Search NASA⌕ Search

SEARCH · Search NASA

Results for “trigonal”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 235 records · Page 13

Materials Data on Zn3In2O6 by Materials Project

Zn3In2O6 is Aluminum carbonitride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with two ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, and edges with two InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.93–2.45 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with six ZnO4 tetrahedra, and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 62–63°. There are a spread of Zn–O bond distances ranging from 2.00–2.07 Å. In the third Zn2+ site, Zn2+ is bonded to five O2- atoms to form ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with two ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, an edgeedge with one ZnO5 tetrahedra, and an edgeedge with one InO5 trigonal bipyramid. There are a spread of Zn–O bond distances ranging from 1.93–2.38 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and a cornercorner with one InO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Zn–O bond distances ranging from 2.00–2.06 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Zn–O bond distances ranging from 2.01–2.05 Å. In the sixth Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 tetrahedra that share corners with three ZnO4 tetrahedra, corners with four InO5 trigonal bipyramids, an edgeedge with one InO5 trigonal bipyramid, and edges with two ZnO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.94–2.64 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and a cornercorner with one InO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Zn–O bond distances ranging from 1.99–2.07 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Zn–O bond distances ranging from 1.99–2.03 Å. In the ninth Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with two ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, an edgeedge with one ZnO5 tetrahedra, and edges with two InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.92–2.47 Å. In the tenth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and corners with two InO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 62°. There are a spread of Zn–O bond distances ranging from 2.00–2.08 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Zn–O bond distances ranging from 2.01–2.04 Å. In the twelfth Zn2+ site, Zn2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Zn–O bond distances ranging from 1.94–2.06 Å. There are eight inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.22–2.26 Å. In the second In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.22–2.26 Å. In the third In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with three ZnO4 tetrahedra, corners with six ZnO5 trigonal bipyramids, an edgeedge with one ZnO5 tetrahedra, and an edgeedge with one InO5 trigonal bipyramid. There are a spread of In–O bond distances ranging from 2.04–2.32 Å. In the fourth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six ZnO4 tetrahedra and edges with six InO6 octahedra. There are three shorter (2.23 Å) and three longer (2.24 Å) In–O bond lengths. In the fifth In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with five ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, an edgeedge with one InO5 trigonal bipyramid, and edges with two ZnO5 trigonal bipyramids. There are a spread of In–O bond distances ranging from 2.06–2.33 Å. In the sixth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.22–2.26 Å. In the seventh In3+ site, In3+ is bonded to four O2- atoms to form distorted InO4 tetrahedra that share corners with three InO6 octahedra, corners with six ZnO4 tetrahedra, and corners with three ZnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of In–O bond distances ranging from 2.08–2.12 Å. In the eighth In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with five ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, and edges with three ZnO5 trigonal bipyramids. There are a spread of In–O bond distances ranging from 2.04–2.45 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZnIn3 tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the second O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 trigonal pyramids that share corners with eight OZn3In tetrahedra, corners with two equivalent OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the third O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZn3In tetrahedra and edges with three OZnIn3 tetrahedra. In the fourth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the fifth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form distorted OZn3In tetrahedra that share corners with six OZn3In tetrahedra and corners with four OZn2In2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the seventh O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the eighth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zn2+ and one In3+ atom. In the tenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 tetrahedra that share corners with six OZn3In tetrahedra, corners with four OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zn2+ atoms to form OZn4 tetrahedra that share corners with eleven OZn3In tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the twelfth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZn3In tetrahedra and edges with three OZnIn3 tetrahedra. In the fourteenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZnIn3 tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 tetrahedra that share corners with four OZn3In tetrahedra, an edgeedge with one OZn2In2 tetrahedra, and edges with two OZn2In2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 trigonal pyramids that share corners with eight OZn3In tetrahedra, corners with two equivalent OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the seventeenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the eighteenth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the nineteenth O2- site, O2- is bonded to four In3+ atoms to form a mixture of distorted edge and corner-sharing OIn4 tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Zn2+ and one In3+ atom. In the twenty-first O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZn3In tetrahedra and corners with two OZn2In2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zn2+ and one In3+ atom. In the twenty-fourth O2- site, O2- is bonded to four Zn2+ atoms to form OZn4 tetrahedra that share corners with eleven OZn3In tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Ca10Al6Si13N30 by Materials Project

