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DOE OSTI2020

Materials Data on Mg30AlVO32 by Materials Project

Mg30VAlO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.26 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the third Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.15 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.14 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one VO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are four shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one VO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. V is bonded to six O atoms to form VO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.17 Å) and two longer (2.29 Å) V–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.98 Å) and four longer (2.01 Å) Al–O bond length. There are sixteen inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.14 Å) and one longer (2.26 Å) O–Mg bond lengths. In the second O site, O is bonded to five Mg and one V atom to form OMg5V octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. Both O–Mg bond lengths are 2.14 Å. In the fourth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.13 Å. In the fifth O site, O is bonded to five Mg and one V atom to form OMg5V octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.13 Å) and two longer (2.15 Å) O–Mg bond lengths. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All O–Mg bond lengths are 2.13 Å. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 1°. In the ninth O site, O is bonded to four equivalent Mg, one V, and one Al atom to form OMg4AlV octahedra that share corners with six OMg4AlV octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4AlV octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All O–Mg bond lengths are 2.13 Å. In the thirteenth O site, O is bonded to five Mg and one Al atom to form a mixture of corner and edge-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. The O–Mg bond length is 2.12 Å. In the fifteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. The O–Mg bond length is 2.14 Å. In the sixteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of O–Mg bond distances ranging from 2.12–2.14 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on BaSrMg30O32 by Materials Project

BaSrMg30O32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.29 Å) and four longer (2.44 Å) Ba–O bond lengths. Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.15 Å) and four longer (2.37 Å) Sr–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.98–2.22 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.91–2.24 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.22 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.23 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BaO6 octahedra, an edgeedge with one SrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.07–2.27 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.15–2.22 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one SrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.23 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.10–2.25 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Sr2+ and five Mg2+ atoms to form OSrMg5 octahedra that share corners with six OBaMg5 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to one Ba2+ and five Mg2+ atoms to form OBaMg5 octahedra that share corners with six OSrMg5 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. Both O–Mg bond lengths are 2.22 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. Both O–Mg bond lengths are 2.22 Å. In the fifth O2- site, O2- is bonded to one Sr2+ and five Mg2+ atoms to form a mixture of corner and edge-sharing OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 1.98–2.23 Å. In the sixth O2- site, O2- is bonded to one Ba2+ and five Mg2+ atoms to form a mixture of corner and edge-sharing OBaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. All O–Mg bond lengths are 2.25 Å. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.12 Å) and two longer (2.22 Å) O–Mg bond lengths. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to one Ba2+, one Sr2+, and four equivalent Mg2+ atoms to form OBaSrMg4 octahedra that share corners with six OBaSrMg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O2- site, O2- is bonded to one Ba2+, one Sr2+, and four equivalent Mg2+ atoms to form OBaSrMg4 octahedra that share corners with six OBaSrMg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All O–Mg bond lengths are 2.27 Å. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OBaSrMg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OBaSrMg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.07 Å) and two longer (2.19 Å) O–Mg bond lengths. In the fourteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. The O–Mg bond length is 2.22 Å. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.12 Å) and three longer (2.22 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CaMg30SnO32 by Materials Project

CaMg30SnO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.28 Å) Ca–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.04–2.18 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.97–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.16 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.17 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.20 Å. Sn2+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.22 Å) and four longer (2.34 Å) Sn–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form OCaMg5 octahedra that share corners with six OMg5Sn octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to five Mg2+ and one Sn2+ atom to form OMg5Sn octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg5Sn octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.17 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. Both O–Mg bond lengths are 2.17 Å. In the fifth O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form a mixture of corner and edge-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of O–Mg bond distances ranging from 2.04–2.19 Å. In the sixth O2- site, O2- is bonded to five Mg2+ and one Sn2+ atom to form a mixture of corner and edge-sharing OMg5Sn octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.18 Å) and two longer (2.20 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.13 Å) and two longer (2.17 Å) O–Mg bond lengths. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Sn octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to one Ca2+, four equivalent Mg2+, and one Sn2+ atom to form OCaMg4Sn octahedra that share corners with six OCaMg4Sn octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O2- site, O2- is bonded to one Ca2+, four equivalent Mg2+, and one Sn2+ atom to form OCaMg4Sn octahedra that share corners with six OCaMg4Sn octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All O–Mg bond lengths are 2.22 Å. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCaMg4Sn octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCaMg4Sn octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.09 Å) and two longer (2.16 Å) O–Mg bond lengths. In the fourteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.18 Å. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of O–Mg bond distances ranging from 2.13–2.18 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 distorted LiO6 octahedra that share corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–21°. There are a spread of Li–O bond distances ranging from 2.02–2.52 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of Li–O bond distances ranging from 2.01–2.42 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.02–2.36 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 1.93–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.03–2.36 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.01–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Mn–O bond distances ranging from 1.88–2.01 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the second Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.41 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–21°. There are a spread of Co–O bond distances ranging from 1.92–2.30 Å. In the fourth Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.43 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the second O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the third O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–21°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–21°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–18°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on NaCeMg30O32 by Materials Project

