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Materials Data on Yb11(Ce2Se11)2 by Materials Project

Yb11(Ce2Se11)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Yb+2.91+ sites. In the first Yb+2.91+ site, Yb+2.91+ is bonded to six Se2- atoms to form YbSe6 octahedra that share corners with three equivalent YbSe6 octahedra, corners with two equivalent YbSe7 pentagonal bipyramids, and edges with four YbSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Yb–Se bond distances ranging from 2.78–2.99 Å. In the second Yb+2.91+ site, Yb+2.91+ is bonded to six Se2- atoms to form YbSe6 octahedra that share corners with three equivalent YbSe6 octahedra, a cornercorner with one YbSe7 pentagonal bipyramid, edges with four equivalent YbSe6 octahedra, and edges with two equivalent YbSe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Yb–Se bond distances ranging from 2.85–3.06 Å. In the third Yb+2.91+ site, Yb+2.91+ is bonded to six Se2- atoms to form a mixture of distorted edge and corner-sharing YbSe6 octahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Yb–Se bond distances ranging from 2.82–3.05 Å. In the fourth Yb+2.91+ site, Yb+2.91+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing YbSe6 octahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Yb–Se bond distances ranging from 2.82–3.09 Å. In the fifth Yb+2.91+ site, Yb+2.91+ is bonded to seven Se2- atoms to form distorted YbSe7 pentagonal bipyramids that share corners with three YbSe6 octahedra, edges with two equivalent YbSe6 octahedra, and edges with four equivalent YbSe7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of Yb–Se bond distances ranging from 2.91–3.06 Å. In the sixth Yb+2.91+ site, Yb+2.91+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing YbSe6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are two shorter (2.82 Å) and four longer (3.01 Å) Yb–Se bond lengths. There are two inequivalent Ce3+ sites. In the first Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Ce–Se bond distances ranging from 2.98–3.13 Å. In the second Ce3+ site, Ce3+ is bonded in a 8-coordinate geometry to eight Se2- atoms. There are a spread of Ce–Se bond distances ranging from 2.85–3.07 Å. There are eleven inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to three Yb+2.91+ and two equivalent Ce3+ atoms to form distorted SeYb3Ce2 square pyramids that share corners with four SeYb3Ce2 trigonal bipyramids, corners with three SeYb3Ce trigonal pyramids, edges with four SeYb3Ce2 square pyramids, edges with two SeYb3Ce2 trigonal bipyramids, and edges with three SeYb3Ce trigonal pyramids. In the second Se2- site, Se2- is bonded to three Yb+2.91+ and two equivalent Ce3+ atoms to form distorted SeYb3Ce2 square pyramids that share corners with two equivalent SeYb3Ce2 square pyramids, corners with two equivalent SeYb2Ce3 trigonal bipyramids, corners with four SeYb3Ce trigonal pyramids, edges with five SeYb3Ce2 square pyramids, and edges with three SeYb3Ce trigonal pyramids. In the third Se2- site, Se2- is bonded to three Yb+2.91+ and one Ce3+ atom to form distorted SeYb3Ce trigonal pyramids that share corners with four SeYb3Ce2 square pyramids, corners with two SeYb3Ce2 trigonal bipyramids, corners with two equivalent SeYb3Ce trigonal pyramids, and edges with three SeYb3Ce2 square pyramids. In the fourth Se2- site, Se2- is bonded to three Yb+2.91+ and one Ce3+ atom to form distorted SeYb3Ce trigonal pyramids that share corners with three SeYb3Ce2 square pyramids, corners with two equivalent SeYb3Ce2 trigonal bipyramids, corners with six SeYb3Ce trigonal pyramids, edges with three SeYb3Ce2 square pyramids, and edges with two equivalent SeYb2Ce3 trigonal bipyramids. In the fifth Se2- site, Se2- is bonded to four Yb+2.91+ atoms to form distorted SeYb4 trigonal pyramids that share corners with five SeYb3Ce2 square pyramids, corners with two equivalent SeYb2Ce3 trigonal bipyramids, corners with seven SeYb3Ce trigonal pyramids, edges with two equivalent SeYb3Ce2 square pyramids, and an edgeedge with one SeYb2Ce3 trigonal bipyramid. In the sixth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Yb+2.91+ atoms. In the seventh Se2- site, Se2- is bonded to three Yb+2.91+ and two equivalent Ce3+ atoms to form distorted SeYb3Ce2 trigonal bipyramids that share corners with two equivalent SeYb3Ce2 square pyramids, corners with two equivalent SeYb2Ce3 trigonal bipyramids, corners with three SeYb3Ce trigonal pyramids, an edgeedge with one SeYb3Ce2 square pyramid, and edges with three SeYb3Ce2 trigonal bipyramids. In the eighth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Yb+2.91+ atoms. In the ninth Se2- site, Se2- is bonded to two equivalent Yb+2.91+ and three Ce3+ atoms to form distorted SeYb2Ce3 trigonal bipyramids that share corners with four SeYb3Ce2 square pyramids, corners with two equivalent SeYb3Ce2 trigonal bipyramids, corners with three SeYb3Ce trigonal pyramids, edges with three SeYb3Ce2 square pyramids, edges with three SeYb3Ce2 trigonal bipyramids, and edges with three SeYb3Ce trigonal pyramids. In the tenth Se2- site, Se2- is bonded to three Yb+2.91+ and two equivalent Ce3+ atoms to form distorted SeYb3Ce2 square pyramids that share corners with four SeYb3Ce2 square pyramids, corners with five SeYb3Ce trigonal pyramids, edges with four SeYb3Ce2 square pyramids, edges with two equivalent SeYb2Ce3 trigonal bipyramids, and edges with two equivalent SeYb4 trigonal pyramids. In the eleventh Se2- site, Se2- is bonded in a 5-coordinate geometry to two equivalent Yb+2.91+ and three Ce3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaCa2TiSi2O8F by Materials Project

