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Materials Data on Tl3(V3S4)8 by Materials Project

Tl3(V3S4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent V+2.54+ sites. In the first V+2.54+ site, V+2.54+ is bonded in a distorted rectangular see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.29–2.37 Å. In the second V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.20–2.38 Å. In the third V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with three VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, and faces with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 35–36°. There are a spread of V–S bond distances ranging from 2.36–2.61 Å. In the fourth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form VS5 trigonal bipyramids that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of V–S bond distances ranging from 2.27–2.48 Å. In the fifth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with three VS6 octahedra, corners with three VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–58°. There are a spread of V–S bond distances ranging from 2.37–2.64 Å. In the sixth V+2.54+ site, V+2.54+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of V–S bond distances ranging from 2.26–2.96 Å. In the seventh V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with four VS5 trigonal bipyramids, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–36°. There are a spread of V–S bond distances ranging from 2.37–2.58 Å. In the eighth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with five VS6 octahedra, corners with three VS5 trigonal bipyramids, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of V–S bond distances ranging from 2.26–2.43 Å. In the ninth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, edges with two VS5 trigonal bipyramids, and a faceface with one VS6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–S bond distances ranging from 2.29–2.49 Å. In the tenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with three VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, an edgeedge with one VS5 trigonal bipyramid, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of V–S bond distances ranging from 2.31–2.41 Å. In the eleventh V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share corners with three VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, edges with two VS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–39°. There are a spread of V–S bond distances ranging from 2.31–2.57 Å. In the twelfth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form distorted VS5 trigonal bipyramids that share a cornercorner with one VS6 octahedra, corners with four VS5 trigonal bipyramids, edges with two VS6 octahedra, and an edgeedge with one VS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of V–S bond distances ranging from 2.25–2.49 Å. In the thirteenth V+2.54+ site, V+2.54+ is bonded in a distorted see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.24–2.47 Å. In the fourteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with two VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, edges with two VS5 trigonal bipyramids, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–25°. There are a spread of V–S bond distances ranging from 2.44–2.67 Å. In the fifteenth V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.33–2.43 Å. In the sixteenth V+2.54+ site, V+2.54+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of V–S bond distances ranging from 2.31–2.49 Å. In the seventeenth V+2.54+ site, V+2.54+ is bonded to five S2- atoms to form a mixture of face and corner-sharing VS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of V–S bond distances ranging from 2.30–2.45 Å. In the eighteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of V–S bond distances ranging from 2.27–2.81 Å. In the nineteenth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, and faces with two VS6 octahedra. The corner-sharing octahedra tilt angles range from 40–59°. There are a spread of V–S bond distances ranging from 2.36–3.05 Å. In the twentieth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form VS6 octahedra that share corners with five VS6 octahedra, a cornercorner with one VS5 trigonal bipyramid, edges with two VS5 trigonal bipyramids, and a faceface with one VS5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 17–57°. There are a spread of V–S bond distances ranging from 2.34–2.57 Å. In the twenty-first V+2.54+ site, V+2.54+ is bonded in a distorted see-saw-like geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.36–2.66 Å. In the twenty-second V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with four VS6 octahedra, corners with two VS5 trigonal bipyramids, an edgeedge with one VS6 octahedra, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 35–45°. There are a spread of V–S bond distances ranging from 2.37–2.90 Å. In the twenty-third V+2.54+ site, V+2.54+ is bonded in a 4-coordinate geometry to four S2- atoms. There are a spread of V–S bond distances ranging from 2.27–2.50 Å. In the twenty-fourth V+2.54+ site, V+2.54+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with two VS6 octahedra, corners with three VS5 trigonal bipyramids, and faces with three VS6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of V–S bond distances ranging from 2.35–2.59 Å. There are three inequivalent Tl1+ sites. In the first Tl1+ site, Tl1+ is bonded in a 2-coordinate geometry to four S2- atoms. There are a spread of Tl–S bond distances ranging from 2.79–3.23 Å. In the second Tl1+ site, Tl1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Tl–S bond distances ranging from 2.97–3.37 Å. In the third Tl1+ site, Tl1+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Tl–S bond distances ranging from 2.88–3.26 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted pentagonal planar geometry to five V+2.54+ atoms. In the second S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the third S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to four V+2.54+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the sixth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the seventh S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the ninth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the tenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the eleventh S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four V+2.54+ atoms. In the fourteenth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to five V+2.54+ and one Tl1+ atom. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the eighteenth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the nineteenth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to three V+2.54+ atoms. In the twenty-first S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-second S2- site, S2- is bonded in a 2-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to five V+2.54+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-fifth S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to four V+2.54+ atoms. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three V+2.54+ and one Tl1+ atom. In the twenty-seventh S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the twenty-eighth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to four V+2.54+ atoms. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry to five V+2.54+ atoms. In the thirty-first S2- site, S2- is bonded in a 2-coordinate geometry to four V+2.54+ and one Tl1+ atom. In the thirty-second S2- site, S2- is bonded in a distorted pentagonal planar geometry to five V+2.54+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sc10Mn17S32 by Materials Project

