Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “distortion”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 343 records · Page 19

Materials Data on TlBi25O39 by Materials Project

TlBi25O39 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Tl3+ is bonded to four O2- atoms to form TlO4 tetrahedra that share corners with eleven BiO5 square pyramids. There are a spread of Tl–O bond distances ranging from 2.18–2.21 Å. There are twenty-five inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.61 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.66 Å. In the third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.59 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.62 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.63 Å. In the sixth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.77 Å. In the seventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.56 Å. In the eighth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.65 Å. In the ninth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.61 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.75 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.73 Å. In the twelfth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.57 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.64 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.36 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with four BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.63 Å. In the eighteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.54 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.75 Å. In the twentieth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one TlO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.55 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids and a cornercorner with one TlO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.10–2.71 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.77 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.45 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.42 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are two shorter (2.12 Å) and one longer (2.13 Å) Bi–O bond lengths. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the sixth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form distorted corner-sharing OTlBi3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Tl3+ and three Bi3+ atoms to form corner-sharing OTlBi3 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nb24(CuS8)5 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Sr9U9O34 by Materials Project

Sr9U9O34 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.91 Å. In the second Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.88 Å. In the third Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 hexagonal pyramids that share a cornercorner with one UO7 pentagonal bipyramid and edges with two UO7 pentagonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.47–2.59 Å. In the fourth Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.88 Å. In the fifth Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.88 Å. In the sixth Sr2+ site, Sr2+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.71 Å. In the seventh Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.45–2.88 Å. In the eighth Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 hexagonal pyramids that share corners with three UO7 pentagonal bipyramids and an edgeedge with one UO7 pentagonal bipyramid. There are a spread of Sr–O bond distances ranging from 2.49–2.63 Å. In the ninth Sr2+ site, Sr2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.86 Å. There are nine inequivalent U+5.56+ sites. In the first U+5.56+ site, U+5.56+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of U–O bond distances ranging from 1.99–2.32 Å. In the second U+5.56+ site, U+5.56+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share a cornercorner with one SrO7 hexagonal pyramid, corners with two UO7 pentagonal bipyramids, an edgeedge with one SrO7 hexagonal pyramid, and an edgeedge with one UO7 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 2.00–2.38 Å. In the third U+5.56+ site, U+5.56+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.00–2.70 Å. In the fourth U+5.56+ site, U+5.56+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share a cornercorner with one SrO7 hexagonal pyramid, an edgeedge with one SrO7 hexagonal pyramid, and an edgeedge with one UO7 pentagonal bipyramid. There are a spread of U–O bond distances ranging from 2.00–2.37 Å. In the fifth U+5.56+ site, U+5.56+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 1.99–2.44 Å. In the sixth U+5.56+ site, U+5.56+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 2.00–2.68 Å. In the seventh U+5.56+ site, U+5.56+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of U–O bond distances ranging from 1.98–2.40 Å. In the eighth U+5.56+ site, U+5.56+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share a cornercorner with one SrO7 hexagonal pyramid and corners with two UO7 pentagonal bipyramids. There are a spread of U–O bond distances ranging from 2.00–2.33 Å. In the ninth U+5.56+ site, U+5.56+ is bonded to seven O2- atoms to form distorted UO7 pentagonal bipyramids that share a cornercorner with one SrO7 hexagonal pyramid, corners with two UO7 pentagonal bipyramids, and an edgeedge with one SrO7 hexagonal pyramid. There are a spread of U–O bond distances ranging from 2.01–2.34 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the third O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the fifth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and three U+5.56+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the eighth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the ninth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form distorted OSr3U tetrahedra that share corners with eleven OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and two U+5.56+ atoms. In the eleventh O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the twelfth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the thirteenth O2- site, O2- is bonded to one Sr2+ and three U+5.56+ atoms to form distorted OSrU3 tetrahedra that share corners with seven OSrU3 tetrahedra and edges with three OSr3U tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the fifteenth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the sixteenth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and two U+5.56+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the nineteenth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form distorted OSr3U tetrahedra that share corners with twelve OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the twentieth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and two U+5.56+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the twenty-third O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Sr2+ and three U+5.56+ atoms to form a mixture of distorted edge and corner-sharing OSrU3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to one Sr2+ and three U+5.56+ atoms to form a mixture of distorted edge and corner-sharing OSrU3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form distorted OSr3U tetrahedra that share corners with eleven OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+ and three U+5.56+ atoms. In the thirtieth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the thirty-first O2- site, O2- is bonded to one Sr2+ and three U+5.56+ atoms to form distorted OSrU3 tetrahedra that share corners with seven OSr3U tetrahedra and edges with four OSrU3 tetrahedra. In the thirty-second O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra. In the thirty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sr2+ and two U+5.56+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Sr2+ and one U+5.56+ atom to form a mixture of distorted edge and corner-sharing OSr3U tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiNbO3 by Materials Project

