Search NASA⌕ Search

SEARCH · Search NASA

Results for “five”

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 199 records · Page 11

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 Li20B54O by Materials Project

Li20B54O is Magnesium tetraboride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.32–2.73 Å. In the second Li1+ site, Li1+ is bonded in a single-bond geometry to three B+0.33- and one O2- atom. There are a spread of Li–B bond distances ranging from 2.59–2.78 Å. The Li–O bond length is 1.91 Å. In the third Li1+ site, Li1+ is bonded in a 1-coordinate geometry to seven B+0.33- and one O2- atom. There are a spread of Li–B bond distances ranging from 2.28–2.71 Å. The Li–O bond length is 2.12 Å. In the fourth Li1+ site, Li1+ is bonded in a single-bond geometry to one B+0.33- and one O2- atom. The Li–B bond length is 2.74 Å. The Li–O bond length is 1.91 Å. In the fifth Li1+ site, Li1+ is bonded in a 12-coordinate geometry to eighteen B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.51–2.76 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one Li1+ and twelve B+0.33- atoms. The Li–Li bond length is 2.39 Å. There are a spread of Li–B bond distances ranging from 2.24–2.71 Å. In the seventh Li1+ site, Li1+ is bonded in a 10-coordinate geometry to twelve B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.41–2.80 Å. In the eighth Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.27–2.63 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted single-bond geometry to five B+0.33- and one O2- atom. There are a spread of Li–B bond distances ranging from 2.34–2.61 Å. The Li–O bond length is 2.11 Å. In the tenth Li1+ site, Li1+ is bonded in a 9-coordinate geometry to one Li1+ and eight B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.33–2.40 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted single-bond geometry to eight B+0.33- and one O2- atom. There are a spread of Li–B bond distances ranging from 2.40–2.74 Å. The Li–O bond length is 2.20 Å. In the twelfth Li1+ site, Li1+ is bonded in a 12-coordinate geometry to twelve B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.39–2.65 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 10-coordinate geometry to one Li1+ and eighteen B+0.33- atoms. The Li–Li bond length is 2.58 Å. There are a spread of Li–B bond distances ranging from 2.39–2.88 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.46–2.63 Å. In the fifteenth Li1+ site, Li1+ is bonded to eight B+0.33- atoms to form edge-sharing LiB8 hexagonal bipyramids. There are a spread of Li–B bond distances ranging from 2.24–2.29 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.23–2.42 Å. In the seventeenth Li1+ site, Li1+ is bonded in a distorted single-bond geometry to six B+0.33- and one O2- atom. There are a spread of Li–B bond distances ranging from 2.37–2.73 Å. The Li–O bond length is 2.17 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 9-coordinate geometry to eight B+0.33- atoms. There are a spread of Li–B bond distances ranging from 2.36–2.66 Å. In the nineteenth Li1+ site, Li1+ is bonded in a distorted single-bond geometry to one Li1+, eight B+0.33-, and one O2- atom. There are a spread of Li–B bond distances ranging from 2.39–2.52 Å. The Li–O bond length is 2.14 Å. In the twentieth Li1+ site, Li1+ is bonded to eight B+0.33- atoms to form distorted edge-sharing LiB8 hexagonal bipyramids. There are a spread of Li–B bond distances ranging from 2.23–2.41 Å. There are fifty-four inequivalent B+0.33- sites. In the first B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.74–1.77 Å. In the second B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.70–1.76 Å. In the third B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.69–1.77 Å. In the fourth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.69–1.82 Å. In the fifth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.69–1.80 Å. In the sixth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.70–1.80 Å. In the seventh B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.73–1.80 Å. In the eighth B+0.33- site, B+0.33- is bonded in a 6-coordinate geometry to one Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.75–1.79 Å. In the ninth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.76–1.79 Å. In the tenth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.69–1.76 Å. In the eleventh B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.77 Å. In the twelfth B+0.33- site, B+0.33- is bonded in a 6-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.69–1.77 Å. In the thirteenth B+0.33- site, B+0.33- is bonded in a 10-coordinate geometry to five Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.70–1.76 Å. In the fourteenth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.73–1.80 Å. In the fifteenth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.73–1.80 Å. In the sixteenth B+0.33- site, B+0.33- is bonded in a 6-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.74–1.80 Å. In the seventeenth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.69–1.76 Å. In the eighteenth B+0.33- site, B+0.33- is bonded in a 6-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.76 Å. In the nineteenth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.68–1.75 Å. In the twentieth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.74–1.76 Å. In the twenty-first B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There is two shorter (1.73 Å) and one longer (1.76 Å) B–B bond length. In the twenty-second B+0.33- site, B+0.33- is bonded in a 6-coordinate geometry to two Li1+ and five B+0.33- atoms. There is one shorter (1.74 Å) and two longer (1.75 Å) B–B bond length. In the twenty-third B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.70–1.75 Å. In the twenty-fourth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.73–1.79 Å. In the twenty-fifth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.70–1.76 Å. In the twenty-sixth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. Both B–B bond lengths are 1.76 Å. In the twenty-seventh B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There is one shorter (1.76 Å) and one longer (1.77 Å) B–B bond length. In the twenty-eighth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There is one shorter (1.74 Å) and one longer (1.77 Å) B–B bond length. In the twenty-ninth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There is one shorter (1.70 Å) and one longer (1.79 Å) B–B bond length. In the thirtieth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There is one shorter (1.71 Å) and one longer (1.81 Å) B–B bond length. In the thirty-first B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. There is one shorter (1.71 Å) and one longer (1.79 Å) B–B bond length. In the thirty-second B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.76–1.79 Å. In the thirty-third B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There is one shorter (1.76 Å) and one longer (1.81 Å) B–B bond length. In the thirty-fourth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There are a spread of B–B bond distances ranging from 1.74–1.80 Å. In the thirty-fifth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. The B–B bond length is 1.69 Å. In the thirty-sixth B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. The B–B bond length is 1.70 Å. In the thirty-seventh B+0.33- site, B+0.33- is bonded in a 7-coordinate geometry to two Li1+ and five B+0.33- atoms. The B–B bond length is 1.70 Å. In the thirty-eighth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There is one shorter (1.73 Å) and one longer (1.76 Å) B–B bond length. In the thirty-ninth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. There is one shorter (1.70 Å) and one longer (1.75 Å) B–B bond length. In the fortieth B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. The B–B bond length is 1.74 Å. In the forty-first B+0.33- site, B+0.33- is bonded in a 10-coordinate geometry to five Li1+ and five B+0.33- atoms. The B–B bond length is 1.75 Å. In the forty-second B+0.33- site, B+0.33- is bonded in a 9-coordinate geometry to four Li1+ and five B+0.33- atoms. The B–B bond length is 1.77 Å. In the forty-third B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There is one shorter (1.76 Å) and one longer (1.81 Å) B–B bond length. In the forty-fourth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There is one shorter (1.75 Å) and one longer (1.81 Å) B–B bond length. In the forty-fifth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. There is one shorter (1.75 Å) and one longer (1.81 Å) B–B bond length. In the forty-sixth B+0.33- site, B+0.33- is bonded in a 8-coordinate geometry to three Li1+ and five B+0.33- atoms. The B–B bond length is 1.70

36 MATERIALS SCIENCE↗

Materials Data on Li6Fe5O12 by Materials Project

Li6Fe5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.08–2.29 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the seventh Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Li–O bond distances ranging from 2.03–2.45 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. There are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Fe–O bond distances ranging from 2.01–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.02–2.11 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Fe–O bond distances ranging from 1.90–2.10 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 2.01–2.07 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Fe–O bond distances ranging from 1.91–2.05 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Fe–O bond distances ranging from 1.85–2.05 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Fe–O bond distances ranging from 1.88–2.08 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with three FeO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Fe–O bond distances ranging from 1.89–1.94 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi2Fe3 square pyramids, edges with five OLi3Fe3 octahedra, and edges with three OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the second O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the third O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the fourth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi3Fe3 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi3Fe3 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the fifth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi3Fe3 octahedra, corners with three OLi2Fe3 square pyramids, edges with six OLi3Fe3 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the seventh O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with three OLi3Fe3 octahedra, corners with six OLi2Fe3 square pyramids, edges with five OLi3Fe3 octahedra, and edges with three OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the eighth O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O site, O is bonded to three Li and two Fe atoms to form OLi3Fe2 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi3Fe2 square pyramids, edges with five OLi4Fe2 octahedra, and edges with three OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 6–7°. In the tenth O site, O is bonded to three Li and two Fe atoms to form OLi3Fe2 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi2Fe3 square pyramids, edges with five OLi4Fe2 octahedra, and edges with three OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the eleventh O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the twelfth O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with six OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the thirteenth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with three OLi4Fe2 octahedra, corners with three OLi3Fe2 square pyramids, edges with seven OLi4Fe2 octahedra, and edges with five OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. In the fourteenth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with three OLi4Fe2 octahedra, corners with six OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with two OLi2Fe3 square pyramids. The corner-sharing octahe

36 MATERIALS SCIENCE↗

Materials Data on Li6Cr5O12 by Materials Project

Li6Cr5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.02–2.31 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Li–O bond distances ranging from 2.07–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.03–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five CrO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.03–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.05–2.33 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five CrO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CrO6 octahedra, edges with five LiO6 octahedra, and edges with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.01–2.27 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. There are ten inequivalent Cr+3.60+ sites. In the first Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Cr–O bond distances ranging from 1.99–2.02 Å. In the second Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Cr–O bond distances ranging from 1.98–2.02 Å. In the third Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Cr–O bond distances ranging from 1.97–2.04 Å. In the fourth Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. In the fifth Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. In the sixth Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Cr–O bond distances ranging from 1.97–2.04 Å. In the seventh Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Cr–O bond distances ranging from 1.85–2.06 Å. In the eighth Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Cr–O bond distances ranging from 1.86–2.02 Å. In the ninth Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Cr–O bond distances ranging from 1.86–2.00 Å. In the tenth Cr+3.60+ site, Cr+3.60+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and three Cr+3.60+ atoms to form OLi2Cr3 square pyramids that share corners with three OLi3Cr3 octahedra, corners with six OLi3Cr2 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the second O2- site, O2- is bonded to two Li1+ and three Cr+3.60+ atoms to form OLi2Cr3 square pyramids that share corners with three OLi3Cr3 octahedra, corners with six OLi3Cr2 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the third O2- site, O2- is bonded to three Li1+ and three Cr+3.60+ atoms to form OLi3Cr3 octahedra that share corners with three OLi3Cr3 octahedra, corners with three OLi3Cr2 square pyramids, edges with seven OLi3Cr3 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to three Li1+ and two Cr+3.60+ atoms to form OLi3Cr2 square pyramids that share corners with three OLi4Cr2 octahedra, corners with six OLi2Cr3 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi3Cr2 square pyramids. The corner-sharing octahedra tilt angles range from 6–14°. In the fifth O2- site, O2- is bonded to three Li1+ and two Cr+3.60+ atoms to form OLi3Cr2 square pyramids that share corners with three OLi4Cr2 octahedra, corners with six OLi2Cr3 square pyramids, edges with six OLi4Cr2 octahedra, and edges with two OLi3Cr2 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the sixth O2- site, O2- is bonded to three Li1+ and three Cr+3.60+ atoms to form OLi3Cr3 octahedra that share corners with three OLi3Cr3 octahedra, corners with three OLi2Cr3 square pyramids, edges with seven OLi4Cr2 octahedra, and edges with five OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the seventh O2- site, O2- is bonded to two Li1+ and three Cr+3.60+ atoms to form OLi2Cr3 square pyramids that share corners with three OLi3Cr3 octahedra, corners with six OLi2Cr3 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the eighth O2- site, O2- is bonded to two Li1+ and three Cr+3.60+ atoms to form OLi2Cr3 square pyramids that share corners with three OLi3Cr3 octahedra, corners with six OLi2Cr3 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi2Cr3 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr+3.60+ atoms to form OLi4Cr2 octahedra that share corners with three OLi4Cr2 octahedra, corners with three OLi3Cr2 square pyramids, edges with seven OLi4Cr2 octahedra, and edges with five OLi3Cr2 square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr+3.60+ atoms to form OLi4Cr2 octahedra that share corners with three OLi4Cr2 octahedra, corners with three OLi3Cr2 square pyramids, edges with seven OLi3Cr3 octahedra, and edges with five OLi3Cr2 square pyramids. The corner-sharing octahedra tilt angles range from 5–11°. In the eleventh O2- site, O2- is bonded to three Li1+ and two Cr+3.60+ atoms to form OLi3Cr2 square pyramids that share corners with three OLi4Cr2 octahedra, corners with six OLi3Cr2 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi3Cr2 square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the twelfth O2- site, O2- is bonded to three Li1+ and two Cr+3.60+ atoms to form OLi3Cr2 square pyramids that share corners with three OLi4Cr2 octahedra, corners with six OLi3Cr2 square pyramids, edges with six OLi3Cr3 octahedra, and edges with two OLi3Cr2 square pyramids. The corner-sharing octahedra tilt angles range from 7–13°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Cr+3.60+ atoms to form OLi3Cr3 octahedra that share corners with three OLi4Cr2 octahedra, corners with three OLi3Cr2 square pyramids, edges with six OLi3Cr3 octahedra, and edges wi

