Search NASA⌕ Search

SEARCH · Search NASA

Results for “trigonal”

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

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

At least 271 records · Page 15

Materials Data on Gd3Y5O12 by Materials Project

Gd3Y5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.39 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Gd–O bond distances ranging from 2.30–2.38 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the fourth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.37 Å. In the fifth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the sixth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. There are ten inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.28–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are one shorter (2.30 Å) and five longer (2.31 Å) Y–O bond lengths. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the second O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the third O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids.

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 distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.15 Å. In the third 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 1.98–2.11 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 1.95–2.08 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 1.91–2.02 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 2.00–2.15 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 1.98–2.33 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 two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.32 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.27 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 1.91–2.15 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share 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 1.91–2.11 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 two equivalent 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 2.01–2.22 Å. In the seventh 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, a cornercorner with one LiO4 trigonal pyramid, 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 2.01–2.24 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, 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 2.02–2.21 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 1.37–1.43 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is 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 (1.38 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 1.37–1.42 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 1.36–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one 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 in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two 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 rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. 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 distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(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 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 1.94–2.17 Å. In the second 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 1.96–2.14 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.91–2.56 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 1.93–2.05 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 2.03–2.23 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.16 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share 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 1.98–2.25 Å. In the fifth Fe+2.38+ site, Fe+2.38+ 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 1.91–2.21 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, 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 1.88–2.09 Å. In the seventh Fe+2.38+ site, Fe+2.38+ 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 2.02–2.21 Å. In the eighth Fe+2.38+ site, Fe+2.38+ 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, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.23 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 1.35–1.44 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 1.38–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 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 1.38–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 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 (1.36 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 1.36–1.41 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 1.37–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, 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+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, 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+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn7Fe(BO3)8 by Materials Project

Li8Mn7Fe(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 equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the 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 MnO5 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 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 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 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. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. There are seven 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.28 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, 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 seventh Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the third O2- site, O2- is bonded 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+, two Mn2+, 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 Mn2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded 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 Mn2+, 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+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-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 twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(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 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 1.93–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four 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 third 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 2.00–2.70 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.91–2.66 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.09 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted 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 1.99–2.30 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.31 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.11 Å. In the fourth Fe+2.38+ site, Fe+2.38+ 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 1.95–2.08 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 1.98–2.25 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the eighth Fe+2.38+ site, Fe+2.38+ 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 1.88–2.17 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 are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.39 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 1.37–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 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 1.38–1.41 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 (1.39 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 Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted OLi2FeB tetrahedra that share corners with two equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ 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+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe+2.38+, 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 Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn8(BO3)8 by Materials Project

Li7Mn8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.10 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.09 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 1.95–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids 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 1.89–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. There are eight inequivalent Mn+2.12+ sites. In the first Mn+2.12+ site, Mn+2.12+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three 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 2.08–2.30 Å. In the second Mn+2.12+ site, Mn+2.12+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three 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 2.07–2.32 Å. In the third Mn+2.12+ site, Mn+2.12+ 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 1.97–2.07 Å. In the fourth Mn+2.12+ site, Mn+2.12+ 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 2.11–2.32 Å. In the fifth Mn+2.12+ site, Mn+2.12+ 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 2.08–2.29 Å. In the sixth Mn+2.12+ site, Mn+2.12+ 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 2.04–2.30 Å. In the seventh Mn+2.12+ site, Mn+2.12+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three 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 2.09–2.26 Å. In the eighth Mn+2.12+ site, Mn+2.12+ is bonded to five O2- atoms to form 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 2.10–2.31 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 are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.44 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.42 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 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.12+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Mn+2.12+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the third O2- site, O2- is bonded to one Li1+, two Mn+2.12+, 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+, two Mn+2.12+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.12+, and one B3+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn+2.12+, and one B3+ atom to form distorted OLi2MnB tetrahedra that share corners with three OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.12+, and one B3+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+2.12+, 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 ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.12+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.12+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Mn+2.12+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.12+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.12+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.12+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.12+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.12+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.12+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.12+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one Mn+2.12+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.12+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.12+, 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 Mn+2.12+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.12+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.12+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn5Fe3(BO3)8 by Materials Project

