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Materials Data on KAl11O17 by Materials Project

KAl11O17 is beta indium sulfide-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.27 Å. There are seven inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.06 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.91 Å) and three longer (1.92 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six equivalent AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There is one shorter (1.71 Å) and three longer (1.80 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There is three shorter (1.82 Å) and one longer (1.83 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six equivalent AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There is one shorter (1.72 Å) and three longer (1.79 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is three shorter (1.82 Å) and one longer (1.84 Å) Al–O bond length. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three equivalent Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to three equivalent K1+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to one K1+ and three equivalent Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Al10ZnO16 by Materials Project

ZnAl10O16 is beta indium sulfide-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.95 Å) and one longer (2.00 Å) Zn–O bond length. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent ZnO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There is three shorter (1.87 Å) and three longer (1.95 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is three shorter (1.77 Å) and one longer (1.89 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.00 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.04 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is one shorter (1.82 Å) and three longer (1.86 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There is three shorter (1.76 Å) and one longer (1.80 Å) Al–O bond length. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to one Zn2+ and three Al3+ atoms to form distorted OAl3Zn tetrahedra that share corners with two equivalent OAl3Zn tetrahedra, edges with two equivalent OAl3Zn tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Zn2+ and three equivalent Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Co5O8 by Materials Project

Co5O8 is beta indium sulfide-like structured and crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are two inequivalent Co+3.20+ sites. In the first Co+3.20+ site, Co+3.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent CoO4 tetrahedra and edges with six equivalent CoO6 octahedra. There is three shorter (1.87 Å) and three longer (1.94 Å) Co–O bond length. In the second Co+3.20+ site, Co+3.20+ is bonded to four equivalent O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. All Co–O bond lengths are 1.92 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three equivalent Co+3.20+ atoms. In the second O2- site, O2- is bonded to four Co+3.20+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiCo3CuO8 by Materials Project

LiCo3CuO8 is beta indium sulfide-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent CoO6 octahedra, edges with two equivalent CuO6 octahedra, and edges with four equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are two shorter (2.16 Å) and four longer (2.23 Å) Li–O bond lengths. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with two equivalent LiO6 octahedra, edges with two equivalent CuO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.90 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent CuO6 octahedra, and edges with four equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There is four shorter (1.91 Å) and two longer (1.94 Å) Co–O bond length. Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share edges with two equivalent LiO6 octahedra and edges with six CoO6 octahedra. There is two shorter (1.91 Å) and four longer (1.95 Å) Cu–O bond length. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Co4+, and one Cu3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Co4+ and one Cu3+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na2Ga11O17 by Materials Project

Na2Ga11O17 is beta indium sulfide-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–3.07 Å. In the second Na1+ site, Na1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are one shorter (2.29 Å) and two longer (2.39 Å) Na–O bond lengths. There are six inequivalent Ga+2.91+ sites. In the first Ga+2.91+ site, Ga+2.91+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.93–2.10 Å. In the second Ga+2.91+ site, Ga+2.91+ is bonded to four O2- atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ga–O bond distances ranging from 1.93–1.95 Å. In the third Ga+2.91+ site, Ga+2.91+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ga–O bond distances ranging from 1.82–1.89 Å. In the fourth Ga+2.91+ site, Ga+2.91+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with six equivalent GaO4 tetrahedra and edges with six GaO6 octahedra. There are two shorter (2.02 Å) and four longer (2.03 Å) Ga–O bond lengths. In the fifth Ga+2.91+ site, Ga+2.91+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.13 Å. In the sixth Ga+2.91+ site, Ga+2.91+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.13 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga+2.91+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga+2.91+ atoms. In the third O2- site, O2- is bonded to one Na1+ and three Ga+2.91+ atoms to form distorted ONaGa3 tetrahedra that share corners with three ONaGa3 tetrahedra and an edgeedge with one ONa2Ga2 trigonal pyramid. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga+2.91+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and three Ga+2.91+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ga+2.91+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and three Ga+2.91+ atoms. In the eighth O2- site, O2- is bonded to two Na1+ and two equivalent Ga+2.91+ atoms to form a mixture of distorted edge and corner-sharing ONa2Ga2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Na1+ and three Ga+2.91+ atoms to form distorted ONaGa3 tetrahedra that share corners with three ONaGa3 tetrahedra and a cornercorner with one ONa2Ga2 trigonal pyramid.

