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Materials Data on Na4Ge2Se5 by Materials Project

Na4Ge2Se5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Na–Se bond distances ranging from 3.06–3.21 Å. In the second Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Na–Se bond distances ranging from 3.00–3.27 Å. In the third Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Na–Se bond distances ranging from 3.04–3.21 Å. In the fourth Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are four shorter (3.12 Å) and two longer (3.16 Å) Na–Se bond lengths. In the fifth Na1+ site, Na1+ is bonded to six Se2- atoms to form a mixture of edge and corner-sharing NaSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Na–Se bond distances ranging from 2.96–3.26 Å. There are two inequivalent Ge3+ sites. In the first Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Se2- atoms. There are two shorter (2.36 Å) and one longer (2.49 Å) Ge–Se bond lengths. In the second Ge3+ site, Ge3+ is bonded in a trigonal non-coplanar geometry to three Se2- atoms. There are two shorter (2.36 Å) and one longer (2.48 Å) Ge–Se bond lengths. There are five inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 0–89°. In the second Se2- site, Se2- is bonded to four Na1+ and two Ge3+ atoms to form a mixture of distorted edge and corner-sharing SeNa4Ge2 octahedra. The corner-sharing octahedra tilt angles range from 0–86°. In the third Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 0–89°. In the fourth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 0–87°. In the fifth Se2- site, Se2- is bonded to five Na1+ and one Ge3+ atom to form a mixture of distorted edge and corner-sharing SeNa5Ge octahedra. The corner-sharing octahedra tilt angles range from 0–87°.

36 MATERIALS SCIENCE↗

Materials Data on Ca(Pr2Se3)4 by Materials Project

Ca(Pr2Se3)4 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. Ca is bonded to eight Se atoms to form distorted CaSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, and faces with eight PrSe8 hexagonal bipyramids. There are a spread of Ca–Se bond distances ranging from 3.01–3.24 Å. There are eight inequivalent Pr sites. In the first Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.23 Å. In the second Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the third Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent CaSe8 hexagonal bipyramids, corners with six PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.02–3.22 Å. In the fourth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with two equivalent CaSe8 hexagonal bipyramids, corners with six PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.22 Å. In the fifth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.23 Å. In the sixth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.01–3.22 Å. In the seventh Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with two equivalent CaSe8 hexagonal bipyramids, edges with two PrSe8 hexagonal bipyramids, and faces with eight PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.22 Å. In the eighth Pr site, Pr is bonded to eight Se atoms to form distorted PrSe8 hexagonal bipyramids that share corners with eight PrSe8 hexagonal bipyramids, edges with four PrSe8 hexagonal bipyramids, faces with two equivalent CaSe8 hexagonal bipyramids, and faces with six PrSe8 hexagonal bipyramids. There are a spread of Pr–Se bond distances ranging from 3.03–3.21 Å. There are twelve inequivalent Se sites. In the first Se site, Se is bonded to one Ca and five Pr atoms to form distorted SeCaPr5 octahedra that share corners with fifteen SeCaPr5 octahedra, edges with six SeCaPr5 octahedra, and faces with five SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the second Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the third Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the fourth Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the fifth Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°. In the sixth Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the seventh Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eighth Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the ninth Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the tenth Se site, Se is bonded to six Pr atoms to form distorted SePr6 octahedra that share corners with fifteen SeCaPr5 octahedra, edges with six SeCaPr5 octahedra, and faces with five SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. In the eleventh Se site, Se is bonded to one Ca and five Pr atoms to form a mixture of distorted edge, face, and corner-sharing SeCaPr5 octahedra. The corner-sharing octahedra tilt angles range from 17–51°. In the twelfth Se site, Se is bonded to six Pr atoms to form a mixture of distorted edge, face, and corner-sharing SePr6 octahedra. The corner-sharing octahedra tilt angles range from 16–51°.