LiNbO3 is Ilmenite-like 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 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.59 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 2.05–2.34 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.56 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 2.08–2.35 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 2.07–2.34 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 2.07–2.35 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 2.07–2.35 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 2.07–2.34 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 2.07–2.34 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 2.06–2.37 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 2.07–2.34 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 2.03–2.37 Å. There are twelve inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form 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 1.92–2.17 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 34–40°. There are a spread of Nb–O bond distances ranging from 1.91–2.14 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of Nb–O bond distances ranging from 1.92–2.14 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 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 39–40°. There are a spread of Nb–O bond distances ranging from 1.91–2.17 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 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 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 1.90–2.17 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 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 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 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the eleventh 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 1.90–2.17 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Nb–O bond distances ranging from 1.91–2.17 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Nb5+ atoms. In the second O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. 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 5-coordinate geometry to three Li1+ and two Nb5+ atoms. In the eighth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. 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 two Li1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one 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 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 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 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 5-coordinate geometry to three 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 to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the thirty-sixth 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 MgTi14O25 by Materials Project

MgTi14O25 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–42°. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. There are fourteen inequivalent Ti+3.43+ sites. In the first Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–41°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the second Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of Ti–O bond distances ranging from 1.90–2.21 Å. In the third Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the fourth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the sixth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.23 Å. In the seventh Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.85–2.23 Å. In the eighth Ti+3.43+ site, Ti+3.43+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.18 Å. In the ninth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the tenth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eleventh Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.21 Å. In the twelfth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the thirteenth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.43+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with three OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twenty-first O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.43+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.43+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi8(P2O9)3 by Materials Project

Bi8(P2O9)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.39 Å. In the second Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.06–3.02 Å. In the third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–3.01 Å. In the fourth Bi3+ site, Bi3+ is bonded to seven O2- atoms to form distorted BiO7 pentagonal bipyramids that share corners with three PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.23–2.92 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.64 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.60 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.28–2.99 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.56 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.60 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.23–2.83 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.97 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.97 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.23 Å. In the fourteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.05–2.68 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.06–2.60 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.28–3.04 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.62–1.72 Å. In the second P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.58–1.68 Å. In the third P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.56–1.74 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BiO7 pentagonal bipyramid and an edgeedge with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.67 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.52–1.67 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form edge-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.70 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form edge-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.68 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BiO7 pentagonal bipyramid and an edgeedge with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.47–1.71 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BiO7 pentagonal bipyramid and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.73 Å. In the eleventh P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.66 Å. In the twelfth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.53–1.67 Å. There are fifty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+, one P5+, and one O2- atom. The O–O bond length is 1.49 Å. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Bi3+ and one O2- atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+, one P5+, and one O2- atom. The O–O bond length is 1.49 Å. In the twenty-second O2- site, O2- is bonded in an L-shaped geometry to one Bi3+ and two P5+ atoms. In the twenty-third O2- site, O2- is bonded in an L-shaped geometry to two P5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Bi3+ and two O2- atoms. The O–O bond length is 2.38 Å. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi3+ and two P5+ atoms. In the twenty-sixth O2- site, O2- is bonded in an L-shaped geometry to two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Bi3+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi3+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi3+ and one O2- atom. The O–O bond length is 1.49 Å. In the thirtieth O2- site, O2- is bonded in an L-shaped geometry to two P5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+, one P5+, and one O2- atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Bi3+ and two O2- atoms. The O–O bond length is 1.50 Å. In the thirty-fifth O2- site, O2- is bonded in a single-bond geometry to two Bi3+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Bi3+, one P5+, and one O2- atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi3+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fortieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi3+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the forty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a water-like geometry to two Bi3+ atoms. In the forty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a single-bond geometry to one Bi3+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi3+ atoms. In the forty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the forty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Bi3+ and one P5+ atom. In the fiftieth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the fifty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Bi3+ and one P5+ atom. In the fifty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Bi3+ atoms. In the fifty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Bi3+ and one P5+ atom. In the fifty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Bi3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mg12Fe(PO4)12 by Materials Project

