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Materials Data on Ba6Ti7(Sb3O14)3 by Materials Project

Ba6Ti7(Sb3O14)3 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. 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 2.81–3.23 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.84–2.86 Å. In the third Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.24 Å. In the fourth 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 2.81–3.21 Å. There are five inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–42°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three TiO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 18–42°. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with three SbO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 18–43°. There are a spread of Ti–O bond distances ranging from 1.82–2.21 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 17–42°. There are a spread of Ti–O bond distances ranging from 1.82–2.22 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one SbO6 octahedra. The corner-sharing octahedra tilt angles range from 17–43°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. There are five inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–47°. There are a spread of Sb–O bond distances ranging from 2.00–2.06 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–49°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the third Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three TiO6 octahedra and corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–47°. There are a spread of Sb–O bond distances ranging from 2.01–2.03 Å. In the fourth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two TiO6 octahedra, corners with three SbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of Sb–O bond distances ranging from 1.99–2.07 Å. In the fifth Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four SbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–47°. There are a spread of Sb–O bond distances ranging from 2.00–2.07 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two equivalent Sb5+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+ and two Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb5+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two equivalent Ti+3.86+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two equivalent Sb5+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Sb5+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+ and two Sb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti+3.86+, and one Sb5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb5+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, one Ti+3.86+, and two Sb5+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Sb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, one Ti+3.86+, and one Sb5+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Sb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+, one Ti+3.86+, and one Sb5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti+3.86+, and one Sb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+, one Ti+3.86+, and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr2B8Ru7 by Materials Project

Sr2Ru7B8 crystallizes in the tetragonal P4_2/m space group. The structure is three-dimensional. Sr2+ is bonded in a 11-coordinate geometry to one Sr2+ and ten B+2.25- atoms. The Sr–Sr bond length is 3.32 Å. There are a spread of Sr–B bond distances ranging from 3.14–3.38 Å. There are three inequivalent Ru2+ sites. In the first Ru2+ site, Ru2+ is bonded to six B+2.25- atoms to form RuB6 octahedra that share corners with four RuB6 octahedra, a cornercorner with one RuB4 trigonal pyramid, edges with three RuB6 octahedra, an edgeedge with one RuB4 trigonal pyramid, and faces with four RuB6 octahedra. The corner-sharing octahedra tilt angles range from 42–45°. There are a spread of Ru–B bond distances ranging from 2.14–2.36 Å. In the second Ru2+ site, Ru2+ is bonded to six B+2.25- atoms to form RuB6 octahedra that share corners with four equivalent RuB6 octahedra, corners with two equivalent RuB4 trigonal pyramids, edges with six RuB6 octahedra, and faces with two equivalent RuB6 octahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of Ru–B bond distances ranging from 2.15–2.26 Å. In the third Ru2+ site, Ru2+ is bonded to four equivalent B+2.25- atoms to form a mixture of distorted corner and edge-sharing RuB4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 38–42°. All Ru–B bond lengths are 2.08 Å. There are three inequivalent B+2.25- sites. In the first B+2.25- site, B+2.25- is bonded in a 7-coordinate geometry to two equivalent Sr2+, four Ru2+, and three B+2.25- atoms. There is two shorter (1.79 Å) and one longer (1.81 Å) B–B bond length. In the second B+2.25- site, B+2.25- is bonded in a 6-coordinate geometry to three equivalent Sr2+, five Ru2+, and one B+2.25- atom. In the third B+2.25- site, B+2.25- is bonded in a 7-coordinate geometry to two equivalent Sr2+, six Ru2+, and one B+2.25- atom. The B–B bond length is 1.85 Å.

