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Materials Data on Li3Mn10O20 by Materials Project

Li3Mn10O20 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.89–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Li–O bond distances ranging from 1.92–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Li–O bond distances ranging from 2.01–2.40 Å. There are fifteen inequivalent Mn+3.70+ sites. In the first Mn+3.70+ site, Mn+3.70+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Mn–O bond distances ranging from 1.95–2.09 Å. In the second Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the third Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the fourth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent MnO4 tetrahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.01 Å. In the fifth Mn+3.70+ site, Mn+3.70+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Mn–O bond distances ranging from 1.94–2.06 Å. In the sixth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three MnO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. In the seventh Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent MnO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the eighth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.01 Å. In the ninth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the tenth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.83–2.02 Å. In the eleventh Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.08 Å. In the twelfth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. In the thirteenth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.98 Å. In the fourteenth Mn+3.70+ site, Mn+3.70+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fifteenth Mn+3.70+ site, Mn+3.70+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.21–2.25 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.70+ atoms. In the second O2- site, O2- is bonded to four Mn+3.70+ atoms to form distorted OMn4 trigonal pyramids that share corners with six OLiMn3 tetrahedra and a cornercorner with one OMn4 trigonal pyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.70+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.70+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLiMn3 tetrahedra, corners with three OMn4 trigonal pyramids, and edges with two equivalent OLiMn3 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form distorted OLiMn3 tetrahedra that share corners with two OLiMn3 tetrahedra, corners with three OMn4 trigonal pyramids, and edges with two OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.70+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.70+ atoms. In the ninth O2- site, O2- is bonded to four Mn+3.70+ atoms to form distorted OMn4 trigonal pyramids that share corners with three OLiMn3 tetrahedra and a cornercorner with one OMn4 trigonal pyramid. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.70+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.70+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two equivalent Mn+3.70+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Mn+3.70+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two equivalent Mn+3.70+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Mn+3.70+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.70+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.70+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.70+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two equivalent Mn+3.70+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.70+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.70+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.70+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.70+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.70+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Mn+3.70+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiCuCO3 by Materials Project

LiCuCO3 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.35 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.21 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.25 Å. There are nine inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.30 Å. In the second Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.29 Å. In the third Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.23 Å. In the fourth Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.30 Å. In the fifth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.03–2.24 Å. In the sixth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.03–2.26 Å. In the seventh Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.21 Å. In the eighth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.03–2.24 Å. In the ninth Cu1+ site, Cu1+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.00–2.22 Å. There are nine inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one 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. All C–O bond lengths are 1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiCuCO3 by Materials Project

LiCuCO3 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 four O2- atoms to form corner-sharing LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with two equivalent CuO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with two equivalent CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form corner-sharing LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form corner-sharing LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with two equivalent CuO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and edges with two equivalent CuO5 trigonal bipyramids. There are two shorter (1.97 Å) and two longer (2.03 Å) Li–O bond lengths. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one CuO4 trigonal pyramid and corners with two equivalent LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. There are nine inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.97–2.74 Å. In the second Cu1+ site, Cu1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.97–2.73 Å. In the third Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 2.01–2.37 Å. In the fourth Cu1+ site, Cu1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 2.04–2.56 Å. In the fifth Cu1+ site, Cu1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.62 Å. In the sixth Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.99–2.44 Å. In the seventh Cu1+ site, Cu1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.58 Å. In the eighth Cu1+ site, Cu1+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, edges with two equivalent LiO4 tetrahedra, and edges with two equivalent CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 2.10–2.28 Å. In the ninth Cu1+ site, Cu1+ is bonded to four O2- atoms to form distorted CuO4 trigonal pyramids that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and corners with two equivalent CuO4 trigonal pyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.43 Å. There are nine 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 (1.30 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth 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. In the fifth 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. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the second O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the eleventh O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+, one Cu1+, and one C4+ atom to form distorted corner-sharing OLi2CuC tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cu1+, and one C4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cu1+, and one C4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu1+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu1+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiLa8V8O32 by Materials Project

