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Materials Data on K6Ba2CaU6O24 by Materials Project

K6Ba2CaU6O24 crystallizes in the orthorhombic Cmme space group. The structure is three-dimensional. there are four inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four KO12 cuboctahedra, a faceface with one CaO6 octahedra, and faces with six UO6 octahedra. There are a spread of K–O bond distances ranging from 3.06–3.16 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with six KO12 cuboctahedra, faces with two equivalent CaO6 octahedra, and faces with six UO6 octahedra. There are six shorter (3.08 Å) and six longer (3.09 Å) K–O bond lengths. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share a cornercorner with one BaO12 cuboctahedra, corners with eleven KO12 cuboctahedra, faces with six KO12 cuboctahedra, faces with two equivalent CaO6 octahedra, and faces with six UO6 octahedra. There are a spread of K–O bond distances ranging from 3.07–3.15 Å. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four KO12 cuboctahedra, corners with eight equivalent BaO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with six UO6 octahedra. There are a spread of K–O bond distances ranging from 3.08–3.16 Å. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with three equivalent BaO12 cuboctahedra, corners with nine KO12 cuboctahedra, faces with two equivalent BaO12 cuboctahedra, faces with four KO12 cuboctahedra, and faces with six UO6 octahedra. There are a spread of Ba–O bond distances ranging from 3.01–3.11 Å. Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six UO6 octahedra and faces with eight KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.36 Å) and four longer (2.39 Å) Ca–O bond lengths. There are six inequivalent U6+ sites. In the first U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with four UO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of U–O bond distances ranging from 1.91–2.19 Å. In the second U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four UO6 octahedra, and faces with eight KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of U–O bond distances ranging from 1.97–2.18 Å. In the third U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four UO6 octahedra, and faces with eight KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of U–O bond distances ranging from 1.97–2.17 Å. In the fourth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with four UO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of U–O bond distances ranging from 1.91–2.19 Å. In the fifth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with four UO6 octahedra, faces with four KO12 cuboctahedra, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of U–O bond distances ranging from 1.90–2.20 Å. In the sixth U6+ site, U6+ is bonded to six O2- atoms to form UO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four UO6 octahedra, and faces with eight KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of U–O bond distances ranging from 1.97–2.18 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to two equivalent K1+, two equivalent Ba2+, and one U6+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two U6+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Ba2+, and two equivalent U6+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four K1+, one Ca2+, and one U6+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four K1+, one Ca2+, and one U6+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two U6+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two U6+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two U6+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four K1+, one Ca2+, and one U6+ atom. In the tenth O2- site, O2- is bonded in a single-bond geometry to two equivalent K1+, two equivalent Ba2+, and one U6+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two U6+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to two equivalent K1+, two equivalent Ba2+, and two equivalent U6+ atoms. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to two K1+, two equivalent Ba2+, and one U6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two equivalent U6+ atoms. There are two shorter (3.07 Å) and two longer (3.08 Å) O–K bond lengths. Both O–U bond lengths are 2.18 Å.

36 MATERIALS SCIENCE↗

Materials Data on SrLaMn2O6 by Materials Project

SrLaMn2O6 crystallizes in the tetragonal P-42m space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, faces with five LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–2.98 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–2.93 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight equivalent MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.62–2.92 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, and faces with eight equivalent MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–2.99 Å. There are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight LaO12 cuboctahedra, a faceface with one LaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.56–2.99 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.55–3.00 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight equivalent MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.55–3.00 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.57–2.89 Å. There are three inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There is four shorter (1.96 Å) and two longer (1.97 Å) Mn–O bond length. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–16°. There is four shorter (1.96 Å) and two longer (1.97 Å) Mn–O bond length. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with four SrO12 cuboctahedra, and faces with four LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There is two shorter (1.95 Å) and four longer (1.97 Å) Mn–O bond length. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, and two Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two equivalent Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two equivalent Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, and two Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two equivalent Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two equivalent Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, and two equivalent Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two equivalent Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two equivalent Mn+3.50+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sr2+, two equivalent La3+, and two equivalent Mn+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr20AlSi19N33Cl2O19 by Materials Project

