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DOE OSTI2020

Materials Data on La17Al4(Si3N11)3 by Materials Project

La17Al4(Si3N11)3 crystallizes in the cubic F-43m space group. The structure is three-dimensional. there are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve equivalent N3- atoms to form LaN12 cuboctahedra that share corners with twelve equivalent LaN6 pentagonal pyramids, faces with four equivalent LaN6 octahedra, and faces with four equivalent SiN4 tetrahedra. All La–N bond lengths are 3.03 Å. In the second La3+ site, La3+ is bonded to six N3- atoms to form distorted LaN6 pentagonal pyramids that share corners with two equivalent LaN12 cuboctahedra, corners with two equivalent LaN6 octahedra, corners with four equivalent LaN6 pentagonal pyramids, corners with two equivalent AlN4 tetrahedra, corners with two equivalent SiN4 tetrahedra, and edges with three SiN4 tetrahedra. The corner-sharing octahedral tilt angles are 89°. There are a spread of La–N bond distances ranging from 2.49–2.62 Å. In the third La3+ site, La3+ is bonded in a body-centered cubic geometry to eight N3- atoms. There are four shorter (2.67 Å) and four longer (2.83 Å) La–N bond lengths. In the fourth La3+ site, La3+ is bonded to six N3- atoms to form distorted LaN6 octahedra that share corners with three equivalent LaN6 pentagonal pyramids, corners with six SiN4 tetrahedra, edges with three equivalent LaN6 octahedra, and a faceface with one LaN12 cuboctahedra. There are three shorter (2.46 Å) and three longer (2.70 Å) La–N bond lengths. Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three equivalent LaN6 pentagonal pyramids, corners with three equivalent AlN4 tetrahedra, and corners with three equivalent SiN4 tetrahedra. There is three shorter (1.89 Å) and one longer (1.90 Å) Al–N bond length. There are three inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three equivalent LaN6 octahedra, a cornercorner with one SiN4 tetrahedra, edges with three equivalent LaN6 pentagonal pyramids, and a faceface with one LaN12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. There is three shorter (1.74 Å) and one longer (1.82 Å) Si–N bond length. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three equivalent LaN6 octahedra, corners with three equivalent LaN6 pentagonal pyramids, and corners with three equivalent AlN4 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There is one shorter (1.73 Å) and three longer (1.78 Å) Si–N bond length. In the third Si4+ site, Si4+ is bonded to four equivalent N3- atoms to form SiN4 tetrahedra that share corners with four equivalent SiN4 tetrahedra and edges with six equivalent LaN6 pentagonal pyramids. All Si–N bond lengths are 1.75 Å. There are five inequivalent N3- sites. In the first N3- site, N3- is bonded to three La3+, one Al3+, and one Si4+ atom to form distorted NLa3AlSi trigonal bipyramids that share corners with two NLa3Si tetrahedra, corners with five NLa3AlSi trigonal bipyramids, and edges with four equivalent NLa3AlSi trigonal bipyramids. In the second N3- site, N3- is bonded to three equivalent La3+ and two Si4+ atoms to form NLa3Si2 trigonal bipyramids that share corners with six equivalent NLa3AlSi trigonal bipyramids and edges with three equivalent NLa3Si2 trigonal bipyramids. In the third N3- site, N3- is bonded to four equivalent Al3+ atoms to form corner-sharing NAl4 tetrahedra. In the fourth N3- site, N3- is bonded to three equivalent La3+ and one Si4+ atom to form distorted NLa3Si tetrahedra that share corners with three equivalent NLa3AlSi trigonal bipyramids and edges with three equivalent NLa3Si tetrahedra. In the fifth N3- site, N3- is bonded in a 1-coordinate geometry to five La3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho2S3 by Materials Project

Ho2S3 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are six inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to seven S2- atoms to form distorted HoS7 pentagonal bipyramids that share corners with three HoS6 octahedra, corners with two equivalent HoS7 pentagonal bipyramids, edges with two equivalent HoS6 octahedra, edges with six HoS7 pentagonal bipyramids, and a faceface with one HoS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ho–S bond distances ranging from 2.72–2.95 Å. In the second Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with four HoS6 octahedra, corners with five HoS7 pentagonal bipyramids, edges with four equivalent HoS6 octahedra, and a faceface with one HoS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 63–68°. There are a spread of Ho–S bond distances ranging from 2.68–2.83 Å. In the third Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with four HoS6 octahedra, corners with two HoS7 pentagonal bipyramids, edges with three HoS6 octahedra, and edges with four HoS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 14–63°. There are a spread of Ho–S bond distances ranging from 2.68–2.85 Å. In the fourth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with four HoS6 octahedra, corners with three HoS7 pentagonal bipyramids, edges with three HoS6 octahedra, and edges with four HoS7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 14–68°. There are a spread of Ho–S bond distances ranging from 2.63–2.82 Å. In the fifth Ho3+ site, Ho3+ is bonded to seven S2- atoms to form distorted HoS7 pentagonal bipyramids that share corners with five HoS6 octahedra, edges with four HoS6 octahedra, edges with four equivalent HoS7 pentagonal bipyramids, and a faceface with one HoS6 octahedra. The corner-sharing octahedra tilt angles range from 32–49°. There are a spread of Ho–S bond distances ranging from 2.68–2.93 Å. In the sixth Ho3+ site, Ho3+ is bonded to seven S2- atoms to form distorted HoS7 pentagonal bipyramids that share corners with two HoS6 octahedra, corners with two equivalent HoS7 pentagonal bipyramids, edges with two equivalent HoS6 octahedra, edges with six HoS7 pentagonal bipyramids, and a faceface with one HoS7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 33–34°. There are a spread of Ho–S bond distances ranging from 2.72–2.94 Å. There are nine inequivalent S2- sites. In the first S2- site, S2- is bonded to four Ho3+ atoms to form SHo4 trigonal pyramids that share a cornercorner with one SHo5 square pyramid, corners with three equivalent SHo4 tetrahedra, corners with two equivalent SHo5 trigonal bipyramids, corners with two equivalent SHo4 trigonal pyramids, edges with three equivalent SHo5 trigonal bipyramids, and edges with two equivalent SHo4 trigonal pyramids. In the second S2- site, S2- is bonded to four Ho3+ atoms to form distorted SHo4 trigonal pyramids that share corners with two equivalent SHo5 square pyramids, corners with three SHo5 trigonal bipyramids, corners with six SHo4 trigonal pyramids, an edgeedge with one SHo5 square pyramid, edges with two equivalent SHo5 trigonal bipyramids, and edges with two equivalent SHo4 trigonal pyramids. In the third S2- site, S2- is bonded to four Ho3+ atoms to form distorted SHo4 trigonal pyramids that share corners with two equivalent SHo5 square pyramids, corners with five SHo5 trigonal bipyramids, corners with six SHo4 trigonal pyramids, an edgeedge with one SHo5 trigonal bipyramid, and edges with four SHo4 trigonal pyramids. In the fourth S2- site, S2- is bonded to five Ho3+ atoms to form distorted SHo5 trigonal bipyramids that share corners with four equivalent SHo4 tetrahedra, corners with five SHo4 trigonal pyramids, edges with two equivalent SHo5 square pyramids, an edgeedge with one SHo4 tetrahedra, edges with two equivalent SHo5 trigonal bipyramids, and edges with three equivalent SHo4 trigonal pyramids. In the fifth S2- site, S2- is bonded to five Ho3+ atoms to form SHo5 square pyramids that share a cornercorner with one SHo4 tetrahedra, corners with seven SHo4 trigonal pyramids, edges with two equivalent SHo5 square pyramids, edges with two equivalent SHo4 tetrahedra, edges with two equivalent SHo5 trigonal bipyramids, and an edgeedge with one SHo4 trigonal pyramid. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ho3+ atoms. In the seventh S2- site, S2- is bonded to four Ho3+ atoms to form distorted SHo4 tetrahedra that share a cornercorner with one SHo5 square pyramid, corners with two equivalent SHo4 tetrahedra, corners with four equivalent SHo5 trigonal bipyramids, corners with four SHo4 trigonal pyramids, edges with two equivalent SHo5 square pyramids, edges with two equivalent SHo4 tetrahedra, and an edgeedge with one SHo5 trigonal bipyramid. In the eighth S2- site, S2- is bonded to four Ho3+ atoms to form distorted SHo4 trigonal pyramids that share corners with two equivalent SHo5 square pyramids, a cornercorner with one SHo4 tetrahedra, corners with two equivalent SHo5 trigonal bipyramids, corners with eight SHo4 trigonal pyramids, and edges with three equivalent SHo5 trigonal bipyramids. In the ninth S2- site, S2- is bonded to five Ho3+ atoms to form distorted SHo5 trigonal bipyramids that share corners with seven SHo4 trigonal pyramids, edges with four equivalent SHo5 trigonal bipyramids, and edges with six SHo4 trigonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on MgTiO2 by Materials Project

MgTiO2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with four equivalent TiO6 octahedra, corners with four equivalent TiO5 trigonal bipyramids, edges with two equivalent MgO5 square pyramids, an edgeedge with one TiO5 trigonal bipyramid, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Mg–O bond distances ranging from 2.04–2.12 Å. In the second Mg2+ site, Mg2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 2.08–2.17 Å. There are two inequivalent Ti2+ sites. In the first Ti2+ site, Ti2+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with four equivalent TiO6 octahedra, corners with four equivalent MgO5 square pyramids, an edgeedge with one MgO5 square pyramid, and edges with two equivalent TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.99–2.13 Å. In the second Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent MgO5 square pyramids, corners with four equivalent TiO5 trigonal bipyramids, edges with four equivalent TiO6 octahedra, and a faceface with one MgO5 square pyramid. There are a spread of Ti–O bond distances ranging from 2.19–2.24 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Ti2+ atoms to form distorted OMgTi3 tetrahedra that share a cornercorner with one OMg3Ti3 pentagonal pyramid, corners with four equivalent OMg3Ti2 square pyramids, corners with two equivalent OMgTi3 tetrahedra, corners with four equivalent OMg2Ti3 trigonal bipyramids, edges with two equivalent OMg3Ti3 pentagonal pyramids, and an edgeedge with one OMg3Ti2 square pyramid. In the second O2- site, O2- is bonded to two equivalent Mg2+ and three Ti2+ atoms to form distorted OMg2Ti3 trigonal bipyramids that share corners with two equivalent OMg3Ti3 pentagonal pyramids, corners with four equivalent OMgTi3 tetrahedra, edges with three equivalent OMg3Ti3 pentagonal pyramids, edges with two equivalent OMg3Ti2 square pyramids, and edges with two equivalent OMg2Ti3 trigonal bipyramids. In the third O2- site, O2- is bonded to three Mg2+ and two equivalent Ti2+ atoms to form OMg3Ti2 square pyramids that share corners with three equivalent OMg3Ti3 pentagonal pyramids, corners with four equivalent OMgTi3 tetrahedra, an edgeedge with one OMg3Ti3 pentagonal pyramid, edges with two equivalent OMg3Ti2 square pyramids, an edgeedge with one OMgTi3 tetrahedra, and edges with two equivalent OMg2Ti3 trigonal bipyramids. In the fourth O2- site, O2- is bonded to three Mg2+ and three equivalent Ti2+ atoms to form distorted OMg3Ti3 pentagonal pyramids that share corners with three equivalent OMg3Ti2 square pyramids, a cornercorner with one OMgTi3 tetrahedra, corners with two equivalent OMg2Ti3 trigonal bipyramids, edges with four equivalent OMg3Ti3 pentagonal pyramids, an edgeedge with one OMg3Ti2 square pyramid, edges with two equivalent OMgTi3 tetrahedra, and edges with three equivalent OMg2Ti3 trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CaCoO2 by Materials Project

CaCoO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CoO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with two equivalent CoO5 square pyramids. There are a spread of Ca–O bond distances ranging from 2.24–2.70 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.66 Å. In the third Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.18–3.02 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.54 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Co–O bond distances ranging from 1.93–2.04 Å. In the second Co2+ site, Co2+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent CoO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with two equivalent CoO5 square pyramids. There are a spread of Co–O bond distances ranging from 1.98–2.11 Å. In the third Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CaO6 octahedra, corners with two equivalent CoO5 square pyramids, and corners with two equivalent CoO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Co–O bond distances ranging from 1.87–2.04 Å. In the fourth Co2+ site, Co2+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ca2+ and one Co2+ atom to form distorted OCa4Co trigonal bipyramids that share a cornercorner with one OCaCo3 tetrahedra, corners with two equivalent OCa5 trigonal bipyramids, edges with two equivalent OCa4Co trigonal bipyramids, and edges with two equivalent OCa2Co2 trigonal pyramids. In the second O2- site, O2- is bonded to five Ca2+ atoms to form distorted OCa5 trigonal bipyramids that share corners with two equivalent OCa2Co3 square pyramids, corners with two equivalent OCaCo3 tetrahedra, corners with two equivalent OCa4Co trigonal bipyramids, corners with two equivalent OCa2Co2 trigonal pyramids, an edgeedge with one OCa2Co3 square pyramid, and edges with two equivalent OCa5 trigonal bipyramids. In the third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ca2+ and three Co2+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Ca2+ and three Co2+ atoms to form distorted OCa2Co3 square pyramids that share corners with two equivalent OCa5 trigonal bipyramids, edges with two equivalent OCa2Co3 square pyramids, edges with two equivalent OCaCo3 tetrahedra, and an edgeedge with one OCa5 trigonal bipyramid. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Ca2+ and two equivalent Co2+ atoms. In the sixth O2- site, O2- is bonded to one Ca2+ and three Co2+ atoms to form OCaCo3 tetrahedra that share corners with two equivalent OCaCo3 tetrahedra, corners with three OCa4Co trigonal bipyramids, corners with two equivalent OCa2Co2 trigonal pyramids, and edges with two equivalent OCa2Co3 square pyramids. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ca2+ and two equivalent Co2+ atoms. In the eighth O2- site, O2- is bonded to two Ca2+ and two equivalent Co2+ atoms to form OCa2Co2 trigonal pyramids that share corners with two equivalent OCaCo3 tetrahedra, corners with two equivalent OCa5 trigonal bipyramids, corners with two equivalent OCa2Co2 trigonal pyramids, and edges with two equivalent OCa4Co trigonal bipyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr2Ca6Fe3Co5O24 by Materials Project

Sr2Ca6Fe3Co5O24 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five CoO6 octahedra. There are seven shorter (2.74 Å) and five longer (2.76 Å) Sr–O bond lengths. There are two inequivalent Ca sites. In the first Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.66–2.75 Å. In the second Ca site, Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with three FeO6 octahedra, and faces with five CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.63–2.72 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent FeO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.89–1.92 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CoO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. There are four inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent FeO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Co–O bond distances ranging from 1.87–2.00 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CoO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CoO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.82–1.96 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with two equivalent SrO12 cuboctahedra, and faces with six CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.84–2.02 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to one Sr, three Ca, one Fe, and one Co atom to form distorted OSrCa3FeCo octahedra that share corners with fourteen OSrCa3FeCo octahedra, edges with four equivalent OSrCa3FeCo octahedra, and faces with six OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the second O site, O is bonded to one Sr, three Ca, one Fe, and one Co atom to form distorted OSrCa3FeCo octahedra that share corners with sixteen OSrCa3FeCo octahedra, edges with four OSrCa3FeCo octahedra, and faces with five OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the third O site, O is bonded to one Sr, three Ca, and two Co atoms to form distorted OSrCa3Co2 octahedra that share corners with eighteen OSrCa3FeCo octahedra, edges with four equivalent OSrCa3FeCo octahedra, and faces with four OSr2Ca2FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the fourth O site, O is bonded to two equivalent Sr, two equivalent Ca, and two Fe atoms to form distorted OSr2Ca2Fe2 octahedra that share corners with eighteen OSrCa3FeCo octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with seven OSrCa3FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the fifth O site, O is bonded to two equivalent Sr, two equivalent Ca, one Fe, and one Co atom to form distorted OSr2Ca2FeCo octahedra that share corners with sixteen OSrCa3FeCo octahedra, edges with four OSr2Ca2Fe2 octahedra, and faces with seven OSrCa3FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the sixth O site, O is bonded to four Ca and two Fe atoms to form a mixture of distorted face and corner-sharing OCa4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the seventh O site, O is bonded in a distorted linear geometry to four Ca, one Fe, and one Co atom. In the eighth O site, O is bonded to two equivalent Sr, two equivalent Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with eighteen OSrCa3FeCo octahedra, edges with four OSr2Ca2Fe2 octahedra, and faces with six OSrCa3FeCo octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the ninth O site, O is bonded to two equivalent Sr, two equivalent Ca, and two Co atoms to form distorted OSr2Ca2Co2 octahedra that share corners with eighteen OSrCa3FeCo octahedra, edges with four OSr2Ca2FeCo octahedra, and faces with six OSrCa3FeCo octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the tenth O site, O is bonded in a distorted linear geometry to four Ca and two Co atoms. In the eleventh O site, O is bonded in a distorted linear geometry to four Ca and two Co atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Sr3CaCo3CuO12 by Materials Project

Sr3CaCo3CuO12 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pma2 space group. The structure is three-dimensional. there are three inequivalent Sr sites. In the first Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, faces with two equivalent CuO6 octahedra, and faces with six CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.75 Å. In the second Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent CuO6 octahedra, and faces with six CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.78 Å. In the third Sr site, Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four equivalent CaO12 cuboctahedra, faces with two equivalent CuO6 octahedra, and faces with six CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.74 Å. Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight equivalent SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with two equivalent CuO6 octahedra, and faces with six CoO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.65–2.74 Å. There are three inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Co–O bond distances ranging from 1.88–1.95 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six CoO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Co–O bond distances ranging from 1.90–1.94 Å. Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four CoO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There is two shorter (1.94 Å) and four longer (1.98 Å) Cu–O bond length. There are ten inequivalent O sites. In the first O site, O is bonded to three Sr, one Ca, and two equivalent Cu atoms to form distorted OSr3CaCu2 octahedra that share corners with ten OSr3CaCu2 octahedra, edges with four OSr3CaCo2 octahedra, and faces with six OSr3CaCoCu octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the second O site, O is bonded to three Sr, one Ca, and two equivalent Co atoms to form distorted OSr3CaCo2 octahedra that share corners with eighteen OSr3CaCo2 octahedra, edges with four OSr3CaCu2 octahedra, and faces with two equivalent OSr4CoCu octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the third O site, O is bonded to three Sr, one Ca, and two equivalent Co atoms to form distorted OSr3CaCo2 octahedra that share corners with ten OSr3CaCo2 octahedra, edges with four OSr3CaCu2 octahedra, and faces with six OSr3CaCoCu octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the fourth O site, O is bonded to three Sr, one Ca, and two equivalent Co atoms to form distorted OSr3CaCo2 octahedra that share corners with eighteen OSr3CaCu2 octahedra, edges with four OSr3CaCo2 octahedra, and faces with two equivalent OSr4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fifth O site, O is bonded to three Sr, one Ca, one Co, and one Cu atom to form distorted OSr3CaCoCu octahedra that share corners with fourteen OSr3CaCo2 octahedra, edges with two equivalent OSr3CaCoCu octahedra, and faces with six OSr3CaCu2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the sixth O site, O is bonded in a distorted linear geometry to three Sr, one Ca, and two Co atoms. In the seventh O site, O is bonded to four Sr, one Co, and one Cu atom to form distorted OSr4CoCu octahedra that share corners with sixteen OSr3CaCo2 octahedra, edges with four OSr4CoCu octahedra, and faces with six OSr3CaCu2 octahedra. The corner-sharing octahedra tilt angles range from 2–62°. In the eighth O site, O is bonded in a distorted linear geometry to two equivalent Sr, two equivalent Ca, one Co, and one Cu atom. In the ninth O site, O is bonded to four Sr and two Co atoms to form distorted OSr4Co2 octahedra that share corners with sixteen OSr3CaCu2 octahedra, edges with four OSr4CoCu octahedra, and faces with six OSr3CaCoCu octahedra. The corner-sharing octahedra tilt angles range from 2–61°. In the tenth O site, O is bonded in a distorted linear geometry to two equivalent Sr, two equivalent Ca, and two Co atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

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 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 2–9°. There are a spread of Li–O bond distances ranging from 2.12–2.28 Å. 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 five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.02–2.28 Å. In the third 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 4–8°. There are a spread of Li–O bond distances ranging from 2.10–2.18 Å. 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 two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, 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 7–13°. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.11–2.31 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 two equivalent MnO6 octahedra, edges with four 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 2.08–2.25 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.09–2.18 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 CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.04–2.18 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 MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.94–2.19 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 4–7°. There are a spread of Mn–O bond distances ranging from 1.96–2.23 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.92–2.19 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 two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.96–2.09 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 5–8°. There are a spread of Co–O bond distances ranging from 1.95–2.11 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 equivalent CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Co–O bond distances ranging from 1.78–1.98 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 6–10°. There are a spread of Co–O bond distances ranging from 1.99–2.09 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth 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 fifth 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 1–8°. In the sixth 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 0–8°. 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 1–2°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth 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 0–6°. 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 1–6°. In the eleventh 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 octahedral tilt angles are 0°. In the twelfth 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 1–2°. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. 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 OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifteenth 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth 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 0–2°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ca2Tl2O5 by Materials Project

Ca2Tl2O5 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.84 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with three TlO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with five TlO6 octahedra. The corner-sharing octahedra tilt angles range from 14–63°. There are a spread of Ca–O bond distances ranging from 2.26–2.48 Å. There are two inequivalent Tl3+ sites. In the first Tl3+ site, Tl3+ is bonded to six O2- atoms to form TlO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with two equivalent TlO6 octahedra, edges with three equivalent CaO6 octahedra, and edges with five TlO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Tl–O bond distances ranging from 2.17–2.44 Å. In the second Tl3+ site, Tl3+ is bonded to six O2- atoms to form TlO6 octahedra that share a cornercorner with one CaO6 octahedra, corners with two equivalent TlO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with five TlO6 octahedra. The corner-sharing octahedra tilt angles range from 2–63°. There are a spread of Tl–O bond distances ranging from 2.14–2.42 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to three Ca2+ and one Tl3+ atom to form OCa3Tl tetrahedra that share a cornercorner with one OCa2Tl4 octahedra, corners with three equivalent OCa2Tl3 square pyramids, corners with two equivalent OCa3Tl tetrahedra, corners with eight OCa2Tl3 trigonal bipyramids, edges with two equivalent OCa2Tl4 octahedra, and edges with two OCa2Tl3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. In the second O2- site, O2- is bonded to two equivalent Ca2+ and three Tl3+ atoms to form distorted OCa2Tl3 trigonal bipyramids that share corners with two equivalent OCa2Tl4 octahedra, corners with four equivalent OCa3Tl tetrahedra, corners with three equivalent OCa4Tl trigonal bipyramids, edges with three equivalent OCa2Tl4 octahedra, edges with two equivalent OCa2Tl3 square pyramids, an edgeedge with one OCa3Tl tetrahedra, and edges with three OCa2Tl3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°. In the third O2- site, O2- is bonded to four Ca2+ and one Tl3+ atom to form distorted OCa4Tl trigonal bipyramids that share corners with two equivalent OCa2Tl4 octahedra, corners with four equivalent OCa2Tl3 square pyramids, corners with four equivalent OCa3Tl