LiLa8V8O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Li1+ is bonded in a 5-coordinate geometry to one La3+ and five O2- atoms. The Li–La bond length is 2.56 Å. There are a spread of Li–O bond distances ranging from 1.77–2.34 Å. There are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.46–3.03 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.51–3.01 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.44–3.04 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.98 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to one Li1+ and eight O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.76 Å. In the sixth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.43–2.90 Å. In the seventh La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.94 Å. In the eighth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.46–2.98 Å. There are eight inequivalent V+4.88+ sites. In the first V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.79–1.86 Å. In the second V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.73 Å) and three longer (1.75 Å) V–O bond length. In the third V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.73–1.75 Å. In the fourth V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.73–1.76 Å. In the fifth V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.72–1.77 Å. In the sixth V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.72–1.76 Å. In the seventh V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.73–1.75 Å. In the eighth V+4.88+ site, V+4.88+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of V–O bond distances ranging from 1.73–1.77 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two La3+, and one V+4.88+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three La3+ and one V+4.88+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two La3+ and one V+4.88+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three La3+ and one V+4.88+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, three La3+, and one V+4.88+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two La3+ and one V+4.88+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two La3+ and one V+4.88+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two La3+, and one V+4.88+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three La3+ and one V+4.88+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, two La3+, and one V+4.88+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to two La3+ and one V+4.88+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two La3+, and one V+4.88+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one V+4.88+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three La3+ and one V+4.88+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two La3+ and one V+4.88+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to three La3+ and one V+4.88+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to two La3+ and one V+4.88+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to two La3+ and one V+4.88+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ca8Nb12O40 by Materials Project

Li7Ca8Nb12O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four NbO6 octahedra, corners with four equivalent LiO4 trigonal pyramids, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 71–73°. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with four LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.97–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four NbO6 octahedra, corners with four equivalent LiO4 trigonal pyramids, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 71–73°. There are one shorter (2.09 Å) and three longer (2.11 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with four LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.97–2.32 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four NbO6 octahedra and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 65–66°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. There are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.51 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.74 Å. In the third Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.58 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.59 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.65 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.65 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.51 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.74 Å. There are twelve inequivalent Nb+4.75+ sites. In the first Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the second Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the third Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. In the fourth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the fifth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the sixth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. In the seventh Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the eighth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the ninth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the tenth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. In the eleventh Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the twelfth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and one Nb+4.75+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OCa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four OLi4Nb trigonal bipyramids. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Nb+4.75+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Nb+4.75+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Nb+4.75+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb+4.75+ atoms. In the tenth O2- site, O2- is bonded to two Ca2+ and two Nb+4.75+ atoms to form distorted corner-sharing OCa2Nb2 tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ca2+, and two Nb+4.75+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Ca2+ and two Nb+4.75+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the nineteenth O2- site, O2- is bonded to four Li1+ and one Nb+4.75+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OCa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four OLi4Nb trigonal bipyramids. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Nb+4.75+ atom. In the twenty-first O2- site, O2- is bonded to four Li1+ and one Nb+4.75+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OCa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four OLi4Nb trigonal bipyramids. In the twenty-second O2- site, O2- is bonded to three Li1+ and one Nb+4.75+ atom to form distorted OLi3Nb trigonal pyramids that share a cornercorner with one OCa2Nb2 tetrahedra and corners with three equivalent OLi3Nb trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Ca2+ and two Nb+4.75+

36 MATERIALS SCIENCE↗

Materials Data on LiCuBO3 by Materials Project

LiCuBO3 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.17 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.13 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.05–2.41 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 square pyramids. There are a spread of Li–O bond distances ranging from 2.03–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six CuO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. There are nine inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.51 Å. In the second Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.59 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.94–2.05 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.11 Å. In the fifth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two equivalent CuO4 tetrahedra, and corners with four LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.04 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.99–2.05 Å. In the seventh Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two equivalent CuO4 tetrahedra, and corners with four LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.03 Å. In the eighth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two equivalent CuO4 tetrahedra, and corners with four LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.09 Å. In the ninth Cu2+ site, Cu2+ is bonded to four O2- atoms to form distorted CuO4 tetrahedra that share corners with two equivalent CuO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.03 Å. There are nine inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.38 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, two Cu2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, two Cu2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cu2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted corner-sharing OLiCu2B tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu2+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded to two equivalent Li1+, one Cu2+, and one B3+ atom to form distorted corner-sharing OLi2CuB trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted OLiCu2B tetrahedra that share corners with five OLiCu2B tetrahedra and corners with two equivalent OLi2CuB trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one B3+ atom to form distorted OLiCu2B tetrahedra that share corners with three OLiCu2B tetrahedra and corners with two equivalent OLi2CuB trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiFeBO3 by Materials Project

