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Materials Data on Cr2B3Os by Materials Project

Cr2OsB3 is delta Molybdenum Boride-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Cr+2.50+ sites. In the first Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to seven B1- atoms. There are a spread of Cr–B bond distances ranging from 2.18–2.30 Å. In the second Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to seven B1- atoms. There are a spread of Cr–B bond distances ranging from 2.17–2.30 Å. In the third Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to six Os2- and seven B1- atoms. There are a spread of Cr–Os bond distances ranging from 2.69–2.77 Å. There are a spread of Cr–B bond distances ranging from 2.23–2.36 Å. In the fourth Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to two equivalent Os2- and seven B1- atoms. Both Cr–Os bond lengths are 2.76 Å. There are a spread of Cr–B bond distances ranging from 2.13–2.40 Å. In the fifth Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to two equivalent Os2- and seven B1- atoms. Both Cr–Os bond lengths are 2.74 Å. There are a spread of Cr–B bond distances ranging from 2.12–2.41 Å. In the sixth Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to four equivalent Os2- and seven B1- atoms. There are two shorter (2.70 Å) and two longer (2.73 Å) Cr–Os bond lengths. There are a spread of Cr–B bond distances ranging from 2.20–2.31 Å. In the seventh Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to four equivalent Os2- and seven B1- atoms. There are two shorter (2.73 Å) and two longer (2.74 Å) Cr–Os bond lengths. There are a spread of Cr–B bond distances ranging from 2.20–2.30 Å. In the eighth Cr+2.50+ site, Cr+2.50+ is bonded in a 7-coordinate geometry to six Os2- and seven B1- atoms. There are a spread of Cr–Os bond distances ranging from 2.69–2.76 Å. There are a spread of Cr–B bond distances ranging from 2.21–2.39 Å. There are four inequivalent Os2- sites. In the first Os2- site, Os2- is bonded in a 7-coordinate geometry to six Cr+2.50+ and seven B1- atoms. There are a spread of Os–B bond distances ranging from 2.22–2.35 Å. In the second Os2- site, Os2- is bonded in a 5-coordinate geometry to six Cr+2.50+ and seven B1- atoms. There are a spread of Os–B bond distances ranging from 2.25–2.31 Å. In the third Os2- site, Os2- is bonded in a 5-coordinate geometry to six Cr+2.50+ and seven B1- atoms. There are a spread of Os–B bond distances ranging from 2.23–2.35 Å. In the fourth Os2- site, Os2- is bonded in a 5-coordinate geometry to six Cr+2.50+ and seven B1- atoms. There are a spread of Os–B bond distances ranging from 2.26–2.32 Å. There are twelve inequivalent B1- sites. In the first B1- site, B1- is bonded in a 9-coordinate geometry to four Cr+2.50+, three Os2-, and two equivalent B1- atoms. Both B–B bond lengths are 1.77 Å. In the second B1- site, B1- is bonded in a 9-coordinate geometry to five Cr+2.50+, two equivalent Os2-, and two equivalent B1- atoms. Both B–B bond lengths are 1.77 Å. In the third B1- site, B1- is bonded in a 9-coordinate geometry to five Cr+2.50+, two equivalent Os2-, and two equivalent B1- atoms. Both B–B bond lengths are 1.76 Å. In the fourth B1- site, B1- is bonded in a 9-coordinate geometry to four Cr+2.50+, three Os2-, and two equivalent B1- atoms. Both B–B bond lengths are 1.77 Å. In the fifth B1- site, B1- is bonded in a 9-coordinate geometry to six Cr+2.50+, one Os2-, and two equivalent B1- atoms. Both B–B bond lengths are 1.78 Å. In the sixth B1- site, B1- is bonded in a 9-coordinate geometry to six Cr+2.50+, one Os2-, and two equivalent B1- atoms. Both B–B bond lengths are 1.78 Å. In the seventh B1- site, B1- is bonded in a 9-coordinate geometry to three Cr+2.50+, four Os2-, and two equivalent B1- atoms. In the eighth B1- site, B1- is bonded in a 9-coordinate geometry to five Cr+2.50+, two equivalent Os2-, and two equivalent B1- atoms. In the ninth B1- site, B1- is bonded in a 9-coordinate geometry to five Cr+2.50+, two equivalent Os2-, and two equivalent B1- atoms. In the tenth B1- site, B1- is bonded in a 9-coordinate geometry to five Cr+2.50+, two equivalent Os2-, and two equivalent B1- atoms. In the eleventh B1- site, B1- is bonded in a 9-coordinate geometry to five Cr+2.50+, two equivalent Os2-, and two equivalent B1- atoms. In the twelfth B1- site, B1- is bonded in a 9-coordinate geometry to three Cr+2.50+, four Os2-, and two equivalent B1- atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cs3(Cr5Se8)4 by Materials Project