NaMg30CeO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent CeO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.28 Å) Na–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CeO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.02–2.18 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.03 Å) and four longer (2.17 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.17 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, an edgeedge with one CeO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.15–2.18 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CeO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. Ce3+ is bonded to six O2- atoms to form CeO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.20 Å) and four longer (2.29 Å) Ce–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Ce3+ atom to form OCeMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six OCeMg5 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.18 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O2- site, O2- is bonded to five Mg2+ and one Ce3+ atom to form a mixture of edge and corner-sharing OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of O–Mg bond distances ranging from 2.02–2.25 Å. In the sixth O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.08 Å) and two longer (2.15 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.09 Å) and two longer (2.18 Å) O–Mg bond lengths. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.15 Å) and two longer (2.16 Å) O–Mg bond lengths. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to one Na1+, four equivalent Mg2+, and one Ce3+ atom to form ONaCeMg4 octahedra that share corners with six ONaCeMg4 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh O2- site, O2- is bonded to one Na1+, four equivalent Mg2+, and one Ce3+ atom to form ONaCeMg4 octahedra that share corners with six ONaCeMg4 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. All O–Mg bond lengths are 2.21 Å. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaCeMg4 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirteenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaCeMg4 octahedra and edges with twelve OCeMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.10 Å) and two longer (2.16 Å) O–Mg bond lengths. In the fourteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. The O–Mg bond length is 2.18 Å. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.09 Å) and three longer (2.18 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Y20Cu6(Pb3Se14)3 by Materials Project