Sc10Mn17S32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent MnS6 octahedra, a cornercorner with one MnS4 tetrahedra, corners with two equivalent MnS4 trigonal pyramids, edges with three MnS6 octahedra, and edges with four ScS6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Sc–S bond distances ranging from 2.54–2.65 Å. In the second Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent ScS6 octahedra, a cornercorner with one MnS4 tetrahedra, corners with two equivalent MnS4 trigonal pyramids, edges with three ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Sc–S bond distances ranging from 2.47–2.76 Å. In the third Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent MnS4 tetrahedra, edges with two MnS6 octahedra, and edges with four ScS6 octahedra. There are a spread of Sc–S bond distances ranging from 2.49–2.62 Å. In the fourth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, an edgeedge with one ScS6 octahedra, edges with seven MnS6 octahedra, and a faceface with one MnS4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.52–2.73 Å. In the fifth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, edges with eight MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.53–2.73 Å. In the sixth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, corners with two equivalent MnS4 tetrahedra, a cornercorner with one MnS4 trigonal pyramid, and edges with eight MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.55–2.65 Å. In the seventh Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, corners with three MnS4 tetrahedra, and edges with eight MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Sc–S bond distances ranging from 2.56–2.64 Å. In the eighth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with six ScS6 octahedra, an edgeedge with one ScS6 octahedra, edges with seven MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Sc–S bond distances ranging from 2.50–2.74 Å. In the ninth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent MnS6 octahedra, corners with three MnS4 tetrahedra, edges with three MnS6 octahedra, and edges with four ScS6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Sc–S bond distances ranging from 2.53–2.66 Å. In the tenth Sc3+ site, Sc3+ is bonded to six S2- atoms to form ScS6 octahedra that share corners with three equivalent ScS6 octahedra, corners with three MnS4 tetrahedra, edges with three ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Sc–S bond distances ranging from 2.52–2.72 Å. There are seventeen inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Mn–S bond distances ranging from 2.40–2.95 Å. In the second Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share a cornercorner with one MnS4 tetrahedra, corners with two equivalent MnS4 trigonal pyramids, edges with two MnS6 octahedra, and edges with six ScS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.35–2.71 Å. In the third Mn2+ site, Mn2+ is bonded to six S2- atoms to form distorted MnS6 octahedra that share corners with three equivalent ScS6 octahedra, corners with three equivalent MnS6 octahedra, edges with four ScS6 octahedra, edges with four MnS6 octahedra, and a faceface with one MnS4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Mn–S bond distances ranging from 2.45–2.95 Å. In the fourth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with six MnS6 octahedra, corners with two equivalent MnS4 tetrahedra, a cornercorner with one MnS4 trigonal pyramid, edges with four ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–S bond distances ranging from 2.49–2.65 Å. In the fifth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three equivalent MnS4 trigonal pyramids, edges with five ScS6 octahedra, and edges with five MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.40–2.70 Å. In the sixth Mn2+ site, Mn2+ is bonded to six S2- atoms to form distorted MnS6 octahedra that share corners with six MnS6 octahedra, edges with four ScS6 octahedra, edges with four MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Mn–S bond distances ranging from 2.46–3.02 Å. In the seventh Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with two equivalent MnS4 tetrahedra, a cornercorner with one MnS4 trigonal pyramid, edges with four ScS6 octahedra, and edges with six MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.41–2.71 Å. In the eighth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with six MnS6 octahedra, corners with three MnS4 tetrahedra, edges with four ScS6 octahedra, and edges with four MnS6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Mn–S bond distances ranging from 2.49–2.65 Å. In the ninth Mn2+ site, Mn2+ is bonded to four S2- atoms to form distorted MnS4 trigonal pyramids that share corners with five ScS6 octahedra, corners with seven MnS6 octahedra, a faceface with one ScS6 octahedra, and a faceface with one MnS6 octahedra. The corner-sharing octahedra tilt angles range from 46–77°. There are a spread of Mn–S bond distances ranging from 2.31–2.46 Å. In the tenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three equivalent MnS4 tetrahedra, edges with four ScS6 octahedra, and edges with six MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.40–2.70 Å. In the eleventh Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three MnS4 tetrahedra, edges with four ScS6 octahedra, and edges with six MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.40–2.70 Å. In the twelfth Mn2+ site, Mn2+ is bonded to four S2- atoms to form distorted MnS4 tetrahedra that share corners with three ScS6 octahedra, corners with nine MnS6 octahedra, a faceface with one ScS6 octahedra, and a faceface with one MnS6 octahedra. The corner-sharing octahedra tilt angles range from 45–75°. There are a spread of Mn–S bond distances ranging from 2.31–2.45 Å. In the thirteenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three equivalent MnS4 tetrahedra, edges with five ScS6 octahedra, and edges with five MnS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.41–2.71 Å. In the fourteenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form MnS6 octahedra that share corners with three MnS4 tetrahedra, edges with two MnS6 octahedra, and edges with six ScS6 octahedra. There are a spread of Mn–S bond distances ranging from 2.49–2.76 Å. In the fifteenth Mn2+ site, Mn2+ is bonded to six S2- atoms to form distorted MnS6 octahedra that share corners with three equivalent ScS6 octahedra, corners with three equivalent MnS6 octahedra, edges with four ScS6 octahedra, edges with four MnS6 octahedra, and a faceface with one MnS4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mn–S bond distances ranging from 2.43–3.00 Å. In the sixteenth Mn2+ site, Mn2+ is bonded to four S2- atoms to form distorted MnS4 tetrahedra that share corners with four ScS6 octahedra, corners with eight MnS6 octahedra, a faceface with one ScS6 octahedra, and a faceface with one MnS6 octahedra. The corner-sharing octahedra tilt angles range from 45–75°. There are a spread of Mn–S bond distances ranging from 2.31–2.45 Å. In the seventeenth Mn2+ site, Mn2+ is bonded to four S2- atoms to form MnS4 tetrahedra that share corners with three MnS6 octahedra and corners with nine ScS6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mn–S bond distances ranging from 2.32–2.42 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Sc3+ and one Mn2+ atom. In the second S2- site, S2- is bonded to three Sc3+ and two Mn2+ atoms to form SSc3Mn2 square pyramids that share corners with two equivalent SSc2Mn4 octahedra, corners with four SSc2Mn3 trigonal bipyramids, edges with two equivalent SSc3Mn3 octahedra, an edgeedge with one SSc2Mn3 square pyramid, and an edgeedge with one SSc2Mn3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–15°. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Sc3+ and two Mn2+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to two Sc3+ and one Mn2+ atom. In the fifth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form distorted SSc2Mn3 trigonal bipyramids that share a cornercorner with one SSc3Mn2 square pyramid, edges with three SSc3Mn3 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. In the sixth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form SSc2Mn3 square pyramids that share corners with five SSc3Mn3 octahedra, a cornercorner with one SSc2Mn3 trigonal bipyramid, edges with two equivalent SSc2Mn4 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–16°. In the seventh S2- site, S2- is bonded in a 5-coordinate geometry to one Sc3+ and four Mn2+ atoms. In the eighth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form SSc2Mn3 square pyramids that share corners with five SSc2Mn4 octahedra, a cornercorner with one SSc2Mn3 trigonal bipyramid, edges with two equivalent SSc2Mn4 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–15°. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Mn2+ atoms. In the tenth S2- site, S2- is bonded to two Sc3+ and three Mn2+ atoms to form distorted SSc2Mn3 trigonal bipyramids that share corners with three equivalent SSc3Mn2 square pyramids, a cornercorner with one SSc2Mn2 tetrahedra, an edgeedge with one SSc3Mn3 octahedra, edges with two SSc2Mn3 square pyramids, and an edgeedge with one SSc2Mn3 trigonal bipyramid. In the eleventh S2- site, S2- is bonded to three Sc3+ and three Mn2+ atoms to form distorted SSc3Mn3 octahedra that share corners with three equivalent SSc2Mn3 square pyram

