Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “Spread”

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 775 records · Page 43

Materials Data on Ni5(Mo3Se4)8 by Materials Project

Ni5(Mo3Se4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Mo+2.25+ sites. In the first Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with three NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.71 Å. In the second Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.70 Å. In the third Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and edges with two NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.54–2.73 Å. In the fourth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.75 Å. In the fifth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.54–2.72 Å. In the sixth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with four NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.54–2.71 Å. In the seventh Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and an edgeedge with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.55–2.68 Å. In the eighth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and a faceface with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.55–2.74 Å. In the ninth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and an edgeedge with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.55–2.69 Å. In the tenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and an edgeedge with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.54–2.71 Å. In the eleventh Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with three NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.55–2.76 Å. In the twelfth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.72 Å. In the thirteenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and an edgeedge with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.54–2.71 Å. In the fourteenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and an edgeedge with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.54–2.69 Å. In the fifteenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and an edgeedge with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.59–2.73 Å. In the sixteenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with three NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.55–2.76 Å. In the seventeenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.74 Å. In the eighteenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.56–2.76 Å. In the nineteenth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and a faceface with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.55–2.76 Å. In the twentieth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.55–2.67 Å. In the twenty-first Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and a faceface with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.56–2.75 Å. In the twenty-second Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two NiSe4 tetrahedra, edges with five MoSe5 square pyramids, and a faceface with one NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.57–2.76 Å. In the twenty-third Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and edges with two NiSe4 tetrahedra. There are a spread of Mo–Se bond distances ranging from 2.54–2.71 Å. In the twenty-fourth Mo+2.25+ site, Mo+2.25+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.55–2.73 Å. There are five inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with eight MoSe5 square pyramids, edges with two MoSe5 square pyramids, and a faceface with one MoSe5 square pyramid. There are a spread of Ni–Se bond distances ranging from 2.34–2.47 Å. In the second Ni2+ site, Ni2+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with eight MoSe5 square pyramids, edges with two MoSe5 square pyramids, and a faceface with one MoSe5 square pyramid. There are a spread of Ni–Se bond distances ranging from 2.33–2.49 Å. In the third Ni2+ site, Ni2+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with eight MoSe5 square pyramids, edges with two MoSe5 square pyramids, and a faceface with one MoSe5 square pyramid. There are a spread of Ni–Se bond distances ranging from 2.34–2.46 Å. In the fourth Ni2+ site, Ni2+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with eight MoSe5 square pyramids, edges with two MoSe5 square pyramids, and a faceface with one MoSe5 square pyramid. There are a spread of Ni–Se bond distances ranging from 2.33–2.48 Å. In the fifth Ni2+ site, Ni2+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with eight MoSe5 square pyramids, edges with two MoSe5 square pyramids, and a faceface with one MoSe5 square pyramid. There are a spread of Ni–Se bond distances ranging from 2.33–2.49 Å. There are thirty-two inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the second Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the fourth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.25+ atoms. In the fifth Se2- site, Se2- is bonded in a 6-coordinate geometry to three Mo+2.25+ atoms. In the sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.25+ atoms. In the seventh Se2- site, Se2- is bonded in a 6-coordinate geometry to three Mo+2.25+ atoms. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.25+ atoms. In the ninth Se2- site, Se2- is bonded in a 1-coordinate geometry to three Mo+2.25+ and one Ni2+ atom. In the tenth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the eleventh Se2- site, Se2- is bonded in a 1-coordinate geometry to three Mo+2.25+ and one Ni2+ atom. In the twelfth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the thirteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the fourteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.25+ atoms. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.25+ atoms. In the sixteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.25+ atoms. In the seventeenth Se2- site, Se2- is bonded in a 1-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the eighteenth Se2- site, Se2- is bonded in a 1-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.25+ atoms. In the twentieth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the twenty-first Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.25+ atoms. In the twenty-second Se2- site, Se2- is bonded in a 1-coordinate geometry to three Mo+2.25+ and one Ni2+ atom. In the twenty-third Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the twenty-fourth Se2- site, Se2- is bonded in a 1-coordinate geometry to three Mo+2.25+ and one Ni2+ atom. In the twenty-fifth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mo+2.25+ and one Ni2+ atom. In the twenty-sixth Se2- site, Se2- is bonded in a 1-coordinate geom

