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Materials Data on NaLaMg30O32 by Materials Project

NaMg30LaO32 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 LaO6 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 (2.09 Å) and four longer (2.29 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 LaO6 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 1.99–2.19 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 a spread of Mg–O bond distances ranging from 2.02–2.18 Å. 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 (2.12 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 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 LaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.08–2.26 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 LaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.09–2.23 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 NaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are four shorter (2.16 Å) and two longer (2.18 Å) Mg–O bond lengths. La3+ is bonded to six O2- atoms to form LaO6 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 (2.24 Å) and four longer (2.32 Å) La–O bond lengths. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one La3+ atom to form OLaMg5 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six OLaMg5 octahedra and edges with twelve ONaMg5 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 edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 La3+ atom to form a mixture of edge and corner-sharing OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of O–Mg bond distances ranging from 1.99–2.26 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 0–5°. There are two shorter (2.08 Å) and two longer (2.16 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 OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 equivalent OMg6 octahedra and edges with twelve OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to one Na1+, four equivalent Mg2+, and one La3+ atom to form ONaLaMg4 octahedra that share corners with six ONaLaMg4 octahedra and edges with twelve OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to one Na1+, four equivalent Mg2+, and one La3+ atom to form ONaLaMg4 octahedra that share corners with six ONaLaMg4 octahedra and edges with twelve OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. All O–Mg bond lengths are 2.21 Å. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaLaMg4 octahedra and edges with twelve OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaLaMg4 octahedra and edges with twelve OLaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.10 Å) and two longer (2.16 Å) O–Mg bond lengths. In the thirteenth 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 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 0–2°. The O–Mg bond length is 2.19 Å. 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 0–2°. There are a spread of O–Mg bond distances ranging from 2.09–2.19 Å.