Ca10Al6Si13N30 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.42–2.60 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Ca–N bond distances ranging from 2.51–2.73 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Ca–N bond distances ranging from 2.42–2.92 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.38–2.66 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.33–2.70 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.43–2.64 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.20–2.52 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.46–2.59 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.51–2.58 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.33–2.66 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There is three shorter (1.88 Å) and one longer (1.90 Å) Al–N bond length. In the second Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.93 Å. In the third Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.87–1.91 Å. In the fourth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.86–1.91 Å. In the fifth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.79–1.93 Å. In the sixth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.91 Å. There are thirteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.80 Å. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.65–1.92 Å. In the third Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN4 tetrahedra and corners with four AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.74–1.77 Å. In the fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.76–1.80 Å. In the fifth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SiN4 tetrahedra and corners with five AlN4 tetrahedra. There is two shorter (1.74 Å) and two longer (1.80 Å) Si–N bond length. In the sixth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the seventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN4 tetrahedra and corners with four AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.78 Å. In the eighth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.85 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.66–1.89 Å. In the tenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SiN4 tetrahedra and corners with five AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.79 Å. In the eleventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.82 Å. In the twelfth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.85 Å. In the thirteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.82 Å. There are thirty inequivalent N3- sites. In the first N3- site, N3- is bonded in a 3-coordinate geometry to two Ca2+ and three Si4+ atoms. In the second N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid and corners with seven NCaAlSi2 trigonal pyramids. In the third N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted corner-sharing NCaAlSi2 trigonal pyramids. In the fourth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form NCaAl2Si trigonal pyramids that share corners with three NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the fifth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share corners with two equivalent NCa3AlSi trigonal bipyramids and corners with five NCaAl2Si trigonal pyramids. In the sixth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share corners with two equivalent NCaAlSi2 tetrahedra and corners with five NCaSi3 trigonal pyramids. In the seventh N3- site, N3- is bonded in a 2-coordinate geometry to two Ca2+ and two Si4+ atoms. In the eighth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form NCaAl2Si trigonal pyramids that share corners with three NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the ninth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share corners with two equivalent NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the tenth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid and corners with four NCaAlSi2 trigonal pyramids. In the eleventh N3- site, N3- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twelfth N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to four Ca2+ and two Si4+ atoms. In the fourteenth N3- site, N3- is bonded to three Ca2+ and two Al3+ atoms to form distorted NCa3Al2 trigonal bipyramids that share corners with two equivalent NCa3Al2 trigonal bipyramids, corners with eight NCaAl2Si trigonal pyramids, and edges with two NCaAl2Si trigonal pyramids. In the fifteenth N3- site, N3- is bonded to three Ca2+, one Al3+, and one Si4+ atom to form distorted NCa3AlSi trigonal bipyramids that share corners with two equivalent NCa3AlSi trigonal bipyramids, corners with eight NCaAl2Si trigonal pyramids, and edges with two NCaAlSi2 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to one Ca2+ and three Si4+ atoms to form distorted corner-sharing NCaSi3 trigonal pyramids. In the seventeenth N3- site, N3- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Si4+ atoms. In the eighteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the nineteenth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3Al2 trigonal bipyramid. In the twentieth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAlSi2 tetrahedra and corners with six NCaAl2Si trigonal pyramids. In the twenty-first N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the twenty-second N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the twenty-third N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3Al2 trigonal bipyramid. In the twenty-fourth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form corner-sharing NCaAlSi2 tetrahedra. In the twenty-fifth N3- site, N3- is bonded to one Ca2+ and three Si4+ atoms to form NCaSi3 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid, corners with five NCaAlSi2 trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the twenty-sixth N3- site, N3- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-seventh N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+ and two Si4+ atoms. In the twenty-eighth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the twenty-ninth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the thirtieth N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ti8O16 by Materials Project