LiFeBO3 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.05–2.47 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.44 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.34 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.49 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with six FeO4 tetrahedra and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. There are nine inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the second Fe2+ site, Fe2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the third Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the fourth Fe2+ site, Fe2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 1.95–2.11 Å. In the fifth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are two shorter (1.98 Å) and two longer (2.14 Å) Fe–O bond lengths. In the sixth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the seventh Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with four LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the eighth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with six LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the ninth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO4 tetrahedra and corners with four LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.12 Å. There are nine inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.38 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Fe2+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two VO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 62–73°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the second 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 1.94–2.05 Å. In the third 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 2.01–2.10 Å. In the fourth 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 2.02–2.11 Å. In the fifth 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 1.94–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 61–75°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–73°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the eighth 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 1.93–2.08 Å. In the ninth 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 2.00–2.12 Å. In the tenth 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 2.00–2.11 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–74°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.98–2.15 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.13 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.98–2.13 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.12 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.92–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.19 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.18 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–49°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–44°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 21–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–47°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 29–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a tetrahedral geometry to two Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- s

36 MATERIALS SCIENCE↗

Materials Data on Ca3Cu6(PO4)8 by Materials Project

Ca3Cu6(PO4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of Ca–O bond distances ranging from 2.24–3.05 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with six PO4 tetrahedra and edges with two CuO5 trigonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.27–2.47 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six PO4 tetrahedra and edges with two CuO5 trigonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.29–2.43 Å. There are six inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.83–2.14 Å. In the second Cu3+ site, Cu3+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.83–2.20 Å. In the third Cu3+ site, Cu3+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.88–2.13 Å. In the fourth Cu3+ site, Cu3+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.84–2.41 Å. In the fifth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.95 Å. In the sixth Cu3+ site, Cu3+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.90 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 two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–59°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–59°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cu3+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ca2+, one Cu3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cu3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cu3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Cu3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Cu3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Cu3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Cu3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Cu3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ca2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ca2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Cu3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca3Cu6(AsO4)8 by Materials Project

Ca3Cu6(AsO4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.86 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six AsO4 tetrahedra and edges with two CuO5 trigonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.30–2.48 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six AsO4 tetrahedra and edges with two CuO5 trigonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.31–2.45 Å. There are six inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to five O2- atoms to form distorted CuO5 trigonal bipyramids that share corners with five AsO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.83–2.44 Å. In the second Cu3+ site, Cu3+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five AsO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.82–2.15 Å. In the third Cu3+ site, Cu3+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five AsO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.86–2.09 Å. In the fourth Cu3+ site, Cu3+ is bonded to five O2- atoms to form CuO5 trigonal bipyramids that share corners with five AsO4 tetrahedra and an edgeedge with one CaO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.82–2.08 Å. In the fifth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.90 Å. In the sixth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.91 Å. There are eight inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of As–O bond distances ranging from 1.69–1.75 Å. In the second As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 60°. There are a spread of As–O bond distances ranging from 1.64–1.81 Å. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of As–O bond distances ranging from 1.65–1.80 Å. In the fourth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of As–O bond distances ranging from 1.66–1.82 Å. In the fifth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of As–O bond distances ranging from 1.70–1.77 Å. In the sixth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with two CuO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of As–O bond distances ranging from 1.66–1.79 Å. In the seventh As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of As–O bond distances ranging from 1.69–1.77 Å. In the eighth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share corners with two equivalent CaO6 octahedra and corners with three CuO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of As–O bond distances ranging from 1.69–1.75 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one As5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ca2+ and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the seventh O2- site, O2- is bonded in a single-bond geometry to one As5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ca2+ and one As5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu3+ and one As5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ca2+ and one As5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cu3+, and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu3+ and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted water-like geometry to one Ca2+ and one As5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ca2+ and one As5+ atom. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu3+ and one As5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Cu3+, and one As5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Ca2+ and one As5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Cu3+, and one As5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, two Cu3+, and one As5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu3+ and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6P8W3O29 by Materials Project