NaCa2TiSi2O8F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three CaO6 octahedra, a cornercorner with one SiO3F tetrahedra, corners with two TiO4 tetrahedra, a cornercorner with one SiO3F trigonal pyramid, edges with two equivalent NaO6 octahedra, and edges with two TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 75–76°. There are a spread of Na–O bond distances ranging from 2.27–2.79 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three CaO6 octahedra, corners with two TiO4 tetrahedra, corners with two SiO3F tetrahedra, edges with two equivalent NaO6 octahedra, and edges with two TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 75–76°. There are a spread of Na–O bond distances ranging from 2.29–2.82 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.92 Å. There are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.57 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one TiO4 tetrahedra, a cornercorner with one SiO3F tetrahedra, corners with four SiO3F trigonal pyramids, and edges with two CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.47 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two NaO6 octahedra, a cornercorner with one TiO4 tetrahedra, corners with two equivalent SiO3F tetrahedra, corners with three SiO3F trigonal pyramids, and an edgeedge with one CaO6 octahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Ca–O bond distances ranging from 2.39–2.50 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to six O2- and one F1- atom. There are a spread of Ca–O bond distances ranging from 2.35–2.58 Å. The Ca–F bond length is 2.87 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two NaO6 octahedra, a cornercorner with one TiO4 tetrahedra, corners with four SiO3F tetrahedra, a cornercorner with one SiO3F trigonal pyramid, and edges with three CaO6 octahedra. The corner-sharing octahedral tilt angles are 76°. There are a spread of Ca–O bond distances ranging from 2.34–2.50 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.34–2.56 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two NaO6 octahedra, a cornercorner with one TiO4 tetrahedra, corners with four SiO3F tetrahedra, a cornercorner with one SiO3F trigonal pyramid, and edges with three CaO6 octahedra. The corner-sharing octahedra tilt angles range from 75–76°. There are a spread of Ca–O bond distances ranging from 2.33–2.52 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one TiO4 tetrahedra, corners with five SiO3F trigonal pyramids, and an edgeedge with one CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.47 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with two SiO3F trigonal pyramids. There are a spread of Ti–O bond distances ranging from 1.78–1.96 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share a cornercorner with one CaO6 octahedra, corners with two NaO6 octahedra, corners with two SiO3F tetrahedra, and edges with two NaO6 octahedra. The corner-sharing octahedra tilt angles range from 60–70°. There is two shorter (1.79 Å) and two longer (1.90 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with two NaO6 octahedra, corners with two CaO6 octahedra, a cornercorner with one SiO3F tetrahedra, a cornercorner with one SiO3F trigonal pyramid, and edges with two NaO6 octahedra. The corner-sharing octahedra tilt angles range from 15–67°. There are a spread of Ti–O bond distances ranging from 1.78–1.92 Å. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form distorted TiO4 tetrahedra that share corners with two CaO6 octahedra and corners with two SiO3F trigonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.80–1.92 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F trigonal pyramids that share a cornercorner with one NaO6 octahedra, corners with three CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Si–O bond distances ranging from 1.58–1.62 Å. The Si–F bond length is 1.82 Å. In the second Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F trigonal pyramids that share corners with two equivalent CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F trigonal pyramid. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Si–O bond distances ranging from 1.59–1.61 Å. The Si–F bond length is 1.79 Å. In the third Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F tetrahedra that share a cornercorner with one NaO6 octahedra, corners with four CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Si–O bond distances ranging from 1.59–1.62 Å. The Si–F bond length is 1.81 Å. In the fourth Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F tetrahedra that share a cornercorner with one NaO6 octahedra, corners with five CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F tetrahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Si–O bond distances ranging from 1.59–1.62 Å. The Si–F bond length is 1.80 Å. In the fifth Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F trigonal pyramids that share corners with three CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F trigonal pyramid. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Si–O bond distances ranging from 1.59–1.62 Å. The Si–F bond length is 1.80 Å. In the sixth Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F trigonal pyramids that share corners with three CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Si–O bond distances ranging from 1.58–1.63 Å. The Si–F bond length is 1.84 Å. In the seventh Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F trigonal pyramids that share corners with three CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F trigonal pyramid. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Si–O bond distances ranging from 1.58–1.62 Å. The Si–F bond length is 1.81 Å. In the eighth Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F tetrahedra that share a cornercorner with one NaO6 octahedra, corners with two equivalent CaO6 octahedra, a cornercorner with one TiO4 tetrahedra, and a cornercorner with one SiO3F trigonal pyramid. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Si–O bond distances ranging from 1.59–1.62 Å. The Si–F bond length is 1.81 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+, one Ca2+, and one Ti4+ atom to form distorted corner-sharing ONa2CaTi tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded to two Na1+, one Ca2+, and one Ti4+ atom to form distorted corner-sharing ONa2CaTi tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ti4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ca2+ and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ti4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ca2+, and one Ti4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1