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Materials Data on Li2Cu2F5 by Materials Project

Li2Cu2F5 is beta indium sulfide-derived structured and crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six F1- atoms to form edge-sharing LiF6 octahedra. There are a spread of Li–F bond distances ranging from 1.96–2.12 Å. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form edge-sharing LiF6 octahedra. There are a spread of Li–F bond distances ranging from 1.98–2.24 Å. There are two inequivalent Cu+1.50+ sites. In the first Cu+1.50+ site, Cu+1.50+ is bonded in a distorted see-saw-like geometry to four F1- atoms. There are a spread of Cu–F bond distances ranging from 1.85–2.44 Å. In the second Cu+1.50+ site, Cu+1.50+ is bonded in a T-shaped geometry to three F1- atoms. There are a spread of Cu–F bond distances ranging from 1.84–2.01 Å. There are five inequivalent F1- sites. In the first F1- site, F1- is bonded in a rectangular see-saw-like geometry to three equivalent Li1+ and one Cu+1.50+ atom. In the second F1- site, F1- is bonded to three Li1+ and one Cu+1.50+ atom to form corner-sharing FLi3Cu trigonal pyramids. In the third F1- site, F1- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Cu+1.50+ atom. In the fourth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cu+1.50+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one Cu+1.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2(NiO2)5 by Materials Project

Li2(NiO2)5 is beta indium sulfide-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. 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 1.92–2.09 Å. There are three inequivalent Ni+3.60+ sites. In the first Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form edge-sharing NiO6 octahedra. All Ni–O bond lengths are 1.88 Å. In the second Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form edge-sharing NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–2.06 Å. In the third Ni+3.60+ site, Ni+3.60+ is bonded to six O2- atoms to form edge-sharing NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.85–1.92 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ni+3.60+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ni+3.60+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ni+3.60+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Ni+3.60+ atoms to form distorted edge-sharing OLiNi3 tetrahedra. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ni+3.60+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn7(OF7)2 by Materials Project

Li4Mn7(OF7)2 is beta indium sulfide-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to one O2- and three F1- atoms to form LiOF3 tetrahedra that share corners with ten MnF6 octahedra. The corner-sharing octahedra tilt angles range from 49–64°. The Li–O bond length is 2.06 Å. There are two shorter (2.01 Å) and one longer (2.13 Å) Li–F bond lengths. In the second Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with eleven MnF6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Li–F bond distances ranging from 1.93–1.99 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six LiOF3 tetrahedra and edges with five MnF6 octahedra. There are a spread of Mn–F bond distances ranging from 2.09–2.23 Å. In the second Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six LiOF3 tetrahedra and edges with four MnF6 octahedra. There are a spread of Mn–F bond distances ranging from 2.12–2.21 Å. In the third Mn2+ site, Mn2+ is bonded to two equivalent O2- and four equivalent F1- atoms to form MnO2F4 octahedra that share corners with six LiOF3 tetrahedra and edges with six MnF6 octahedra. Both Mn–O bond lengths are 2.05 Å. All Mn–F bond lengths are 2.29 Å. In the fourth Mn2+ site, Mn2+ is bonded to two equivalent O2- and four F1- atoms to form MnO2F4 octahedra that share corners with six LiOF3 tetrahedra and edges with six MnF6 octahedra. Both Mn–O bond lengths are 2.04 Å. There are two shorter (2.28 Å) and two longer (2.34 Å) Mn–F bond lengths. O2- is bonded to one Li1+ and three Mn2+ atoms to form corner-sharing OLiMn3 tetrahedra. There are five inequivalent F1- sites. In the first F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn2+ atoms. In the second F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn2+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the fourth F1- site, F1- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn2+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two equivalent Mn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn2F7 by Materials Project