Pr20AlSi19N33O19Cl2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are fourteen inequivalent Pr sites. In the first Pr site, Pr is bonded to five N and three O atoms to form distorted PrN5O3 hexagonal bipyramids that share corners with two PrN3O4 pentagonal bipyramids, an edgeedge with one PrN5O3 hexagonal bipyramid, an edgeedge with one AlN2O2 tetrahedra, and edges with five SiN4 tetrahedra. There are a spread of Pr–N bond distances ranging from 2.53–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.58–2.62 Å. In the second Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN3O tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN3O tetrahedra. There are one shorter (2.45 Å) and two longer (2.59 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.45–2.86 Å. In the third Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.49–3.10 Å. Both Pr–O bond lengths are 2.71 Å. The Pr–Cl bond length is 3.23 Å. In the fourth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.36–2.68 Å. There are a spread of Pr–O bond distances ranging from 2.45–2.75 Å. In the fifth Pr site, Pr is bonded in a 8-coordinate geometry to three N, four O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.55–2.66 Å. There are a spread of Pr–O bond distances ranging from 2.36–2.87 Å. The Pr–Cl bond length is 3.16 Å. In the sixth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.40–3.06 Å. Both Pr–O bond lengths are 2.71 Å. In the seventh Pr site, Pr is bonded to three N and four O atoms to form distorted PrN3O4 pentagonal bipyramids that share corners with two equivalent PrN5O3 hexagonal bipyramids, a cornercorner with one SiN4 tetrahedra, an edgeedge with one AlN2O2 tetrahedra, and edges with three SiN2O2 tetrahedra. There are one shorter (2.46 Å) and two longer (2.63 Å) Pr–N bond lengths. There are a spread of Pr–O bond distances ranging from 2.39–2.71 Å. In the eighth Pr site, Pr is bonded in a 8-coordinate geometry to four N and four O atoms. There are a spread of Pr–N bond distances ranging from 2.55–2.83 Å. There are a spread of Pr–O bond distances ranging from 2.47–2.59 Å. In the ninth Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.47–2.63 Å. There are two shorter (2.46 Å) and one longer (2.68 Å) Pr–O bond lengths. In the tenth Pr site, Pr is bonded in a 9-coordinate geometry to six N, two equivalent O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.51–3.16 Å. Both Pr–O bond lengths are 2.69 Å. The Pr–Cl bond length is 3.17 Å. In the eleventh Pr site, Pr is bonded in a 7-coordinate geometry to four N and three O atoms. There are a spread of Pr–N bond distances ranging from 2.49–2.70 Å. There are a spread of Pr–O bond distances ranging from 2.41–2.48 Å. In the twelfth Pr site, Pr is bonded in a 8-coordinate geometry to five N, two O, and one Cl atom. There are a spread of Pr–N bond distances ranging from 2.37–2.78 Å. Both Pr–O bond lengths are 2.45 Å. The Pr–Cl bond length is 3.20 Å. In the thirteenth Pr site, Pr is bonded in a 6-coordinate geometry to six N and two equivalent O atoms. There are a spread of Pr–N bond distances ranging from 2.43–3.04 Å. Both Pr–O bond lengths are 2.72 Å. In the fourteenth Pr site, Pr is bonded in a 7-coordinate geometry to five N and two O atoms. There are a spread of Pr–N bond distances ranging from 2.42–2.62 Å. There are one shorter (2.64 Å) and one longer (2.79 Å) Pr–O bond lengths. Al is bonded to two equivalent N and two O atoms to form AlN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra, edges with two equivalent PrN5O3 hexagonal bipyramids, and edges with two PrN3O4 pentagonal bipyramids. Both Al–N bond lengths are 1.82 Å. There is one shorter (1.79 Å) and one longer (1.80 Å) Al–O bond length. There are eleven inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN2O2 tetrahedra, corners with two SiN3O tetrahedra, an edgeedge with one PrN5O3 hexagonal bipyramid, and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.73 Å. The Si–O bond length is 1.68 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN4 tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.67 Å. In the third Si site, Si is bonded to two equivalent N and two O atoms to form SiN2O2 tetrahedra that share corners with two equivalent SiN3O tetrahedra and edges with two PrN3O4 pentagonal bipyramids. Both Si–N bond lengths are 1.71 Å. There is one shorter (1.67 Å) and one longer (1.69 Å) Si–O bond length. In the fourth Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.69 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN3O4 pentagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.76 Å. The Si–O bond length is 1.68 Å. In the sixth Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is two shorter (1.71 Å) and one longer (1.75 Å) Si–N bond length. The Si–O bond length is 1.68 Å. In the seventh Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eighth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid and corners with two equivalent SiN3O tetrahedra. There is one shorter (1.72 Å) and two longer (1.74 Å) Si–N bond length. The Si–O bond length is 1.71 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one PrN3O4 pentagonal bipyramid, corners with two equivalent SiN4 tetrahedra, and edges with two equivalent PrN5O3 hexagonal bipyramids. There are a spread of Si–N bond distances ranging from 1.74–1.76 Å. In the tenth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.71–1.74 Å. The Si–O bond length is 1.68 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three SiN3O tetrahedra and an edgeedge with one PrN5O3 hexagonal bipyramid. There are a spread of Si–N bond distances ranging from 1.70–1.77 Å. There are twenty inequivalent N sites. In the first N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the second N site, N is bonded to two Pr and two equivalent Si atoms to form a mixture of distorted edge and corner-sharing NPr2Si2 tetrahedra. In the third N site, N is bonded in a 5-coordinate geometry to three Pr, one Al, and one Si atom. In the fourth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with three NPr2Si2 tetrahedra, corners with three OPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the fifth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share corners with two OPr3Si tetrahedra, corners with four NPr3Si tetrahedra, and a cornercorner with one NPr2Si2 trigonal pyramid. In the sixth N site, N is bonded in a distorted linear geometry to three Pr and two Si atoms. In the seventh N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with two equivalent OPr3Si tetrahedra, corners with six NPr2Si2 trigonal pyramids, and an edgeedge with one NPr2Si2 tetrahedra. In the eighth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the ninth N site, N is bonded in a 2-coordinate geometry to three Pr and two Si atoms. In the tenth N site, N is bonded to two Pr and two equivalent Si atoms to form distorted NPr2Si2 tetrahedra that share corners with six NPr2Si2 trigonal pyramids, an edgeedge with one NPr2Si2 tetrahedra, and edges with two equivalent OPr3Si tetrahedra. In the eleventh N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent NPr3Si2 trigonal bipyramids, a cornercorner with one OPr3Al trigonal pyramid, corners with two equivalent NPr2Si2 trigonal pyramids, edges with four OPr3Si tetrahedra, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one NPr3Si trigonal pyramid. In the twelfth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, a cornercorner with one NPr3Si trigonal pyramid, an edgeedge with one NPr4Si square pyramid, edges with two OPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, an edgeedge with one NPr2Si2 trigonal pyramid, and an edgeedge with one OPr3Si trigonal pyramid. In the thirteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, an edgeedge with one OPr3Si tetrahedra, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fourteenth N site, N is bonded to two Pr and two Si atoms to form distorted NPr2Si2 trigonal pyramids that share a cornercorner with one NPr4Si square pyramid, corners with three OPr3Si tetrahedra, corners with four NPr2Si2 tetrahedra, a cornercorner with one NPr2Si2 trigonal pyramid, and an edgeedge with one NPr3Si2 trigonal bipyramid. In the fifteenth N site, N is bonded to three Pr and two Si atoms to form distorted NPr3Si2 trigonal bipyramids that share a cornercorner with one NPr4Si square pyramid, a cornercorner with one NPr3Si tetrahedra, corners with two OPr3Si tetrahedra, corners with two OPr3Al trigonal pyramids, an edgeedge with one NPr4Si square pyramid, an edgeedge with one NPr3Si tetrahedra, an edgeedge with one NPr3Si2 trigonal bipyramid, and edges with two NPr3Si trigonal pyramids. In the sixteenth N site, N is bonded to three Pr and one Si atom to form distorted NPr3Si trigonal pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, an edgeedge with one NPr4Si square pyramid, edges with two equivalent NPr3Si2 trigonal bipyramids, and an edgeedge with one OPr3Al trigonal pyramid. In the seventeenth N site, N is bonded to four Pr and one Si atom to form distorted NPr4Si square pyramids that share corners with two equivalent OPr3Si tetrahedra, corners with two equivalent NPr3Si2 trigonal bipyramids, corners with two equivalent NPr2Si2 trigonal pyramids, edges with two equivalent NPr3Si tetrahedra, edges with two equivalent OPr3Si tetrahedra, edges with two

