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Materials Data on LiFe5O8 by Materials Project

LiFe5O8 is Spinel-like 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 six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. There are forty inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Fe–O bond distances ranging from 1.88–2.00 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.83–1.99 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.18 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.06 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.01 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four LiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Fe–O bond distances ranging from 1.92–1.94 Å. In the eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four LiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There is one shorter (1.92 Å) and three longer (1.93 Å) Fe–O bond length. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Fe–O bond distances ranging from 1.91–1.93 Å. In the tenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.17 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.00 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three LiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.14 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.01 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.99 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Fe–O bond distances ranging from 1.84–1.99 Å. In the twentieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.99 Å. In the twenty-first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.01 Å. In the twenty-second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.12 Å. In the twenty-third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.07 Å. In the twenty-fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. In the twenty-fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.12 Å. In the twenty-sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. In the twenty-seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.89–1.96 Å. In the twenty-eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the twenty-ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.92 Å. In the thirtieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Fe–O bond distances ranging from 1.89–1.97 Å. In the thirty-first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.07 Å. In the thirty-second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.05 Å. In the thirty-third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the thirty-fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. In the thirty-fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.02 Å. In the thirty-sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra t

36 MATERIALS SCIENCE↗

Materials Data on Li14Mn22Cr3Cu3O56 by Materials Project

Li14Cr3Mn22Cu3O56 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with three equivalent CuO6 octahedra, and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fifth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent CrO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the ninth Li site, Li is bonded to four O 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 55–61°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the tenth Li site, Li is bonded to four O 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 58–61°. There are three shorter (2.00 Å) and one longer (2.05 Å) Li–O bond lengths. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two equivalent CuO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the twelfth Li site, Li is bonded to four O 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 55–61°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the thirteenth Li site, Li is bonded to four O 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 54–61°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the fourteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent CrO6 octahedra, corners with three equivalent CuO6 octahedra, and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. There are three inequivalent Cr sites. In the first Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.01 Å) and four longer (2.02 Å) Cr–O bond lengths. In the second Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.01 Å) and four longer (2.02 Å) Cr–O bond lengths. In the third Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.03 Å. There are fifteen inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.04 Å. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There is two shorter (1.96 Å) and four longer (1.98 Å) Mn–O bond length. In the fifth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the sixth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. In the seventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eighth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the ninth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the tenth Mn site, Mn is bonded to six O atoms to form MnO6 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 Mn–O bond distances ranging from 1.96–2.05 Å. In the eleventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one CuO6 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 twelfth Mn site, Mn is bonded to six O atoms to form MnO6 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 Mn–O bond distances ranging from 1.96–2.05 Å. In the thirteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.94 Å) and four longer (1.95 Å) Mn–O bond length. In the fourteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the fifteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.11 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.07 Å) and four longer (2.09 Å) Cu–O bond lengths. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.02 Å) and four longer (2.10 Å) Cu–O bond lengths. There are forty-two inequivalent O sites. In the first O site, O is bonded to one Li, one Cr, and two Mn atoms to form a mixture of distorted edge and corner-sharing OLiMn2Cr trigonal pyramids. In the second O site, O is bonded to one Li and three Mn atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, one Cr, one Mn, and one Cu atom. In the fourth O site, O is bonded to one Li, one Cr, and two equivalent Mn atoms to form distorted corner-sharing OLiMn2Cr trigonal pyramids. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two equivalent Mn, and one Cu atom. In the sixth O site, O is bonded to one Li, one Cr, and two equivalent Mn atoms to form a mixture of distorted edge and corner-sharing OLiMn2Cr trigonal pyramids. In the seventh O site, O is bonded to one Li, one Cr, and two Mn atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with seven OLiMn2Cr trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the eighth O site, O is bonded to one Li, one Cr, and two equivalent Mn atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with six OLiMn2Cr trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Mn atoms. In the tenth O site, O is bonded to one Li, two equivalent Mn, and one Cu atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with three OLiMn2Cr trigonal pyramids, and edges with two equivalent OLiMn2Cu trigonal pyramids. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Mn atoms. In the twelfth O site, O is bonded to one Li, two Mn, and one Cu atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with three OLiMn2Cr trigonal pyramids, and edges with two OLiMn2Cu trigonal pyramids. In t

