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Materials Data on Na13Ca7S12Cl(O24F)2 by Materials Project

Na13Ca7S12Cl(O24F)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na sites. In the first Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with four CaO6F pentagonal bipyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.60 Å. In the second Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.29–2.73 Å. The Na–Cl bond length is 2.65 Å. In the third Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with four CaO6F pentagonal bipyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.61 Å. In the fourth Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.32–2.73 Å. The Na–Cl bond length is 2.66 Å. In the fifth Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.92 Å. In the sixth Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.98 Å. In the seventh Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.94 Å. In the eighth Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.45–2.93 Å. In the ninth Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with four CaO6F pentagonal bipyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.60 Å. In the tenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.62 Å. In the eleventh Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.56–2.81 Å. In the twelfth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.59 Å. In the thirteenth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are three shorter (2.50 Å) and three longer (2.58 Å) Na–O bond lengths. There are seven inequivalent Ca sites. In the first Ca site, Ca is bonded to six O and one F atom to form distorted CaO6F pentagonal bipyramids that share corners with two CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.39–2.59 Å. The Ca–F bond length is 2.37 Å. In the second Ca site, Ca is bonded to six O and one F atom to form distorted CaO6F pentagonal bipyramids that share corners with two CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.41–2.62 Å. The Ca–F bond length is 2.35 Å. In the third Ca site, Ca is bonded to six O and one Cl atom to form distorted CaClO6 pentagonal bipyramids that share corners with four CaO6F pentagonal bipyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.59 Å. The Ca–Cl bond length is 2.63 Å. In the fourth Ca site, Ca is bonded to six O and one F atom to form distorted CaO6F pentagonal bipyramids that share corners with three CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.37–2.61 Å. The Ca–F bond length is 2.36 Å. In the fifth Ca site, Ca is bonded to six O and one F atom to form distorted CaO6F pentagonal bipyramids that share corners with three CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.39–2.64 Å. The Ca–F bond length is 2.35 Å. In the sixth Ca site, Ca is bonded to six O and one F atom to form distorted CaO6F pentagonal bipyramids that share corners with three CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.37–2.57 Å. The Ca–F bond length is 2.36 Å. In the seventh Ca site, Ca is bonded to six O and one F atom to form distorted CaO6F pentagonal bipyramids that share corners with three CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.39–2.60 Å. The Ca–F bond length is 2.35 Å. There are twelve inequivalent S sites. In the first S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, a cornercorner with one NaO6 pentagonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. All S–O bond lengths are 1.49 Å. In the second S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, a cornercorner with one NaO6 pentagonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. All S–O bond lengths are 1.49 Å. In the third S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, a cornercorner with one NaO6 pentagonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. All S–O bond lengths are 1.49 Å. In the fourth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, a cornercorner with one NaO6 pentagonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. All S–O bond lengths are 1.49 Å. In the fifth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the sixth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There is three shorter (1.49 Å) and one longer (1.51 Å) S–O bond length. In the seventh S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids, a cornercorner with one NaO6 pentagonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. There is three shorter (1.49 Å) and one longer (1.51 Å) S–O bond length. In the eighth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids, a cornercorner with one NaO6 pentagonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the ninth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, and an edgeedge with one NaO6 pentagonal pyramid. There is two shorter (1.49 Å) and two longer (1.50 Å) S–O bond length. In the tenth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with three CaClO6 pentagonal bipyramids. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the eleventh S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids, corners with two NaO6 pentagonal pyramids, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the twelfth S site, S is bonded to four O atoms to form SO4 tetrahedra that share corners with two CaO6F pentagonal bipyramids and an edgeedge with one CaClO6 pentagonal bipyramid. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the second O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the third O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the fourth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the fifth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the sixth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the seventh O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the eighth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the ninth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the tenth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the eleventh O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the thirteenth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the fourteenth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the fifteenth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the sixteenth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the seventeenth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the eighteenth O site, O is bonded in a distorted tetrahedral geometry to two Na, one Ca, and one S atom. In the nineteenth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the twentieth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the twenty-first O site, O is bonded in a 1-coordinate geometry to one Na, one Ca, and one S atom. In the twenty-second O site, O is bonded in a 1-coordinate geometry to one Na, one Ca, and one S atom. In the twenty-third O site, O is bonded in a 1-coordinate geometry to one Na, one Ca, and one S atom. In the twenty-fourth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the twenty-fifth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the twenty-sixth O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the twenty-seventh O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the twenty-eighth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the twenty-ninth O site, O is bonded to three Na and one S atom to form distorted ONa3S tetrahedra that share corners with six ONa2CaS tetrahedra and edges with two ONa3S tetrahedra. In the thirtieth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-first O site, O is bonded to two Na, one Ca, and one S atom to form distorted ONa2CaS tetrahedra that share corners with three ONa3S tetrahedra and edges with two ONa2CaS tetrahedra. In the thirty-second O site, O is bonded to two Na, one Ca, and one S atom to form distorted ONa2CaS tetrahedra that share corners with three ONa3S tetrahedra and edges with two ONa2CaS tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on K9Mg3Nb5(PO5)8 by Materials Project