Li6W3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.21–2.56 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one WO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three WO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–73°. There are a spread of Li–O bond distances ranging from 1.83–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one WO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one WO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.18 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one WO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.15 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.17 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.11 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.21 Å. There are six inequivalent W4+ sites. In the first W4+ site, W4+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of W–O bond distances ranging from 2.02–2.12 Å. In the second W4+ site, W4+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of W–O bond distances ranging from 2.04–2.14 Å. In the third W4+ site, W4+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of W–O bond distances ranging from 2.02–2.13 Å. In the fourth W4+ site, W4+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of W–O bond distances ranging from 2.01–2.13 Å. In the fifth W4+ site, W4+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of W–O bond distances ranging from 2.03–2.10 Å. In the sixth W4+ site, W4+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of W–O bond distances ranging from 2.05–2.11 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two WO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three WO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–42°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three WO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two WO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three WO6 octahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three WO6 octahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two WO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two WO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two WO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one W4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one W4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one W4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one W4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one W4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-fourth O2- site, O

36 MATERIALS SCIENCE↗

Materials Data on Ba5NbIr4O15 by Materials Project

Ba5NbIr4O15 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three NbO6 octahedra, and faces with four IrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Ba–O bond distances ranging from 2.81–3.05 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with five IrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Ba–O bond distances ranging from 2.81–3.05 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three NbO6 octahedra, and faces with four IrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Ba–O bond distances ranging from 2.81–3.05 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, faces with two NbO6 octahedra, and faces with five IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.81–3.05 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, faces with two NbO6 octahedra, and faces with five IrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Ba–O bond distances ranging from 2.81–3.05 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one NbO6 octahedra, and faces with six IrO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ba–O bond distances ranging from 2.92–3.07 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one NbO6 octahedra, and faces with six IrO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ba–O bond distances ranging from 2.93–3.07 Å. In the eighth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, and faces with seven IrO6 octahedra. The corner-sharing octahedral tilt angles are 16°. There are a spread of Ba–O bond distances ranging from 2.93–3.03 Å. In the ninth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one NbO6 octahedra, and faces with six IrO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ba–O bond distances ranging from 2.92–3.08 Å. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one NbO6 octahedra, and faces with six IrO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ba–O bond distances ranging from 2.92–3.08 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six IrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Nb–O bond lengths are 2.02 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six IrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Nb–O bond lengths are 2.02 Å. There are nine inequivalent Ir+3.75+ sites. In the first Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three BaO12 cuboctahedra, corners with three NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are two shorter (2.05 Å) and four longer (2.06 Å) Ir–O bond lengths. In the second Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one IrO6 octahedra, corners with two NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ir–O bond distances ranging from 2.04–2.06 Å. In the third Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one IrO6 octahedra, corners with two NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ir–O bond distances ranging from 2.04–2.06 Å. In the fourth Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three BaO12 cuboctahedra, corners with three NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.05 Å) and three longer (2.06 Å) Ir–O bond lengths. In the fifth Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three BaO12 cuboctahedra, a cornercorner with one IrO6 octahedra, corners with two equivalent NbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ir–O bond distances ranging from 2.04–2.06 Å. In the sixth Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with six BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two IrO6 octahedra. All Ir–O bond lengths are 2.06 Å. In the seventh Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with six BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two equivalent IrO6 octahedra. All Ir–O bond lengths are 2.06 Å. In the eighth Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with six BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with two IrO6 octahedra. All Ir–O bond lengths are 2.06 Å. In the ninth Ir+3.75+ site, Ir+3.75+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with six IrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are two shorter (2.01 Å) and four longer (2.02 Å) Ir–O bond lengths. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ir+3.75+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ir+3.75+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ir+3.75+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ir+3.75+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nb5+, and one Ir+3.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMnP2O7 by Materials Project

LiMnP2O7 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 in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.81 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.82–1.97 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.90–1.96 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.45 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 35°. There are a spread of Li–O bond distances ranging from 1.85–2.00 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.70 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–O bond distances ranging from 1.88–2.28 Å. There are eight inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.22 Å. In the second Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.20 Å. In the third Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.61 Å. In the fourth Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with five PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.06 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO5 square pyramid, corners with six PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.32 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one LiO5 square pyramid, corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.34 Å. In the seventh Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.66 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.57 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 35°. 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 a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one MnO5 square pyramid, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 21–45°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn3+, 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 distorted bent 150 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a water-like geometry to one Mn3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site,