36 MATERIALS SCIENCE↗

Materials Data on Na7Ti16O32 by Materials Project

Na7Ti16O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are three shorter (2.16 Å) and one longer (2.17 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Na–O bond distances ranging from 2.15–2.18 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are three shorter (2.15 Å) and one longer (2.18 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are a spread of Na–O bond distances ranging from 2.15–2.17 Å. There are sixteen inequivalent Ti+3.56+ sites. In the first Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the second Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the third Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the fourth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.05 Å. In the fifth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the sixth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the seventh Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. In the eighth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.06 Å. In the ninth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the tenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.02 Å) and three longer (2.03 Å) Ti–O bond lengths. In the eleventh Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are two shorter (2.01 Å) and four longer (2.03 Å) Ti–O bond lengths. In the twelfth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.07 Å. In the thirteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.06 Å. In the fourteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.04 Å. In the fifteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. In the sixteenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.01–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the third O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fourth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the seventh O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the ninth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the twelfth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing ONaTi3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.56+ atoms. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Ti+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Fe5Ni7S16 by Materials Project

Fe5Ni7S16 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with four FeS6 octahedra and corners with eight NiS6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Fe–S bond distances ranging from 2.10–2.14 Å. In the second Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with two equivalent FeS4 tetrahedra, corners with four NiS4 tetrahedra, an edgeedge with one FeS6 octahedra, and edges with five NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.26–2.28 Å. In the third Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with six NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.26–2.31 Å. In the fourth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with six NiS4 tetrahedra, edges with two equivalent NiS6 octahedra, and edges with four FeS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.27–2.30 Å. In the fifth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with six NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.27–2.29 Å. In the sixth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with six NiS4 tetrahedra, edges with two equivalent NiS6 octahedra, and edges with four FeS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.28–2.30 Å. In the seventh Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with six NiS4 tetrahedra, edges with two FeS6 octahedra, and edges with four NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.26–2.28 Å. In the eighth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with six NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.27–2.30 Å. In the ninth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share a cornercorner with one FeS4 tetrahedra, corners with five NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.26–2.31 Å. In the tenth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share a cornercorner with one FeS4 tetrahedra, corners with five NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Fe–S bond distances ranging from 2.26–2.31 Å. There are fourteen inequivalent Ni+2.43+ sites. In the first Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share corners with three equivalent FeS4 tetrahedra, corners with three equivalent NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.30–2.33 Å. In the second Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with four NiS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. All Ni–S bond lengths are 2.17 Å. In the third Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share corners with two equivalent FeS4 tetrahedra, corners with four NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.29–2.34 Å. In the fourth Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with five NiS6 octahedra and corners with seven FeS6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–S bond distances ranging from 2.17–2.19 Å. In the fifth Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share corners with two equivalent FeS4 tetrahedra, corners with four NiS4 tetrahedra, edges with three FeS6 octahedra, and edges with three NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.29–2.34 Å. In the sixth Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with five NiS6 octahedra and corners with seven FeS6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–S bond distances ranging from 2.17–2.20 Å. In the seventh Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with four NiS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are one shorter (2.16 Å) and three longer (2.17 Å) Ni–S bond lengths. In the eighth Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share corners with six NiS4 tetrahedra and edges with six FeS6 octahedra. There are two shorter (2.30 Å) and four longer (2.31 Å) Ni–S bond lengths. In the ninth Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with four NiS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ni–S bond distances ranging from 2.16–2.18 Å. In the tenth Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share corners with six NiS4 tetrahedra, edges with two equivalent NiS6 octahedra, and edges with four FeS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.29–2.31 Å. In the eleventh Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share corners with six NiS4 tetrahedra, edges with two equivalent NiS6 octahedra, and edges with four FeS6 octahedra. There are four shorter (2.30 Å) and two longer (2.31 Å) Ni–S bond lengths. In the twelfth Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with five NiS6 octahedra and corners with seven FeS6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are one shorter (2.17 Å) and three longer (2.18 Å) Ni–S bond lengths. In the thirteenth Ni+2.43+ site, Ni+2.43+ is bonded to six S2- atoms to form NiS6 octahedra that share a cornercorner with one FeS4 tetrahedra, corners with five NiS4 tetrahedra, an edgeedge with one NiS6 octahedra, and edges with five FeS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.30–2.34 Å. In the fourteenth Ni+2.43+ site, Ni+2.43+ is bonded to four S2- atoms to form NiS4 tetrahedra that share corners with five FeS6 octahedra and corners with seven NiS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ni–S bond distances ranging from 2.17–2.20 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Fe3+ and three Ni+2.43+ atoms. In the second S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted corner-sharing SFeNi3 trigonal pyramids. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the fifth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the ninth S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted SFeNi3 trigonal pyramids that share corners with six SFe2Ni2 trigonal pyramids and an edgeedge with one SFeNi3 trigonal pyramid. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni+2.43+ atom. In the twelfth S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted SFeNi3 trigonal pyramids that share corners with three SFe2Ni2 trigonal pyramids and an edgeedge with one SFeNi3 trigonal pyramid. In the thirteenth S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted SFeNi3 trigonal pyramids that share corners with four SFe2Ni2 trigonal pyramids and edges with two SFeNi3 trigonal pyramids. In the fourteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni+2.43+ atom. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the sixteenth S2- site, S2- is bonded to two Fe3+ and two Ni+2.43+ atoms to form distorted corner-sharing SFe2Ni2 trigonal pyramids. In the seventeenth S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form a mixture of distorted edge and corner-sharing SFeNi3 trigonal pyramids. In the eighteenth S2- site, S2- is bonded to two Fe3+ and two Ni+2.43+ atoms to form a mixture of distorted edge and corner-sharing SFe2Ni2 trigonal pyramids. In the nineteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the twentieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the twenty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the twenty-third S2- site, S2- is bonded to two Fe3+ and two Ni+2.43+ atoms to form a mixture of distorted edge and corner-sharing SFe2Ni2 trigonal pyramids. In the twenty-fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the twenty-fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Fe3+ and three Ni+2.43+ atoms. In the twenty-sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni+2.43+ atom. In the twenty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni+2.43+ atom. In the twenty-eighth S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted SFeNi3 trigonal pyramids that share corners with six SFeNi3 trigonal pyramids and an edgeedge with one SFe2Ni2 trigonal pyramid. In the twenty-ninth S2- site, S2- is bonded to two Fe3+ and two Ni+2.43+ atoms to form a mixture of distorted edge and corner-sharing SFe2Ni2 trigonal pyramids. In the thirtieth S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted SFeNi3 trigonal pyramids that share corners with three SFeNi3 trigonal pyramids and edges with two SFe2Ni2 trigonal pyramids. In the thirty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Ni+2.43+ atoms. In the thirty-second S2- site, S2- is bonded to one Fe3+ and three Ni+2.43+ atoms to form distorted SFeNi3 trigonal pyramids that share corners with three SFeNi3 trigonal pyramids and edges with two SFe2Ni2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li27As10 by Materials Project