Y20Cu6(Pb3Se14)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, corners with three PbSe7 pentagonal bipyramids, a cornercorner with one CuSe4 tetrahedra, edges with five YSe6 octahedra, and an edgeedge with one YSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–48°. There are a spread of Y–Se bond distances ranging from 2.84–2.91 Å. In the second Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, corners with three YSe7 pentagonal bipyramids, a cornercorner with one CuSe4 tetrahedra, and edges with five YSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–60°. There are a spread of Y–Se bond distances ranging from 2.84–2.94 Å. In the third Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, corners with three PbSe7 pentagonal bipyramids, a cornercorner with one CuSe4 tetrahedra, edges with five YSe6 octahedra, and an edgeedge with one PbSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–49°. There are a spread of Y–Se bond distances ranging from 2.82–2.92 Å. In the fourth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, a cornercorner with one PbSe7 pentagonal bipyramid, a cornercorner with one CuSe4 tetrahedra, edges with five YSe6 octahedra, and an edgeedge with one YSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 4–53°. There are a spread of Y–Se bond distances ranging from 2.79–3.00 Å. In the fifth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, corners with two equivalent YSe7 pentagonal bipyramids, a cornercorner with one CuSe4 tetrahedra, edges with five YSe6 octahedra, and an edgeedge with one PbSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 5–54°. There are a spread of Y–Se bond distances ranging from 2.77–3.00 Å. In the sixth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, corners with three PbSe7 pentagonal bipyramids, a cornercorner with one CuSe4 tetrahedra, edges with five YSe6 octahedra, and an edgeedge with one PbSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 2–55°. There are a spread of Y–Se bond distances ranging from 2.84–2.96 Å. In the seventh Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with two YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, edges with two YSe6 octahedra, an edgeedge with one YSe7 pentagonal bipyramid, edges with two PbSe7 pentagonal bipyramids, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Y–Se bond distances ranging from 2.83–2.90 Å. In the eighth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with two YSe6 octahedra, corners with two YSe7 pentagonal bipyramids, edges with two YSe6 octahedra, an edgeedge with one YSe7 pentagonal bipyramid, an edgeedge with one PbSe7 pentagonal bipyramid, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of Y–Se bond distances ranging from 2.84–2.95 Å. In the ninth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with two YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, a cornercorner with one PbSe7 pentagonal bipyramid, edges with two YSe6 octahedra, edges with three PbSe7 pentagonal bipyramids, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of Y–Se bond distances ranging from 2.82–2.92 Å. In the tenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with two YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, edges with two YSe6 octahedra, edges with two YSe7 pentagonal bipyramids, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Y–Se bond distances ranging from 2.80–2.94 Å. In the eleventh Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with two YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, a cornercorner with one PbSe7 pentagonal bipyramid, edges with two YSe6 octahedra, an edgeedge with one YSe7 pentagonal bipyramid, an edgeedge with one PbSe7 pentagonal bipyramid, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of Y–Se bond distances ranging from 2.79–2.93 Å. In the twelfth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with two YSe6 octahedra, corners with two PbSe7 pentagonal bipyramids, edges with two YSe6 octahedra, an edgeedge with one YSe7 pentagonal bipyramid, edges with two PbSe7 pentagonal bipyramids, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Y–Se bond distances ranging from 2.84–2.91 Å. In the thirteenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, corners with two PbSe7 pentagonal bipyramids, edges with five YSe6 octahedra, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–43°. There are a spread of Y–Se bond distances ranging from 2.85–2.94 Å. In the fourteenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, a cornercorner with one PbSe7 pentagonal bipyramid, edges with five YSe6 octahedra, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–42°. There are a spread of Y–Se bond distances ranging from 2.86–2.90 Å. In the fifteenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, corners with two PbSe7 pentagonal bipyramids, edges with five YSe6 octahedra, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–41°. There are a spread of Y–Se bond distances ranging from 2.86–2.91 Å. In the sixteenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, edges with five YSe6 octahedra, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–41°. There are a spread of Y–Se bond distances ranging from 2.86–2.91 Å. In the seventeenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, edges with five YSe6 octahedra, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–42°. There are a spread of Y–Se bond distances ranging from 2.86–2.90 Å. In the eighteenth Y3+ site, Y3+ is bonded to six Se2- atoms to form YSe6 octahedra that share corners with three YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, a cornercorner with one PbSe7 pentagonal bipyramid, edges with five YSe6 octahedra, and edges with two CuSe4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–44°. There are a spread of Y–Se bond distances ranging from 2.85–2.92 Å. In the nineteenth Y3+ site, Y3+ is bonded to seven Se2- atoms to form distorted YSe7 pentagonal bipyramids that share corners with eight YSe6 octahedra, a cornercorner with one CuSe4 tetrahedra, edges with four YSe6 octahedra, and a faceface with one PbSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 22–70°. There are a spread of Y–Se bond distances ranging from 2.77–3.28 Å. In the twentieth Y3+ site, Y3+ is bonded to seven Se2- atoms to form distorted YSe7 pentagonal bipyramids that share corners with eight YSe6 octahedra, a cornercorner with one CuSe4 tetrahedra, edges with four YSe6 octahedra, and a faceface with one PbSe7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 21–70°. There are a spread of Y–Se bond distances ranging from 2.76–3.29 Å. There are six inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share a cornercorner with one YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, corners with two CuSe4 tetrahedra, and edges with four YSe6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Cu–Se bond distances ranging from 2.46–2.51 Å. In the second Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share a cornercorner with one YSe6 octahedra, corners with two CuSe4 tetrahedra, and edges with four YSe6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Cu–Se bond distances ranging from 2.42–2.52 Å. In the third Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share a cornercorner with one YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, corners with two CuSe4 tetrahedra, and edges with four YSe6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Cu–Se bond distances ranging from 2.47–2.51 Å. In the fourth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share a cornercorner with one YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, corners with two CuSe4 tetrahedra, and edges with four YSe6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are one shorter (2.45 Å) and three longer (2.50 Å) Cu–Se bond lengths. In the fifth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share a cornercorner with one YSe6 octahedra, a cornercorner with one PbSe7 pentagonal bipyramid, corners with two CuSe4 tetrahedra, and edges with four YSe6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Cu–Se bond distances ranging from 2.46–2.51 Å. In the sixth Cu1+ site, Cu1+ is bonded to four Se2- atoms to form CuSe4 tetrahedra that share a cornercorner with one YSe6 octahedra, a cornercorner with one YSe7 pentagonal bipyramid, corners with two CuSe4 tetrahedra, and edges with four YSe6 octahedra. The corner-sharing octahedral tilt angles are 12°. There are a spread of Cu–Se bond distances ranging from 2.46–2.50 Å. There are nine inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pb–Se bond distances ranging from 2.93–3.61 Å. In the second Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pb–Se bond distances ranging from 2.93–3.58 Å. In the third Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pb–Se bond distances ranging from 2.95–3.57 Å. In the fourth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pb–Se bond distances ranging from 2.93–3.63 Å. In the fifth Pb2+ site, Pb2+ is bonded in a 7-coordinate geometry to seven Se2- atoms. There are a spread of Pb–Se bond distances ranging from 2.90–3.61 Å. In the six