Li5Ti8O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three TiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–76°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three TiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–77°. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–85°. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two TiO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with eight TiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Li–O bond distances ranging from 1.94–2.66 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–76°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. There are eight inequivalent Ti+3.38+ sites. In the first Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–20°. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the second Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–23°. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the third Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of Ti–O bond distances ranging from 1.96–2.16 Å. In the fourth Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–23°. There are a spread of Ti–O bond distances ranging from 1.95–2.20 Å. In the fifth Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–23°. There are a spread of Ti–O bond distances ranging from 1.95–2.16 Å. In the sixth Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of Ti–O bond distances ranging from 1.92–2.13 Å. In the seventh Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–23°. There are a spread of Ti–O bond distances ranging from 1.95–2.16 Å. In the eighth Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with two equivalent LiO6 octahedra, edges with four TiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Ti–O bond distances ranging from 1.96–2.15 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.38+ atoms. In the second O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form OLi2Ti3 trigonal bipyramids that share corners with two equivalent OLi2Ti3 square pyramids, corners with two equivalent OLi2Ti3 trigonal bipyramids, an edgeedge with one OLi3Ti3 octahedra, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, corners with four OLi2Ti3 trigonal bipyramids, a cornercorner with one OLiTi3 trigonal pyramid, edges with two equivalent OLi3Ti3 octahedra, an edgeedge with one OLi2Ti3 square pyramid, and an edgeedge with one OLi2Ti3 trigonal bipyramid. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.38+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.38+ atoms. In the sixth O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, corners with three OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTi3 trigonal pyramids, an edgeedge with one OLi3Ti3 octahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two OLi2Ti3 trigonal bipyramids. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.38+ atoms to form a mixture of corner and edge-sharing OLiTi3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.38+ atoms. In the ninth O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form distorted OLi2Ti3 square pyramids that share a cornercorner with one OLi3Ti3 octahedra, corners with two OLi2Ti3 trigonal bipyramids, an edgeedge with one OLi3Ti3 octahedra, edges with three OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. The corner-sharing octahedral tilt angles are 2°. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.38+ atoms. In the eleventh O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form OLi2Ti3 trigonal bipyramids that share corners with three OLi2Ti3 square pyramids, corners with two equivalent OLi2Ti3 trigonal bipyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form OLi2Ti3 trigonal bipyramids that share corners with two equivalent OLi3Ti3 octahedra, corners with two OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, and an edgeedge with one OLi2Ti3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 29–31°. In the thirteenth O2- site, O2- is bonded to two Li1+ and three Ti+3.38+ atoms to form OLi2Ti3 trigonal bipyramids that share corners with two OLi2Ti3 square pyramids, corners with two equivalent OLiTi3 trigonal pyramids, an edgeedge with one OLi3Ti3 octahedra, edges with three OLi2Ti3 square pyramids, and edges with two OLi2Ti3 trigonal bipyramids. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Ti+3.38+ atoms to form a mixture of corner and edge-sharing OLi3Ti3 octahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.38+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+ and three Ti+3.38+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe4(BO3)4 by Materials Project

Li3Fe4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.12 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.90–2.57 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.28 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.37 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.19 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.15 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.15 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.33 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.23 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.27 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.39 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiFe2(BO3)2 by Materials Project

LiFe2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.01–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.21 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.18 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.18 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.23 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.23 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.07 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.25 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.97–2.35 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.50+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe(BO3)4 by Materials Project

Li4Mn3Fe(BO3)4 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 four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.33 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.30 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.03 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.36 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.36 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.35 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.35 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.31 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.14 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.30 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.11 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.31 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.31 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.39 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.24 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.44 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.17+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.40 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.36 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.13 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.34 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLi2MnB trigonal pyramid and an edgeedge with one OLiMn2B tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLi2MnB trigonal pyramid and an edgeedge with one OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnFe3(BO3)4 by Materials Project