36 MATERIALS SCIENCE↗

Materials Data on Li3VCr3O8 by Materials Project

Li3VCr3O8 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 to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one VO6 octahedra, edges with four LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.14–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four CrO6 octahedra, edges with four LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.12–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one VO6 octahedra, corners with five CrO6 octahedra, edges with two equivalent VO6 octahedra, edges with four LiO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.10–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one VO6 octahedra, corners with five CrO6 octahedra, edges with three VO6 octahedra, edges with three CrO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.13–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with four CrO6 octahedra, edges with four LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.17–2.26 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one VO6 octahedra, corners with five CrO6 octahedra, edges with three VO6 octahedra, edges with three CrO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.13–2.24 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, an edgeedge with one VO6 octahedra, edges with five LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of V–O bond distances ranging from 1.90–2.06 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, an edgeedge with one VO6 octahedra, edges with four LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of V–O bond distances ranging from 1.91–2.07 Å. There are six inequivalent Cr+2.67+ sites. In the first Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO6 octahedra, edges with two VO6 octahedra, edges with four CrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the second Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, an edgeedge with one VO6 octahedra, edges with four LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Cr–O bond distances ranging from 2.00–2.10 Å. In the third Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with two VO6 octahedra, edges with four LiO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Cr–O bond distances ranging from 2.01–2.08 Å. In the fourth Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with two VO6 octahedra, edges with four LiO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. In the fifth Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO6 octahedra, an edgeedge with one VO6 octahedra, edges with five LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Cr–O bond distances ranging from 2.00–2.06 Å. In the sixth Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO6 octahedra, edges with two VO6 octahedra, edges with four CrO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Cr–O bond distances ranging from 1.98–2.09 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Cr+2.67+ atoms to form OLi3Cr3 octahedra that share a cornercorner with one OLi3V2Cr octahedra, corners with five OLi2VCr2 square pyramids, edges with two equivalent OLi3Cr3 octahedra, and edges with ten OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the second O2- site, O2- is bonded to two Li1+ and three Cr+2.67+ atoms to form OLi2Cr3 square pyramids that share a cornercorner with one OLi3V2Cr octahedra, corners with eight OLi2VCr2 square pyramids, edges with four OLi3Cr3 octahedra, and edges with four OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 3°. In the third O2- site, O2- is bonded to two Li1+ and three Cr+2.67+ atoms to form OLi2Cr3 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2VCr2 square pyramids, edges with three OLi3Cr3 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the fourth O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3Cr3 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 4–5°. In the fifth O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3Cr3 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. In the sixth O2- site, O2- is bonded to three Li1+, one V5+, and two Cr+2.67+ atoms to form OLi3VCr2 octahedra that share a cornercorner with one OLi3Cr3 octahedra, corners with five OLi2VCr2 square pyramids, edges with two equivalent OLi3V2Cr octahedra, and edges with ten OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded to two Li1+, two V5+, and one Cr+2.67+ atom to form OLi2V2Cr square pyramids that share a cornercorner with one OLi3Cr3 octahedra, corners with eight OLi2Cr3 square pyramids, edges with four OLi3Cr3 octahedra, and edges with four OLi2VCr2 square pyramids. The corner-sharing octahedral tilt angles are 7°. In the eighth O2- site, O2- is bonded to three Li1+ and three Cr+2.67+ atoms to form OLi3Cr3 octahedra that share a cornercorner with one OLi3VCr2 octahedra, corners with five OLi2Cr3 square pyramids, edges with two equivalent OLi3Cr3 octahedra, and edges with ten OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the ninth O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3Cr3 octahedra, and edges with five OLi2VCr2 square pyramids. The corner-sharing octahedra tilt angles range from 4–7°. In the tenth O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3Cr3 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the eleventh O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3VCr2 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the twelfth O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share a cornercorner with one OLi3VCr2 octahedra, corners with eight OLi2Cr3 square pyramids, edges with four OLi3Cr3 octahedra, and edges with four OLi2VCr2 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the thirteenth O2- site, O2- is bonded to two Li1+ and three Cr+2.67+ atoms to form OLi2Cr3 square pyramids that share a cornercorner with one OLi3Cr3 octahedra, corners with eight OLi2Cr3 square pyramids, edges with four OLi3VCr2 octahedra, and edges with four OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the fourteenth O2- site, O2- is bonded to three Li1+, two V5+, and one Cr+2.67+ atom to form OLi3V2Cr octahedra that share a cornercorner with one OLi3Cr3 octahedra, corners with five OLi2Cr3 square pyramids, edges with two equivalent OLi3VCr2 octahedra, and edges with ten OLi2VCr2 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the fifteenth O2- site, O2- is bonded to two Li1+ and three Cr+2.67+ atoms to form OLi2Cr3 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3VCr2 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the sixteenth O2- site, O2- is bonded to two Li1+, one V5+, and two Cr+2.67+ atoms to form OLi2VCr2 square pyramids that share corners with two OLi3Cr3 octahedra, corners with seven OLi2Cr3 square pyramids, edges with three OLi3Cr3 octahedra, and edges with five OLi2VCr2 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Cr7O48 by Materials Project