36 MATERIALS SCIENCE↗

Materials Data on FeOF by Materials Project

FeOF is Hydrophilite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eighteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. All Fe–O bond lengths are 1.93 Å. There are one shorter (2.14 Å) and two longer (2.15 Å) Fe–F bond lengths. In the second Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There is one shorter (1.92 Å) and two longer (1.94 Å) Fe–O bond length. There are two shorter (2.12 Å) and one longer (2.16 Å) Fe–F bond lengths. In the third Fe3+ site, Fe3+ is bonded to four O2- and two equivalent F1- atoms to form FeO4F2 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Fe–O bond distances ranging from 1.94–2.07 Å. Both Fe–F bond lengths are 2.19 Å. In the fourth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There is one shorter (1.93 Å) and two longer (1.95 Å) Fe–O bond length. There are two shorter (2.09 Å) and one longer (2.22 Å) Fe–F bond lengths. In the fifth Fe3+ site, Fe3+ is bonded to four O2- and two equivalent F1- atoms to form FeO4F2 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Fe–O bond distances ranging from 1.94–2.01 Å. Both Fe–F bond lengths are 2.23 Å. In the sixth Fe3+ site, Fe3+ is bonded to two equivalent O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. Both Fe–O bond lengths are 1.89 Å. There are a spread of Fe–F bond distances ranging from 2.00–2.18 Å. In the seventh Fe3+ site, Fe3+ is bonded to two equivalent O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. Both Fe–O bond lengths are 1.93 Å. There are one shorter (2.03 Å) and three longer (2.09 Å) Fe–F bond lengths. In the eighth Fe3+ site, Fe3+ is bonded to five O2- and one F1- atom to form FeO5F octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO5F octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Fe–O bond distances ranging from 1.99–2.03 Å. The Fe–F bond length is 2.22 Å. In the ninth Fe3+ site, Fe3+ is bonded to one O2- and five F1- atoms to form FeOF5 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. The Fe–O bond length is 1.93 Å. There are a spread of Fe–F bond distances ranging from 2.00–2.08 Å. In the tenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form FeO3F3 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There is two shorter (1.91 Å) and one longer (1.93 Å) Fe–O bond length. There are two shorter (2.16 Å) and one longer (2.17 Å) Fe–F bond lengths. In the eleventh Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of distorted edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is one shorter (1.92 Å) and two longer (1.94 Å) Fe–O bond length. There are two shorter (2.17 Å) and one longer (2.24 Å) Fe–F bond lengths. In the twelfth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form FeO3F3 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There is two shorter (1.95 Å) and one longer (1.98 Å) Fe–O bond length. There are one shorter (2.09 Å) and two longer (2.11 Å) Fe–F bond lengths. In the thirteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. All Fe–O bond lengths are 1.95 Å. There are two shorter (2.13 Å) and one longer (2.18 Å) Fe–F bond lengths. In the fourteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There is two shorter (1.93 Å) and one longer (1.96 Å) Fe–O bond length. All Fe–F bond lengths are 2.12 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There is two shorter (1.93 Å) and one longer (1.95 Å) Fe–O bond length. There are one shorter (2.12 Å) and two longer (2.16 Å) Fe–F bond lengths. In the sixteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There is two shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. There are one shorter (2.10 Å) and two longer (2.13 Å) Fe–F bond lengths. In the seventeenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There is two shorter (1.93 Å) and one longer (1.96 Å) Fe–O bond length. There are one shorter (2.14 Å) and two longer (2.15 Å) Fe–F bond lengths. In the eighteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There is two shorter (1.94 Å) and one longer (1.97 Å) Fe–O bond length. There are one shorter (2.11 Å) and two longer (2.15 Å) Fe–F bond lengths. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. There are eighteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fourteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted T-shaped geometry to three Fe3+ atoms. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.06–2.37 Å. In the second 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 five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.02–2.32 Å. In the third 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, 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 5–15°. There are a spread of Li–O bond distances ranging from 2.00–2.39 Å. In the fourth 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 MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Li–O bond distances ranging from 2.03–2.32 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 MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.01–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted 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 CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–20°. There are a spread of Li–O bond distances ranging from 1.97–2.43 Å. In the seventh 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, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–20°. There are a spread of Li–O bond distances ranging from 2.06–2.18 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 2–12°. There are a spread of Mn–O bond distances ranging from 1.90–1.96 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 six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Mn–O bond distances ranging from 1.80–2.08 Å. There are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Co–O bond distances ranging from 1.81–2.22 Å. In the second Co+2.67+ site, Co+2.67+ 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 3–15°. There are a spread of Co–O bond distances ranging from 1.85–2.15 Å. In the third Co+2.67+ site, Co+2.67+ 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 5–17°. There are a spread of Co–O bond distances ranging from 1.93–2.16 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the fourth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form a mixture of distorted corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of distorted corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co+2.67+ atom to form a mixture of corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 4–11°. In the seventh O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 4–20°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 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 2.08–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the third 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 CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 1.96–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three 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 6–10°. There are a spread of Li–O bond distances ranging from 2.02–2.26 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, 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 5–8°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four 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 3–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 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 3–15°. There are a spread of Li–O bond distances ranging from 2.05–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 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 2–10°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the ninth 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, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.07–2.14 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 MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.83–2.09 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 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 3–9°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 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 distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Co–O bond distances ranging from 1.79–2.33 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Co–O bond distances ranging from 1.92–2.20 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.98–2.17 Å. In the fourth 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 2–8°. There are a spread of Co–O bond distances ranging from 1.97–2.10 Å. In the fifth 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 5–12°. There are a spread of Co–O bond distances ranging from 1.94–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. 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 OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 4–16°. In the fourth 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 OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixth 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighth 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 0–3°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the tenth 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 1–16°. In the eleventh 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 2–10°. In the twelfth 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 0–7°. In the thirteenth 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 fourteenth 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 2–5°. In the fifteenth 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 0–9°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on Cu4Se3O10 by Materials Project