36 MATERIALS SCIENCE↗

Materials Data on Ca(Ce2Se3)4 by Materials Project

Ca(Ce2Se3)4 crystallizes in the monoclinic Cc space group. The structure is three-dimensional. Ca is bonded to eight Se atoms to form distorted CaSe8 hexagonal bipyramids that share corners with eight CeSe8 hexagonal bipyramids, edges with four CeSe8 hexagonal bipyramids, and faces with eight CeSe8 hexagonal bipyramids. There are a spread of Ca–Se bond distances ranging from 2.99–3.19 Å. There are eight inequivalent Ce sites. In the first Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven CeSe8 hexagonal bipyramids, edges with four CeSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven CeSe8 hexagonal bipyramids. There are a spread of Ce–Se bond distances ranging from 3.00–3.17 Å. In the second Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share corners with two equivalent CaSe8 hexagonal bipyramids, corners with six CeSe8 hexagonal bipyramids, edges with four CeSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven CeSe8 hexagonal bipyramids. There are a spread of Ce–Se bond distances ranging from 2.99–3.17 Å. In the third Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven CeSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three CeSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven CeSe8 hexagonal bipyramids. There are a spread of Ce–Se bond distances ranging from 2.99–3.17 Å. In the fourth Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share corners with two equivalent CaSe8 hexagonal bipyramids, corners with six CeSe8 hexagonal bipyramids, edges with four CeSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven CeSe8 hexagonal bipyramids. There are a spread of Ce–Se bond distances ranging from 2.99–3.16 Å. In the fifth Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share corners with eight CeSe8 hexagonal bipyramids, edges with two equivalent CaSe8 hexagonal bipyramids, edges with two CeSe8 hexagonal bipyramids, and faces with eight CeSe8 hexagonal bipyramids. There are four shorter (3.00 Å) and four longer (3.16 Å) Ce–Se bond lengths. In the sixth Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven CeSe8 hexagonal bipyramids, edges with four CeSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven CeSe8 hexagonal bipyramids. There are a spread of Ce–Se bond distances ranging from 2.99–3.17 Å. In the seventh Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share corners with eight CeSe8 hexagonal bipyramids, edges with four CeSe8 hexagonal bipyramids, faces with two equivalent CaSe8 hexagonal bipyramids, and faces with six CeSe8 hexagonal bipyramids. There are four shorter (3.01 Å) and four longer (3.16 Å) Ce–Se bond lengths. In the eighth Ce site, Ce is bonded to eight Se atoms to form distorted CeSe8 hexagonal bipyramids that share a cornercorner with one CaSe8 hexagonal bipyramid, corners with seven CeSe8 hexagonal bipyramids, an edgeedge with one CaSe8 hexagonal bipyramid, edges with three CeSe8 hexagonal bipyramids, a faceface with one CaSe8 hexagonal bipyramid, and faces with seven CeSe8 hexagonal bipyramids. There are a spread of Ce–Se bond distances ranging from 2.99–3.17 Å. There are twelve inequivalent Se sites. In the first Se site, Se is bonded to one Ca and five Ce atoms to form distorted SeCaCe5 octahedra that share corners with fifteen SeCaCe5 octahedra, edges with six SeCaCe5 octahedra, and faces with five SeCe6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the second Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the third Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the fourth Se site, Se is bonded to six Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCe6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the fifth Se site, Se is bonded to six Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCe6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the sixth Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the seventh Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eighth Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the ninth Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the tenth Se site, Se is bonded to six Ce atoms to form distorted SeCe6 octahedra that share corners with fifteen SeCaCe5 octahedra, edges with six SeCaCe5 octahedra, and faces with five SeCe6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the eleventh Se site, Se is bonded to one Ca and five Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCaCe5 octahedra. The corner-sharing octahedra tilt angles range from 17–50°. In the twelfth Se site, Se is bonded to six Ce atoms to form a mixture of distorted face, edge, and corner-sharing SeCe6 octahedra. The corner-sharing octahedra tilt angles range from 17–50°.

36 MATERIALS SCIENCE↗

Materials Data on Ca13Y6F43 by Materials Project

Ca13Y6F43 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are five inequivalent Ca sites. In the first Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.34–2.93 Å. In the second Ca site, Ca is bonded in a 9-coordinate geometry to eight F atoms. There are a spread of Ca–F bond distances ranging from 2.38–2.57 Å. In the third Ca site, Ca is bonded in a body-centered cubic geometry to eight F atoms. There are a spread of Ca–F bond distances ranging from 2.33–2.46 Å. In the fourth Ca site, Ca is bonded in a body-centered cubic geometry to eight F atoms. There are a spread of Ca–F bond distances ranging from 2.32–2.48 Å. In the fifth Ca site, Ca is bonded in a distorted q6 geometry to nine F atoms. There are six shorter (2.48 Å) and three longer (2.54 Å) Ca–F bond lengths. There are two inequivalent Y sites. In the first Y site, Y is bonded in a 8-coordinate geometry to eight F atoms. There are a spread of Y–F bond distances ranging from 2.26–2.40 Å. In the second Y site, Y is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Y–F bond distances ranging from 2.23–2.48 Å. There are fifteen inequivalent F sites. In the first F site, F is bonded in a 2-coordinate geometry to one Ca and two Y atoms. In the second F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the third F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the fourth F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the fifth F site, F is bonded in a 3-coordinate geometry to one Ca and two Y atoms. In the sixth F site, F is bonded to four Ca atoms to form a mixture of edge and corner-sharing FCa4 tetrahedra. In the seventh F site, F is bonded to four Ca atoms to form a mixture of edge and corner-sharing FCa4 tetrahedra. In the eighth F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the ninth F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the tenth F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the eleventh F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the twelfth F site, F is bonded in a trigonal non-coplanar geometry to one Ca and two equivalent Y atoms. In the thirteenth F site, F is bonded to three Ca and one Y atom to form a mixture of edge and corner-sharing FCa3Y tetrahedra. In the fourteenth F site, F is bonded in a 4-coordinate geometry to two Ca and two equivalent Y atoms. In the fifteenth F site, F is bonded in a trigonal non-coplanar geometry to three equivalent Y atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr3Sc4O12 by Materials Project