36 MATERIALS SCIENCE↗

Materials Data on Sr3Li4La5O12 by Materials Project

Li4Sr3La5O12 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LaO7 pentagonal bipyramids, corners with two equivalent LiO4 tetrahedra, an edgeedge with one LaO7 pentagonal bipyramid, and edges with two equivalent SrO7 pentagonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LaO7 pentagonal bipyramid, corners with two equivalent LiO4 tetrahedra, edges with two equivalent SrO7 pentagonal bipyramids, and edges with two equivalent LaO7 pentagonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LaO7 pentagonal bipyramids, corners with two equivalent LiO4 tetrahedra, edges with two equivalent SrO7 pentagonal bipyramids, and edges with three LaO7 pentagonal bipyramids. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LaO7 pentagonal bipyramid, corners with two equivalent LiO4 tetrahedra, edges with two equivalent SrO7 pentagonal bipyramids, and edges with four LaO7 pentagonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. There are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one LaO7 pentagonal bipyramid, edges with two equivalent LaO7 pentagonal bipyramids, edges with four LiO4 tetrahedra, and faces with two equivalent SrO7 pentagonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.57–2.73 Å. In the second Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.82 Å. In the third Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share corners with five LaO7 pentagonal bipyramids, edges with four LaO7 pentagonal bipyramids, edges with four LiO4 tetrahedra, and faces with two equivalent SrO7 pentagonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.52–2.80 Å. There are five inequivalent La+2.80+ sites. In the first La+2.80+ site, La+2.80+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share a cornercorner with one SrO7 pentagonal bipyramid, corners with two equivalent LaO7 pentagonal bipyramids, corners with four LiO4 tetrahedra, edges with two equivalent SrO7 pentagonal bipyramids, edges with three LaO7 pentagonal bipyramids, and edges with three LiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.49–2.67 Å. In the second La+2.80+ site, La+2.80+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.74 Å. In the third La+2.80+ site, La+2.80+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share a cornercorner with one SrO7 pentagonal bipyramid, corners with four LiO4 tetrahedra, edges with two equivalent SrO7 pentagonal bipyramids, edges with four LaO7 pentagonal bipyramids, and edges with three LiO4 tetrahedra. There are a spread of La–O bond distances ranging from 2.42–2.63 Å. In the fourth La+2.80+ site, La+2.80+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share corners with two equivalent LaO7 pentagonal bipyramids, corners with four equivalent SrO7 pentagonal bipyramids, edges with two equivalent SrO7 pentagonal bipyramids, edges with three LaO7 pentagonal bipyramids, edges with four LiO4 tetrahedra, and faces with two equivalent LaO7 pentagonal bipyramids. There are a spread of La–O bond distances ranging from 2.51–2.70 Å. In the fifth La+2.80+ site, La+2.80+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.69 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two equivalent Sr2+, and three La+2.80+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Li1+, one Sr2+, and three La+2.80+ atoms. In the third O2- site, O2- is bonded to one Li1+, four Sr2+, and one La+2.80+ atom to form a mixture of distorted corner and edge-sharing OSr4LiLa octahedra. The corner-sharing octahedra tilt angles range from 18–22°. In the fourth O2- site, O2- is bonded to one Li1+, four Sr2+, and one La+2.80+ atom to form a mixture of distorted corner and edge-sharing OSr4LiLa octahedra. The corner-sharing octahedra tilt angles range from 18–22°. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Li1+, one Sr2+, and three La+2.80+ atoms. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two equivalent Sr2+, and three La+2.80+ atoms. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two equivalent Sr2+, and three La+2.80+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Li1+ and four La+2.80+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, two equivalent Sr2+, and three La+2.80+ atoms to form a mixture of distorted corner and edge-sharing OSr2LiLa3 octahedra. The corner-sharing octahedra tilt angles range from 17–22°. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Sr2+, and three La+2.80+ atoms to form a mixture of distorted corner and edge-sharing OSr2LiLa3 octahedra. The corner-sharing octahedra tilt angles range from 17–22°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Li1+, one Sr2+, and three La+2.80+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and five La+2.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li10Fe5Co3O16 by Materials Project

