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Materials Data on Li2V3CoO8 by Materials Project

Li2V3CoO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are three shorter (2.13 Å) and three longer (2.17 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is one shorter (1.98 Å) and three longer (2.00 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is one shorter (1.98 Å) and three longer (2.00 Å) Li–O bond length. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, and edges with six VO6 octahedra. There are three shorter (2.13 Å) and three longer (2.17 Å) Li–O bond lengths. There are twelve inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.05 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.03 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the seventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the eighth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the ninth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the tenth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.89–2.04 Å. In the eleventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the twelfth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Co–O bond distances ranging from 1.97–1.99 Å. In the second Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is three shorter (1.99 Å) and one longer (2.00 Å) Co–O bond length. In the third Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is three shorter (1.99 Å) and one longer (2.00 Å) Co–O bond length. In the fourth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Co–O bond lengths are 1.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the second O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with twelve OLiV2Co trigonal pyramids and edges with three OLi2V2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form distorted OLiV3 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLiV3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share corners with eleven OLi2V2 trigonal pyramids and edges with three OLiV2Co trigonal pyramids. In the sixth O2- site, O2- is bonded to three V4+ and one Co2+ atom to form distorted OV3Co trigonal pyramids that share corners with twelve OLi2V2 trigonal pyramids and edges with three OLiV2Co trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share corners with twelve OLi2V2 trigonal pyramids, an edgeedge with one OV3Co tetrahedra, and edges with two OLiV2Co trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share corners with twelve OLi2V2 trigonal pyramids, an edgeedge with one OV3Co tetrahedra, and edges with two OLiV2Co trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLiV2Co trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with ten OLi2V2 trigonal pyramids, and edges with three OLiV2Co trigonal pyramids. In the eleventh O2- site, O2- is bonded to three V4+ and one Co2+ atom to form a mixture of distorted edge and corner-sharing OV3Co tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two V4+, and one Co2+ atom to form distorted OLiV2Co trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, an edgeedge with one OV3Co tetrahedra, and edges with two OLiV2Co trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with two OLiV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with eleven OLiV2Co trigonal pyramids, and edges with two OLiV3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share a cornercorner with one OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two V4+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with three OLi2V2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three V4+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two OV3Co tetrahedra, corners with ten OLiV2Co trigonal pyramids, and edges with two OLi2V2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rec

36 MATERIALS SCIENCE↗

Materials Data on La9Ni5S21 by Materials Project

La9Ni5S21 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.85–3.03 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.10 Å. In the third La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.86–3.10 Å. In the fourth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.86–3.11 Å. In the fifth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.03 Å. In the sixth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.09 Å. In the seventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.11 Å. In the eighth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.86–3.11 Å. In the ninth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.85–3.03 Å. In the tenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.10 Å. In the eleventh La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.91–3.08 Å. In the twelfth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.87–3.05 Å. In the thirteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.92–3.08 Å. In the fourteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.87–3.05 Å. In the fifteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.11 Å. In the sixteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.87–3.06 Å. In the seventeenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.84–3.10 Å. In the eighteenth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of La–S bond distances ranging from 2.91–3.08 Å. There are ten inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to four S2- atoms to form distorted corner-sharing NiS4 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–2.34 Å. In the second Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–3.10 Å. In the third Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–3.07 Å. In the fourth Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.16–3.09 Å. In the fifth Ni3+ site, Ni3+ is bonded to five S2- atoms to form distorted corner-sharing NiS5 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–3.09 Å. In the sixth Ni3+ site, Ni3+ is bonded to four S2- atoms to form distorted corner-sharing NiS4 trigonal pyramids. There are a spread of Ni–S bond distances ranging from 2.15–2.34 Å. In the seventh Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.43–2.46 Å. In the eighth Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.41–2.50 Å. In the ninth Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.42–2.50 Å. In the tenth Ni3+ site, Ni3+ is bonded to six S2- atoms to form face-sharing NiS6 octahedra. There are a spread of Ni–S bond distances ranging from 2.44–2.46 Å. There are forty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the second S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the third S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the fourth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the fifth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the sixth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and two Ni3+ atoms. In the seventh S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the eighth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the ninth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the tenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the eleventh S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twelfth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the thirteenth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the fourteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the fifteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the sixteenth S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the seventeenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the eighteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the nineteenth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twentieth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twenty-first S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the twenty-second S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twenty-third S2- site, S2- is bonded to four La3+ and two Ni3+ atoms to form distorted SLa4Ni2 pentagonal pyramids that share corners with four SLa4Ni trigonal bipyramids, faces with two SLa4Ni2 pentagonal pyramids, and faces with four SLa4Ni trigonal bipyramids. In the twenty-fourth S2- site, S2- is bonded to four La3+ and one Ni3+ atom to form distorted SLa4Ni trigonal bipyramids that share corners with two SLa4Ni2 pentagonal pyramids, a cornercorner with one SLa4Ni trigonal bipyramid, edges with four SLa4Ni trigonal bipyramids, and faces with two SLa4Ni2 pentagonal pyramids. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the twenty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the twenty-eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the twenty-ninth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirtieth S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirty-first S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the thirty-third S2- site, S2- is bonded in a 4-coordinate geometry to three La3+ and one Ni3+ atom. In the thirty-fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three La3+ and one Ni3+ atom. In the thirty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to three La3

