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Materials Data on Ta22(CuS12)3 by Materials Project

Ta22(CuS12)3 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-two inequivalent Ta+3.14+ sites. In the first Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are three shorter (2.47 Å) and three longer (2.51 Å) Ta–S bond lengths. In the second Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.50 Å. In the third Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.51 Å. In the fourth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.44–2.53 Å. In the fifth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.45–2.50 Å. In the sixth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the seventh Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Ta–S bond distances ranging from 2.47–2.55 Å. In the eighth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are a spread of Ta–S bond distances ranging from 2.46–2.52 Å. In the ninth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.47–2.58 Å. In the tenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ta–S bond distances ranging from 2.46–2.56 Å. In the eleventh Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ta–S bond distances ranging from 2.47–2.51 Å. In the twelfth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.46–2.65 Å. In the thirteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.46–2.58 Å. In the fourteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.44–2.53 Å. In the fifteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ta–S bond distances ranging from 2.47–2.57 Å. In the sixteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ta–S bond distances ranging from 2.47–2.57 Å. In the seventeenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.47–2.58 Å. In the eighteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing TaS6 octahedra. There are a spread of Ta–S bond distances ranging from 2.46–2.65 Å. In the nineteenth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.45–2.53 Å. In the twentieth Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ta–S bond distances ranging from 2.46–2.58 Å. In the twenty-first Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge, face, and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ta–S bond distances ranging from 2.45–2.56 Å. In the twenty-second Ta+3.14+ site, Ta+3.14+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing TaS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Ta–S bond distances ranging from 2.47–2.54 Å. There are three inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.23–2.35 Å. In the second Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are one shorter (2.21 Å) and three longer (2.35 Å) Cu–S bond lengths. In the third Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.22–2.36 Å. There are thirty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to three Ta+3.14+ and three Cu1+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to three Ta+3.14+ and three Cu1+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to three Ta+3.14+ and two equivalent Cu1+ atoms. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ta+3.14+ and one Cu1+ atom. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the sixteenth S2- site, S2- is bonded to four Ta+3.14+ atoms to form distorted STa4 trigonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, corners with two equivalent STa4 trigonal pyramids, and edges with two equivalent STa6 pentagonal pyramids. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twentieth S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, edges with six STa6 pentagonal pyramids, and edges with two equivalent STa4 trigonal pyramids. In the twenty-first S2- site, S2- is bonded in a 5-coordinate geometry to five Ta+3.14+ atoms. In the twenty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Ta+3.14+ atoms. In the twenty-third S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twenty-fourth S2- site, S2- is bonded to six Ta+3.14+ atoms to form a mixture of distorted edge and corner-sharing STa6 pentagonal pyramids. In the twenty-fifth S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share corners with two equivalent STa6 pentagonal pyramids, a cornercorner with one STa4 trigonal pyramid, and edges with seven STa6 pentagonal pyramids. In the twenty-sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twenty-seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the twenty-eighth S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share corners with two equivalent STa6 pentagonal pyramids, a cornercorner with one STa4 trigonal pyramid, and edges with seven STa6 pentagonal pyramids. In the twenty-ninth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry to five Ta+3.14+ atoms. In the thirty-first S2- site, S2- is bonded to six Ta+3.14+ atoms to form distorted STa6 pentagonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, edges with six STa6 pentagonal pyramids, and edges with two equivalent STa4 trigonal pyramids. In the thirty-second S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms. In the thirty-third S2- site, S2- is bonded to four Ta+3.14+ atoms to form distorted STa4 trigonal pyramids that share a cornercorner with one STa6 pentagonal pyramid, corners with two equivalent STa4 trigonal pyramids, and edges with two equivalent STa6 pentagonal pyramids. In the thirty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Ta+3.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb24(CuS8)5 by Materials Project