36 MATERIALS SCIENCE↗

Materials Data on Re8Pb8O27 by Materials Project

Re8Pb8O27 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are sixteen inequivalent Re+4.75+ sites. In the first Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 41°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the second Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.99 Å) and four longer (2.00 Å) Re–O bond length. In the third Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–42°. All Re–O bond lengths are 2.00 Å. In the fourth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Re–O bond distances ranging from 1.99–2.01 Å. In the fifth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–42°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the sixth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the seventh Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–43°. There are three shorter (2.00 Å) and three longer (2.01 Å) Re–O bond lengths. In the eighth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra, edges with two equivalent PbO8 hexagonal bipyramids, and edges with four PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Re–O bond distances ranging from 1.95–2.03 Å. In the ninth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Re–O bond distances ranging from 1.97–1.99 Å. In the tenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–39°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the eleventh Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is three shorter (1.98 Å) and three longer (1.99 Å) Re–O bond length. In the twelfth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is four shorter (1.98 Å) and two longer (1.99 Å) Re–O bond length. In the thirteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–40°. There is one shorter (1.97 Å) and five longer (1.99 Å) Re–O bond length. In the fourteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is three shorter (1.98 Å) and three longer (1.99 Å) Re–O bond length. In the fifteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–39°. There is three shorter (1.98 Å) and three longer (2.00 Å) Re–O bond length. In the sixteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra, edges with four PbO8 hexagonal bipyramids, and edges with two equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Re–O bond distances ranging from 1.95–2.02 Å. There are sixteen inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, an edgeedge with one PbO8 hexagonal bipyramid, edges with two equivalent PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.23–2.72 Å. In the second Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.71 Å. In the third Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.31–2.70 Å. In the fourth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.71 Å. In the fifth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are one shorter (2.33 Å) and six longer (2.70 Å) Pb–O bond lengths. In the sixth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO8 hexagonal bipyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.08–2.75 Å. In the seventh Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.32–2.72 Å. In the eighth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with five PbO8 hexagonal bipyramids, an edgeedge with one PbO7 hexagonal pyramid, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.27–2.79 Å. In the ninth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.70 Å. In the tenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.25–2.73 Å. In the eleventh Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the twelfth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.28–2.72 Å. In the thirteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the fourteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.28–2.77 Å. In the fifteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the sixteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with three equivalent PbO8 hexagonal bipyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.18–2.73 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb2+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the seventh O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the thirteenth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the sixteenth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on CsMg4Al9(SiO4)9 by Materials Project

CsMg4Al9(SiO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Cs1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Cs–O bond distances ranging from 3.45–3.69 Å. There are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.19 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.29 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with three AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.30 Å. There are nine inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra and edges with two MgO6 octahedra. There is three shorter (1.77 Å) and one longer (1.78 Å) Al–O bond length. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one AlO4 tetrahedra, corners with three SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.80 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There is one shorter (1.74 Å) and three longer (1.75 Å) Al–O bond length. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Al–O bond distances ranging from 1.73–1.75 Å. There are nine inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There is one shorter (1.59 Å) and three longer (1.66 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is one shorter (1.60 Å) and three longer (1.66 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of Si–O bond distances ranging from 1.59–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra and corners with four AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Si–O bond distances ranging from 1.59–1.67 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There is three shorter (1.63 Å) and one longer (1.65 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to one Cs1+ and two Si4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+ and two Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Al3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted linear geometry to one Cs1+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3Zr2Si2PO12 by Materials Project

Na3Zr2Si2PO12 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.54–2.87 Å. In the second Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.69 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.73 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.63 Å. In the fifth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–2.84 Å. In the sixth Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.66 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.73 Å. In the eighth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–2.78 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.76 Å. In the tenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–2.83 Å. In the eleventh Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.73 Å. In the twelfth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.73 Å. There are eight inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.23 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.22 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.20 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.25 Å. In the fifth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.18 Å. In the sixth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.25 Å. In the seventh Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.01–2.28 Å. In the eighth Zr4+ site, Zr4+ is bonded to six O2- atoms to form ZrO6 octahedra that share corners with two PO4 tetrahedra and corners with four SiO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.28 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–43°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–44°. There is one shorter (1.62 Å) and three longer (1.64 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. All Si–O bond lengths are 1.64 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 16–44°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–39°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–45°. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 17–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Zr4+ and one P5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+, one Zr4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Zr4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Zr4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Zr4+, and one Si4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Zr4+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one Si4+ atom. In the forty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Zr4+, and one P5+ atom. In the forty-fourth O2-