36 MATERIALS SCIENCE↗

Materials Data on Nb2Ni4O9 by Materials Project

Ni4Nb2O9 crystallizes in the orthorhombic Fdd2 space group. The structure is three-dimensional. there are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.32 Å. In the second Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.84–2.32 Å. In the third Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.34 Å. In the fourth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.85–2.35 Å. There are ten inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ni–O bond distances ranging from 2.00–2.24 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Ni–O bond distances ranging from 2.02–2.20 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Ni–O bond distances ranging from 2.02–2.18 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ni–O bond distances ranging from 2.02–2.14 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ni–O bond distances ranging from 2.03–2.15 Å. In the seventh Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Ni–O bond distances ranging from 2.02–2.20 Å. In the eighth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Ni–O bond distances ranging from 2.01–2.13 Å. In the ninth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Ni–O bond distances ranging from 2.03–2.21 Å. In the tenth Ni2+ site, Ni2+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing NiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ni–O bond distances ranging from 2.07–2.18 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with three ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the fourth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Nb5+ and three Ni2+ atoms. In the seventh O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the ninth O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with two ONbNi4 trigonal bipyramids, corners with three ONb2Ni2 trigonal pyramids, edges with three ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Nb5+ and three Ni2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Ni2+ atoms. In the twelfth O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with two ONbNi4 trigonal bipyramids, corners with three ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Nb5+ and three Ni2+ atoms. In the fifteenth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Nb5+ and four Ni2+ atoms to form distorted ONbNi4 trigonal bipyramids that share corners with two ONbNi4 trigonal bipyramids, corners with three ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with three ONb2Ni2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Nb5+ and two Ni2+ atoms to form distorted ONb2Ni2 trigonal pyramids that share corners with two ONbNi4 trigonal bipyramids, corners with four ONb2Ni2 trigonal pyramids, edges with two ONbNi4 trigonal bipyramids, and edges with two ONb2Ni2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Nb5+ and three Ni2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y16Ti16O35 by Materials Project