36 MATERIALS SCIENCE↗

Materials Data on Ca10Al6Si13N30 by Materials Project

Ca10Al6Si13N30 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.42–2.60 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Ca–N bond distances ranging from 2.51–2.73 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Ca–N bond distances ranging from 2.42–2.92 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.38–2.66 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.33–2.70 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.43–2.64 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.20–2.52 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.46–2.59 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.51–2.58 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.33–2.66 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There is three shorter (1.88 Å) and one longer (1.90 Å) Al–N bond length. In the second Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.93 Å. In the third Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.87–1.91 Å. In the fourth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.86–1.91 Å. In the fifth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.79–1.93 Å. In the sixth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.91 Å. There are thirteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.80 Å. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.65–1.92 Å. In the third Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN4 tetrahedra and corners with four AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.74–1.77 Å. In the fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.76–1.80 Å. In the fifth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SiN4 tetrahedra and corners with five AlN4 tetrahedra. There is two shorter (1.74 Å) and two longer (1.80 Å) Si–N bond length. In the sixth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the seventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN4 tetrahedra and corners with four AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.78 Å. In the eighth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.85 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.66–1.89 Å. In the tenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SiN4 tetrahedra and corners with five AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.79 Å. In the eleventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.82 Å. In the twelfth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.85 Å. In the thirteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.82 Å. There are thirty inequivalent N3- sites. In the first N3- site, N3- is bonded in a 3-coordinate geometry to two Ca2+ and three Si4+ atoms. In the second N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid and corners with seven NCaAlSi2 trigonal pyramids. In the third N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted corner-sharing NCaAlSi2 trigonal pyramids. In the fourth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form NCaAl2Si trigonal pyramids that share corners with three NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the fifth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share corners with two equivalent NCa3AlSi trigonal bipyramids and corners with five NCaAl2Si trigonal pyramids. In the sixth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share corners with two equivalent NCaAlSi2 tetrahedra and corners with five NCaSi3 trigonal pyramids. In the seventh N3- site, N3- is bonded in a 2-coordinate geometry to two Ca2+ and two Si4+ atoms. In the eighth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form NCaAl2Si trigonal pyramids that share corners with three NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the ninth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share corners with two equivalent NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the tenth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid and corners with four NCaAlSi2 trigonal pyramids. In the eleventh N3- site, N3- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twelfth N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to four Ca2+ and two Si4+ atoms. In the fourteenth N3- site, N3- is bonded to three Ca2+ and two Al3+ atoms to form distorted NCa3Al2 trigonal bipyramids that share corners with two equivalent NCa3Al2 trigonal bipyramids, corners with eight NCaAl2Si trigonal pyramids, and edges with two NCaAl2Si trigonal pyramids. In the fifteenth N3- site, N3- is bonded to three Ca2+, one Al3+, and one Si4+ atom to form distorted NCa3AlSi trigonal bipyramids that share corners with two equivalent NCa3AlSi trigonal bipyramids, corners with eight NCaAl2Si trigonal pyramids, and edges with two NCaAlSi2 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to one Ca2+ and three Si4+ atoms to form distorted corner-sharing NCaSi3 trigonal pyramids. In the seventeenth N3- site, N3- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Si4+ atoms. In the eighteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the nineteenth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3Al2 trigonal bipyramid. In the twentieth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAlSi2 tetrahedra and corners with six NCaAl2Si trigonal pyramids. In the twenty-first N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the twenty-second N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the twenty-third N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3Al2 trigonal bipyramid. In the twenty-fourth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form corner-sharing NCaAlSi2 tetrahedra. In the twenty-fifth N3- site, N3- is bonded to one Ca2+ and three Si4+ atoms to form NCaSi3 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid, corners with five NCaAlSi2 trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the twenty-sixth N3- site, N3- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-seventh N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+ and two Si4+ atoms. In the twenty-eighth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the twenty-ninth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the thirtieth N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe21Ni9O40 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Co29O40 by Materials Project