36 MATERIALS SCIENCE↗

Materials Data on Na2Sr6ZnFe6F34 by Materials Project

Na2Sr6Fe6ZnF34 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 2-coordinate geometry to nine F1- atoms. There are a spread of Na–F bond distances ranging from 2.39–2.99 Å. In the second Na1+ site, Na1+ is bonded to six F1- atoms to form NaF6 octahedra that share corners with two ZnF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Na–F bond distances ranging from 2.24–2.44 Å. In the third Na1+ site, Na1+ is bonded to six F1- atoms to form NaF6 octahedra that share corners with two ZnF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Na–F bond distances ranging from 2.30–2.42 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Na–F bond distances ranging from 2.46–2.98 Å. There are twelve inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.50–3.11 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.55–2.73 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.47–2.75 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.54–2.78 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.47–2.71 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.42–3.00 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.43–2.93 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.48–2.70 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.50–2.76 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Sr–F bond distances ranging from 2.50–2.73 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.53–3.02 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Sr–F bond distances ranging from 2.41–2.96 Å. There are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of Fe–F bond distances ranging from 1.92–2.00 Å. In the second Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Fe–F bond distances ranging from 1.91–2.00 Å. In the third Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–58°. There are a spread of Fe–F bond distances ranging from 1.92–2.00 Å. In the fourth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Fe–F bond distances ranging from 1.93–2.00 Å. In the fifth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are a spread of Fe–F bond distances ranging from 1.90–2.00 Å. In the sixth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Fe–F bond distances ranging from 1.90–2.02 Å. In the seventh Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Fe–F bond distances ranging from 1.92–1.99 Å. In the eighth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Fe–F bond distances ranging from 1.91–2.00 Å. In the ninth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Fe–F bond distances ranging from 1.90–2.01 Å. In the tenth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share a cornercorner with one NaF6 octahedra, a cornercorner with one FeF6 octahedra, and a cornercorner with one ZnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Fe–F bond distances ranging from 1.92–2.04 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedra tilt angles range from 42–44°. There are a spread of Fe–F bond distances ranging from 1.91–1.98 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six F1- atoms to form corner-sharing FeF6 octahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Fe–F bond distances ranging from 1.90–2.02 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six F1- atoms to form ZnF6 octahedra that share corners with two NaF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Zn–F bond distances ranging from 2.00–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six F1- atoms to form ZnF6 octahedra that share corners with two NaF6 octahedra and corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Zn–F bond distances ranging from 2.04–2.14 Å. There are sixty-eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted linear geometry to one Sr2+ and one Fe3+ atom. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to two Sr2+ and one Fe3+ atom. In the third F1- site, F1- is bonded in a 3-coordinate geometry to two Sr2+ and one Fe3+ atom. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Na1+, one Sr2+, and one Fe3+ atom. In the fifth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the sixth F1- site, F1- is bonded in a distorted linear geometry to one Sr2+ and one Fe3+ atom. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to two Sr2+ and one Fe3+ atom. In the eighth F1- site, F1- is bonded in a 2-coordinate geometry to one Na1+ and two Fe3+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to two Sr2+ and one Fe3+ atom. In the tenth F1- site, F1- is bonded in a 1-coordinate geometry to two Sr2+ and one Fe3+ atom. In the eleventh F1- site, F1- is bonded in a 1-coordinate geometry to three Sr2+ and one Fe3+ atom. In the twelfth F1- site, F1- is bonded in a 1-coordinate geometry to three Sr2+ and one Fe3+ atom. In the thirteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Fe3+ atoms. In the fourteenth F1- site, F1- is bonded in a 1-coordinate geometry to three Sr2+ and one Fe3+ atom. In the fifteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Sr2+, and one Fe3+ atom. In the sixteenth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Sr2+ and one Fe3+ atom. In the eighteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Fe3+, and one Zn2+ atom. In the nineteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Sr2+ and one Fe3+ atom. In the twentieth F1- site, F1- is bonded in a 2-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-first F1- site, F1- is bonded in a 1-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-second F1- site, F1- is bonded in a 3-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the twenty-third F1- site, F1- is bonded to two Na1+, one Sr2+, and one Fe3+ atom to form distorted FNa2SrFe tetrahedra that share corners with two FNaSr2Zn tetrahedra and an edgeedge with one FNa2SrZn tetrahedra. In the twenty-fourth F1- site, F1- is bonded to two Na1+, one Sr2+, and one Zn2+ atom to form distorted FNa2SrZn tetrahedra that share corners with three FNaSr2Zn tetrahedra and an edgeedge with one FNa2SrFe tetrahedra. In the twenty-fifth F1- site, F1- is bonded in a 2-coordinate geometry to one Sr2+ and two Fe3+ atoms. In the twenty-sixth F1- site, F1- is bonded in a 1-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-seventh F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Fe3+ atoms. In the twenty-eighth F1- site, F1- is bonded in a 2-coordinate geometry to two Sr2+ and one Fe3+ atom. In the twenty-ninth F1- site, F1- is bonded to one Na1+, two Sr2+, and one Fe3+ atom to form distorted FNaSr2Fe tetrahedra that share corners with two FNaSr2Zn tetrahedra and an edgeedge with one FNaSr2Fe tetrahedra. In the thirtieth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Zn2+ atom. In the thirty-first F1- site, F1- is bonded in a 4-coordinate geometry to three Sr2+ and one Fe3+ atom. In the thirty-second F1- site, F1- is bonded in a 3-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-third F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the thirty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-fifth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-sixth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Sr2+, and one Fe3+ atom. In the thirty-seventh F1- site, F1- is bonded in a 3-coordinate geometry to one Sr2+, one Fe3+, and one Zn2+ atom. In the thirty-eighth F1- site, F1- is bonded to one Na1+, two Sr2+, and one Fe3+ atom to form distorted FNaSr2Fe tetrahedra that share a cornercorner with one FNa2SrFe tetrahedra and an edgeedge with one FNaSr2Fe tetrahedra. In the thirty-ninth F1- site, F1- is bonded to one Na1+, two Sr2+, and one Zn2+ atom to form distorted FNaSr2Zn tetrahedra that share corners with two FNa2SrZn tetrahedra and an edgeedge with one FNa2SrFe tetr