Nb24(CuS8)5 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-four inequivalent Nb+3.12+ sites. In the first Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Nb–S bond distances ranging from 2.48–2.52 Å. In the second Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.53 Å. In the third Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.52 Å. In the fourth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.51 Å. In the fifth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.54 Å. In the sixth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.54 Å. In the seventh Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.50 Å. In the eighth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.52 Å. In the ninth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–S bond distances ranging from 2.49–2.54 Å. In the tenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form distorted edge-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.48–2.53 Å. In the eleventh Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Nb–S bond distances ranging from 2.48–2.57 Å. In the twelfth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Nb–S bond distances ranging from 2.49–2.52 Å. In the thirteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.47–2.60 Å. In the fourteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the fifteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 41–45°. There are a spread of Nb–S bond distances ranging from 2.50–2.55 Å. In the sixteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.47–2.64 Å. In the seventeenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.47–2.64 Å. In the eighteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the nineteenth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the twentieth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.48–2.59 Å. In the twenty-first Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 42–45°. There are a spread of Nb–S bond distances ranging from 2.48–2.52 Å. In the twenty-second Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the twenty-third Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted face, edge, and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Nb–S bond distances ranging from 2.48–2.57 Å. In the twenty-fourth Nb+3.12+ site, Nb+3.12+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–S bond distances ranging from 2.48–2.56 Å. There are five inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–2.35 Å. In the second Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.24–2.34 Å. In the third Cu1+ site, Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.23–2.34 Å. In the fourth Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.20–2.34 Å. In the fifth Cu1+ site, Cu1+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of Cu–S bond distances ranging from 2.22–2.35 Å. There are forty inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the twelfth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the sixteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.12+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the twentieth S2- site, S2- is bonded to four Nb+3.12+ atoms to form distorted SNb4 trigonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, corners with two equivalent SNb4 trigonal pyramids, and edges with two equivalent SNb6 pentagonal pyramids. In the twenty-first S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the twenty-second S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to three Nb+3.12+ and two equivalent Cu1+ atoms. In the twenty-fourth S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, edges with six SNb6 pentagonal pyramids, and edges with two equivalent SNb4 trigonal pyramids. In the twenty-fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Nb+3.12+ atoms. In the twenty-sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the twenty-seventh S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the twenty-eighth S2- site, S2- is bonded to six Nb+3.12+ atoms to form a mixture of distorted edge and corner-sharing SNb6 pentagonal pyramids. In the twenty-ninth S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share corners with two equivalent SNb6 pentagonal pyramids, a cornercorner with one SNb4 trigonal pyramid, and edges with seven SNb6 pentagonal pyramids. In the thirtieth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the thirty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the thirty-second S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share corners with two equivalent SNb6 pentagonal pyramids, a cornercorner with one SNb4 trigonal pyramid, and edges with seven SNb6 pentagonal pyramids. In the thirty-third S2- site, S2- is bonded to six Nb+3.12+ atoms to form a mixture of distorted edge and corner-sharing SNb6 pentagonal pyramids. In the thirty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.12+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 6-coordinate geometry to three Nb+3.12+ and three Cu1+ atoms. In the thirty-sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Nb+3.12+ atoms. In the thirty-seventh S2- site, S2- is bonded to six Nb+3.12+ atoms to form distorted SNb6 pentagonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, edges with six SNb6 pentagonal pyramids, and edges with two equivalent SNb4 trigonal pyramids. In the thirty-eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Nb+3.12+ and one Cu1+ atom. In the thirty-ninth S2- site, S2- is bonded to four Nb+3.12+ atoms to form distorted SNb4 trigonal pyramids that share a cornercorner with one SNb6 pentagonal pyramid, corners with two equivalent SNb4 trigonal pyramids, and edges with two equivalent SNb6 pentagonal pyramids. In the fortieth S2- site, S2- is bonded in a distorted rectangu