36 MATERIALS SCIENCE↗

Materials Data on Li7V4(CO3)10 by Materials Project

Li7V4(CO3)10 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two equivalent VO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–76°. There are a spread of Li–O bond distances ranging from 1.95–2.05 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 LiO4 trigonal pyramid and edges with two equivalent LiO6 pentagonal pyramids. There are a spread of Li–O bond distances ranging from 2.06–2.39 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.50 Å. In the fourth 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 2.00–2.63 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one VO6 octahedra and a faceface with one VO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 71°. There are a spread of Li–O bond distances ranging from 1.94–2.20 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. In the seventh 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 1.90–2.29 Å. There are four inequivalent V5+ sites. In the first V5+ site, V5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of V–O bond distances ranging from 1.99–2.60 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO5 trigonal bipyramid and corners with two equivalent LiO4 trigonal pyramids. There are a spread of V–O bond distances ranging from 2.04–2.11 Å. In the third V5+ site, V5+ is bonded to seven O2- atoms to form distorted VO7 pentagonal bipyramids that share a faceface with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 2.03–2.32 Å. In the fourth V5+ site, V5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of V–O bond distances ranging from 1.88–2.37 Å. There are ten inequivalent C+3.30+ sites. In the first C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.31 Å. In the second C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the third C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.24–1.34 Å. In the fourth C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the fifth C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.33 Å. In the sixth C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the seventh C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.38 Å. In the eighth C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.28 Å) and two longer (1.30 Å) C–O bond length. In the ninth C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.27 Å) and one longer (1.37 Å) C–O bond length. In the tenth C+3.30+ site, C+3.30+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.31 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one V5+, and one C+3.30+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one V5+, and one C+3.30+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one C+3.30+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one C+3.30+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Li1+, one V5+, and one C+3.30+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one C+3.30+ atom. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one V5+, and one C+3.30+ atom. In the eighth O2- site, O2- is bonded in a T-shaped geometry to one Li1+, one V5+, and one C+3.30+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one C+3.30+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one C+3.30+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one C+3.30+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one C+3.30+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one C+3.30+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one C+3.30+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one C+3.30+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one C+3.30+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one V5+, and one C+3.30+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one C+3.30+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one V5+ and one C+3.30+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one C+3.30+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one C+3.30+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one C+3.30+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one C+3.30+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one C+3.30+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V5+, and one C+3.30+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one C+3.30+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one C+3.30+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one C+3.30+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one C+3.30+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one C+3.30+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe11Si4(H4O9)3 by Materials Project

Fe11Si4(H4O9)3 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of one Fe11Si4(H4O9)3 sheet oriented in the (0, -1, 1) direction. there are eleven inequivalent Fe+2.36+ sites. In the first Fe+2.36+ site, Fe+2.36+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three FeO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Fe–O bond distances ranging from 1.89–1.91 Å. In the second Fe+2.36+ site, Fe+2.36+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three FeO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Fe–O bond distances ranging from 1.88–1.92 Å. In the third Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the fourth Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, a cornercorner with one SiO4 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 fifth Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the sixth Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.22 Å. In the seventh Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the eighth Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.08–2.25 Å. In the ninth Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.10 Å. In the tenth Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the eleventh Fe+2.36+ site, Fe+2.36+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. There are four 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, a cornercorner with one SiO4 tetrahedra, and corners with two equivalent FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There is two shorter (1.63 Å) and two longer (1.69 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with two equivalent FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There is two shorter (1.64 Å) and two longer (1.66 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 FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There is two shorter (1.63 Å) and two longer (1.69 Å) Si–O bond length. There are twelve inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.36+ and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to four Fe+2.36+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.36+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.36+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.36+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to four Fe+2.36+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.36+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe+2.36+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.36+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.36+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.36+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.36+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Fe+2.36+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Ta15O32 by Materials Project