Y16Ti16O35 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Y sites. In the first Y site, Y is bonded to five O atoms to form a mixture of corner and edge-sharing YO5 trigonal bipyramids. There are a spread of Y–O bond distances ranging from 2.14–2.38 Å. In the second Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.13–2.52 Å. In the third Y site, Y is bonded to four O atoms to form YO4 trigonal pyramids that share corners with two equivalent YO5 trigonal bipyramids and corners with two equivalent YO4 trigonal pyramids. There are a spread of Y–O bond distances ranging from 2.18–2.36 Å. In the fourth Y site, Y is bonded to four O atoms to form YO4 trigonal pyramids that share corners with two equivalent YO5 trigonal bipyramids and corners with two equivalent YO4 trigonal pyramids. There are a spread of Y–O bond distances ranging from 2.19–2.37 Å. In the fifth Y site, Y is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Y–O bond distances ranging from 2.37–2.53 Å. In the sixth Y site, Y is bonded to five O atoms to form distorted corner-sharing YO5 trigonal bipyramids. There are a spread of Y–O bond distances ranging from 2.24–2.38 Å. In the seventh Y site, Y is bonded in a trigonal planar geometry to three O atoms. There are a spread of Y–O bond distances ranging from 2.23–2.32 Å. In the eighth Y site, Y is bonded to five O atoms to form distorted YO5 trigonal bipyramids that share a cornercorner with one YO5 trigonal bipyramid and a cornercorner with one YO4 trigonal pyramid. There are a spread of Y–O bond distances ranging from 2.22–2.36 Å. In the ninth Y site, Y is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Y–O bond distances ranging from 2.24–2.43 Å. In the tenth Y site, Y is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Y–O bond distances ranging from 2.24–2.44 Å. In the eleventh Y site, Y is bonded to four O atoms to form corner-sharing YO4 trigonal pyramids. There are a spread of Y–O bond distances ranging from 2.16–2.36 Å. In the twelfth Y site, Y is bonded to five O atoms to form distorted YO5 trigonal bipyramids that share corners with two YO5 trigonal bipyramids and corners with two equivalent YO4 trigonal pyramids. There are a spread of Y–O bond distances ranging from 2.21–2.36 Å. In the thirteenth Y site, Y is bonded to five O atoms to form distorted YO5 trigonal bipyramids that share corners with three YO5 trigonal bipyramids and a cornercorner with one YO4 trigonal pyramid. There are a spread of Y–O bond distances ranging from 2.20–2.37 Å. In the fourteenth Y site, Y is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.27–2.47 Å. In the fifteenth Y site, Y is bonded to five O atoms to form a mixture of distorted corner and edge-sharing YO5 trigonal bipyramids. There are a spread of Y–O bond distances ranging from 2.14–2.37 Å. In the sixteenth Y site, Y is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Y–O bond distances ranging from 2.14–2.57 Å. There are sixteen inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of Ti–O bond distances ranging from 1.91–1.98 Å. In the second Ti site, Ti is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.97–2.14 Å. In the third Ti site, Ti is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 2.00–2.20 Å. In the fourth Ti site, Ti is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the fifth Ti site, Ti is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.96–2.27 Å. In the sixth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 2.00–2.10 Å. In the seventh Ti site, Ti is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.04 Å. In the eighth Ti site, Ti is bonded in a see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.86–2.04 Å. In the ninth Ti site, Ti is bonded in a see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.97–2.11 Å. In the tenth Ti site, Ti is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.20 Å. In the eleventh Ti site, Ti is bonded in a trigonal non-coplanar geometry to three O atoms. There are a spread of Ti–O bond distances ranging from 1.86–1.99 Å. In the twelfth Ti site, Ti is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.98–2.15 Å. In the thirteenth Ti site, Ti is bonded in a see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.90–2.02 Å. In the fourteenth Ti site, Ti is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the fifteenth Ti site, Ti is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are a spread of Ti–O bond distances ranging from 1.89–1.99 Å. In the sixteenth Ti site, Ti is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Ti–O bond distances ranging from 1.99–2.26 Å. There are thirty-five inequivalent O sites. In the first O site, O is bonded to four Y atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the second O site, O is bonded to two Y and two Ti atoms to form OY2Ti2 tetrahedra that share a cornercorner with one OY4 tetrahedra, corners with three equivalent OY2Ti2 trigonal pyramids, edges with four OY2Ti2 tetrahedra, and an edgeedge with one OY2Ti2 trigonal pyramid. In the third O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 tetrahedra. In the fourth O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 trigonal pyramids that share corners with twelve OY2Ti2 tetrahedra, a cornercorner with one OY2Ti2 trigonal pyramid, and an edgeedge with one OY4 tetrahedra. In the fifth O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 trigonal pyramids. In the sixth O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 tetrahedra that share corners with seven OY2Ti2 tetrahedra, corners with two equivalent OY2Ti2 trigonal pyramids, and edges with two OY4 tetrahedra. In the seventh O site, O is bonded to two Y and two Ti atoms to form a mixture of corner and edge-sharing OY2Ti2 tetrahedra. In the eighth O site, O is bonded to two Y and two Ti atoms to form distorted corner-sharing OY2Ti2 tetrahedra. In the ninth O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 tetrahedra that share corners with seven OY2Ti2 tetrahedra, corners with three OY2Ti2 trigonal pyramids, and edges with two OY4 tetrahedra. In the tenth O site, O is bonded to two Y and two Ti atoms to form a mixture of corner and edge-sharing OY2Ti2 tetrahedra. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to two Y and one Ti atom. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Y and two Ti atoms. In the thirteenth O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 trigonal pyramids. In the fourteenth O site, O is bonded to four Y atoms to form OY4 tetrahedra that share corners with seven OY4 tetrahedra, corners with five OY2Ti2 trigonal pyramids, and an edgeedge with one OY2Ti2 tetrahedra. In the fifteenth O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 trigonal pyramids. In the sixteenth O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 trigonal pyramids. In the seventeenth O site, O is bonded to two Y and two Ti atoms to form a mixture of corner and edge-sharing OY2Ti2 tetrahedra. In the eighteenth O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 trigonal pyramids. In the nineteenth O site, O is bonded to two Y and two Ti atoms to form OY2Ti2 tetrahedra that share corners with two OY2Ti2 tetrahedra, an edgeedge with one OY4 tetrahedra, and edges with two OY2Ti2 trigonal pyramids. In the twentieth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Y and two Ti atoms. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to two Y and two Ti atoms. In the twenty-second O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 trigonal pyramids that share corners with two equivalent OY4 tetrahedra, corners with four OY2Ti2 trigonal pyramids, and edges with two OY2Ti2 tetrahedra. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to two Y and one Ti atom. In the twenty-fourth O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 trigonal pyramids that share corners with two equivalent OY4 tetrahedra, corners with four OY2Ti2 trigonal pyramids, and an edgeedge with one OY2Ti2 tetrahedra. In the twenty-fifth O site, O is bonded to two Y and two Ti atoms to form OY2Ti2 trigonal pyramids that share a cornercorner with one OY4 tetrahedra, corners with four OY2Ti2 trigonal pyramids, and an edgeedge with one OY2Ti2 tetrahedra. In the twenty-sixth O site, O is bonded to two Y and two Ti atoms to form OY2Ti2 tetrahedra that share corners with two OY2Ti2 tetrahedra, an edgeedge with one OY4 tetrahedra, and edges with two OY2Ti2 trigonal pyramids. In the twenty-seventh O site, O is bonded to two Y and two Ti atoms to form OY2Ti2 tetrahedra that share corners with two OY4 tetrahedra, a cornercorner with one OY2Ti2 trigonal pyramid, edges with two OY4 tetrahedra, and an edgeedge with one OY2Ti2 trigonal pyramid. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Y and two Ti atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to two Y and two Ti atoms. In the thirtieth O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 tetrahedra that share corners with five OY2Ti2 tetrahedra, corners with two OY2Ti2 trigonal pyramids, and edges with two OY4 tetrahedra. In the thirty-first O site, O is bonded in a distorted trigonal planar geometry to two Y and one Ti atom. In the thirty-second O site, O is bonded to four Y atoms to form a mixture of corner and edge-sharing OY4 tetrahedra. In the thirty-third O site, O is bonded to two Y and two Ti atoms to form distorted OY2Ti2 tetrahedra that share corners with six OY4 tetrahedra, a cornercorner with one OY2Ti2 trigonal pyramid, and an edgeedge with one OY4 tetrahedra. In the thirty-fourth O site, O is bonded to two Y and two Ti atoms to form a mixture of distorted corner and edge-sharing OY2Ti2 trigonal pyramids. In the thirty-fifth O site, O is bonded to four Y atoms to form OY4 tetrahedra that share corners with nine OY4 tetrahedra, corners with two OY2Ti2 trigonal pyramids, and an edgeedge with one OY2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4TiO4 by Materials Project