36 MATERIALS SCIENCE↗

Materials Data on Bi19(S9Br)3 by Materials Project

Bi19S27Br3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.96 Å. There are one shorter (3.52 Å) and one longer (3.57 Å) Bi–Br bond lengths. In the second Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.51 Å) and one longer (3.53 Å) Bi–Br bond lengths. In the third Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.94 Å. Both Bi–Br bond lengths are 3.54 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.52 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the fifth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.93 Å. Both Bi–Br bond lengths are 3.54 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.96 Å. There are one shorter (3.52 Å) and one longer (3.57 Å) Bi–Br bond lengths. In the seventh Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.93 Å. Both Bi–Br bond lengths are 3.54 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.95 Å. There are one shorter (3.52 Å) and one longer (3.57 Å) Bi–Br bond lengths. In the ninth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.52 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the tenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.52 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the eleventh Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.92 Å. There are one shorter (3.54 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the twelfth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.51 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the thirteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.52 Å) and one longer (3.54 Å) Bi–Br bond lengths. In the fourteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.52 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the fifteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.93 Å. There are one shorter (3.54 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the sixteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.92 Å. There are one shorter (3.54 Å) and one longer (3.56 Å) Bi–Br bond lengths. In the seventeenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.63–2.95 Å. There are one shorter (3.51 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the eighteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to five S2- and two Br1- atoms. There are a spread of Bi–S bond distances ranging from 2.62–2.97 Å. There are one shorter (3.52 Å) and one longer (3.55 Å) Bi–Br bond lengths. In the nineteenth Bi3+ site, Bi3+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.88–2.92 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a distorted hexagonal planar geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.87–2.94 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.56 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.14 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the twenty-fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.14 Å. In the twenty-sixth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.56 Å. In the twenty-seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.14 Å. In the twenty-eighth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.65–3.55 Å. In the twenty-ninth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.48 Å. In the thirtieth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.70–3.48 Å. In the thirty-first Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.15 Å. In the thirty-second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.55 Å. In the thirty-third Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.55 Å. In the thirty-fourth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.49 Å. In the thirty-fifth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.16 Å. In the thirty-sixth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Bi–S bond distances ranging from 2.64–3.16 Å. In the thirty-seventh Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.66–3.55 Å. In the thirty-eighth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Bi–S bond distances ranging from 2.69–3.47 Å. There are fifty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the second S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the third S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the fifth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the sixth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the eighth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the ninth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the eleventh S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to five Bi3+ atoms. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the nineteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twentieth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-first S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with three SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the twenty-second S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the twenty-third S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-sixth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the twenty-seventh S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-eighth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the twenty-ninth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the thirtieth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-first S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with four SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the thirty-second S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-third S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the thirty-sixth S2- site, S2- is bonded to five Bi3+ atoms to form distorted SBi5 square pyramids that share corners with three SBi4 tetrahedra and an edgeedge with one SBi5 square pyramid. In the thirty-seventh S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with two SBi5 square pyramids, corners with four SBi4 tetrahedra, and edges with two SBi4 tetrahedra. In the thirty-eighth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-ninth S2- site, S2- is bonded to four Bi3+ atoms to form distorted SBi4 tetrahedra that share corners with two SBi5 square pyramids, corners with four SBi4 tetrahedra

36 MATERIALS SCIENCE↗

Materials Data on La14Zn45Si by Materials Project

La14Zn45Si crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are fourteen inequivalent La sites. In the first La site, La is bonded in a 10-coordinate geometry to seventeen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.14–3.49 Å. In the second La site, La is bonded in a 10-coordinate geometry to seventeen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.15–3.51 Å. In the third La site, La is bonded in a 10-coordinate geometry to seventeen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.16–3.53 Å. In the fourth La site, La is bonded in a 10-coordinate geometry to seventeen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.15–3.50 Å. In the fifth La site, La is bonded in a 5-coordinate geometry to fifteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.08–3.63 Å. In the sixth La site, La is bonded in a 5-coordinate geometry to fifteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.10–3.63 Å. In the seventh La site, La is bonded in a 5-coordinate geometry to thirteen Zn and two equivalent Si atoms. There are a spread of La–Zn bond distances ranging from 3.08–3.67 Å. Both La–Si bond lengths are 3.23 Å. In the eighth La site, La is bonded in a 5-coordinate geometry to fifteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.12–3.62 Å. In the ninth La site, La is bonded in a 4-coordinate geometry to twelve Zn and two equivalent Si atoms. There are a spread of La–Zn bond distances ranging from 3.08–3.59 Å. Both La–Si bond lengths are 3.27 Å. In the tenth La site, La is bonded in a 6-coordinate geometry to fourteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.11–3.56 Å. In the eleventh La site, La is bonded in a 10-coordinate geometry to twelve Zn and two equivalent Si atoms. There are a spread of La–Zn bond distances ranging from 3.19–3.40 Å. Both La–Si bond lengths are 3.25 Å. In the twelfth La site, La is bonded in a 12-coordinate geometry to fourteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.18–3.41 Å. In the thirteenth La site, La is bonded in a 12-coordinate geometry to fourteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.18–3.42 Å. In the fourteenth La site, La is bonded in a 11-coordinate geometry to fourteen Zn atoms. There are a spread of La–Zn bond distances ranging from 3.19–3.43 Å. There are forty-five inequivalent Zn sites. In the first Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.55–2.84 Å. In the second Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.55–2.84 Å. In the third Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.55–2.85 Å. In the fourth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.57–2.86 Å. In the fifth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.57–2.96 Å. In the sixth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.58–2.97 Å. In the seventh Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.57–2.96 Å. In the eighth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.57–2.97 Å. In the ninth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.60–2.87 Å. In the tenth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.60–2.87 Å. In the eleventh Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.60–2.85 Å. In the twelfth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.59–2.84 Å. In the thirteenth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.61–2.90 Å. In the fourteenth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.61–2.90 Å. In the fifteenth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.61–2.90 Å. In the sixteenth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.61–2.90 Å. In the seventeenth Zn site, Zn is bonded in a 1-coordinate geometry to five La, four Zn, and one Si atom. The Zn–Zn bond length is 2.64 Å. The Zn–Si bond length is 2.58 Å. In the eighteenth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are one shorter (2.60 Å) and one longer (2.63 Å) Zn–Zn bond lengths. In the nineteenth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are one shorter (2.61 Å) and one longer (2.63 Å) Zn–Zn bond lengths. In the twentieth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. There are one shorter (2.60 Å) and one longer (2.63 Å) Zn–Zn bond lengths. In the twenty-first Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. Both Zn–Zn bond lengths are 2.99 Å. In the twenty-second Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. Both Zn–Zn bond lengths are 3.00 Å. In the twenty-third Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. Both Zn–Zn bond lengths are 2.98 Å. In the twenty-fourth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. Both Zn–Zn bond lengths are 3.01 Å. In the twenty-fifth Zn site, Zn is bonded to five La and seven Zn atoms to form a mixture of distorted edge, face, and corner-sharing ZnLa5Zn7 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.65 Å) Zn–Zn bond lengths. In the twenty-sixth Zn site, Zn is bonded to five La and seven Zn atoms to form a mixture of distorted edge, face, and corner-sharing ZnLa5Zn7 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.65 Å) Zn–Zn bond lengths. In the twenty-seventh Zn site, Zn is bonded in a distorted single-bond geometry to five La, six Zn, and one Si atom. The Zn–Zn bond length is 2.65 Å. The Zn–Si bond length is 2.54 Å. In the twenty-eighth Zn site, Zn is bonded to five La and seven Zn atoms to form distorted ZnLa5Zn7 cuboctahedra that share corners with six ZnLa4Zn8 cuboctahedra, an edgeedge with one ZnLa4Zn8 cuboctahedra, and faces with two equivalent ZnLa5Zn7 cuboctahedra. There are one shorter (2.53 Å) and one longer (2.65 Å) Zn–Zn bond lengths. In the twenty-ninth Zn site, Zn is bonded to four La and eight Zn atoms to form distorted ZnLa4Zn8 cuboctahedra that share corners with five ZnLa5Zn7 cuboctahedra, an edgeedge with one ZnLa5Zn7 cuboctahedra, and faces with five ZnLa4Zn8 cuboctahedra. There are two shorter (2.89 Å) and two longer (2.91 Å) Zn–Zn bond lengths. In the thirtieth Zn site, Zn is bonded to four La and eight Zn atoms to form distorted ZnLa4Zn8 cuboctahedra that share corners with five ZnLa5Zn7 cuboctahedra, an edgeedge with one ZnLa5Zn7 cuboctahedra, and faces with five ZnLa4Zn8 cuboctahedra. There are two shorter (2.89 Å) and two longer (2.91 Å) Zn–Zn bond lengths. In the thirty-first Zn site, Zn is bonded to four La and eight Zn atoms to form distorted ZnLa4Zn8 cuboctahedra that share corners with four ZnLa5Zn7 cuboctahedra and faces with five ZnLa4Zn8 cuboctahedra. There are two shorter (2.89 Å) and two longer (2.90 Å) Zn–Zn bond lengths. In the thirty-second Zn site, Zn is bonded to four La and eight Zn atoms to form distorted ZnLa4Zn8 cuboctahedra that share corners with six ZnLa5Zn7 cuboctahedra, an edgeedge with one ZnLa5Zn7 cuboctahedra, and faces with five ZnLa4Zn8 cuboctahedra. There are two shorter (2.89 Å) and two longer (2.92 Å) Zn–Zn bond lengths. In the thirty-third Zn site, Zn is bonded in a 1-coordinate geometry to five La, four Zn, and one Si atom. The Zn–Si bond length is 2.56 Å. In the thirty-fourth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. The Zn–Zn bond length is 2.56 Å. In the thirty-fifth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. The Zn–Zn bond length is 2.57 Å. In the thirty-sixth Zn site, Zn is bonded in a 10-coordinate geometry to five La and five Zn atoms. The Zn–Zn bond length is 2.58 Å. In the thirty-seventh Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. The Zn–Zn bond length is 2.71 Å. In the thirty-eighth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. The Zn–Zn bond length is 2.71 Å. In the thirty-ninth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. The Zn–Zn bond length is 2.72 Å. In the fortieth Zn site, Zn is bonded in a 10-coordinate geometry to four La and six Zn atoms. The Zn–Zn bond length is 2.72 Å. In the forty-first Zn site, Zn is bonded to four La and eight Zn atoms to form ZnLa4Zn8 cuboctahedra that share corners with four ZnLa5Zn7 cuboctahedra and faces with six ZnLa4Zn8 cuboctahedra. In the forty-second Zn site, Zn is bonded to four La and eight Zn atoms to form ZnLa4Zn8 cuboctahedra that share corners with two equivalent ZnLa5Zn7 cuboctahedra and faces with six ZnLa4Zn8 cuboctahedra. In the forty-third Zn site, Zn is bonded in a 9-coordinate geometry to six La and three Zn atoms. In the forty-fourth Zn site, Zn is bonded in a 9-coordinate geometry to six La and three Zn atoms. In the forty-fifth Zn site, Zn is bonded in a 9-coordinate geometry to six La and three Zn atoms. Si is bonded in a 3-coordinate geometry to six La and three Zn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na8Ga42O67 by Materials Project