Li3Mn2F7 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.81–2.14 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.81–2.14 Å. In the third Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra and edges with four MnF6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–F bond distances ranging from 1.99–2.37 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra and edges with four MnF6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–F bond distances ranging from 1.99–2.37 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.81–2.15 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.81–2.14 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six F1- atoms to form distorted MnF6 octahedra that share a cornercorner with one LiF6 octahedra, corners with three equivalent MnF6 octahedra, an edgeedge with one MnF6 octahedra, and edges with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Mn–F bond distances ranging from 2.05–2.35 Å. In the second Mn2+ site, Mn2+ is bonded to six F1- atoms to form distorted MnF6 octahedra that share a cornercorner with one LiF6 octahedra, corners with three equivalent MnF6 octahedra, an edgeedge with one MnF6 octahedra, and edges with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Mn–F bond distances ranging from 2.05–2.36 Å. In the third Mn2+ site, Mn2+ is bonded to six F1- atoms to form distorted MnF6 octahedra that share a cornercorner with one LiF6 octahedra, corners with three equivalent MnF6 octahedra, an edgeedge with one MnF6 octahedra, and edges with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Mn–F bond distances ranging from 2.05–2.33 Å. In the fourth Mn2+ site, Mn2+ is bonded to six F1- atoms to form distorted MnF6 octahedra that share a cornercorner with one LiF6 octahedra, corners with three equivalent MnF6 octahedra, an edgeedge with one MnF6 octahedra, and edges with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Mn–F bond distances ranging from 2.05–2.33 Å. There are fourteen inequivalent F1- sites. In the first F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 trigonal pyramids. In the second F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 tetrahedra. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one Mn2+ atom. In the fourth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 trigonal pyramids. In the fifth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 tetrahedra. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one Mn2+ atom. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one Mn2+ atom. In the eighth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 trigonal pyramids. In the ninth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 trigonal pyramids. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one Mn2+ atom. In the eleventh F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form corner-sharing FLi2Mn2 tetrahedra. In the twelfth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 tetrahedra. In the thirteenth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing FLi2Mn2 trigonal pyramids. In the fourteenth F1- site, F1- is bonded to two Li1+ and two Mn2+ atoms to form corner-sharing FLi2Mn2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr2Fe23O38 by Materials Project

Sr2Fe23O38 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, edges with three equivalent FeO5 trigonal bipyramids, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.78–3.00 Å. In the second Sr site, Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, edges with six FeO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.82–3.05 Å. There are twenty-three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.86–2.03 Å. In the fourth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–61°. There is three shorter (1.93 Å) and one longer (1.95 Å) Fe–O bond length. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.06 Å. In the sixth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with six FeO6 octahedra, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There is four shorter (1.97 Å) and two longer (1.98 Å) Fe–O bond length. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.05 Å. In the ninth Fe site, Fe is bonded to five O atoms to form FeO5 trigonal bipyramids that share corners with twelve FeO6 octahedra and edges with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Fe–O bond distances ranging from 1.88–2.34 Å. In the tenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.91–1.95 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.95–2.14 Å. In the thirteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.05 Å. In the fourteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the fifteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the seventeenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.95 Å. In the eighteenth Fe site, Fe is bonded to four O atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There is two shorter (1.93 Å) and two longer (1.95 Å) Fe–O bond length. In the nineteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, corners with three equivalent FeO5 trigonal bipyramids, faces with three equivalent SrO12 cuboctahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the twentieth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the twenty-first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the twenty-second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the twenty-third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three FeO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fourth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the fifth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the ninth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal non-coplanar geometry to three Fe atoms. In the eleventh O site, O is bonded to four Fe atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirteenth O site, O is bonded to four Fe atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the fourteenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the sixteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the seventeenth O site, O is bonded in a distorted L-shaped geometry to two equivalent Sr and two Fe atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twentieth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-second O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-third O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the twenty-sixth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the twenty-seventh O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-eighth O site, O is bonded in a 4-coordinate geometry to one Sr and three Fe atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr and three Fe atoms. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the thirty-third O site, O is bonded in a rectangular see-saw-like geometry to four Fe atom