Li27As10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–As bond distances ranging from 2.60–2.72 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six As+2.70- atoms. There are a spread of Li–As bond distances ranging from 2.86–3.14 Å. In the third Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the fourth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with five LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.85–3.12 Å. In the fifth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Li–As bond distances ranging from 2.69–2.71 Å. In the sixth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with six LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–As bond distances ranging from 2.58–2.72 Å. In the seventh Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the eighth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Li–As bond distances ranging from 2.69–2.71 Å. In the ninth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Li–As bond distances ranging from 2.64–2.71 Å. In the tenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–As bond distances ranging from 2.60–2.70 Å. In the eleventh Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with seven LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.91–3.12 Å. In the twelfth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Li–As bond distances ranging from 2.59–2.69 Å. In the thirteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with nine LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and a faceface with one LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Li–As bond distances ranging from 2.68–2.72 Å. In the fourteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Li–As bond distances ranging from 2.57–2.73 Å. In the fifteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Li–As bond distances ranging from 2.58–2.67 Å. In the sixteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–61°. There are a spread of Li–As bond distances ranging from 2.61–2.74 Å. In the seventeenth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with seven LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.98–3.09 Å. In the eighteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are one shorter (2.66 Å) and three longer (2.71 Å) Li–As bond lengths. In the nineteenth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Li–As bond distances ranging from 2.62–2.70 Å. In the twentieth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with four LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with six LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.92–3.12 Å. In the twenty-first Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with five LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Li–As bond distances ranging from 2.58–2.73 Å. In the twenty-second Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with seven LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Li–As bond distances ranging from 2.59–2.75 Å. In the twenty-third Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with two LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are two shorter (2.60 Å) and two longer (2.67 Å) Li–As bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form distorted LiAs6 octahedra that share corners with two equivalent LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with eight LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Li–As bond distances ranging from 2.84–3.10 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to six As+2.70- atoms to form LiAs6 octahedra that share corners with six LiAs6 octahedra, corners with twenty-four LiAs4 tetrahedra, edges with five LiAs6 octahedra, and faces with eight LiAs4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–As bond distances ranging from 2.97–3.10 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with eight LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 49–61°. There are a spread of Li–As bond distances ranging from 2.60–2.73 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four As+2.70- atoms to form LiAs4 tetrahedra that share corners with five LiAs6 octahedra, corners with sixteen LiAs4 tetrahedra, edges with six LiAs4 tetrahedra, and faces with three LiAs6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Li–As bond distances ranging from 2.59–2.74 Å. There are ten inequivalent As+2.70- sites. In the first As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the second As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the third As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the fourth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the fifth As+2.70- site, As+2.70- is bonded in a 9-coordinate geometry to thirteen Li1+ atoms. In the sixth As+2.70- site, As+2.70- is bonded in a distorted body-centered cubic geometry to twelve Li1+ atoms. In the seventh As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms. In the eighth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to thirteen Li1+ atoms. In the ninth As+2.70- site, As+2.70- is bonded in a distorted body-centered cubic geometry to twelve Li1+ atoms. In the tenth As+2.70- site, As+2.70- is bonded in a 8-coordinate geometry to twelve Li1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cs3Bi2Br9 by Materials Project