Li4MnFe3(BO3)4 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 four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.11 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. There are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.32 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.26 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.28 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.31 Å. In the sixth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.30 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.37 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.31 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.12 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.26 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.29 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.31 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.26 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.12–2.34 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.11 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.35 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.28 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.29 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li21(CoO4)4 by Materials Project

Li21(CoO4)4 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are twenty-one inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CoO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with seven LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with seven LiO4 tetrahedra, corners with five LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with five LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.12 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with seven LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with five LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent CoO4 tetrahedra, corners with five LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent CoO4 tetrahedra, corners with seven LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with five LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with four LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CoO4 tetrahedra, corners with seven LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with nine LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.30 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with nine LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.01–2.12 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.88–2.08 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent CoO4 tetrahedra, corners with six LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.12 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CoO4 tetrahedra, corners with four LiO4 trigonal pyramids, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.04–2.07 Å. In the twenty-first Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. There are four inequivalent Co+2.75+ sites. In the first Co+2.75+ site, Co+2.75+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with eight LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.83–1.97 Å. In the second Co+2.75+ site, Co+2.75+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with nine LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with three LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the third Co+2.75+ site, Co+2.75+ is bonded to four O2- atoms to form distorted CoO4 tetrahedra that share corners with eleven LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 1.95–2.04 Å. In the fourth Co+2.75+ site, Co+2.75+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with eight LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with three LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.80–2.01 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Co+2.75+ atom to form distorted OLi5Co octahedra that share a cornercorner with one OLi5Co octahedra, a cornercorner with one OLi6Co pentagonal bipyramid, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi5Co octahedra, an edgeedge with one OLi6Co pentagonal bipyramid, and an edgeedge with one OLi4Co trigonal bipyramid. The corner-sharing octahedral tilt angles are 67°. In the second O2- site, O2- is bonded to four Li1+ and one Co+2.75+ atom to form OLi4Co trigonal bipyramids that share corners with three OLi5Co octahedra, a cornercorner with one OLi6Co pentagonal bipyramid, corners with two equivalent OLi4Co square pyramids, and edges with two OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 55–69°. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+2.75+ atom. In the fourth O2- site, O2- is bonded to five Li1+ and one Co+2.75+ atom to form OLi5Co octahedra that share a cornercorner with one OLi5Co octahedra, a cornercorner with one OLi6Co pentagonal bipyramid, an edgeedge with one OLi5Co octahedra, edges with two OLi6Co pentagonal bipyramids, and an edgeedge with one OLi4Co trigonal bipyramid. The corner-sharing octahedral tilt angles are 67°. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+2.75+ atom. In the sixth O2- site, O2- is bonded to five Li1+ and one Co+2.75+ atom to form distorted OLi5Co octahedra that share corners with two equivalent OLi4Co square pyramids, a cornercorner with one OLi4Co trigonal bipyramid, and an edgeedge with one OLi6Co pentagonal bipyramid. In the seventh O2- site, O2- is bonded to six Li1+ and one Co+2.75+ atom to form distorted OLi6Co pentagonal bipyramids that share a cornercorner with one OLi5Co octahedra, edges with two OLi5Co octahedra, and edges with three OLi6Co pentagonal bipyramids. The corner-sharing octahedral tilt angles are 56°. In the eighth O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Co+2.75+ atom. In the ninth O2- site, O2- is bonded to six Li1+ and one Co+2.75+ atom to form distorted OLi6Co pentagonal bipyramids that share a cornercorner with one OLi5Co octahedra, an edgeedge with one OLi5Co octahedra, and edges with four OLi6Co pentagonal bipyramids. The corner-sharing octahedral tilt angles are 50°. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Co+2.75+ atom. In the eleventh O2- site, O2- is bonded to six Li1+ and one Co+2.75+ atom to form distorted OLi6Co pentagonal bipyramids that share a cornercorner with one OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi5Co octahedra, and edges with three OLi6Co pentagonal bipyramids. The corner-sharing octahedral tilt angles are 57°. In the twe

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.03 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.34 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.37 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.26 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.10 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.12–2.32 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.35 Å. There are six inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.17+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe(BO3)4 by Materials Project