Li4TiO4 is Aluminum carbonitride-like structured and crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.20 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.40 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 two TiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.58 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent TiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.60 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four TiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with six LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.11 Å. In the twelfth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.20 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.15 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.16 Å. In the fifteenth Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.19 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.81–2.04 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.81–1.89 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.79–1.88 Å. In the third Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with seven LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, and edges with three LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.83–1.85 Å. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.82–1.85 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form distorted OLi4Ti trigonal bipyramids that share a cornercorner with one OLi5Ti octahedra, corners with two equivalent OLi4Ti trigonal bipyramids, corners with two OLi3Ti trigonal pyramids, edges with two OLi5Ti octahedra, and an edgeedge with one OLi3Ti trigonal pyramid. The corner-sharing octahedral tilt angles are 56°. In the second O2- site, O2- is bonded to three Li1+ and one Ti4+ atom to form distorted OLi3Ti trigonal pyramids that share corners with two OLi5Ti octahedra, a cornercorner with one OLi3Ti tetrahedra, a cornercorner with one OLi4Ti trigonal bipyramid, a cornercorner with one OLi3Ti trigonal pyramid, and edges with two OLi4Ti trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–65°. In the third O2- site, O2- is bonded to three Li1+ and one Ti4+ atom to form OLi3Ti trigonal pyramids that share a cornercorner with one OLi3Ti tetrahedra, corners with three OLi4Ti trigonal bipyramids, a cornercorner with one OLi3Ti trigonal pyramid, and an edgeedge with one OLi4Ti trigonal bipyramid. In the fourth O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form distorted OLi4Ti trigonal bipyramids that share corners with two equivalent OLi4Ti trigonal bipyramids, a cornercorner with one OLi3Ti trigonal pyramid, an edgeedge with one OLi4Ti trigonal bipyramid, and edges with two OLi3Ti trigonal pyramids. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a see-saw-like geometry to three Li1+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form OLi4Ti trigonal bipyramids that share corners with two OLi5Ti octahedra, a cornercorner with one OLi3Ti trigonal pyramid, and an edgeedge with one OLi4Ti trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–57°. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one Ti4+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ti4+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded to five Li1+ and one Ti4+ atom to form distorted OLi5Ti octahedra that share a cornercorner with one OLi3Ti tetrahedra, a cornercorner with one OLi4Ti trigonal bipyramid, a cornercorner with one OLi3Ti trigonal pyramid, edges with two equivalent OLi5Ti octahedra, and an edgeedge with one OLi4Ti trigonal bipyramid. In the twelfth O2- site, O2- is bonded to five Li1+ and one Ti4+ atom to form distorted OLi5Ti octahedra that share corners with two OLi4Ti trigonal bipyramids, a cornercorner with one OLi3Ti trigonal pyramid, edges with two equivalent OLi5Ti octahedra, and an edgeedge with one OLi4Ti trigonal bipyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded to three Li1+ and one Ti4+ atom to form distorted OLi3Ti tetrahedra that share a cornercorner with one OLi5Ti octahedra and corners with two OLi3Ti trigonal pyramids. The corner-sharing octahedral tilt angles are 49°.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe8(BO3)8 by Materials Project