Cs3Bi2Br9 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded to twelve Br1- atoms to form CsBr12 cuboctahedra that share corners with twelve CsBr12 cuboctahedra, faces with six CsBr12 cuboctahedra, and faces with five equivalent BiBr6 octahedra. There are a spread of Cs–Br bond distances ranging from 4.01–4.20 Å. In the second Cs1+ site, Cs1+ is bonded to twelve Br1- atoms to form CsBr12 cuboctahedra that share corners with twelve CsBr12 cuboctahedra, faces with six equivalent CsBr12 cuboctahedra, and faces with six equivalent BiBr6 octahedra. There are a spread of Cs–Br bond distances ranging from 4.07–4.23 Å. Bi3+ is bonded to six Br1- atoms to form BiBr6 octahedra that share corners with three equivalent BiBr6 octahedra and faces with eight CsBr12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Bi–Br bond distances ranging from 2.75–3.05 Å. There are seven inequivalent Br1- sites. In the first Br1- site, Br1- is bonded to four Cs1+ and two equivalent Bi3+ atoms to form a mixture of distorted face and corner-sharing BrCs4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. Both Br–Cs bond lengths are 4.15 Å. In the second Br1- site, Br1- is bonded in a distorted single-bond geometry to four Cs1+ and one Bi3+ atom. In the third Br1- site, Br1- is bonded in a distorted single-bond geometry to four Cs1+ and one Bi3+ atom. In the fourth Br1- site, Br1- is bonded to four Cs1+ and two equivalent Bi3+ atoms to form a mixture of distorted face and corner-sharing BrCs4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fifth Br1- site, Br1- is bonded in a distorted single-bond geometry to four Cs1+ and one Bi3+ atom. In the sixth Br1- site, Br1- is bonded to four Cs1+ and two equivalent Bi3+ atoms to form a mixture of distorted face and corner-sharing BrCs4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the seventh Br1- site, Br1- is bonded to four Cs1+ and two equivalent Bi3+ atoms to form a mixture of distorted face and corner-sharing BrCs4Bi2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. Both Br–Cs bond lengths are 4.10 Å. Both Br–Bi bond lengths are 3.02 Å.

36 MATERIALS SCIENCE↗

Materials Data on Na8Ga42O67 by Materials Project

Na8Ga42O67 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Na–O bond distances ranging from 2.12–2.24 Å. In the second Na site, Na is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.89 Å. In the third Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.87 Å. In the fourth Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Na–O bond distances ranging from 2.18–2.23 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.05–2.51 Å. In the sixth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.23–2.89 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.97 Å. In the eighth Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.15–2.19 Å. There are forty-two inequivalent Ga sites. In the first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.86–2.34 Å. In the second Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one GaO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.12 Å. In the third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.21 Å. In the fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.21 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–66°. There are a spread of Ga–O bond distances ranging from 1.87–1.98 Å. In the sixth Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.84 Å. In the seventh Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.85 Å. In the eighth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.05 Å. In the ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the tenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.14 Å. In the eleventh Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.91 Å) and one longer (1.93 Å) Ga–O bond length. In the thirteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.12 Å. In the fourteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.88–2.22 Å. In the fifteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with two equivalent GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.13 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Ga–O bond distances ranging from 1.82–1.90 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the eighteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.14 Å. In the nineteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the twentieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.23 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.11 Å. In the twenty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ga–O bond distances ranging from 1.89–1.92 Å. In the twenty-third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Ga–O bond distances ranging from 1.81–1.95 Å. In the twenty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.17 Å. In the twenty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.13 Å. In the twenty-sixth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the twenty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Ga–O bond distances ranging from 1.83–1.94 Å. In the twenty-eighth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.81–1.91 Å. In the twenty-ninth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.42 Å. In the thirtieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.26 Å. In the thirty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.93–2.31 Å. In the thirty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ga–O bond distances ranging from 1.89–2.01 Å. In the thirty-third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.23 Å. In the thirty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.21 Å. In the thirty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the thirty-sixth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Ga–O bond distances ranging from 1.81–1.90 Å. In the thirty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Ga–O bond distances ranging from 1.78–1.96 Å. In the thirty-eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–62°. There is two shorter (1.90 Å) and two longer (1.91 Å) Ga–O bond length. In the thirty-ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.11 Å. In the fortieth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.33 Å. In the forty-first Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from