K9Mg3Nb5(PO5)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.55–3.15 Å. In the second K1+ site, K1+ is bonded in a 2-coordinate geometry to two O2- atoms. There are one shorter (2.58 Å) and one longer (2.80 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.63–3.22 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.35 Å. In the fifth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.44–3.22 Å. In the sixth K1+ site, K1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.48–3.12 Å. In the seventh K1+ site, K1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.38 Å. In the eighth K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.54–3.11 Å. In the ninth K1+ site, K1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of K–O bond distances ranging from 2.52–2.83 Å. There are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 1.95–2.01 Å. In the second Mg2+ site, Mg2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mg–O bond distances ranging from 1.93–2.28 Å. In the third Mg2+ site, Mg2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mg–O bond distances ranging from 1.99–2.38 Å. There are five inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to five O2- atoms to form corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.84–2.26 Å. In the second Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.81–2.20 Å. In the third Nb5+ site, Nb5+ is bonded to five O2- atoms to form distorted corner-sharing NbO5 trigonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.81–2.37 Å. In the fourth Nb5+ site, Nb5+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Nb–O bond distances ranging from 1.78–2.55 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.79–2.41 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.50–1.54 Å. In the second P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.50–1.73 Å. In the third P5+ site, P5+ is bonded in a distorted bent 120 degrees geometry to two O2- atoms. There is one shorter (1.53 Å) and one longer (1.54 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.48–1.52 Å. In the fifth P5+ site, P5+ is bonded in a bent 120 degrees geometry to two O2- atoms. There is one shorter (1.49 Å) and one longer (1.52 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.61–1.71 Å. In the seventh P5+ site, P5+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.48 Å) and two longer (1.50 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded in a distorted water-like geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.51–2.34 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and two Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one Nb5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two K1+ and one Mg2+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+, one Nb5+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Nb5+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Nb5+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Nb5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mg2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Mg2+, and one Nb5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+ and one O2- atom. The O–O bond length is 1.24 Å. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mg2+, and one Nb5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mg2+, and two P5+ atoms. In the twentieth O2- site, O2- is bonded in a single-bond geometry to one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two K1+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted water-like geometry to one K1+ and one Mg2+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one Nb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one O2- atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Mg2+, and one Nb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, one Mg2+, and one O2- atom. The O–O bond length is 1.52 Å. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two K1+, one Mg2+, one Nb5+, and one O2- atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Mg2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to two K1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one K1+, one Nb5+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mg2+, and two P5+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Nb5+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Nb5+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one K1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one K1+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mg2+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mg2+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted T-shaped geometry to one K1+, one Mg2+, and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li14Mn22Cr3Cu3O56 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on 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 Ca4Y2Al7Cr2SiO24 by Materials Project

Ca4Y2Cr2Al7SiO24 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.55 Å. In the second Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.56 Å. In the third Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.55 Å. In the fourth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.55 Å. In the fifth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.57 Å. In the sixth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.35–2.60 Å. In the seventh Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.58 Å. In the eighth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.56 Å. There are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.56 Å. In the second Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.27–2.54 Å. In the third Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.53 Å. In the fourth Y3+ site, Y3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.52 Å. There are four inequivalent Cr+4.50+ sites. In the first Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two SiO4 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.05 Å. In the second Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.86–1.95 Å. In the third Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.87–1.95 Å. In the fourth Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.89–2.03 Å. There are fourteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Al–O bond distances ranging from 1.78–1.81 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There is one shorter (1.76 Å) and three longer (1.79 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two SiO4 tetrahedra and corners with four AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–2.02 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Al–O bond distances ranging from 1.76–1.81 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Al–O bond distances ranging from 1.75–1.82 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.91–2.01 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. 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 AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Al–O bond distances ranging from 1.77–1.82 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Al–O bond distances ranging from 1.77–1.80 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–2.04 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Al–O bond distances ranging from 1.77–1.79 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five AlO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.90–2.03 Å. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two CrO6 octahedra and corners with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Si–O bond distances ranging from 1.65–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 44–45°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+, one Cr+4.50+, and one Al3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the thirtieth O2- site, O2- is bonded to two Ca2+, one Cr+4.50+, and one Al3+ atom to form distorted corner-sharing OCa2AlCr trigonal pyramids. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Cr+4.50+, and one Al3+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Cr+4.50+, and one Al3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Al3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinat

36 MATERIALS SCIENCE↗

Materials Data on Mg21FeSi12(HO16)3 by Materials Project

Mg21FeSi12(HO16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 1.97–2.46 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.10–2.22 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 1.94–2.09 Å. In the fourth Mg site, Mg is bonded to five O atoms to form distorted MgO5 trigonal bipyramids that share corners with two SiO4 tetrahedra, edges with two MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.93–2.35 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with four SiO4 tetrahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–16°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the sixth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with three SiO4 tetrahedra, corners with two equivalent SiO5 trigonal bipyramids, an edgeedge with one FeO5 square pyramid, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.03–2.31 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with four SiO4 tetrahedra, and edges with six MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–16°. There are a spread of Mg–O bond distances ranging from 2.05–2.46 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with five SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.11 Å. In the ninth Mg site, Mg is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 2.03–2.50 Å. In the tenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.38 Å. In the eleventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with five SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.14 Å. In the twelfth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with four SiO4 tetrahedra, and edges with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–17°. There are a spread of Mg–O bond distances ranging from 2.05–2.17 Å. In the thirteenth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 1.97–2.32 Å. In the fourteenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, edges with four MgO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.13–2.28 Å. In the fifteenth Mg site, Mg is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Mg–O bond distances ranging from 1.97–2.03 Å. In the sixteenth Mg site, Mg is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 1.97–2.51 Å. In the seventeenth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with four SiO4 tetrahedra, and edges with six MgO6 octahedra. The corner-sharing octahedra tilt angles range from 13–17°. There are a spread of Mg–O bond distances ranging from 2.03–2.30 Å. In the eighteenth Mg site, Mg is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 1.98–2.26 Å. In the nineteenth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with six SiO4 tetrahedra and an edgeedge with one FeO5 square pyramid. There are a spread of Mg–O bond distances ranging from 2.02–2.19 Å. In the twentieth Mg site, Mg is bonded to five O atoms to form distorted MgO5 trigonal bipyramids that share corners with two equivalent SiO4 tetrahedra, a cornercorner with one SiO5 trigonal bipyramid, and an edgeedge with one MgO5 square pyramid. There are a spread of Mg–O bond distances ranging from 2.05–2.19 Å. In the twenty-first Mg site, Mg is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 1.96–2.66 Å. Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with three SiO4 tetrahedra, corners with two equivalent SiO5 trigonal bipyramids, and edges with two MgO5 square pyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with seven MgO6 octahedra, corners with two SiO4 tetrahedra, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Si–O bond distances ranging from 1.64–1.69 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with ten MgO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Si–O bond distances ranging from 1.65–1.75 Å. In the third Si site, Si is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Si–O bond distances ranging from 1.72–2.31 Å. In the fourth Si site, Si is bonded to five O atoms to form distorted SiO5 trigonal bipyramids that share a cornercorner with one MgO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.70–1.98 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with seven MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–79°. There are a spread of Si–O bond distances ranging from 1.63–1.81 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra and corners with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Si–O bond distances ranging from 1.64–1.70 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent FeO5 square pyramids, corners with three MgO5 square pyramids, and a cornercorner with one SiO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent MgO5 square pyramids and corners with two equivalent MgO5 trigonal bipyramids. There are a spread of Si–O bond distances ranging from 1.64–1.73 Å. In the tenth Si site, Si is bonded to five O atoms to form SiO5 trigonal bipyramids that share corners with two equivalent MgO5 square pyramids, corners with two equivalent FeO5 square pyramids, and a cornercorner with one SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.68–1.80 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four MgO6 octahedra, a cornercorner with one MgO5 square pyramid, a cornercorner with one FeO5 square pyramid, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with eight MgO6 octahedra, a cornercorner with one MgO5 square pyramid, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Si–O bond distances ranging from 1.61–1.74 Å. There are three inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.01 Å. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the third H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share a cornercorner with one OMg3Si tetrahedra and edges with two equivalent OMg5 square pyramids. In the second O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the third O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fourth O site, O is bonded in a 5-coordinate geometry to three Mg and two Si atoms. In the fifth O site, O is bonded in a distorted T-shaped geometry to one Mg and two Si atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the seventh O site, O is bonded in a trigonal planar geometry to one Mg and two Si atoms. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the ninth O site, O is bonded to three Mg and one Si atom to form distorted OMg3Si tetrahedra that share a cornercorner with one OMg3FeSi trigonal bipyramid and a cornercorner with one OMg4 trigonal pyramid. In the tenth O site, O is bonded in a distorted T-shaped geometry to two Mg and one Si atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to two Mg and one Si atom. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to two Mg and one Si atom. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg and two Si atoms. In the sixteenth O site, O is bonded to four Mg atoms to form distorted OMg4 trigonal pyramids that share a cornercorner with one OMg3Si tetrahedra, a cornercorner with one OMg5 trigonal bipyramid, and an edgeedge with one OMg5 trigonal bipyramid. In the seventeenth O site, O is bonded in a water-like geometry to two Si atoms. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one Mg, one Si, and one H atom. In the nineteenth O site, O is bonded in a 4-coordinate geometry to three Mg and one Si atom. In the twentieth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one Mg, one Fe, and one Si atom. In the twenty-second O site, O is bonded in a trigonal non-coplanar geometry to two Mg and one Si atom. In the twenty-third O site, O is bonded in a T-shaped geometry to two Mg and one

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti4Co(AsO5)4 by Materials Project