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.06–2.39 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.07–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.08–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.06–2.36 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.62 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form edge-sharing LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.30 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mn–O bond distances ranging from 1.96–2.26 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO6 octahedra, edges with four MnO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.89–2.06 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.96–2.19 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.93–2.23 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Co–O bond distances ranging from 1.95–2.13 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.80–2.50 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.58 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with three equivalent OLi3Mn2Co octahedra and edges with nine OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with three equivalent OLi3MnCo2 octahedra and edges with nine OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with three equivalent OLi5Co octahedra and edges with nine OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 two equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–13°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.04–2.38 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.12–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 1.98–2.33 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 1.98–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.90–2.04 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Mn–O bond distances ranging from 1.83–2.09 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.94–2.14 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Co–O bond distances ranging from 1.92–2.18 Å. In the third Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.50 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Co–O bond distances ranging from 1.93–2.14 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two equivalent Mn2+, and one Co4+ atom. In the second O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. In the third O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with ten OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–22°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with four OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with four OLi5Mn octahedra and edges with eleven OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–22°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with ten OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.02–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.04–2.52 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.24 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 CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three MnO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 2.05–2.14 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mn–O bond distances ranging from 1.82–2.13 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Mn–O bond distances ranging from 1.96–2.26 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.77–2.37 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Co–O bond distances ranging from 2.00–2.17 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.94–2.22 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with five OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with four OLi4Mn2 octahedra and edges with nine OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–14°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form distorted OLi3Co3 octahedra that share corners with four OLi5Co octahedra and edges with nine OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with ten OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Co4+ atoms. In the tenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–13°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–69°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. There are four 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 MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Fe–O bond distances ranging from 2.14–2.25 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Fe–O bond distances ranging from 2.10–2.27 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Co–O bond distances ranging from 2.07–2.24 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.08–2.22 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–69°. There are a spread of Co–O bond distances ranging from 2.08–2.23 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.08–2.23 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners wit

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li34(YSb2)13 by Materials Project

Li34(YSb2)13 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are thirty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.03 Å) and three longer (3.26 Å) Li–Sb bond lengths. In the second Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.03 Å) and three longer (3.30 Å) Li–Sb bond lengths. In the third Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. All Li–Sb bond lengths are 3.16 Å. In the fourth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are three shorter (3.12 Å) and three longer (3.21 Å) Li–Sb bond lengths. In the fifth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.02 Å) and three longer (3.30 Å) Li–Sb bond lengths. In the sixth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form distorted LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with three equivalent LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with three equivalent LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are three shorter (3.03 Å) and three longer (3.31 Å) Li–Sb bond lengths. In the seventh Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 18–55°. There are three shorter (2.71 Å) and one longer (2.83 Å) Li–Sb bond lengths. In the eighth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are three shorter (3.16 Å) and three longer (3.19 Å) Li–Sb bond lengths. In the ninth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are three shorter (2.70 Å) and one longer (2.91 Å) Li–Sb bond lengths. In the tenth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are three shorter (3.13 Å) and three longer (3.20 Å) Li–Sb bond lengths. In the eleventh Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 18–55°. There are three shorter (2.71 Å) and one longer (2.86 Å) Li–Sb bond lengths. In the twelfth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–55°. There are three shorter (2.71 Å) and one longer (2.87 Å) Li–Sb bond lengths. In the thirteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.71 Å) and one longer (2.86 Å) Li–Sb bond lengths. In the fourteenth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are three shorter (3.16 Å) and three longer (3.17 Å) Li–Sb bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to six Sb+2.81- atoms to form LiSb6 octahedra that share corners with twelve YSb6 octahedra, corners with six LiSb4 tetrahedra, edges with six equivalent LiSb6 octahedra, faces with two YSb6 octahedra, and faces with six LiSb4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are three shorter (3.15 Å) and three longer (3.18 Å) Li–Sb bond lengths. In the sixteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.71 Å) and one longer (2.86 Å) Li–Sb bond lengths. In the seventeenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.70 Å) and one longer (2.88 Å) Li–Sb bond lengths. In the eighteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There are three shorter (2.69 Å) and one longer (2.92 Å) Li–Sb bond lengths. In the nineteenth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–55°. There are three shorter (2.72 Å) and one longer (2.89 Å) Li–Sb bond lengths. In the twentieth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 18–56°. There are three shorter (2.72 Å) and one longer (2.82 Å) Li–Sb bond lengths. In the twenty-first Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 17–56°. There are three shorter (2.71 Å) and one longer (2.81 Å) Li–Sb bond lengths. In the twenty-second Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are three shorter (2.70 Å) and one longer (2.89 Å) Li–Sb bond lengths. In the twenty-third Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.70 Å) and one longer (2.82 Å) Li–Sb bond lengths. In the twenty-fourth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–55°. There are three shorter (2.71 Å) and one longer (2.87 Å) Li–Sb bond lengths. In the twenty-fifth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent LiSb4 tetrahedra, edges with three equivalent YSb6 octahedra, edges with three equivalent LiSb4 tetrahedra, and faces with three equivalent LiSb6 octahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are three shorter (2.71 Å) and one longer (2.87 Å) Li–Sb bond lengths. In the twenty-sixth Li1+ site, Li1+ is bonded to four Sb+2.81- atoms to form LiSb4 tetrahedra that share corners with three equivalent LiSb6 octahedra, corners with six YSb6 octahedra, corners with six equivalent