36 MATERIALS SCIENCE↗

Materials Data on NdAl6Si30(N15O)3 by Materials Project

NdAl6Si30(N15O)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Nd is bonded in a 7-coordinate geometry to seven N atoms. There are a spread of Nd–N bond distances ranging from 2.37–2.70 Å. There are six inequivalent Al sites. In the first Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.78–1.85 Å. The Al–O bond length is 1.90 Å. In the second Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.91 Å. The Al–O bond length is 1.89 Å. In the third Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.81–1.88 Å. The Al–O bond length is 1.89 Å. In the fourth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.84–1.86 Å. In the fifth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.93 Å. In the sixth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.83–1.88 Å. There are thirty inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.82 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. The Si–O bond length is 1.75 Å. In the third Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There is two shorter (1.72 Å) and one longer (1.79 Å) Si–N bond length. The Si–O bond length is 1.72 Å. In the fourth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There is two shorter (1.70 Å) and one longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.85 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.80 Å. In the sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN3O tetrahedra. There is two shorter (1.71 Å) and two longer (1.78 Å) Si–N bond length. In the seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.79 Å. In the eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with four AlN3O tetrahedra and corners with four SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.83 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the tenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.78 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.80 Å. In the twelfth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is three shorter (1.76 Å) and one longer (1.78 Å) Si–N bond length. In the thirteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Si–N bond length. In the fourteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.68–1.79 Å. In the fifteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the sixteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the seventeenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.79 Å. In the eighteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.77 Å. In the nineteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.84 Å. In the twentieth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the twenty-first Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Si–N bond length. In the twenty-second Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. All Si–N bond lengths are 1.76 Å. In the twenty-third Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.81 Å. In the twenty-fourth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the twenty-fifth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the twenty-sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the twenty-eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.79 Å. In the twenty-ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.81 Å. In the thirtieth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.82 Å. There are forty-five inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the third N site, N is bonded in a distorted trigonal planar geometry to one Nd and three Si atoms. In the fourth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the fifth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the sixth N site, N is bonded in a 4-coordinate geometry to one Nd, two Al, and one Si atom. In the seventh N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the ninth N site, N is bonded in a trigonal non-coplanar geometry to one Al and two Si atoms. In the tenth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the eleventh N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the twelfth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirteenth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the fourteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fifteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the sixteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the seventeenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the nineteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twentieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-first N site, N is bonded in a 4-coordinate geometry to one Nd and three Si atoms. In the twenty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fourth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fifth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-sixth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-seventh N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-eighth N site, N is bonded in a distorted trigonal planar geometry to one Nd and three Si atoms. In the twenty-ninth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirtieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-fourth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the thirty-fifth N site, N is bonded to one Nd, one Al, and two Si atoms to form NNdAlSi2 tetrahedra that share a cornercorner with one NNdAl2Si tetrahedra and a cornercorner with one NNdAlSi2 trigonal pyramid. In the thirty-sixth N site, N is bonded to one Nd, one Al, and two Si atoms to form dist

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn9(P2O7)8 by Materials Project

Li5Mn9(P2O7)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded in a 4-coordinate geometry to three O atoms. There are one shorter (1.93 Å) and two longer (2.07 Å) Li–O bond lengths. In the second Li site, Li is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the third 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 2.05–2.29 Å. In the fourth Li site, Li is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–80°. There are a spread of Li–O bond distances ranging from 1.94–2.45 Å. There are nine inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.95–2.31 Å. In the second Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.91–2.47 Å. In the third Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.94–2.46 Å. In the fourth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 1.89–2.56 Å. In the fifth Mn site, Mn is bonded in a 4-coordinate geometry to six O atoms. There are a spread of Mn–O bond distances ranging from 1.94–2.53 Å. In the sixth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.89–2.48 Å. In the seventh Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 1.93–2.46 Å. In the eighth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.91–2.47 Å. In the ninth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with six PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. There are fifty-six inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Mn and one P atom. In the third O site, O is bonded in a distorted T-shaped geometry to two Li and one P atom. In the fourth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the fifth O site, O is bonded in a distorted water-like geometry to one Mn and one P atom. In the sixth O site, O is bonded in a bent 120 degrees geometry to one Mn and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Mn, and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the tenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the eleventh O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the twelfth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the thirteenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the eighteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to two Mn and one P atom. In the twenty-first O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twenty-fifth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-sixth O site, O is bonded in a water-like geometry to one Mn and one P atom. In the twenty-seventh O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the twenty-eighth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-ninth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the thirtieth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the thirty-first O site, O is bonded in a water-like geometry to one Mn and one P atom. In the thirty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the thirty-third O site, O is bonded in a 2-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on Mg2TiO4 by Materials Project