Cs3(Cr5Se8)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded in a 10-coordinate geometry to ten Se2- atoms. There are a spread of Cs–Se bond distances ranging from 3.50–3.94 Å. In the second Cs1+ site, Cs1+ is bonded in a 10-coordinate geometry to ten Se2- atoms. There are a spread of Cs–Se bond distances ranging from 3.63–3.80 Å. There are ten inequivalent Cr+3.05+ sites. In the first Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Cr–Se bond distances ranging from 2.47–2.67 Å. In the second Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–Se bond distances ranging from 2.48–2.68 Å. In the third Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–Se bond distances ranging from 2.49–2.68 Å. In the fourth Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–Se bond distances ranging from 2.48–2.69 Å. In the fifth Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Cr–Se bond distances ranging from 2.49–2.66 Å. In the sixth Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Cr–Se bond distances ranging from 2.50–2.65 Å. In the seventh Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Cr–Se bond distances ranging from 2.49–2.65 Å. In the eighth Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner, edge, and face-sharing CrSe6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Cr–Se bond distances ranging from 2.49–2.66 Å. In the ninth Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner and edge-sharing CrSe6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–Se bond distances ranging from 2.53–2.55 Å. In the tenth Cr+3.05+ site, Cr+3.05+ is bonded to six Se2- atoms to form a mixture of corner and edge-sharing CrSe6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–Se bond distances ranging from 2.53–2.56 Å. There are sixteen inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to five Cr+3.05+ atoms to form distorted edge-sharing SeCr5 trigonal bipyramids. In the second Se2- site, Se2- is bonded to five Cr+3.05+ atoms to form distorted edge-sharing SeCr5 trigonal bipyramids. In the third Se2- site, Se2- is bonded to five Cr+3.05+ atoms to form distorted edge-sharing SeCr5 trigonal bipyramids. In the fourth Se2- site, Se2- is bonded to five Cr+3.05+ atoms to form distorted edge-sharing SeCr5 trigonal bipyramids. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Cs1+ and four Cr+3.05+ atoms. In the sixth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Cs1+ and four Cr+3.05+ atoms. In the seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Cs1+ and four Cr+3.05+ atoms. In the eighth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Cr+3.05+ atoms. In the ninth Se2- site, Se2- is bonded in a 3-coordinate geometry to two Cs1+ and three Cr+3.05+ atoms. In the tenth Se2- site, Se2- is bonded in a 3-coordinate geometry to two Cs1+ and three Cr+3.05+ atoms. In the eleventh Se2- site, Se2- is bonded in a 4-coordinate geometry to one Cs1+ and three Cr+3.05+ atoms. In the twelfth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Cs1+ and three Cr+3.05+ atoms. In the thirteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to two Cs1+ and three Cr+3.05+ atoms. In the fourteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to two Cs1+ and three Cr+3.05+ atoms. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Cs1+ and three Cr+3.05+ atoms. In the sixteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to one Cs1+ and three Cr+3.05+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr19S30 by Materials Project

Cr19S30 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Cr+3.16+ sites. In the first Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Cr–S bond distances ranging from 2.35–2.44 Å. In the second Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of Cr–S bond distances ranging from 2.37–2.41 Å. In the third Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of Cr–S bond distances ranging from 2.35–2.44 Å. In the fourth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–S bond distances ranging from 2.31–2.50 Å. In the fifth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.32–2.48 Å. In the sixth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.32–2.48 Å. In the seventh Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of Cr–S bond distances ranging from 2.35–2.45 Å. In the eighth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–S bond distances ranging from 2.37–2.43 Å. In the ninth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of face and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of Cr–S bond distances ranging from 2.40–2.44 Å. In the tenth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of face and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of Cr–S bond distances ranging from 2.40–2.44 Å. There are fifteen inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr19S30 by Materials Project

Cr19S30 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Cr+3.16+ sites. In the first Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.31–2.49 Å. In the second Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cr–S bond distances ranging from 2.33–2.45 Å. In the third Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Cr–S bond distances ranging from 2.36–2.43 Å. In the fourth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the fifth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Cr–S bond distances ranging from 2.32–2.49 Å. In the sixth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cr–S bond distances ranging from 2.38–2.41 Å. In the seventh Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Cr–S bond distances ranging from 2.34–2.43 Å. In the eighth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Cr–S bond distances ranging from 2.35–2.43 Å. In the ninth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Cr–S bond distances ranging from 2.40–2.44 Å. In the tenth Cr+3.16+ site, Cr+3.16+ is bonded to six S2- atoms to form a mixture of corner and face-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Cr–S bond distances ranging from 2.39–2.44 Å. There are fifteen inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.16+ atoms. In the fifteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.16+ atoms.

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 Cr3Co2 by Materials Project