Li9Mg12Fe(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li sites. In the first Li site, Li is bonded in a distorted trigonal planar geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the second Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.33 Å. In the third Li site, Li is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.83–2.15 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.57 Å. In the fifth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.11 Å. In the sixth Li site, Li is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.27 Å. In the seventh Li site, Li is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.92–2.57 Å. In the eighth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share a cornercorner with one MgO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MgO5 square pyramid. There are a spread of Li–O bond distances ranging from 1.90–2.21 Å. In the ninth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.00–2.40 Å. There are twelve inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 1.93–2.57 Å. In the second Mg site, Mg is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Mg–O bond distances ranging from 1.89–2.25 Å. In the third Mg site, Mg is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Mg–O bond distances ranging from 2.01–2.14 Å. In the fourth Mg site, Mg is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 1.93–2.15 Å. In the fifth Mg site, Mg is bonded to four O atoms to form distorted MgO4 trigonal pyramids that share corners with two PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.96–2.01 Å. In the sixth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share a cornercorner with one PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.95–2.00 Å. In the seventh Mg site, Mg is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Mg–O bond distances ranging from 1.85–2.03 Å. In the eighth Mg site, Mg is bonded in a 5-coordinate geometry to one P and four O atoms. The Mg–P bond length is 2.71 Å. There are a spread of Mg–O bond distances ranging from 1.96–2.25 Å. In the ninth Mg site, Mg is bonded to four O atoms to form MgO4 tetrahedra that share corners with two PO4 tetrahedra and a cornercorner with one LiO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 1.89–2.04 Å. In the tenth Mg site, Mg is bonded to four O atoms to form distorted MgO4 tetrahedra that share a cornercorner with one MgO5 square pyramid and corners with two PO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 1.96–2.12 Å. In the eleventh Mg site, Mg is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Mg–O bond distances ranging from 2.00–2.20 Å. In the twelfth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share a cornercorner with one MgO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mg–O bond distances ranging from 2.02–2.09 Å. Fe is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Fe–O bond distances ranging from 2.02–2.43 Å. There are twelve inequivalent P sites. In the first P site, P is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of P–O bond distances ranging from 1.55–1.74 Å. In the second P site, P is bonded in a 3-coordinate geometry to one Mg and three O atoms. There are a spread of P–O bond distances ranging from 1.54–1.74 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one MgO5 square pyramid, a cornercorner with one MgO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourth P site, P is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of P–O bond distances ranging from 1.58–1.64 Å. In the fifth P site, P is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of P–O bond distances ranging from 1.58–1.72 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one MgO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one MgO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and a cornercorner with one MgO4 trigonal pyramid. There is one shorter (1.53 Å) and three longer (1.57 Å) P–O bond length. In the eighth P site, P is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of P–O bond distances ranging from 1.52–1.65 Å. In the ninth P site, P is bonded in a trigonal non-coplanar geometry to three O atoms. There is one shorter (1.58 Å) and two longer (1.71 Å) P–O bond length. In the tenth P site, P is bonded in a trigonal planar geometry to three O atoms. There are a spread of P–O bond distances ranging from 1.48–1.51 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with two MgO4 tetrahedra, and a cornercorner with one MgO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P site, P is bonded in a trigonal non-coplanar geometry to three O atoms. There is one shorter (1.55 Å) and two longer (1.58 Å) P–O bond length. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a distorted T-shaped geometry to one Li and two Mg atoms. In the second O site, O is bonded in a trigonal planar geometry to one Li, one Mg, and one P atom. In the third O site, O is bonded in a 3-coordinate geometry to one Li, one Mg, and one P atom. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Mg and one P atom. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Mg, and one P atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mg, and one P atom. In the seventh O site, O is bonded in a trigonal planar geometry to one Li and two Mg atoms. In the eighth O site, O is bonded in a 3-coordinate geometry to one Li, one P, and one O atom. The O–O bond length is 1.49 Å. In the ninth O site, O is bonded in a distorted single-bond geometry to one P atom. In the tenth O site, O is bonded to one Li and three Mg atoms to form corner-sharing OLiMg3 tetrahedra. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mg, and one P atom. In the twelfth O site, O is bonded in a distorted T-shaped geometry to one Li, one Mg, and one P atom. In the thirteenth O site, O is bonded in a trigonal planar geometry to one Li, one Mg, and one P atom. In the fourteenth O site, O is bonded in a distorted T-shaped geometry to one Li, one Mg, and one P atom. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Li, two Mg, and one O atom. The O–O bond length is 1.55 Å. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one Li, one Mg, and one P atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to one Mg, one P, and one O atom. In the eighteenth O site, O is bonded in a distorted T-shaped geometry to one Li, one Mg, and one P atom. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Li, one Mg, and one P atom. In the twentieth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and one P atom. In the twenty-first O site, O is bonded in a distorted T-shaped geometry to one Li, one Mg, and one P atom. In the twenty-second O site, O is bonded in a 2-coordinate geometry to one Li and one Mg atom. In the twenty-third O site, O is bonded in a trigonal planar geometry to two Mg and one P atom. In the twenty-fourth O site, O is bonded in a distorted T-shaped geometry to two Mg and one P atom. In the twenty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Mg, one P, and one O atom. The O–O bond length is 1.47 Å. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to two Li and one O atom. The O–O bond length is 1.48 Å. In the twenty-seventh O site, O is bonded in a linear geometry to one Mg and one P atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Mg, and one P atom. In the twenty-ninth O site, O is bonded in a distorted trigonal planar geometry to two Li and one P atom. In the thirtieth O site, O is bonded in a distorted bent 150 degrees geometry to one Li, one Mg, and one P atom. In the thirty-first O site, O is bonded in a distorted trigonal planar geometry to one Mg, one Fe, and one P atom. In the thirty-second O site, O is bonded in a 4-coordinate geometry to one Li, one Mg, one Fe, and one P atom. In the thirty-third O site, O is bonded in a distorted T-shaped geometry to two Mg and one P atom. In the thirty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Mg, one Fe, and one P atom. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to two P atoms. In the thirty-sixth O site, O is bonded in a distorted single-bond geometry to one P and one O atom. The O–O bond length is 1.51 Å. In the thirty-seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Mg, and one P atom. In the thirty-eighth O site, O is bonded in a 3-coordinate geometry to two Mg and one P atom. In the thirty-ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to two Li and one O atom. In the fortieth O site, O is bonded in a distorted single-bond geometry to one P and one O atom. In the forty-first O site, O is bonded to one Li, two Mg, and one P atom to form distorted corner-sharing OLiMg2P trigonal pyramids. In the forty-second O site, O is bonded in a distorted bent 150 degrees geometry to two Mg and one O atom. In the forty-third O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li, one Mg, and one O atom. In the forty-fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, one Mg, one Fe, and one P atom. In the forty-fifth O site, O is bonded in a 4-coordinate geometry to one Li, two Mg, and one P atom. In the forty-sixth O site, O is bonded in a bent 120 degrees geometry to one Mg and one P atom. In the forty-seventh O site, O is bonded to one Li, two Mg, and one P atom to form distorted OLiMg2P tetrahedra that share a cornercorner with one OLiMg3 tetrahedra and a cornercorner with one OLiMg2P trigonal pyramid. In the forty-eighth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mg, and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi25O38 by Materials Project