Cu4Se3O10 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are sixteen inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–1.99 Å. In the second Cu2+ site, Cu2+ is bonded in a distorted square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–1.98 Å. In the third Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.48 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.56 Å. In the fifth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.31 Å. In the sixth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.98–2.27 Å. In the seventh Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.69 Å. In the eighth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–1.96 Å. In the ninth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.35 Å. In the tenth Cu2+ site, Cu2+ is bonded to five O2- atoms to form distorted corner-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.38 Å. In the eleventh Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.23 Å. In the twelfth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.39 Å. In the thirteenth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.19 Å. In the fourteenth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.29 Å. In the fifteenth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.94–2.28 Å. In the sixteenth Cu2+ site, Cu2+ is bonded to five O2- atoms to form a mixture of corner and edge-sharing CuO5 trigonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.93–2.28 Å. There are twelve inequivalent Se4+ sites. In the first Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.69 Å) and two longer (1.77 Å) Se–O bond length. In the second Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.71–1.78 Å. In the third Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.68 Å) and two longer (1.77 Å) Se–O bond length. In the fourth Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.70–1.79 Å. In the fifth Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.69–1.78 Å. In the sixth Se4+ site, Se4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.73–1.77 Å. In the seventh Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.73–1.76 Å. In the eighth Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.71–1.79 Å. In the ninth Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There is one shorter (1.70 Å) and two longer (1.75 Å) Se–O bond length. In the tenth Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.71–1.78 Å. In the eleventh Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.69–1.76 Å. In the twelfth Se4+ site, Se4+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Se–O bond distances ranging from 1.69–1.77 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one Se4+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Cu2+ and one Se4+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Cu2+ and one Se4+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one Se4+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Cu2+ and one Se4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Cu2+ and one Se4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Cu2+ and one Se4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Cu2+ and one Se4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the thirty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Cu2+ and one Se4+ atom. In the thirty-fourth O2- site, O2- is bonded to four Cu2+ atoms to form edge-sharing OCu4 tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one Se4+ atom. In the thirty-sixth O2- site, O2- is bonded to four Cu2+ atoms to form edge-sharing OCu4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a trigonal planar geometry to two Cu2+ and one Se4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one Se4+ atom. In the thirty-ninth O2- site, O2- is bonded to four Cu2+ atoms to form edge-sharing OCu4 tetrahedra. In the fortieth O2- site, O2- is bonded to four Cu2+ atoms to form edge-sharing OCu4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiMg30CrO32 by Materials Project

LiMg30CrO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 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 (2.23 Å) Li–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 LiO6 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 2.08–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CrO6 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 2.10–2.18 Å. 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 (2.12 Å) and two longer (2.14 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 two shorter (2.12 Å) and four longer (2.14 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 LiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mg–O bond distances ranging from 2.09–2.17 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 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 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 LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.10–2.15 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 CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are four shorter (2.12 Å) and two longer (2.13 Å) Mg–O bond lengths. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent LiO6 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 (2.02 Å) and four longer (2.07 Å) Cr–O bond lengths. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form OMg5Cr octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 0–3°. 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 0–2°. Both O–Mg bond lengths are 2.14 Å. In the fifth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of O–Mg bond distances ranging from 2.08–2.10 Å. In the sixth 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 0–2°. There are two shorter (2.12 Å) and two longer (2.14 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 equivalent OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to one Li1+, four equivalent Mg2+, and one Cr3+ atom to form OLiMg4Cr octahedra that share corners with six OLiMg4Cr octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg4Cr octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg4Cr octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the eleventh 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 0–2°. In the twelfth 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 0–2°. The O–Mg bond length is 2.11 Å. In the thirteenth 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 0–2°. There are a spread of O–Mg bond distances ranging from 2.11–2.14 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ti27CuP16 by Materials Project