36 MATERIALS SCIENCE↗

Materials Data on Mg9(In13S24)2 by Materials Project

Mg9(In13S24)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.61 Å. In the second Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the third Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are three shorter (2.60 Å) and three longer (2.61 Å) Mg–S bond lengths. In the fourth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the fifth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the sixth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.62 Å. In the seventh Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.60–2.62 Å. In the eighth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.61 Å. In the ninth Mg site, Mg is bonded to six S atoms to form MgS6 octahedra that share corners with six InS4 tetrahedra, edges with two MgS6 octahedra, and edges with four equivalent InS6 octahedra. There are a spread of Mg–S bond distances ranging from 2.59–2.62 Å. There are twenty inequivalent In sites. In the first In site, In is bonded to six S atoms to form InS6 octahedra that share corners with three equivalent InS4 tetrahedra and edges with six InS6 octahedra. There are a spread of In–S bond distances ranging from 2.55–2.79 Å. In the second In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with five MgS6 octahedra and corners with seven InS6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of In–S bond distances ranging from 2.49–2.54 Å. In the third In site, In is bonded to six S atoms to form InS6 octahedra that share corners with four InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.58–2.71 Å. In the fourth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the fifth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.62–2.66 Å. In the sixth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with four InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.58–2.70 Å. In the seventh In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with four MgS6 octahedra and corners with eight InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are three shorter (2.52 Å) and one longer (2.57 Å) In–S bond lengths. In the eighth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the ninth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.63–2.66 Å. In the tenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the eleventh In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.63–2.66 Å. In the twelfth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of In–S bond distances ranging from 2.50–2.55 Å. In the thirteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of In–S bond distances ranging from 2.50–2.56 Å. In the fourteenth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with six InS4 tetrahedra, edges with two equivalent InS6 octahedra, and edges with four MgS6 octahedra. There are a spread of In–S bond distances ranging from 2.63–2.66 Å. In the fifteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with four MgS6 octahedra and corners with eight InS6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of In–S bond distances ranging from 2.49–2.52 Å. In the sixteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with six MgS6 octahedra and corners with six InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of In–S bond distances ranging from 2.50–2.56 Å. In the seventeenth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with five InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.56–2.70 Å. In the eighteenth In site, In is bonded to four S atoms to form InS4 tetrahedra that share corners with five MgS6 octahedra and corners with seven InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of In–S bond distances ranging from 2.50–2.58 Å. In the nineteenth In site, In is bonded to six S atoms to form InS6 octahedra that share corners with five InS4 tetrahedra, an edgeedge with one MgS6 octahedra, and edges with five InS6 octahedra. There are a spread of In–S bond distances ranging from 2.55–2.69 Å. In the twentieth In site, In is bonded to four S atoms to form corner-sharing InS4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are one shorter (2.48 Å) and three longer (2.53 Å) In–S bond lengths. There are thirty-six inequivalent S sites. In the first S site, S is bonded in a distorted T-shaped geometry to three In atoms. In the second S site, S is bonded in a rectangular see-saw-like geometry to four In atoms. In the third S site, S is bonded in a distorted T-shaped geometry to three In atoms. In the fourth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Mg and three In atoms. In the fifth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the sixth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the seventh S site, S is bonded to four In atoms to form distorted corner-sharing SIn4 trigonal pyramids. In the eighth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the ninth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the tenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the eleventh S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the twelfth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the thirteenth S site, S is bonded in a distorted trigonal pyramidal geometry to one Mg and three In atoms. In the fourteenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the fifteenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the sixteenth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the seventeenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the eighteenth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the nineteenth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twentieth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-first S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-second S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the twenty-third S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-fourth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the twenty-fifth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-sixth S site, S is bonded in a distorted trigonal pyramidal geometry to one Mg and three In atoms. In the twenty-seventh S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-eighth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the twenty-ninth S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the thirtieth S site, S is bonded in a rectangular see-saw-like geometry to two Mg and two In atoms. In the thirty-first S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the thirty-second S site, S is bonded in a distorted T-shaped geometry to three In atoms. In the thirty-third S site, S is bonded in a rectangular see-saw-like geometry to one Mg and three In atoms. In the thirty-fourth S site, S is bonded to four In atoms to form a mixture of distorted corner and edge-sharing SIn4 tetrahedra. In the thirty-fifth S site, S is bonded to four In atoms to form a mixture of distorted corner and edge-sharing SIn4 tetrahedra. In the thirty-sixth S site, S is bonded to four In atoms to form distorted edge-sharing SIn4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li7(Ga3Te5)8 by Materials Project

Li7(Ga3Te5)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share corners with two equivalent LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 15–27°. There are a spread of Li–Te bond distances ranging from 3.00–3.48 Å. In the second Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three Te+1.98- atoms. There are a spread of Li–Te bond distances ranging from 2.67–2.70 Å. In the third Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three Te+1.98- atoms. There are a spread of Li–Te bond distances ranging from 2.68–2.71 Å. In the fourth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three Te+1.98- atoms. There are a spread of Li–Te bond distances ranging from 2.77–2.81 Å. In the fifth Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Li–Te bond distances ranging from 2.99–3.46 Å. In the sixth Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share corners with three LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 15–28°. There are a spread of Li–Te bond distances ranging from 3.00–3.48 Å. In the seventh Li1+ site, Li1+ is bonded to six Te+1.98- atoms to form distorted LiTe6 octahedra that share corners with two LiTe6 octahedra, corners with four GaTe4 tetrahedra, and edges with four GaTe4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–28°. There are a spread of Li–Te bond distances ranging from 3.01–3.51 Å. There are twenty-four inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the second Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.64–2.72 Å. In the third Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the fourth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the fifth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the sixth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the seventh Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.70 Å. In the eighth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the ninth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the tenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.72 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.63–2.72 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the thirteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–Te bond distances ranging from 2.65–2.71 Å. In the fourteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.65–2.72 Å. In the fifteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ga–Te bond distances ranging from 2.62–2.71 Å. In the sixteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ga–Te bond distances ranging from 2.63–2.70 Å. In the seventeenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ga–Te bond distances ranging from 2.62–2.70 Å. In the eighteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.62–2.72 Å. In the nineteenth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. There are a spread of Ga–Te bond distances ranging from 2.61–2.70 Å. In the twentieth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with four GaTe4 tetrahedra, an edgeedge with one LiTe6 octahedra, and an edgeedge with one GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Ga–Te bond distances ranging from 2.63–2.70 Å. In the twenty-first Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra and corners with six GaTe4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Ga–Te bond distances ranging from 2.64–2.72 Å. In the twenty-second Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.63–2.71 Å. In the twenty-third Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share corners with six GaTe4 tetrahedra and an edgeedge with one LiTe6 octahedra. There are a spread of Ga–Te bond distances ranging from 2.64–2.72 Å. In the twenty-fourth Ga3+ site, Ga3+ is bonded to four Te+1.98- atoms to form GaTe4 tetrahedra that share a cornercorner with one LiTe6 octahedra, corners with six GaTe4 tetrahedra, and an edgeedge with one LiTe6 octahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Ga–Te bond distances ranging from 2.65–2.71 Å. There are forty inequivalent Te+1.98- sites. In the first Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the second Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the third Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the fourth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the fifth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the sixth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the seventh Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the eighth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to three Ga3+ atoms. In the ninth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the tenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the eleventh Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the twelfth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to one Li1+ and two Ga3+ atoms. In the thirteenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the fourteenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the fifteenth Te+1.98- site, Te+1.98- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ga3+ atoms. In the sixteenth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the seventeenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the eighteenth Te+1.98- site, Te+1.98- is bonded in a 3-coordinate geometry to three Ga3+ atoms. In the nineteenth Te+1.98- site, Te+1.98- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ga3+ atoms. In the twentieth Te+1.98- site, Te+1.98- is bonded in a 4-coordinate geometry to two Li1+ and two Ga3+ atoms. In th