Sc4Zr3O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the second Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.70 Å. In the third Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.65 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.67 Å. In the fifth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.58 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.24 Å. In the seventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.68 Å. In the eighth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.70 Å. In the ninth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.58 Å. In the tenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.63 Å. In the eleventh Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.67 Å. In the twelfth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.65 Å. In the thirteenth Sc3+ site, Sc3+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the fourteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.10–2.64 Å. In the fifteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.71 Å. In the sixteenth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.24 Å. In the seventeenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.11–2.66 Å. In the eighteenth Sc3+ site, Sc3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 2.09–2.71 Å. In the nineteenth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share a cornercorner with one ZrO7 pentagonal bipyramid and an edgeedge with one ZrO7 pentagonal bipyramid. There are a spread of Sc–O bond distances ranging from 2.08–2.16 Å. In the twentieth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.08–2.22 Å. There are fifteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.44 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–O bond distances ranging from 2.08–2.39 Å. In the third Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.10–2.53 Å. In the fourth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one ScO6 octahedra and an edgeedge with one ScO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–O bond distances ranging from 2.08–2.40 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.42 Å. In the seventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.45 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted edge and corner-sharing ZrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Zr–O bond distances ranging from 2.06–2.40 Å. In the ninth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.42 Å. In the tenth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.45 Å. In the twelfth Zr4+ site, Zr4+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Zr–O bond distances ranging from 2.07–2.13 Å. In the thirteenth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.41 Å. In the fourteenth Zr4+ site, Zr4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.53 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing ZrO6 octahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.14 Å. There are sixty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the third O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with ten OZrSc3 tetrahedra and edges with three OZr3Sc tetrahedra. In the fourth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with seven OZr2Sc2 tetrahedra and edges with three OZrSc3 tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the sixth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with three OZr3Sc tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and two Zr4+ atoms. In the tenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with seven OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the eleventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the twelfth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+ and three Zr4+ atoms. In the sixteenth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZr3Sc tetrahedra. In the seventeenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with three OZr2Sc2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with nine OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the twentieth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZr3Sc tetrahedra and edges with two OZrSc3 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr2Sc2 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form a mixture of distorted edge and corner-sharing OZr3Sc tetrahedra. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eleven OZrSc3 tetrahedra and edges with four OZr3Sc tetrahedra. In the twenty-seventh O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with nine OZr3Sc tetrahedra and edges with four OZr2Sc2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eight OZrSc3 tetrahedra and edges with four OZr3Sc tetrahedra. In the thirtieth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form a mixture of distorted edge and corner-sharing OZrSc3 tetrahedra. In the thirty-first O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with six OZrSc3 tetrahedra and edges with four OZr2Sc2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Sc3+ and one Zr4+ atom. In the thirty-third O2- site, O2- is bonded to one Sc3+ and three Zr4+ atoms to form distorted OZr3Sc tetrahedra that share corners with ten OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded to two Sc3+ and two Zr4+ atoms to form distorted OZr2Sc2 tetrahedra that share corners with eleven OZr2Sc2 tetrahedra and edges with four OZrSc3 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to three Sc3+ and one Zr4+ atom to form distorted OZrSc3 tetrahedra that share corners with seven OZr2Sc2 tetrahedra and edges with four OZr3Sc tetrahedra. In the thirty-sixth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on Sr3La21Zn2(Cu5O24)2 by Materials Project