Li9V12Cr7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–70°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 2.00–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.01–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 60–71°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–66°. There are a spread of V–O bond distances ranging from 1.71–1.83 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–58°. There are a spread of V–O bond distances ranging from 1.68–1.83 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–62°. There are a spread of V–O bond distances ranging from 1.66–1.82 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of V–O bond distances ranging from 1.64–1.86 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.64–1.83 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–66°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–66°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.65–1.83 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–57°. There are a spread of V–O bond distances ranging from 1.68–1.81 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of V–O bond distances ranging from 1.68–1.82 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of V–O bond distances ranging from 1.66–1.82 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–65°. There are a spread of V–O bond distances ranging from 1.71–1.81 Å. There are seven inequivalent Cr+3.86+ sites. In the first Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.04 Å. In the second Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Cr–O bond distances ranging from 1.89–2.03 Å. In the third Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the fourth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the fifth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.86–2.08 Å. In the sixth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the seventh Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.08 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cr+3.86+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cr+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn7V12O48 by Materials Project

Li9V12Mn7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.96–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–72°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 57–70°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.97–2.37 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 2.00–2.37 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 60–73°. There are a spread of Li–O bond distances ranging from 2.08–2.30 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–68°. There are a spread of V–O bond distances ranging from 1.70–1.85 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of V–O bond distances ranging from 1.68–1.83 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–62°. There are a spread of V–O bond distances ranging from 1.65–1.80 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of V–O bond distances ranging from 1.65–1.81 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of V–O bond distances ranging from 1.64–1.85 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–68°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–68°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form distorted VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of V–O bond distances ranging from 1.63–1.91 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–57°. There are a spread of V–O bond distances ranging from 1.67–1.83 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–58°. There are a spread of V–O bond distances ranging from 1.68–1.82 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–62°. There are a spread of V–O bond distances ranging from 1.66–1.79 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 20–67°. There are a spread of V–O bond distances ranging from 1.71–1.80 Å. There are seven inequivalent Mn+3.86+ sites. In the first Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.03 Å. In the second Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. In the third Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the fourth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.89–1.98 Å. In the fifth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the sixth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 1.88–2.19 Å. In the seventh Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.04 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and one V5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Mn+3.86+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Mn+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ a

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr12Co7O48 by Materials Project

Li9Cr12Co7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–73°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–72°. There are a spread of Li–O bond distances ranging from 2.14–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 65–66°. There are a spread of Li–O bond distances ranging from 2.13–2.30 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–72°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. There are twelve inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra and corners with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.74 Å. In the third Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Cr–O bond distances ranging from 1.63–1.72 Å. In the fourth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Cr–O bond distances ranging from 1.63–1.71 Å. In the fifth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of Cr–O bond distances ranging from 1.62–1.72 Å. In the sixth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 27–62°. There are a spread of Cr–O bond distances ranging from 1.66–1.70 Å. In the seventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 28–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. In the eighth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Cr–O bond distances ranging from 1.62–1.70 Å. In the ninth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.72 Å. In the tenth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.69 Å. In the eleventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the twelfth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. There are seven inequivalent Co+2.14+ sites. In the first Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.17 Å. In the second Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Co–O bond distances ranging from 2.05–2.12 Å. In the third Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Co–O bond distances ranging from 2.03–2.11 Å. In the fourth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Co–O bond distances ranging from 1.99–2.10 Å. In the fifth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the sixth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Co–O bond distances ranging from 2.01–2.11 Å. In the seventh Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.18 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one Cr6+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and one Cr6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr6+ and two Co+2.14+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Co+2.14+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. I