Li10Fe5Co3O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.48 Å. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.50 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.34 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three equivalent LiO6 octahedra, corners with five FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 15–58°. There are a spread of Li–O bond distances ranging from 1.86–1.89 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 13–62°. There are a spread of Li–O bond distances ranging from 1.87–1.90 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.48 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.40 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.13–2.26 Å. In the tenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.40 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 two equivalent CoO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two CoO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–50°. There are a spread of Fe–O bond distances ranging from 2.04–2.24 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four CoO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, edges with two FeO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–51°. There are a spread of Fe–O bond distances ranging from 2.04–2.14 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Fe–O bond distances ranging from 2.04–2.09 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 2.04–2.12 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 2.05–2.11 Å. There are three inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Co–O bond distances ranging from 2.10–2.18 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 2.10–2.16 Å. In the third Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Co–O bond distances ranging from 1.98–2.16 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Co+2.33+ atom. In the second O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co+2.33+ atoms to form OLi3FeCo2 octahedra that share edges with four OLi3Fe2Co octahedra and edges with two OLi3FeCo2 pentagonal pyramids. In the third O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co+2.33+ atoms to form distorted edge-sharing OLi3FeCo2 pentagonal pyramids. In the fourth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.33+ atom to form edge-sharing OLi3Fe2Co octahedra. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Co+2.33+ atom. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Co+2.33+ atom. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Fe3+, and two Co+2.33+ atoms. In the eighth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.33+ atom to form edge-sharing OLi3Fe2Co octahedra. In the ninth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Fe3+, and two Co+2.33+ atoms. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Fe3+ atoms. In the eleventh O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.33+ atom to form OLi3Fe2Co octahedra that share edges with four OLi3Fe3 octahedra and edges with two OLi3FeCo2 pentagonal pyramids. In the twelfth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.33+ atom to form OLi3Fe2Co octahedra that share edges with four OLi3Fe3 octahedra and edges with two OLi3FeCo2 pentagonal pyramids. In the thirteenth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.33+ atom to form distorted edge-sharing OLi3Fe2Co pentagonal pyramids. In the fourteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Co+2.33+ atom. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form OLi3Fe3 octahedra that share edges with four OLi3Fe2Co octahedra and edges with two OLi3FeCo2 pentagonal pyramids. In the sixteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Co+2.33+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li10Mn3V5O16 by Materials Project