Bi25O38 is Antimony trioxide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-five inequivalent Bi+3.04+ sites. In the first Bi+3.04+ site, Bi+3.04+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.36 Å. In the second Bi+3.04+ site, Bi+3.04+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.51 Å. In the third Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the fourth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.71 Å. In the fifth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.47 Å. In the sixth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.54 Å. In the seventh Bi+3.04+ site, Bi+3.04+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.84 Å. In the eighth Bi+3.04+ site, Bi+3.04+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.89 Å. In the ninth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with four BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.72 Å. In the tenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.79 Å. In the eleventh Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.10–2.58 Å. In the twelfth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.58 Å. In the thirteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.60 Å. In the fourteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.14–2.68 Å. In the fifteenth Bi+3.04+ site, Bi+3.04+ is bonded to four O2- atoms to form corner-sharing BiO4 tetrahedra. There are two shorter (2.16 Å) and two longer (2.17 Å) Bi–O bond lengths. In the sixteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.67 Å. In the seventeenth Bi+3.04+ site, Bi+3.04+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.46 Å. In the eighteenth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.42 Å. In the nineteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.67 Å. In the twentieth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.15–2.74 Å. In the twenty-first Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.71 Å. In the twenty-second Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.75 Å. In the twenty-third Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.77 Å. In the twenty-fourth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.40 Å. In the twenty-fifth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.75 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Bi+3.04+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi+3.04+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the seventeenth O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twenty-third O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi+3.04+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the thirty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on RbLiSO4 by Materials Project

RbLiSO4 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are ten inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.01–3.30 Å. In the second Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.00–3.52 Å. In the third Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.04–3.42 Å. In the fourth Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.00–3.30 Å. In the fifth Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 2.99–3.53 Å. In the sixth Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.01–3.34 Å. In the seventh Rb1+ site, Rb1+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.00–3.47 Å. In the eighth Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.02–3.46 Å. In the ninth Rb1+ site, Rb1+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.02–3.47 Å. In the tenth Rb1+ site, Rb1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Rb–O bond distances ranging from 3.04–3.35 Å. There are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.96 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.96 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There is one shorter (1.94 Å) and three longer (1.96 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.96 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four SO4 tetrahedra. There is two shorter (1.95 Å) and two longer (1.96 Å) Li–O bond length. There are ten inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the ninth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. In the tenth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with four LiO4 tetrahedra. All S–O bond lengths are 1.49 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to three Rb1+, one Li1+, and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Li1+, and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Li1+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Li1+, and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Li1+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Li1+, and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Rb1+, one Li1+, and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom. In the fortieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Rb1+, one Li1+, and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe8H10O17 by Materials Project