Ti27CuP16 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twenty-seven inequivalent Ti sites. In the first Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.48–2.54 Å. In the second Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.47–2.53 Å. In the third Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.43–2.57 Å. In the fourth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.48–2.53 Å. In the fifth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.53–2.75 Å. In the sixth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are four shorter (2.53 Å) and one longer (2.81 Å) Ti–P bond lengths. In the seventh Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.53–2.80 Å. In the eighth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.50–2.79 Å. In the ninth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.56–2.69 Å. In the tenth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.54–2.72 Å. In the eleventh Ti site, Ti is bonded in a 7-coordinate geometry to two equivalent Cu and five P atoms. Both Ti–Cu bond lengths are 2.85 Å. There are four shorter (2.54 Å) and one longer (2.72 Å) Ti–P bond lengths. In the twelfth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.54–2.71 Å. In the thirteenth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.41–2.57 Å. In the fourteenth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.42–2.55 Å. In the fifteenth Ti site, Ti is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.46–2.53 Å. In the sixteenth Ti site, Ti is bonded to five P atoms to form a mixture of distorted corner, edge, and face-sharing TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.40–2.55 Å. In the seventeenth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.44–2.65 Å. In the eighteenth Ti site, Ti is bonded in a distorted square co-planar geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.43–2.64 Å. In the nineteenth Ti site, Ti is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.52–3.03 Å. In the twentieth Ti site, Ti is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.52–3.01 Å. In the twenty-first Ti site, Ti is bonded in a 7-coordinate geometry to two equivalent Cu and five P atoms. Both Ti–Cu bond lengths are 2.83 Å. There are a spread of Ti–P bond distances ranging from 2.57–2.86 Å. In the twenty-second Ti site, Ti is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Ti–P bond distances ranging from 2.52–3.01 Å. In the twenty-third Ti site, Ti is bonded in a distorted square co-planar geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.48–2.64 Å. In the twenty-fourth Ti site, Ti is bonded in a distorted square co-planar geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.48–2.60 Å. In the twenty-fifth Ti site, Ti is bonded in a 4-coordinate geometry to four P atoms. There are a spread of Ti–P bond distances ranging from 2.44–2.64 Å. In the twenty-sixth Ti site, Ti is bonded in a 4-coordinate geometry to four P atoms. There are three shorter (2.45 Å) and one longer (2.65 Å) Ti–P bond lengths. In the twenty-seventh Ti site, Ti is bonded in a 4-coordinate geometry to four P atoms. There are three shorter (2.45 Å) and one longer (2.65 Å) Ti–P bond lengths. Cu is bonded in a 12-coordinate geometry to four Ti and four P atoms. There are a spread of Cu–P bond distances ranging from 2.32–2.87 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded in a 8-coordinate geometry to seven Ti and one Cu atom. In the second P site, P is bonded in a 8-coordinate geometry to eight Ti atoms. In the third P site, P is bonded in a 8-coordinate geometry to eight Ti atoms. In the fourth P site, P is bonded in a 8-coordinate geometry to eight Ti atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to eight Ti and one Cu atom. In the sixth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the seventh P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the eighth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the ninth P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the tenth P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the eleventh P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the twelfth P site, P is bonded to seven Ti atoms to form a mixture of distorted corner and edge-sharing PTi7 pentagonal bipyramids. In the thirteenth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the fourteenth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to seven Ti and two equivalent Cu atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to nine Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on K5C4Br by Materials Project

K5C4Br is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.19 Å. The K–Br bond length is 3.30 Å. In the second K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.18 Å. The K–Br bond length is 3.29 Å. In the third K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.20 Å. The K–Br bond length is 3.28 Å. In the fourth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.02–3.18 Å. The K–Br bond length is 3.26 Å. In the fifth K1+ site, K1+ is bonded to four C1- and two Br1- atoms to form a mixture of edge and corner-sharing KC4Br2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of K–C bond distances ranging from 3.15–3.18 Å. Both K–Br bond lengths are 3.17 Å. In the sixth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.02–3.17 Å. The K–Br bond length is 3.30 Å. In the seventh K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.02–3.19 Å. The K–Br bond length is 3.28 Å. In the eighth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.17 Å. The K–Br bond length is 3.28 Å. In the ninth K1+ site, K1+ is bonded to five C1- and one Br1- atom to form a mixture of edge and corner-sharing KC5Br octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of K–C bond distances ranging from 3.01–3.17 Å. The K–Br bond length is 3.27 Å. In the tenth K1+ site, K1+ is bonded to four C1- and two Br1- atoms to form a mixture of edge and corner-sharing KC4Br2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of K–C bond distances ranging from 3.15–3.18 Å. Both K–Br bond lengths are 3.17 Å. There are eight inequivalent C1- sites. In the first C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the third C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the seventh C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eighth C1- site, C1- is bonded to six K1+ atoms to form CK6 octahedra that share a cornercorner with one BrK6 octahedra, corners with five CK6 octahedra, edges with three BrK6 octahedra, and edges with nine CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two inequivalent Br1- sites. In the first Br1- site, Br1- is bonded to six K1+ atoms to form BrK6 octahedra that share corners with two equivalent BrK6 octahedra, corners with four CK6 octahedra, and edges with twelve CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second Br1- site, Br1- is bonded to six K1+ atoms to form BrK6 octahedra that share corners with two equivalent BrK6 octahedra, corners with four CK6 octahedra, and edges with twelve CK6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