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.20 Å) and one longer (2.28 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.22–2.27 Å. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are one shorter (2.06 Å) and two longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.11–2.32 Å. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. There are one shorter (2.21 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.23 Å. In the sixth Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form distorted HfN2O4 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are one shorter (2.08 Å) and one longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.20 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.24 Å) and one longer (2.30 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.16 Å) and one longer (2.17 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.16 Å. There are one shorter (2.20 Å) and one longer (2.36 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.25 Å. There are one shorter (2.19 Å) and one longer (2.22 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. The Hf–O bond length is 2.26 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.21 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.15–2.27 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.22 Å. The Hf–O bond length is 2.31 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.11–2.23 Å. There are one shorter (2.19 Å) and one longer (2.30 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with f

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.21 Å. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.15 Å) and one longer (2.23 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.14 Å) and one longer (2.19 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.24 Å. There are one shorter (2.19 Å) and one longer (2.35 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Hf–N bond distances ranging from 2.06–2.19 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.26 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.19 Å) and one longer (2.27 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.20 Å. There are one shorter (2.14 Å) and one longer (2.22 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.21 Å. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.19 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. The Hf–O bond length is 2.33 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.19 Å. There are one shorter (2.14 Å) and one longer (2.18 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Hf–N bond distances ranging from 2.12–2.26 Å. The Hf–O bond length is 2.25 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.17 Å. Both Hf–O bond lengths are 2.26 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.08–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.26 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.25 Å. The Hf–O bond length is 2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.19 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form a mixture of edge and corner-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are one shorter (2.12 Å) and one longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.15 Å. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.13 Å) and one longer (2.23 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. There are one shorter (2.14 Å) and one longer (2.18 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.15 Å) and one longer (2.18 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.07–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.24 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.19 Å) and one longer (2.28 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.16–2.20 Å. There are one shorter (2.15 Å) and one longer (2.17 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.29 Å. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.13 Å) and one longer (2.25 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.25 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. The Hf–O bond length is 2.33 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.23 Å. There are one shorter (2.22 Å) and one longer (2.28 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.26 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.12–2.27 Å. The Hf–O bond length is 2.23 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.15 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.25 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.15–2.24 Å. The Hf–O bond length is 2.18 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five O

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Fe7O48 by Materials Project

Li9V12Fe7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the second Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–71°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the third Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–71°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the fourth Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.19 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the seventh Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the eighth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with two FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the ninth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–71°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. There are twelve inequivalent V sites. In the first V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 23–64°. There are a spread of V–O bond distances ranging from 1.71–1.85 Å. In the second V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of V–O bond distances ranging from 1.70–1.81 Å. In the third V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.71–1.80 Å. In the fourth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–61°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. In the fifth V site, V is bonded to four O atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–60°. There are a spread of V–O bond distances ranging from 1.69–1.81 Å. In the sixth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 29–65°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. In the seventh V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 29–65°. There are a spread of V–O bond distances ranging from 1.72–1.80 Å. In the eighth V site, V is bonded to four O atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of V–O bond distances ranging from 1.69–1.82 Å. In the ninth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–56°. There are a spread of V–O bond distances ranging from 1.71–1.77 Å. In the tenth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of V–O bond distances ranging from 1.70–1.80 Å. In the eleventh V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.71–1.80 Å. In the twelfth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 22–63°. There are a spread of V–O bond distances ranging from 1.72–1.80 Å. There are seven inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Fe–O bond distances ranging from 1.96–2.06 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.95–2.11 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.14 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the second O site, O is bonded in a trigonal planar geometry to two Li and one V atom. In the third O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to two Li and one V atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Li and one V atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one V and two Fe atoms. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the twelfth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the eighteenth O site, O is bonded in a distorted trigonal planar geometry to one V and two Fe atoms. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to two Li and one V atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to two Li and one V atom. In the twenty-second O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the twenty-third O site, O is bonded in a trigonal planar geometry to two Li and one V atom. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the twenty-fifth O site, O is bonded in a trigonal planar geometry to one