Li2Ti4Co(AsO5)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AsO4 tetrahedra, edges with two LiO6 octahedra, and faces with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.01–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and faces with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and edges with two CoO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.03–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and faces with two TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. There are eight 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 AsO4 tetrahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Ti–O bond distances ranging from 1.74–2.27 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–61°. There are a spread of Ti–O bond distances ranging from 1.77–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.72–2.31 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.70–2.35 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Ti–O bond distances ranging from 1.75–2.22 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.74–2.25 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.73–2.31 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Co–O bond distances ranging from 2.06–2.18 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Co–O bond distances ranging from 2.07–2.17 Å. There are eight inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the second As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of As–O bond distances ranging from 1.69–1.73 Å. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the fourth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of As–O bond distances ranging from 1.69–1.75 Å. In the fifth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the sixth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–52°. There is two shorter (1.71 Å) and two longer (1.72 Å) As–O bond length. In the seventh As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two TiO6 octahedra, and corners with three LiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of As–O bond distances ranging from 1.71–1.73 Å. In the eighth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of As–O bond distances ranging from 1.70–1.75 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one As5+ 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 one Li1+, two Ti4+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one As5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ti4+, and one Co2+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Co2+, and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Ti4+ and one Co2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Ti4+ and one Co2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Ti4+, and one As5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Co2+, and one As5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Sn3(PO4)4 by Materials Project

Li3Sn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.55 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one SnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one SnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.64 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one SnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one SnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.92–2.32 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one SnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one SnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.92–2.46 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.53 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.52 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.51 Å. There are nine inequivalent Sn3+ sites. In the first Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one LiO5 square pyramid and corners with six PO4 tetrahedra. There are a spread of Sn–O bond distances ranging from 2.22–2.64 Å. In the second Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.12–2.40 Å. In the third Sn3+ site, Sn3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Sn–O bond distances ranging from 2.22–2.76 Å. In the fourth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Sn–O bond distances ranging from 2.02–2.15 Å. In the fifth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and a cornercorner with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.08–2.13 Å. In the sixth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Sn–O bond distances ranging from 2.05–2.23 Å. In the seventh Sn3+ site, Sn3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sn–O bond distances ranging from 2.20–2.60 Å. In the eighth Sn3+ site, Sn3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sn–O bond distances ranging from 2.22–2.70 Å. In the ninth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share a cornercorner with one LiO5 square pyramid and corners with six PO4 tetrahedra. There are a spread of Sn–O bond distances ranging from 2.06–2.23 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 SnO6 octahedra and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 25–48°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–62°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 29–46°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 18–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra. The corner-sharing octahedra tilt angles range from 33–50°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 21–58°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–52°. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SnO6 octahedra and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Sn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Sn3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Sn3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Sn3+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Sn3+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Sn3+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Sn3+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one

36 MATERIALS SCIENCE↗

Materials Data on Dy5Bi11O24 by Materials Project

Dy5Bi11O24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Dy–O bond distances ranging from 2.28–2.35 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Dy–O bond distances ranging from 2.29–2.38 Å. In the fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are four shorter (2.31 Å) and two longer (2.32 Å) Dy–O bond lengths. In the sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Dy–O bond distances ranging from 2.30–2.35 Å. In the seventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are three shorter (2.31 Å) and three longer (2.32 Å) Dy–O bond lengths. In the eighth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the ninth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Dy–O bond distances ranging from 2.31–2.34 Å. In the tenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Dy–O bond distances ranging from 2.30–2.33 Å. There are twenty-two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.49 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.52 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Bi–O bond distances ranging from 2.34–2.48 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.49 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.36–2.46 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the ninth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the tenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.48 Å. In the eleventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.50 Å. In the twelfth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Bi–O bond distances ranging from 2.34–2.51 Å. In the thirteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.32–2.51 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.35–2.48 Å. In the sixteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.49 Å. In the eighteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the nineteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.31–2.51 Å. In the twentieth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.51 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the twenty-second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Dy3+ and one Bi3+ atom to form distorted ODy3Bi trigonal pyramids that share corners with two ODy2Bi2 tetrahedra, corners with ten ODyBi3 trigonal pyramids, an edgeedge with one ODy3Bi tetrahedra, and edges with three ODy2Bi2 trigonal pyramids. In the second O2- site, O2- is bonded to three Dy3+ and one Bi3+ atom to form distorted ODy3Bi tetrahedra that share a

36 MATERIALS SCIENCE↗

Materials Data on Y13Ho19O48 by Materials Project

Ho19Y13O48 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the third Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fourth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fifth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the sixth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the seventh Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eighth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the ninth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the tenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eleventh Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the twelfth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the thirteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fourteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the fifteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the sixteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.35 Å. In the seventeenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the eighteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. In the nineteenth Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.25–2.34 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five HoO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five HoO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are five shorter (2.30 Å) and one longer (2.31 Å) Y–O bond lengths. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four HoO6 octahedra, edges with two YO6 octahedra, and edges with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OYHo3 trigonal pyramids. In the second O2- site, O2