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ce10Y22O53 by Materials Project

Ce10Y22O53 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ce sites. In the first Ce site, Ce is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Ce–O bond distances ranging from 2.26–2.41 Å. In the second Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, edges with three YO6 octahedra, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.27–2.42 Å. In the third Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Ce–O bond distances ranging from 2.20–2.55 Å. In the fourth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, edges with three YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.24–2.48 Å. In the fifth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ce–O bond distances ranging from 2.24–2.38 Å. In the sixth Ce site, Ce is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.64 Å. In the seventh Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ce–O bond distances ranging from 2.20–2.38 Å. In the eighth Ce site, Ce is bonded to seven O atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ce–O bond distances ranging from 2.21–2.40 Å. In the ninth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with three YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, corners with two CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Ce–O bond distances ranging from 2.19–2.37 Å. In the tenth Ce site, Ce is bonded to six O atoms to form distorted CeO6 octahedra that share corners with four YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Ce–O bond distances ranging from 2.22–2.32 Å. There are twenty-two inequivalent Y sites. In the first Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with three YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Y–O bond distances ranging from 2.27–2.53 Å. In the second Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Y–O bond distances ranging from 2.24–2.33 Å. In the third Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with three YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.24–2.40 Å. In the fourth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Y–O bond distances ranging from 2.25–2.33 Å. In the fifth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, corners with three CeO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Y–O bond distances ranging from 2.23–2.38 Å. In the sixth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Y–O bond distances ranging from 2.26–2.59 Å. In the seventh Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.26–2.45 Å. In the eighth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Y–O bond distances ranging from 2.29–2.47 Å. In the ninth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, corners with two YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, and edges with three YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Y–O bond distances ranging from 2.25–2.39 Å. In the tenth Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with three YO7 pentagonal bipyramids, edges with three YO6 octahedra, an edgeedge with one YO7 pentagonal bipyramid, and edges with two CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Y–O bond distances ranging from 2.23–2.37 Å. In the eleventh Y site, Y is bonded to six O atoms to form distorted YO6 octahedra that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, corners with four YO7 pentagonal bipyramids, an edgeedge with one CeO6 octahedra, edges with two YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with two YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Y–O bond distances ranging from 2.24–2.42 Å. In the twelfth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Y–O bond distances ranging from 2.28–2.46 Å. In the thirteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, edges with four YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Y–O bond distances ranging from 2.28–2.48 Å. In the fourteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, edges with three CeO7 pentagonal bipyramids, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Y–O bond distances ranging from 2.28–2.44 Å. In the fifteenth Y site, Y is bonded to seven O atoms to form distorted YO7 pentagonal bipyramids that share corners with two YO6 octahedra, an edgeedge with one CeO6 octahedra, an edgeedge with one YO6 octahedra, edges with two CeO7 pentagonal bipyramids, and edges with five YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Y–O bond distances ranging from 2.30–2.50 Å. In the sixteenth Y site, Y is bonded to six O atoms to form YO6 octahedra that share a cornercorner with one CeO6 octahedra, corners with two YO6 octahedra, corners with two YO7 pentagonal bipyramids, an edgeedge with one YO6 octahedra, edges with two YO7 pentagonal bipyramids, and edges with three CeO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Y–O bond distances ranging from 2.24–2.33 Å. In the seventeenth Y site, Y is bonded to six O atoms to form YO6 octahedra that share corners with two CeO6 octahedra, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, edges with two YO6 octahedra, and edges with four YO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 55–59

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li5Mn9(P2O7)8 by Materials Project

Li5Mn9(P2O7)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded in a 4-coordinate geometry to three O atoms. There are one shorter (1.93 Å) and two longer (2.07 Å) Li–O bond lengths. In the second Li site, Li is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the third Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the fourth Li site, Li is bonded in a distorted T-shaped geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–80°. There are a spread of Li–O bond distances ranging from 1.94–2.45 Å. There are nine inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.95–2.31 Å. In the second Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.91–2.47 Å. In the third Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.94–2.46 Å. In the fourth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 1.89–2.56 Å. In the fifth Mn site, Mn is bonded in a 4-coordinate geometry to six O atoms. There are a spread of Mn–O bond distances ranging from 1.94–2.53 Å. In the sixth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.89–2.48 Å. In the seventh Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mn–O bond distances ranging from 1.93–2.46 Å. In the eighth Mn site, Mn is bonded to six O atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.91–2.47 Å. In the ninth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with six PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–50°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. There are fifty-six inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Mn and one P atom. In the third O site, O is bonded in a distorted T-shaped geometry to two Li and one P atom. In the fourth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the fifth O site, O is bonded in a distorted water-like geometry to one Mn and one P atom. In the sixth O site, O is bonded in a bent 120 degrees geometry to one Mn and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Mn, and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the tenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the eleventh O site, O is bonded in a 3-coordinate geometry to two Li and one P atom. In the twelfth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the thirteenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Mn, and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the seventeenth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the eighteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to two Mn and one P atom. In the twenty-first O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Mn and one P atom. In the twenty-fifth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-sixth O site, O is bonded in a water-like geometry to one Mn and one P atom. In the twenty-seventh O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the twenty-eighth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the twenty-ninth O site, O is bonded in a 2-coordinate geometry to two Mn and one P atom. In the thirtieth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the thirty-first O site, O is bonded in a water-like geometry to one Mn and one P atom. In the thirty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Mn and one P atom. In the thirty-third O site, O is bonded in a 2-coordinate geometry