36 MATERIALS SCIENCE↗

Materials Data on BaNa5Ca7P6(O8F)3 by Materials Project

Na5BaCa7P6(O8F)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.89 Å. There are one shorter (2.32 Å) and one longer (2.69 Å) Na–F bond lengths. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.89 Å. There are one shorter (2.28 Å) and one longer (2.69 Å) Na–F bond lengths. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.89 Å. There are one shorter (2.30 Å) and one longer (2.64 Å) Na–F bond lengths. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. There are one shorter (2.28 Å) and one longer (2.59 Å) Na–F bond lengths. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.82 Å. There are one shorter (2.33 Å) and one longer (2.63 Å) Na–F bond lengths. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.81 Å. There are one shorter (2.31 Å) and one longer (2.62 Å) Na–F bond lengths. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.91 Å. There are one shorter (2.30 Å) and one longer (2.65 Å) Na–F bond lengths. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.81 Å. There are one shorter (2.32 Å) and one longer (2.61 Å) Na–F bond lengths. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.90 Å. There are one shorter (2.32 Å) and one longer (2.71 Å) Na–F bond lengths. In the tenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.90 Å. There are one shorter (2.31 Å) and one longer (2.71 Å) Na–F bond lengths. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.86 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.86 Å. There are fourteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.39–2.50 Å. The Ca–F bond length is 2.47 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.39–2.48 Å. The Ca–F bond length is 2.42 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.36–2.48 Å. The Ca–F bond length is 2.42 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.81 Å. There are one shorter (2.23 Å) and one longer (2.59 Å) Ca–F bond lengths. In the fifth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.52 Å. The Ca–F bond length is 2.38 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.50 Å. The Ca–F bond length is 2.37 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.50 Å. The Ca–F bond length is 2.38 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.52 Å. The Ca–F bond length is 2.38 Å. In the ninth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.50 Å. The Ca–F bond length is 2.37 Å. In the tenth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.52 Å. The Ca–F bond length is 2.38 Å. In the eleventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.79 Å. There are one shorter (2.23 Å) and one longer (2.56 Å) Ca–F bond lengths. In the twelfth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.48 Å. The Ca–F bond length is 2.42 Å. In the thirteenth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.38–2.51 Å. The Ca–F bond length is 2.48 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.48 Å. The Ca–F bond length is 2.41 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+, one Ca2+, and one P5+ atom to form ONa2CaP tetrahedra that share corners with six FNa2Ca4 octahedra. The corner-sharing octahedra tilt angles range from 12–62°. In the second O2- site, O2- is bonded to three Ca2+ and one P5+ atom to form distorted OCa3P tetrahedra that share corners with two equivalent FNa3Ca3 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Ca2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Ca2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Ca2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ca2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Ca2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Ca2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the tenth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form ONa3P tetrahedra that share corners wit

36 MATERIALS SCIENCE↗

Materials Data on La4Mn5Co(PbO9)2 by Materials Project

La4Mn5Co(PbO9)2 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with two equivalent LaO12 cuboctahedra, corners with ten PbO12 cuboctahedra, faces with two equivalent CoO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.50–2.97 Å. In the second La3+ site, La3+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.80 Å. In the third La3+ site, La3+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.79 Å. In the fourth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.85 Å. There are five inequivalent Mn+3.20+ sites. In the first Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with three PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the second Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with three PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. In the third Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with two PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 10–20°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the fourth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with three PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Mn–O bond distances ranging from 1.96–2.00 Å. In the fifth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with three PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–20°. There are a spread of Mn–O bond distances ranging from 1.97–2.01 Å. Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six MnO6 octahedra, faces with two equivalent LaO12 cuboctahedra, and faces with two PbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Co–O bond distances ranging from 1.98–2.05 Å. There are two inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to twelve O2- atoms to form distorted PbO12 cuboctahedra that share corners with five equivalent LaO12 cuboctahedra, corners with seven PbO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven MnO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.59–3.03 Å. In the second Pb2+ site, Pb2+ is bonded to twelve O2- atoms to form distorted PbO12 cuboctahedra that share corners with five equivalent LaO12 cuboctahedra, corners with seven PbO12 cuboctahedra, a faceface with one CoO6 octahedra, and faces with seven MnO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.57–3.10 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, two Mn+3.20+, and two Pb2+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, two Mn+3.20+, and two equivalent Pb2+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, two Mn+3.20+, and one Pb2+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, two Mn+3.20+, and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, two Mn+3.20+, and two Pb2+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three La3+, two Mn+3.20+, and one Pb2+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one La3+, two Mn+3.20+, and two equivalent Pb2+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, one Mn+3.20+, one Co4+, and one Pb2+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to three La3+, two Mn+3.20+, and one Pb2+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, one Mn+3.20+, one Co4+, and one Pb2+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, two Mn+3.20+, and two Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+, one Mn+3.20+, one Co4+, and two Pb2+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Mn+3.20+, and one Co4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three La3+, one Mn+3.20+, one Co4+, and one Pb2+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+, two Mn+3.20+, and one Pb2+ atom. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Mn+3.20+, one Co4+, and one Pb2+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, two Mn+3.20+, and one Pb2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to three La3+, two Mn+3.20+, and one Pb2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr15Pd5O24 by Materials Project