tetrahedra, corners with three equivalent OCa2Tl3 trigonal bipyramids, edges with two equivalent OCa2Tl4 octahedra, an edgeedge with one OCa2Tl3 square pyramid, an edgeedge with one OCa3Tl tetrahedra, and edges with three OCa2Tl3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 43°. In the fourth O2- site, O2- is bonded to two Ca2+ and four Tl3+ atoms to form OCa2Tl4 octahedra that share corners with two equivalent OCa2Tl3 square pyramids, a cornercorner with one OCa3Tl tetrahedra, corners with four OCa2Tl3 trigonal bipyramids, edges with two equivalent OCa2Tl4 octahedra, edges with three equivalent OCa2Tl3 square pyramids, edges with two equivalent OCa3Tl tetrahedra, and edges with five OCa2Tl3 trigonal bipyramids. In the fifth O2- site, O2- is bonded to two equivalent Ca2+ and three Tl3+ atoms to form OCa2Tl3 square pyramids that share corners with two equivalent OCa2Tl4 octahedra, corners with three equivalent OCa3Tl tetrahedra, corners with four equivalent OCa4Tl trigonal bipyramids, edges with three equivalent OCa2Tl4 octahedra, edges with two equivalent OCa2Tl3 square pyramids, and edges with three OCa2Tl3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 7°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Li–O bond distances ranging from 2.10–2.17 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 4–7°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the third 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 2.08–2.39 Å. 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 two CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are four shorter (2.12 Å) and two longer (2.14 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, an edgeedge with one MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.04–2.35 Å. In the sixth 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, an edgeedge with one MnO6 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 1.99–2.47 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form edge-sharing LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.27 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, an edgeedge with one 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 ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.11–2.13 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 six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 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 1–9°. 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, 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 1–10°. There are a spread of Co–O bond distances ranging from 1.99–2.18 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 4–11°. There are a spread of Co–O bond distances ranging from 2.05–2.19 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 two equivalent 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 1.93–2.19 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.43 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.41 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–14°. 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. 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 1–7°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth 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 0–10°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighth 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 2–17°. 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 2–7°. 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 2–8°. In the eleventh 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°. 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 1–8°. In the thirteenth 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 7–10°. In the fourteenth 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–19°. In the fifteenth 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 0–14°. In the sixteenth 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 0–17°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four 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 2–10°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with 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 1–10°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. 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 1–10°. There are a spread of Li–O bond distances ranging from 2.05–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to six equivalent O2- atoms to form a mixture of corner and edge-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are four shorter (2.08 Å) and two longer (2.18 Å) Li–O bond lengths. 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 7–10°. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. There are two inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six equivalent O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are four shorter (2.04 Å) and two longer (2.09 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 1–10°. There are a spread of Co–O bond distances ranging from 2.01–2.14 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+4.50+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OLi6 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth 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 0–9°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on U2(AlSi)3 by Materials Project

U2(AlSi)3 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. U is bonded to six Al and six Si atoms to form UAl6Si6 cuboctahedra that share corners with twelve equivalent UAl6Si6 cuboctahedra, edges with four equivalent SiU4Al8 cuboctahedra, edges with twelve AlU4Al2Si6 cuboctahedra, faces with two equivalent SiU4Al8 cuboctahedra, faces with six equivalent UAl6Si6 cuboctahedra, and faces with six AlU4Al2Si6 cuboctahedra. All U–Al bond lengths are 2.98 Å. There are a spread of U–Si bond distances ranging from 2.83–2.95 Å. There are two inequivalent Al sites. In the first Al site, Al is bonded to four equivalent U, two equivalent Al, and six Si atoms to form AlU4Al2Si6 cuboctahedra that share corners with twelve equivalent AlU4Al2Si6 cuboctahedra, edges with four equivalent AlU4Al4Si4 cuboctahedra, edges with four equivalent SiU4Al8 cuboctahedra, edges with eight equivalent UAl6Si6 cuboctahedra, faces with two equivalent SiU4Al8 cuboctahedra, faces with four equivalent UAl6Si6 cuboctahedra, and faces with eight AlU4Al2Si6 cuboctahedra. Both Al–Al bond lengths are 2.89 Å. There are a spread of Al–Si bond distances ranging from 2.88–2.93 Å. In the second Al site, Al is bonded to four equivalent U, four equivalent Al, and four equivalent Si atoms to form AlU4Al4Si4 cuboctahedra that share corners with four equivalent AlU4Al4Si4 cuboctahedra, edges with eight equivalent UAl6Si6 cuboctahedra, edges with eight equivalent AlU4Al2Si6 cuboctahedra, faces with four equivalent UAl6Si6 cuboctahedra, faces with four equivalent SiU4Al8 cuboctahedra, and faces with eight AlU4Al2Si6 cuboctahedra. All Al–Si bond lengths are 2.98 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded in a distorted body-centered cubic