36 MATERIALS SCIENCE↗

Materials Data on Li3Sn2(PO4)3 by Materials Project

Li3Sn2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.60 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two SnO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.91–2.49 Å. In the third Li1+ site, Li1+ is bonded in a bent 150 degrees geometry to two O2- atoms. Both Li–O bond lengths are 1.88 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two SnO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.91–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one SnO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one SnO6 octahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Li–O bond distances ranging from 1.94–2.50 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.61 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one SnO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one SnO6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Li–O bond distances ranging from 1.94–2.53 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two SnO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.91–2.50 Å. In the ninth Li1+ site, Li1+ is bonded in a bent 150 degrees geometry to two O2- atoms. There is one shorter (1.88 Å) and one longer (1.89 Å) Li–O bond length. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two SnO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.91–2.46 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one SnO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one SnO6 octahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Li–O bond distances ranging from 1.94–2.51 Å. In the twelfth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.76 Å. There are eight inequivalent Sn3+ sites. In the first Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one PO4 tetrahedra. There are a spread of Sn–O bond distances ranging from 2.06–2.16 Å. In the second Sn3+ site, Sn3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Sn–O bond distances ranging from 2.14–2.63 Å. In the third Sn3+ site, Sn3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Sn–O bond distances ranging from 2.14–2.63 Å. In the fourth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.05–2.16 Å. In the fifth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.05–2.16 Å. In the sixth Sn3+ site, Sn3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Sn–O bond distances ranging from 2.14–2.64 Å. In the seventh Sn3+ site, Sn3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Sn–O bond distances ranging from 2.14–2.63 Å. In the eighth Sn3+ site, Sn3+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with four PO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Sn–O bond distances ranging from 2.05–2.16 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one SnO6 octahedra. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra, corners with two LiO5 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one SnO6 octahedra. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one SnO6 octahedra. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two SnO6 octahedra, corners with two LiO5 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one SnO6 octahedra. 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 two SnO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Sn3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Sn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sn3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sn3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to one Sn3+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sn3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Nb3Tl3O10 by Materials Project

Nb3Tl3O10 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 33–44°. There are a spread of Nb–O bond distances ranging from 1.98–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 33–44°. There are a spread of Nb–O bond distances ranging from 1.99–2.06 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two equivalent TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of Nb–O bond distances ranging from 1.99–2.07 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two equivalent TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of Nb–O bond distances ranging from 1.99–2.04 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 35–44°. There are a spread of Nb–O bond distances ranging from 2.00–2.05 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 34–44°. There are a spread of Nb–O bond distances ranging from 1.97–2.06 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 32–45°. There are a spread of Nb–O bond distances ranging from 1.99–2.05 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 32–45°. There are a spread of Nb–O bond distances ranging from 1.98–2.06 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two equivalent TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of Nb–O bond distances ranging from 1.99–2.04 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two equivalent TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of Nb–O bond distances ranging from 1.99–2.04 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 34–43°. There are two shorter (2.01 Å) and four longer (2.02 Å) Nb–O bond lengths. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, edges with two TlO8 hexagonal bipyramids, and edges with four TlO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of Nb–O bond distances ranging from 1.97–2.06 Å. There are twelve inequivalent Tl+1.67+ sites. In the first Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.63–2.91 Å. In the second Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.62–2.91 Å. In the third Tl+1.67+ site, Tl+1.67+ is bonded to eight O2- atoms to form distorted TlO8 hexagonal bipyramids that share edges with two equivalent TlO8 hexagonal bipyramids, edges with four TlO7 hexagonal pyramids, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.18–2.75 Å. In the fourth Tl+1.67+ site, Tl+1.67+ is bonded to eight O2- atoms to form distorted TlO8 hexagonal bipyramids that share edges with two equivalent TlO8 hexagonal bipyramids, edges with four TlO7 hexagonal pyramids, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.18–2.77 Å. In the fifth Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.62–2.91 Å. In the sixth Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.65–2.90 Å. In the seventh Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.61–2.90 Å. In the eighth Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.65–2.93 Å. In the ninth Tl+1.67+ site, Tl+1.67+ is bonded to eight O2- atoms to form distorted TlO8 hexagonal bipyramids that share edges with two equivalent TlO8 hexagonal bipyramids, edges with four TlO7 hexagonal pyramids, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.18–2.75 Å. In the tenth Tl+1.67+ site, Tl+1.67+ is bonded to eight O2- atoms to form distorted TlO8 hexagonal bipyramids that share edges with two equivalent TlO8 hexagonal bipyramids, edges with four TlO7 hexagonal pyramids, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.17–2.76 Å. In the eleventh Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.63–2.93 Å. In the twelfth Tl+1.67+ site, Tl+1.67+ is bonded to seven O2- atoms to form TlO7 hexagonal pyramids that share corners with three TlO7 hexagonal pyramids, edges with two TlO8 hexagonal bipyramids, an edgeedge with one TlO7 hexagonal pyramid, and edges with six NbO6 octahedra. There are a spread of Tl–O bond distances ranging from 2.62–2.91 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the second O2- site, O2- is bonded to four Tl+1.67+ atoms to form distorted corner-sharing OTl4 tetrahedra. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the thirteenth O2- site, O2- is bonded to four Tl+1.67+ atoms to form distorted corner-sharing OTl4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-fifth O2- site, O2- is bonded to four Tl+1.67+ atoms to form distorted corner-sharing OTl4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb5+ and two Tl+1.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the thirty-first O2- site, O2- is bonded to four Tl+1.67+ atoms to form distorted corner-sharing OTl4 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and two Tl+1.67+ atoms. In the