Sr15Pd5O24 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are nine inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–2.77 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.58–2.86 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–2.78 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–2.76 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–2.78 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.48 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.47 Å) and two longer (2.49 Å) Sr–O bond lengths. In the eighth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–2.84 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–2.77 Å. There are three inequivalent Pd+3.60+ sites. In the first Pd+3.60+ site, Pd+3.60+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Pd–O bond distances ranging from 2.05–2.08 Å. In the second Pd+3.60+ site, Pd+3.60+ is bonded in an octahedral geometry to six O2- atoms. There are three shorter (2.08 Å) and three longer (2.09 Å) Pd–O bond lengths. In the third Pd+3.60+ site, Pd+3.60+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (2.35 Å) and four longer (2.39 Å) Pd–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the second O2- site, O2- is bonded to four Sr2+ and two Pd+3.60+ atoms to form distorted OSr4Pd2 octahedra that share corners with fifteen OSr4Pd2 octahedra, edges with four OSr5Pd octahedra, and faces with five OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 2–65°. In the third O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form distorted OSr5Pd octahedra that share corners with fifteen OSr5Pd octahedra, edges with four OSr5Pd octahedra, and faces with five OSr4Pd2 octahedra. The corner-sharing octahedra tilt angles range from 2–65°. In the fourth O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the fifth O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the sixth O2- site, O2- is bonded to four Sr2+ and two Pd+3.60+ atoms to form distorted OSr4Pd2 octahedra that share corners with fifteen OSr4Pd2 octahedra, edges with four OSr5Pd octahedra, and faces with five OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 2–64°. In the seventh O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the eighth O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 2–65°. In the ninth O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 0–64°. In the tenth O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 2–66°. In the eleventh O2- site, O2- is bonded to four Sr2+ and two Pd+3.60+ atoms to form distorted OSr4Pd2 octahedra that share corners with fifteen OSr5Pd octahedra, edges with four OSr5Pd octahedra, and faces with five OSr4Pd2 octahedra. The corner-sharing octahedra tilt angles range from 2–65°. In the twelfth O2- site, O2- is bonded to five Sr2+ and one Pd+3.60+ atom to form a mixture of distorted face, edge, and corner-sharing OSr5Pd octahedra. The corner-sharing octahedra tilt angles range from 0–64°.

36 MATERIALS SCIENCE↗

Materials Data on Li3CuF6 by Materials Project

Li3CuF6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a square co-planar geometry to four F1- atoms. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–F bond length. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six CuF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are two shorter (2.01 Å) and four longer (2.02 Å) Li–F bond lengths. In the third Li1+ site, Li1+ is bonded to twelve F1- atoms to form LiF12 cuboctahedra that share faces with four LiF6 octahedra and faces with four CuF6 octahedra. There are three shorter (2.62 Å) and nine longer (2.63 Å) Li–F bond lengths. In the fourth Li1+ site, Li1+ is bonded in a square co-planar geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.97–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six CuF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedral tilt angles are 39°. There are two shorter (2.01 Å) and four longer (2.02 Å) Li–F bond lengths. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six CuF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedral tilt angles are 39°. There are one shorter (2.01 Å) and five longer (2.02 Å) Li–F bond lengths. In the seventh Li1+ site, Li1+ is bonded in a square co-planar geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.97–1.99 Å. In the eighth Li1+ site, Li1+ is bonded in a square co-planar geometry to four F1- atoms. There is one shorter (1.97 Å) and three longer (1.98 Å) Li–F bond length. In the ninth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six CuF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Li–F bond distances ranging from 2.01–2.03 Å. In the tenth Li1+ site, Li1+ is bonded to twelve F1- atoms to form LiF12 cuboctahedra that share faces with four LiF6 octahedra and faces with four CuF6 octahedra. There are four shorter (2.62 Å) and eight longer (2.63 Å) Li–F bond lengths. In the eleventh Li1+ site, Li1+ is bonded in a square co-planar geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.97–1.99 Å. In the twelfth Li1+ site, Li1+ is bonded in a square co-planar geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.97–1.99 Å. There are four inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with six LiF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedral tilt angles are 39°. All Cu–F bond lengths are 1.92 Å. In the second Cu3+ site, Cu3+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with six LiF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedral tilt angles are 39°. All Cu–F bond lengths are 1.92 Å. In the third Cu3+ site, Cu3+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with six LiF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedral tilt angles are 39°. All Cu–F bond lengths are 1.92 Å. In the fourth Cu3+ site, Cu3+ is bonded to six F1- atoms to form CuF6 octahedra that share corners with six LiF6 octahedra and faces with two LiF12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. All Cu–F bond lengths are 1.92 Å. There are twenty-four inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the fourteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the nineteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the twentieth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the twenty-first F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the twenty-second F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the twenty-third F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom. In the twenty-fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Cu3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2CrO3 by Materials Project