36 MATERIALS SCIENCE↗

Materials Data on KNa3V2(MoO5)2 by Materials Project

KNa3V2(MoO5)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.60–2.92 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.59–2.89 Å. In the third K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.60–2.90 Å. In the fourth K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.59–2.91 Å. In the fifth K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.54–2.96 Å. In the sixth K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.60–2.92 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.59–3.20 Å. In the eighth K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.60–2.88 Å. There are twenty-four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–3.00 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.98 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.96 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.99 Å. In the fifth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.98 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.98 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–3.03 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–3.05 Å. In the ninth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.97 Å. In the tenth 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 2.33–2.77 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.90 Å. In the twelfth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–2.93 Å. In the thirteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–3.00 Å. In the fourteenth 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 2.34–2.80 Å. In the fifteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.98 Å. In the sixteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.98 Å. In the seventeenth 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 2.33–2.76 Å. In the eighteenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–3.01 Å. In the nineteenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–3.03 Å. In the twentieth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.99 Å. In the twenty-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 2.34–2.76 Å. In the twenty-second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.93 Å. In the twenty-third 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 2.31–2.77 Å. In the twenty-fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.98 Å. There are sixteen inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of V–O bond distances ranging from 1.77–1.88 Å. In the second V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–44°. There are a spread of V–O bond distances ranging from 1.77–1.91 Å. In the third V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–45°. There is two shorter (1.78 Å) and two longer (1.88 Å) V–O bond length. In the fourth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of V–O bond distances ranging from 1.76–1.90 Å. In the fifth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–47°. There are a spread of V–O bond distances ranging from 1.78–1.88 Å. In the sixth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of V–O bond distances ranging from 1.77–1.89 Å. In the seventh V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of V–O bond distances ranging from 1.78–1.89 Å. In the eighth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of V–O bond distances ranging from 1.77–1.90 Å. In the ninth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–45°. There are a spread of V–O bond distances ranging from 1.78–1.89 Å. In the tenth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of V–O bond distances ranging from 1.77–1.90 Å. In the eleventh V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–46°. There are a spread of V–O bond distances ranging from 1.78–1.88 Å. In the twelfth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of V–O bond distances ranging from 1.78–1.89 Å. In the thirteenth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of V–O bond distances ranging from 1.78–1.89 Å. In the fourteenth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of V–O bond distances ranging from 1.78–1.90 Å. In the fifteenth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 23–47°. There are a spread of V–O bond distances ranging from 1.77–1.88 Å. In the sixteenth V4+ site, V4+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of V–O bond distances ranging from 1.78–1.90 Å. There are sixteen inequivalent Mo4+ sites. In the first Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Mo–O bond distances ranging from 2.03–2.20 Å. In the second Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Mo–O bond distances ranging from 2.05–2.17 Å. In the third Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Mo–O bond distances ranging from 2.03–2.20 Å. In the fourth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of Mo–O bond distances ranging from 2.04–2.16 Å. In the fifth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Mo–O bond distances ranging from 2.03–2.22 Å. In the sixth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Mo–O bond distances ranging from 2.04–2.16 Å. In the seventh Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Mo–O bond distances ranging from 2.03–2.22 Å. In the eighth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with four MoO6 octahedra and corners with two V