Co29O40 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-nine inequivalent Co+2.76+ sites. In the first Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is one shorter (1.94 Å) and three longer (1.96 Å) Co–O bond length. In the second Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.07 Å. In the third Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.12 Å. In the fourth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the fifth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.12 Å. In the sixth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. In the seventh Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.09 Å. In the eighth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.98–2.06 Å. In the ninth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the tenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the eleventh Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the twelfth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Co–O bond distances ranging from 1.95–1.98 Å. In the thirteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.96 Å. In the fifteenth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the sixteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.08 Å. In the seventeenth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the eighteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.08 Å. In the nineteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the twentieth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.99–2.06 Å. In the twenty-first Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.07 Å. In the twenty-second Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.07 Å. In the twenty-third Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Co–O bond distances ranging from 1.97–2.00 Å. In the twenty-fourth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.15 Å. In the twenty-fifth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.12 Å. In the twenty-sixth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the twenty-seventh Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There is three shorter (1.96 Å) and one longer (1.99 Å) Co–O bond length. In the twenty-eighth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the twenty-ninth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Co–O bond distances ranging from 1.95–1.99 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the eighth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Co+2.76+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Co+2.76+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-fourth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fortieth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Na3Nd3P6(O12F)2 by Materials Project

Ba4Nd3Na3(PO4)6F2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.63 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.66 Å. In the third Na1+ site, Na1+ is bonded to four O2- and one F1- atom to form distorted NaO4F trigonal pyramids that share corners with four PO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.31–2.60 Å. The Na–F bond length is 3.20 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–3.02 Å. In the fifth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.60 Å. In the sixth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.67 Å. There are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to seven O2- and two F1- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.02 Å. There are one shorter (2.91 Å) and one longer (2.92 Å) Ba–F bond lengths. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to seven O2- and two F1- atoms. There are a spread of Ba–O bond distances ranging from 2.66–3.04 Å. There are one shorter (2.88 Å) and one longer (2.95 Å) Ba–F bond lengths. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to seven O2- and two F1- atoms. There are a spread of Ba–O bond distances ranging from 2.58–3.04 Å. There are one shorter (2.80 Å) and one longer (2.87 Å) Ba–F bond lengths. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to seven O2- and two F1- atoms. There are a spread of Ba–O bond distances ranging from 2.58–3.03 Å. There are one shorter (2.82 Å) and one longer (2.85 Å) Ba–F bond lengths. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to seven O2- and two F1- atoms. There are a spread of Ba–O bond distances ranging from 2.59–3.04 Å. There are one shorter (3.13 Å) and one longer (3.31 Å) Ba–F bond lengths. In the sixth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- and one F1- atom. There are a spread of Ba–O bond distances ranging from 2.62–3.27 Å. The Ba–F bond length is 2.96 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to seven O2- and one F1- atom. There are a spread of Ba–O bond distances ranging from 2.62–3.00 Å. The Ba–F bond length is 2.98 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 4-coordinate geometry to seven O2- and two F1- atoms. There are a spread of Ba–O bond distances ranging from 2.61–3.03 Å. There are one shorter (3.12 Å) and one longer (3.33 Å) Ba–F bond lengths. There are six inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.60 Å. There are one shorter (2.38 Å) and one longer (2.63 Å) Nd–F bond lengths. In the second Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.42–2.68 Å. In the third Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.74 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to six O2- and two F1- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.78 Å. There are one shorter (2.38 Å) and one longer (2.62 Å) Nd–F bond lengths. In the fifth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.65 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Nd–O bond distances ranging from 2.43–2.69 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 a cornercorner with one NaO4F trigonal pyramid. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO4F trigonal pyramid. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the seventh P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO4F trigonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO4F trigonal pyramid. All P–O bond lengths are 1.56 Å. In the eleventh P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Ba2+, one P5+, and one F1- atom. The O–F bond length is 3.07 Å. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, one P5+, and one F1- atom. The O–F bond length is 2.91 Å. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Nd3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Nd3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Nd3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Nd3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Nd3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Nd3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Nd3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+, one Nd3+, one P5+, and one F1- atom. The O–F bond length is 2.91 Å. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Ba2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Nd3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Nd3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+, one P5+, and one F1- atom. The O–F bond length is 3.06 Å. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+, one P5+, and one F1- atom. The O–F bond length is 3.00 Å. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, one P5+, and one F1- atom. The O–F bond length is 2.83 Å. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, one P5+, and one F1- atom. The O–F bond length is 2.80 Å. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Nd3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Nd3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Nd3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+, one P5+, and one F1- atom. The O–F bond length is 3.16 Å. In the thirty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Nd3+, one P5+, and one F1- atom. The O–F bond length is 2.72 Å. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Nd3+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, one Nd3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ba2+, one Nd3+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Nd3+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, one Nd3+, and one P5+ atom. In the forty-sixth O2- site, O