Fe8H10O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–O bond distances ranging from 1.92–2.15 Å. In the fourth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.93–2.31 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Fe–O bond distances ranging from 1.95–2.22 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Fe–O bond distances ranging from 2.01–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Fe–O bond distances ranging from 1.95–2.27 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Fe–O bond distances ranging from 1.96–2.13 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Fe–O bond distances ranging from 2.00–2.23 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of Fe–O bond distances ranging from 1.97–2.14 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 32–54°. There are a spread of Fe–O bond distances ranging from 1.94–2.42 Å. In the thirteenth Fe3+ site, Fe3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.87–2.24 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Fe–O bond distances ranging from 1.99–2.28 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–O bond distances ranging from 1.92–2.15 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Fe–O bond distances ranging from 1.94–2.15 Å. There are twenty inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a distorted single-bond geometry to one O2- atom. The H–O bond length is 1.02 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fifth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.02 Å) and one longer (1.66 Å) H–O bond length. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.02 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the tenth H1+ site, H1+ is bonded in a distorted single-bond geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.65 Å) H–O bond length. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the twelfth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixteenth H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.09 Å) and one longer (1.36 Å) H–O bond length. In the seventeenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eighteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the nineteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twentieth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one H1+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded to four Fe3+ atoms to form distorted corner-sharing OFe4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the twenty-sixth O2- site, O2- is bonded to three Fe3+ and one H1+ atom to form distorted corner-sharing OFe3H trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Fe3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded in a distorted single-bond geometry to three Fe3+ and one H1+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe3+ and two H1+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Fe3+ and one H1+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted water-like geometry to two Fe3+ and two H1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiNiO3 by Materials Project

NiTiO3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ti–O bond distances ranging from 1.86–2.19 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.85–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six NiO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Ti–O bond distances ranging from 1.85–2.21 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.84–2.16 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight NiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.84–2.14 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with four TiO6 octahedra, and edges with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the tenth 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 1.77–2.26 Å. There are ten inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six NiO6 octahedra, an edgeedge with one TiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–67°. There are a spread of Ni–O bond distances ranging from 1.98–2.25 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent NiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Ni–O bond distances ranging from 1.98–2.24 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ni–O bond distances ranging from 2.04–2.14 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with five TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Ni–O bond distances ranging from 2.03–2.10 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ni–O bond distances ranging from 2.04–2.14 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Ni–O bond distances ranging from 2.04–2.17 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ni–O bond distances ranging from 2.05–2.13 Å. In the eighth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ni–O bond distances ranging from 2.04–2.16 Å. In the ninth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Ni–O bond distances ranging from 2.02–2.15 Å. In the tenth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with nine TiO6 octahedra, edges with three NiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ni–O bond distances ranging from 2.05–2.16 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ti4+ and three Ni2+ atoms to form distorted OTiNi3 trigonal pyramids that share corners with two OTi2Ni2 trigonal pyramids and edges with three OTiNi3 trigonal pyramids. In the second O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form distorted OTi2Ni2 trigonal pyramids that share corners with six OTi2Ni2 trigonal pyramids and edges with two OTiNi3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Ni2+ atoms. In the sixth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Ti4+ and three Ni2+ atoms to form distorted OTiNi3 trigonal pyramids that share corners with four OTi2Ni2 trigonal pyramids and edges with two equivalent OTiNi3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Ni2+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the eleventh O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the fifteenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the seventeenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the twenty-first O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the twenty-third O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti4+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded to two Ti4+ and two Ni2+ atoms to form a mixture of distorted corner and edge-sharing OTi2Ni2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Ni2+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Ni2+ atoms. In the twenty-ninth O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form distorted OTi3Ni trigonal pyramids that share corners with three OTi2Ni2 trigonal pyramids and an edgeedge with one OTi3Ni trigonal pyramid. In the thirtieth O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OTi3Ni trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti7(Fe3O8)3 by Materials Project

Ti7(Fe3O8)3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–64°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–63°. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. There are nine inequivalent Fe+2.22+ sites. In the first Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Fe–O bond distances ranging from 2.05–2.23 Å. In the second Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Fe–O bond distances ranging from 2.09–2.27 Å. In the third Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Fe–O bond distances ranging from 2.10–2.24 Å. In the fourth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Fe–O bond distances ranging from 2.08–2.22 Å. In the fifth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–63°. There are a spread of Fe–O bond distances ranging from 2.09–2.24 Å. In the sixth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the seventh Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of Fe–O bond distances ranging from 1.98–2.16 Å. In the eighth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–64°. There are a spread of Fe–O bond distances ranging from 2.07–2.25 Å. In the ninth Fe+2.22+ site, Fe+2.22+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the second O2- site, O2- is bonded to two Ti4+ and two Fe+2.22+ atoms to form distorted corner-sharing OTi2Fe2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the sixth O2- site, O2- is bonded to two Ti4+ and two Fe+2.22+ atoms to form distorted OTi2Fe2 trigonal pyramids that share a cornercorner with one OTiFe3 trigonal pyramid and edges with two OTi2Fe2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.22+ atoms. In the eighth O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with three OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+ and two Fe+2.22+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ti4+ and three Fe+2.22+ atoms. In the eighteenth O2- site, O2- is bonded to two Ti4+ and two Fe+2.22+ atoms to form distorted OTi2Fe2 trigonal pyramids that share corners with two OTiFe3 trigonal pyramids and edges with two OTi2Fe2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form a mixture of distorted edge and corner-sharing OTiFe3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form distorted OTiFe3 trigonal pyramids that share corners with four OTi2Fe2 trigonal pyramids and an edgeedge with one OTiFe3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Ti4+ and three Fe+2.22+ atoms to form distorted corner-sharing OTiFe3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe+2.22+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe46(BC3)3 by Materials Project