Sr3La21Zn2(Cu5O24)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.44–3.03 Å. In the second Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.48–3.01 Å. In the third Sr site, Sr is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.96 Å. There are twenty-one inequivalent La sites. In the first La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.14 Å. In the second La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.46–3.24 Å. In the third La site, La is bonded in a 4-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the fourth La site, La is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.34–2.76 Å. In the fifth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.27 Å. In the sixth La site, La is bonded in a 9-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.37–2.79 Å. In the seventh La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.26–3.27 Å. In the eighth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.76 Å. In the ninth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.28–3.18 Å. In the tenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.20 Å. In the eleventh La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.20 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.39–2.80 Å. In the thirteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.25–3.12 Å. In the fourteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.27–3.16 Å. In the fifteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.32–3.21 Å. In the sixteenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the seventeenth La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.33–3.10 Å. In the eighteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.36–3.22 Å. In the nineteenth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.31–3.20 Å. In the twentieth La site, La is bonded in a 2-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.30–3.26 Å. In the twenty-first La site, La is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of La–O bond distances ranging from 2.34–3.19 Å. There are ten inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Cu–O bond distances ranging from 1.89–2.51 Å. In the second Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.47 Å. In the third Cu site, Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Cu–O bond distances ranging from 1.90–2.56 Å. In the fourth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cu–O bond distances ranging from 1.93–2.51 Å. In the fifth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.95–2.46 Å. In the sixth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.94–2.53 Å. In the seventh Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.95–2.44 Å. In the eighth Cu site, Cu is bonded to six O atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Cu–O bond distances ranging from 1.92–2.44 Å. In the ninth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cu–O bond distances ranging from 1.93–2.53 Å. In the tenth Cu site, Cu is bonded to six O atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Cu–O bond distances ranging from 1.91–2.48 Å. There are two inequivalent Zn sites. In the first Zn site, Zn is bonded to six O atoms to form ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Zn–O bond distances ranging from 1.98–2.44 Å. In the second Zn site, Zn is bonded to six O atoms to form distorted ZnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Zn–O bond distances ranging from 1.98–2.52 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the second O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the third O site, O is bonded in a 2-coordinate geometry to five La and one Cu atom. In the fourth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fifth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the sixth O site, O is bonded in a 6-coordinate geometry to one Sr, three La, and two Cu atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to five La and one Zn atom. In the eighth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the ninth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the tenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eleventh O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twelfth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the thirteenth O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the fourteenth O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the fifteenth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the sixteenth O site, O is bonded in a 5-coordinate geometry to one Sr, four La, and one Cu atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to four La and one Cu atom. In the eighteenth O site, O is bonded in a 5-coordinate geometry to five La and one Zn atom. In the nineteenth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twentieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the twenty-first O site, O is bonded to four La, one Cu, and one Zn atom to form distorted face-sharing OLa4ZnCu octahedra. In the twenty-second O site, O is bonded in a 6-coordinate geometry to four La, one Cu, and one Zn atom. In the twenty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the twenty-fourth O site, O is bonded in a 6-coordinate geometry to five La and one Cu atom. In the twenty-fifth O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, two La, and one Cu atom. In the twenty-sixth O site, O is bonded in a 6-coordinate geometry to five La and one Zn atom. In the twenty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twenty-ninth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirtieth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the thirty-first O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the thirty-second O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the thirty-third O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fourth O site, O is bonded in a 5-coordinate geometry to five La and one Cu atom. In the thirty-fifth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-sixth O site, O is bonded to one Sr, three La, and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OSrLa3Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirty-seventh O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-eighth O site, O is bonded to four La and two Cu atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirty-ninth O site, O is bonded in a 6-coordinate geometry to two equivalent Sr, three La, and one Cu atom. In the fortieth O site, O is bonded in a 6-coordinate geometry to one Sr, four La, and one Cu atom. In the forty-first O site, O is bonded in a 5-coordinate geometry to two equivalent Sr, three

36 MATERIALS SCIENCE↗

Materials Data on Ti7O13 by Materials Project

Ti7O13 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Ti+3.71+ sites. In the first Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of distorted corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the second Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the third Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the fourth Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of distorted corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the fifth Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Ti–O bond distances ranging from 1.88–2.15 Å. In the sixth Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the seventh Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the eighth Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.71+ atoms. In the third O2- site, O2- is bonded to four Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.71+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the eleventh O2- site, O2- is bonded to four Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.71+ atoms. In the thirteenth O2- site, O2- is bonded to four Ti+3.71+ atoms to form distorted edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti8O15 by Materials Project

Ti8O15 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Ti+3.75+ sites. In the first Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of distorted edge, face, and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.86–2.19 Å. In the second Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of distorted edge, face, and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the third Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.11 Å. In the fourth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the fifth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the sixth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the seventh Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the eighth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.75+ atoms to form distorted edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.75+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.75+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.75+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe2BO4 by Materials Project