Na8Ga42O67 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na sites. In the first Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Na–O bond distances ranging from 2.12–2.24 Å. In the second Na site, Na is bonded in a 2-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.89 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 2.32–2.87 Å. In the fourth Na site, Na is bonded to four O atoms to form NaO4 tetrahedra that share corners with twelve GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Na–O bond distances ranging from 2.18–2.23 Å. In the fifth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.05–2.51 Å. In the sixth Na site, Na is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.23–2.89 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.97 Å. In the eighth Na site, Na is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Na–O bond distances ranging from 2.15–2.19 Å. There are forty-two inequivalent Ga sites. In the first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.86–2.34 Å. In the second Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one GaO4 tetrahedra, corners with two equivalent NaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.12 Å. In the third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.21 Å. In the fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.21 Å. In the fifth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–66°. There are a spread of Ga–O bond distances ranging from 1.87–1.98 Å. In the sixth Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.84 Å. In the seventh Ga site, Ga is bonded in a trigonal planar geometry to three O atoms. There are a spread of Ga–O bond distances ranging from 1.79–1.85 Å. In the eighth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.95–2.05 Å. In the ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the tenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.14 Å. In the eleventh Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.94–2.12 Å. In the twelfth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.91 Å) and one longer (1.93 Å) Ga–O bond length. In the thirteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.12 Å. In the fourteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.88–2.22 Å. In the fifteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with two equivalent GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.13 Å. In the sixteenth Ga site, Ga is bonded to four O atoms to form distorted GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Ga–O bond distances ranging from 1.82–1.90 Å. In the seventeenth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.82–1.88 Å. In the eighteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.14 Å. In the nineteenth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the twentieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.23 Å. In the twenty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with six GaO4 tetrahedra and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.11 Å. In the twenty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ga–O bond distances ranging from 1.89–1.92 Å. In the twenty-third Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Ga–O bond distances ranging from 1.81–1.95 Å. In the twenty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.17 Å. In the twenty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.13 Å. In the twenty-sixth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the twenty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Ga–O bond distances ranging from 1.83–1.94 Å. In the twenty-eighth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Ga–O bond distances ranging from 1.81–1.91 Å. In the twenty-ninth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.42 Å. In the thirtieth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.26 Å. In the thirty-first Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.93–2.31 Å. In the thirty-second Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Ga–O bond distances ranging from 1.89–2.01 Å. In the thirty-third Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.92–2.23 Å. In the thirty-fourth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with five GaO4 tetrahedra and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.90–2.21 Å. In the thirty-fifth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.24 Å. In the thirty-sixth Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Ga–O bond distances ranging from 1.81–1.90 Å. In the thirty-seventh Ga site, Ga is bonded to four O atoms to form GaO4 tetrahedra that share corners with six GaO6 octahedra and a cornercorner with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Ga–O bond distances ranging from 1.78–1.96 Å. In the thirty-eighth Ga site, Ga is bonded to four O atoms to form corner-sharing GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–62°. There is two shorter (1.90 Å) and two longer (1.91 Å) Ga–O bond length. In the thirty-ninth Ga site, Ga is bonded to six O atoms to form GaO6 octahedra that share corners with two equivalent NaO4 tetrahedra, corners with four GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.91–2.11 Å. In the fortieth Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.89–2.33 Å. In the forty-first Ga site, Ga is bonded to six O atoms to form distorted GaO6 octahedra that share a cornercorner with one NaO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with five GaO6 octahedra. There are a spread of Ga–O bond distances ranging from

36 MATERIALS SCIENCE↗

Materials Data on Sm10Pd21 by Materials Project

Sm10Pd21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sm sites. In the first Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.80–3.11 Å. In the second Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.19 Å. In the third Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.80–3.10 Å. In the fourth Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.21 Å. In the fifth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.15 Å. In the sixth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.89–3.16 Å. In the seventh Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.16 Å. In the eighth Sm site, Sm is bonded in a 9-coordinate geometry to nine Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.83–3.04 Å. In the ninth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.91–3.07 Å. In the tenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.50 Å. In the eleventh Sm site, Sm is bonded in a distorted q6 geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.03 Å. In the twelfth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.07 Å. In the thirteenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.86–3.53 Å. In the fourteenth Sm site, Sm is bonded in a 10-coordinate geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.20 Å. In the fifteenth Sm site, Sm is bonded in a 9-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.86–3.52 Å. In the sixteenth Sm site, Sm is bonded in a distorted q6 geometry to ten Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.92–3.03 Å. In the seventeenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.87–3.49 Å. In the eighteenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.89–3.18 Å. In the nineteenth Sm site, Sm is bonded in a 11-coordinate geometry to eleven Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.88–3.19 Å. In the twentieth Sm site, Sm is bonded in a 9-coordinate geometry to nine Pd atoms. There are a spread of Sm–Pd bond distances ranging from 2.83–3.05 Å. There are forty-two inequivalent Pd sites. In the first Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.74–3.11 Å. In the second Pd site, Pd is bonded to five Sm and two Pd atoms to form distorted PdSm5Pd2 trigonal bipyramids that share a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd2 trigonal bipyramids, and a faceface with one PdSm5Pd6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are one shorter (3.00 Å) and one longer (3.01 Å) Pd–Pd bond lengths. In the third Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the fourth Pd site, Pd is bonded to six Sm and two Pd atoms to form distorted PdSm6Pd2 octahedra that share corners with two equivalent PdSm6Pd2 octahedra, corners with four PdSm5Pd2 trigonal bipyramids, edges with two PdSm5Pd7 cuboctahedra, and faces with two PdSm5Pd7 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. There are one shorter (3.04 Å) and one longer (3.06 Å) Pd–Pd bond lengths. In the fifth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms. In the sixth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and two Pd atoms. Both Pd–Pd bond lengths are 2.85 Å. In the seventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the eighth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.95–3.19 Å. In the ninth Pd site, Pd is bonded in a 6-coordinate geometry to six Sm and two Pd atoms. There are one shorter (3.02 Å) and one longer (3.03 Å) Pd–Pd bond lengths. In the tenth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–2.98 Å. In the eleventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.97–3.18 Å. In the twelfth Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.90–3.09 Å. In the thirteenth Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with four PdSm5Pd2 trigonal bipyramids. The corner-sharing octahedral tilt angles are 31°. There are a spread of Pd–Pd bond distances ranging from 2.93–3.17 Å. In the fourteenth Pd site, Pd is bonded to five Sm and two Pd atoms to form distorted PdSm5Pd2 trigonal bipyramids that share a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd2 trigonal bipyramids, and a faceface with one PdSm5Pd6 trigonal bipyramid. The corner-sharing octahedral tilt angles are 25°. Both Pd–Pd bond lengths are 2.99 Å. In the fifteenth Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with five PdSm5Pd6 trigonal bipyramids. There are a spread of Pd–Pd bond distances ranging from 2.95–3.11 Å. In the sixteenth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, an edgeedge with one PdSm6Pd2 octahedra, faces with three PdSm5Pd7 cuboctahedra, and a faceface with one PdSm6Pd2 octahedra. There are a spread of Pd–Pd bond distances ranging from 2.86–2.99 Å. In the seventeenth Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are one shorter (3.05 Å) and one longer (3.10 Å) Pd–Pd bond lengths. In the eighteenth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.87–2.98 Å. In the nineteenth Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and two Pd atoms. There are one shorter (2.84 Å) and one longer (2.86 Å) Pd–Pd bond lengths. In the twentieth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, an edgeedge with one PdSm6Pd2 octahedra, faces with three PdSm5Pd7 cuboctahedra, and a faceface with one PdSm6Pd2 octahedra. There are one shorter (2.92 Å) and one longer (3.00 Å) Pd–Pd bond lengths. In the twenty-first Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.86–3.00 Å. In the twenty-second Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and two Pd atoms. The Pd–Pd bond length is 2.91 Å. In the twenty-third Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with four PdSm5Pd6 trigonal bipyramids. There are a spread of Pd–Pd bond distances ranging from 2.93–3.16 Å. In the twenty-fourth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. In the twenty-fifth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, and faces with three PdSm5Pd7 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.88–2.97 Å. In the twenty-sixth Pd site, Pd is bonded in a distorted square co-planar geometry to four Sm atoms. In the twenty-seventh Pd site, Pd is bonded in a 5-coordinate geometry to five Sm atoms. In the twenty-eighth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.85–2.93 Å. In the twenty-ninth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. The Pd–Pd bond length is 2.94 Å. In the thirtieth Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. There are a spread of Pd–Pd bond distances ranging from 2.74–3.11 Å. In the thirty-first Pd site, Pd is bonded to five Sm and six Pd atoms to form distorted PdSm5Pd6 trigonal bipyramids that share corners with two PdSm5Pd7 cuboctahedra, a cornercorner with one PdSm6Pd2 octahedra, corners with two equivalent PdSm5Pd6 trigonal bipyramids, and faces with five PdSm5Pd6 trigonal bipyramids. The corner-sharing octahedral tilt angles are 32°. The Pd–Pd bond length is 2.98 Å. In the thirty-second Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and six Pd atoms. The Pd–Pd bond length is 2.94 Å. In the thirty-third Pd site, Pd is bonded in a 5-coordinate geometry to five Sm and four Pd atoms. The Pd–Pd bond length is 2.85 Å. In the thirty-fourth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. The Pd–Pd bond length is 2.91 Å. In the thirty-fifth Pd site, Pd is bonded in a distorted rectangular see-saw-like geometry to four Sm and two Pd atoms. In the thirty-sixth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms. In the thirty-seventh Pd site, Pd is bonded in a 12-coordinate geometry to six Sm and six Pd atoms. In the thirty-eighth Pd site, Pd is bonded to five Sm and seven Pd atoms to form distorted PdSm5Pd7 cuboctahedra that share corners with two equivalent PdSm5Pd7 cuboctahedra, corners with two PdSm5Pd6 trigonal bipyramids, edges with two equivalent PdSm5Pd7 cuboctahedra, and faces with three PdSm5Pd7 cuboctahedra. In the thirty-ninth Pd site, Pd is bonded in a distorted square co-planar geometry to four Sm atoms. In the fortieth Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. There are one shorter (2.87 Å) and one longer (2.98 Å) Pd–Pd bond lengths. In the forty-first Pd site, Pd is bonded in a 12-coordinate geometry to five Sm and seven Pd atoms. In the forty-second Pd site, Pd is bonded in a 12-coordinate geometry to five Sm atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO by Materials Project