Fe46(BC3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are forty-six inequivalent Fe sites. In the first Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.53 Å. Both Fe–C bond lengths are 2.12 Å. In the second Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.11 Å. In the third Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.50 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the fourth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.52 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.10 Å. In the fifth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the sixth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two B atoms. The Fe–Fe bond length is 2.50 Å. Both Fe–B bond lengths are 2.11 Å. In the seventh Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.52 Å. Both Fe–C bond lengths are 2.12 Å. In the eighth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.56 Å. There are one shorter (2.11 Å) and one longer (2.12 Å) Fe–C bond lengths. In the ninth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the tenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.11 Å) and one longer (2.12 Å) Fe–C bond lengths. In the eleventh Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the twelfth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.57 Å. Both Fe–C bond lengths are 2.10 Å. In the thirteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.11 Å. In the fourteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.53 Å. Both Fe–C bond lengths are 2.12 Å. In the fifteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.11 Å) and one longer (2.12 Å) Fe–C bond lengths. In the sixteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.54 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the seventeenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.53 Å. The Fe–B bond length is 2.11 Å. The Fe–C bond length is 2.10 Å. In the eighteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. There are one shorter (2.10 Å) and one longer (2.11 Å) Fe–C bond lengths. In the nineteenth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.52 Å. Both Fe–C bond lengths are 2.12 Å. In the twentieth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe and two C atoms. The Fe–Fe bond length is 2.55 Å. Both Fe–C bond lengths are 2.12 Å. In the twenty-first Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.13 Å. The Fe–C bond length is 2.11 Å. In the twenty-second Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.51 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the twenty-third Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.50 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the twenty-fourth Fe site, Fe is bonded in a distorted bent 150 degrees geometry to one Fe, one B, and one C atom. The Fe–Fe bond length is 2.54 Å. The Fe–B bond length is 2.12 Å. The Fe–C bond length is 2.10 Å. In the twenty-fifth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, two B, and one C atom. The Fe–Fe bond length is 2.41 Å. Both Fe–B bond lengths are 2.10 Å. The Fe–C bond length is 2.04 Å. In the twenty-sixth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.04 Å. In the twenty-seventh Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.43 Å. There are two shorter (2.06 Å) and one longer (2.07 Å) Fe–C bond lengths. In the twenty-eighth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. There are one shorter (2.05 Å) and two longer (2.06 Å) Fe–C bond lengths. In the twenty-ninth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.44 Å. The Fe–B bond length is 2.10 Å. There are one shorter (2.04 Å) and one longer (2.05 Å) Fe–C bond lengths. In the thirtieth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. All Fe–C bond lengths are 2.05 Å. In the thirty-first Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.42 Å. The Fe–B bond length is 2.10 Å. There are one shorter (2.05 Å) and one longer (2.06 Å) Fe–C bond lengths. In the thirty-second Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.11 Å. Both Fe–C bond lengths are 2.04 Å. In the thirty-third Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. There are two shorter (2.05 Å) and one longer (2.06 Å) Fe–C bond lengths. In the thirty-fourth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.44 Å. There are one shorter (2.05 Å) and two longer (2.06 Å) Fe–C bond lengths. In the thirty-fifth Fe site, Fe is bonded in a 3-coordinate geometry to one Fe, two B, and one C atom. The Fe–Fe bond length is 2.41 Å. Both Fe–B bond lengths are 2.10 Å. The Fe–C bond length is 2.04 Å. In the thirty-sixth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.42 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.04 Å. In the thirty-seventh Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.05 Å. In the thirty-eighth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.44 Å. The Fe–B bond length is 2.10 Å. Both Fe–C bond lengths are 2.04 Å. In the thirty-ninth Fe site, Fe is bonded in a distorted trigonal non-coplanar geometry to one Fe, one B, and two C atoms. The Fe–Fe bond length is 2.43 Å. The Fe–B bond length is 2.11 Å. There are one shorter (2.04 Å) and one longer (2.06 Å) Fe–C bond lengths. In the fortieth Fe site, Fe is bonded in a trigonal non-coplanar geometry to one Fe and three C atoms. The Fe–Fe bond length is 2.43 Å. There are two shorter (2.05 Å) and one longer (2.06 Å) Fe–C bond lengths. In the forty-first Fe site, Fe is bonded in a 12-coordinate geometry to twelve Fe atoms. In the forty-second Fe site, Fe is bonded in a 12-coordinate geometry to twelve Fe atoms. In the forty-third Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. In the forty-fourth Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. In the forty-fifth Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. In the forty-sixth Fe site, Fe is bonded in a distorted tetrahedral geometry to four Fe atoms. There are three inequivalent B sites. In the first B site, B is bonded in a 8-coordinate geometry to eight Fe atoms. In the second B site, B is bonded in a 8-coordinate geometry to eight Fe atoms. In the third B site, B is bonded in a 8-coordinate geometry to eight Fe atoms. There are nine inequivalent C sites. In the first C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the second C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the third C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the fourth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the fifth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the sixth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the seventh C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the eighth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms. In the ninth C site, C is bonded in a 8-coordinate geometry to eight Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on FeBi25O39 by Materials Project