Fe2BO4 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 59–66°. There are a spread of Fe–O bond distances ranging from 2.07–2.29 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.96–2.22 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Fe–O bond distances ranging from 2.04–2.31 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Fe–O bond distances ranging from 1.98–2.18 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 59–65°. There are a spread of Fe–O bond distances ranging from 2.03–2.33 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three Fe+2.50+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded to four Fe+2.50+ atoms to form distorted edge-sharing OFe4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Fe+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Fe+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded to four Fe+2.50+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe+2.50+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Fe+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Fe+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to four Fe+2.50+ atoms to form a mixture of distorted edge and corner-sharing OFe4 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Fe+2.50+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Nd4Br9 by Materials Project

Nd4Br9 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are eight inequivalent Nd+2.25+ sites. In the first Nd+2.25+ site, Nd+2.25+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing NdBr7 pentagonal bipyramids. There are a spread of Nd–Br bond distances ranging from 2.99–3.16 Å. In the second Nd+2.25+ site, Nd+2.25+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing NdBr7 pentagonal bipyramids. There are a spread of Nd–Br bond distances ranging from 3.00–3.16 Å. In the third Nd+2.25+ site, Nd+2.25+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Nd–Br bond distances ranging from 2.96–3.33 Å. In the fourth Nd+2.25+ site, Nd+2.25+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing NdBr7 pentagonal bipyramids. There are a spread of Nd–Br bond distances ranging from 3.00–3.13 Å. In the fifth Nd+2.25+ site, Nd+2.25+ is bonded to seven Br1- atoms to form a mixture of distorted corner and edge-sharing NdBr7 pentagonal bipyramids. There are a spread of Nd–Br bond distances ranging from 2.99–3.15 Å. In the sixth Nd+2.25+ site, Nd+2.25+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Nd–Br bond distances ranging from 2.95–3.34 Å. In the seventh Nd+2.25+ site, Nd+2.25+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Nd–Br bond distances ranging from 2.96–3.31 Å. In the eighth Nd+2.25+ site, Nd+2.25+ is bonded in a 8-coordinate geometry to eight Br1- atoms. There are a spread of Nd–Br bond distances ranging from 2.96–3.30 Å. There are eighteen inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Nd+2.25+ atoms. In the second Br1- site, Br1- is bonded to four Nd+2.25+ atoms to form a mixture of distorted corner and edge-sharing BrNd4 trigonal pyramids. In the third Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Nd+2.25+ atoms. In the fourth Br1- site, Br1- is bonded to four Nd+2.25+ atoms to form a mixture of distorted corner and edge-sharing BrNd4 trigonal pyramids. In the fifth Br1- site, Br1- is bonded to four Nd+2.25+ atoms to form a mixture of distorted corner and edge-sharing BrNd4 trigonal pyramids. In the sixth Br1- site, Br1- is bonded to four Nd+2.25+ atoms to form a mixture of distorted corner and edge-sharing BrNd4 trigonal pyramids. In the seventh Br1- site, Br1- is bonded in a 3-coordinate geometry to three Nd+2.25+ atoms. In the eighth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Nd+2.25+ atoms. In the ninth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Nd+2.25+ atoms. In the tenth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Nd+2.25+ atoms. In the eleventh Br1- site, Br1- is bonded to four Nd+2.25+ atoms to form a mixture of distorted corner and edge-sharing BrNd4 trigonal pyramids. In the twelfth Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Nd+2.25+ atoms. In the thirteenth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Nd+2.25+ atoms. In the fourteenth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Nd+2.25+ atoms. In the fifteenth Br1- site, Br1- is bonded in a distorted trigonal planar geometry to three Nd+2.25+ atoms. In the sixteenth Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Nd+2.25+ atoms. In the seventeenth Br1- site, Br1- is bonded in a distorted trigonal non-coplanar geometry to three Nd+2.25+ atoms. In the eighteenth Br1- site, Br1- is bonded to four Nd+2.25+ atoms to form a mixture of distorted corner and edge-sharing BrNd4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on In10(Pb2S7)3 by Materials Project