36 MATERIALS SCIENCE↗

Materials Data on KLi2Sb(PO4)2 by Materials Project

KLi2Sb(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with six SbO6 octahedra, edges with two KO12 cuboctahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of K–O bond distances ranging from 2.98–3.29 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form distorted KO12 cuboctahedra that share corners with six SbO6 octahedra, edges with three KO12 cuboctahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of K–O bond distances ranging from 2.94–3.30 Å. In the third K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of K–O bond distances ranging from 2.82–3.35 Å. In the fourth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.87–3.22 Å. In the fifth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with six SbO6 octahedra, edges with three KO12 cuboctahedra, and edges with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of K–O bond distances ranging from 2.95–3.27 Å. In the sixth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.84–3.24 Å. There are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.14 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.11 Å. In the fourth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.02 Å. In the fifth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.19 Å. In the sixth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.10 Å. In the seventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.13 Å. In the eighth Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.93 Å) and two longer (1.98 Å) Li–O bond length. In the ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.13 Å. In the tenth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.07 Å. In the eleventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.12 Å. In the twelfth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.05 Å. There are six inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with three KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.15–2.54 Å. In the second Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with four KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.29–2.37 Å. In the third Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with three KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.20–2.53 Å. In the fourth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with two KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.24–2.39 Å. In the fifth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with five KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.30–2.35 Å. In the sixth Sb3+ site, Sb3+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share a cornercorner with one KO12 cuboctahedra and corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.14–2.54 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 SbO6 octahedra and edges with three KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 42–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and edges with two KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 43–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–39°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to three K1+, one Li1+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, two Li1+, one Sb3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, two Li1+, one Sb3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one K1+, one Sb3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Li1+, one Sb3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Ca19(Cu12O23)2 by Materials Project

Ca19(Cu12O23)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ca sites. In the first Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.38 Å. In the second Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.86 Å. In the third Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.60 Å. In the fourth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.43 Å. In the fifth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.40 Å. In the sixth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.49 Å. In the seventh Ca site, Ca is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.95 Å. In the eighth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.64 Å. In the ninth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.47 Å. In the tenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.44 Å. In the eleventh Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.65 Å. In the twelfth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.64 Å. In the thirteenth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.44 Å. In the fourteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.41 Å. In the fifteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.44 Å. In the sixteenth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.64 Å. In the seventeenth Ca site, Ca is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.97 Å. In the eighteenth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.50 Å. In the nineteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.38 Å. There are twenty-four inequivalent Cu sites. In the first Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.02 Å. In the second Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.02 Å. In the third Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.88 Å. In the fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.02 Å. In the fifth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.00 Å. In the sixth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.92 Å. In the seventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.88 Å. In the eighth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.89–1.96 Å. In the ninth Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.85–2.06 Å. In the tenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.90 Å. In the eleventh Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.98 Å. In the twelfth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is three shorter (1.91 Å) and one longer (1.92 Å) Cu–O bond length. In the thirteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.10 Å. In the fourteenth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.00 Å. In the fifteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–1.98 Å. In the sixteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is two shorter (1.89 Å) and two longer (1.90 Å) Cu–O bond length. In the seventeenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.90 Å. In the eighteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is three shorter (1.90 Å) and one longer (1.91 Å) Cu–O bond length. In the nineteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.94 Å. In the twentieth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.97–2.01 Å. In the twenty-first Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.05 Å. In the twenty-second Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the twenty-third Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–1.94 Å. In the twenty-fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.01 Å. There are forty-six inequivalent O sites. In the first O site, O is bonded to two Ca and two Cu atoms to form OCa2Cu2 tetrahedra that share a cornercorner with one OCa3Cu2 square pyramid, a cornercorner with one OCa2Cu2 tetrahedra, corners with two equivalent OCa3Cu2 trigonal bipyramids, and an edgeedge with one OCa3Cu2 square pyramid. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Cu atoms. In the third O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the fifth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 square pyramids. In the sixth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 trigonal bipyramids that share corners with four OCa3Cu2 square pyramids, a cornercorner with one OCa2Cu2 tetrahedra, an edgeedge with one OCa3Cu2 square pyramid, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the seventh O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the eighth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the ninth O site, O is bonded in a 4-coordinate geometry to two Ca and two Cu atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to two Ca and two Cu atoms. In the eleventh O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to three Ca and two Cu atoms. In the thirteenth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the fourteenth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 trigonal bipyramids that share a cornercorner with one OCa3Cu2 square pyramid, corners with two equivalent OCa2Cu2 tetrahedra, and edges with two OCa3Cu2 square pyramids. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the sixteenth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 trigonal bipyramids. In the seventeenth O site, O is bonded to three Ca and two Cu atoms to form OCa3Cu2 square pyramids that share corners with three OCa3Cu2 trigonal bipyramids, edges with two OCa3Cu2 square pyramids, an edgeedge with one OCa2Cu2 tetrahedra, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the eighteenth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the nineteenth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with four OCa3Cu2 square pyramids, corners with two equivalent OCa2Cu2 tetrahedra, and edges with three OCa3Cu2 square pyramids. In the twentieth O site, O is bonded to two Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa2Cu2 tetrahedra. In the twenty-first O site, O is bonded to two Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa2Cu2 tetrahedra. In the twenty-second O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-third O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-fourth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the twenty-fifth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-sixth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share a cornercorner with one OCa3Cu2 square pyramid, a cornercorner with one OCa3Cu2 trigonal bipyramid, an edgeedge with one OCa3Cu2 square pyramid, an edgeedge with one OCa2Cu2 tetrahedra, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the twenty-seventh O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with three OCa3Cu2 square pyramids, an edgeedge with one OCa3Cu2 square pyramid, an edgeedge with one OCa2Cu2 tetrahedra, and edges with two OCa3Cu2 trigonal bipyramids. In the twenty-eighth O site, O is bonded to three Ca and two Cu atoms to form OCa3Cu2 square pyramids that share corners with three OCa3Cu2 square pyramids, corners with two OCa2Cu2 tetrahedra, corners with two equivalent OCa3Cu2 trigonal bipyramids, and edges with three OCa3Cu2 square pyramids. In the twenty-ninth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 trigonal bipyramids. In the thirtieth O site, O is bonded in a 4-coordinate geometry to three Ca and two Cu atoms. In the thirty-first O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with four OCa3Cu2 square pyramids, edges with two OCa3Cu2 square pyramids,