36 MATERIALS SCIENCE↗

Materials Data on Ti3Fe5O12 by Materials Project

Ti3Fe5O12 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three FeO6 octahedra, corners with six TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. There are a spread of Ti–O bond distances ranging from 1.88–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Ti–O bond distances ranging from 1.85–2.24 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–63°. There are a spread of Ti–O bond distances ranging from 1.83–2.25 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Ti–O bond distances ranging from 1.86–2.30 Å. There are ten inequivalent Fe+2.40+ sites. In the first Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the second Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Fe–O bond distances ranging from 1.97–2.16 Å. In the third Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There are a spread of Fe–O bond distances ranging from 1.98–2.18 Å. In the fourth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three TiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. In the fifth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. There are a spread of Fe–O bond distances ranging from 2.06–2.27 Å. In the sixth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Fe–O bond distances ranging from 2.07–2.31 Å. In the seventh Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the eighth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. In the ninth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the tenth Fe+2.40+ site, Fe+2.40+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four FeO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Fe–O bond distances ranging from 2.08–2.25 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the sixth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the ninth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with three OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the eleventh O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Ti4+ and two Fe+2.40+ atoms to form distorted OTi2Fe2 trigonal pyramids that share corners with three OTi2Fe2 trigonal pyramids and an edgeedge with one OTiFe3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the fifteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the seventeenth O2- site, O2- is bonded to two Ti4+ and two Fe+2.40+ atoms to form a mixture of distorted edge and corner-sharing OTi2Fe2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.40+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.40+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Fe+2.40+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.40+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ni2(PO4)3 by Materials Project

Li3Ni2(PO4)3 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.57 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.84 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.56 Å. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.57 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.45 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 2.05–2.68 Å. There are six inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.12 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.12 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and edges with three NiO6 octahedra. There is four shorter (1.98 Å) and two longer (1.99 Å) Ni–O bond length. In the fifth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and edges with three NiO6 octahedra. There is two shorter (1.96 Å) and four longer (1.99 Å) Ni–O bond length. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.10 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. 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 four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ni3+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ni3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ni3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ni3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ni3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ni3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn3(PO4)4 by Materials Project

Li3Mn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.71 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.05 Å) and two longer (2.20 Å) Li–O bond lengths. 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 1.93–2.71 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 1.93–2.78 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.78 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.05 Å) and two longer (2.22 Å) Li–O bond lengths. There are six inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.90–2.15 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. 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 corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on KMg8Al17Si19O72 by Materials Project