Cr3Co2 crystallizes in the orthorhombic Cmm2 space group. The structure is three-dimensional. there are seven inequivalent Cr sites. In the first Cr site, Cr is bonded in a 10-coordinate geometry to eight Cr and seven Co atoms. There are a spread of Cr–Cr bond distances ranging from 2.39–2.89 Å. There are a spread of Cr–Co bond distances ranging from 2.57–2.84 Å. In the second Cr site, Cr is bonded in a 11-coordinate geometry to seven Cr and eight Co atoms. There are a spread of Cr–Cr bond distances ranging from 2.37–2.81 Å. There are a spread of Cr–Co bond distances ranging from 2.56–2.84 Å. In the third Cr site, Cr is bonded in a 7-coordinate geometry to six Cr and five Co atoms. There are a spread of Cr–Cr bond distances ranging from 2.29–2.81 Å. There are a spread of Cr–Co bond distances ranging from 2.41–2.67 Å. In the fourth Cr site, Cr is bonded in a 4-coordinate geometry to nine Cr and five Co atoms. There are a spread of Cr–Cr bond distances ranging from 2.33–2.74 Å. There are a spread of Cr–Co bond distances ranging from 2.42–2.70 Å. In the fifth Cr site, Cr is bonded in a 7-coordinate geometry to seven Cr and five Co atoms. Both Cr–Cr bond lengths are 2.25 Å. There are a spread of Cr–Co bond distances ranging from 2.49–2.53 Å. In the sixth Cr site, Cr is bonded in a 2-coordinate geometry to five Cr and seven Co atoms. There are a spread of Cr–Co bond distances ranging from 2.24–2.51 Å. In the seventh Cr site, Cr is bonded in a 7-coordinate geometry to seven Cr and five Co atoms. There are a spread of Cr–Co bond distances ranging from 2.48–2.53 Å. There are five inequivalent Co sites. In the first Co site, Co is bonded to nine Cr and three Co atoms to form a mixture of distorted edge, face, and corner-sharing CoCr9Co3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.32–2.51 Å. In the second Co site, Co is bonded to nine Cr and three Co atoms to form a mixture of distorted edge, face, and corner-sharing CoCr9Co3 cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.34–2.48 Å. In the third Co site, Co is bonded to six Cr and six Co atoms to form distorted CoCr6Co6 cuboctahedra that share corners with sixteen CoCr9Co3 cuboctahedra, edges with two equivalent CoCr6Co6 cuboctahedra, and faces with four equivalent CoCr9Co3 cuboctahedra. Both Co–Co bond lengths are 2.55 Å. In the fourth Co site, Co is bonded to eight Cr and four equivalent Co atoms to form CoCr8Co4 cuboctahedra that share corners with sixteen CoCr9Co3 cuboctahedra, edges with two equivalent CoCr8Co4 cuboctahedra, and faces with four equivalent CoCr9Co3 cuboctahedra. In the fifth Co site, Co is bonded in a distorted linear geometry to nine Cr and five Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nd4Cr3Fe25B2 by Materials Project