36 MATERIALS SCIENCE↗

Materials Data on Ba3Sr5Co3Cu5O24 by Materials Project

Ba3Sr5Co3Cu5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.77–2.86 Å. In the second Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.87 Å. In the third Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.77–2.86 Å. There are five inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.81 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.82 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.79 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.81 Å. In the fifth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.82 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Co–O bond distances ranging from 1.90–1.99 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Co–O bond distances ranging from 1.89–1.96 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.85–2.04 Å. There are five inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six CuO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Cu–O bond distances ranging from 1.97–1.99 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Cu–O bond distances ranging from 1.95–2.04 Å. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. In the fourth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Cu–O bond distances ranging from 1.97–2.00 Å. In the fifth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with three BaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Cu–O bond distances ranging from 1.95–2.07 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with fourteen OBa2Sr2CoCu octahedra, edges with four OBa2Sr2CoCu octahedra, and faces with six OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the second O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with four OBa2Sr2Cu2 octahedra, and faces with five OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–65°. In the third O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with sixteen OBaSr3Cu2 octahedra, edges with four OBa2Sr2Cu2 octahedra, and faces with five OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the fourth O site, O is bonded to two Ba, two Sr, and two Co atoms to form distorted OBa2Sr2Co2 octahedra that share corners with sixteen OBaSr3Cu2 octahedra, edges with four OBa2Sr2CoCu octahedra, and faces with four OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fifth O site, O is bonded to one Ba, three Sr, and two Cu atoms to form distorted OBaSr3Cu2 octahedra that share corners with ten OBa2Sr2CoCu octahedra, edges with four OBaSr3CoCu octahedra, and faces with six OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–62°. In the sixth O site, O is bonded to one Ba, three Sr, one Co, and one Cu atom to form distorted OBaSr3CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with two equivalent OBaSr3Cu2 octahedra, and faces with five OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–65°. In the seventh O site, O is bonded to one Ba, three Sr, and two Cu atoms to form distorted OBaSr3Cu2 octahedra that share corners with sixteen OBaSr3Cu2 octahedra, edges with two equivalent OBaSr3Cu2 octahedra, and faces with five OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the eighth O site, O is bonded in a distorted linear geometry to one Ba, three Sr, and two Co atoms. In the ninth O site, O is bonded to four Sr and two Cu atoms to form distorted OSr4Cu2 octahedra that share corners with twelve OBa2Sr2CoCu octahedra and faces with seven OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–60°. In the tenth O site, O is bonded in a distorted linear geometry to four Sr, one Co, and one Cu atom. In the eleventh O site, O is bonded to three Ba, one Sr, and two Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with four OBa3SrCoCu octahedra, and faces with seven OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the twelfth O site, O is bonded to three Ba, one Sr, one Co, and one Cu atom to form distorted OBa3SrCoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with four OBa3SrCu2 octahedra, and faces with six OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–64°. In the thirteenth O site, O is bonded in a distorted linear geometry to four Sr and two Cu atoms. In the fourteenth O site, O is bonded in a distorted linear geometry to four Sr and two Co atoms. In the fifteenth O site, O is bonded to three Ba, one Sr, and two Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with sixteen OBaSr3Cu2 octahedra, edges with four OBa3SrCu2 octahedra, and faces with six OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the sixteenth O site, O is bonded to three Ba, one Sr, and two Co atoms to form distorted OBa3SrCo2 octahedra that share corners with eighteen OBaSr3Cu2 octahedra, edges with four OBa3SrCoCu octahedra, and faces with five OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the seventeenth O site, O is bonded to one Ba, three Sr, and two Cu atoms to form a mixture of distorted face and corner-sharing OBaSr3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 5–62°. In the eighteenth O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with sixteen OBaSr3Cu2 octahedra, edges with four OBa2Sr2CoCu octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–62°. In the nineteenth O site, O is bonded in a distorted linear geometry to one Ba, three Sr, one Co, and one Cu atom. In the twentieth O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with four OBa2Sr2Cu2 octahedra, and faces with six OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the twenty-first O site, O is bonded in a distorted linear geometry to one Ba, three Sr, one Co, and one Cu atom. In the twenty-second O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with four OBa2Sr2Cu2 octahedra, and faces with six OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the twenty-third O site, O is bonded in a distorted linear geometry to one Ba, three Sr, one Co, and one Cu atom. In the twenty-fourth O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with eighteen OBa2Sr2Cu2