Li2CrO3 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Li–O bond distances ranging from 2.02–2.17 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 2.10–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.03–2.16 Å. There are four inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn3CrO12 by Materials Project

Li8CrMn3O12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Li–O bond distances ranging from 2.04–2.13 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.10–2.18 Å. Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Cr–O bond distances ranging from 1.88–2.02 Å. There are three inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr5+, and one Mn+3.67+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr5+, and one Mn+3.67+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4La5Ti6Nb2O26 by Materials Project

Li4La5Ti6Nb2O26 crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.64 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.81 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, faces with five LaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.66–2.79 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with eight LaO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.66–2.79 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Ti–O bond distances ranging from 1.95–1.98 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with four LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Ti–O bond distances ranging from 1.80–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Ti–O bond distances ranging from 1.93–1.99 Å. Nb+4.50+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five TiO6 octahedra and faces with four LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Nb–O bond distances ranging from 1.87–2.18 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Ti4+ atoms. In the second O2- site, O2- is bonded to four equivalent Li1+ and one Ti4+ atom to form distorted OLi4Ti trigonal bipyramids that share corners with four equivalent OLi4Nb square pyramids, edges with two equivalent OLi4Nb square pyramids, and edges with two equivalent OLi4Ti trigonal bipyramids. In the third O2- site, O2- is bonded in a distorted linear geometry to three La3+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two La3+, one Ti4+, and one Nb+4.50+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two equivalent La3+ and two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent La3+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded to four equivalent Li1+ and one Nb+4.50+ atom to form distorted OLi4Nb square pyramids that share corners with four equivalent OLi4Ti trigonal bipyramids, edges with two equivalent OLi4Nb square pyramids, and edges with two equivalent OLi4Ti trigonal bipyramids. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Ti4+, and one Nb+4.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8MnCr3O12 by Materials Project

Li8Cr3MnO12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Li–O bond distances ranging from 2.04–2.17 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.05–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. There are three inequivalent Cr+4.67+ sites. In the first Cr+4.67+ site, Cr+4.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Cr–O bond distances ranging from 1.90–2.06 Å. In the second Cr+4.67+ site, Cr+4.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the third Cr+4.67+ site, Cr+4.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr+4.67+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr+4.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr+4.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr+4.67+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn(FeO4)3 by Materials Project

Li8Mn(FeO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent FeO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Li–O bond distances ranging from 2.08–2.12 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Fe–O bond distances ranging from 1.94–2.00 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn7+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLi4MnFe pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn7+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Fe3+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Fe3+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn7+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Fe3+ atoms to form a mixture of distorted edge and corner-sharing OLi4Fe2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Cr3TeO12 by Materials Project

Li8Cr3TeO12 is beta Sn-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are four shorter (2.09 Å) and two longer (2.16 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TeO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent TeO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent TeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Li–O bond distances ranging from 2.01–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one TeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one TeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent TeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Li–O bond distances ranging from 2.06–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. There are three inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Cr–O bond distances ranging from 1.95–2.00 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Cr–O bond distances ranging from 1.98–2.15 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent TeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of Cr–O bond distances ranging from 1.98–2.10 Å. Te4+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Te–O bond distances ranging from 1.94–1.98 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr4+, and one Te4+ atom to form a mixture of distorted edge and corner-sharing OLi4CrTe pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr4+, and one Te4+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr4+, and one Te4+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8TiMn3O12 by Materials Project

Li8TiMn3O12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Li–O bond distances ranging from 2.05–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent TiO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Li–O bond distances ranging from 2.13–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Li–O bond distances ranging from 2.03–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent TiO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. There are three inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There is four shorter (1.94 Å) and two longer (1.96 Å) Mn–O bond length. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Ti4+, and one Mn4+ atom to form a mixture of distorted edge and corner-sharing OLi4TiMn pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Mn4+ atom to form a mixture of distorted edge and corner-sharing OLi4TiMn pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Cr(FeO4)3 by Materials Project