36 MATERIALS SCIENCE↗

Materials Data on Fe21Ni9O40 by Materials Project

Fe21Ni9O40 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Fe+2.95+ sites. In the first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the second Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the third Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fourth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the fifth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the sixth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the seventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the eighth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are one shorter (2.04 Å) and five longer (2.06 Å) Fe–O bond lengths. In the ninth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the tenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the eleventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.07 Å. In the twelfth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the thirteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fourteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fifteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the sixteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.06 Å. In the seventeenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the eighteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are two shorter (2.04 Å) and two longer (2.05 Å) Fe–O bond lengths. In the nineteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twentieth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twenty-first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. There are nine inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are two shorter (2.00 Å) and two longer (2.01 Å) Ni–O bond lengths. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Ni–O bond distances ranging from 2.00–2.02 Å. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the fifth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.03 Å. In the sixth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. In the seventh Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the eighth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the ninth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the second O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the third O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the ninth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Fe+2.95+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded to four Fe+2.95+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe

36 MATERIALS SCIENCE↗

Materials Data on Li2Ni4P4O15 by Materials Project

Li2Ni4P4O15 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.78 Å. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. There are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two NiO6 octahedra, corners with four PO4 tetrahedra, edges with three NiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–O bond distances ranging from 1.95–2.15 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two NiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–61°. There are a spread of Ni–O bond distances ranging from 1.97–2.15 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with six PO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are two shorter (2.06 Å) and four longer (2.10 Å) Ni–O bond lengths. In the fourth Ni2+ site, Ni2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is two shorter (1.98 Å) and two longer (1.99 Å) Ni–O bond length. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with six PO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ni–O bond distances ranging from 2.03–2.11 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four NiO6 octahedra, corners with two equivalent PO4 tetrahedra, and edges with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 2.03–2.10 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and an edgeedge with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–58°. There are a spread of P–O bond distances ranging from 1.49–1.66 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ni2+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ni2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two P5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ni2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mo4P5O24 by Materials Project

Li3Mo4P5O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are two shorter (2.05 Å) and one longer (2.13 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.11 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.66 Å. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.68 Å. In the fifth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.10 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.15 Å. There are eight inequivalent Mo5+ sites. In the first Mo5+ site, Mo5+ is bonded to six O2- atoms to form distorted MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.73–2.14 Å. In the second Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.73–2.13 Å. In the third Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.71–2.14 Å. In the fourth Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.70–2.14 Å. In the fifth Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.73–2.13 Å. In the sixth Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.70–2.14 Å. In the seventh Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.73–2.14 Å. In the eighth Mo5+ site, Mo5+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five PO4 tetrahedra. There are a spread of Mo–O bond distances ranging from 1.71–2.14 Å. There are ten inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 18–60°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 33–51°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 18–60°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–60°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 33–51°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 20–29°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 30–51°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–29°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 30–51°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MoO6 octahedra. The corner-sharing octahedra tilt angles range from 20–60°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a single-bond geometry to one Mo5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mo5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one Li1+ and one Mo5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mo5+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mo5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mo5+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mo5+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a single-bond geometry to one Mo5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Mo5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mo5+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Mo5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mo5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo5+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Li1+ and one Mo5+ atom. In the forty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Mo5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo5+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mo5+, and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Mo5+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo5+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Zn(FeO2)2 by Materials Project

ZnFe2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 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 fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.10 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.08 Å. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the eleventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is two shorter (1.92 Å) and two longer (1.95 Å) Fe–O bond length. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 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 three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.04 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.90–1.96 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 two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.02 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Fe–O bond distances ranging from 1.88–1.99 Å. In the twentieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. There are ten inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Zn–O bond distances ranging from 1.96–2.02 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Zn–O bond distances ranging from 1.97–1.99 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Zn–O bond distances ranging from 1.97–2.03 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.13 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.14 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.18 Å. In the seventh Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.14 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.17 Å. In the ninth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.01–2.20 Å. In the tenth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.02–2.19 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twent

36 MATERIALS SCIENCE↗

Materials Data on NaNiP2HO7 by Materials Project

NaNiP2HO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the second Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.78 Å. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.52 Å. There are a spread of Na–O bond distances ranging from 2.34–2.58 Å. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.35–2.59 Å. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.53 Å. There are a spread of Na–O bond distances ranging from 2.35–2.58 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to one H1+ and six O2- atoms. The Na–H bond length is 2.52 Å. There are a spread of Na–O bond distances ranging from 2.35–2.57 Å. There are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.20 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.19 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.17 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.17 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are six inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.16 Å) and one longer (1.25 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.16 Å) and one longer (1.25 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.18 Å) and one longer (1.23 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.21 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.19 Å) and one longer (1.21 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.17 Å) and one longer (1.23 Å) H–O bond length. There are forty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Ni2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ni2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Ni2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ni2+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Ni2+, one P5+, and one H1+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one P5+, and one H1+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ni2+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one P5+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6Ti8Ni(PO5)8 by Materials Project