KMg8Al17Si19O72 crystallizes in the triclinic P1 space group. The structure is three-dimensional. K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.86–3.31 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.11–2.26 Å. In the second Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.27 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.33 Å. In the fourth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five SiO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.27 Å. In the fifth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.44 Å. In the sixth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.45 Å. In the seventh Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one AlO4 tetrahedra, and edges with two SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.38 Å. In the eighth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one SiO4 tetrahedra, and edges with two AlO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.28 Å. There are seventeen inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There is two shorter (1.75 Å) and two longer (1.80 Å) Al–O bond length. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Al–O bond distances ranging from 1.70–1.84 Å. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Al–O bond distances ranging from 1.68–1.84 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–48°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra and corners with four SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There is two shorter (1.73 Å) and two longer (1.81 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the eighth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the ninth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Al–O bond distances ranging from 1.69–1.78 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Al–O bond distances ranging from 1.68–1.80 Å. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of Al–O bond distances ranging from 1.69–1.79 Å. In the thirteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of Al–O bond distances ranging from 1.69–1.80 Å. In the fourteenth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.74–1.83 Å. In the fifteenth Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Al–O bond distances ranging from 1.73–1.83 Å. In the sixteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Al–O bond distances ranging from 1.72–1.78 Å. In the seventeenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Al–O bond distances ranging from 1.72–1.78 Å. There are nineteen inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of Si–O bond distances ranging from 1.59–1.71 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–49°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of Si–O bond distances ranging from 1.58–1.69 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of Si–O bond distances ranging from 1.59–1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of Si–O bond distances ranging from 1.57–1.70 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two MgO6 octahedra. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Si–O bond distances ranging from 1.58–1.69 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one SiO4 tetrahedra, and corners with three AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Si–O bond distances ranging from 1.59–1.72 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MgO6 octahedra, a cornercorner with one AlO4 tetrahedra, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the thirteenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra t

36 MATERIALS SCIENCE↗

Materials Data on LiSb(TeO4)3 by Materials Project

LiSb(TeO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with six TeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of Sb–O bond distances ranging from 1.98–2.05 Å. There are three inequivalent Te6+ sites. In the first Te6+ site, Te6+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent SbO6 octahedra and corners with four equivalent TeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Te–O bond distances ranging from 1.91–1.98 Å. In the second Te6+ site, Te6+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent TeO6 octahedra and corners with four equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of Te–O bond distances ranging from 1.91–2.01 Å. In the third Te6+ site, Te6+ is bonded to six O2- atoms to form corner-sharing TeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of Te–O bond distances ranging from 1.94–1.99 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a T-shaped geometry to one Li1+, one Sb5+, and one Te6+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Te6+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Te6+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sb5+, and one Te6+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two Te6+ atoms. In the sixth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Te6+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one Te6+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Te6+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Te6+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb5+, and one Te6+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Sb5+ and one Te6+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb5+, and one Te6+ atom.

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 Li5CuF6 by Materials Project