Pb6In10S21 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of In–S bond distances ranging from 2.57–2.79 Å. In the second In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of In–S bond distances ranging from 2.58–2.84 Å. In the third In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of In–S bond distances ranging from 2.55–2.91 Å. In the fourth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of In–S bond distances ranging from 2.55–2.90 Å. In the fifth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. There are a spread of In–S bond distances ranging from 2.62–2.83 Å. In the sixth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of In–S bond distances ranging from 2.61–2.73 Å. In the seventh In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of In–S bond distances ranging from 2.58–2.77 Å. In the eighth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of In–S bond distances ranging from 2.61–2.72 Å. In the ninth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. There are a spread of In–S bond distances ranging from 2.62–2.84 Å. In the tenth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of In–S bond distances ranging from 2.58–2.83 Å. There are six inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pb–S bond distances ranging from 2.80–3.46 Å. In the second Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Pb–S bond distances ranging from 2.87–3.61 Å. In the third Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pb–S bond distances ranging from 2.80–3.43 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pb–S bond distances ranging from 2.89–3.58 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pb–S bond distances ranging from 2.97–3.40 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Pb–S bond distances ranging from 2.96–3.39 Å. There are twenty-one inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to six Pb2+ atoms. In the second S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to six Pb2+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the sixth S2- site, S2- is bonded to five In3+ and one Pb2+ atom to form distorted edge-sharing SIn5Pb square pyramids. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the ninth S2- site, S2- is bonded in a 1-coordinate geometry to one In3+ and four Pb2+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In3+ atoms. In the eleventh S2- site, S2- is bonded in a 2-coordinate geometry to two equivalent In3+ and three Pb2+ atoms. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In3+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the fifteenth S2- site, S2- is bonded to six In3+ atoms to form edge-sharing SIn6 octahedra. In the sixteenth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two Pb2+ atoms. In the seventeenth S2- site, S2- is bonded in a 1-coordinate geometry to one In3+ and four Pb2+ atoms. In the eighteenth S2- site, S2- is bonded in a 2-coordinate geometry to two equivalent In3+ and three Pb2+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ and two equivalent Pb2+ atoms. In the twentieth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two Pb2+ atoms. In the twenty-first S2- site, S2- is bonded to five In3+ and one Pb2+ atom to form distorted edge-sharing SIn5Pb square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mn3O4 by Materials Project

Mn3O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.67+ sites. In the first Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Mn–O bond distances ranging from 2.09–2.52 Å. In the second Mn+2.67+ site, Mn+2.67+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.88–1.90 Å. In the third Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Mn–O bond distances ranging from 2.09–2.47 Å. In the fourth Mn+2.67+ site, Mn+2.67+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.09–2.60 Å. In the fifth Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent MnO5 square pyramids, edges with four MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mn–O bond distances ranging from 2.09–2.40 Å. In the sixth Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 2.10–2.41 Å. In the seventh Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 2.08–2.52 Å. In the eighth Mn+2.67+ site, Mn+2.67+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.09–2.61 Å. In the ninth Mn+2.67+ site, Mn+2.67+ is bonded in a see-saw-like geometry to four O2- atoms. There is two shorter (1.88 Å) and two longer (1.89 Å) Mn–O bond length. In the tenth Mn+2.67+ site, Mn+2.67+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedral tilt angles are 3°. There are a spread of Mn–O bond distances ranging from 2.08–2.15 Å. In the eleventh Mn+2.67+ site, Mn+2.67+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.86–1.91 Å. In the twelfth Mn+2.67+ site, Mn+2.67+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.86–1.91 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Mn+2.67+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+2.67+ atoms. In the third O2- site, O2- is bonded in a square co-planar geometry to four Mn+2.67+ atoms. In the fourth O2- site, O2- is bonded in a square co-planar geometry to four Mn+2.67+ atoms. In the fifth O2- site, O2- is bonded to four Mn+2.67+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to four Mn+2.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to four Mn+2.67+ atoms. In the eighth O2- site, O2- is bonded to four Mn+2.67+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Mn+2.67+ atoms to form distorted corner-sharing OMn4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Mn+2.67+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Mn+2.67+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+2.67+ atoms. In the thirteenth O2- site, O2- is bonded to four Mn+2.67+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Mn+2.67+ atoms. In the fifteenth O2- site, O2- is bonded in a square co-planar geometry to four Mn+2.67+ atoms. In the sixteenth O2- site, O2- is bonded in a square co-planar geometry to four Mn+2.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb2Ni4O9 by Materials Project

Ni4Nb2O9 crystallizes in the orthorhombic Fdd2 space group. The structure is three-dimensional. there are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.32 Å. In the second Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.84–2.32 Å. In the third Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.34 Å. In the fourth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.35 Å. There are ten inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ni–O bond distances ranging from 2.00–2.24 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Ni–O bond distances ranging from 2.02–2.20 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ni–O bond distances ranging from 2.02–2.14 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ni–O bond distances ranging from 2.03–2.15 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Ni–O bond distances ranging from 2.02–2.20 Å. In the eighth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ni–O bond distances ranging from 2.01–2.13 Å. In the ninth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Ni–O bond distances ranging from 2.03–2.21 Å. In the tenth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ni–O bond distances ranging from 2.07–2.18 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with three ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the fourth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Nb5+ and three Ni2+ atoms. In the seventh O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with two ONbNi4 trigonal bipyramids, corners with three ONb2Ni2 trigonal pyramids, edges with three ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Nb5+ and three Ni2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the twelfth O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with two ONbNi4 trigonal bipyramids, corners with three ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Nb5+ and three Ni2+ atoms. In the fifteenth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with two ONbNi4 trigonal bipyramids, corners with three ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Nb5+ and three Ni2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi4Cl2O5 by Materials Project