Nd4Cr3Fe25B2 is beta Uranium-derived structured and crystallizes in the orthorhombic Cmm2 space group. The structure is three-dimensional. there are four inequivalent Nd sites. In the first Nd site, Nd is bonded in a 12-coordinate geometry to two equivalent Nd, two Cr, fourteen Fe, and two equivalent B atoms. Both Nd–Nd bond lengths are 3.74 Å. There are one shorter (3.25 Å) and one longer (3.26 Å) Nd–Cr bond lengths. There are a spread of Nd–Fe bond distances ranging from 3.03–3.25 Å. Both Nd–B bond lengths are 3.30 Å. In the second Nd site, Nd is bonded in a 12-coordinate geometry to three Cr, thirteen Fe, and two equivalent B atoms. There are a spread of Nd–Cr bond distances ranging from 3.05–3.24 Å. There are a spread of Nd–Fe bond distances ranging from 3.04–3.25 Å. Both Nd–B bond lengths are 3.29 Å. In the third Nd site, Nd is bonded in a 1-coordinate geometry to three Nd, one Cr, fifteen Fe, and one B atom. The Nd–Nd bond length is 3.51 Å. The Nd–Cr bond length is 3.12 Å. There are a spread of Nd–Fe bond distances ranging from 3.06–3.38 Å. The Nd–B bond length is 2.87 Å. In the fourth Nd site, Nd is bonded in a 1-coordinate geometry to sixteen Fe and one B atom. There are a spread of Nd–Fe bond distances ranging from 3.06–3.37 Å. The Nd–B bond length is 2.87 Å. There are five inequivalent Cr sites. In the first Cr site, Cr is bonded in a 6-coordinate geometry to two Nd, one Cr, and eleven Fe atoms. The Cr–Cr bond length is 2.69 Å. There are a spread of Cr–Fe bond distances ranging from 2.59–2.78 Å. In the second Cr site, Cr is bonded in a 2-coordinate geometry to two equivalent Nd, two equivalent Cr, two equivalent Fe, and two equivalent B atoms. Both Cr–Fe bond lengths are 2.46 Å. Both Cr–B bond lengths are 2.11 Å. In the third Cr site, Cr is bonded in a 2-coordinate geometry to two equivalent Nd, four Fe, and two equivalent B atoms. There are two shorter (2.44 Å) and two longer (2.72 Å) Cr–Fe bond lengths. Both Cr–B bond lengths are 2.14 Å. In the fourth Cr site, Cr is bonded in a 2-coordinate geometry to two equivalent Nd, four Fe, and two equivalent B atoms. There are two shorter (2.45 Å) and two longer (2.72 Å) Cr–Fe bond lengths. Both Cr–B bond lengths are 2.16 Å. In the fifth Cr site, Cr is bonded in a 2-coordinate geometry to two equivalent Nd, four Fe, and two equivalent B atoms. There are two shorter (2.42 Å) and two longer (2.71 Å) Cr–Fe bond lengths. Both Cr–B bond lengths are 2.15 Å. There are seventeen inequivalent Fe sites. In the first Fe site, Fe is bonded to three Nd, three Cr, and six Fe atoms to form distorted FeNd3Cr3Fe6 cuboctahedra that share corners with fourteen FeNd3Cr2Fe7 cuboctahedra, edges with two equivalent FeNd2Fe10 cuboctahedra, and faces with eleven FeNd4Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.38–2.78 Å. In the second Fe site, Fe is bonded in a 12-coordinate geometry to three Nd, one Cr, and eight Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.38–2.75 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to three Nd, one Cr, and eight Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.37–2.76 Å. In the fourth Fe site, Fe is bonded to three Nd, two Cr, and seven Fe atoms to form distorted FeNd3Cr2Fe7 cuboctahedra that share corners with fourteen FeNd4Fe8 cuboctahedra, edges with two equivalent FeNd2Fe10 cuboctahedra, and faces with eleven FeNd3Cr2Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.36–2.63 Å. In the fifth Fe site, Fe is bonded to two Nd, one Cr, and nine Fe atoms to form distorted FeNd2CrFe9 cuboctahedra that share corners with nine FeNd3Cr2Fe7 cuboctahedra, an edgeedge with one FeNd2CrFe9 cuboctahedra, and faces with eleven FeNd3Cr2Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.63 Å. In the sixth Fe site, Fe is bonded to two Nd and ten Fe atoms to form distorted FeNd2Fe10 cuboctahedra that share corners with eight FeNd4Fe8 cuboctahedra, edges with two FeNd3Cr2Fe7 cuboctahedra, and faces with seven FeNd4Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.65 Å. In the seventh Fe site, Fe is bonded to two Nd and ten Fe atoms to form distorted FeNd2Fe10 cuboctahedra that share corners with eight FeNd2CrFe9 cuboctahedra, edges with two FeNd2Fe10 cuboctahedra, and faces with seven FeNd4Fe8 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.45–2.66 Å. In the eighth Fe site, Fe is bonded to two Nd, one Cr, and nine Fe atoms to form distorted FeNd2CrFe9 cuboctahedra that share corners with nine FeNd3Cr2Fe7 cuboctahedra, an edgeedge with one FeNd2CrFe9 cuboctahedra, and faces with eleven FeNd3Cr2Fe7 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.46–2.65 Å. In the ninth Fe site, Fe is bonded in a distorted single-bond geometry to two Nd, one Cr, six Fe, and one B atom. There are one shorter (2.56 Å) and one longer (2.74 Å) Fe–Fe bond lengths. The Fe–B bond length is 2.09 Å. In the tenth Fe site, Fe is bonded in a distorted single-bond geometry to two Nd, seven Fe, and one B atom. There are a spread of Fe–Fe bond distances ranging from 2.56–2.75 Å. The Fe–B bond length is 2.10 Å. In the eleventh Fe site, Fe is bonded in a distorted single-bond geometry to two Nd, seven Fe, and one B atom. There are a spread of Fe–Fe bond distances ranging from 2.56–2.74 Å. The Fe–B bond length is 2.10 Å. In the twelfth Fe site, Fe is bonded in a distorted single-bond geometry to two Nd, one Cr, six Fe, and one B atom. There are one shorter (2.56 Å) and one longer (2.71 Å) Fe–Fe bond lengths. The Fe–B bond length is 2.09 Å. In the thirteenth Fe site, Fe is bonded to four Nd and eight Fe atoms to form FeNd4Fe8 cuboctahedra that share corners with sixteen FeNd3Cr2Fe7 cuboctahedra and faces with ten FeNd2CrFe9 cuboctahedra. In the fourteenth Fe site, Fe is bonded to four Nd and eight Fe atoms to form a mixture of face and corner-sharing FeNd4Fe8 cuboctahedra. In the fifteenth Fe site, Fe is bonded in a 3-coordinate geometry to two Nd, one Cr, and eleven Fe atoms. In the sixteenth Fe site, Fe is bonded in a 3-coordinate geometry to two Nd, one Cr, and eleven Fe atoms. In the seventeenth Fe site, Fe is bonded in a 3-coordinate geometry to two Nd, one Cr, and eleven Fe atoms. There are two inequivalent B sites. In the first B site, B is bonded in a 6-coordinate geometry to three Nd, two Cr, and four Fe atoms. In the second B site, B is bonded in a 6-coordinate geometry to three Nd, two Cr, and four Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr2Cr30P19 by Materials Project