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr5La5Cu(NiO5)4 by Materials Project

Sr5La5Cu(NiO5)4 is (La,Ba)CuO4-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.82 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.83 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.83 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.80 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.83 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.79 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.85 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.75 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.76 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.73 Å. There are four inequivalent Ni+3.50+ sites. In the first Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Ni–O bond distances ranging from 1.92–2.13 Å. In the second Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.89–2.11 Å. In the third Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Ni–O bond distances ranging from 1.92–2.13 Å. In the fourth Ni+3.50+ site, Ni+3.50+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.01 Å. Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Cu–O bond distances ranging from 1.93–2.25 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 4–55°. In the second O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2CuNi octahedra, and faces with eight OSr4LaNi octahedra. The corner-sharing octahedra tilt angles range from 3–55°. In the third O2- site, O2- is bonded to two Sr2+, three La3+, and one Ni+3.50+ atom to form distorted OSr2La3Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the fourth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 4–56°. In the fifth O2- site, O2- is bonded to three Sr2+, two La3+, and one Cu1+ atom to form distorted OSr3La2Cu octahedra that share corners with seventeen OSrLa4Cu octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 1–53°. In the sixth O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSr2La2CuNi octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSrLa4Cu octahedra. The corner-sharing octahedra tilt angles range from 6–56°. In the seventh O2- site, O2- is bonded to one Sr2+, four La3+, and one Ni+3.50+ atom to form distorted OSrLa4Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the eighth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2CuNi octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 5–56°. In the ninth O2- site, O2- is bonded to three Sr2+, two La3+, and one Ni+3.50+ atom to form distorted OSr3La2Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the tenth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form a mixture of distorted edge, corner, and face-sharing OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 3–57°. In the eleventh O2- site, O2- is bonded to two Sr2+, three La3+, and one Ni+3.50+ atom to form distorted OSr2La3Ni octahedra that share corners with seventeen OSrLa4Cu octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the twelfth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 4–55°. In the thirteenth O2- site, O2- is bonded to four Sr2+, one La3+, and one Ni+3.50+ atom to form distorted OSr4LaNi octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSr4LaNi octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–54°. In the fourteenth O2- site, O2- is bonded to two Sr2+, two La3+, and two Ni+3.50+ atoms to form distorted OSr2La2Ni2 octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr4LaNi octahedra. The corner-sharing octahedra tilt angles range from 3–55°. In the fifteenth O2- site, O2- is bonded to two Sr2+, three La3+, and one Ni+3.50+ atom to form distorted OSr2La3Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the sixteenth O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSr2La2CuNi octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 4–55°. In the seventeenth O2- site, O2- is bonded to three Sr2+, two La3+, and one Ni+3.50+ atom to form distorted OSr3La2Ni octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the eighteenth O2- site, O2- is bonded to two Sr2+, two La3+, one Ni+3.50+, and one Cu1+ atom to form distorted OSr2La2CuNi octahedra that share corners with fourteen OSrLa4Cu octahedra, edges with two OSr2La2Ni2 octahedra, and faces with eight OSrLa4Cu octahedra. The corner-sharing octahedra tilt angles range from 3–56°. In the nineteenth O2- site, O2- is bonded to one Sr2+, four La3+, and one Cu1+ atom to form distorted OSrLa4Cu octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSr4LaNi octahedra, and faces with four OSr2La2CuNi octahedra. The corner-sharing octahedra tilt angles range from 1–53°. In the twentieth O2- site, O2- is bonded to four Sr2+, one La3+, and one Ni+3.50+ atom to form distorted OSr4LaNi octahedra that share corners with seventeen OSr2La2CuNi octahedra, edges with eight OSrLa4Cu octahedra, and faces with four OSr2La2Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Fe15O16 by Materials Project