36 MATERIALS SCIENCE↗

Materials Data on MgTi23O40 by Materials Project

MgTi23O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. There are twenty-three inequivalent Ti+3.39+ sites. In the first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the third Ti+3.39+ site, Ti+3.39+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the fourth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.16 Å. In the sixth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.21 Å. In the seventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the eighth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.24 Å. In the ninth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.20 Å. In the tenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the eleventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twelfth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. In the seventeenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eighteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.24 Å. In the nineteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the twentieth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the twenty-first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twenty-second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. In the twenty-third Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.39+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-ninth O

36 MATERIALS SCIENCE↗

Materials Data on LiAg2F5 by Materials Project

LiAg2F5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share a cornercorner with one LiF4 trigonal pyramid and an edgeedge with one AgF6 octahedra. There are a spread of Li–F bond distances ranging from 1.86–1.98 Å. In the second Li1+ site, Li1+ is bonded to four F1- atoms to form distorted LiF4 trigonal pyramids that share a cornercorner with one LiF4 tetrahedra and an edgeedge with one AgF6 octahedra. There are a spread of Li–F bond distances ranging from 1.89–2.09 Å. In the third Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 trigonal pyramids that share a cornercorner with one AgF6 octahedra. The corner-sharing octahedral tilt angles are 73°. There is two shorter (1.89 Å) and two longer (1.93 Å) Li–F bond length. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five F1- atoms. There are a spread of Li–F bond distances ranging from 1.90–2.62 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five F1- atoms. There are a spread of Li–F bond distances ranging from 1.91–2.61 Å. In the sixth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 trigonal pyramids that share a cornercorner with one AgF6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Li–F bond distances ranging from 1.89–1.93 Å. In the seventh Li1+ site, Li1+ is bonded to four F1- atoms to form distorted LiF4 trigonal pyramids that share a cornercorner with one LiF4 tetrahedra and an edgeedge with one AgF6 octahedra. There are a spread of Li–F bond distances ranging from 1.89–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share a cornercorner with one LiF4 trigonal pyramid and an edgeedge with one AgF6 octahedra. There are a spread of Li–F bond distances ranging from 1.86–1.99 Å. There are sixteen inequivalent Ag2+ sites. In the first Ag2+ site, Ag2+ is bonded in a square co-planar geometry to four F1- atoms. There are a spread of Ag–F bond distances ranging from 1.99–2.04 Å. In the second Ag2+ site, Ag2+ is bonded in a 4-coordinate geometry to four F1- atoms. There are a spread of Ag–F bond distances ranging from 2.19–2.28 Å. In the third Ag2+ site, Ag2+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Ag–F bond distances ranging from 2.16–2.73 Å. In the fourth Ag2+ site, Ag2+ is bonded in a distorted square co-planar geometry to four F1- atoms. There are two shorter (2.08 Å) and two longer (2.10 Å) Ag–F bond lengths. In the fifth Ag2+ site, Ag2+ is bonded to six F1- atoms to form distorted AgF6 octahedra that share a cornercorner with one LiF4 trigonal pyramid, an edgeedge with one LiF4 tetrahedra, and an edgeedge with one LiF4 trigonal pyramid. There are a spread of Ag–F bond distances ranging from 2.17–2.55 Å. In the sixth Ag2+ site, Ag2+ is bonded in a 5-coordinate geometry to five F1- atoms. There are a spread of Ag–F bond distances ranging from 2.15–2.58 Å. In the seventh Ag2+ site, Ag2+ is bonded in a rectangular see-saw-like geometry to four F1- atoms. There are a spread of Ag–F bond distances ranging from 1.99–2.15 Å. In the eighth Ag2+ site, Ag2+ is bonded in a distorted rectangular see-saw-like geometry to five F1- atoms. There are a spread of Ag–F bond distances ranging from 2.07–2.82 Å. In the ninth Ag2+ site, Ag2+ is bonded in a distorted rectangular see-saw-like geometry to five F1- atoms. There are a spread of Ag–F bond distances ranging from 2.07–2.82 Å. In the tenth Ag2+ site, Ag2+ is bonded in a rectangular see-saw-like geometry to four F1- atoms. There are a spread of Ag–F bond distances ranging from 2.01–2.17 Å. In the eleventh Ag2+ site, Ag2+ is bonded in a 5-coordinate geometry to five F1- atoms. There are a spread of Ag–F bond distances ranging from 2.15–2.59 Å. In the twelfth Ag2+ site, Ag2+ is bonded to six F1- atoms to form distorted AgF6 octahedra that share a cornercorner with one LiF4 trigonal pyramid, an edgeedge with one LiF4 tetrahedra, and an edgeedge with one LiF4 trigonal pyramid. There are a spread of Ag–F bond distances ranging from 2.17–2.56 Å. In the thirteenth Ag2+ site, Ag2+ is bonded in a 4-coordinate geometry to four F1- atoms. There are two shorter (2.20 Å) and two longer (2.31 Å) Ag–F bond lengths. In the fourteenth Ag2+ site, Ag2+ is bonded in a distorted square co-planar geometry to six F1- atoms. There are a spread of Ag–F bond distances ranging from 2.04–2.77 Å. In the fifteenth Ag2+ site, Ag2+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Ag–F bond distances ranging from 2.17–2.73 Å. In the sixteenth Ag2+ site, Ag2+ is bonded in a square co-planar geometry to four F1- atoms. There are a spread of Ag–F bond distances