Li5CuF6 is Caswellsilverite-like structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two equivalent CuF6 octahedra, corners with seven LiF6 octahedra, edges with two equivalent CuF6 octahedra, edges with seven LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 6–51°. There are a spread of Li–F bond distances ranging from 2.01–2.21 Å. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two equivalent CuF6 octahedra, corners with seven LiF6 octahedra, edges with two equivalent CuF6 octahedra, edges with seven LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 7–51°. There are a spread of Li–F bond distances ranging from 2.00–2.17 Å. In the third Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share a cornercorner with one CuF6 octahedra, corners with eight LiF6 octahedra, an edgeedge with one CuF6 octahedra, edges with eight LiF6 octahedra, and a faceface with one CuF6 octahedra. The corner-sharing octahedra tilt angles range from 2–51°. There are a spread of Li–F bond distances ranging from 1.99–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two CuF6 octahedra, corners with seven LiF6 octahedra, edges with two equivalent CuF6 octahedra, edges with seven LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 3–50°. There are a spread of Li–F bond distances ranging from 1.97–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two CuF6 octahedra, corners with seven LiF6 octahedra, edges with two equivalent CuF6 octahedra, edges with seven LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 3–50°. There are a spread of Li–F bond distances ranging from 1.99–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two equivalent CuF6 octahedra, corners with ten LiF6 octahedra, edges with two equivalent CuF6 octahedra, edges with four LiF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Li–F bond distances ranging from 2.01–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two equivalent CuF6 octahedra, corners with ten LiF6 octahedra, edges with two equivalent CuF6 octahedra, edges with four LiF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Li–F bond distances ranging from 2.01–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with four equivalent CuF6 octahedra, corners with eight LiF6 octahedra, an edgeedge with one CuF6 octahedra, edges with five LiF6 octahedra, and faces with two LiF6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Li–F bond distances ranging from 2.01–2.11 Å. In the ninth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with twelve LiF6 octahedra, edges with six LiF6 octahedra, and faces with two equivalent CuF6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–F bond distances ranging from 2.07–2.18 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with twelve LiF6 octahedra, edges with six LiF6 octahedra, and faces with two equivalent LiF6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Cu–F bond distances ranging from 2.21–2.28 Å. In the second Cu1+ site, Cu1+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with nine LiF6 octahedra, edges with nine LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 2–51°. There are a spread of Cu–F bond distances ranging from 2.18–2.28 Å. There are nine inequivalent F1- sites. In the first F1- site, F1- is bonded in a 6-coordinate geometry to five Li1+ and one Cu1+ atom. In the second F1- site, F1- is bonded to five Li1+ and one Cu1+ atom to form edge-sharing FLi5Cu octahedra. In the third F1- site, F1- is bonded to five Li1+ and one Cu1+ atom to form edge-sharing FLi5Cu octahedra. In the fourth F1- site, F1- is bonded to five Li1+ and one Cu1+ atom to form edge-sharing FLi5Cu octahedra. In the fifth F1- site, F1- is bonded in a 6-coordinate geometry to five Li1+ and one Cu1+ atom. In the sixth F1- site, F1- is bonded in a 6-coordinate geometry to five Li1+ and one Cu1+ atom. In the seventh F1- site, F1- is bonded in a 6-coordinate geometry to five Li1+ and one Cu1+ atom. In the eighth F1- site, F1- is bonded in a 6-coordinate geometry to five Li1+ and one Cu1+ atom. In the ninth F1- site, F1- is bonded in a 6-coordinate geometry to five Li1+ and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3P8O29 by Materials Project

Li3V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.99–2.24 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.16 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.50 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.44 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.07–2.53 Å. There are six inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.80–1.98 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.02 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.94 Å. In the fourth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.99 Å. In the fifth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.94 Å. In the sixth V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.00 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–42°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–34°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 32–37°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.46–1.64 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–51°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–46°. 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 two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–36°. There are a spread of P–O bond distances ranging from 1.46–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 33–36°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 25–32°. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V5+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 15