Li8Cr(FeO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent FeO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are four shorter (2.09 Å) and two longer (2.12 Å) Li–O bond lengths. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent FeO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.09–2.13 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.08–2.11 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Cr–O bond distances ranging from 1.93–1.96 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.04 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. There are six inequivalent O sites. In the first O site, O is bonded to four Li, one Cr, and one Fe atom to form a mixture of distorted corner and edge-sharing OLi4CrFe pentagonal pyramids. In the second O site, O is bonded to four Li and two Fe atoms to form a mixture of distorted corner and edge-sharing OLi4Fe2 pentagonal pyramids. In the third O site, O is bonded in a 6-coordinate geometry to four Li, one Cr, and one Fe atom. In the fourth O site, O is bonded to four Li, one Cr, and one Fe atom to form distorted OLi4CrFe pentagonal pyramids that share corners with six OLi4Fe2 pentagonal pyramids and edges with eight OLi4CrFe pentagonal pyramids. In the fifth O site, O is bonded to four Li and two Fe atoms to form distorted OLi4Fe2 pentagonal pyramids that share corners with six OLi4Fe2 pentagonal pyramids and edges with twelve OLi4CrFe pentagonal pyramids. In the sixth O site, O is bonded to four Li and two Fe atoms to form a mixture of distorted corner and edge-sharing OLi4Fe2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on SrCrO3 by Materials Project

SrCrO3 is (Cubic) Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight CrO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.75–2.84 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, corners with six CrO6 octahedra, faces with eight SrO12 cuboctahedra, and faces with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Sr–O bond distances ranging from 2.74–2.91 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with six equivalent SrO12 cuboctahedra, corners with six CrO6 octahedra, faces with eight SrO12 cuboctahedra, and faces with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Sr–O bond distances ranging from 2.74–2.91 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight CrO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.75–2.83 Å. There are four inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent SrO12 cuboctahedra, corners with three equivalent CrO6 octahedra, faces with seven SrO12 cuboctahedra, and a faceface with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Cr–O bond distances ranging from 1.86–1.99 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent SrO12 cuboctahedra, corners with three equivalent CrO6 octahedra, faces with seven SrO12 cuboctahedra, and a faceface with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Cr–O bond distances ranging from 1.87–1.99 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent SrO12 cuboctahedra, corners with three equivalent CrO6 octahedra, faces with seven SrO12 cuboctahedra, and a faceface with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Cr–O bond distances ranging from 1.87–1.98 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent SrO12 cuboctahedra, corners with three equivalent CrO6 octahedra, faces with seven SrO12 cuboctahedra, and a faceface with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Cr–O bond distances ranging from 1.87–1.99 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Cr4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Cr4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Cr4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Cr4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Cr4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Cr4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Cr4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Cr4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Cr4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Cr4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Cr4+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Cr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2La3Ti2Nb2O13 by Materials Project

Li2La3Ti2Nb2O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.69 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.69 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.89 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with eight LaO12 cuboctahedra, faces with five LaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent NbO6 octahedra. There are a spread of La–O bond distances ranging from 2.61–2.93 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with eight LaO12 cuboctahedra, faces with five LaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent NbO6 octahedra. There are a spread of La–O bond distances ranging from 2.63–2.93 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with five TiO6 octahedra, and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are two inequivalent Nb+3.50+ sites. In the first Nb+3.50+ site, Nb+3.50+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with four equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Nb–O bond distances ranging from 1.91–2.12 Å. In the second Nb+3.50+ site, Nb+3.50+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four equivalent NbO6 octahedra, and faces with four equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Nb–O bond distances ranging from 1.91–2.13 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+, one Ti4+, and one Nb+3.50+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two equivalent La3+, and two equivalent Nb+3.50+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two equivalent La3+, and two equivalent Nb+3.50+ atoms. In the seventh O2- site, O2- is bonded to four Li1+ and one Nb+3.50+ atom to form a mixture of distorted edge and corner-sharing OLi4Nb trigonal bipyramids. In the eighth O2- site, O2- is bonded to four Li1+ and one Nb+3.50+ atom to form a mixture of distorted edge and corner-sharing OLi4Nb trigonal bipyramids. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two equivalent La3+, and two equivalent Nb+3.50+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two equivalent La3+, and two equivalent Nb+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+, one Ti4+, and one Nb+3.50+ atom. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba5V5O14 by Materials Project