Li8Mn5Fe3(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 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 2.09–2.43 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 MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.40 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 2.09–2.40 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.39 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 2.02–2.41 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.05–2.47 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 2.00–2.38 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 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 are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 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+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B 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+, two Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one 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 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+, two Mn2+, 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 to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B 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+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two 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 Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 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 1.89–2.15 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.15 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.11 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.99–2.05 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.20 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.23 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.21 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 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 1.37–1.40 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 1.37–1.41 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 1.34–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one 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 1.34–1.41 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 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 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 1.35–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn4(P2O7)4 by Materials Project

Li7Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first 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 1.95–2.35 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.02 Å. In the third 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 1.96–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the seventh 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 1.96–2.32 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.41 Å. In the eleventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.43 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the thirteenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.65 Å. In the fourteenth 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 1.91–2.43 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.12–2.31 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.19 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.09–2.24 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.05–2.20 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.32 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.14–2.77 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.17–2.25 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.16–2.34 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 24–56°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.51–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 35–51°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 59°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that shar

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(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 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 1.92–2.07 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 1.95–2.17 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.91–2.11 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 1.95–2.11 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 FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ 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 1.97–2.32 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.34 Å. In the third Fe+2.38+ site, Fe+2.38+ 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 1.96–2.23 Å. In the fourth Fe+2.38+ site, Fe+2.38+ 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 1.92–2.10 Å. In the fifth Fe+2.38+ site, Fe+2.38+ 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 1.85–2.13 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.37 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.85–2.10 Å. In the eighth Fe+2.38+ site, Fe+2.38+ 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 2.02–2.28 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 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 1.36–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the seventh 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. 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 1.36–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Fe+2.38+, 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 second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.38+, 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 fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.38+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe+2.38+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, 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 eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe+2.38+, 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 twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on LiFe2(BO3)2 by Materials Project

LiFe2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.55 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 1.93–2.69 Å. In the third 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 1.91–2.07 Å. In the fourth 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 1.97–2.16 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share 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 1.98–2.28 Å. In the second Fe+2.50+ site, Fe+2.50+ 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 1.93–2.06 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted 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 1.94–2.30 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, 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 1.94–2.24 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.13 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share edges with two FeO5 trigonal bipyramids and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.99–2.25 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.07 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 (1.38 Å) and one longer (1.42 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 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 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.39 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 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 1.35–1.43 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 1.36–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom.

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 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 1.92–2.52 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.32 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 1.95–2.61 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 distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.29 Å. In the second 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, 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 1.90–2.10 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 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 1.99–2.26 Å. In the fourth 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 1.95–2.05 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.09 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share 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 1.98–2.29 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 LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.13 Å. In the eighth 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 1.86–2.08 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 (1.36 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 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 1.35–1.44 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 1.36–1.43 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 1.36–1.43 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 1.37–1.41 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 1.37–1.39 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 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 3-coordinate 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 in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ 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+2.62+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the eleventh 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 twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, 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 in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, 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 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn10Cr6O32 by Materials Project

Li7Cr6Mn10O32 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CrO6 octahedra and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five CrO6 octahedra and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six CrO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with six CrO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. There are six inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are four shorter (2.01 Å) and two longer (2.02 Å) Cr–O bond lengths. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are three shorter (2.01 Å) and three longer (2.02 Å) Cr–O bond lengths. In the fifth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.03 Å. In the sixth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. There are ten inequivalent Mn+2.10+ sites. In the first Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CrO6 octahedra. There is two shorter (1.94 Å) and four longer (1.96 Å) Mn–O bond length. In the second Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the third Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fourth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the fifth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the sixth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the seventh Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the eighth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the ninth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the tenth Mn+2.10+ site, Mn+2.10+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with three CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Mn+2.10+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Mn+2.10+ atoms. In the third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr tetrahedra that share corners with eight OLiMnCr2 trigonal pyramids, an edgeedge with one OLiMn2Cr tetrahedra, and edges with two OLiMn2Cr trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with seven OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with seven OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn2Cr trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+2.10+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMn2Cr trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with five OLiMn2Cr tetrahedra and corners with seven OLiMnCr2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share a cornercorner with one OLiMn2Cr tetrahedra, corners with eleven OLiMnCr2 trigonal pyramids, and edges with three OLiMnCr2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form distorted OLiMnCr2 trigonal pyramids that share corners with twelve OLiMnCr2 trigonal pyramids and edges with three OLiMn2Cr trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form a mixture of distorted corner and edge-sharing OLiMn2Cr trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.10+ atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with nine OLiMnCr2 trigonal pyramids, edges with two OLiMn2Cr tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Cr6+, and one Mn+2.10+ atom to form a mixture of distorted corner and edge-sharing OLiMnCr2 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+2.10+ atoms to form distorted OLiMn3 trigonal pyramids