Li3Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first 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, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.57 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.97–2.09 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.91–2.67 Å. There are eight inequivalent Fe+2.62+ sites. In the first Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.12 Å. In the second Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.25 Å. In the third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent 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 2.00–2.24 Å. In the fourth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share 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 1.85–2.11 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share 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 1.87–2.21 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, 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 2.02–2.29 Å. In the seventh Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.06 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, 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 2.01–2.25 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 1.36–1.41 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 1.35–1.41 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 1.36–1.43 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 1.36–1.42 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 1.36–1.42 Å. 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 (1.39 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 1.35–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.62+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.62+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Fe+2.62+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.62+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded to two Li1+, one Fe+2.62+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.62+, and one B3+ atom.

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 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 1.93–2.10 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.66 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 1.95–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.14 Å. In the fifth 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 1.92–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra 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 1.91–1.99 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 a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.26 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 1.97–2.36 Å. In the third 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, 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 2.01–2.31 Å. In the fourth 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.24 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 LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.11 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.02 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 equivalent LiO4 tetrahedra, 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 2.00–2.26 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 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 FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.37 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 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 1.37–1.42 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 1.36–1.42 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 1.36–1.42 Å. In the seventh 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 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 one Li1+, two Fe+2.25+, and one B3+ atom. 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 OLi2FeB trigonal pyramids that share corners with two equivalent OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, 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+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one 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 to one Li1+, two Fe+2.25+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and corners with four OLi2FeB trigonal pyramids. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eleventh 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 twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Fe+2.25+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the fifteenth 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 sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the twentieth 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 twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one 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 OLi2FeB trigonal pyramids that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. 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 in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Al2FeO6 by Materials Project

Li3FeAl2O6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, edges with two equivalent AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.13 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, edges with two equivalent AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.20 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with four LiO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, edges with two LiO5 trigonal bipyramids, edges with two equivalent FeO5 trigonal bipyramids, and edges with two AlO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.14 Å. Fe3+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, edges with two AlO5 trigonal bipyramids, and edges with four LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.11 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share corners with two equivalent FeO5 trigonal bipyramids, corners with six LiO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, edges with two AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Al–O bond distances ranging from 1.80–2.01 Å. In the second Al3+ site, Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share corners with two equivalent FeO5 trigonal bipyramids, corners with six LiO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, edges with two AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Al–O bond distances ranging from 1.80–2.02 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Fe3+, and two Al3+ atoms to form OLi2Al2Fe trigonal bipyramids that share corners with eight OLi2Al2Fe trigonal bipyramids and edges with six OLi3AlFe trigonal bipyramids. In the second O2- site, O2- is bonded to three Li1+, one Fe3+, and one Al3+ atom to form OLi3AlFe trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2Al2Fe trigonal bipyramids. In the third O2- site, O2- is bonded to two Li1+, one Fe3+, and two equivalent Al3+ atoms to form OLi2Al2Fe trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2Al2Fe trigonal bipyramids. In the fourth O2- site, O2- is bonded to three Li1+, one Fe3+, and one Al3+ atom to form OLi3AlFe trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2Al2Fe trigonal bipyramids. In the fifth O2- site, O2- is bonded to three Li1+ and two Al3+ atoms to form a mixture of corner and edge-sharing OLi3Al2 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two Li1+, one Fe3+, and two equivalent Al3+ atoms to form OLi2Al2Fe trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2Al2Fe trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn3Fe5(BO3)8 by Materials Project