Li10V5Mn3O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.50 Å. In the second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.52 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent VO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent VO6 octahedra, edges with four MnO6 octahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.13–2.31 Å. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.58 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.34 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four VO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 12–66°. There are a spread of Li–O bond distances ranging from 1.89–1.92 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent VO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent MnO6 octahedra, edges with four VO6 octahedra, and a faceface with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.15–2.31 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.53 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three equivalent LiO6 octahedra, corners with five VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–62°. There are a spread of Li–O bond distances ranging from 1.88–1.92 Å. In the tenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.59 Å. There are five inequivalent V+3.20+ sites. In the first V+3.20+ site, V+3.20+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of V–O bond distances ranging from 2.04–2.15 Å. In the second V+3.20+ site, V+3.20+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two VO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–53°. There are a spread of V–O bond distances ranging from 2.06–2.17 Å. In the third V+3.20+ site, V+3.20+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two MnO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–54°. There are a spread of V–O bond distances ranging from 2.03–2.18 Å. In the fourth V+3.20+ site, V+3.20+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of V–O bond distances ranging from 2.05–2.14 Å. In the fifth V+3.20+ site, V+3.20+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of V–O bond distances ranging from 2.03–2.12 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–O bond distances ranging from 2.16–2.24 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Mn–O bond distances ranging from 2.01–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two V+3.20+, and one Mn2+ atom. In the second O2- site, O2- is bonded to three Li1+ and three V+3.20+ atoms to form edge-sharing OLi3V3 octahedra. In the third O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two V+3.20+, and one Mn2+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+, one V+3.20+, and two Mn2+ atoms. In the fifth O2- site, O2- is bonded to three Li1+, two V+3.20+, and one Mn2+ atom to form distorted edge-sharing OLi3MnV2 pentagonal pyramids. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two V+3.20+, and one Mn2+ atom. In the seventh O2- site, O2- is bonded to three Li1+, two V+3.20+, and one Mn2+ atom to form OLi3MnV2 octahedra that share edges with four OLi3V3 octahedra and edges with two OLi3MnV2 pentagonal pyramids. In the eighth O2- site, O2- is bonded to three Li1+, two V+3.20+, and one Mn2+ atom to form OLi3MnV2 octahedra that share edges with four OLi3V3 octahedra and edges with two OLi3MnV2 pentagonal pyramids. In the ninth O2- site, O2- is bonded to three Li1+, two V+3.20+, and one Mn2+ atom to form OLi3MnV2 octahedra that share edges with four OLi3Mn2V octahedra and edges with two OLi3MnV2 pentagonal pyramids. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three V+3.20+ atoms. In the eleventh O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one V+3.20+, and two Mn2+ atoms. In the twelfth O2- site, O2- is bonded to three Li1+, two V+3.20+, and one Mn2+ atom to form OLi3MnV2 octahedra that share edges with four OLi3Mn2V octahedra and edges with two OLi3MnV2 pentagonal pyramids. In the thirteenth O2- site, O2- is bonded to three Li1+, one V+3.20+, and two Mn2+ atoms to form distorted edge-sharing OLi3Mn2V pentagonal pyramids. In the fourteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two V+3.20+, and one Mn2+ atom. In the fifteenth O2- site, O2- is bonded to three Li1+, one V+3.20+, and two Mn2+ atoms to form edge-sharing OLi3Mn2V octahedra. In the sixteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two V+3.20+, and one Mn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn3CrO12 by Materials Project

Li8CrMn3O12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Li–O bond distances ranging from 2.06–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Li–O bond distances ranging from 2.04–2.13 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.10–2.18 Å. Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Cr–O bond distances ranging from 1.88–2.02 Å. There are three inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr5+, and one Mn+3.67+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr5+, and one Mn+3.67+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr5+, and one Mn+3.67+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8MnCr3O12 by Materials Project

Li8Cr3MnO12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Li–O bond distances ranging from 2.04–2.17 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.05–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. There are three inequivalent Cr+4.67+ sites. In the first Cr+4.67+ site, Cr+4.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of Cr–O bond distances ranging from 1.90–2.06 Å. In the second Cr+4.67+ site, Cr+4.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the third Cr+4.67+ site, Cr+4.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr+4.67+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr+4.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr+4.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+4.67+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+4.67+, and one Mn2+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr+4.67+, and one Mn2+ atom to form a mixture of distorted edge and corner-sharing OLi4MnCr pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn(FeO4)3 by Materials Project

Li8Mn(FeO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent FeO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–50°. There are a spread of Li–O bond distances ranging from 2.08–2.12 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of Fe–O bond distances ranging from 1.94–2.00 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn7+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLi4MnFe pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn7+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Fe3+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Fe3+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Mn7+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Fe3+ atoms to form a mixture of distorted edge and corner-sharing OLi4Fe2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Cr3TeO12 by Materials Project

Li8Cr3TeO12 is beta Sn-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are four shorter (2.09 Å) and two longer (2.16 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TeO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent TeO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent TeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Li–O bond distances ranging from 2.01–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one TeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one TeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent TeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–50°. There are a spread of Li–O bond distances ranging from 2.06–2.16 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. There are three inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Cr–O bond distances ranging from 1.95–2.00 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Cr–O bond distances ranging from 1.98–2.15 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent TeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of Cr–O bond distances ranging from 1.98–2.10 Å. Te4+ is bonded to six O2- atoms to form TeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–49°. There are a spread of Te–O bond distances ranging from 1.94–1.98 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr4+, and one Te4+ atom to form a mixture of distorted edge and corner-sharing OLi4CrTe pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr4+, and one Te4+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr4+, and one Te4+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8TiMn3O12 by Materials Project

Li8TiMn3O12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Li–O bond distances ranging from 2.05–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three MnO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent TiO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Li–O bond distances ranging from 2.13–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent MnO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Li–O bond distances ranging from 2.03–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent TiO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. There are three inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There is four shorter (1.94 Å) and two longer (1.96 Å) Mn–O bond length. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Ti4+, and one Mn4+ atom to form a mixture of distorted edge and corner-sharing OLi4TiMn pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Mn2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Ti4+, and one Mn4+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Mn4+ atom to form a mixture of distorted edge and corner-sharing OLi4TiMn pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Cr(FeO4)3 by Materials Project