TiO crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Ti2+ sites. In the first Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two equivalent TiO5 square pyramids, an edgeedge with one TiO6 octahedra, and edges with nine TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Ti–O bond distances ranging from 2.06–2.17 Å. In the second Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent TiO5 square pyramids, edges with ten TiO6 octahedra, and edges with two equivalent TiO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.11 Å) and four longer (2.14 Å) Ti–O bond lengths. In the third Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent TiO5 square pyramids, edges with ten TiO6 octahedra, and edges with two equivalent TiO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.14 Å) Ti–O bond lengths. In the fourth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with five TiO5 square pyramids, edges with seven TiO6 octahedra, and an edgeedge with one TiO5 square pyramid. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Ti–O bond distances ranging from 2.10–2.17 Å. In the fifth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with five TiO5 square pyramids, edges with seven TiO6 octahedra, and an edgeedge with one TiO5 square pyramid. The corner-sharing octahedra tilt angles range from 16–19°. There are a spread of Ti–O bond distances ranging from 2.09–2.18 Å. In the sixth Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with seven TiO6 octahedra, and edges with four TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Ti–O bond distances ranging from 2.08–2.23 Å. In the seventh Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with eight TiO6 octahedra, and edges with four TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 2.10–2.18 Å. In the eighth Ti2+ site, Ti2+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.02 Å) and two longer (2.10 Å) Ti–O bond lengths. In the ninth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with five TiO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with five TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.06–2.15 Å. In the tenth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with five TiO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with five TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.13–2.18 Å. In the eleventh Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with five TiO5 square pyramids, and edges with five TiO5 square pyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ti–O bond distances ranging from 2.05–2.16 Å. In the twelfth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with five TiO5 square pyramids, an edgeedge with one TiO6 octahedra, and edges with five TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.01–2.14 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with six OTi6 octahedra, edges with seven OTi6 octahedra, and edges with four OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 0–17°. In the second O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with four equivalent OTi6 octahedra, edges with eight OTi6 octahedra, and edges with four OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with four OTi6 octahedra, corners with two equivalent OTi5 square pyramids, an edgeedge with one OTi6 octahedra, and edges with nine OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 9–17°. In the fourth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with two equivalent OTi6 octahedra, corners with five OTi5 square pyramids, edges with seven OTi6 octahedra, and an edgeedge with one OTi5 square pyramid. The corner-sharing octahedral tilt angles are 16°. In the fifth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with two equivalent OTi6 octahedra, corners with five OTi5 square pyramids, edges with seven OTi6 octahedra, and an edgeedge with one OTi5 square pyramid. The corner-sharing octahedra tilt angles range from 15–16°. In the sixth O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with two equivalent OTi6 octahedra, corners with four equivalent OTi5 square pyramids, edges with ten OTi6 octahedra, and edges with two equivalent OTi5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with two equivalent OTi6 octahedra, corners with four equivalent OTi5 square pyramids, edges with ten OTi6 octahedra, and edges with two equivalent OTi5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with two equivalent OTi6 octahedra, corners with five OTi5 square pyramids, and edges with five OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 9–13°. In the ninth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with five OTi5 square pyramids, an edgeedge with one OTi6 octahedra, and edges with five OTi5 square pyramids. In the tenth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with five OTi5 square pyramids, edges with two equivalent OTi6 octahedra, and edges with five OTi5 square pyramids. In the eleventh O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with five OTi5 square pyramids, edges with two equivalent OTi6 octahedra, and edges with five OTi5 square pyramids. In the twelfth O2- site, O2- is bonded in a square co-planar geometry to four Ti2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn10O20 by Materials Project

Li9Mn10O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–19°. There are a spread of Li–O bond distances ranging from 2.01–2.48 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Li–O bond distances ranging from 2.01–2.64 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with five LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Li–O bond distances ranging from 2.04–2.30 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.07–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of Li–O bond distances ranging from 2.03–2.37 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Li–O bond distances ranging from 2.07–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.08–2.33 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with five LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 0–21°. There are a spread of Li–O bond distances ranging from 2.03–2.35 Å. There are ten inequivalent Mn+3.10+ sites. In the first Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Mn–O bond distances ranging from 1.96–2.27 Å. In the second Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mn–O bond distances ranging from 1.93–2.19 Å. In the third Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five LiO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mn–O bond distances ranging from 1.90–2.55 Å. In the fourth Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four LiO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mn–O bond distances ranging from 1.93–2.50 Å. In the fifth Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Mn–O bond distances ranging from 1.91–2.39 Å. In the sixth Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–19°. There are a spread of Mn–O bond distances ranging from 1.93–2.33 Å. In the seventh Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Mn–O bond distances ranging from 1.90–2.35 Å. In the eighth Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of Mn–O bond distances ranging from 1.89–2.03 Å. In the ninth Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four LiO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Mn–O bond distances ranging from 1.85–2.52 Å. In the tenth Mn+3.10+ site, Mn+3.10+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four LiO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Mn–O bond distances ranging from 1.90–2.59 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Mn+3.10+ atoms to form distorted OLiMn4 square pyramids that share corners with five OLi2Mn4 octahedra, corners with four OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with three OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to two Li1+ and four Mn+3.10+ atoms to form distorted OLi2Mn4 octahedra that share corners with three OLi3Mn3 octahedra, corners with two OLi3Mn2 square pyramids, edges with ten OLi3Mn3 octahedra, and edges with two OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 3–18°. In the third O2- site, O2- is bonded to three Li1+ and two Mn+3.10+ atoms to form OLi3Mn2 square pyramids that share corners with four OLi2Mn4 octahedra, corners with five OLiMn4 square pyramids, edges with seven OLi4Mn2 octahedra, and an edgeedge with one OLi2Mn3 square pyramid. The corner-sharing octahedra tilt angles range from 4–20°. In the fourth O2- site, O2- is bonded to one Li1+ and four Mn+3.10+ atoms to form distorted OLiMn4 square pyramids that share corners with four OLi4Mn2 octahedra, corners with five OLiMn4 square pyramids, edges with seven OLi2Mn4 octahedra, and an edgeedge with one OLi2Mn3 square pyramid. The corner-sharing octahedra tilt angles range from 7–18°. In the fifth O2- site, O2- is bonded to four Li1+ and two Mn+3.10+ atoms to form OLi4Mn2 octahedra that share corners with four OLi4Mn2 octahedra, corners with two OLiMn4 square pyramids, edges with ten OLi3Mn3 octahedra, and an edgeedge with one OLi3Mn2 square pyramid. The corner-sharing octahedra tilt angles range from 3–9°. In the sixth O2- site, O2- is bonded to two Li1+ and four Mn+3.10+ atoms to form OLi2Mn4 octahedra that share corners with five OLi4Mn2 octahedra, a cornercorner with one OLiMn4 square pyramid, edges with seven OLi3Mn3 octahedra, and edges with three OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the seventh O2- site, O2- is bonded to three Li1+ and three Mn+3.10+ atoms to form distorted OLi3Mn3 octahedra that share corners with four OLi3Mn3 octahedra, corners with two OLi3Mn2 square pyramids, edges with six OLi4Mn2 octahedra, and edges with five OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 4–20°. In the eighth O2- site, O2- is bonded to three Li1+ and two Mn+3.10+ atoms to form OLi3Mn2 square pyramids that share corners with three OLi3Mn3 octahedra, corners with five OLiMn4 square pyramids, edges with seven OLi3Mn3 octahedra, and an edgeedge with one OLiMn4 square pyramid. The corner-sharing octahedra tilt angles range from 2–19°. In the ninth O2- site, O2- is bonded to three Li1+ and three Mn+3.10+ atoms to form distorted OLi3Mn3 octahedra that share corners with three OLi3Mn3 octahedra, corners with two OLiMn4 square pyramids, edges with ten OLi2Mn4 octahedra, and an edgeedge with one OLi3Mn2 square pyramid. The corner-sharing octahedra tilt angles range from 5–16°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mn+3.10+ atoms to form OLi4Mn2 octahedra that share corners with four OLi2Mn4 octahedra, a cornercorner with one OLi2Mn3 square pyramid, edges with nine OLi3Mn3 octahedra, and edges with three OLi3Mn2 square pyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Mn+3.10+ atoms to form distorted OLi4Mn2 octahedra that share corners with four OLi4Mn2 octahedra, corners with two OLiMn4 square pyramids, edges with seven OLi4Mn2 octahedra, and edges with five OLi3Mn2 square pyramids. The corner-sharing octahedra tilt angles range from 3–17°. In the twelfth O2- site, O2- is bonded to two Li1+ and three Mn+3.10+ atoms to form OLi2Mn3 square pyramids that share corners with five OLi4Mn2 octahedra, corners with four OLiMn4 square pyramids, edges with five OLi4Mn2 octahedra, and edges with three OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 3–10°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.10+ atoms to form OLi4Mn2 octahedra that share corners with four OLi2Mn4 octahedra, corners with two OLiMn4 square pyramids, edges with nine OLi3Mn3 octahedra, and an edgeedge with one OLiMn4 square pyramid. The corner-sharing octahedra tilt angles range from 8–14°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn+3.10+ atoms to form OLi3Mn3 octahedra that share corners with four OLi4Mn2 octahedra, corners with two OLiMn4 square pyramids, edges with nine OLi4Mn2 octahedra, and edges with two OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 4–18°. In the fifteenth O2- site, O2- is bonded to one Li1+ and four Mn+

36 MATERIALS SCIENCE↗

Materials Data on K11B62 by Materials Project

K11B62 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eleven inequivalent K sites. In the first K site, K is bonded in a 8-coordinate geometry to twenty B atoms. There are a spread of K–B bond distances ranging from 3.02–3.23 Å. In the second K site, K is bonded in a 6-coordinate geometry to twenty B atoms. There are a spread of K–B bond distances ranging from 3.08–3.19 Å. In the third K site, K is bonded in a 10-coordinate geometry to twenty-two B atoms. There are a spread of K–B bond distances ranging from 3.00–3.25 Å. In the fourth K site, K is bonded in a 8-coordinate geometry to twenty-four B atoms. There are a spread of K–B bond distances ranging from 3.09–3.16 Å. In the fifth K site, K is bonded in a 12-coordinate geometry to twenty-four B atoms. There are sixteen shorter (3.11 Å) and eight longer (3.13 Å) K–B bond lengths. In the sixth K site, K is bonded in a 8-coordinate geometry to twenty-four B atoms. There are a spread of K–B bond distances ranging from 3.11–3.13 Å. In the seventh K site, K is bonded in a 12-coordinate geometry to twenty-four B atoms. There are a spread of K–B bond distances ranging from 3.11–3.14 Å. In the eighth K site, K is bonded in a 12-coordinate geometry to twenty-four B atoms. There are sixteen shorter (3.11 Å) and eight longer (3.13 Å) K–B bond lengths. In the ninth K site, K is bonded in a 12-coordinate geometry to twenty-four B atoms. There are a spread of K–B bond distances ranging from 3.08–3.15 Å. In the tenth K site, K is bonded in a 10-coordinate geometry to twenty-two B atoms. There are a spread of K–B bond distances ranging from 3.00–3.24 Å. In the eleventh K site, K is bonded in a 8-coordinate geometry to twenty B atoms. There are a spread of K–B bond distances ranging from 3.08–3.17 Å. There are forty-seven inequivalent B sites. In the first B site, B is bonded in a 2-coordinate geometry to four equivalent K and four B atoms. There are a spread of B–B bond distances ranging from 1.58–1.91 Å. In the second B site, B is bonded in a 2-coordinate geometry to four equivalent K and four B atoms. There are a spread of B–B bond distances ranging from 1.61–1.87 Å. In the third B site, B is bonded in a 1-coordinate geometry to four K and four B atoms. There are a spread of B–B bond distances ranging from 1.65–1.81 Å. In the fourth B site, B is bonded in a 4-coordinate geometry to four equivalent K and four B atoms. All B–B bond lengths are 1.67 Å. In the fifth B site, B is bonded in a 8-coordinate geometry to four K and four B atoms. There is one shorter (1.74 Å) and two longer (1.83 Å) B–B bond length. In the sixth B site, B is bonded in a 5-coordinate geometry to four equivalent K and five B atoms. There is one shorter (1.75 Å) and four longer (1.76 Å) B–B bond length. In the seventh B site, B is bonded in a 9-coordinate geometry to four K and five B atoms. There is one shorter (1.66 Å) and two longer (1.84 Å) B–B bond length. In the eighth B site, B is bonded in a 9-coordinate geometry to four equivalent K and five B atoms. All B–B bond lengths are 1.80 Å. In the ninth B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. There are a spread of B–B bond distances ranging from 1.68–1.81 Å. In the tenth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. There is one shorter (1.69 Å) and two longer (1.82 Å) B–B bond length. In the eleventh B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. All B–B bond lengths are 1.80 Å. In the twelfth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. Both B–B bond lengths are 1.82 Å. In the thirteenth B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. There is one shorter (1.68 Å) and four longer (1.80 Å) B–B bond length. In the fourteenth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. There is one shorter (1.70 Å) and two longer (1.81 Å) B–B bond length. In the fifteenth B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. All B–B bond lengths are 1.80 Å. In the sixteenth B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. There is one shorter (1.69 Å) and four longer (1.80 Å) B–B bond length. In the seventeenth B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. There is one shorter (1.79 Å) and three longer (1.80 Å) B–B bond length. In the eighteenth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. There are a spread of B–B bond distances ranging from 1.70–1.81 Å. In the nineteenth B site, B is bonded in a 1-coordinate geometry to four equivalent K and five B atoms. There is one shorter (1.71 Å) and four longer (1.79 Å) B–B bond length. In the twentieth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. There is one shorter (1.71 Å) and two longer (1.81 Å) B–B bond length. In the twenty-first B site, B is bonded in a 5-coordinate geometry to four equivalent K and five B atoms. All B–B bond lengths are 1.76 Å. In the twenty-second B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. Both B–B bond lengths are 1.81 Å. In the twenty-third B site, B is bonded in a 4-coordinate geometry to four K and four B atoms. There is one shorter (1.70 Å) and two longer (1.82 Å) B–B bond length. In the twenty-fourth B site, B is bonded in a 8-coordinate geometry to four equivalent K and four B atoms. There is two shorter (1.68 Å) and two longer (1.69 Å) B–B bond length. In the twenty-fifth B site, B is bonded in a 4-coordinate geometry to four K and four B atoms. Both B–B bond lengths are 1.82 Å. In the twenty-sixth B site, B is bonded in a 5-coordinate geometry to four equivalent K and five B atoms. There are a spread of B–B bond distances ranging from 1.68–1.76 Å. In the twenty-seventh B site, B is bonded in a 9-coordinate geometry to four K and five B atoms. There is one shorter (1.68 Å) and two longer (1.83 Å) B–B bond length. In the twenty-eighth B site, B is bonded in a 2-coordinate geometry to four equivalent K and four B atoms. There is one shorter (1.61 Å) and two longer (1.88 Å) B–B bond length. In the twenty-ninth B site, B is bonded in a 9-coordinate geometry to four K and five B atoms. Both B–B bond lengths are 1.83 Å. In the thirtieth B site, B is bonded in a 2-coordinate geometry to four K and four B atoms. There is one shorter (1.57 Å) and one longer (1.58 Å) B–B bond length. In the thirty-first B site, B is bonded in a 2-coordinate geometry to four K and four B atoms. There are a spread of B–B bond distances ranging from 1.57–1.92 Å. In the thirty-second B site, B is bonded in a 4-coordinate geometry to four K and four B atoms. There is one shorter (1.73 Å) and one longer (1.75 Å) B–B bond length. In the thirty-third B site, B is bonded in a 9-coordinate geometry to four K and five B atoms. There is one shorter (1.66 Å) and one longer (1.84 Å) B–B bond length. In the thirty-fourth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. The B–B bond length is 1.69 Å. In the thirty-fifth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. The B–B bond length is 1.70 Å. In the thirty-sixth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. There is one shorter (1.71 Å) and two longer (1.81 Å) B–B bond length. In the thirty-seventh B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. There are a spread of B–B bond distances ranging from 1.71–1.81 Å. In the thirty-eighth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. The B–B bond length is 1.71 Å. In the thirty-ninth B site, B is bonded in a 1-coordinate geometry to four K and four B atoms. The B–B bond length is 1.67 Å. In the fortieth B site, B is bonded in a 9-coordinate geometry to four K and five B atoms. The B–B bond length is 1.68 Å. In the forty-first B site, B is bonded in a 5-coordinate geometry to four equivalent K and five B atoms. In the forty-second B site, B is bonded in a 4-coordinate geometry to four K and four B atoms. In the forty-third B site, B is bonded in a 4-coordinate geometry to four K and four B atoms. The B–B bond length is 1.59 Å. In the forty-fourth B site, B is bonded in a 2-coordinate geometry to four equivalent K and four B atoms. In the forty-fifth B site, B is bonded in a 9-coordinate geometry to four K and five B atoms. In the forty-sixth B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. The B–B bond length is 1.71 Å. In the forty-seventh B site, B is bonded in a 1-coordinate geometry to four K and five B atoms. The B–B bond length is 1.80 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ag2Hg3 by Materials Project