ranging from 1.98–2.05 Å. There are forty inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ag2+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the third F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and two Ag2+ atoms. In the fourth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Ag2+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the sixth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ag2+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to two Ag2+ atoms. In the eighth F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Ag2+ atoms. In the ninth F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two Ag2+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted single-bond geometry to two Ag2+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to one Li1+ and two Ag2+ atoms. In the fifteenth F1- site, F1- is bonded in a 5-coordinate geometry to two Li1+ and two Ag2+ atoms. In the sixteenth F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and two Ag2+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ag2+ atoms. In the eighteenth F1- site, F1- is bonded in a single-bond geometry to one Ag2+ atom. In the nineteenth F1- site, F1- is bonded in an L-shaped geometry to one Li1+ and one Ag2+ atom. In the twentieth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the twenty-first F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the twenty-second F1- site, F1- is bonded in an L-shaped geometry to one Li1+ and one Ag2+ atom. In the twenty-third F1- site, F1- is bonded in a single-bond geometry to one Ag2+ atom. In the twenty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and two Ag2+ atoms. In the twenty-fifth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Ag2+ atoms. In the twenty-sixth F1- site, F1- is bonded in a 5-coordinate geometry to two Li1+ and two Ag2+ atoms. In the twenty-seventh F1- site, F1- is bonded in a distorted bent 120 degrees geometry to one Li1+ and two Ag2+ atoms. In the twenty-eighth F1- site, F1- is bonded in a distorted single-bond geometry to two Ag2+ atoms. In the twenty-ninth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirtieth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirty-first F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirty-second F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirty-third F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Ag2+ atoms. In the thirty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to two Ag2+ atoms. In the thirty-fifth F1- site, F1- is bonded in a bent 120 degrees geometry to two Ag2+ atoms. In the thirty-sixth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirty-seventh F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two Ag2+ atoms. In the thirty-eighth F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and two Ag2+ atoms. In the thirty-ninth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two Ag2+ atoms. In the fortieth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ag2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Li4Ti19O44 by Materials Project

Li4Ba4Ti19O44 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.44 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with five TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–49°. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with nine TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 47–71°. There are a spread of Li–O bond distances ranging from 1.88–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.24 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–47°. There are a spread of Ba–O bond distances ranging from 2.78–3.07 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–54°. There are a spread of Ba–O bond distances ranging from 2.78–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent LiO6 octahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–55°. There are a spread of Ba–O bond distances ranging from 2.73–3.25 Å. There are nineteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.82–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Ti–O bond distances ranging from 1.85–2.23 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with two TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–54°. There are a spread of Ti–O bond distances ranging from 1.81–2.21 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ti–O bond distances ranging from 1.87–2.12 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of Ti–O bond distances ranging from 1.77–2.15 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 10–19°. There are a spread of Ti–O bond distances ranging from 1.82–2.23 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–18°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.16 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.24 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, edges with two equivalent LiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.08 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–57°. There are a spread of Ti–O bond distances ranging from 1.79–2.18 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.88–2.15 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Ba2+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometr

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.59 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.16–2.29 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.63 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.21–2.30 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.54 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.59 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.58 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.20–2.28 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.61 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.62 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.17 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–48°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a disto

36 MATERIALS SCIENCE↗