geometry to four equivalent U and four equivalent Al atoms. In the second Si site, Si is bonded to four equivalent U and eight Al atoms to form SiU4Al8 cuboctahedra that share corners with four equivalent SiU4Al8 cuboctahedra, edges with eight equivalent UAl6Si6 cuboctahedra, edges with eight equivalent AlU4Al2Si6 cuboctahedra, faces with four equivalent UAl6Si6 cuboctahedra, faces with four equivalent SiU4Al8 cuboctahedra, and faces with eight AlU4Al2Si6 cuboctahedra. In the third Si site, Si is bonded in a distorted body-centered cubic geometry to four equivalent U and four equivalent Al atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 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 2.03–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.22 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 0–6°. There are a spread of Li–O bond distances ranging from 2.10–2.17 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 five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 2.04–2.39 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, edges with four equivalent MnO6 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 2.09–2.14 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, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.09–2.38 Å. In the seventh 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 5–12°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the eighth 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 1–13°. There are a spread of Li–O bond distances ranging from 2.01–2.37 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 5–12°. There are a spread of Li–O bond distances ranging from 2.07–2.13 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 3–8°. There are a spread of Mn–O bond distances ranging from 1.83–2.06 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 0–9°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 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 3–8°. There are a spread of Co–O bond distances ranging from 2.01–2.06 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 2.03–2.07 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 0–11°. There are a spread of Co–O bond distances ranging from 2.01–2.17 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Co–O bond distances ranging from 1.82–2.20 Å. In the fifth 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 5–13°. There are a spread of Co–O bond distances ranging from 1.76–2.22 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 2–6°. 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourth 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 1–6°. In the fifth O2- site, O2- is bonded to three Li1+, two equivalent 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 0–9°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form distorted OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the seventh 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 OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 6–11°. In the eighth 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. 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 corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the tenth 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 1–3°. In the eleventh 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 1–9°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent 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 0–11°. In the fourteenth 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. 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 6–12°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four equivalent 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 4–8°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 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 Li–O bond distances ranging from 2.04–2.19 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Li–O bond distances ranging from 2.05–2.50 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 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 3–11°. There are a spread of Li–O bond distances ranging from 2.10–2.26 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Li–O bond distances ranging from 1.99–2.24 Å. In the sixth 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, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Li–O bond distances ranging from 2.05–2.25 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, a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.17 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 six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Mn–O bond distances ranging from 1.92–2.02 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, 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 5–7°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 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 3–11°. There are a spread of Co–O bond distances ranging from 1.98–2.19 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Co–O bond distances ranging from 1.93–2.26 Å. In the third Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.44 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.78–2.42 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 3–11°. There are a spread of Co–O bond distances ranging from 1.98–2.16 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the second 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 OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of distorted edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fourth 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 0–3°. In the fifth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. 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 OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–20°. In the ninth 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 OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent 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 1–17°. In the fourteenth 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–20°. 