Li8Cr(FeO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent FeO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are four shorter (2.09 Å) and two longer (2.12 Å) Li–O bond lengths. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent FeO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Li–O bond distances ranging from 2.09–2.13 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three FeO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with four equivalent FeO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Li–O bond distances ranging from 2.08–2.11 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. Cr is bonded to six O atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Cr–O bond distances ranging from 1.93–1.96 Å. There are three inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Fe–O bond distances ranging from 1.93–2.04 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. There are six inequivalent O sites. In the first O site, O is bonded to four Li, one Cr, and one Fe atom to form a mixture of distorted corner and edge-sharing OLi4CrFe pentagonal pyramids. In the second O site, O is bonded to four Li and two Fe atoms to form a mixture of distorted corner and edge-sharing OLi4Fe2 pentagonal pyramids. In the third O site, O is bonded in a 6-coordinate geometry to four Li, one Cr, and one Fe atom. In the fourth O site, O is bonded to four Li, one Cr, and one Fe atom to form distorted OLi4CrFe pentagonal pyramids that share corners with six OLi4Fe2 pentagonal pyramids and edges with eight OLi4CrFe pentagonal pyramids. In the fifth O site, O is bonded to four Li and two Fe atoms to form distorted OLi4Fe2 pentagonal pyramids that share corners with six OLi4Fe2 pentagonal pyramids and edges with twelve OLi4CrFe pentagonal pyramids. In the sixth O site, O is bonded to four Li and two Fe atoms to form a mixture of distorted corner and edge-sharing OLi4Fe2 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four equivalent VO6 octahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are two shorter (2.03 Å) and four longer (2.19 Å) Li–O bond lengths. 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 two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–64°. There are a spread of Li–O bond distances ranging from 2.03–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four equivalent VO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are four shorter (2.11 Å) and two longer (2.16 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedral tilt angles are 17°. There are a spread of Li–O bond distances ranging from 2.08–2.13 Å. There are three inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–64°. There are a spread of V–O bond distances ranging from 1.79–2.17 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–56°. There are a spread of V–O bond distances ranging from 1.81–2.05 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of V–O bond distances ranging from 1.93–2.12 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.49 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 tetrahedra that share corners with three OLi3V2 square pyramids, corners with three equivalent OLi2V2 tetrahedra, and an edgeedge with one OLi2V3 square pyramid. In the second O2- site, O2- is bonded to three Li1+ and two equivalent V+3.67+ atoms to form distorted OLi3V2 square pyramids that share corners with two equivalent OLi3V2 square pyramids, a cornercorner with one OLi2V2 tetrahedra, and edges with three equivalent OLi3V2 square pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.67+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLi2V2 tetrahedra, edges with three equivalent OLi2V3 square pyramids, and an edgeedge with one OLi2V2 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Cr2Co3O16 by Materials Project

Li4Ti3Cr2Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four TiO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–2.06 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four CoO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Li–O bond distances ranging from 1.95–1.98 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with four equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. There are two inequivalent Cr+4.50+ sites. In the first Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent CoO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the second Cr+4.50+ site, Cr+4.50+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–O bond distances ranging from 2.02–2.10 Å. There are two inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Co–O bond distances ranging from 1.91–2.04 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Co–O bond distances ranging from 1.95–2.08 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr+4.50+ atom to form distorted OLiTi2Cr tetrahedra that share corners with four OLiTi2Co tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, edges with two equivalent OLiTiCrCo tetrahedra, and an edgeedge with one OLiTi2Co trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Co+2.33+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with four OLiCrCo2 tetrahedra and edges with three OLiTi2Cr tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Co+2.33+ atom to form distorted OLiTi2Co tetrahedra that share corners with six OLiTi2Cr tetrahedra and corners with four OLiCrCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+2.33+ atoms to form a mixture of distorted edge and corner-sharing OLiTiCo2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom to form distorted OLiTiCrCo tetrahedra that share corners with four OLiTi2Cr tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, edges with two OLiTi2Cr tetrahedra, and an edgeedge with one OLiTi2Co trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr+4.50+ atom. In the eighth O2- site, O2- is bonded to one Li1+, one Cr+4.50+, and two equivalent Co+2.33+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with six OLiCrCo2 tetrahedra and an edgeedge with one OLiTiCo2 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Co+2.33+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.50+, and one Co+2.33+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Cr+4.50+, and two equivalent Co+2.33+ atoms to form distorted OLiCrCo2 tetrahedra that share corners with two equivalent OLiTiCo2 tetrahedra and corners with three OLiCrCo2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Mn3Cr2O16 by Materials Project