Ag2Hg3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Ag sites. In the first Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and nine Hg atoms. There are a spread of Ag–Ag bond distances ranging from 3.07–3.12 Å. There are a spread of Ag–Hg bond distances ranging from 2.98–3.43 Å. In the second Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. There are a spread of Ag–Ag bond distances ranging from 2.98–3.24 Å. There are a spread of Ag–Hg bond distances ranging from 2.97–3.27 Å. In the third Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and nine Hg atoms. There are one shorter (2.94 Å) and one longer (3.09 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 2.94–3.47 Å. In the fourth Ag site, Ag is bonded in a 10-coordinate geometry to three Ag and seven Hg atoms. There are one shorter (3.07 Å) and one longer (3.20 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 2.90–3.25 Å. In the fifth Ag site, Ag is bonded in a 10-coordinate geometry to three Ag and seven Hg atoms. There are one shorter (3.07 Å) and one longer (3.13 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 2.91–3.15 Å. In the sixth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. The Ag–Ag bond length is 3.09 Å. There are a spread of Ag–Hg bond distances ranging from 2.90–3.20 Å. In the seventh Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. The Ag–Ag bond length is 3.15 Å. There are a spread of Ag–Hg bond distances ranging from 2.93–3.22 Å. In the eighth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. There are one shorter (3.12 Å) and one longer (3.15 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 2.92–3.14 Å. In the ninth Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and nine Hg atoms. There are one shorter (3.05 Å) and one longer (3.16 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 3.00–3.28 Å. In the tenth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. There are one shorter (2.96 Å) and one longer (3.09 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 2.93–3.29 Å. In the eleventh Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. The Ag–Ag bond length is 3.14 Å. There are a spread of Ag–Hg bond distances ranging from 2.95–3.29 Å. In the twelfth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. The Ag–Ag bond length is 3.00 Å. There are a spread of Ag–Hg bond distances ranging from 2.93–3.21 Å. In the thirteenth Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and eight Hg atoms. The Ag–Ag bond length is 3.09 Å. There are a spread of Ag–Hg bond distances ranging from 2.93–3.44 Å. In the fourteenth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. There are one shorter (2.98 Å) and one longer (3.27 Å) Ag–Ag bond lengths. There are a spread of Ag–Hg bond distances ranging from 2.93–3.32 Å. In the fifteenth Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and nine Hg atoms. The Ag–Ag bond length is 3.11 Å. There are a spread of Ag–Hg bond distances ranging from 2.91–3.51 Å. In the sixteenth Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and nine Hg atoms. The Ag–Ag bond length is 3.17 Å. There are a spread of Ag–Hg bond distances ranging from 2.98–3.40 Å. In the seventeenth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. The Ag–Ag bond length is 3.12 Å. There are a spread of Ag–Hg bond distances ranging from 2.92–3.25 Å. In the eighteenth Ag site, Ag is bonded in a 12-coordinate geometry to three Ag and nine Hg atoms. The Ag–Ag bond length is 3.09 Å. There are a spread of Ag–Hg bond distances ranging from 2.98–3.26 Å. In the nineteenth Ag site, Ag is bonded in a 10-coordinate geometry to three Ag and seven Hg atoms. The Ag–Ag bond length is 2.97 Å. There are a spread of Ag–Hg bond distances ranging from 2.89–3.19 Å. In the twentieth Ag site, Ag is bonded in a 11-coordinate geometry to three Ag and eight Hg atoms. There are a spread of Ag–Hg bond distances ranging from 2.94–3.32 Å. There are thirty inequivalent Hg sites. In the first Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.07–3.19 Å. In the second Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 2.96–3.17 Å. In the third Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. There are one shorter (3.08 Å) and one longer (3.13 Å) Hg–Hg bond lengths. In the fourth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.08–3.24 Å. In the fifth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.01–3.12 Å. In the sixth Hg site, Hg is bonded in a 8-coordinate geometry to five Ag and three Hg atoms. There are one shorter (3.03 Å) and one longer (3.06 Å) Hg–Hg bond lengths. In the seventh Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.01–3.26 Å. In the eighth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.01–3.27 Å. In the ninth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are one shorter (3.00 Å) and one longer (3.16 Å) Hg–Hg bond lengths. In the tenth Hg site, Hg is bonded in a 9-coordinate geometry to five Ag and four Hg atoms. The Hg–Hg bond length is 3.02 Å. In the eleventh Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. The Hg–Hg bond length is 3.15 Å. In the twelfth Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. The Hg–Hg bond length is 3.08 Å. In the thirteenth Hg site, Hg is bonded in a 8-coordinate geometry to six Ag and two Hg atoms. The Hg–Hg bond length is 3.07 Å. In the fourteenth Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. The Hg–Hg bond length is 3.14 Å. In the fifteenth Hg site, Hg is bonded in a 11-coordinate geometry to five Ag and six Hg atoms. The Hg–Hg bond length is 3.31 Å. In the sixteenth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.09–3.15 Å. In the seventeenth Hg site, Hg is bonded in a 12-coordinate geometry to five Ag and six Hg atoms. The Hg–Hg bond length is 3.04 Å. In the eighteenth Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.01–3.14 Å. In the nineteenth Hg site, Hg is bonded in a 8-coordinate geometry to six Ag and two Hg atoms. The Hg–Hg bond length is 3.04 Å. In the twentieth Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. There are one shorter (3.05 Å) and one longer (3.09 Å) Hg–Hg bond lengths. In the twenty-first Hg site, Hg is bonded in a 12-coordinate geometry to six Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 3.05–3.24 Å. In the twenty-second Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are a spread of Hg–Hg bond distances ranging from 2.96–3.11 Å. In the twenty-third Hg site, Hg is bonded in a 9-coordinate geometry to five Ag and four Hg atoms. There are one shorter (3.06 Å) and one longer (3.13 Å) Hg–Hg bond lengths. In the twenty-fourth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. There are one shorter (3.07 Å) and one longer (3.09 Å) Hg–Hg bond lengths. In the twenty-fifth Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. In the twenty-sixth Hg site, Hg is bonded in a 10-coordinate geometry to six Ag and four Hg atoms. In the twenty-seventh Hg site, Hg is bonded in a 10-coordinate geometry to five Ag and five Hg atoms. The Hg–Hg bond length is 3.06 Å. In the twenty-eighth Hg site, Hg is bonded in a 9-coordinate geometry to six Ag and three Hg atoms. The Hg–Hg bond length is 3.07 Å. In the twenty-ninth Hg site, Hg is bonded in a 10-coordinate geometry to six Ag and four Hg atoms. In the thirtieth Hg site, Hg is bonded in a 10-coordinate geometry to six Ag and five Hg atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8Te2O9 by Materials Project