Bi25FeO39 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four BiO5 square pyramids. All Fe–O bond lengths are 1.93 Å. There are twenty-five inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.63 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the third Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.47 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.60 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.64 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.60 Å. In the seventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.71 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the ninth Bi3+ site, Bi3+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. All Bi–O bond lengths are 2.12 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with five BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.58 Å. In the eleventh Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.62 Å. In the twelfth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with three BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.61 Å. In the thirteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.67 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.69 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.60 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.47 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with three BiO5 square pyramids and a cornercorner with one FeO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.63 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.61 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.67 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.10–2.72 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.46 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.63 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.59 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.66 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the seventh O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirteenth O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded to one Fe3+ and three Bi3+ atoms to form distorted corner-sharing OFeBi3 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on KCa4B22H18ClO46 by Materials Project

KCa4B22H18O46Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. K is bonded in a 8-coordinate geometry to six O and two equivalent Cl atoms. There are a spread of K–O bond distances ranging from 2.80–3.33 Å. There are one shorter (3.29 Å) and one longer (3.35 Å) K–Cl bond lengths. There are four inequivalent Ca sites. In the first Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.86 Å. In the second Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.82 Å. In the third Ca site, Ca is bonded in a 9-coordinate geometry to eight O and one Cl atom. There are a spread of Ca–O bond distances ranging from 2.45–2.78 Å. The Ca–Cl bond length is 2.76 Å. In the fourth Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.81 Å. There are twenty-two inequivalent B sites. In the first B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There is one shorter (1.48 Å) and three longer (1.49 Å) B–O bond length. In the second B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.44–1.51 Å. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the fifth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.36 Å) and one longer (1.41 Å) B–O bond length. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the eighth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.39 Å) B–O bond length. In the ninth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.52 Å. In the tenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.37 Å) and two longer (1.38 Å) B–O bond length. In the eleventh B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.37 Å) and two longer (1.38 Å) B–O bond length. In the twelfth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.39 Å) B–O bond length. In the thirteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the fourteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.47–1.49 Å. In the fifteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the sixteenth B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.35 Å) and two longer (1.39 Å) B–O bond length. In the seventeenth B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.38 Å. In the eighteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.45–1.50 Å. In the nineteenth B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.51 Å. In the twentieth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.37 Å) and one longer (1.38 Å) B–O bond length. In the twenty-first B site, B is bonded to four O atoms to form corner-sharing BO4 tetrahedra. There are a spread of B–O bond distances ranging from 1.46–1.52 Å. In the twenty-second B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. There are eighteen inequivalent H sites. In the first H site, H is bonded in a distorted bent 150 degrees geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.66 Å) H–O bond length. In the second H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.68 Å) H–O bond length. In the third H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.62 Å) H–O bond length. In the fourth H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.70 Å) H–O bond length. In the fifth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the sixth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the seventh H site, H is bonded in a distorted linear geometry to two O atoms. There is one shorter (1.01 Å) and one longer (1.62 Å) H–O bond length. In the eighth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the ninth H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.70 Å) H–O bond length. In the tenth 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 eleventh H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.66 Å) H–O bond length. In the twelfth 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 thirteenth 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 fourteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 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. In the sixteenth H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. In the seventeenth H site, H is bonded in a distorted single-bond geometry to two O atoms. There is one shorter (1.00 Å) and one longer (1.66 Å) H–O bond length. In the eighteenth 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-six inequivalent O sites. In the first O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one K, one Ca, and two B atoms. In the third O site, O is bonded in a bent 120 degrees geometry to one K, one Ca, and two B atoms. In the fourth O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the fifth O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the seventh O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the eighth O site, O is bonded in a 2-coordinate geometry to one Ca, one B, and one H atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the tenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the eleventh O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twelfth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the thirteenth O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to two B and one H atom. In the fifteenth O site, O is bonded in a 2-coordinate geometry to one Ca, one B, and one H atom. In the sixteenth O site, O is bonded in a distorted bent 120 degrees geometry to one K, one Ca, and two B atoms. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the eighteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the nineteenth O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the twentieth O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the twenty-first O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the twenty-second O site, O is bonded in a distorted bent 120 degrees geometry to two Ca and two B atoms. In the twenty-third O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twenty-fourth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twenty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the twenty-sixth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one B, and one H atom. In the twenty-seventh O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the twenty-eighth O site, O is bonded in a distorted bent 120 degrees geometry to two B and one H atom. In the twenty-ninth O site, O is bonded in a distorted trigonal planar geometry to one B and two H atoms. In the thirtieth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca and two B atoms. In the thirty-first O site, O is bonded in a bent 120 degrees geometry to one K, one Ca, and two B atoms. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to two B and one H atom. In the thirty-third O site, O is bonded in a distorted trigonal planar geometry to two B and one H atom. In the thirty-fourth O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the thirty-fifth O site, O is bonded in a distorted bent 120 degrees geometry to one B and two H atoms. In the thirty-sixth O site, O is bonded in a 2-coordinate geometry to one B and two H atoms. In the thirty-seventh O site, O is bonded in a bent 120 degrees geometry to one Ca and two B atoms. In the thirty-eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Ca, one B, and one H atom. In the thirty-ninth O site, O is bonded in a distorted water-like geometry to one Ca and two H atoms. In the fortieth O site, O is bonded in a bent 120 degrees geometry to one B and one H atom. In the forty-first O site, O is bonded in a distorted trigonal planar geometry to one B and two H atoms. In the forty-second O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the forty-third O site, O is bonded in a distorted water-like geometry to one K, one Ca, and two H atoms. In the forty-fourth O site, O is bonded in a water-like geometry to one K and two H atoms. In the forty-fifth O site, O is bonded in a bent 120 degrees geometry to one B and one H atom. In the forty-sixth O site, O is bonded in a distorted water-like geometry to one Ca and two H atoms. Cl is bonded in a 1-coordinate geometry to two equivalent K and one Ca atom.