Li4Ti3Cr2Mn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four TiO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one TiO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 62–66°. There are a spread of Li–O bond distances ranging from 1.79–2.00 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four MnO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are three shorter (1.98 Å) and one longer (2.03 Å) Li–O bond lengths. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are two inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Cr–O bond distances ranging from 2.02–2.10 Å. In the second Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one TiO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Cr–O bond distances ranging from 2.00–2.13 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with four equivalent TiO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. There are two shorter (1.92 Å) and four longer (2.11 Å) Mn–O bond lengths. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Mn–O bond distances ranging from 1.97–2.06 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Mn–O bond distances ranging from 1.96–2.05 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr5+ atom to form distorted OLiTi2Cr tetrahedra that share corners with two equivalent OLiTi2Mn tetrahedra, corners with three OLiTiMnCr trigonal pyramids, and edges with three OLiTiMnCr trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn2+ atom to form distorted OLiTi2Mn trigonal pyramids that share corners with five OLiTi2Mn tetrahedra, an edgeedge with one OLiTi2Cr tetrahedra, and edges with two OLiTiMnCr trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn2+ atom to form distorted OLiTi2Mn tetrahedra that share corners with two equivalent OLiTi2Cr tetrahedra and corners with seven OLiTi2Mn trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn2+ atoms to form distorted OLiTiMn2 tetrahedra that share corners with four OLiTiMnCr tetrahedra and corners with three equivalent OLiTiMn2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom to form distorted OLiTiMnCr trigonal pyramids that share corners with three OLiTi2Cr tetrahedra, corners with two OLiTiMnCr trigonal pyramids, an edgeedge with one OLiTi2Cr tetrahedra, and edges with two OLiTiMnCr trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom to form distorted OLiTiMnCr trigonal pyramids that share corners with three OLiTi2Cr tetrahedra, corners with two OLiTiMnCr trigonal pyramids, an edgeedge with one OLiTi2Cr tetrahedra, and edges with two OLiTiMnCr trigonal pyramids. The O–Ti bond length is 1.95 Å. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr5+, and two Mn2+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom to form distorted OLiTiMnCr tetrahedra that share corners with three OLiTiMn2 tetrahedra, a cornercorner with one OLiTi2Mn trigonal pyramid, an edgeedge with one OLiTiMnCr tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom to form distorted OLiTiMnCr tetrahedra that share corners with three OLiTiMn2 tetrahedra, a cornercorner with one OLiTi2Mn trigonal pyramid, an edgeedge with one OLiTiMnCr tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn2+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with four OLiTi2Cr tetrahedra, corners with two OLiTiMnCr trigonal pyramids, and edges with two OLiTiMnCr tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr5+, and two Mn2+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr5+, and one Mn2+ atom. The O–Ti bond length is 1.94 Å.

36 MATERIALS SCIENCE↗

Materials Data on Li4Cr5Fe3O16 by Materials Project

Li4Cr5Fe3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five FeO6 octahedra and corners with seven CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.96–1.99 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.77–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one FeO6 octahedra, corners with five CrO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 60–65°. There are a spread of Li–O bond distances ranging from 1.77–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO6 octahedra and corners with eight CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There is three shorter (1.97 Å) and one longer (2.02 Å) Li–O bond length. There are four inequivalent Cr+3.80+ sites. In the first Cr+3.80+ site, Cr+3.80+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent FeO6 octahedra, and edges with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–O bond distances ranging from 1.90–1.98 Å. In the second Cr+3.80+ site, Cr+3.80+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Cr–O bond distances ranging from 2.00–2.06 Å. In the third Cr+3.80+ site, Cr+3.80+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with four equivalent FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of Cr–O bond distances ranging from 1.91–1.98 Å. In the fourth Cr+3.80+ site, Cr+3.80+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Cr–O bond distances ranging from 2.01–2.14 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with five CrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Fe–O bond distances ranging from 1.96–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with three CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Fe–O bond distances ranging from 1.96–2.10 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.80+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+ and three Cr+3.80+ atoms to form distorted OLiCr3 tetrahedra that share corners with two equivalent OLiCr2Fe tetrahedra, corners with five OLiCr3 trigonal pyramids, and edges with three OLiCr2Fe trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+, two equivalent Cr+3.80+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with three equivalent OLiCr2Fe tetrahedra, corners with four OLiCr3 trigonal pyramids, an edgeedge with one OLiCr3 tetrahedra, and edges with two equivalent OLiCr2Fe trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Cr+3.80+, and one Fe3+ atom to form distorted OLiCr2Fe tetrahedra that share corners with two equivalent OLiCr3 tetrahedra, corners with seven OLiCr2Fe trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, one Cr+3.80+, and two equivalent Fe3+ atoms to form distorted corner-sharing OLiCrFe2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Cr+3.80+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with three OLiCr3 tetrahedra, corners with three OLiCr3 trigonal pyramids, an edgeedge with one OLiCr3 tetrahedra, and edges with two OLiCr2Fe trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and three Cr+3.80+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with three OLiCr3 tetrahedra, corners with six OLiCr2Fe trigonal pyramids, and an edgeedge with one OLiCr2Fe tetrahedra. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+3.80+, and two equivalent Fe3+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, two Cr+3.80+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with two equivalent OLiCrFe2 tetrahedra, corners with three OLiCr3 trigonal pyramids, and edges with two OLiCr2Fe trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr+3.80+, and two equivalent Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with four OLiCr3 tetrahedra, corners with two equivalent OLiCr2Fe trigonal pyramids, and edges with two equivalent OLiCr2Fe trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.80+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+3.80+, and two equivalent Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y2O3 by Materials Project