36 MATERIALS SCIENCE↗

Materials Data on Ca12Mn8Si7(H5O16)3 by Materials Project

Ca12Mn8Si7(H5O16)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ca sites. In the first Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.95 Å. In the second Ca site, Ca is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.19–2.65 Å. In the third Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.93 Å. In the fourth Ca site, Ca is bonded in a 8-coordinate geometry to two H and six O atoms. There are one shorter (2.45 Å) and one longer (2.74 Å) Ca–H bond lengths. There are a spread of Ca–O bond distances ranging from 2.31–2.80 Å. In the fifth Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.24–2.51 Å. In the sixth Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.25–2.43 Å. In the seventh Ca site, Ca is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ca–O bond distances ranging from 2.23–2.48 Å. In the eighth Ca site, Ca is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.23–2.47 Å. In the ninth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.20–2.53 Å. In the tenth Ca site, Ca is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.46 Å. In the eleventh Ca site, Ca is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.75 Å. In the twelfth Ca site, Ca is bonded to six O atoms to form distorted CaO6 pentagonal pyramids that share corners with two SiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, an edgeedge with one SiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.30–2.48 Å. There are eight inequivalent Mn sites. In the first Mn site, Mn is bonded to four O atoms to form MnO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.67–1.80 Å. In the second Mn site, Mn is bonded to five O atoms to form MnO5 trigonal bipyramids that share corners with four SiO4 tetrahedra and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.11 Å. In the third Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.03 Å. In the fourth Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with two SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.79–1.96 Å. In the fifth Mn site, Mn is bonded to five O atoms to form distorted MnO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.51 Å. In the sixth Mn site, Mn is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Mn–O bond distances ranging from 1.83–1.99 Å. In the seventh Mn site, Mn is bonded to four O atoms to form distorted MnO4 trigonal pyramids that share a cornercorner with one CaO6 pentagonal pyramid and a cornercorner with one SiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.12 Å. In the eighth Mn site, Mn is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Mn–O bond distances ranging from 1.83–2.09 Å. There are seven inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid, a cornercorner with one MnO5 square pyramid, and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MnO5 square pyramids. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.61–1.72 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two MnO5 square pyramids. There are a spread of Si–O bond distances ranging from 1.64–1.68 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one MnO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one MnO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.63–1.76 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. There are fifteen inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the second H site, H is bonded in a single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.73 Å) H–O bond length. In the third H site, H is bonded in a single-bond geometry to one Ca and one O atom. The H–O bond length is 0.98 Å. In the fourth H site, H is bonded in a single-bond geometry to one Ca and one O atom. The H–O bond length is 0.98 Å. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the sixth H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.59 Å) H–O bond length. In the seventh H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.03 Å) and one longer (1.56 Å) H–O bond length. In the eighth H site, H is bonded in a 1-coordinate geometry to two O atoms. There is one shorter (1.02 Å) and one longer (1.61 Å) H–O bond length. In the ninth H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.60 Å) H–O bond length. In the tenth H site, H is bonded in a single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.74 Å) H–O bond length. In the eleventh H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the twelfth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.97 Å. In the thirteenth H site, H is bonded in a linear geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.56 Å) H–O bond length. In the fourteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 1.00 Å. In the fifteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to two Ca, one Mn, and one Si atom. In the second O site, O is bonded in a water-like geometry to one Mn and one H atom. In the third O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Mn, and one H atom. In the fourth O site, O is bonded in a distorted single-bond geometry to two Ca, one Mn, and one H atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Ca and one Si atom. In the sixth O site, O is bonded in a 1-coordinate geometry to two Ca and one Si atom. In the seventh O site, O is bonded in a 2-coordinate geometry to two Ca, one Si, and one H atom. In the eighth O site, O is bonded in a 1-coordinate geometry to two Ca, one Si, and one H atom. In the ninth O site, O is bonded in a 3-coordinate geometry to two Ca and one Mn atom. In the tenth O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the eleventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one H atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the thirteenth O site, O is bonded in a water-like geometry to one Ca and one Mn atom. In the fourteenth O site, O is bonded to two Ca, one Mn, and one Si atom to form distorted edge-sharing OCa2MnSi trigonal pyramids. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Si, and one H atom. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two Ca, one Mn, and one Si atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Mn, and one Si atom. In the eighteenth O site, O is bonded in a trigonal planar geometry to two Ca and one Mn atom. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Mn, and one H atom. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one Mn, and one Si atom. In the twenty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one H atom. In the twenty-second O site, O is bonded in a 1-coordinate geometry to one Mn, one Si, and one H atom. In the twenty-third O site, O is bonded in a 4-coordinate geometry to two Ca, one Mn, and one Si atom. In the twenty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Mn atom. In the twenty-fifth O site, O is bonded in a distorted trigonal planar geometry to two Ca and one Si atom. In the twenty-sixth O site, O is bonded in a bent 120 degrees geometry to one Mn and one Si atom. In the twenty-seventh O site, O is bonded in a 1-coordinate geometry to one Ca, one Mn, and one H atom. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one Si atom. In the twenty-ninth O site, O is bonded in a distorted single-bond geometry to one Ca, one Mn, and one H atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to one Ca, one Mn, and one H atom. In the thirty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mn, and one Si atom. In the thirty-second O site, O is bonded in a distorted bent 120 degrees geometry to one Mn and one Si atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to two Ca and one Si atom. In the thirty-fourth O site, O is bonded in a trigonal planar geometry to two Ca and one Mn atom. In the thirty-fifth O site, O is bonded to two Ca, one Si, and one H atom to form distorted corner-sharing OCa2SiH trigonal pyramids. In the thirty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Si, and one H atom. In the thirty-seventh O site, O is bonded in a 3-coordinate geometry to one Ca, one Mn, and one H atom. In the thirty-eighth O site, O is bonded in a 1-coordinate geometry to one Mn, one Si, and one H atom. In the thirty-ninth O site, O is bonded in a 2-coordinate geometry to one Ca, one Mn, and one Si atom. In the fortieth O site, O is bonded to three Ca and one Mn atom to form distorted corner-sharing OCa3Mn tetrahedra. In the forty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Si atom. I