Li4Mn3Fe(BO3)4 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 four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.08 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.28 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.27 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.28 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.28 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn5Fe3(BO3)8 by Materials Project

Li8Mn5Fe3(BO3)8 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 four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. There are five inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.40 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.38 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.43 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.40 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.38 Å. There are three inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.41 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.40 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.38 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the nineteenth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFe7O7F by Materials Project

LiFe7O7F crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Li1+ is bonded to two O2- and three equivalent F1- atoms to form LiO2F3 trigonal bipyramids that share corners with two FeO5 trigonal bipyramids, corners with six equivalent LiO2F3 trigonal bipyramids, and edges with six FeO4F trigonal bipyramids. There are one shorter (2.11 Å) and one longer (2.14 Å) Li–O bond lengths. There are two shorter (2.07 Å) and one longer (2.09 Å) Li–F bond lengths. There are seven inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO2F3 trigonal bipyramid, corners with seven FeO5 trigonal bipyramids, and edges with six FeO4F trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO2F3 trigonal bipyramid, corners with seven FeO5 trigonal bipyramids, and edges with six FeO4F trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.24 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with eight FeO4F trigonal bipyramids and edges with six FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.25 Å. In the fifth Fe2+ site, Fe2+ is bonded to four O2- and one F1- atom to form FeO4F trigonal bipyramids that share corners with eight FeO4F trigonal bipyramids, edges with three equivalent LiO2F3 trigonal bipyramids, and edges with three equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.07–2.15 Å. The Fe–F bond length is 2.19 Å. In the sixth Fe2+ site, Fe2+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.27 Å. In the seventh Fe2+ site, Fe2+ is bonded to four O2- and one F1- atom to form FeO4F trigonal bipyramids that share corners with eight FeO4F trigonal bipyramids, edges with three equivalent LiO2F3 trigonal bipyramids, and edges with three equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.21 Å. The Fe–F bond length is 2.24 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Fe2+ atoms to form OLiFe4 trigonal bipyramids that share corners with eight OLiFe4 trigonal bipyramids, edges with three equivalent OFe5 trigonal bipyramids, and edges with three equivalent FLi3Fe2 trigonal bipyramids. In the second O2- site, O2- is bonded to five Fe2+ atoms to form OFe5 trigonal bipyramids that share corners with eight OLiFe4 trigonal bipyramids and edges with six OFe5 trigonal bipyramids. In the third O2- site, O2- is bonded to one Li1+ and four Fe2+ atoms to form OLiFe4 trigonal bipyramids that share corners with eight OLiFe4 trigonal bipyramids, edges with three equivalent OFe5 trigonal bipyramids, and edges with three equivalent FLi3Fe2 trigonal bipyramids. In the fourth O2- site, O2- is bonded to five Fe2+ atoms to form a mixture of edge and corner-sharing OFe5 trigonal bipyramids. In the fifth O2- site, O2- is bonded to five Fe2+ atoms to form a mixture of edge and corner-sharing OFe5 trigonal bipyramids. In the sixth O2- site, O2- is bonded to five Fe2+ atoms to form OFe5 trigonal bipyramids that share a cornercorner with one FLi3Fe2 trigonal bipyramid, corners with seven OFe5 trigonal bipyramids, and edges with six OLiFe4 trigonal bipyramids. In the seventh O2- site, O2- is bonded to five Fe2+ atoms to form OFe5 trigonal bipyramids that share a cornercorner with one FLi3Fe2 trigonal bipyramid, corners with seven OFe5 trigonal bipyramids, and edges with six OLiFe4 trigonal bipyramids. F1- is bonded to three equivalent Li1+ and two Fe2+ atoms to form FLi3Fe2 trigonal bipyramids that share corners with two OFe5 trigonal bipyramids, corners with six equivalent FLi3Fe2 trigonal bipyramids, and edges with six OLiFe4 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnFe3(BO3)4 by Materials Project

Li4MnFe3(BO3)4 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 four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three equivalent FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.30 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.27 Å. There are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.30 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.26 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.30 Å. In the sixth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.28 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