Mg2TiO4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.14 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.13 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.14 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.12 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.02 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. All Mg–O bond lengths are 2.00 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. All Mg–O bond lengths are 2.00 Å. In the tenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are three shorter (2.00 Å) and one longer (2.01 Å) Mg–O bond lengths. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. All Mg–O bond lengths are 2.00 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.12 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. All Mg–O bond lengths are 2.00 Å. In the seventeenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Mg–O bond lengths. In the eighteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 1.99–2.01 Å. In the nineteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There is one shorter (1.99 Å) and three longer (2.00 Å) Mg–O bond length. In the twentieth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.14 Å. In the twenty-first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.13 Å. In the twenty-second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the twenty-third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.13 Å. In the twenty-fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.13 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the ninete

36 MATERIALS SCIENCE↗

Materials Data on Na7Bi3P12(Pb5O24)2 by Materials Project

Na7Bi3P12(Pb5O24)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.89 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–3.05 Å. In the third Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.53–2.91 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–3.06 Å. In the fifth Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.50–2.99 Å. In the sixth Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–3.00 Å. In the seventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.93 Å. There are ten inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.31–2.82 Å. In the second Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.31–2.83 Å. In the third Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–3.07 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.28–3.00 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.31–3.02 Å. In the sixth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–3.04 Å. In the seventh Pb2+ site, Pb2+ is bonded to six O2- atoms to form distorted PbO6 pentagonal pyramids that share a cornercorner with one PbO6 pentagonal pyramid, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Pb–O bond distances ranging from 2.31–2.78 Å. In the eighth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.32–3.07 Å. In the ninth Pb2+ site, Pb2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Pb–O bond distances ranging from 2.27–3.07 Å. In the tenth Pb2+ site, Pb2+ is bonded to six O2- atoms to form distorted PbO6 pentagonal pyramids that share a cornercorner with one PbO6 pentagonal pyramid, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.98 Å. There are three inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–3.06 Å. In the second Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Bi–O bond distances ranging from 2.31–3.01 Å. In the third Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Bi–O bond distances ranging from 2.36–2.85 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid. All P–O bond lengths are 1.56 Å. In the second P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There is three shorter (1.56 Å) and one longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the sixth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid and an edgeedge with one PbO6 pentagonal pyramid. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two PbO6 pentagonal pyramids. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share an edgeedge with one PbO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the twelfth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one Bi3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Pb2+, one Bi3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Na1+, one Bi3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one Pb2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to two Pb2+, one Bi3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one Pb2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Na1+, one Bi3+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to two Pb2+, one Bi3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb2+, one Bi3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Bi3+, and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Na1+, two Pb2+, and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Pb2+, one Bi3+, and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Pb2+, and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Pb2+, one Bi3+, and one P5+ atom.

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 Na2Sc4Zn2(MoO4)9 by Materials Project

Na2Sc4Zn2(MoO4)9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.60 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.62 Å. In the third Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.61 Å. In the fourth Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.53–2.60 Å. There are eight inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.08–2.14 Å. In the second Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.06–2.14 Å. In the third Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.07–2.13 Å. In the fourth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.07–2.13 Å. In the fifth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.07–2.14 Å. In the sixth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.08–2.12 Å. In the seventh Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.06–2.15 Å. In the eighth Sc3+ site, Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.09–2.12 Å. There are eighteen inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. In the second Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.82 Å. In the third Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. In the fourth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the fifth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the sixth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is three shorter (1.79 Å) and one longer (1.80 Å) Mo–O bond length. In the seventh Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the eighth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is three shorter (1.79 Å) and one longer (1.80 Å) Mo–O bond length. In the ninth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with two ScO6 octahedra and corners with two ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.78–1.81 Å. In the tenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the eleventh Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the twelfth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is two shorter (1.79 Å) and two longer (1.80 Å) Mo–O bond length. In the thirteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the fourteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is two shorter (1.79 Å) and two longer (1.80 Å) Mo–O bond length. In the fifteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There is two shorter (1.79 Å) and two longer (1.80 Å) Mo–O bond length. In the sixteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 21–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the seventeenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 19–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. In the eighteenth Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with three ScO6 octahedra. The corner-sharing octahedra tilt angles range from 20–39°. There are a spread of Mo–O bond distances ranging from 1.77–1.82 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.14 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.15 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.14 Å. There are seventy-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mo6+, and one Zn2+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Sc3+, and one Mo6+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sc3+ and one Mo6+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Zn2+ atom. In the thirty-second O2- site, O2-