Fe15O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Fe+2.13+ sites. In the first Fe+2.13+ site, Fe+2.13+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.00–2.74 Å. In the second Fe+2.13+ site, Fe+2.13+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–66°. There are a spread of Fe–O bond distances ranging from 1.91–2.06 Å. In the third Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Fe–O bond distances ranging from 2.06–2.36 Å. In the fourth Fe+2.13+ site, Fe+2.13+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.02–2.72 Å. In the fifth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent FeO4 tetrahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 11–13°. There are a spread of Fe–O bond distances ranging from 2.08–2.28 Å. In the sixth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Fe–O bond distances ranging from 2.12–2.33 Å. In the seventh Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent FeO4 tetrahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Fe–O bond distances ranging from 2.07–2.29 Å. In the eighth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.11–2.33 Å. In the ninth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and edges with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Fe–O bond distances ranging from 2.12–2.40 Å. In the tenth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and edges with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.32 Å. In the eleventh Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and edges with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Fe–O bond distances ranging from 2.14–2.32 Å. In the twelfth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO4 tetrahedra, and edges with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.13–2.36 Å. In the thirteenth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent FeO4 tetrahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Fe–O bond distances ranging from 2.02–2.18 Å. In the fourteenth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.29 Å. In the fifteenth Fe+2.13+ site, Fe+2.13+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent FeO4 tetrahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Fe–O bond distances ranging from 2.07–2.29 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.13+ atoms to form distorted OFe6 octahedra that share corners with two equivalent OFe6 octahedra, corners with five OFe5 square pyramids, edges with three OFe6 octahedra, edges with three OFe5 square pyramids, and a faceface with one OFe6 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. In the second O2- site, O2- is bonded to six Fe+2.13+ atoms to form OFe6 octahedra that share corners with six OFe5 square pyramids, edges with eight OFe6 octahedra, and edges with three OFe5 square pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to five Fe+2.13+ atoms. In the fourth O2- site, O2- is bonded to six Fe+2.13+ atoms to form OFe6 octahedra that share corners with four equivalent OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with six OFe6 octahedra, and edges with five OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. In the fifth O2- site, O2- is bonded to six Fe+2.13+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with six OFe6 octahedra, and edges with five OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–25°. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to five Fe+2.13+ atoms. In the seventh O2- site, O2- is bonded to six Fe+2.13+ atoms to form distorted OFe6 octahedra that share corners with two equivalent OFe6 octahedra, corners with five OFe5 square pyramids, edges with three OFe6 octahedra, edges with three OFe5 square pyramids, and a faceface with one OFe6 octahedra. The corner-sharing octahedra tilt angles range from 3–25°. In the eighth O2- site, O2- is bonded to five Fe+2.13+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with two OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–87°. In the ninth O2- site, O2- is bonded to six Fe+2.13+ atoms to form OFe6 octahedra that share corners with six OFe5 square pyramids, edges with eight OFe6 octahedra, and edges with three OFe5 square pyramids. In the tenth O2- site, O2- is bonded to five Fe+2.13+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with two OFe5 square pyramids, edges with four OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–23°. In the eleventh O2- site, O2- is bonded to six Fe+2.13+ atoms to form OFe6 octahedra that share corners with four equivalent OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with six OFe6 octahedra, and edges with five OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. In the twelfth O2- site, O2- is bonded to five Fe+2.13+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with two OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 10–82°. In the thirteenth O2- site, O2- is bonded to five Fe+2.13+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with two OFe5 square pyramids, edges with four OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–23°. In the fourteenth O2- site, O2- is bonded to five Fe+2.13+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with two OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–84°. In the fifteenth O2- site, O2- is bonded to five Fe+2.13+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with two OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–87°. In the sixteenth O2- site, O2- is bonded to six Fe+2.13+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with six OFe6 octahedra, and edges with five OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–27°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Fe23O25 by Materials Project

Fe23O25 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Fe+2.17+ sites. In the first Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Fe–O bond distances ranging from 2.10–2.33 Å. In the second Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Fe–O bond distances ranging from 2.10–2.33 Å. In the third Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 2.09–2.26 Å. In the fourth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Fe–O bond distances ranging from 2.09–2.24 Å. In the fifth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Fe–O bond distances ranging from 2.01–2.18 Å. In the sixth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.14–2.23 Å. In the seventh Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Fe–O bond distances ranging from 2.10–2.39 Å. In the eighth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.21 Å. In the ninth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Fe–O bond distances ranging from 2.11–2.24 Å. In the tenth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Fe–O bond distances ranging from 2.04–2.20 Å. In the eleventh Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Fe–O bond distances ranging from 2.10–2.23 Å. In the twelfth Fe+2.17+ site, Fe+2.17+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–9°. In the second O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. In the third O2- site, O2- is bonded to five Fe+2.17+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to five Fe+2.17+ atoms to form OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, corners with seven OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 7–11°. In the fifth O2- site, O2- is bonded to five Fe+2.17+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, corners with five OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 4–10°. In the sixth O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–11°. In the seventh O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the eighth O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the ninth O2- site, O2- is bonded to five Fe+2.17+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 7–9°. In the tenth O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 8–10°. In the eleventh O2- site, O2- is bonded to five Fe+2.17+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 10–13°. In the twelfth O2- site, O2- is bonded to six Fe+2.17+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–7°. In the thirteenth O2- site, O2- is bonded to five Fe+2.17+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–8°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ba4Li4Ti19O44 by Materials Project

