonded to one Ca2+ and three Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCaTi3 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the nineteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Ti3+ atoms to form corner-sharing OCa2Ti2 tetrahedra. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to four Ti3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms.

36 MATERIALS SCIENCE↗