36 MATERIALS SCIENCE↗

Materials Data on Na3Ca10Mn7V12O48 by Materials Project

Na3Ca10V12Mn7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.65 Å. In the second Na1+ site, Na1+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.53–2.70 Å. In the third Na1+ site, Na1+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.52–2.66 Å. There are ten inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.64 Å. In the second Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.44–2.63 Å. In the third Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.64 Å. In the fourth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.61 Å. In the fifth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.62 Å. In the sixth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.65 Å. In the seventh Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.60 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.31 Å. In the ninth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.44–2.63 Å. In the tenth Ca2+ site, Ca2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.60 Å. There are twelve inequivalent V+4.92+ sites. In the first V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of V–O bond distances ranging from 1.73–1.78 Å. In the second V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of V–O bond distances ranging from 1.74–1.77 Å. In the third V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There is one shorter (1.74 Å) and three longer (1.76 Å) V–O bond length. In the fourth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of V–O bond distances ranging from 1.74–1.77 Å. In the fifth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.80–1.85 Å. In the sixth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of V–O bond distances ranging from 1.74–1.77 Å. In the seventh V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There is one shorter (1.74 Å) and three longer (1.76 Å) V–O bond length. In the eighth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of V–O bond distances ranging from 1.74–1.76 Å. In the ninth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.74–1.77 Å. In the tenth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of V–O bond distances ranging from 1.74–1.77 Å. In the eleventh V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of V–O bond distances ranging from 1.74–1.77 Å. In the twelfth V+4.92+ site, V+4.92+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one CaO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There is one shorter (1.73 Å) and three longer (1.76 Å) V–O bond length. There are seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.13–2.23 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.12–2.22 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.17–2.20 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.12–2.20 Å. In the sixth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.22 Å. In the seventh Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.15–2.20 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one V+4.92+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one V+4.92+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the nineteenth O2- site, O2- is bonded to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom to form distorted corner-sharing ONaCaMnV trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one V+4.92+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one V+4.92+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one V+4.92+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the thirty-eighth O2- site, O2- is bonded to one Na1+, one Ca2+, one V+4.92+, and one Mn2+ atom to form distorted corner-sharing ONaCaMnV trigonal pyramids. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one V+4.92+, and one Mn2+ atom. In the fortieth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Na7Al12Si12H6ClO48 by Materials Project