Zr2Cr30P19 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 12-coordinate geometry to six equivalent Cr and six equivalent P atoms. All Zr–Cr bond lengths are 2.96 Å. All Zr–P bond lengths are 2.75 Å. In the second Zr site, Zr is bonded to six equivalent Cr and six equivalent P atoms to form distorted ZrCr6P6 cuboctahedra that share edges with six equivalent CrZr2P4 tetrahedra and faces with two equivalent ZrCr6P6 cuboctahedra. All Zr–Cr bond lengths are 2.96 Å. All Zr–P bond lengths are 2.76 Å. There are ten inequivalent Cr sites. In the first Cr site, Cr is bonded to two equivalent Zr and four P atoms to form a mixture of distorted face, edge, and corner-sharing CrZr2P4 tetrahedra. There are a spread of Cr–P bond distances ranging from 2.28–2.36 Å. In the second Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.32–2.47 Å. In the third Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.34–2.46 Å. In the fourth Cr site, Cr is bonded in a 4-coordinate geometry to four P atoms. There are a spread of Cr–P bond distances ranging from 2.27–2.39 Å. In the fifth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.44–2.53 Å. In the sixth Cr site, Cr is bonded to two equivalent Zr and four P atoms to form distorted CrZr2P4 tetrahedra that share corners with four equivalent CrZr2P4 tetrahedra, edges with two equivalent ZrCr6P6 cuboctahedra, edges with two equivalent CrZr2P4 tetrahedra, and faces with two equivalent CrZr2P4 tetrahedra. There are a spread of Cr–P bond distances ranging from 2.27–2.36 Å. In the seventh Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.34–2.47 Å. In the eighth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.34–2.48 Å. In the ninth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are two shorter (2.30 Å) and three longer (2.35 Å) Cr–P bond lengths. In the tenth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.36–2.51 Å. There are seven inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to nine Cr atoms. In the second P site, P is bonded in a 8-coordinate geometry to eight Cr atoms. In the third P site, P is bonded in a 8-coordinate geometry to eight Cr atoms. In the fourth P site, P is bonded in a 8-coordinate geometry to two equivalent Zr and six Cr atoms. In the fifth P site, P is bonded in a 8-coordinate geometry to two equivalent Zr and six Cr atoms. In the sixth P site, P is bonded in a 8-coordinate geometry to eight Cr atoms. In the seventh P site, P is bonded in a 8-coordinate geometry to eight Cr atoms.

36 MATERIALS SCIENCE↗

Materials Data on U2Cr30P19 by Materials Project

U2Cr30P19 crystallizes in the hexagonal P-6 space group. The structure is three-dimensional. there are two inequivalent U sites. In the first U site, U is bonded to six equivalent Cr and six equivalent P atoms to form distorted UCr6P6 cuboctahedra that share edges with six equivalent CrU2P4 tetrahedra and faces with two equivalent UCr6P6 cuboctahedra. All U–Cr bond lengths are 2.97 Å. All U–P bond lengths are 2.83 Å. In the second U site, U is bonded to six equivalent Cr and six equivalent P atoms to form distorted UCr6P6 cuboctahedra that share edges with six equivalent CrU2P4 tetrahedra and faces with two equivalent UCr6P6 cuboctahedra. All U–Cr bond lengths are 2.98 Å. All U–P bond lengths are 2.83 Å. There are ten inequivalent Cr sites. In the first Cr site, Cr is bonded to two equivalent U and four P atoms to form distorted CrU2P4 tetrahedra that share corners with four equivalent CrU2P4 tetrahedra, edges with two equivalent UCr6P6 cuboctahedra, edges with two equivalent CrU2P4 tetrahedra, and faces with two equivalent CrU2P4 tetrahedra. There are a spread of Cr–P bond distances ranging from 2.30–2.35 Å. In the second Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.37–2.42 Å. In the third Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.36–2.41 Å. In the fourth Cr site, Cr is bonded to four P atoms to form distorted corner-sharing CrP4 tetrahedra. There are a spread of Cr–P bond distances ranging from 2.28–2.34 Å. In the fifth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.47–2.50 Å. In the sixth Cr site, Cr is bonded to two equivalent U and four P atoms to form distorted CrU2P4 tetrahedra that share corners with four equivalent CrU2P4 tetrahedra, edges with two equivalent UCr6P6 cuboctahedra, edges with two equivalent CrU2P4 tetrahedra, and faces with two equivalent CrU2P4 tetrahedra. There are a spread of Cr–P bond distances ranging from 2.30–2.35 Å. In the seventh Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.37–2.43 Å. In the eighth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.38–2.42 Å. In the ninth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Cr–P bond distances ranging from 2.34–2.39 Å. In the tenth Cr site, Cr is bonded in a 5-coordinate geometry to five P atoms. There are four shorter (2.39 Å) and one longer (2.46 Å) Cr–P bond lengths. There are seven inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to nine Cr atoms. In the second P site, P is bonded in a 8-coordinate geometry to eight Cr atoms. In the third P site, P is bonded in a 8-coordinate geometry to eight Cr atoms. In the fourth P site, P is bonded in a 8-coordinate geometry to two equivalent U and six Cr atoms. In the fifth P site, P is bonded in a 8-coordinate geometry to two equivalent U and six Cr atoms. In the sixth P site, P is bonded in a 8-coordinate geometry to eight Cr atoms. In the seventh P site, P is bonded in a 8-coordinate geometry to eight Cr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Cr11Ge8 by Materials Project