36 MATERIALS SCIENCE↗

Materials Data on Li2Co4OF8 by Materials Project

Li2Co4OF8 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 one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with nine CoO2F4 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Li–O bond length is 2.44 Å. There are a spread of Li–F bond distances ranging from 1.96–2.14 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.96–2.48 Å. In the third Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with five CoOF5 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. The Li–O bond length is 1.99 Å. There are a spread of Li–F bond distances ranging from 1.88–2.34 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.96 Å. There are a spread of Li–F bond distances ranging from 1.87–2.53 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.95 Å. There are a spread of Li–F bond distances ranging from 1.92–2.56 Å. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with nine CoO2F4 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Li–F bond distances ranging from 1.93–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with seven CoOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Li–F bond distances ranging from 1.93–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with nine CoF6 octahedra, edges with two equivalent CoF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Li–F bond distances ranging from 1.94–2.39 Å. There are sixteen inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, and a faceface with one CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are one shorter (2.00 Å) and one longer (2.22 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.06–2.22 Å. In the second Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with four CoO2F4 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–59°. The Co–O bond length is 2.07 Å. There are a spread of Co–F bond distances ranging from 2.01–2.28 Å. In the third Co2+ site, Co2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Co–O bond length is 1.88 Å. There are a spread of Co–F bond distances ranging from 2.00–2.60 Å. In the fourth Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with three CoOF5 octahedra, corners with four LiOF5 octahedra, and edges with three CoF6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of Co–F bond distances ranging from 1.99–2.22 Å. In the fifth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three LiOF5 octahedra, corners with three CoO2F4 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. The Co–O bond length is 2.03 Å. There are a spread of Co–F bond distances ranging from 1.98–2.27 Å. In the sixth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three CoOF5 octahedra, corners with five LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–64°. The Co–O bond length is 2.06 Å. There are a spread of Co–F bond distances ranging from 1.98–2.25 Å. In the seventh Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with two equivalent LiF6 octahedra, corners with two CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Co–F bond distances ranging from 2.00–2.19 Å. In the eighth Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with three LiOF5 octahedra, corners with four CoF6 octahedra, edges with two equivalent LiF6 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There are a spread of Co–F bond distances ranging from 2.00–2.22 Å. In the ninth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with four CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. The Co–O bond length is 2.03 Å. There are a spread of Co–F bond distances ranging from 2.01–2.37 Å. In the tenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three LiOF5 octahedra, corners with four CoOF5 octahedra, edges with two equivalent CoO2F4 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. The Co–O bond length is 2.02 Å. There are a spread of Co–F bond distances ranging from 2.01–2.25 Å. In the eleventh Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share a cornercorner with one CoOF5 octahedra, corners with five LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Co–F bond distances ranging from 1.97–2.20 Å. In the twelfth Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, an edgeedge with one CoOF5 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 35–56°. There are a spread of Co–F bond distances ranging from 1.97–2.17 Å. In the thirteenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with two equivalent CoOF5 octahedra, corners with four LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–59°. The Co–O bond length is 2.06 Å. There are a spread of Co–F bond distances ranging from 2.01–2.19 Å. In the fourteenth Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, and a faceface with one CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–61°. There are one shorter (1.97 Å) and one longer (2.15 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.03–2.32 Å. In the fifteenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share a cornercorner with one LiF6 octahedra, corners with three CoF6 octahedra, edges with two equivalent CoF6 octahedra, and edges with three LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 35–52°. The Co–O bond length is 1.89 Å. There are a spread of Co–F bond distances ranging from 2.05–2.40 Å. In the sixteenth Co2+ site, Co2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Co–O bond length is 1.86 Å. There are a spread of Co–F bond distances ranging from 2.02–2.60 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one FLiCo4 trigonal bipyramid, corners with two FLi2Co2 trigonal pyramids, an edgeedge with one OLiCo4 trigonal bipyramid, and an edgeedge with one FLi2Co2 trigonal pyramid. In the second O2- site, O2- is bonded to one Li1+ and four Co2+ atoms to form distorted OLiCo4 trigonal bipyramids that share corners with two FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 trigonal pyramid, and edges with three FLi2Co2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Co2+ atoms to form distorted OLiCo4 trigonal bipyramids that share corners with two FLiCo3 trigonal pyramids and edges with two FLi2Co2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Co2+ atoms to form distorted OLi2Co2 tetrahedra that share a cornercorner with one FLi2Co2 tetrahedra, corners with five FLi2Co2 trigonal pyramids, an edgeedge with one FLi2Co2 tetrahedra, edges with two FLiCo4 trigonal bipyramids, and an edgeedge with one FLi2Co2 trigonal pyramid. There are thirty-two inequivalent F1- sites. In the first F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share a cornercorner with one OLi2Co2 tetrahedra, corners with two equivalent FLi2Co2 tetrahedra, corners with three FLiCo3 trigonal pyramids, an edgeedge with one FLiCo4 trigonal bipyramid, and edges with two FLi2Co2 trigonal pyramids. In the second F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share a cornercorner with one OLi2Co2 tetrahedra, corners with three FLi2Co2 trigonal pyramids, an edgeedge with one FLiCo4 trigonal bipyramid, and edges with three FLiCo3 trigonal pyramids. In the third F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Co2+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two Co2+ atoms. In the fifth F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Co2+ atoms. In the sixth F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share corners with three FLi2Co2 trigonal pyramids, edges with two OLiCo4 trigonal bipyramids, and an edgeedge with one FLi2Co2 trigonal pyramid. In the seventh F1- site, F1- is bonded to one Li1+ and four Co2+ atoms to form distorted FLiCo4 trigonal bipyramids that share a cornercorner with one FLi2Co2 tetrahedra, corners with three FLi2Co2 trigonal pyramids, an edgeedge with one OLi2Co2 tetrahedra, an edgeedge with one FLi2Co2 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the eighth F1- site, F1- is bonded to one Li1+ and four Co2+ atoms to form distorted FLiCo4 trigonal bipyramids that share a cornercorner with one FLi2Co2 tetrahedra, a cornercorner with one OLiCo3 trigonal pyramid, corners with two FLi2Co2 trigonal pyramids, an edgeedge with one OLi2Co2 tetrahedra, and edges with three FLiCo3 trigonal pyramids. In the ninth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share a cornercorner with one OLiCo4 trigonal bipyramid, corners with four FLi2Co2 trigonal pyramids, an