Na7Al12Si12H6O48Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.31–2.92 Å. In the second Na site, Na is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.32–2.92 Å. In the third Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.34–2.78 Å. In the fourth Na site, Na is bonded in a 6-coordinate geometry to one H and five O atoms. The Na–H bond length is 2.38 Å. There are a spread of Na–O bond distances ranging from 2.27–2.74 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to three O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.38–2.74 Å. The Na–Cl bond length is 2.55 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to one H and five O atoms. The Na–H bond length is 2.34 Å. There are a spread of Na–O bond distances ranging from 2.22–2.81 Å. In the seventh Na site, Na is bonded in a 5-coordinate geometry to one H, three O, and one Cl atom. The Na–H bond length is 2.60 Å. There are a spread of Na–O bond distances ranging from 2.31–2.83 Å. The Na–Cl bond length is 2.53 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded to four O atoms to form distorted AlO4 trigonal pyramids that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.88 Å. In the second Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.91 Å. In the third Al site, Al is bonded to four O atoms to form distorted AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.69–1.95 Å. In the fourth Al site, Al is bonded to four O atoms to form distorted AlO4 trigonal pyramids that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.90 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.70–1.92 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.77 Å. In the ninth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.77 Å. In the tenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.77 Å. In the eleventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There is two shorter (1.73 Å) and two longer (1.78 Å) Al–O bond length. In the twelfth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.91 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.65 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There is one shorter (1.61 Å) and three longer (1.64 Å) Si–O bond length. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.59–1.77 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.57–1.73 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.60–1.76 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.59–1.76 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one AlO4 trigonal pyramid. There are a spread of Si–O bond distances ranging from 1.60–1.76 Å. There are six inequivalent H sites. In the first H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.98 Å. In the second 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 third 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 fourth H site, H is bonded in a single-bond geometry to one Na and one O atom. The H–O bond length is 0.98 Å. In the fifth H site, H is bonded in a single-bond geometry to one Na and one O atom. The H–O bond length is 0.98 Å. In the sixth H site, H is bonded in a single-bond geometry to one Na and one O atom. The H–O bond length is 0.99 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Al, one Si, and one H atom. In the second O site, O is bonded in a 3-coordinate geometry to one Na, one Al, one Si, and one H atom. In the third O site, O is bonded in a 3-coordinate geometry to one Na, one Al, one Si, and one H atom. In the fourth O site, O is bonded in a 1-coordinate geometry to one Na, one Al, one Si, and one H atom. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the seventh O site, O is bonded in a linear geometry to one Al and one Si atom. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the tenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the eleventh O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the twelfth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Al, and one Si atom. In the fifteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the eighteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Al, and one Si atom. In the nineteenth O site, O is bonded in a 2-coordinate geometry to one Na, one Al, and one Si atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the twenty-fifth O site, O is bonded in a 1-coordinate geometry to one Na, one Al, one Si, and one H atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to two Na, one Al, and one Si atom. In the twenty-seventh O site, O is bonded in a 3-coordinate geometry to two Na, one Al, and one Si atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the twenty-ninth O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirtieth O site, O is bonded in a 3-coordinate geometry to one Na, one Al, and one Si atom. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the thirty-second O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirty-third O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-fourth O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirty-fifth O site, O is bonded in a distorted T-shaped geometry to one Na, one Al, and one Si atom. In the thirty-sixth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Al and one Si atom. In the thirty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to one Na, one Al, and one Si atom. In the fortieth O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-first O site, O is bonded in a bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-second O site, O is bonded in a 3-coordinate geometry to one Al, one Si, and one H atom. In the forty-third O site, O is bonded in a distorted bent 150 degrees geometry to one Na, one Al, and one Si atom. In the forty-fourth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the forty-fifth O site, O is bonded in a bent 150 degrees geometry to one Al and one Si atom. In the forty-sixth