Li6Ti8Ni(PO5)8 crystallizes in the triclinic P-1 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 distorted LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.12–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. 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 LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Ti–O bond distances ranging from 1.74–2.25 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with four PO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of Ti–O bond distances ranging from 1.73–2.23 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with two TiO6 octahedra, corners with four PO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Ti–O bond distances ranging from 1.74–2.23 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with four PO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of Ti–O bond distances ranging from 1.73–2.24 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four PO4 tetrahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ni–O bond distances ranging from 2.03–2.13 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two LiO6 octahedra, and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–56°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two LiO6 octahedra, and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Ni2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Ni2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Al2O3 by Materials Project

Al2O3 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is two shorter (1.77 Å) and two longer (1.85 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.77–1.87 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.05 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.76–1.85 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.03 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–1.98 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.77–1.86 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.95 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Al–O bond distances ranging from 1.76–1.84 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.06 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.06 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.04 Å. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.77–1.86 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the eighteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is two shorter (1.77 Å) and two longer (1.85 Å) Al–O bond length. In the nineteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–1.99 Å. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–1.99 Å. In the twenty-first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Al–O bond distances ranging from 1.76–1.86 Å. In the twenty-second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Al–O bond distances ranging from 1.76–1.86 Å. In the twenty-third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.94 Å. In the twenty-fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Al–O bond distances ranging from 1.76–1.84 Å. In the twenty-fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.05 Å. In the twenty-sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.04 Å. In the twenty-seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–1.98 Å. In the twenty-eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.93 Å. In the twenty-ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.95 Å. In the thirtieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.98 Å. In the thirty-first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.98 Å. In the thirty-second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.98 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the third O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eleventh O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fourteenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventeenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the nineteenth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-second O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-first O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the fortieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the forty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the forty-second O2- site, O2- is bonded in

36 MATERIALS SCIENCE↗

Materials Data on Ti19O30 by Materials Project

Ti19O30 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ti+3.16+ sites. In the first Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–61°. There are a spread of Ti–O bond distances ranging from 1.92–2.15 Å. In the third Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the fourth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are three shorter (2.02 Å) and three longer (2.08 Å) Ti–O bond lengths. In the fifth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the sixth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.11 Å. In the seventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Ti–O bond distances ranging from 1.99–2.09 Å. In the eighth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. In the ninth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the tenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the eleventh Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the thirteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the fifteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 2.00–2.11 Å. In the sixteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the seventeenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–60°. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the eighteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the nineteenth Ti+3.16+ site, Ti+3.16+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of Ti–O bond distances ranging from 1.93–2.20 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.16+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.16+ atoms. In the sixteenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.16+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.16+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.16+ atoms. In the thirtieth O2- site, O2- is bonded to four Ti+3.16+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Sn2N2O by Materials Project

Sn2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Sn–N bond distances ranging from 2.07–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.14–2.39 Å. In the second Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Sn–N bond distances ranging from 2.17–2.25 Å. The Sn–O bond length is 2.26 Å. In the third Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.09–2.16 Å. There are one shorter (2.21 Å) and two longer (2.30 Å) Sn–O bond lengths. In the fourth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are one shorter (2.10 Å) and two longer (2.17 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.14–2.28 Å. In the fifth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Sn–N bond distances ranging from 2.10–2.16 Å. There are a spread of Sn–O bond distances ranging from 2.12–2.36 Å. In the sixth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Sn–N bond distances ranging from 2.12–2.30 Å. The Sn–O bond length is 2.31 Å. In the seventh Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Sn–N bond distances ranging from 2.15–2.24 Å. The Sn–O bond length is 2.27 Å. In the eighth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Sn–N bond distances ranging from 2.13–2.20 Å. There are a spread of Sn–O bond distances ranging from 2.16–2.23 Å. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Sn–N bond distances ranging from 2.14–2.20 Å. There are one shorter (2.20 Å) and one longer (2.25 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Sn–N bond distances ranging from 2.11–2.20 Å. There are one shorter (2.27 Å) and one longer (2.31 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.20 Å. There are one shorter (2.19 Å) and one longer (2.28 Å) Sn–O bond lengths. In the twelfth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.22 Å. The Sn–O bond length is 2.44 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Sn–N bond distances ranging from 2.16–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.12–2.28 Å. In the fourteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Sn–N bond distances ranging from 2.16–2.20 Å. There are one shorter (2.18 Å) and one longer (2.37 Å) Sn–O bond lengths. In the fifteenth Sn4+ site, Sn4+ is bonded to six N3- atoms to form distorted SnN6 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Sn–N bond distances ranging from 2.13–2.31 Å. In the sixteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.19 Å) and one longer (2.29 Å) Sn–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share a cornercorner with one NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with six OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the second N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with eight NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with two NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with three OSn4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with three OSn4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share a cornercorner with one NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with six OSn4 trigonal pyramids, and edges with three NSn4 tetrahedra. In the seventh N3- site, N3- is bonded in a 4-coordinate geometry to four Sn4+ atoms. In the eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, and edges with three NSn4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, and edges with two OSn4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 trigonal pyramids that share a cornercorner with one NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with six OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with eight NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with two NSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the second O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Sn4+ atoms. In the fourth O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the fifth O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyrami

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