Li8Mn3Fe5(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 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 1.93–2.03 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 MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.08 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.04 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.08 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.10 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.08 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, 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 1.95–2.11 Å. There are three 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 2.09–2.31 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, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.31 Å. There are five 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 2.04–2.27 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 2.00–2.26 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 2.00–2.26 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, 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 2.01–2.27 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, 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 2.00–2.28 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 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 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 two shorter (1.39 Å) and one 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 one shorter (1.39 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 are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the eighth 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. 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 to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. 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+, one Mn2+, one Fe2+, and one B3+ atom. In the seventh 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 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+, 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 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 in a distorted trigonal pyramidal geometry to two Li1+, one Fe2+, and one B3+ atom. 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 to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB 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 in a distorted rectangular see-saw-like 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+, one Mn2+, one Fe2+, 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+, 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+, 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 in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, 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 1.92–2.02 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 two equivalent MnO5 trigonal bipyramids, corners with two 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 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 1.94–2.08 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 two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.11 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 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 two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.03 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 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, a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 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, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.30 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, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.32 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, 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. 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 2.00–2.26 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 2.01–2.28 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, 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 2.02–2.28 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, 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 2.01–2.26 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 2.00–2.29 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 (1.38 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 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 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 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 (1.39 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 are a spread of B–O bond distances ranging from 1.38–1.41 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 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one 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 in a distorted rectangular see-saw-like geometry to two Li1+, 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+, one Mn2+, one Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, 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 one Li1+, two Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, 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 in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, 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 in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the nineteenth 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 twentieth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. 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 two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-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.

36 MATERIALS SCIENCE↗

Materials Data on Li21(Co4O9)2 by Materials Project

Li21(Co4O9)2 crystallizes in the triclinic P1 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 a mixture of distorted edge and corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the second 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 three LiO4 trigonal pyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with six LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.94–2.08 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.22 Å. In the eleventh 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 1.93–2.61 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.43 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with three LiO4 trigonal pyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.17 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.13 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 1.95–2.32 Å. In the sixteenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.13 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.66 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.07 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.87–2.07 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form a mixture of distorted edge and corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.20 Å. In the twenty-first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. There are eight inequivalent Co+1.88+ sites. In the first Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.92 Å. In the second Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.98 Å. In the third Co+1.88+ site, Co+1.88+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–2.22 Å. In the fourth Co+1.88+ site, Co+1.88+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.95 Å. In the fifth Co+1.88+ site, Co+1.88+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.90 Å) and one longer (1.98 Å) Co–O bond length. In the sixth Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.80–1.93 Å. In the seventh Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.83–1.98 Å. In the eighth Co+1.88+ site, Co+1.88+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.83–1.92 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 7-coordinate geometry to five Li1+ and one Co+1.88+ atom. In the second O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with five OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. In the third O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and an edgeedge with one OLi4Co trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–63°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 48–62°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 47–62°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form OLi4Co2 octahedra that share corners with five OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with seven OLi4Co2 octahedra and edges with two OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–62°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with six OLi4Co2 octahedra, edges with two OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with six OLi4Co2 octahedra, edges with two OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 39–62°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+1.88+ atom. In the eleventh O2- site, O2- is bonded in a 7-coordinate geometry to five Li1+ and two Co+1.88+ atoms. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 48–62°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–64°. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+1.88+ atom. In the fifteenth O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Co+1.88+ atom. In the sixteenth O2- site, O2- is bonded to four Li1+ and one Co+1.88+ atom to form distorted OLi4Co trigonal bipyramids that share corners with five OLi4Co2 octahedra and edges with two OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 47–72°. In the seventeenth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with six OLi4Co2 octahedra, an edgeedge with one OLi5Co octahedra, an edgeedge with one OLi4Co trigonal bipyramid, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. In the eighteenth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form OLi5Co octahedra that share corners with six OLi4Co2 octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 37–62°.

36 MATERIALS SCIENCE↗

Materials Data on Li8MnFe7(BO3)8 by Materials Project

Li8MnFe7(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 corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.05 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 FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.05 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 FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.07 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 1.95–2.07 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 two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.05 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 1.91–2.04 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 1.94–2.06 Å. In the eighth 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 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. 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 2.09–2.28 Å. There are seven 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 2.02–2.25 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 2.01–2.28 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 2.02–2.26 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 2.02–2.25 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 2.02–2.25 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, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.29 Å. In the seventh 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 2.01–2.29 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 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 two shorter (1.39 Å) and one 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 is two shorter (1.39 Å) and one 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 two shorter (1.39 Å) and one 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 to two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate 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 two Li1+, one Fe2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the ninth 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 tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with three OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the twelfth 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 thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, 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 in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twentieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Co2Si3O10 by Materials Project