36 MATERIALS SCIENCE↗

Materials Data on Cd9(InSe2)20 by Materials Project

Cd9(InSe2)20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form distorted CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with three InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.64–3.17 Å. In the second Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form distorted CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with four InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.63–3.28 Å. In the third Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form distorted CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with three InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.64–3.17 Å. In the fourth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with two InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.74–2.87 Å. In the fifth Cd2+ site, Cd2+ is bonded in a 5-coordinate geometry to five Se+1.85- atoms. There are a spread of Cd–Se bond distances ranging from 2.63–3.35 Å. In the sixth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with four InSe5 trigonal bipyramids, and edges with three InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.71–2.88 Å. In the seventh Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with four InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.73–2.87 Å. In the eighth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with four InSe5 trigonal bipyramids, and edges with three InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.69–2.89 Å. In the ninth Cd2+ site, Cd2+ is bonded to five Se+1.85- atoms to form CdSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with four InSe5 trigonal bipyramids, and edges with four InSe5 trigonal bipyramids. There are a spread of Cd–Se bond distances ranging from 2.72–2.88 Å. There are twenty inequivalent In+2.80+ sites. In the first In+2.80+ site, In+2.80+ is bonded in a 5-coordinate geometry to five Se+1.85- atoms. There are a spread of In–Se bond distances ranging from 2.66–3.30 Å. In the second In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.64–3.06 Å. In the third In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.13 Å. In the fourth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.05 Å. In the fifth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.67–3.09 Å. In the sixth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.06 Å. In the seventh In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.04 Å. In the eighth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.06 Å. In the ninth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.66–3.02 Å. In the tenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.62–3.11 Å. In the eleventh In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.07 Å. In the twelfth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.63–3.03 Å. In the thirteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.65–2.99 Å. In the fourteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.65–3.02 Å. In the fifteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.00 Å. In the sixteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share a cornercorner with one CdSe5 trigonal bipyramid, corners with seven InSe5 trigonal bipyramids, and edges with two CdSe5 trigonal bipyramids. There are a spread of In–Se bond distances ranging from 2.66–3.01 Å. In the seventeenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.65–3.09 Å. In the eighteenth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with eight InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.66–3.09 Å. In the nineteenth In+2.80+ site, In+2.80+ is bonded in a 5-coordinate geometry to five Se+1.85- atoms. There are a spread of In–Se bond distances ranging from 2.66–3.28 Å. In the twentieth In+2.80+ site, In+2.80+ is bonded to five Se+1.85- atoms to form distorted InSe5 trigonal bipyramids that share corners with two CdSe5 trigonal bipyramids, corners with six InSe5 trigonal bipyramids, and an edgeedge with one CdSe5 trigonal bipyramid. There are a spread of In–Se bond distances ranging from 2.65–3.02 Å. There are forty inequivalent Se+1.85- sites. In the first Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra and corners with four SeCdIn3 trigonal pyramids. In the second Se+1.85- site, Se+1.85- is bonded in a 4-coordinate geometry to one Cd2+ and three In+2.80+ atoms. In the third Se+1.85- site, Se+1.85- is bonded in a distorted trigonal non-coplanar geometry to one Cd2+ and two In+2.80+ atoms. In the fourth Se+1.85- site, Se+1.85- is bonded in a 3-coordinate geometry to three In+2.80+ atoms. In the fifth Se+1.85- site, Se+1.85- is bonded in a distorted trigonal non-coplanar geometry to one Cd2+ and two In+2.80+ atoms. In the sixth Se+1.85- site, Se+1.85- is bonded in a 4-coordinate geometry to one Cd2+ and three In+2.80+ atoms. In the seventh Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra, corners with six SeCdIn3 trigonal pyramids, and an edgeedge with one SeCd2In2 tetrahedra. In the eighth Se+1.85- site, Se+1.85- is bonded in a 4-coordinate geometry to two Cd2+ and two In+2.80+ atoms. In the ninth Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share corners with two SeCd2In2 tetrahedra and corners with six SeCdIn3 trigonal pyramids. In the tenth Se+1.85- site, Se+1.85- is bonded to two Cd2+ and two In+2.80+ atoms to form a mixture of edge and corner-sharing SeCd2In2 tetrahedra. In the eleventh Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra, corners with six SeCdIn3 trigonal pyramids, and an edgeedge with one SeCd2In2 tetrahedra. In the twelfth Se+1.85- site, Se+1.85- is bonded in a distorted trigonal non-coplanar geometry to one Cd2+ and two In+2.80+ atoms. In the thirteenth Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share corners with two SeCd2In2 tetrahedra and corners with six SeCdIn3 trigonal pyramids. In the fourteenth Se+1.85- site, Se+1.85- is bonded in a distorted T-shaped geometry to one Cd2+ and two In+2.80+ atoms. In the fifteenth Se+1.85- site, Se+1.85- is bonded to one Cd2+ and three In+2.80+ atoms to form distorted SeCdIn3 trigonal pyramids that share a cornercorner with one SeCd2In2 tetrahedra, corners with seven SeCdIn3 trigonal pyramids, and an edgeedge with one SeCd2In2 tetrahedra. In the sixteenth Se+1.

36 MATERIALS SCIENCE↗

Materials Data on Zn(FeO2)2 by Materials Project

ZnFe2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.11 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.09 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.10 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.14 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.08 Å. In the ninth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the eleventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is two shorter (1.92 Å) and two longer (1.95 Å) Fe–O bond length. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.04 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.90–1.96 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.02 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the nineteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Fe–O bond distances ranging from 1.88–1.99 Å. In the twentieth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Fe–O bond distances ranging from 1.89–1.95 Å. There are ten inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Zn–O bond distances ranging from 1.96–2.02 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Zn–O bond distances ranging from 1.97–1.99 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Zn–O bond distances ranging from 1.97–2.03 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.13 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.14 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.18 Å. In the seventh Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.14 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.17 Å. In the ninth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.01–2.20 Å. In the tenth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.02–2.19 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Fe3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twent

36 MATERIALS SCIENCE↗

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.96–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.04 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the tenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. In the twenty-first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti

36 MATERIALS SCIENCE↗

Materials Data on La26B8O51 by Materials Project

La26O27(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-six inequivalent La sites. In the first La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.39–2.69 Å. In the second La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.27–3.17 Å. In the third La site, La is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.43–2.73 Å. In the fourth La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.34–2.61 Å. In the fifth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.28–3.20 Å. In the sixth La site, La is bonded in a 8-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.41–2.69 Å. In the seventh La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.26–2.89 Å. In the eighth La site, La is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.45–2.74 Å. In the ninth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.47–2.79 Å. In the tenth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.34–2.98 Å. In the eleventh La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.35–2.72 Å. In the twelfth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.29–3.01 Å. In the thirteenth La site, La is bonded to seven O atoms to form distorted edge-sharing LaO7 pentagonal bipyramids. There are a spread of La–O bond distances ranging from 2.44–2.67 Å. In the fourteenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.41–2.82 Å. In the fifteenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.38–2.96 Å. In the sixteenth La site, La is bonded to seven O atoms to form distorted edge-sharing LaO7 pentagonal bipyramids. There are a spread of La–O bond distances ranging from 2.39–2.69 Å. In the seventeenth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.29–3.01 Å. In the eighteenth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.38–2.72 Å. In the nineteenth La site, La is bonded in a 6-coordinate geometry to six O atoms. There are a spread of La–O bond distances ranging from 2.38–2.52 Å. In the twentieth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.44–2.74 Å. In the twenty-first La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.35–2.96 Å. In the twenty-second La site, La is bonded in a 8-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.41–2.63 Å. In the twenty-third La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.29–3.15 Å. In the twenty-fourth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.38–2.68 Å. In the twenty-fifth La site, La is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of La–O bond distances ranging from 2.31–3.15 Å. In the twenty-sixth La site, La is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of La–O bond distances ranging from 2.40–2.69 Å. There are eight inequivalent B sites. In the first 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. In the second B site, B is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. 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 1.38–1.41 Å. In the sixth B site, B is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the seventh B site, B is bonded in a trigonal planar geometry to three O atoms. All B–O bond lengths are 1.39 Å. In the eighth 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 1.38–1.40 Å. There are fifty-one inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the second O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the third O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the fourth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the fifth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the seventh O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the eighth O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the ninth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the tenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the eleventh O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the fourteenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the fifteenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the sixteenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the seventeenth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the eighteenth O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the nineteenth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the twenty-first O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the twenty-third O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-fourth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-fifth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-seventh O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-eighth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twenty-ninth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the thirty-first O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the thirty-second O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the thirty-third O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-fourth O site, O is bonded to four La atoms to form a mixture of distorted edge and corner-sharing OLa4 tetrahedra. In the thirty-fifth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-seventh O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-eighth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the thirty-ninth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the fortieth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the forty-first O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the forty-second O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-third O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the forty-fourth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-fifth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-sixth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the forty-seventh O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the forty-eighth O site, O is bonded in a distorted single-bond geometry to three La and one B atom. In the forty-ninth O site, O is bonded in a distorted single-bond geometry to four La and one B atom. In the fiftieth O site, O is bonded to four La atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the fifty-first O site, O is bonded in a distorted single-bond geometry to four La and one B atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba16S16O59 by Materials Project