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 6–7°. There are a spread of Li–O bond distances ranging from 2.14–2.18 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 2–10°. There are a spread of Li–O bond distances ranging from 2.07–2.25 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 3–11°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the fourth 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, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.04–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.12–2.35 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, 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 5–8°. There are a spread of Li–O bond distances ranging from 2.13–2.18 Å. In the seventh 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 6–11°. There are a spread of Li–O bond distances ranging from 2.14–2.19 Å. In the eighth 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, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.06–2.22 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 5–8°. There are a spread of Mn–O bond distances ranging from 1.95–2.29 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 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 6–8°. There are a spread of Mn–O bond distances ranging from 1.96–2.26 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 3–7°. There are a spread of Co–O bond distances ranging from 1.93–2.29 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 2–10°. There are a spread of Co–O bond distances ranging from 1.94–2.15 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.78–2.33 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.78–2.37 Å. In the fifth 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 6–7°. There are a spread of Co–O bond distances ranging from 1.92–2.26 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 six OLi3Mn2Co octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 1–2°. 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 1–3°. 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 1–14°. In the fifth 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 0–7°. In the sixth 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 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–15°. 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 0–3°. 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 octahedral tilt angles are 2°. 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 3–7°. In the twelfth 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 1–14°. In the thirteenth 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 0–8°. 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 six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth 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 0–15°.

36 MATERIALS SCIENCE↗

Materials Data on FeOF by Materials Project

FeOF is Hydrophilite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eighteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There is two shorter (1.92 Å) and one longer (1.93 Å) Fe–O bond length. All Fe–F bond lengths are 2.16 Å. In the second Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. All Fe–O bond lengths are 1.94 Å. There are two shorter (2.15 Å) and one longer (2.17 Å) Fe–F bond lengths. In the third Fe3+ site, Fe3+ is bonded to two equivalent O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. Both Fe–O bond lengths are 1.91 Å. There are a spread of Fe–F bond distances ranging from 2.06–2.14 Å. In the fourth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. All Fe–O bond lengths are 1.96 Å. There are two shorter (2.09 Å) and one longer (2.14 Å) Fe–F bond lengths. In the fifth Fe3+ site, Fe3+ is bonded to four O2- and two equivalent F1- atoms to form FeO4F2 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are three shorter (1.94 Å) and one longer (2.09 Å) Fe–O bond lengths. Both Fe–F bond lengths are 2.23 Å. In the sixth Fe3+ site, Fe3+ is bonded to two equivalent O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. Both Fe–O bond lengths are 1.90 Å. There are a spread of Fe–F bond distances ranging from 2.02–2.15 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- and two equivalent F1- atoms to form FeO4F2 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. Both Fe–F bond lengths are 2.13 Å. In the eighth Fe3+ site, Fe3+ is bonded to five O2- and one F1- atom to form FeO5F octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeO5F octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Fe–O bond distances ranging from 2.00–2.02 Å. The Fe–F bond length is 2.25 Å. In the ninth Fe3+ site, Fe3+ is bonded to one O2- and five F1- atoms to form FeOF5 octahedra that share corners with eight FeO3F3 octahedra and edges with two equivalent FeOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. The Fe–O bond length is 1.91 Å. There are three shorter (2.02 Å) and two longer (2.08 Å) Fe–F bond lengths. In the tenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form FeO3F3 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There is two shorter (1.91 Å) and one longer (1.93 Å) Fe–O bond length. There are two shorter (2.17 Å) and one longer (2.20 Å) Fe–F bond lengths. In the eleventh Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There is one shorter (1.92 Å) and two longer (1.93 Å) Fe–O bond length. There are two shorter (2.17 Å) and one longer (2.28 Å) Fe–F bond lengths. In the twelfth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form FeO3F3 octahedra that share corners with eight FeOF5 octahedra and edges with two equivalent FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There is one shorter (1.92 Å) and two longer (1.96 Å) Fe–O bond length. All Fe–F bond lengths are 2.12 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. All Fe–O bond lengths are 1.95 Å. There are two shorter (2.10 Å) and one longer (2.18 Å) Fe–F bond lengths. In the fourteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There is two shorter (1.93 Å) and one longer (1.97 Å) Fe–O bond length. All Fe–F bond lengths are 2.11 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There is two shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. There are one shorter (2.12 Å) and two longer (2.15 Å) Fe–F bond lengths. In the sixteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There is two shorter (1.94 Å) and one longer (1.95 Å) Fe–O bond length. There are one shorter (2.09 Å) and two longer (2.14 Å) Fe–F bond lengths. In the seventeenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is two shorter (1.92 Å) and one longer (1.95 Å) Fe–O bond length. There are one shorter (2.11 Å) and two longer (2.18 Å) Fe–F bond lengths. In the eighteenth Fe3+ site, Fe3+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There is two shorter (1.93 Å) and one longer (1.94 Å) Fe–O bond length. There are two shorter (2.14 Å) and one longer (2.23 Å) Fe–F bond lengths. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to three Fe3+ atoms. There are eighteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe3+ atoms. In the eighth F1- site, F1- is bonded in a distorted T-shaped geometry to three Fe3+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fourteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Li–O bond distances ranging from 1.98–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 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 0–11°. There are a spread of Li–O bond distances ranging from 2.06–2.19 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 3–7°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. In the fourth 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 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 2.12–2.26 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 1.98–2.60 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, 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 1–8°. There are a spread of Li–O bond distances ranging from 2.05–2.35 Å. In the seventh 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 2–9°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the eighth 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, 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 4–10°. There are a spread of Li–O bond distances ranging from 2.04–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.06–2.10 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 MnO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 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 six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There is one shorter (1.92 Å) and five longer (1.94 Å) Mn–O bond length. 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Co–O bond distances ranging from 2.01–2.07 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 2–10°. There are a spread of Co–O bond distances ranging from 1.99–2.08 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 two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Co–O bond distances ranging from 1.98–2.17 Å. In the fourth 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 0–4°. There are a spread of Co–O bond distances ranging from 2.02–2.09 Å. In the fifth 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 4–10°. There are a spread of Co–O bond distances ranging from 1.94–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the second 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 0–7°. In the third 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 octahedral tilt angles are 1°. 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 1–7°. In the fifth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the sixth 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the seventh 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 0–3°. In the eighth 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 0–9°. 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 0–15°. 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 1–7°. 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 octahedral tilt angles are 1°. In the twelfth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ 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 0–7°. In the fifteenth 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 0–3°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°.