Li3Co2Si3O10 is Chalcostibite-derived structured and 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 trigonal pyramids that share corners with four SiO4 tetrahedra, corners with three equivalent CoO5 trigonal bipyramids, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. 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 five O2- atoms to form distorted LiO5 square pyramids that share corners with five SiO4 tetrahedra, a cornercorner with one CoO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one SiO4 tetrahedra, and an edgeedge with one CoO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.30 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO5 square pyramid, corners with four SiO4 tetrahedra, corners with three equivalent CoO5 trigonal bipyramids, an edgeedge with one CoO5 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. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four SiO4 tetrahedra, corners with three equivalent CoO5 trigonal bipyramids, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.38 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four SiO4 tetrahedra, corners with three equivalent CoO5 trigonal bipyramids, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. There are four inequivalent Co+2.50+ sites. In the first Co+2.50+ site, Co+2.50+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share corners with five SiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 square pyramid, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 2.01–2.24 Å. In the second Co+2.50+ site, Co+2.50+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share a cornercorner with one LiO5 square pyramid, corners with five SiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 1.86–2.29 Å. In the third Co+2.50+ site, Co+2.50+ is bonded to five O2- atoms to form distorted CoO5 trigonal bipyramids that share corners with five SiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 1.91–2.47 Å. In the fourth Co+2.50+ site, Co+2.50+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share corners with five SiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CoO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 1.99–2.22 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two SiO4 tetrahedra and corners with two CoO5 trigonal bipyramids. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with four CoO5 trigonal bipyramids, and corners with four LiO4 trigonal pyramids. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one LiO5 square pyramid, a cornercorner with one SiO4 tetrahedra, corners with four CoO5 trigonal bipyramids, and corners with four LiO4 trigonal pyramids. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra, corners with four CoO5 trigonal bipyramids, and corners with four LiO4 trigonal pyramids. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with four CoO5 trigonal bipyramids, and corners with four LiO4 trigonal pyramids. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two SiO4 tetrahedra, corners with two CoO5 trigonal bipyramids, and an edgeedge with one LiO5 square pyramid. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co+2.50+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co+2.50+, and one Si4+ atom. In the third O2- site, O2- is bonded to two Li1+, one Co+2.50+, and one Si4+ atom to form distorted OLi2CoSi tetrahedra that share corners with three equivalent OLiCo2Si tetrahedra and edges with two OLi2CoSi tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+, one Co+2.50+, and one Si4+ atom to form distorted edge-sharing OLi2CoSi tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded to one Li1+, two Co+2.50+, and one Si4+ atom to form a mixture of distorted edge and corner-sharing OLiCo2Si tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Co+2.50+, and one Si4+ atom to form a mixture of distorted edge and corner-sharing OLiCo2Si tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co+2.50+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.50+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Co+2.50+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co+2.50+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Co+2.50+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Co+2.50+, and one Si4+ atom to form a mixture of distorted edge and corner-sharing OLiCo2Si tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded to two Li1+, one Co+2.50+, and one Si4+ atom to form distorted OLi2CoSi tetrahedra that share corners with three equivalent OLiCo2Si tetrahedra and an edgeedge with one OLi2CoSi tetrahedra. In the eighteenth O2- site, O2- is bonded to two Li1+, one Co+2.50+, and one Si4+ atom to form distorted OLi2CoSi tetrahedra that share corners with three equivalent OLiCo2Si tetrahedra and edges with two OLi2CoSi tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co+2.50+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co+2.50+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Al(FeO3)2 by Materials Project

Li3Al(FeO3)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, corners with two equivalent AlO5 trigonal bipyramids, corners with four FeO5 trigonal bipyramids, an edgeedge with one AlO5 trigonal bipyramid, edges with two equivalent FeO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.11 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, corners with two equivalent AlO5 trigonal bipyramids, corners with four FeO5 trigonal bipyramids, an edgeedge with one AlO5 trigonal bipyramid, edges with two equivalent FeO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.26 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with four LiO5 trigonal bipyramids, corners with four FeO5 trigonal bipyramids, edges with two LiO5 trigonal bipyramids, edges with two FeO5 trigonal bipyramids, and edges with two equivalent AlO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.13 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent AlO5 trigonal bipyramids, corners with six LiO5 trigonal bipyramids, an edgeedge with one AlO5 trigonal bipyramid, edges with two FeO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.10 Å. In the second Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent AlO5 trigonal bipyramids, corners with six LiO5 trigonal bipyramids, an edgeedge with one AlO5 trigonal bipyramid, edges with two FeO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.10 Å. Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share corners with four LiO5 trigonal bipyramids, corners with four FeO5 trigonal bipyramids, edges with two FeO5 trigonal bipyramids, and edges with four LiO5 trigonal bipyramids. There are a spread of Al–O bond distances ranging from 1.81–2.02 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, two Fe3+, and one Al3+ atom to form OLi2AlFe2 trigonal bipyramids that share corners with eight OLi2AlFe2 trigonal bipyramids and edges with six OLi3AlFe trigonal bipyramids. In the second O2- site, O2- is bonded to three Li1+, one Fe3+, and one Al3+ atom to form OLi3AlFe trigonal bipyramids that share corners with eight OLi3Fe2 trigonal bipyramids and edges with six OLi2AlFe2 trigonal bipyramids. In the third O2- site, O2- is bonded to two Li1+, two equivalent Fe3+, and one Al3+ atom to form OLi2AlFe2 trigonal bipyramids that share corners with eight OLi3Fe2 trigonal bipyramids and edges with six OLi2AlFe2 trigonal bipyramids. In the fourth O2- site, O2- is bonded to three Li1+, one Fe3+, and one Al3+ atom to form OLi3AlFe trigonal bipyramids that share corners with eight OLi3Fe2 trigonal bipyramids and edges with six OLi2AlFe2 trigonal bipyramids. In the fifth O2- site, O2- is bonded to three Li1+ and two Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe2 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two Li1+, two equivalent Fe3+, and one Al3+ atom to form OLi2AlFe2 trigonal bipyramids that share corners with eight OLi3Fe2 trigonal bipyramids and edges with six OLi2AlFe2 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Co7O16 by Materials Project