Ba16S16O59 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ba sites. In the first Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.28 Å. In the second Ba site, Ba is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ba–O bond distances ranging from 2.73–3.10 Å. In the third Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.29 Å. In the fourth Ba site, Ba is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.20 Å. In the fifth Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.37 Å. In the sixth Ba site, Ba is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.31 Å. In the seventh Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.32 Å. In the eighth Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.31 Å. In the ninth Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.35 Å. In the tenth Ba site, Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.37 Å. In the eleventh Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.74–3.31 Å. In the twelfth Ba site, Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.38 Å. In the thirteenth Ba site, Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.43 Å. In the fourteenth Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.32 Å. In the fifteenth Ba site, Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.44 Å. In the sixteenth Ba site, Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.37 Å. There are sixteen inequivalent S sites. In the first S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the second S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the third S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the fourth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the fifth S site, S is bonded in a trigonal non-coplanar geometry to three O atoms. There is one shorter (1.54 Å) and two longer (1.55 Å) S–O bond length. In the sixth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the seventh S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the eighth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the ninth S site, S is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of S–O bond distances ranging from 1.54–1.56 Å. In the tenth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the eleventh S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the twelfth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the thirteenth S site, S is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of S–O bond distances ranging from 1.53–1.56 Å. In the fourteenth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the fifteenth S site, S is bonded in a trigonal non-coplanar geometry to three O atoms. There is one shorter (1.53 Å) and two longer (1.55 Å) S–O bond length. In the sixteenth S site, S is bonded in a trigonal non-coplanar geometry to three O atoms. There is one shorter (1.54 Å) and two longer (1.55 Å) S–O bond length. There are fifty-nine inequivalent O sites. In the first O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the second O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the third O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fourth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the sixth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the seventh O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the eighth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the ninth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the tenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the eleventh O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twelfth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fourteenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifteenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the sixteenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the seventeenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the eighteenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the nineteenth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twentieth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-first O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-second O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-third O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-fourth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-fifth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-sixth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-seventh O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-eighth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the twenty-ninth O site, O is bonded in a distorted tetrahedral geometry to three Ba and one S atom. In the thirtieth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-first O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-second O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-third O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-fourth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-fifth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-sixth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-seventh O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-eighth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the thirty-ninth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fortieth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-first O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-second O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-third O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-fourth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-fifth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-sixth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-seventh O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-eighth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the forty-ninth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fiftieth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-first O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-second O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-third O site, O is bonded in a 4-coordinate geometry to three Ba and one S atom. In the fifty-fourth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-fifth O site, O is bonded in a distorted tetrahedral geometry to three Ba and one S atom. In the fifty-sixth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-seventh O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-eighth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom. In the fifty-ninth O site, O is bonded in a distorted single-bond geometry to three Ba and one S atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.19 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.27 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.86–2.28 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.17 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.33 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.31 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.58 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–1.97 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.97 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.88–1.98 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–1.97 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.04 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of P–O bond distances ranging from 1.46–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–34°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–38°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–38°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 15

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.28 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.32 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.28 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.15 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.24 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.37 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.14 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 1.91–2.72 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.98 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.96 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.92 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–1.98 Å. In the fifth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the sixth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.90 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–34°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–36°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–37°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 26–32°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–42°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Ba4Li6Ti19O44 by Materials Project

Li6Ba4Ti19O44 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.40 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with five TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–49°. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.29 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–48°. There are a spread of Ba–O bond distances ranging from 2.77–3.04 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–49°. There are a spread of Ba–O bond distances ranging from 2.79–3.11 Å. In the third Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–3.25 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ba–O bond distances ranging from 2.81–3.08 Å. There are nineteen inequivalent Ti+3.89+ sites. In the first Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. In the second Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Ti–O bond distances ranging from 1.94–2.13 Å. In the third Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.09 Å. In the fourth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Ti–O bond distances ranging from 1.79–2.18 Å. In the fifth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–53°. There are a spread of Ti–O bond distances ranging from 1.84–2.16 Å. In the sixth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with two TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the seventh Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the eighth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the ninth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the tenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the eleventh Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the twelfth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–O bond distances ranging from 1.97–2.01 Å. In the thirteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fourteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Ti–O bond distances ranging from 1.82–2.20 Å. In the fifteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the sixteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–52°. There are a spread of Ti–O bond distances ranging from 1.97–2.13 Å. In the seventeenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.85–2.22 Å. In the eighteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the nineteenth Ti+3.89+ site, Ti+3.89+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with seven TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–59°. There are a spread of Ti–O bond distances ranging from 1.81–2.23 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti+3.89+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.89+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti+3.89+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+ and three Ti+3.89+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti+3.89+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Ba2+, and two Ti+3.89+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.89+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+ and three Ti+3.89+ atoms to form distorted edge-sharing OLi2Ti3 square pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and three Ti+3.89+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Ti+3.89+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti+3.89+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Ti+3.89+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+ and three

36 MATERIALS SCIENCE↗

Materials Data on Li8ScFe7(SiO3)16 by Materials Project

Li8ScFe7(SiO3)16 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.57 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.55 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.58 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.59 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 2.07–2.57 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 2.07–2.57 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 2.07–2.59 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 2.07–2.57 Å. Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Sc–O bond distances ranging from 2.00–2.22 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ScO6 octahedra, and an edgeedge with one FeO6 octahedra. 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 FeO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one ScO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–61°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one ScO6 octahedra, corners with two FeO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Sc3+, one Fe3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one F

36 MATERIALS SCIENCE↗