36 MATERIALS SCIENCE↗

Materials Data on LaAl12O19 by Materials Project

LaAl12O19 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cc space group. The structure is three-dimensional. La2+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with six equivalent LaO12 cuboctahedra, edges with six AlO6 octahedra, edges with three equivalent AlO5 trigonal bipyramids, and faces with six AlO6 octahedra. There are a spread of La–O bond distances ranging from 2.69–2.88 Å. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, an edgeedge with one LaO12 cuboctahedra, and edges with five AlO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Al–O bond distances ranging from 1.86–2.02 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, an edgeedge with one LaO12 cuboctahedra, and edges with five AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Al–O bond distances ranging from 1.85–2.00 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO6 octahedra, corners with three equivalent AlO5 trigonal bipyramids, faces with three equivalent LaO12 cuboctahedra, and a faceface with one AlO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Al–O bond distances ranging from 1.88–2.01 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Al–O bond distances ranging from 1.83–1.85 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO6 octahedra, corners with three equivalent AlO5 trigonal bipyramids, faces with three equivalent LaO12 cuboctahedra, and a faceface with one AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Al–O bond distances ranging from 1.89–1.99 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. All Al–O bond lengths are 1.85 Å. In the seventh Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 trigonal bipyramids that share corners with twelve AlO6 octahedra and edges with three equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–62°. There are a spread of Al–O bond distances ranging from 1.78–2.49 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.93 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, an edgeedge with one LaO12 cuboctahedra, and edges with five AlO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, an edgeedge with one LaO12 cuboctahedra, and edges with five AlO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.85–2.00 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, an edgeedge with one LaO12 cuboctahedra, and edges with five AlO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Al–O bond distances ranging from 1.85–2.00 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with three AlO4 tetrahedra, a cornercorner with one AlO5 trigonal bipyramid, an edgeedge with one LaO12 cuboctahedra, and edges with five AlO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Al–O bond distances ranging from 1.86–2.02 Å. There are nineteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the second O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted corner and edge-sharing OAl4 trigonal pyramids. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La2+ and three Al3+ atoms. In the sixth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted corner and edge-sharing OAl4 trigonal pyramids. In the seventh O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 tetrahedra. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La2+ and three Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La2+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the nineteenth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted corner and edge-sharing OAl4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ti12O24 by Materials Project

Li5Ti12O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.09 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.08 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.10 Å. In the fourth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.09 Å. There are eight inequivalent Ti+3.58+ sites. In the first Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the second Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the third Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.07 Å. In the fourth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the fifth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Ti–O bond distances ranging from 1.96–2.09 Å. In the sixth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the seventh Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 2.00–2.04 Å. In the eighth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Ti–O bond distances ranging from 1.95–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.58+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the third O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.58+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.58+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLi2Ti3 square pyramids, corners with two OLiTi3 tetrahedra, and edges with two OLi2Ti3 square pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.58+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti3 square pyramids, corners with two equivalent OLiTi3 tetrahedra, and edges with two equivalent OLi2Ti3 square pyramids. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.58+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.58+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the eleventh O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.58+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra. In the twelfth O2- site, O2- is bonded to two Li1+ and three Ti+3.58+ atoms to form OLi2Ti3 square pyramids that share corners with two OLiTi3 tetrahedra, edges with two OLi2Ti3 square pyramids, and edges with two OLiTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.58+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3Mn8O16 by Materials Project

Na3Mn8O16 is beta indium sulfide-derived structured and crystallizes in the orthorhombic Pmmn space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 60–67°. There are two shorter (2.15 Å) and two longer (2.16 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Na–O bond distances ranging from 2.16–2.19 Å. There are four inequivalent Mn+3.62+ sites. In the first Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. In the second Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.01 Å. In the third Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (1.96 Å) and four longer (2.05 Å) Mn–O bond lengths. In the fourth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.04 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Mn+3.62+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Mn+3.62+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the third O2- site, O2- is bonded to one Na1+ and three Mn+3.62+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.62+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.62+ atoms to form a mixture of corner and edge-sharing ONaMn3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.62+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.62+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaMn3O6 by Materials Project

NaMn3O6 is beta indium sulfide-derived structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are two shorter (2.15 Å) and two longer (2.20 Å) Na–O bond lengths. There are four inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four equivalent NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.21 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four equivalent NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.67+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted corner and edge-sharing ONaMn3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of corner and edge-sharing ONaMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti11O24 by Materials Project

Li4Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.99 Å) and one longer (2.03 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.99 Å) and one longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Y7Zr9S32 by Materials Project