Li4Ba4Ti19O44 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 in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.44 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with five TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–49°. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with nine TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 47–71°. There are a spread of Li–O bond distances ranging from 1.88–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.24 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–47°. There are a spread of Ba–O bond distances ranging from 2.78–3.07 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–54°. There are a spread of Ba–O bond distances ranging from 2.78–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent LiO6 octahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–55°. There are a spread of Ba–O bond distances ranging from 2.73–3.25 Å. There are nineteen 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 BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.82–2.21 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Ti–O bond distances ranging from 1.85–2.23 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with two TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–54°. There are a spread of Ti–O bond distances ranging from 1.81–2.21 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Ti–O bond distances ranging from 1.87–2.12 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of Ti–O bond distances ranging from 1.77–2.15 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 10–19°. There are a spread of Ti–O bond distances ranging from 1.82–2.23 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with three TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–18°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.16 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.24 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, edges with two equivalent LiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–51°. There are a spread of Ti–O bond distances ranging from 1.87–2.08 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–57°. There are a spread of Ti–O bond distances ranging from 1.79–2.18 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.88–2.15 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Ba2+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometr

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li6Fe7O15 by Materials Project

Li6Fe7O15 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Li–O bond distances ranging from 1.98–2.34 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, edges with three LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 1.97–2.41 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 1.98–2.36 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Li–O bond distances ranging from 1.98–2.34 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, edges with three LiO6 octahedra, and edges with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Li–O bond distances ranging from 1.97–2.40 Å. There are seven inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Fe–O bond distances ranging from 1.95–2.05 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with three FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Fe–O bond distances ranging from 1.98–2.14 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with three FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Fe–O bond distances ranging from 1.98–2.21 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Fe–O bond distances ranging from 1.92–2.11 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two LiO6 octahedra, corners with four FeO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Fe–O bond distances ranging from 1.94–2.10 Å. There are fifteen inequivalent O sites. In the first O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with four OLi4Fe2 octahedra, a cornercorner with one OLi3Fe2 square pyramid, edges with four OLi3Fe3 octahedra, and edges with seven OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–13°. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the third O site, O is bonded to three Li and two equivalent Fe atoms to form OLi3Fe2 square pyramids that share a cornercorner with one OLi4Fe2 octahedra, corners with five OLi3Fe2 square pyramids, edges with seven OLi4Fe2 octahedra, and an edgeedge with one OLi3Fe2 square pyramid. The corner-sharing octahedral tilt angles are 1°. In the fourth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with five OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with two equivalent OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 7°. In the fifth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with five OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with two equivalent OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 4°. In the sixth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with four OLi4Fe2 octahedra, a cornercorner with one OLi2Fe3 square pyramid, edges with four OLi3Fe3 octahedra, and edges with seven OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the seventh O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with four OLi3Fe3 octahedra, a cornercorner with one OLi2Fe3 square pyramid, edges with four OLi4Fe2 octahedra, and edges with seven OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the eighth O site, O is bonded to four Li and two Fe atoms to form distorted OLi4Fe2 octahedra that share corners with four OLi3Fe3 octahedra, a cornercorner with one OLi3Fe2 square pyramid, edges with four OLi3Fe3 octahedra, and edges with seven OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 5–17°. In the ninth O site, O is bonded to three Li and two equivalent Fe atoms to form OLi3Fe2 square pyramids that share a cornercorner with one OLi4Fe2 octahedra, corners with five OLi2Fe3 square pyramids, edges with seven OLi3Fe3 octahedra, and an edgeedge with one OLi3Fe2 square pyramid. The corner-sharing octahedral tilt angles are 1°. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to four Fe atoms. In the eleventh O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with five OLi4Fe2 octahedra, a cornercorner with one OLi2Fe3 square pyramid, edges with three OLi3Fe3 octahedra, and edges with five OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–5°. In the twelfth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with four OLi3Fe2 square pyramids, edges with six OLi4Fe2 octahedra, and edges with two equivalent OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the thirteenth O site, O is bonded to two Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with four OLi2Fe3 square pyramids, edges with six OLi4Fe2 octahedra, and edges with two equivalent OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 8°. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two equivalent Fe atoms. In the fifteenth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with five OLi3Fe3 octahedra, a cornercorner with one OLi2Fe3 square pyramid, edges with three OLi4Fe2 octahedra, and edges with five OLi3Fe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°.

36 MATERIALS SCIENCE↗