Ba5V5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with three equivalent BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ba–O bond distances ranging from 2.88–3.16 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.24 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ba–O bond distances ranging from 2.85–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.15 Å. In the fifth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.05 Å. In the sixth Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.00 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.30 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.04 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.85–3.33 Å. In the tenth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent VO6 octahedra, faces with three equivalent BaO12 cuboctahedra, faces with six VO6 octahedra, and a faceface with one VO5 square pyramid. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Ba–O bond distances ranging from 2.85–3.29 Å. There are ten inequivalent V+3.60+ sites. In the first V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 trigonal bipyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 trigonal bipyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of V–O bond distances ranging from 1.93–2.26 Å. In the second V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 1.98–2.09 Å. In the third V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.86–2.06 Å. In the fourth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 trigonal bipyramids, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.20 Å. In the fifth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share faces with six BaO12 cuboctahedra and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the sixth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent VO5 square pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.10 Å. In the seventh V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent VO5 square pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.85–2.06 Å. In the eighth V+3.60+ site, V+3.60+ is bonded to six O2- atoms to form VO6 octahedra that share faces with three equivalent BaO12 cuboctahedra and faces with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the ninth V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share corners with three equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–19°. There are a spread of V–O bond distances ranging from 1.76–2.00 Å. In the tenth V+3.60+ site, V+3.60+ is bonded to five O2- atoms to form VO5 trigonal bipyramids that share corners with three equivalent VO6 octahedra and corners with two equivalent VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of V–O bond distances ranging from 1.85–2.20 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two V+3.60+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two V+3.60+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two V+3.60+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Sc by Materials Project

Mg5Sc is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with six equivalent ScMg10Sc2 cuboctahedra, edges with twelve MgMg10Sc2 cuboctahedra, faces with three equivalent ScMg10Sc2 cuboctahedra, and faces with seventeen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.18–3.24 Å. Both Mg–Sc bond lengths are 3.18 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent ScMg10Sc2 cuboctahedra, corners with twelve MgMg10Sc2 cuboctahedra, edges with three equivalent ScMg10Sc2 cuboctahedra, edges with fifteen MgMg10Sc2 cuboctahedra, faces with three equivalent ScMg10Sc2 cuboctahedra, and faces with seventeen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.21 Å. Both Mg–Sc bond lengths are 3.19 Å. In the third Mg site, Mg is bonded to eleven Mg and one Sc atom to form MgMg11Sc cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg10Sc2 cuboctahedra, edges with fourteen MgMg10Sc2 cuboctahedra, faces with four equivalent ScMg10Sc2 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.20–3.23 Å. The Mg–Sc bond length is 3.18 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent ScMg10Sc2 cuboctahedra, corners with twelve MgMg10Sc2 cuboctahedra, edges with three equivalent ScMg10Sc2 cuboctahedra, edges with fifteen MgMg10Sc2 cuboctahedra, faces with three equivalent ScMg10Sc2 cuboctahedra, and faces with seventeen MgMg10Sc2 cuboctahedra. There are two shorter (3.19 Å) and two longer (3.20 Å) Mg–Mg bond lengths. Both Mg–Sc bond lengths are 3.24 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Sc atoms to form MgMg9Sc3 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with two equivalent ScMg10Sc2 cuboctahedra, edges with sixteen MgMg10Sc2 cuboctahedra, faces with five equivalent ScMg10Sc2 cuboctahedra, and faces with fifteen MgMg10Sc2 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. There are two shorter (3.22 Å) and one longer (3.23 Å) Mg–Sc bond lengths. Sc is bonded to ten Mg and two equivalent Sc atoms to form ScMg10Sc2 cuboctahedra that share corners with six equivalent ScMg10Sc2 cuboctahedra, corners with twelve MgMg10Sc2 cuboctahedra, edges with eighteen MgMg10Sc2 cuboctahedra, faces with two equivalent ScMg10Sc2 cuboctahedra, and faces with eighteen MgMg10Sc2 cuboctahedra. Both Sc–Sc bond lengths are 3.20 Å.

36 MATERIALS SCIENCE↗