Li7Y7Zr9S32 is beta indium sulfide-derived structured and 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 S2- atoms to form LiS4 tetrahedra that share corners with four YS6 octahedra and corners with eight ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Li–S bond distances ranging from 2.45–2.60 Å. In the second Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with five YS6 octahedra and corners with seven ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Li–S bond distances ranging from 2.44–2.56 Å. In the third Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with five YS6 octahedra and corners with seven ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Li–S bond distances ranging from 2.44–2.56 Å. In the fourth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with six YS6 octahedra and corners with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of Li–S bond distances ranging from 2.44–2.55 Å. In the fifth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with six YS6 octahedra and corners with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of Li–S bond distances ranging from 2.43–2.56 Å. In the sixth Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with six YS6 octahedra and corners with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Li–S bond distances ranging from 2.43–2.57 Å. In the seventh Li1+ site, Li1+ is bonded to four S2- atoms to form LiS4 tetrahedra that share corners with six YS6 octahedra and corners with six ZrS6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Li–S bond distances ranging from 2.44–2.56 Å. There are seven inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with five LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.71–2.76 Å. In the second Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with four LiS4 tetrahedra and edges with six ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.72–2.76 Å. In the third Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with five LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.70–2.76 Å. In the fourth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.70–2.74 Å. In the fifth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.70–2.75 Å. In the sixth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.70–2.75 Å. In the seventh Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Y–S bond distances ranging from 2.71–2.75 Å. There are nine inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six LiS4 tetrahedra, edges with three YS6 octahedra, and edges with three ZrS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.55–2.62 Å. In the second Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with four LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.51–2.66 Å. In the third Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with four LiS4 tetrahedra, edges with two equivalent YS6 octahedra, and edges with four ZrS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.51–2.67 Å. In the fourth Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six LiS4 tetrahedra, edges with two ZrS6 octahedra, and edges with four YS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.55–2.62 Å. In the fifth Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with three equivalent LiS4 tetrahedra, edges with three YS6 octahedra, and edges with three ZrS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.54–2.65 Å. In the sixth Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with five LiS4 tetrahedra, edges with two ZrS6 octahedra, and edges with four YS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.49–2.63 Å. In the seventh Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six LiS4 tetrahedra, edges with two ZrS6 octahedra, and edges with four YS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.55–2.62 Å. In the eighth Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six LiS4 tetrahedra, edges with two ZrS6 octahedra, and edges with four YS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.56–2.62 Å. In the ninth Zr4+ site, Zr4+ is bonded to six S2- atoms to form ZrS6 octahedra that share corners with six LiS4 tetrahedra, edges with two ZrS6 octahedra, and edges with four YS6 octahedra. There are a spread of Zr–S bond distances ranging from 2.56–2.62 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Zr4+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to one Y3+ and two Zr4+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the fourth S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to one Li1+ and three Zr4+ atoms. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to one Y3+ and two Zr4+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to two Y3+ and one Zr4+ atom. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the fifteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the sixteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the seventeenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the eighteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the nineteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the twentieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the twenty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twenty-third S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twenty-fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twenty-fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twenty-sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the twenty-eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the twenty-ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the thirtieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Y3+, and one Zr4+ atom. In the thirty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms. In the thirty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Y3+, and two Zr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti9O20 by Materials Project

Li4Ti9O20 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.99 Å) and two longer (2.01 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.97 Å) and one longer (2.10 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There is two shorter (1.98 Å) and two longer (2.01 Å) Li–O bond length. There are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.17 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.82–2.06 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with three OLiTi3 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, corners with two equivalent OLi2Ti2 trigonal pyramids, and edges with three OLiTi3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with three OLiTi3 tetrahedra. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti2 trigonal pyramids and edges with three OLiTi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti4+ atom

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn10Cr6O32 by Materials Project

Li7Cr6Mn10O32 is beta indium sulfide-derived structured and 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 LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CrO6 octahedra and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CrO6 octahedra and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six CrO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six CrO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. There are six inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are four shorter (2.01 Å) and two longer (2.02 Å) Cr–O bond lengths. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Cr–O bond lengths. In the fifth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the sixth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. There are ten inequivalent Mn+2.10+ sites. In the first Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There is two shorter (1.94 Å) and four longer (1.96 Å) Mn–O bond length. In the second Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the third Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fourth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the fifth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the sixth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the seventh Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the eighth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the ninth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the tenth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Mn+2.10+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Mn+2.10+ atoms. In the third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr tetrahedra that share corners with eight OLiMnCr2 trigonal pyramids, an edgeedge with one OLiMn2Cr tetrahedra, and edges with two OLiMn2Cr trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with seven OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with seven OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn2Cr trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+2.10+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMn2Cr trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with five OLiMn2Cr tetrahedra and corners with seven OLiMnCr2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with nine OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids

36 MATERIALS SCIENCE↗