Bi4O5Cl2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are twelve inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.38–2.73 Å. Both Bi–Cl bond lengths are 3.15 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to four O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.49 Å. Both Bi–Cl bond lengths are 3.07 Å. In the third Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.28–2.34 Å. There are two shorter (3.19 Å) and two longer (3.20 Å) Bi–Cl bond lengths. In the fourth Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to seven O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.34–2.94 Å. Both Bi–Cl bond lengths are 3.22 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.73 Å. Both Bi–Cl bond lengths are 3.08 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.33 Å. There are two shorter (3.13 Å) and two longer (3.18 Å) Bi–Cl bond lengths. In the seventh Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.25–2.85 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.19–2.45 Å. Both Bi–Cl bond lengths are 3.18 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.73 Å. Both Bi–Cl bond lengths are 3.23 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.24–2.33 Å. There are two shorter (3.09 Å) and two longer (3.20 Å) Bi–Cl bond lengths. In the eleventh Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- and four Cl1- atoms. There are two shorter (2.26 Å) and two longer (2.29 Å) Bi–O bond lengths. There are two shorter (3.25 Å) and two longer (3.34 Å) Bi–Cl bond lengths. In the twelfth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- and two equivalent Cl1- atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.85 Å. Both Bi–Cl bond lengths are 3.20 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the second O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the third O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the fourth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the fifth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the sixth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. In the seventh O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the eighth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the ninth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of edge and corner-sharing OBi4 tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to four Bi3+ atoms. In the fifteenth O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of distorted edge and corner-sharing OBi4 tetrahedra. There are six inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Bi3+ atoms. In the second Cl1- site, Cl1- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the third Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Bi3+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the fifth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nd10Se19 by Materials Project

Nd10Se19 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.00–3.26 Å. In the second Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.00–3.16 Å. In the third Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.00–3.15 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 2.99–3.22 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.00–3.16 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.04–3.20 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.02–3.21 Å. In the eighth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.02–3.20 Å. In the ninth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.03–3.20 Å. In the tenth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight Se+1.58- atoms. There are a spread of Nd–Se bond distances ranging from 3.00–3.14 Å. There are nineteen inequivalent Se+1.58- sites. In the first Se+1.58- site, Se+1.58- is bonded in a 7-coordinate geometry to four Nd3+ and one Se+1.58- atom. The Se–Se bond length is 2.73 Å. In the second Se+1.58- site, Se+1.58- is bonded in a 7-coordinate geometry to four Nd3+ and one Se+1.58- atom. The Se–Se bond length is 2.71 Å. In the third Se+1.58- site, Se+1.58- is bonded in a 8-coordinate geometry to four Nd3+ and four Se+1.58- atoms. There are a spread of Se–Se bond distances ranging from 2.86–3.10 Å. In the fourth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the fifth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the sixth Se+1.58- site, Se+1.58- is bonded in a 8-coordinate geometry to four Nd3+ and four Se+1.58- atoms. There are a spread of Se–Se bond distances ranging from 2.84–3.11 Å. In the seventh Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the eighth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the ninth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the tenth Se+1.58- site, Se+1.58- is bonded in a 4-coordinate geometry to four Nd3+ and one Se+1.58- atom. In the eleventh Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the twelfth Se+1.58- site, Se+1.58- is bonded in a 4-coordinate geometry to four Nd3+ and one Se+1.58- atom. In the thirteenth Se+1.58- site, Se+1.58- is bonded in a 5-coordinate geometry to four Nd3+ and two Se+1.58- atoms. The Se–Se bond length is 2.51 Å. In the fourteenth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the fifteenth Se+1.58- site, Se+1.58- is bonded in a 4-coordinate geometry to four Nd3+ atoms. In the sixteenth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the seventeenth Se+1.58- site, Se+1.58- is bonded in a 5-coordinate geometry to four Nd3+ and two Se+1.58- atoms. The Se–Se bond length is 2.51 Å. In the eighteenth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids. In the nineteenth Se+1.58- site, Se+1.58- is bonded to five Nd3+ atoms to form a mixture of distorted edge and corner-sharing SeNd5 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Lu2TiO5 by Materials Project