36 MATERIALS SCIENCE↗

Materials Data on MgTi11O20 by Materials Project

MgTi11O20 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with four TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of Mg–O bond distances ranging from 2.02–2.18 Å. There are seven inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ 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 23–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the third Ti+3.45+ site, Ti+3.45+ 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 24–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.21 Å. In the fourth Ti+3.45+ site, Ti+3.45+ 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 24–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.20 Å. In the fifth Ti+3.45+ site, Ti+3.45+ 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 24–42°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the sixth Ti+3.45+ site, Ti+3.45+ 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 26–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the seventh Ti+3.45+ site, Ti+3.45+ 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 23–42°. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the second O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.45+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Ti+3.45+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba3LiTi5Nb3O21 by Materials Project

LiBa3Ti5Nb3O21 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. Li1+ is bonded in a trigonal planar geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.67 Å. There are two 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 2.79–3.27 Å. In the second 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 2.74–3.23 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with three NbO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 26–42°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with three NbO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–42°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Nb–O bond distances ranging from 1.99–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three TiO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–43°. There are a spread of Nb–O bond distances ranging from 1.95–2.11 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, one Ba2+, two equivalent Ti4+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+, two Ti4+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Ba2+, and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ba2+, one Ti4+, and one Nb5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, one Ti4+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ti4+, and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ti4+, and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiV2OF5 by Materials Project

LiV2OF5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with six VOF5 octahedra and edges with three VOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. The Li–O bond length is 2.07 Å. There are a spread of Li–F bond distances ranging from 2.01–2.09 Å. In the second Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with six VOF5 octahedra and edges with three VOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. The Li–O bond length is 2.06 Å. There are a spread of Li–F bond distances ranging from 2.01–2.07 Å. In the third Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with six VOF5 octahedra and edges with three VOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. The Li–O bond length is 2.07 Å. There are a spread of Li–F bond distances ranging from 2.03–2.07 Å. There are six inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to one O2- and five F1- atoms to form VOF5 octahedra that share corners with four LiOF5 octahedra, corners with six VOF5 octahedra, and an edgeedge with one LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 2.02–2.11 Å. In the second V3+ site, V3+ is bonded to one O2- and five F1- atoms to form VOF5 octahedra that share corners with two equivalent LiOF5 octahedra, corners with six VOF5 octahedra, and edges with two LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. The V–O bond length is 1.86 Å. There are a spread of V–F bond distances ranging from 2.03–2.06 Å. In the third V3+ site, V3+ is bonded to one O2- and five F1- atoms to form VOF5 octahedra that share corners with four LiOF5 octahedra, corners with six VOF5 octahedra, and an edgeedge with one LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. The V–O bond length is 1.86 Å. There are a spread of V–F bond distances ranging from 2.02–2.10 Å. In the fourth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form VOF5 octahedra that share corners with two equivalent LiOF5 octahedra, corners with six VOF5 octahedra, and edges with two LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. The V–O bond length is 1.86 Å. There are a spread of V–F bond distances ranging from 2.02–2.08 Å. In the fifth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form VOF5 octahedra that share corners with two equivalent LiOF5 octahedra, corners with six VOF5 octahedra, and edges with two LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 2.00–2.11 Å. In the sixth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form VOF5 octahedra that share corners with four LiOF5 octahedra, corners with six VOF5 octahedra, and an edgeedge with one LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. The V–O bond length is 1.86 Å. There are two shorter (2.04 Å) and three longer (2.06 Å) V–F bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two V3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. There are fifteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two V3+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two V3+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two V3+ atoms.

36 MATERIALS SCIENCE↗