Cr11Ge8 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are nine inequivalent Cr sites. In the first Cr site, Cr is bonded in a 6-coordinate geometry to two equivalent Cr and six Ge atoms. There are one shorter (2.42 Å) and one longer (2.49 Å) Cr–Cr bond lengths. There are a spread of Cr–Ge bond distances ranging from 2.51–2.58 Å. In the second Cr site, Cr is bonded to seven Ge atoms to form CrGe7 pentagonal bipyramids that share corners with seven CrGe7 pentagonal bipyramids, edges with three equivalent CrGe6 pentagonal pyramids, faces with two equivalent CrGe7 pentagonal bipyramids, and a faceface with one CrGe6 pentagonal pyramid. There are a spread of Cr–Ge bond distances ranging from 2.63–2.71 Å. In the third Cr site, Cr is bonded to six Ge atoms to form distorted CrGe6 pentagonal pyramids that share corners with three CrGe7 pentagonal bipyramids, corners with three CrGe6 pentagonal pyramids, edges with two equivalent CrGe7 pentagonal bipyramids, an edgeedge with one CrGe6 pentagonal pyramid, and faces with three CrGe7 pentagonal bipyramids. There are a spread of Cr–Ge bond distances ranging from 2.44–2.61 Å. In the fourth Cr site, Cr is bonded to seven Ge atoms to form distorted CrGe7 pentagonal bipyramids that share corners with seven CrGe7 pentagonal bipyramids, corners with two equivalent CrGe6 pentagonal pyramids, an edgeedge with one CrGe7 pentagonal bipyramid, edges with two equivalent CrGe6 pentagonal pyramids, and faces with two equivalent CrGe6 pentagonal pyramids. There are a spread of Cr–Ge bond distances ranging from 2.52–2.71 Å. In the fifth Cr site, Cr is bonded to six Ge atoms to form distorted CrGe6 pentagonal pyramids that share corners with three equivalent CrGe7 pentagonal bipyramids, corners with three CrGe6 pentagonal pyramids, edges with three equivalent CrGe7 pentagonal bipyramids, an edgeedge with one CrGe6 pentagonal pyramid, and faces with two equivalent CrGe7 pentagonal bipyramids. There are a spread of Cr–Ge bond distances ranging from 2.43–2.59 Å. In the sixth Cr site, Cr is bonded to seven Ge atoms to form distorted CrGe7 pentagonal bipyramids that share corners with four CrGe7 pentagonal bipyramids, corners with four CrGe6 pentagonal pyramids, edges with three CrGe7 pentagonal bipyramids, faces with two equivalent CrGe7 pentagonal bipyramids, and faces with two equivalent CrGe6 pentagonal pyramids. There are a spread of Cr–Ge bond distances ranging from 2.48–2.67 Å. In the seventh Cr site, Cr is bonded in a 7-coordinate geometry to one Cr and six Ge atoms. The Cr–Cr bond length is 2.49 Å. There are a spread of Cr–Ge bond distances ranging from 2.47–2.75 Å. In the eighth Cr site, Cr is bonded in a 7-coordinate geometry to one Cr and six Ge atoms. There are a spread of Cr–Ge bond distances ranging from 2.43–2.78 Å. In the ninth Cr site, Cr is bonded in a 5-coordinate geometry to five Ge atoms. There are a spread of Cr–Ge bond distances ranging from 2.47–2.52 Å. There are seven inequivalent Ge sites. In the first Ge site, Ge is bonded in a 8-coordinate geometry to eight Cr atoms. In the second Ge site, Ge is bonded in a 9-coordinate geometry to nine Cr atoms. In the third Ge site, Ge is bonded in a 10-coordinate geometry to ten Cr atoms. In the fourth Ge site, Ge is bonded in a 9-coordinate geometry to nine Cr atoms. In the fifth Ge site, Ge is bonded in a 9-coordinate geometry to seven Cr and two equivalent Ge atoms. There are one shorter (2.44 Å) and one longer (2.48 Å) Ge–Ge bond lengths. In the sixth Ge site, Ge is bonded in a 8-coordinate geometry to eight Cr atoms. In the seventh Ge site, Ge is bonded in a 9-coordinate geometry to nine Cr atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Cr7O48 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Cr5S8 by Materials Project

Cr5S8 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Cr+3.20+ sites. In the first Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Cr–S bond distances ranging from 2.34–2.43 Å. In the second Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cr–S bond distances ranging from 2.34–2.45 Å. In the third Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Cr–S bond distances ranging from 2.38–2.41 Å. In the fourth Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of face and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Cr–S bond distances ranging from 2.41–2.43 Å. In the fifth Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Cr–S bond distances ranging from 2.30–2.49 Å. In the sixth Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Cr–S bond distances ranging from 2.31–2.49 Å. In the seventh Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CrS6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cr–S bond distances ranging from 2.38–2.41 Å. In the eighth Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of face, edge, and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–S bond distances ranging from 2.30–2.50 Å. In the ninth Cr+3.20+ site, Cr+3.20+ is bonded to six S2- atoms to form a mixture of face and corner-sharing CrS6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are two shorter (2.41 Å) and four longer (2.42 Å) Cr–S bond lengths. There are twelve inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.20+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.20+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Cr+3.20+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Cr+3.20+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li24MnCr11O36 by Materials Project