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, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.53 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.90–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids 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 1.91–2.43 Å. In the fourth 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 1.90–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.97–2.12 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 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 1.93–2.07 Å. In the second 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 2.03–2.22 Å. In the third 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, 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 fourth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three 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 1.95–2.12 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 three 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 2.13–2.26 Å. In the sixth 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, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.24 Å. In the seventh 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, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.34 Å. In the eighth 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 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 1.96–2.03 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 1.34–1.44 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 1.35–1.40 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 1.38–1.42 Å. In the fifth 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 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 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 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 1.34–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate 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 two Mn+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the seventh 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 eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the ninth 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 tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the eleventh 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 twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the fourteenth 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 fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the seventeenth 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 eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the nineteenth 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 twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.38+, and one B3+ atom. 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 in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe(BO3)4 by Materials Project

Li4Mn3Fe(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share 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 1.96–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one 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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 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 1.94–2.06 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 corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.43 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 MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.41 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 2.08–2.44 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.40 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, 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 2.07–2.46 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.40 Å. There are two inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.41 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.40 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 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 1.38–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. 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 are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, 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+, two Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, 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+, two Mn2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one 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+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, 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 Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.12 Å. In the second Li1+ site, Li1+ is bonded in a rectangular 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 third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with nine TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–58°. There are a spread of Li–O bond distances ranging from 2.07–2.62 Å. In the fifth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with nine TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–54°. There are a spread of Li–O bond distances ranging from 2.10–2.55 Å. In the seventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.13 Å. There are fourteen inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Ti–O bond distances ranging from 1.96–2.10 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. In the third Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the fourth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with two LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the fifth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.05 Å. In the sixth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.98–2.04 Å. In the seventh Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the eighth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Ti–O bond distances ranging from 2.03–2.07 Å. In the ninth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ti–O bond distances ranging from 2.00–2.08 Å. In the tenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with six TiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the eleventh Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the twelfth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with six TiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the thirteenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–O bond distances ranging from 1.96–2.11 Å. In the fourteenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the second O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with three OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and edges with two OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLi2Ti3 trigonal bipyramid, and edges with two OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form OLiTi3 trigonal pyramids that share corners with three OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, an edgeedge with one OLi2Ti3 square pyramid, and edges with three OLi2Ti3 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share a cornercorner with one OLi2Ti3 square pyramid, corners with two OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and edges with two OLiTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, a cornercorner with one OLiTi3 trigonal pyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, and a cornercorner with one OLiTi3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share a cornercorner with one OLi2Ti3 square pyramid and an edgeedge with one OLiTi3 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-second O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, an edgeedge with one OLi2Ti3 square pyramid, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-eighth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, edges w

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 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 1.91–2.22 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids 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 1.91–2.26 Å. In the third 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 1.92–2.22 Å. In the fourth 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 1.96–2.17 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share 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 1.96–2.07 Å. In the second Mn+2.50+ site, Mn+2.50+ 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 2.06–2.20 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.07 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share 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 1.97–2.07 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.26 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two 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 2.03–2.23 Å. In the seventh Mn+2.50+ site, Mn+2.50+ 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 1.94–2.06 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.33 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 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 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 1.34–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 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 1.36–1.42 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 1.34–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.87–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form 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 1.94–2.08 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.17 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.25 Å. In the fourth Mn+2.50+ site, Mn+2.50+ 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 1.95–2.11 Å. In the fifth Mn+2.50+ site, Mn+2.50+ 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 2.04–2.28 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form 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 1.98–2.08 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one 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 2.04–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 1.34–1.44 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 1.35–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 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 1.37–1.41 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 1.37–1.42 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 1.34–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