36 MATERIALS SCIENCE↗

Materials Data on Li35(RuO4)12 by Materials Project

Li35(RuO4)12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are twenty-one inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four RuO6 octahedra, edges with two equivalent RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four RuO6 octahedra, edges with two equivalent RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the twenty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four RuO6 octahedra, edges with two equivalent RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. There are six inequivalent Ru sites. In the first Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ru–O bond distances ranging from 1.91–2.09 Å. In the second Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with five LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ru–O bond distances ranging from 1.87–2.10 Å. In the third Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Ru–O bond distances ranging from 1.90–2.08 Å. In the fourth Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ru–O bond distances ranging from 1.91–2.08 Å. In the fifth Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Ru–O bond distances ranging from 1.87–2.12 Å. In the sixth Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with five LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ru–O bond distances ranging from 1.90–2.09 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with six OLi5Ru octahedra, edges with nine OLi5Ru octahedra, and edges with three OLi4Ru square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the second O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi5Ru octahedra, a cornercorner with one OLi3Ru2 square pyramid, edges with eleven OLi4Ru2 octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 4–10°. In the third O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi4Ru2 octahedra, a cornercorner with one OLi4Ru square pyramid, and edges with twelve OLi4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. In the fourth O site, O is bonded to five Li and one Ru atom to form OLi5Ru octahedra that share corners with five OLi4Ru2 octahedra, a cornercorner with one OLi4Ru square pyramid, edges with eleven OLi5Ru octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 4–8°. In the fifth O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi5Ru octahedra, a cornercorner with one OLi4Ru square pyramid, edges with eleven OLi4Ru2 octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 5–10°. In the sixth O site, O is bonded to five Li and one Ru atom to form a mixture of edge and corner-sharing OLi5Ru octahedra. The corner-sharing octahedra tilt angles range from 5–8°. In the seventh O site, O is bonded to five Li and one Ru atom to form OLi5Ru octahedra that share corners with five OLi4Ru2 octahedra, a cornercorner with one OLi4Ru square pyramid, edges with eleven OLi5Ru octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 5–6°. In the eighth O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi5Ru octahedra, a cornercorner with one OLi3Ru2 square pyramid, edges with eleven OLi5Ru octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 4–7°. In the ninth O site, O is bonded to five Li and one Ru atom to form OLi5Ru octahedra that share corners with six OLi4Ru2 octahedra, edges with nine OLi4Ru2 octahedra, and edges with three OLi4Ru square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the tenth O site, O is bonded to four Li and two Ru atom

36 MATERIALS SCIENCE↗

Materials Data on Li12Nb14ZnO42 by Materials Project

Li12Nb14ZnO42 is Ilmenite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.32 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 2.08–2.31 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.33 Å. In the fourth 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 2.08–2.31 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.32 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.31 Å. In the ninth 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 2.08–2.30 Å. In the tenth 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 2.07–2.31 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.30 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.33 Å. There are fourteen inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of Nb–O bond distances ranging from 1.88–2.22 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.23 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Nb–O bond distances ranging from 1.89–2.21 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.20 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of Nb–O bond distances ranging from 1.87–2.20 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.88–2.20 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Nb–O bond distances ranging from 1.87–2.21 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.22 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of Nb–O bond distances ranging from 1.87–2.24 Å. In the thirteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Nb–O bond distances ranging from 1.89–2.19 Å. In the fourteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–41°. There are a spread of Nb–O bond distances ranging from 1.88–2.20 Å. Zn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zn–O bond distances ranging from 2.02–2.31 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Nb5+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the forty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the forty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Li4Ti19O44 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Zr32N17O39 by Materials Project