Y2O3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are six inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.60 Å. In the second Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share corners with three YO6 octahedra, edges with two equivalent YO6 octahedra, and edges with four equivalent YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.29–2.47 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with four YO6 octahedra, corners with two equivalent YO7 pentagonal bipyramids, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 14–70°. There are a spread of Y–O bond distances ranging from 2.22–2.46 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with four YO6 octahedra, edges with three YO6 octahedra, and edges with two equivalent YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 14–64°. There are a spread of Y–O bond distances ranging from 2.25–2.45 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with four YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, and edges with four equivalent YO6 octahedra. The corner-sharing octahedra tilt angles range from 64–70°. There are a spread of Y–O bond distances ranging from 2.24–2.44 Å. In the sixth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.24–2.54 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to five Y3+ atoms to form distorted OY5 square pyramids that share corners with nine OY4 tetrahedra, a cornercorner with one OY4 trigonal pyramid, edges with four equivalent OY5 square pyramids, edges with four OY4 tetrahedra, and edges with two equivalent OY4 trigonal pyramids. In the second O2- site, O2- is bonded to four Y3+ atoms to form OY4 tetrahedra that share corners with four OY5 square pyramids, corners with six OY4 tetrahedra, corners with three equivalent OY4 trigonal pyramids, edges with three equivalent OY5 square pyramids, and edges with two equivalent OY4 tetrahedra. In the third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 tetrahedra that share corners with six OY5 square pyramids, corners with five OY4 tetrahedra, a cornercorner with one OY5 trigonal bipyramid, a cornercorner with one OY4 trigonal pyramid, an edgeedge with one OY5 square pyramid, edges with two equivalent OY4 tetrahedra, and edges with two equivalent OY4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with three OY5 square pyramids, corners with five OY4 tetrahedra, corners with two equivalent OY5 trigonal bipyramids, corners with two equivalent OY4 trigonal pyramids, edges with three OY5 square pyramids, and edges with two equivalent OY4 tetrahedra. In the fifth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 tetrahedra that share corners with five OY5 square pyramids, corners with four OY4 tetrahedra, corners with two equivalent OY5 trigonal bipyramids, corners with four OY4 trigonal pyramids, an edgeedge with one OY5 square pyramid, and edges with two equivalent OY4 tetrahedra. In the sixth O2- site, O2- is bonded to five Y3+ atoms to form OY5 square pyramids that share corners with seven OY4 tetrahedra, corners with three OY4 trigonal pyramids, edges with two equivalent OY5 square pyramids, edges with three OY4 tetrahedra, edges with two equivalent OY5 trigonal bipyramids, and an edgeedge with one OY4 trigonal pyramid. In the seventh O2- site, O2- is bonded to four Y3+ atoms to form OY4 tetrahedra that share a cornercorner with one OY5 square pyramid, corners with five OY4 tetrahedra, corners with four equivalent OY5 trigonal bipyramids, corners with three equivalent OY4 trigonal pyramids, edges with two equivalent OY5 square pyramids, edges with two equivalent OY4 tetrahedra, and an edgeedge with one OY5 trigonal bipyramid. In the eighth O2- site, O2- is bonded to five Y3+ atoms to form distorted OY5 trigonal bipyramids that share corners with seven OY4 tetrahedra, corners with four OY4 trigonal pyramids, edges with two equivalent OY5 square pyramids, an edgeedge with one OY4 tetrahedra, edges with two equivalent OY5 trigonal bipyramids, and edges with three equivalent OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Y3+ atoms to form OY4 trigonal pyramids that share a cornercorner with one OY5 square pyramid, corners with six OY4 tetrahedra, corners with two equivalent OY5 trigonal bipyramids, corners with two equivalent OY4 trigonal pyramids, edges with three equivalent OY5 trigonal bipyramids, and edges with two equivalent OY4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe2Cu3O16 by Materials Project

Li4Mn3Fe2Cu3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four CuO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Li–O bond distances ranging from 1.78–1.91 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.79–1.95 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four MnO6 octahedra, and corners with five CuO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.93 Å) and one longer (2.02 Å) Li–O bond length. There are two inequivalent Mn+5.33+ sites. In the first Mn+5.33+ site, Mn+5.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with four equivalent CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. In the second Mn+5.33+ site, Mn+5.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four equivalent MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CuO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Fe–O bond distances ranging from 1.98–2.16 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CuO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cu–O bond distances ranging from 1.92–2.10 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with four equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cu–O bond distances ranging from 1.96–2.03 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+5.33+, one Fe3+, and one Cu2+ atom. In the second O2- site, O2- is bonded to one Li1+, one Fe3+, and two equivalent Cu2+ atoms to form distorted corner-sharing OLiFeCu2 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+5.33+, and two equivalent Cu2+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+5.33+, and two equivalent Cu2+ atoms to form distorted corner-sharing OLiMnCu2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Mn+5.33+, and one Cu2+ atom to form distorted corner-sharing OLiMn2Cu tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+5.33+, one Fe3+, and one Cu2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, and two equivalent Cu2+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Mn+5.33+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, one Mn+5.33+, one Fe3+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiMnFeCu tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Mn+5.33+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+5.33+, one Fe3+, and one Cu2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Mn+5.33+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