Lu2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.20–2.38 Å. In the second Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.15–2.47 Å. In the third Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.49 Å. In the fourth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.19–2.82 Å. In the fifth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.11–2.42 Å. In the sixth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.15–2.47 Å. In the seventh Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.10–2.32 Å. In the eighth Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with five TiO6 octahedra and edges with two equivalent LuO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Lu–O bond distances ranging from 2.20–2.27 Å. In the ninth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.12–2.40 Å. In the tenth Lu3+ site, Lu3+ is bonded to seven O2- atoms to form distorted LuO7 pentagonal bipyramids that share corners with two TiO6 octahedra, edges with two equivalent LuO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Lu–O bond distances ranging from 2.19–2.51 Å. In the eleventh Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.57 Å. In the twelfth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.16–2.51 Å. In the thirteenth Lu3+ site, Lu3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.09–2.44 Å. In the fourteenth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.13–2.47 Å. In the fifteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.16–2.55 Å. In the sixteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.78 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted corner-sharing TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 33°. There are a spread of Ti–O bond distances ranging from 1.81–2.09 Å. In the second Ti4+ site, Ti4+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.31 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LuO7 pentagonal bipyramid, and an edgeedge with one LuO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–61°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.30 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LuO6 octahedra, corners with two TiO6 octahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LuO7 pentagonal bipyramid, and an edgeedge with one LuO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–63°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.08 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form OLu2Ti2 tetrahedra that share corners with three OLu4 tetrahedra and an edgeedge with one OLu2Ti2 tetrahedra. In the second O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLu2Ti2 tetrahedra. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ atoms. In the fourth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with seven OLu3Ti tetrahedra, a cornercorner with one OLu3Ti trigonal pyramid, and edges with three OLu2Ti2 tetrahedra. In the fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form distorted OLu3Ti trigonal pyramids that share corners with eight OLu4 tetrahedra and edges with three OLu2Ti2 tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of distorted edge and corner-sharing OLu4 tetrahedra. In the eighth O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLu2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ atoms. In the tenth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with seven OLu4 tetrahedra and edges with three OLu2Ti2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Lu3+ atoms to form OLu4 tetrahedra that share corners with seven OLu3Ti tetrahedra, a cornercorner with one OLu3Ti trigonal pyramid, and edges with two OLu2Ti2 tetrahedra. In the twelfth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OLu3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Lu3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Lu3+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Lu3+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OLu3Ti tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Lu3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Lu3+ atoms. In the twenty-first O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of edge and corner-sharing OLu4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLu2Ti2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of edge and corner-sharing OLu4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OLu3Ti tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Lu3+ atoms to form distorted OLu4 tetrahedra that share corners with four OLu4 tetrahedra and edges with three OLu3Ti tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with five OLu3Ti tetrahedra, edges with three OLu4 tetrahedra, and an edgeedge with one OLu3Ti trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-second O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OLu3Ti tetrahedra. In the thirty-third O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with four OLu3Ti tetrahedra and an edgeedge with one OLu4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded to four Lu3+ atoms to form corner-sharing OLu4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Lu3+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LaZr9O20 by Materials Project

LaZr9O20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. La is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.41–2.43 Å. There are five inequivalent Zr sites. In the first Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.29 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.30 Å. In the third Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.29 Å. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.29 Å. In the fifth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.30 Å. There are ten inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to one La and three Zr atoms to form a mixture of edge and corner-sharing OLaZr3 tetrahedra. In the fourth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the fifth O site, O is bonded to one La and three Zr atoms to form a mixture of edge and corner-sharing OLaZr3 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to one La and three Zr atoms to form a mixture of edge and corner-sharing OLaZr3 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to one La and three Zr atoms to form a mixture of edge and corner-sharing OLaZr3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on NdZr9O20 by Materials Project

NdZr9O20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Nd is bonded in a body-centered cubic geometry to eight O atoms. There are two shorter (2.38 Å) and six longer (2.39 Å) Nd–O bond lengths. There are five inequivalent Zr sites. In the first Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.26 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.27 Å. In the third Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.21–2.27 Å. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.28 Å. In the fifth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.20–2.28 Å. There are ten inequivalent O sites. In the first O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the second O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the third O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra. In the fourth O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra. In the fifth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the sixth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra. In the eighth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the ninth O site, O is bonded to four Zr atoms to form a mixture of edge and corner-sharing OZr4 tetrahedra. In the tenth O site, O is bonded to one Nd and three Zr atoms to form a mixture of edge and corner-sharing ONdZr3 tetrahedra.

36 MATERIALS SCIENCE↗