Ba2Ta15O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six TaO6 octahedra, edges with three equivalent BaO12 cuboctahedra, edges with three TaO6 octahedra, edges with three TaO5 square pyramids, and faces with three TaO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of Ba–O bond distances ranging from 2.89–3.23 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six TaO6 octahedra, edges with three equivalent BaO12 cuboctahedra, edges with three TaO6 octahedra, edges with three TaO5 square pyramids, and faces with three TaO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of Ba–O bond distances ranging from 2.89–3.23 Å. There are fifteen inequivalent Ta4+ sites. In the first Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TaO6 octahedra, corners with three TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two TaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Ta–O bond distances ranging from 1.92–2.10 Å. In the second Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TaO6 octahedra, corners with three TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two TaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Ta–O bond distances ranging from 1.91–2.12 Å. In the third Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TaO6 octahedra, corners with three TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two TaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Ta–O bond distances ranging from 1.91–2.12 Å. In the fourth Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TaO6 octahedra, corners with three TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two TaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Ta–O bond distances ranging from 1.92–2.11 Å. In the fifth Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TaO6 octahedra, corners with three TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two TaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Ta–O bond distances ranging from 1.92–2.11 Å. In the sixth Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TaO6 octahedra, corners with three TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two TaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Ta–O bond distances ranging from 1.91–2.12 Å. In the seventh Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with six BaO12 cuboctahedra and corners with six TaO6 octahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are three shorter (2.00 Å) and three longer (2.01 Å) Ta–O bond lengths. In the eighth Ta4+ site, Ta4+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with four TaO6 octahedra, corners with four TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–53°. There are a spread of Ta–O bond distances ranging from 2.06–2.22 Å. In the ninth Ta4+ site, Ta4+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with four TaO6 octahedra, corners with four TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–53°. There are a spread of Ta–O bond distances ranging from 2.06–2.22 Å. In the tenth Ta4+ site, Ta4+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with four TaO6 octahedra, corners with four TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–54°. There are a spread of Ta–O bond distances ranging from 2.06–2.22 Å. In the eleventh Ta4+ site, Ta4+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with four TaO6 octahedra, corners with four TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–54°. There are a spread of Ta–O bond distances ranging from 2.06–2.22 Å. In the twelfth Ta4+ site, Ta4+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with four TaO6 octahedra, corners with four TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–53°. There are a spread of Ta–O bond distances ranging from 2.06–2.22 Å. In the thirteenth Ta4+ site, Ta4+ is bonded to five O2- atoms to form TaO5 square pyramids that share corners with four TaO6 octahedra, corners with four TaO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–53°. There are a spread of Ta–O bond distances ranging from 2.06–2.23 Å. In the fourteenth Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TaO6 octahedra, corners with three TaO5 square pyramids, and edges with three TaO5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are three shorter (1.95 Å) and three longer (2.09 Å) Ta–O bond lengths. In the fifteenth Ta4+ site, Ta4+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TaO6 octahedra, corners with three TaO5 square pyramids, and edges with three TaO5 square pyramids. The corner-sharing octahedra tilt angles range from 42–43°. There are three shorter (1.95 Å) and three longer (2.09 Å) Ta–O bond lengths. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a T-shaped geometry to three Ta4+ atoms. In the second O2- site, O2- is bonded in a T-shaped geometry to three Ta4+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ta4+ atoms. In the fourth O2- site, O2- is bonded in a T-shaped geometry to three Ta4+ atoms. In the fifth O2- site, O2- is bonded in a T-shaped geometry to three Ta4+ atoms. In the sixth O2- site, O2- is bonded in a T-shaped geometry to three Ta4+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ta4+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ta4+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ta4+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ta4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ta4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Ta4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ta4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ta4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ta4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ta4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ta4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ta4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ta4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ta4+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ta4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ta4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ta4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ta4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ta4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ta4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3Sr7Ta3Ti7O30 by Materials Project

Na3Sr7Ti7Ta3O30 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three SrO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four TaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.68–2.96 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form distorted NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six SrO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six TaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.61–3.10 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form distorted NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra, corners with six SrO12 cuboctahedra, faces with two SrO12 cuboctahedra, faces with four NaO12 cuboctahedra, faces with two equivalent TiO6 octahedra, and faces with six TaO6 octahedra. There are a spread of Na–O bond distances ranging from 2.64–3.04 Å. There are seven inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four SrO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with three NaO12 cuboctahedra, faces with three SrO12 cuboctahedra, faces with four TiO6 octahedra, and faces with four TaO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.85 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.91 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.89 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with two equivalent NaO12 cuboctahedra, corners with ten SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.67–2.91 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.88 Å. In the sixth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent TaO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.85 Å. In the seventh Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent TaO6 octahedra, and faces with six TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.88 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Ti–O bond distances ranging from 1.85–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three TaO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TaO6 octahedra, corners with five TiO6 octahedra, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. There are three inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TiO6 octahedra, corners with three TaO6 octahedra, faces with four NaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ta–O bond distances ranging from 1.98–2.00 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two TiO6 octahedra, corners with four TaO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Ta–O bond distances ranging from 1.92–2.07 Å. In the third Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five TaO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ta–O bond distances ranging from 1.97–2.00 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to one Na1+, three Sr2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Sr2+, and two equivalent Ta5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Na1+, one Sr2+, and two equivalent Ta5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, two equivalent Sr2+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Ta5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Ta5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Na1+ and two Ta5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, one Ti4+, and one Ta5+ atom. In the twenty-first O2- site, O2- is bonded to four Na1+, one Ti4+, and one Ta5+ atom to form distorted ONa4TaTi octahedra that share edges with two equivalent ONa4TaTi octahedra and faces with two equivalent ONa2Sr2Ti2 octahedra. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent Sr2+, and two Ta5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, three Sr2+, and two equivalent Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Na1+, two Sr2+, and two equivalent Ti4+ atoms to form distorted ONa2Sr2Ti2 octahedra that share corners with two equivalent ONa2Sr2Ti2 octahedra and faces with two equivalent ONa4TaTi octahedra. The corner-sharing octahedral tilt angles are 0°. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to two Na1+, two Sr2+, and two equivalent Ta5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Yb4Zr3O12 by Materials Project