36 MATERIALS SCIENCE↗

Materials Data on Dy3Y5O12 by Materials Project

Dy3Y5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. In the sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.27–2.35 Å. There are ten inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three DyO6 octahedra, corners with three YO6 octahedra, edges with three DyO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two DyO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three DyO6 octahedra, corners with three YO6 octahedra, edges with three DyO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, edges with two DyO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are two shorter (2.30 Å) and four longer (2.31 Å) Y–O bond lengths. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the second O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy3Y trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the third O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing ODy3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODyY3 trigonal pyramids and edges with four ODy2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing ODy2Y2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy3Y trigonal pyramids and edges with four ODy2Y2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form distorted ODyY3 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing ODy2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Dy3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing ODyY3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy3Y trigonal pyramids and edges with four ODyY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing ODy3Y trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing ODy2Y2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted corner and edge-sharing ODy3Y trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Gd3Y5O12 by Materials Project

Gd3Y5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.39 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Gd–O bond distances ranging from 2.30–2.38 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the fourth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.37 Å. In the fifth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the sixth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. There are ten inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.28–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are one shorter (2.30 Å) and five longer (2.31 Å) Y–O bond lengths. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the second O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the third O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Y13Ho3O24 by Materials Project

Ho3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form HoO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Ho–O bond lengths are 2.29 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form HoO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are four shorter (2.29 Å) and two longer (2.30 Å) Ho–O bond lengths. In the third Ho3+ site, Ho3+ is bonded to six O2- atoms to form distorted HoO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Ho–O bond distances ranging from 2.26–2.34 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three HoO6 octahedra, corners with three YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are two shorter (2.30 Å) and four longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are one shorter (2.30 Å) and five longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with three HoO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, edges with two HoO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.36 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one HoO6 octahedra, corners with five YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two HoO6 octahedra, corners with four YO6 octahedra, an edgeedge with one HoO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the sixth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the seventh O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY2Ho2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OY2Ho2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY2Ho2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Ho3+ and two Y3+ atoms to form distorted OY2Ho2 trigonal pyramids that share corners with twelve OY3Ho trigonal pyramids and edges with four OY2Ho2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY3Ho trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Ho3+ and three Y3+ atoms to form distorted OY3Ho trigonal pyramids that share corners with twelve OY2Ho2 trigonal pyramids and edges with four OY4 trigonal pyramids.

36 MATERIALS SCIENCE↗