Li24Cr11MnO36 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 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 Li–O bond distances ranging from 2.07–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.21 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 four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 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 Li–O bond distances ranging from 2.04–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are four shorter (2.11 Å) and two longer (2.14 Å) Li–O bond lengths. There are seven inequivalent Cr+4.18+ sites. In the first Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the second Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.89–2.02 Å. In the third Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.90–2.03 Å. In the fourth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the fifth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There is two shorter (1.88 Å) and four longer (1.99 Å) Cr–O bond length. In the sixth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There is four shorter (1.92 Å) and two longer (2.01 Å) Cr–O bond length. In the seventh Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fifth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the seventeenth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗

Materials Data on Cr10Fe5O24 by Materials Project

Cr10Fe5O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Cr+3.30+ sites. In the first Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.95–2.09 Å. In the second Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.95–2.09 Å. In the third Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three FeO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.09 Å. In the fourth Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three FeO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.95–2.10 Å. In the fifth Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.11 Å. In the sixth Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent FeO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.09 Å. In the seventh Cr+3.30+ site, Cr+3.30+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three FeO4 tetrahedra, edges with three CrO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.09 Å. There are five inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There is two shorter (1.94 Å) and two longer (1.95 Å) Fe–O bond length. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five FeO6 octahedra and corners with seven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Fe–O bond distances ranging from 1.93–1.95 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.09 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with eleven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is one shorter (1.94 Å) and three longer (1.95 Å) Fe–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Cr+3.30+ and one Fe3+ atom to form a mixture of distorted corner and edge-sharing OCr3Fe trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two Cr+3.30+ and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Cr+3.30+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Cr+3.30+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Cr+3.30+ and one Fe3+ atom. In the sixth O2- site, O2- is bonded to three Cr+3.30+ and one Fe3+ atom to form a mixture of distorted corner and edge-sharing OCr3Fe trigonal pyramids. In the seventh O2- site, O2- is bonded to three Cr+3.30+ and one Fe3+ atom to form a mixture of distorted corner and edge-sharing OCr3Fe trigonal pyramids. In the eighth O2- site, O2- is bonded to three Cr+3.30+ and one Fe3+ atom to form distorted OCr3Fe trigonal pyramids that share corners with three OCr2Fe2 trigonal pyramids and edges with three OCr3Fe trigonal pyramids. In the ninth O2- site, O2- is bonded to three Cr+3.30+ and one Fe3+ atom to form a mixture of distorted corner and edge-sharing OCr3Fe trigonal pyramids. In the tenth O2- site, O2- is bonded to three Cr+3.30+ and one Fe3+ atom to form a mixture of distorted corner and edge-sharing OCr3Fe trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Cr+3.30+ and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Cr+3.30+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Cr+3.30+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Cr+3.30+ and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Cr+3.30+ atoms. In the sixteenth O2- site, O2- is bonded to two equivalent Cr+3.30+ and two Fe3+ atoms to form distorted OCr2Fe2 trigonal pyramids that share corners with three OCr3Fe trigonal pyramids and edges with three OCr2Fe2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two equivalent Cr+3.30+ and two Fe3+ atoms to form distorted OCr2Fe2 trigonal pyramids that share corners with three OCr3Fe trigonal pyramids and edges with three OCr2Fe2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Cr+3.30+ and three Fe3+ atoms to form distorted OCrFe3 trigonal pyramids that share corners with three OCr3Fe trigonal pyramids and edges with three OCr2Fe2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li24MnCr11O36 by Materials Project

Li24Cr11MnO36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen 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 MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.09 Å) and two longer (2.13 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 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 four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.25 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 four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.15 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. There are seven inequivalent Cr+4.18+ sites. In the first Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the second Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the third Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. In the fourth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.89–2.02 Å. In the fifth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Cr–O bond distances ranging from 1.88–2.01 Å. In the sixth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. In the seventh Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.01 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗

Materials Data on Cr8Ni50Mo17 by Materials Project

Mo17Cr8Ni50 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Mo sites. In the first Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with two CrNi10Mo2 cuboctahedra, edges with ten MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one MoNi10Mo2 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.64 Å. The Mo–Cr bond length is 2.50 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the second Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.64 Å. The Mo–Cr bond length is 2.50 Å. There are a spread of Mo–Ni bond distances ranging from 2.52–2.63 Å. In the third Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with two CrCrNi10Mo cuboctahedra, edges with ten MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. There are one shorter (2.58 Å) and one longer (2.65 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.54–2.58 Å. In the fourth Mo site, Mo is bonded to two Mo and ten Ni atoms to form distorted MoNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with five MoNi10Mo2 cuboctahedra, edges with seven CrCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Mo–Mo bond length is 2.58 Å. There are a spread of Mo–Ni bond distances ranging from 2.55–2.63 Å. In the fifth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoNi10Mo2 cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.57 Å. There are a spread of Mo–Ni bond distances ranging from 2.55–2.61 Å. In the sixth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoNi10Mo2 cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCr2Ni10 cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.57 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the seventh Mo site, Mo is bonded to two Mo and ten Ni atoms to form distorted MoNi10Mo2 cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoNi10Mo2 cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.65 Å. There are a spread of Mo–Ni bond distances ranging from 2.52–2.61 Å. In the eighth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with three CrNi10Mo2 cuboctahedra, edges with nine MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Cr bond length is 2.57 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.65 Å. In the ninth Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiNi7Mo5 cuboctahedra, edges with two CrCrNi10Mo cuboctahedra, edges with ten MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one MoNi10Mo2 cuboctahedra, faces with three CrNi10Mo2 cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.58 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.53–2.58 Å. In the tenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.64 Å. The Mo–Cr bond length is 2.57 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.65 Å. In the eleventh Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.71 Å. The Mo–Cr bond length is 2.50 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.65 Å. In the twelfth Mo site, Mo is bonded to two Mo and ten Ni atoms to form distorted MoNi10Mo2 cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with three CrCrNi10Mo cuboctahedra, edges with nine MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiNi7Mo5 cuboctahedra. The Mo–Mo bond length is 2.66 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.60 Å. In the thirteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Cr bond length is 2.51 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.64 Å. In the fourteenth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with four CrNi10Mo2 cuboctahedra, edges with eight MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.60 Å. There are a spread of Mo–Ni bond distances ranging from 2.55–2.61 Å. In the fifteenth Mo site, Mo is bonded to two Mo and ten Ni atoms to form distorted MoNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with four CrNi10Mo2 cuboctahedra, edges with eight MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Mo bond length is 2.64 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.63 Å. In the sixteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7Mo2 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Cr bond length is 2.56 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.64 Å. In the seventeenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with three CrNi10Mo2 cuboctahedra, edges with nine MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. The Mo–Cr bond length is 2.49 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. There are eight inequivalent Cr sites. In the first Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoNi10Mo2 cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Cr–Cr bond length is 2.42 Å. There are a spread of Cr–Ni bond distances ranging from 2.49–2.59 Å. In the second Cr site, Cr is bonded to two Mo and ten Ni atoms to form CrNi10Mo2 cuboctahedra that share corners with two CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with three CrCrNi10Mo cuboctahedra, edges with nine MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo4 cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.49–2.58 Å. In the third Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra that share corners with two MoNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with five CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo4 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7Mo2 cuboctahedra. The Cr–Cr bond length is 2.43 Å. There are a spread of Cr–Ni bond distances ranging from 2.49–2.61 Å. In the fourth Cr site, Cr is bonded to one Mo, one Cr, and ten Ni atoms to form CrCrNi10Mo cuboctahedra t

36 MATERIALS SCIENCE↗

Materials Data on CaLa9Ti5Cr5O30 by Materials Project

CaLa9Ti5Cr5O30 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ca2+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Ca–O bond distances ranging from 2.40–2.86 Å. There are nine inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.85 Å. In the second La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.84 Å. In the third La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.85 Å. In the fourth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.84 Å. In the fifth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.83 Å. In the sixth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.85 Å. In the seventh La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.83 Å. In the eighth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.84 Å. In the ninth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.82 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–24°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–23°. There are a spread of Ti–O bond distances ranging from 1.98–2.02 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–22°. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–23°. There are a spread of Ti–O bond distances ranging from 1.98–2.04 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–23°. There are a spread of Ti–O bond distances ranging from 1.98–2.02 Å. There are five inequivalent Cr+2.20+ sites. In the first Cr+2.20+ site, Cr+2.20+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two TiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the second Cr+2.20+ site, Cr+2.20+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–24°. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the third Cr+2.20+ site, Cr+2.20+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two TiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Cr–O bond distances ranging from 2.02–2.04 Å. In the fourth Cr+2.20+ site, Cr+2.20+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the fifth Cr+2.20+ site, Cr+2.20+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three TiO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–24°. There are three shorter (2.01 Å) and three longer (2.03 Å) Cr–O bond lengths. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two La3+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two La3+, and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two La3+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ca2+, one La3+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two La3+, one Ti4+, and one Cr+2.20+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two equivalent La3+, one Ti4+, and one Cr+2.20+ atom. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Cr+2.20+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two La3+, and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Cr+2.20+ atom. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two La3+, and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Cr7O48 by Materials Project

Li9V12Cr7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–70°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 2.00–2.31 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.01–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CrO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 60–71°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–66°. There are a spread of V–O bond distances ranging from 1.71–1.83 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–58°. There are a spread of V–O bond distances ranging from 1.68–1.83 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–62°. There are a spread of V–O bond distances ranging from 1.66–1.82 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of V–O bond distances ranging from 1.64–1.86 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.64–1.83 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–66°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 31–66°. There are a spread of V–O bond distances ranging from 1.72–1.78 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of V–O bond distances ranging from 1.65–1.83 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–57°. There are a spread of V–O bond distances ranging from 1.68–1.81 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two CrO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of V–O bond distances ranging from 1.68–1.82 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CrO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of V–O bond distances ranging from 1.66–1.82 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–65°. There are a spread of V–O bond distances ranging from 1.71–1.81 Å. There are seven inequivalent Cr+3.86+ sites. In the first Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.04 Å. In the second Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Cr–O bond distances ranging from 1.89–2.03 Å. In the third Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the fourth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the fifth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.86–2.08 Å. In the sixth Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. In the seventh Cr+3.86+ site, Cr+3.86+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.85–2.08 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one V5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cr+3.86+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V5+ and two Cr+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Cr+3.86+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one V5

36 MATERIALS SCIENCE↗