Zr32N17O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Zr sites. In the first Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are two shorter (2.19 Å) and one longer (2.26 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.29 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to one N and seven O atoms. The Zr–N bond length is 2.20 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.35 Å. In the third Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN2O5 pentagonal bipyramids and edges with six ZrN3O4 pentagonal bipyramids. There are two shorter (2.15 Å) and two longer (2.17 Å) Zr–N bond lengths. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.32 Å. In the fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.24 Å. In the sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the seventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.25 Å. In the ninth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the tenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the eleventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.20 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twelfth Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–N bond distances ranging from 2.18–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the thirteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fourteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the fifteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the sixteenth Zr site, Zr is bonded to four N and two O atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. There are a spread of Zr–N bond distances ranging from 2.13–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventeenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.20 Å) and four longer (2.30 Å) Zr–O bond lengths. In the eighteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.30 Å. In the nineteenth Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O4 pentagonal bipyramids and edges with six ZrN2O5 pentagonal bipyramids. There are a spread of Zr–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the twentieth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-first Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.15 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.19–2.26 Å. In the twenty-second Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.31 Å. In the twenty-third Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twenty-fourth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the twenty-fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the twenty-sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-seventh Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Zr–N bond distances ranging from 2.19–2.26 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the twenty-eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. Th

36 MATERIALS SCIENCE↗

Materials Data on La19(RuO6)8 by Materials Project

La19(RuO6)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.83 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–3.11 Å. In the third La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.82 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.77 Å. In the fifth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.82 Å. In the sixth La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.38–3.03 Å. In the seventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.33–2.92 Å. In the eighth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.81 Å. In the ninth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.43–2.57 Å. In the tenth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.43–2.58 Å. In the eleventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.97 Å. In the twelfth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.92 Å. In the thirteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.61 Å. In the fourteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.38–3.00 Å. In the fifteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.42–3.01 Å. In the sixteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.70 Å. In the seventeenth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.81 Å. In the eighteenth La3+ site, La3+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.94 Å. In the nineteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.74 Å. There are eight inequivalent Ru+4.88+ sites. In the first Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.92–2.03 Å. In the second Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.95–2.01 Å. In the third Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.96–2.02 Å. In the fourth Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.98–2.05 Å. In the fifth Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.98–2.05 Å. In the sixth Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.94–2.06 Å. In the seventh Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.95–2.02 Å. In the eighth Ru+4.88+ site, Ru+4.88+ is bonded in an octahedral geometry to six O2- atoms. There are a spread of Ru–O bond distances ranging from 1.94–2.01 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ru+4.88+ atom. In the third O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the fifth O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form distorted corner-sharing OLa3Ru trigonal pyramids. In the sixth O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru tetrahedra. In the seventh O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the eighth O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two La3+ and one Ru+4.88+ atom. In the eleventh O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two La3+ and one Ru+4.88+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to four La3+ and one Ru+4.88+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to two La3+ and one Ru+4.88+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ru+4.88+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Ru+4.88+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Ru+4.88+ atom. In the twenty-seventh O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to three La3+ and one Ru+4.88+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two La3+ and one Ru+4.88+ atom. In the thirty-eighth O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two La3+ and one Ru+4.88+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom. In the forty-second O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the forty-third O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru tetrahedra. In the forty-fourth O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru trigonal pyramids. In the forty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Ru+4.88+ atom. In the forty-sixth O2- site, O2- is bonded to three La3+ and one Ru+4.88+ atom to form a mixture of distorted corner and edge-sharing OLa3Ru tetrahedra. In the forty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Ru+4.88+ atom. In the forty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ru+4.88+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li12Nb14ZnO42 by Materials Project

Li12Nb14ZnO42 is Ilmenite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.32 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 2.09–2.31 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.33 Å. In the fourth 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 2.07–2.31 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.33 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.30 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the ninth 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 2.08–2.31 Å. In the tenth 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 2.08–2.31 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. There are fourteen inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of Nb–O bond distances ranging from 1.89–2.20 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of Nb–O bond distances ranging from 1.88–2.21 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of Nb–O bond distances ranging from 1.88–2.21 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–42°. There are a spread of Nb–O bond distances ranging from 1.89–2.22 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of Nb–O bond distances ranging from 1.85–2.25 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Nb–O bond distances ranging from 1.90–2.19 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–42°. There are a spread of Nb–O bond distances ranging from 1.87–2.24 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of Nb–O bond distances ranging from 1.91–2.18 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the thirteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.20 Å. In the fourteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–41°. There are a spread of Nb–O bond distances ranging from 1.87–2.21 Å. Zn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zn–O bond distances ranging from 2.04–2.30 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Nb5+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Nb5+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb5+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+, two Nb5+, and one Zn2+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the fortieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the forty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the forty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Li4Ti19O44 by Materials Project

Li4Ba4Ti19O44 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with five TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, a faceface with one TiO6 octahedra, and a faceface with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–49°. There are a spread of Li–O bond distances ranging from 2.01–2.31 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with nine TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Li–O bond distances ranging from 1.82–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with nine TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–47°. There are a spread of Ba–O bond distances ranging from 2.83–3.09 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Ba–O bond distances ranging from 2.71–3.20 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent LiO6 octahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–54°. There are a spread of Ba–O bond distances ranging from 2.76–3.17 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Ba–O bond distances ranging from 2.76–3.17 Å. There are nineteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Ti–O bond distances ranging from 1.78–2.12 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.16 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with two TiO6 octahedra, faces with three BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–51°. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Ti–O bond distances ranging from 1.84–2.24 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.80–2.32 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.11 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.94–2.00 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.03 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, edges with two equivalent LiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–54°. There are a spread of Ti–O bond distances ranging from 1.83–2.14 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–17°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–57°. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ba2+,