Li8Te2O9 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two LiO6 octahedra, corners with two equivalent TeO6 octahedra, corners with five LiO5 square pyramids, edges with two LiO6 octahedra, edges with two TeO6 octahedra, and edges with four LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Li–O bond distances ranging from 1.99–2.40 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with four LiO5 square pyramids, edges with two TeO6 octahedra, edges with four LiO6 octahedra, and edges with six LiO5 square pyramids. The corner-sharing octahedral tilt angles are 5°. There are a spread of Li–O bond distances ranging from 2.09–2.39 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with two LiO6 octahedra, corners with seven LiO5 square pyramids, edges with two LiO6 octahedra, edges with three TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 12–13°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO5 square pyramids, edges with three TeO6 octahedra, edges with four LiO6 octahedra, and edges with five LiO5 square pyramids. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with three TeO6 octahedra, corners with four LiO5 square pyramids, edges with two equivalent TeO6 octahedra, edges with three LiO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share a cornercorner with one TeO6 octahedra, corners with eight LiO5 square pyramids, edges with two LiO6 octahedra, edges with three TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with seven LiO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with four TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 10–14°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with seven LiO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with four TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with seven LiO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with four TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 11–14°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with two equivalent LiO6 octahedra, corners with seven LiO5 square pyramids, an edgeedge with one LiO6 octahedra, edges with four TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedral tilt angles are 12°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with three TeO6 octahedra, corners with six LiO5 square pyramids, edges with two LiO6 octahedra, edges with two equivalent TeO6 octahedra, and edges with four LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 1.91–2.39 Å. In the twelfth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one TeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with six LiO5 square pyramids, edges with three LiO6 octahedra, edges with three TeO6 octahedra, and edges with two LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.01–2.36 Å. In the thirteenth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 square pyramids that share corners with two LiO6 octahedra, corners with seven LiO5 square pyramids, edges with two LiO6 octahedra, edges with three TeO6 octahedra, and edges with three LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO5 square pyramids, edges with three TeO6 octahedra, edges with four LiO6 octahedra, and edges with five LiO5 square pyramids. There are a spread of Li–O bond distances ranging from 2.11–2.29 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with four LiO5 square pyramids, edges with two TeO6 octahedra, edges with four LiO6 octahedra, and edges with six LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Li–O bond distances ranging from 2.11–2.31 Å. In the sixteenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two LiO6 octahedra, corners with two equivalent TeO6 octahedra, corners with five LiO5 square pyramids, edges with two LiO6 octahedra, edges with two TeO6 octahedra, and edges with four LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 1.96–2.37 Å. There are four inequivalent Te5+ sites. In the first Te5+ site, Te5+ is bonded to six O2- atoms to form TeO6 octahedra that share a cornercorner with one TeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three LiO5 square pyramids, an edgeedge with one TeO6 octahedra, edges with three LiO6 octahedra, and edges with eight LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Te–O bond distances ranging from 1.94–2.01 Å. In the second Te5+ site, Te5+ is bonded to six O2- atoms to form distorted TeO6 octahedra that share corners with three TeO6 octahedra, corners with three LiO5 square pyramids, edges with two LiO6 octahedra, and edges with ten LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Te–O bond distances ranging from 1.94–2.48 Å. In the third Te5+ site, Te5+ is bonded to six O2- atoms to form distorted TeO6 octahedra that share a cornercorner with one TeO6 octahedra, corners with five LiO5 square pyramids, an edgeedge with one TeO6 octahedra, edges with two LiO6 octahedra, and edges with nine LiO5 square pyramids. The corner-sharing octahedral tilt angles are 6°. There are a spread of Te–O bond distances ranging from 1.95–2.55 Å. In the fourth Te5+ site, Te5+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TeO6 octahedra, a cornercorner with one LiO5 square pyramid, edges with three LiO6 octahedra, and edges with nine LiO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. There is two shorter (1.96 Å) and four longer (1.97 Å) Te–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form a mixture of corner and edge-sharing OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the second O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form a mixture of corner and edge-sharing OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 6–23°. In the third O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form a mixture of corner and edge-sharing OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 8–23°. In the fourth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form OLi5Te octahedra that share corners with six OLi4Te2 octahedra and edges with ten OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 2–23°. In the fifth O2- site, O2- is bonded to four Li1+ and two Te5+ atoms to form a mixture of distorted corner and edge-sharing OLi4Te2 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. In the sixth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form a mixture of corner and edge-sharing OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 8–19°. In the seventh O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form a mixture of corner and edge-sharing OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the eighth O2- site, O2- is bonded to four Li1+ and two Te5+ atoms to form distorted OLi4Te2 octahedra that share corners with five OLi4Te2 octahedra and edges with ten OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 3–23°. In the ninth O2- site, O2- is bonded to four Li1+ and two Te5+ atoms to form a mixture of distorted corner and edge-sharing OLi4Te2 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. In the tenth O2- site, O2- is bonded to four Li1+ and two Te5+ atoms to form distorted OLi4Te2 octahedra that share corners with five OLi4Te2 octahedra and edges with ten OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 1–19°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Te5+ atoms. In the twelfth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form a mixture of corner and edge-sharing OLi5Te octahedra. The corner-sharing octahedra tilt angles range from 7–9°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form OLi5Te octahedra that share corners with five OLi5Te octahedra and edges with ten OLi4Te2 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Te5+ atoms to form a mixture of distorted corner and edge-sharing OLi4Te2 octahedra. The corner-sharing octahedra tilt angles range from 3–19°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form OLi5Te octahedra that share corners with two OLi5Te octahedra and edges with eleven OLi4Te2 octahedra. The corner-sharing octahedra tilt angles range from 11–12°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form OLi5Te octahedra that share corners with six OLi5Te octahedra and edges with eleven OLi4Te2 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. In the seventeenth O2- site, O2- is bonded to five Li1+ and one Te5+ atom to form OLi5Te octahedra that share corners with six OLi4Te2 octahedra and edges with nine OLi5Te octahedra. The corner-sharing

36 MATERIALS SCIENCE↗

Materials Data on Nd14Zn43Sn3 by Materials Project

Nd14Zn43Sn3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are fourteen inequivalent Nd sites. In the first Nd site, Nd is bonded in a 11-coordinate geometry to fourteen Zn atoms. There are a spread of Nd–Zn bond distances ranging from 3.14–3.41 Å. In the second Nd site, Nd is bonded in a 11-coordinate geometry to twelve Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.13–3.42 Å. Both Nd–Sn bond lengths are 3.31 Å. In the third Nd site, Nd is bonded in a 11-coordinate geometry to twelve Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.13–3.44 Å. Both Nd–Sn bond lengths are 3.31 Å. In the fourth Nd site, Nd is bonded in a 11-coordinate geometry to twelve Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.12–3.41 Å. Both Nd–Sn bond lengths are 3.31 Å. In the fifth Nd site, Nd is bonded in a 5-coordinate geometry to thirteen Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.10–3.59 Å. Both Nd–Sn bond lengths are 3.29 Å. In the sixth Nd site, Nd is bonded in a 5-coordinate geometry to thirteen Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.09–3.59 Å. Both Nd–Sn bond lengths are 3.28 Å. In the seventh Nd site, Nd is bonded in a 5-coordinate geometry to fifteen Zn atoms. There are a spread of Nd–Zn bond distances ranging from 3.09–3.61 Å. In the eighth Nd site, Nd is bonded in a 5-coordinate geometry to thirteen Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.10–3.60 Å. Both Nd–Sn bond lengths are 3.29 Å. In the ninth Nd site, Nd is bonded in a 11-coordinate geometry to seventeen Zn atoms. There are a spread of Nd–Zn bond distances ranging from 3.11–3.45 Å. In the tenth Nd site, Nd is bonded in a 12-coordinate geometry to seventeen Zn atoms. There are a spread of Nd–Zn bond distances ranging from 3.12–3.45 Å. In the eleventh Nd site, Nd is bonded in a 4-coordinate geometry to seventeen Zn atoms. There are a spread of Nd–Zn bond distances ranging from 3.11–3.47 Å. In the twelfth Nd site, Nd is bonded in a 12-coordinate geometry to seventeen Zn atoms. There are a spread of Nd–Zn bond distances ranging from 3.10–3.45 Å. In the thirteenth Nd site, Nd is bonded in a 6-coordinate geometry to twelve Zn and two equivalent Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.11–3.61 Å. Both Nd–Sn bond lengths are 3.34 Å. In the fourteenth Nd site, Nd is bonded in a 6-coordinate geometry to ten Zn and four Sn atoms. There are a spread of Nd–Zn bond distances ranging from 3.11–3.61 Å. There are two shorter (3.33 Å) and two longer (3.35 Å) Nd–Sn bond lengths. There are forty-three inequivalent Zn sites. In the first Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.53–2.81 Å. In the second Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.53–2.78 Å. In the third Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.53–2.77 Å. In the fourth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.53–2.77 Å. In the fifth Zn site, Zn is bonded in a distorted single-bond geometry to five Nd, six Zn, and one Sn atom. There are a spread of Zn–Zn bond distances ranging from 2.58–2.90 Å. The Zn–Sn bond length is 2.65 Å. In the sixth Zn site, Zn is bonded in a distorted single-bond geometry to five Nd, six Zn, and one Sn atom. There are a spread of Zn–Zn bond distances ranging from 2.58–2.90 Å. The Zn–Sn bond length is 2.65 Å. In the seventh Zn site, Zn is bonded to five Nd and seven Zn atoms to form distorted ZnNd5Zn7 cuboctahedra that share corners with six ZnNd4Zn8 cuboctahedra, an edgeedge with one ZnNd4Zn8 cuboctahedra, and faces with two equivalent ZnNd5Zn7 cuboctahedra. There are a spread of Zn–Zn bond distances ranging from 2.55–2.97 Å. In the eighth Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, six Zn, and one Sn atom. There are a spread of Zn–Zn bond distances ranging from 2.59–2.90 Å. The Zn–Sn bond length is 2.66 Å. In the ninth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.59–2.79 Å. In the tenth Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, four Zn, and one Sn atom. There are a spread of Zn–Zn bond distances ranging from 2.55–2.76 Å. The Zn–Sn bond length is 2.71 Å. In the eleventh Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, four Zn, and one Sn atom. There are a spread of Zn–Zn bond distances ranging from 2.55–2.77 Å. The Zn–Sn bond length is 2.70 Å. In the twelfth Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, four Zn, and one Sn atom. There are a spread of Zn–Zn bond distances ranging from 2.55–2.76 Å. The Zn–Sn bond length is 2.71 Å. In the thirteenth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. Both Zn–Zn bond lengths are 2.57 Å. In the fourteenth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. Both Zn–Zn bond lengths are 2.56 Å. In the fifteenth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. Both Zn–Zn bond lengths are 2.56 Å. In the sixteenth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. Both Zn–Zn bond lengths are 2.57 Å. In the seventeenth Zn site, Zn is bonded in a 10-coordinate geometry to five Nd and five Zn atoms. There are two shorter (2.57 Å) and one longer (2.58 Å) Zn–Zn bond lengths. In the eighteenth Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, four Zn, and one Sn atom. Both Zn–Zn bond lengths are 2.53 Å. The Zn–Sn bond length is 2.69 Å. In the nineteenth Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, four Zn, and one Sn atom. Both Zn–Zn bond lengths are 2.53 Å. The Zn–Sn bond length is 2.69 Å. In the twentieth Zn site, Zn is bonded in a 1-coordinate geometry to five Nd, four Zn, and one Sn atom. Both Zn–Zn bond lengths are 2.54 Å. The Zn–Sn bond length is 2.69 Å. In the twenty-first Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.68–2.87 Å. In the twenty-second Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.69–2.88 Å. In the twenty-third Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.68–2.88 Å. In the twenty-fourth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are a spread of Zn–Zn bond distances ranging from 2.69–2.88 Å. In the twenty-fifth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. The Zn–Zn bond length is 2.55 Å. In the twenty-sixth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. The Zn–Zn bond length is 2.55 Å. In the twenty-seventh Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. The Zn–Zn bond length is 2.54 Å. In the twenty-eighth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. The Zn–Zn bond length is 2.56 Å. In the twenty-ninth Zn site, Zn is bonded to four Nd and eight Zn atoms to form a mixture of distorted corner and face-sharing ZnNd4Zn8 cuboctahedra. There are two shorter (2.86 Å) and two longer (2.87 Å) Zn–Zn bond lengths. In the thirtieth Zn site, Zn is bonded to four Nd and eight Zn atoms to form a mixture of distorted corner and face-sharing ZnNd4Zn8 cuboctahedra. There are two shorter (2.86 Å) and two longer (2.87 Å) Zn–Zn bond lengths. In the thirty-first Zn site, Zn is bonded to four Nd and eight Zn atoms to form distorted ZnNd4Zn8 cuboctahedra that share corners with four ZnNd4Zn8 cuboctahedra, an edgeedge with one ZnNd5Zn7 cuboctahedra, and faces with five ZnNd4Zn8 cuboctahedra. There are two shorter (2.86 Å) and two longer (2.88 Å) Zn–Zn bond lengths. In the thirty-second Zn site, Zn is bonded to four Nd and eight Zn atoms to form a mixture of distorted corner and face-sharing ZnNd4Zn8 cuboctahedra. There are two shorter (2.86 Å) and two longer (2.87 Å) Zn–Zn bond lengths. In the thirty-third Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are one shorter (2.69 Å) and one longer (2.79 Å) Zn–Zn bond lengths. In the thirty-fourth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are one shorter (2.69 Å) and one longer (2.78 Å) Zn–Zn bond lengths. In the thirty-fifth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are one shorter (2.70 Å) and one longer (2.78 Å) Zn–Zn bond lengths. In the thirty-sixth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. There are one shorter (2.69 Å) and one longer (2.77 Å) Zn–Zn bond lengths. In the thirty-seventh Zn site, Zn is bonded to four Nd and eight Zn atoms to form face-sharing ZnNd4Zn8 cuboctahedra. In the thirty-eighth Zn site, Zn is bonded to four Nd and eight Zn atoms to form ZnNd4Zn8 cuboctahedra that share corners with two equivalent ZnNd5Zn7 cuboctahedra and faces with six ZnNd4Zn8 cuboctahedra. In the thirty-ninth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. In the fortieth Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. In the forty-first Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. In the forty-second Zn site, Zn is bonded in a 10-coordinate geometry to four Nd and six Zn atoms. In the forty-third Zn site, Zn is bonded in a 9-coordinate geometry to six Nd and three Zn atoms. There are three inequivalent Sn sites. In the first Sn site, Sn is bonded in a 9-coordinate geometry to six Nd and three Zn atoms. In the second Sn site, Sn is bonded in a 9-coordinate geometry to six Nd and three Zn atoms. In the third Sn site, Sn is bonded in a 9-coordinate geometry to six Nd and three Zn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti2(Mo3Se4)5 by Materials Project