Li4Co7O16 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. There are fourteen inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.92 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.94 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.94 Å. In the fifth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the sixth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.92 Å. In the seventh Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Co–O bond distances ranging from 1.81–1.94 Å. In the eighth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.94 Å. In the ninth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.95 Å. In the tenth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.81–1.93 Å. In the eleventh Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.81–1.93 Å. In the twelfth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.95 Å. In the thirteenth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.94 Å. In the fourteenth Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Co–O bond distances ranging from 1.81–1.94 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLi2Co2 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form a mixture of distorted edge and corner-sharing OLi2Co2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co4+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted corner-sharing OLiCo3 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Co4+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Co4+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted corner-sharing OLiCo3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co4+ atoms. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with three OLi2Co2 trigonal pyramids, and edges with three OLiCo3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLi2Co2 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLiCo3 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLi2Co2 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra and corners with six OLi2Co2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the twenty-first O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLiCo3 trigonal pyramids, and edges with two OCo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Co4+ atoms to form distorted OCo4 trigonal pyramids that share corners with five OLiCo3 trigonal pyramids and edges with two OLi2Co2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLi2Co2 trigonal pyramids, and edges with two OCo4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-sixth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLiCo3 trigonal pyramids, and edges with two OLi2Co2 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to four Co4+ atoms to form distorted OCo4 trigonal pyramids that share corners with five OLiCo3 trigonal pyramids and edges with two OLi2Co2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLi2Co2 trigonal pyramids, and edges with two OCo4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra and corners with six OLi2Co2 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLi2Co2 trigonal pyramids,

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 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 1.91–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 1.93–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 1.93–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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, 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 1.95–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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. 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the eighth 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 1.95–2.10 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.30 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, 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 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, 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 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, 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 2.08–2.31 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 2.03–2.28 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 2.01–2.26 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 2.02–2.29 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 (1.38 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 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 is two shorter (1.39 Å) and one 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 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 1.38–1.41 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 1.38–1.41 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+, one Mn2+, one Fe2+, 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+, 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+, two Mn2+, 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+, 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 in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. 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+, two Mn2+, 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 distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. 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 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+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-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.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn8(BO3)8 by Materials Project

Li5Mn8(BO3)8 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 distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one 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 1.95–2.13 Å. In the third 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 MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.94–2.13 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 1.90–2.08 Å. There are eight inequivalent Mn+2.38+ sites. In the first Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two equivalent 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 1.92–2.16 Å. In the second Mn+2.38+ site, Mn+2.38+ 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.99–2.21 Å. In the third Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.93–2.06 Å. In the fourth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.23 Å. In the fifth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two 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 2.07–2.20 Å. In the sixth Mn+2.38+ site, Mn+2.38+ 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 2.07–2.21 Å. In the seventh Mn+2.38+ site, Mn+2.38+ 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 2.07–2.30 Å. In the eighth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, 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 2.10–2.24 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 are a spread of B–O bond distances ranging from 1.37–1.41 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 1.36–1.43 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 are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 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 1.35–1.42 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 1.37–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.38+, and one B3+ atom to form distorted OLi2MnB tetrahedra that share corners with two equivalent OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn+2.38+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLi2MnB trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with two OLiMn2B tetrahedra and an edgeedge with one OLi2MnB trigonal pyramid. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with four OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with two OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid.

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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.05 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 1.95–2.05 Å. In the third 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 1.94–2.05 Å. In the fourth 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the fifth 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 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 1.94–2.04 Å. In the seventh 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 1.95–2.05 Å. In the eighth 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.07 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 2.08–2.43 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 FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.47 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 2.07–2.45 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 2.07–2.43 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, 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 2.08–2.43 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.42 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 2.03–2.40 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 2.00–2.42 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 (1.38 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 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 1.38–1.41 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 1.38–1.40 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 1.38–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 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 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+, one Mn2+, one 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+, one Mn2+, one Fe2+, 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+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB 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+, two Mn2+, 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+, one Mn2+, one Fe2+, 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 Mn2+, 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+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB 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+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