36 MATERIALS SCIENCE↗

Materials Data on Ba4Sr4Co3Cu5O24 by Materials Project

Ba4Sr4Co3Cu5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.78–2.87 Å. In the second Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.84–2.87 Å. In the third Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.77–2.85 Å. In the fourth Ba site, Ba is bonded to twelve O atoms to form BaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.78–2.87 Å. There are four inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.83 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.81 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.84 Å. In the fourth Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three CoO6 octahedra, and faces with five CuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.84 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.91–1.98 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.90–1.97 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.83–2.09 Å. There are five inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six CuO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. All Cu–O bond lengths are 1.99 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Cu–O bond distances ranging from 1.96–2.01 Å. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Cu–O bond distances ranging from 1.97–2.03 Å. In the fourth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Cu–O bond distances ranging from 1.97–2.03 Å. In the fifth Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CuO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Cu–O bond distances ranging from 1.97–2.13 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with eight OBa2Sr2CoCu octahedra, edges with four OBa2Sr2CoCu octahedra, and faces with eight OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–63°. In the second O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with six OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the third O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with eighteen OBa2Sr2Cu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with five OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the fourth O site, O is bonded in a distorted linear geometry to two Ba, two Sr, and two Co atoms. In the fifth O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with eight OBa2Sr2CoCu octahedra, edges with four OBa2Sr2CoCu octahedra, and faces with eight OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–62°. In the sixth O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with six OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the seventh O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with eighteen OBa2Sr2Cu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with five OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the eighth O site, O is bonded in a distorted linear geometry to two Ba, two Sr, and two Co atoms. In the ninth O site, O is bonded to one Ba, three Sr, and two Cu atoms to form distorted OBaSr3Cu2 octahedra that share corners with ten OBa2Sr2CoCu octahedra, edges with two equivalent OBaSr3Cu2 octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the tenth O site, O is bonded in a distorted linear geometry to one Ba, three Sr, one Co, and one Cu atom. In the eleventh O site, O is bonded to three Ba, one Sr, and two Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with fourteen OBa2Sr2CoCu octahedra, edges with four OBa3SrCoCu octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the twelfth O site, O is bonded to three Ba, one Sr, one Co, and one Cu atom to form distorted OBa3SrCoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with four OBa3SrCu2 octahedra, and faces with five OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the thirteenth O site, O is bonded to one Ba, three Sr, and two Cu atoms to form distorted OBaSr3Cu2 octahedra that share corners with twelve OBa2Sr2Cu2 octahedra, edges with two equivalent OBaSr3Cu2 octahedra, and faces with six OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the fourteenth O site, O is bonded in a distorted linear geometry to one Ba, three Sr, and two Co atoms. In the fifteenth O site, O is bonded to three Ba, one Sr, and two Cu atoms to form distorted OBa3SrCu2 octahedra that share corners with sixteen OBa2Sr2Cu2 octahedra, edges with four OBa3SrCu2 octahedra, and faces with six OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the sixteenth O site, O is bonded to three Ba, one Sr, and two Co atoms to form distorted OBa3SrCo2 octahedra that share corners with eighteen OBa2Sr2Cu2 octahedra, edges with four OBa3SrCoCu octahedra, and faces with four OBa2Sr2CoCu octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the seventeenth O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with twelve OBa2Sr2Cu2 octahedra, edges with two equivalent OBa2Sr2CoCu octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–62°. In the eighteenth O site, O is bonded to two Ba, two Sr, and two Cu atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with twelve OBa2Sr2Cu2 octahedra, edges with four OBa2Sr2CoCu octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–63°. In the nineteenth O site, O is bonded in a distorted linear geometry to two Ba, two Sr, one Co, and one Cu atom. In the twentieth O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with eighteen OBa2Sr2CoCu octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with five OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 3–62°. In the twenty-first O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with twelve OBa2Sr2CoCu octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the twenty-second O site, O is bonded to two Ba, two Sr, one Co, and one Cu atom to form distorted OBa2Sr2CoCu octahedra that share corners with sixteen OBa2Sr2CoCu octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with seven OBa2Sr2Cu2 octahedra. The corner-shari

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.12–2.34 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.03–2.43 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.02–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.10–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Mn–O bond distances ranging from 1.83–2.01 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.99–2.11 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.92–2.10 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.75–2.23 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.92–2.21 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.92–2.12 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 1.97–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.05–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Li–O bond distances ranging from 1.97–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.10–2.37 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.10–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.04–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Mn–O bond distances ranging from 1.83–2.06 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 2.03–2.10 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Co–O bond distances ranging from 1.81–2.37 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.98–2.12 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Co–O bond distances ranging from 1.94–2.19 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Co–O bond distances ranging from 1.95–2.22 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fourth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–11°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 7–10°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–7°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–9°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.05–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.03–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.08–2.34 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. 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 six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.05–2.34 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.10–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Li–O bond distances ranging from 2.03–2.14 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.85–1.97 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Co–O bond distances ranging from 1.87–2.17 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.91–2.11 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.94–2.09 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.89–2.17 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the second O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the third O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.10–2.39 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 1.99–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.08–2.41 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.00–2.30 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mn–O bond distances ranging from 1.83–2.03 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.92–2.20 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.90–2.22 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.91–2.21 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.74–2.24 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.91–2.22 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 1.99–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.03–2.53 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.07–2.29 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.09–2.15 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Mn–O bond distances ranging from 1.84–2.05 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Co–O bond distances ranging from 1.98–2.13 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Co–O bond distances ranging from 1.80–2.38 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Co–O bond distances ranging from 1.95–2.20 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Co–O bond distances ranging from 1.93–2.19 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Co–O bond distances ranging from 1.95–2.15 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the fourth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–15°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