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 2–6°. In the sixteenth 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 1–3°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 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 two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.02–2.28 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted 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 equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 1.98–2.49 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 equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–O bond distances ranging from 1.99–2.28 Å. In the fourth 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 four 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 2.03–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent 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 5–16°. There are a spread of Li–O bond distances ranging from 2.06–2.43 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.00–2.28 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 5–12°. There are a spread of Li–O bond distances ranging from 2.06–2.20 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, 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 5–13°. There are a spread of Mn–O bond distances ranging from 1.83–2.08 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 1–14°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 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 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 6–13°. There are a spread of Co–O bond distances ranging from 1.91–2.10 Å. In the second 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Co–O bond distances ranging from 1.80–2.30 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 5–12°. There are a spread of Co–O bond distances ranging from 1.92–2.08 Å. There are twelve 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 OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–15°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.67+ 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 4–11°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.67+ 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 1–10°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ 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 2–18°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ 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 3–10°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.67+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the eighth 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 OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.67+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 2–18°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.67+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–11°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li8Cr3SbO12 by Materials Project

Li8Cr3SbO12 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent SbO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent SbO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent SbO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Li–O bond distances ranging from 2.14–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO6 octahedra, edges with three LiO6 octahedra, edges with three CrO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, corners with six CrO6 octahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, edges with three LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Li–O bond distances ranging from 2.13–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with eight LiO6 octahedra, an edgeedge with one SbO6 octahedra, edges with five LiO6 octahedra, and faces with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. There are three inequivalent Cr+3.67+ sites. In the first Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–52°. There are a spread of Cr–O bond distances ranging from 1.89–2.04 Å. In the second Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–55°. There are a spread of Cr–O bond distances ranging from 1.88–2.09 Å. In the third Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent SbO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with ten LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four LiO6 octahedra, and faces with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Sb–O bond distances ranging from 2.00–2.03 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Cr+3.67+, and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLi4CrSb pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+3.67+, and one Sb5+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+3.67+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+3.67+, and one Sb5+ atom. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi4Cr2 pentagonal pyramids. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+3.67+, and one Sb5+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+3.67+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Cr+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+, one Cr+3.67+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr+3.67+, and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLi4CrSb pentagonal pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on V2Co9Mo by Materials Project

V2MoCo9 is beta Cu3Ti-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent V sites. In the first V site, V is bonded to twelve Co atoms to form VCo12 cuboctahedra that share corners with three equivalent MoCo12 cuboctahedra, corners with six equivalent VCo12 cuboctahedra, corners with six CoV3Co8Mo cuboctahedra, edges with twenty-one CoV3Co8Mo cuboctahedra, faces with three equivalent MoCo12 cuboctahedra, faces with four equivalent VCo12 cuboctahedra, and faces with twelve CoV3Co8Mo cuboctahedra. There are a spread of V–Co bond distances ranging from 2.47–2.53 Å. In the second V site, V is bonded to twelve Co atoms to form VCo12 cuboctahedra that share corners with six equivalent VCo12 cuboctahedra, corners with twelve CoV3Co8Mo cuboctahedra, edges with eighteen CoV3Co8Mo cuboctahedra, faces with four equivalent VCo12 cuboctahedra, faces with four equivalent MoCo12 cuboctahedra, and faces with twelve CoV3Co8Mo cuboctahedra. There are six shorter (2.51 Å) and six longer (2.52 Å) V–Co bond lengths. Mo is bonded to twelve Co atoms to form MoCo12 cuboctahedra that share corners with three equivalent VCo12 cuboctahedra, corners with six equivalent MoCo12 cuboctahedra, corners with six equivalent CoV3Co8Mo cuboctahedra, edges with twenty-one CoV3Co8Mo cuboctahedra, faces with seven VCo12 cuboctahedra, and faces with twelve CoV3Co8Mo cuboctahedra. There are a spread of Mo–Co bond distances ranging from 2.50–2.56 Å. There are seven inequivalent Co sites. In the first Co site, Co is bonded to three V, one Mo, and eight Co atoms to form distorted CoV3Co8Mo cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with thirteen CoV3Co8Mo cuboctahedra, edges with three equivalent MoCo12 cuboctahedra, edges with four VCo12 cuboctahedra, edges with fourteen CoV3Co8Mo cuboctahedra, a faceface with one MoCo12 cuboctahedra, faces with three VCo12 cuboctahedra, and faces with fifteen CoV3Co8Mo cuboctahedra. The Co–V bond length is 2.51 Å. There are a spread of Co–Co bond distances ranging from 2.44–2.60 Å. In the second Co site, Co is bonded to three V, one Mo, and eight Co atoms to form distorted CoV3Co8Mo cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with thirteen CoV3Co8Mo cuboctahedra, edges with three equivalent MoCo12 cuboctahedra, edges with four VCo12 cuboctahedra, edges with fourteen CoV3Co8Mo cuboctahedra, a faceface with one MoCo12 cuboctahedra, faces with three VCo12 cuboctahedra, and faces with fifteen CoV3Co8Mo cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.44–2.60 Å. In the third Co site, Co is bonded to three V, one Mo, and eight Co atoms to form distorted CoV3Co8Mo cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with thirteen CoV3Co8Mo