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Cr7O48 by Materials Project

Li9V12Cr7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 60–70°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.36 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 2.02–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 2.12–2.19 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.03–2.11 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–67°. There are a spread of V–O bond distances ranging from 1.73–1.80 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–64°. There are a spread of V–O bond distances ranging from 1.65–1.85 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–65°. There are a spread of V–O bond distances ranging from 1.65–1.87 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and a cornercorner with one CrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and a cornercorner with one CrO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of V–O bond distances ranging from 1.67–1.80 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–64°. There is three shorter (1.74 Å) and one longer (1.85 Å) V–O bond length. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three CrO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–59°. There are a spread of V–O bond distances ranging from 1.68–1.80 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 23–57°. There are a spread of V–O bond distances ranging from 1.68–1.84 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 22–63°. There are a spread of V–O bond distances ranging from 1.66–1.84 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent CrO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.71–1.79 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with two equivalent CrO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–59°. There are a spread of V–O bond distances ranging from 1.72–1.77 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–66°. There are a spread of V–O bond distances ranging from 1.73–1.78 Å. There are seven inequivalent Cr+3.86+ sites. In the first Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form distorted CrO6 pentagonal pyramids that share corners with two LiO6 octahedra and corners with six VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Cr–O bond distances ranging from 2.00–2.08 Å. In the second Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Cr–O bond distances ranging from 1.86–1.98 Å. In the third Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.86–1.98 Å. In the fourth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.87–2.01 Å. In the fifth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Cr–O bond distances ranging from 1.86–2.10 Å. In the sixth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Cr–O bond distances ranging from 1.83–2.11 Å. In the seventh Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Cr–O bond distances ranging from 1.87–1.98 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V5+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V5+ atom. I

36 MATERIALS SCIENCE↗

Materials Data on Na2Ti12O25 by Materials Project

Na2Ti12O25 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.46–2.98 Å. In the second Na1+ site, Na1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are two shorter (2.42 Å) and two longer (2.44 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–2.98 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.49–3.00 Å. There are twenty-four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–30°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–30°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.81–2.27 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.31 Å. In the sixth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.28 Å. In the seventh Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.32 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.78–2.29 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–32°. There are a spread of Ti–O bond distances ranging from 1.81–2.27 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Ti–O bond distances ranging from 1.87–2.21 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Ti–O bond distances ranging from 1.87–2.21 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Ti–O bond distances ranging from 1.86–2.21 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Ti–O bond distances ranging from 1.86–2.20 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There are a spread of Ti–O bond distances ranging from 1.81–2.26 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There are a spread of Ti–O bond distances ranging from 1.80–2.27 Å. In the seventeenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.29 Å. In the eighteenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.77–2.31 Å. In the nineteenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.32 Å. In the twentieth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.31 Å. In the twenty-first Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.26 Å. In the twenty-second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.27 Å. In the twenty-third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–31°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the twenty-fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–31°. There are a spread of Ti–O bond distances ranging from 1.84–2.22 Å. There are fifty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 tetrahedra that share corners with two equivalent ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and an edgeedge with one OTi4 trigonal pyramid. In the second O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 tetrahedra that share corners with two equivalent ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and an edgeedge with one OTi4 trigonal pyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with two OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one ONa2Ti2 tetrahedra, and edges with two OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one Na1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one ONa2Ti2 tetrahedra, corners with three OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Na1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirty-ninth O2- site, O2- is bonded in a distorted linear geometry to two Na1+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a distorted linear geometry to two Na1+ and two Ti4+ atoms. In the forty-first O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-second O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-third O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-fourth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the forty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the forty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the forty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the forty-e

36 MATERIALS SCIENCE↗

Materials Data on Li2MnFe(PO4)2 by Materials Project

Li2MnFe(PO4)2 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the sixth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. There are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.13–2.28 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners w

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.16–2.42 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.32 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.49 Å. In the fourth 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 2.09–2.53 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.15–2.53 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.52 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.17–2.49 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.52 Å. In the ninth 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 2.12–2.49 Å. In the tenth 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 2.16–2.46 Å. In the eleventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.31 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.42 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.19 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.14 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.15 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.95–2.19 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.39 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.30 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.34 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.38 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There is two shorter (1.55 Å) and two longer (1.56 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 two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There is one shorter (1.52 Å) and three longer (1.57 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP trigonal pyramids that share a cornercorner with one OLi2MnP tetrahedra, a cornercorner with one OLi2VP trigonal pyramid, and an edgeedge with one OLi2MnP tetrahedra. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra, corners with three OLi2MnP trigonal pyramids, and an edgeedge with one OLi2VP trigonal pyramid. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one V4+, and one P5+ atom to form distorted OLi2VP trigonal pyramids that share a cornercorner with one OLi2MnP tetrahedra, a cornercorner with one OLi2VP trigonal pyramid, and an edgeedge with one OLi2MnP trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V4+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the thirty-sixth O2- site, O2- is b

36 MATERIALS SCIENCE↗