Zr3Yb4O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.26–2.53 Å. In the second Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.53 Å. In the third Yb3+ site, Yb3+ is bonded to six O2- atoms to form YbO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one YbO7 hexagonal pyramid. There are a spread of Yb–O bond distances ranging from 2.21–2.30 Å. In the fourth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.58 Å. In the fifth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.60 Å. In the sixth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.32–2.45 Å. In the seventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.59 Å. In the eighth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.61 Å. In the ninth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Yb–O bond distances ranging from 2.32–2.45 Å. In the tenth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 hexagonal pyramids that share a cornercorner with one ZrO6 octahedra, an edgeedge with one YbO6 octahedra, and edges with two equivalent ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of Yb–O bond distances ranging from 2.29–2.47 Å. In the eleventh Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.60 Å. In the twelfth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.29–2.54 Å. In the thirteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.24–2.76 Å. In the fourteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.60 Å. In the fifteenth Yb3+ site, Yb3+ is bonded to seven O2- atoms to form distorted YbO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and edges with two ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Yb–O bond distances ranging from 2.28–2.49 Å. In the sixteenth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.45 Å. There are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.09–2.26 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 pentagonal bipyramid, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.15 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 40°. There are a spread of Zr–O bond distances ranging from 2.08–2.26 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 hexagonal pyramid, a cornercorner with one YbO7 pentagonal bipyramid, corners with two ZrO7 pentagonal bipyramids, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.03–2.15 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Zr–O bond distances ranging from 2.11–2.25 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.33 Å. In the seventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, an edgeedge with one YbO7 pentagonal bipyramid, and an edgeedge with one ZrO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 41°. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ZrO6 octahedra, a cornercorner with one YbO7 pentagonal bipyramid, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YbO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 38°. There are a spread of Zr–O bond distances ranging from 2.09–2.25 Å. In the ninth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share a cornercorner with one YbO7 pentagonal bipyramid, a cornercorner with one ZrO7 pentagonal bipyramid, an edgeedge with one YbO7 pentagonal bipyramid, and edges with two ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.01–2.20 Å. In the tenth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one YbO6 octahedra, edges with two equivalent YbO7 hexagonal pyramids, an edgeedge with one ZrO6 octahedra, and an edgeedge with one YbO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–O bond distances ranging from 2.11–2.24 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.40 Å. In the twelfth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.06–2.26 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the third O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with ten OYb3Zr tetrahedra and edges with two OYb2Zr2 tetrahedra. In the seventh O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the ninth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with ten OYb3Zr tetrahedra and edges with three OYb2Zr2 tetrahedra. In the tenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the eleventh O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with nine OYb3Zr tetrahedra and edges with three OYb2Zr2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form OYb2Zr2 tetrahedra that share corners with seven OYb3Zr tetrahedra and edges with five OYb2Zr2 tetrahedra. In the thirteenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Yb3+ and two Zr4+ atoms. In the fifteenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the seventeenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OYb3Zr tetrahedra. In the eighteenth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OYb2Zr2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twentieth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Yb3+ and three Zr4+ atoms. In the twenty-second O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the twenty-third O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of edge and corner-sharing OYb3Zr tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Yb3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OYb3Zr tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form distorted OYb2Zr2 tetrahedra that share corners with six OYb3Zr tetrahedra and edges with four OYb2Zr2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Yb3+ and two Zr4+ atoms to form a mixture of edge and corner-sharing OYb2Zr2 tetrahedra. In the twenty-seventh O

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