Ti2(Mo3Se4)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six Se2- atoms to form distorted TiSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Ti–Se bond distances ranging from 2.47–3.09 Å. In the second Ti4+ site, Ti4+ is bonded to six Se2- atoms to form distorted TiSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Ti–Se bond distances ranging from 2.48–3.09 Å. There are fifteen inequivalent Mo+2.13+ sites. In the first Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Mo–Se bond distances ranging from 2.53–2.73 Å. In the second Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one TiSe6 octahedra, 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 third Mo+2.13+ site, Mo+2.13+ 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 TiSe6 octahedra. There are a spread of Mo–Se bond distances ranging from 2.58–2.66 Å. In the fourth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mo–Se bond distances ranging from 2.56–2.67 Å. In the fifth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.77 Å. In the sixth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Mo–Se bond distances ranging from 2.53–2.71 Å. In the seventh Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with two equivalent TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.72 Å. In the eighth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.80 Å. In the ninth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.70 Å. In the tenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Mo–Se bond distances ranging from 2.57–2.66 Å. In the eleventh Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.78 Å. In the twelfth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 16–57°. There are a spread of Mo–Se bond distances ranging from 2.59–2.72 Å. In the thirteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three equivalent TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 18–55°. There are a spread of Mo–Se bond distances ranging from 2.57–2.72 Å. In the fourteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two equivalent TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.79 Å. In the fifteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.70 Å. There are twenty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the second Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the seventh Se2- site, Se2- is bonded in a 6-coordinate geometry to three Mo+2.13+ atoms. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.13+ atoms. In the ninth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the tenth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the eleventh Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the thirteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fourteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fifteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the sixteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the seventeenth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the eighteenth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the twentieth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ni7O12 by Materials Project

Li3Ni7O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.00–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.02–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.01–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 1.99–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 1.99–2.11 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Li–O bond distances ranging from 1.99–2.12 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Li–O bond distances ranging from 2.03–2.10 Å. There are twenty-one inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Ni–O bond distances ranging from 1.87–1.95 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Ni–O bond distances ranging from 1.90–2.06 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Ni–O bond distances ranging from 1.87–1.94 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Ni–O bond distances ranging from 1.88–2.12 Å. In the fifth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Ni–O bond distances ranging from 1.88–1.94 Å. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Ni–O bond distances ranging from 1.89–2.06 Å. In the seventh Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ni–O bond distances ranging from 1.86–2.12 Å. In the eighth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Ni–O bond distances ranging from 1.89–2.02 Å. In the ninth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the tenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the eleventh Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ni–O bond distances ranging from 1.87–2.12 Å. In the twelfth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Ni–O bond distances ranging from 1.87–2.02 Å. In the thirteenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Ni–O bond distances ranging from 2.01–2.12 Å. In the fourteenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Ni–O bond distances ranging from 2.00–2.18 Å. In the fifteenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Ni–O bond distances ranging from 1.89–2.10 Å. In the sixteenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with five LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Ni–O bond distances ranging from 1.88–2.03 Å. In the seventeenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Ni–O bond distances ranging from 2.01–2.11 Å. In the eighteenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Ni–O bond distances ranging from 1.87–2.12 Å. In the nineteenth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Ni–O bond distances ranging from 2.02–2.11 Å. In the twentieth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ni–O bond distances ranging from 1.90–2.08 Å. In the twenty-first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, corners with two NiO6 octahedra, edges with two LiO6 octahedra, and edges with eight NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ni–O bond distances ranging from 1.90–2.06 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Ni3+ atoms to form OLiNi4 square pyramids that share corners with nine OLiNi4 square pyramids and edges with eight OLi2Ni3 square pyramids. In the second O2- site, O2- is bonded to two Li1+ and three Ni3+ atoms to form OLi2Ni3 square pyramids that share corners with nine OLiNi4 square pyramids and edges with eight OLi2Ni3 square pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Ni3+ atoms to form a mixture of edge and corner-sharing OLiNi4 square pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and three Ni3+ atoms to form a mixture of edge and corner-sharing OLi2Ni3 square pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and four Ni3+ atoms to form a mixture of edge and corner-sharing OLiNi4 square pyramids. In the sixth O2- site, O2- is bonded to two Li1+ and three Ni3+ atoms to form a mixture of edge and corner-sharing OLi2Ni3 square pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and four Ni3+ atoms to