cuboctahedra, edges with three equivalent MoCo12 cuboctahedra, edges with four VCo12 cuboctahedra, edges with fourteen CoV3Co8Mo cuboctahedra, a faceface with one MoCo12 cuboctahedra, faces with three VCo12 cuboctahedra, and faces with fifteen CoV3Co8Mo cuboctahedra. There are two shorter (2.46 Å) and two longer (2.50 Å) Co–Co bond lengths. In the fourth Co site, Co is bonded to two V, two equivalent Mo, and eight Co atoms to form distorted CoV2Co8Mo2 cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with thirteen CoV3Co8Mo cuboctahedra, edges with two equivalent MoCo12 cuboctahedra, edges with five VCo12 cuboctahedra, edges with fourteen CoV3Co8Mo cuboctahedra, faces with two VCo12 cuboctahedra, faces with two equivalent MoCo12 cuboctahedra, and faces with fifteen CoV3Co8Mo cuboctahedra. There are a spread of Co–Co bond distances ranging from 2.45–2.58 Å. In the fifth Co site, Co is bonded to three V, one Mo, and eight Co atoms to form CoV3Co8Mo cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with two equivalent MoCo12 cuboctahedra, corners with fourteen CoV3Co8Mo cuboctahedra, edges with two equivalent MoCo12 cuboctahedra, edges with four VCo12 cuboctahedra, edges with twelve CoV3Co8Mo cuboctahedra, a faceface with one MoCo12 cuboctahedra, faces with three VCo12 cuboctahedra, and faces with sixteen CoV3Co8Mo cuboctahedra. There are three shorter (2.49 Å) and two longer (2.54 Å) Co–Co bond lengths. In the sixth Co site, Co is bonded to two V, two equivalent Mo, and eight Co atoms to form distorted CoV2Co8Mo2 cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with thirteen CoV3Co8Mo cuboctahedra, edges with two equivalent MoCo12 cuboctahedra, edges with five VCo12 cuboctahedra, edges with fourteen CoV3Co8Mo cuboctahedra, faces with two VCo12 cuboctahedra, faces with two equivalent MoCo12 cuboctahedra, and faces with fifteen CoV3Co8Mo cuboctahedra. There are one shorter (2.47 Å) and one longer (2.51 Å) Co–V bond lengths. Both Co–Mo bond lengths are 2.52 Å. There are a spread of Co–Co bond distances ranging from 2.45–2.58 Å. In the seventh Co site, Co is bonded to three V, one Mo, and eight Co atoms to form CoV3Co8Mo cuboctahedra that share corners with two equivalent VCo12 cuboctahedra, corners with two equivalent MoCo12 cuboctahedra, corners with fourteen CoV3Co8Mo cuboctahedra, edges with two equivalent MoCo12 cuboctahedra, edges with four VCo12 cuboctahedra, edges with twelve CoV3Co8Mo cuboctahedra, a faceface with one MoCo12 cuboctahedra, faces with three VCo12 cuboctahedra, and faces with sixteen CoV3Co8Mo cuboctahedra. The Co–V bond length is 2.53 Å. There are a spread of Co–Co bond distances ranging from 2.46–2.54 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with 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 7–15°. There are a spread of Li–O bond distances ranging from 2.07–2.26 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 six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.10–2.26 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 three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Li–O bond distances ranging from 2.00–2.24 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 two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.08–2.28 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 two equivalent MnO6 octahedra, corners with two 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 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.27 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.15 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 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 5–10°. There is four shorter (1.95 Å) and two longer (1.96 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 two equivalent MnO6 octahedra, edges with four 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 2.00–2.18 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 1–14°. There are a spread of Co–O bond distances ranging from 1.93–2.18 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Co–O bond distances ranging from 1.79–2.28 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 equivalent MnO6 octahedra, edges with four 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 2.00–2.12 Å. In the fifth 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 8–13°. There are a spread of Co–O bond distances ranging from 1.80–2.31 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–6°. 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–18°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the ninth 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 2–6°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the twelfth 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 2–12°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–10°. 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 OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. 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 distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–18°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

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 equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.11–2.29 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, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.01–2.28 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 four CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.00–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.10–2.32 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Li–O bond distances ranging from 2.00–2.24 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 four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 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 4–8°. There are a spread of Mn–O bond distances ranging from 1.93–2.26 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 1.91–2.13 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.90–2.17 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 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.26 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.25 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 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 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 three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second 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 1–4°. 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 OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co 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 eighth 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 0–6°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the twelfth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth 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 1–8°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. 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 corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent 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 0–6°.

36 MATERIALS SCIENCE↗