36 MATERIALS SCIENCE↗

Materials Data on LiMg30GaO32 by Materials Project

LiMg30GaO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent GaO6 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 (2.16 Å) and two longer (2.26 Å) Li–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 LiO6 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 2.09–2.15 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent GaO6 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 2.10–2.17 Å. 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 (2.12 Å) and two longer (2.14 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 two shorter (2.12 Å) and four longer (2.13 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 LiO6 octahedra, an edgeedge with one GaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mg–O bond distances ranging from 2.09–2.17 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 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 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 LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.10–2.15 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 GaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are four shorter (2.12 Å) and two longer (2.14 Å) Mg–O bond lengths. Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent LiO6 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 (1.99 Å) and four longer (2.08 Å) Ga–O bond lengths. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Ga octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to five Mg2+ and one Ga3+ atom to form OMg5Ga octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg5Ga octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 0–2°. 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 0–2°. Both O–Mg bond lengths are 2.14 Å. In the fifth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.09 Å) and two longer (2.10 Å) O–Mg bond lengths. In the sixth 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 0–2°. There are two shorter (2.12 Å) and two longer (2.14 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 equivalent OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to one Li1+, four equivalent Mg2+, and one Ga3+ atom to form OLiMg4Ga octahedra that share corners with six OLiMg4Ga octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg4Ga octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg4Ga octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. All O–Mg bond lengths are 2.13 Å. In the eleventh 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 twelfth 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 0–2°. The O–Mg bond length is 2.12 Å. In the thirteenth 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 0–2°. There are three shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 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 5–8°. There are a spread of Li–O bond distances ranging from 2.04–2.29 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 four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.03–2.35 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.06–2.35 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 two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.05–2.28 Å. In the sixth 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 two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 2.07–2.24 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 four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.10–2.27 Å. In the eighth 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.05–2.12 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, 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 1–8°. There are a spread of Mn–O bond distances ranging from 1.95–1.97 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 six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.88–2.01 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 CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.88–2.19 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.95–2.08 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 three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Co–O bond distances ranging from 2.04–2.14 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Co–O bond distances ranging from 1.90–2.12 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the seventh 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 2–5°. In the eighth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fourteenth O2- site, O2- is bonded to three Li1+, two 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 2–9°. In the fifteenth 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 2–7°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are seven 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are three shorter (2.09 Å) and three longer (2.23 Å) Li–O bond lengths. In the second 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, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are three shorter (2.02 Å) and three longer (2.31 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are three shorter (2.05 Å) and three longer (2.21 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are three shorter (2.10 Å) and three longer (2.23 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are three shorter (2.10 Å) and three longer (2.22 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.14 Å) and three longer (2.15 Å) Li–O bond lengths. In the seventh 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 2–4°. All Li–O bond lengths are 2.10 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 six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are three shorter (2.03 Å) and three longer (2.05 Å) Mn–O bond lengths. In the second 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 six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are three shorter (2.03 Å) and three longer (2.05 Å) Mn–O bond lengths. There are three inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ 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 equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are three shorter (1.97 Å) and three longer (2.03 Å) Co–O bond lengths. In the second Co+2.67+ site, Co+2.67+ 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 equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are three shorter (2.02 Å) and three longer (2.06 Å) Co–O bond lengths. In the third Co+2.67+ site, Co+2.67+ 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 equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are three shorter (1.99 Å) and three longer (2.03 Å) Co–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the second O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi6 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fourth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the ninth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the eleventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the twelfth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the second 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 MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the third 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.06–2.51 Å. In the fourth 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.05–2.49 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four MnO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.08–2.37 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.07–2.29 Å. In the seventh 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 MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.06–2.18 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 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 six LiO6 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 2–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Co–O bond distances ranging from 1.89–2.10 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 three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Co–O bond distances ranging from 1.89–2.18 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 two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Co–O bond distances ranging from 1.88–2.19 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Co–O bond distances ranging from 1.90–2.13 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 2.01–2.05 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the third O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of distorted corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the seventh O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the eighth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four 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 6–11°. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 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 7–13°. There are a spread of Li–O bond distances ranging from 2.00–2.19 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.08–2.23 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 CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.03–2.35 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, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.01–2.28 Å. In the sixth 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, 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 2–14°. There are a spread of Li–O bond distances ranging from 2.05–2.39 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.08–2.16 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.88–2.02 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 six LiO6 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 1–8°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Co–O bond distances ranging from 1.88–2.17 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, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Co–O bond distances ranging from 1.96–2.11 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 two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Co–O bond distances ranging from 1.87–2.18 Å. In the fourth 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 three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Co–O bond distances ranging from 1.89–2.17 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Co–O bond distances ranging from 1.87–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ 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 1–8°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the third O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifth O2- site, O2- is bonded to three Li1+, two 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 3–5°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ 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 3–9°. In the seventh 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 4–8°. In the eighth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the ninth O2- site, O2- is bonded to three Li1+, two 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 3–6°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fourteenth 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 1–10°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–12°.

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn3CoO10 by Materials Project

Li6Mn3CoO10 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm 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 six MnO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.16–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.15–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.00–2.47 Å. In the fourth 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, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.05–2.46 Å. In the fifth 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, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.07–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.10–2.31 Å. There are three inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Mn–O bond distances ranging from 1.95–2.30 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.95–2.24 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.96–2.30 Å. Co3+ 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 equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Co–O bond distances ranging from 1.99–2.16 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+3.67+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+3.67+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+3.67+ atoms to form a mixture of distorted corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the fourth O2- site, O2- is bonded to six Li1+ atoms to form a mixture of corner and edge-sharing OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co3+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+3.67+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+3.67+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the ninth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co3+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+3.67+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. 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 a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five 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 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.20 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 five CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.04–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 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 0–10°. There are a spread of Li–O bond distances ranging from 2.08–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent LiO6 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 6–15°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.04–2.20 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, 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 1–10°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 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 six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mn–O bond distances ranging from 1.90–2.02 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, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Co–O bond distances ranging from 1.90–2.19 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 three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.92–2.15 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, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Co–O bond distances ranging from 1.95–2.20 Å. In the fourth 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 CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Co–O bond distances ranging from 1.87–2.21 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.93–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the eighth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the ninth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the thirteenth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