36 MATERIALS SCIENCE↗

Materials Data on CrFeCoNi by Materials Project

CrFeCoNi is beta-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Cr sites. In the first Cr site, Cr is bonded to two Cr, two Fe, seven Co, and one Ni atom to form CrCr2Fe2Co7Ni cuboctahedra that share corners with two equivalent CoCr2Fe6Co3Ni cuboctahedra, corners with four FeCrFe2Co5Ni4 cuboctahedra, corners with six CrCr3Fe3Co3Ni3 cuboctahedra, edges with four CrCrFe2Co5Ni4 cuboctahedra, edges with six CoCr6FeCoNi4 cuboctahedra, edges with seven FeCr4Fe4Co4 cuboctahedra, edges with seven NiCr3Fe3Co2Ni4 cuboctahedra, faces with three FeCr3FeCo4Ni4 cuboctahedra, faces with three NiCr5Fe3Co3Ni cuboctahedra, faces with four CrCr3Fe4Co2Ni3 cuboctahedra, and faces with eight CoCr6FeCo4Ni cuboctahedra. There are one shorter (2.51 Å) and one longer (2.53 Å) Cr–Cr bond lengths. There are one shorter (2.45 Å) and one longer (2.51 Å) Cr–Fe bond lengths. There are a spread of Cr–Co bond distances ranging from 2.46–2.52 Å. The Cr–Ni bond length is 2.49 Å. In the second Cr site, Cr is bonded to three Cr, three Fe, three Co, and three Ni atoms to form distorted CrCr3Fe3Co3Ni3 cuboctahedra that share corners with two equivalent CoCr2Fe6Co3Ni cuboctahedra, corners with four FeCrFe2Co5Ni4 cuboctahedra, corners with six CrCr2Fe2Co7Ni cuboctahedra, edges with five FeCr3FeCo4Ni4 cuboctahedra, edges with six CrCr3Fe4Co2Ni3 cuboctahedra, edges with six NiCr4Fe2Co3Ni3 cuboctahedra, edges with seven CoCr3Fe5Co4 cuboctahedra, faces with four FeCr4Fe4Co4 cuboctahedra, faces with four CoCr6FeCo4Ni cuboctahedra, faces with five CrCrFe2Co5Ni4 cuboctahedra, and faces with five NiCr5Fe3Co3Ni cuboctahedra. There are a spread of Cr–Cr bond distances ranging from 2.43–2.56 Å. There are a spread of Cr–Fe bond distances ranging from 2.42–2.50 Å. There are a spread of Cr–Co bond distances ranging from 2.46–2.51 Å. There are a spread of Cr–Ni bond distances ranging from 2.52–2.57 Å. In the third Cr site, Cr is bonded to three Cr, four Fe, two Co, and three Ni atoms to form CrCr3Fe4Co2Ni3 cuboctahedra that share corners with two equivalent CoCr3Fe3CoNi5 cuboctahedra, corners with two equivalent NiCr3Fe3Co4Ni2 cuboctahedra, corners with four CrCrFe2Co5Ni4 cuboctahedra, corners with four FeCr4Fe4Co4 cuboctahedra, edges with four NiCr2Fe6Co2Ni2 cuboctahedra, edges with five FeCr4Fe3Co4Ni cuboctahedra, edges with six CrCr3Fe3Co3Ni3 cuboctahedra, edges with nine CoCr6FeCo4Ni cuboctahedra, faces with four CrCr2Fe2Co7Ni cuboctahedra, faces with four CoCr3Fe5Co4 cuboctahedra, faces with five FeCr3FeCo4Ni4 cuboctahedra, and faces with five NiCr5Fe3Co3Ni cuboctahedra. There are one shorter (2.49 Å) and one longer (2.53 Å) Cr–Cr bond lengths. There are a spread of Cr–Fe bond distances ranging from 2.47–2.51 Å. There are one shorter (2.50 Å) and one longer (2.52 Å) Cr–Co bond lengths. There are a spread of Cr–Ni bond distances ranging from 2.48–2.50 Å. In the fourth Cr site, Cr is bonded to four Cr, three Fe, two Co, and three Ni atoms to form CrCr4Fe3Co2Ni3 cuboctahedra that share corners with two equivalent CoCr2Fe6Co3Ni cuboctahedra, corners with four FeCrFe4Co3Ni4 cuboctahedra, corners with six CrCr2Fe2Co7Ni cuboctahedra, edges with five CrCrFe2Co5Ni4 cuboctahedra, edges with six CoCr6FeCo4Ni cuboctahedra, edges with six NiCr5Fe3Co3Ni cuboctahedra, edges with seven FeCr4Fe4Co4 cuboctahedra, faces with three FeCr5Fe3CoNi3 cuboctahedra, faces with four CoCr6FeCoNi4 cuboctahedra, faces with five CrCr3Fe4Co2Ni3 cuboctahedra, and faces with six NiCr4Fe2Co3Ni3 cuboctahedra. There are two shorter (2.44 Å) and one longer (2.47 Å) Cr–Cr bond lengths. There are a spread of Cr–Fe bond distances ranging from 2.48–2.54 Å. There are one shorter (2.50 Å) and one longer (2.51 Å) Cr–Co bond lengths. There are a spread of Cr–Ni bond distances ranging from 2.49–2.55 Å. In the fifth Cr site, Cr is bonded to one Cr, two Fe, five Co, and four Ni atoms to form distorted CrCrFe2Co5Ni4 cuboctahedra that share corners with two equivalent CoCr3Fe3CoNi5 cuboctahedra, corners with two equivalent NiCr2Fe3Co2Ni5 cuboctahedra, corners with four CrCr3Fe4Co2Ni3 cuboctahedra, corners with four FeCr4Fe4Co4 cuboctahedra, edges with four CoCr6FeCo4Ni cuboctahedra, edges with six NiCr2FeCo5Ni4 cuboctahedra, edges with seven CrCr2Fe2Co7Ni cuboctahedra, edges with seven FeCr5Fe3CoNi3 cuboctahedra, faces with two CrCr3Fe3Co3Ni3 cuboctahedra, faces with four FeCr3FeCo4Ni4 cuboctahedra, faces with six CoCr2Fe6Co3Ni cuboctahedra, and faces with six NiCr5Fe3Co3Ni cuboctahedra. There are one shorter (2.49 Å) and one longer (2.52 Å) Cr–Fe bond lengths. There are a spread of Cr–Co bond distances ranging from 2.46–2.50 Å. There are a spread of Cr–Ni bond distances ranging from 2.48–2.52 Å. In the sixth Cr site, Cr is bonded to three Cr, one Fe, six Co, and two Ni atoms to form CrCr3FeCo6Ni2 cuboctahedra that share corners with two equivalent FeCr4Fe4Co4 cuboctahedra, corners with two equivalent CoCr3Fe3CoNi5 cuboctahedra, corners with four CrCr3Fe4Co2Ni3 cuboctahedra, corners with four NiCr3Fe3Co4Ni2 cuboctahedra, edges with five CrCr3Fe3Co3Ni3 cuboctahedra, edges with five CoCr3Fe5Co4 cuboctahedra, edges with seven FeCr5Fe3CoNi3 cuboctahedra, edges with seven NiCr5Fe3Co3Ni cuboctahedra, faces with two FeCr4Fe3Co4Ni cuboctahedra, faces with three NiCr2Fe3Co3Ni4 cuboctahedra, faces with five CrCr2Fe2Co7Ni cuboctahedra, and faces with eight CoCr6FeCo4Ni cuboctahedra. The Cr–Cr bond length is 2.50 Å. The Cr–Fe bond length is 2.51 Å. There are a spread of Cr–Co bond distances ranging from 2.47–2.52 Å. There are one shorter (2.48 Å) and one longer (2.49 Å) Cr–Ni bond lengths. In the seventh Cr site, Cr is bonded to one Cr, three Fe, four Co, and four Ni atoms to form CrCrFe3Co4Ni4 cuboctahedra that share corners with two equivalent CrCr2Fe6Co2Ni2 cuboctahedra, corners with two equivalent FeCr3FeCo4Ni4 cuboctahedra, corners with two equivalent NiCr2Fe6Co2Ni2 cuboctahedra, corners with six CoCr2Fe4Co2Ni4 cuboctahedra, edges with five CoCr2Fe6Co3Ni cuboctahedra, edges with six CrCr2Fe2Co7Ni cuboctahedra, edges with six NiCr5Fe3Co3Ni cuboctahedra, edges with seven FeCr4Fe3Co4Ni cuboctahedra, a faceface with one CrCr3Fe3Co3Ni3 cuboctahedra, faces with four FeCr4Fe4Co4 cuboctahedra, faces with six CoCr6FeCo4Ni cuboctahedra, and faces with seven NiCr3Fe3Co2Ni4 cuboctahedra. There are two shorter (2.50 Å) and one longer (2.56 Å) Cr–Fe bond lengths. There are a spread of Cr–Co bond distances ranging from 2.49–2.51 Å. There are three shorter (2.51 Å) and one longer (2.52 Å) Cr–Ni bond lengths. In the eighth Cr site, Cr is bonded to three Cr, one Fe, three Co, and five Ni atoms to form distorted CrCr3FeCo3Ni5 cuboctahedra that share corners with six CrCr2Fe2Co7Ni cuboctahedra, corners with six FeCrFe2Co5Ni4 cuboctahedra, edges with five CrCr3Fe4Co2Ni3 cuboctahedra, edges with five FeCr5Fe3CoNi3 cuboctahedra, edges with seven CoCr6FeCo4Ni cuboctahedra, edges with seven NiCr5Fe3Co3Ni cuboctahedra, faces with two FeCr2Fe2Co3Ni5 cuboctahedra, faces with four CrCr3Fe4CoNi4 cuboctahedra, faces with five CoCr2Fe4Co2Ni4 cuboctahedra, and faces with seven NiCr3Fe3Co2Ni4 cuboctahedra. There are a spread of Cr–Cr bond distances ranging from 2.45–2.56 Å. The Cr–Fe bond length is 2.57 Å. There are a spread of Cr–Co bond distances ranging from 2.43–2.49 Å. There are a spread of Cr–Ni bond distances ranging from 2.48–2.56 Å. In the ninth Cr site, Cr is bonded to three Cr, four Fe, one Co, and four Ni atoms to form distorted CrCr3Fe4CoNi4 cuboctahedra that share corners with two equivalent FeCr5Fe3CoNi3 cuboctahedra, corners with four CoCr3Fe5Co4 cuboctahedra, corners with six NiCr2Fe6Co3Ni cuboctahedra, edges with five CoCr6FeCo4Ni cuboctahedra, edges with five NiCr3Fe3Co2Ni4 cuboctahedra, edges with seven CrCr3Fe3Co3Ni3 cuboctahedra, edges with seven FeCr4Fe4Co4 cuboctahedra, faces with four CrCr3FeCo3Ni5 cuboctahedra, faces with four CoCr2Fe4Co2Ni4 cuboctahedra, faces with five FeCr3FeCo4Ni4 cuboctahedra, and faces with five NiCr4Fe2Co3Ni3 cuboctahedra. There are one shorter (2.60 Å) and one longer (2.61 Å) Cr–Cr bond lengths. There are a spread of Cr–Fe bond distances ranging from 2.46–2.51 Å. The Cr–Co bond length is 2.45 Å. There are a spread of Cr–Ni bond distances ranging from 2.46–2.54 Å. In the tenth Cr site, Cr is bonded to two Cr, five Fe, one Co, and four Ni atoms to form distorted CrCr2Fe5CoNi4 cuboctahedra that share corners with two equivalent CoCr2FeCo3Ni6 cuboctahedra, corners with four NiCr5Fe3Co3Ni cuboctahedra, corners with six FeCr3FeCo4Ni4 cuboctahedra, edges with four FeCr5Fe3CoNi3 cuboctahedra, edges with six CrCr3Fe4Co2Ni3 cuboctahedra, edges with seven CoCr2Fe6Co3Ni cuboctahedra, edges with seven NiCr3Fe3Co2Ni4 cuboctahedra, faces with two CoCr2Fe4Co4Ni2 cuboctahedra, faces with three CrCr3Fe4Co2Ni3 cuboctahedra, faces with five NiCr2Fe6Co2Ni2 cuboctahedra, and faces with eight FeCr4Fe3Ni5 cuboctahedra. There are one shorter (2.52 Å) and one longer (2.58 Å) Cr–Cr bond lengths. There are a spread of Cr–Fe bond distances ranging from 2.49–2.51 Å. The Cr–Co bond length is 2.50 Å. There are a spread of Cr–Ni bond distances ranging from 2.50–2.52 Å. In the eleventh Cr site, Cr is bonded to five Cr, one Fe, four Co, and two Ni atoms to form distorted CrCr5FeCo4Ni2 cuboctahedra that share corners with two equivalent CrCr5Fe4Ni3 cuboctahedra, corners with two equivalent FeCr2Fe4Co3Ni3 cuboctahedra, corners with four CoCr2Fe3Co4Ni3 cuboctahedra, corners with four NiCr3Fe3Co2Ni4 cuboctahedra, edges with four CoCr3Fe5Co4 cuboctahedra, edges with five CrCr2Fe2Co7Ni cuboctahedra, edges with seven FeCr5Fe3CoNi3 cuboctahedra, edges with eight NiCr5Fe3Co3Ni cuboctahedra, faces with three FeCr4Fe4Co4 cuboctahedra, faces with three NiCr3Fe3Co4Ni2 cuboctahedra, faces with five CoCr6FeCo4Ni cuboctahedra, and faces with seven CrCr3Fe3Co3Ni3 cuboctahedra. Both Cr–Cr bond lengths are 2.51 Å. The Cr–Fe bond length is 2.52 Å. There are a spread of Cr–Co bond distances ranging from 2.42–2.51 Å. There are one shorter (2.47 Å) and one longer (2.50 Å) Cr–Ni bond lengths. In the twelfth Cr site, Cr is bonded to three Cr, four Fe, two Co, and three Ni atoms to form distorted CrCr3Fe4Co2Ni3 cuboctahedra that share corners with two equivalent CrCr3Fe5Co3Ni cuboctahedra, corners with two equivalent FeCr2Fe2Co3Ni5 cuboctahedra, corners with four CoCr2Fe4Co2Ni4 cuboctahedra, corners with four NiCr3Fe2Co4Ni3 cuboctahedra, edges with five CrCrFe2Co5Ni4 cuboctahedra, edges with six CoCr3Fe5Co4 cuboctahedra, edges with six NiCr3Fe3Co2Ni4 cuboctahedra, edges with seven FeCr4Fe4Co4 cuboctahedra, faces with two CoCr4Fe3Co2Ni3 cuboctahedra, faces with three NiCr5Fe3Co3Ni cuboctahedra, faces with six CrCr2Fe2Co7Ni cuboctahedra, and faces with seven FeCrFe4Co3Ni4 cuboctahedra. The Cr–Cr bond length is 2.55 Å. There are a spread of Cr–Fe bond distances ranging from 2.45–2.52 Å. There are one shorter (2.44 Å) and one longer (2.46 Å) Cr–Co bond lengths. There are a spread of Cr–Ni bond distances ranging from 2.43–2.57 Å. In the thirteenth Cr site, Cr is bonded to three Cr, five Fe, three Co, and one Ni atom to form distorted CrCr3Fe5Co3Ni cuboctahedra that share corners with two equivalent CrCr3Fe4Co2Ni3 cuboctahedra, corners with four CoCr2Fe4Co2Ni4 cuboctahedra, corners with six NiCr2FeCo5Ni4 cuboctahedra, edges with five CrCr3Fe4Co2Ni3 cuboctahedra, edges with five FeCr5Fe3CoNi3 cuboctahedra, edges with seven CoCr6FeCoNi4 cuboctahedra, edges with seven NiCr4Fe2Co3Ni3 cuboctahedra, a faceface with one NiCr3Fe3Co4Ni2 cuboctahedra, faces with four CoCr3Fe5Co4 cuboctahedra, faces with six CrCr2Fe2Co7Ni cuboctahedra, and faces with seven FeCr4Fe4Co4 cuboctahedra. The Cr–Cr bond length is 2.61 Å. There are a spread of Cr–Fe bond distances ranging from 2.45–2.60 Å. There are a spread of Cr–Co bond distances ranging from 2.39–2.43 Å. The Cr–Ni bond length is 2.51 Å. In the fourteenth Cr site, Cr is bonded to two Cr, six Fe, two Co, a

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn7O12 by Materials Project

Li3Mn7O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 2.06–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 2.06–2.33 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.09–2.33 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.05–2.34 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 2.00–2.25 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Li–O bond distances ranging from 2.05–2.27 Å. There are twenty-one inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Mn–O bond distances ranging from 1.94–2.15 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Mn–O bond distances ranging from 1.90–2.25 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are four shorter (1.96 Å) and two longer (2.04 Å) Mn–O bond lengths. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Mn–O bond distances ranging from 1.94–2.16 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Mn–O bond distances ranging from 1.96–2.06 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Mn–O bond distances ranging from 1.94–2.05 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There is four shorter (1.98 Å) and two longer (2.00 Å) Mn–O bond length. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Mn–O bond distances ranging from 1.93–2.26 Å. In the tenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Mn–O bond distances ranging from 1.97–2.00 Å. In the eleventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Mn–O bond distances ranging from 1.91–2.17 Å. In the twelfth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 2.10–2.25 Å. In the thirteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Mn–O bond distances ranging from 1.93–2.06 Å. In the fourteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 2.00–2.16 Å. In the fifteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–16°. There are a spread of Mn–O bond distances ranging from 2.07–2.39 Å. In the sixteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Mn–O bond distances ranging from 2.09–2.27 Å. In the seventeenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–14°. There are a spread of Mn–O bond distances ranging from 1.99–2.23 Å. In the eighteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–O bond distances ranging from 2.10–2.24 Å. In the nineteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 2.09–2.26 Å. In the twentieth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 2.00–2.17 Å. In the twenty-first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Mn–O bond distances ranging from 2.08–2.28 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Mn3+ atoms to form a mixture of edge and corner-sharing OLiMn4 square pyramids. In the second O2- site, O2- is bonded to one Li1+ and four Mn3+ atoms to form a mixture of edge and corner-sharing OLiMn4 square pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Mn3+ atoms to form a mixture of edge and corner-sharing OLiMn4 square pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and three Mn3+ atoms to form a mixture of edge and corner-sharing OLi2Mn3 square pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and four Mn3+ atoms to form a mixture of edge and corner-sharing OLiMn4 square pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and four Mn3+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 square pyramids and edges with eight OLiMn4 square pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and four Mn3+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 squa

36 MATERIALS SCIENCE↗