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Materials Data on YAl6Si30(N15O)3 by Materials Project

YAl6Si30(N15O)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Y is bonded in a 7-coordinate geometry to seven N atoms. There are a spread of Y–N bond distances ranging from 2.31–2.68 Å. There are six inequivalent Al sites. In the first Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN3O tetrahedra. There are a spread of Al–N bond distances ranging from 1.79–1.84 Å. The Al–O bond length is 1.89 Å. In the second Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.81–1.88 Å. The Al–O bond length is 1.89 Å. In the third Al site, Al is bonded to three N and one O atom to form AlN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.92 Å. The Al–O bond length is 1.89 Å. In the fourth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with eight SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.84–1.86 Å. In the fifth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.80–1.93 Å. In the sixth Al site, Al is bonded to four N atoms to form AlN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.82–1.88 Å. There are thirty inequivalent Si sites. In the first Si site, Si is bonded to three N and one O atom to form corner-sharing SiN3O tetrahedra. There is one shorter (1.71 Å) and two longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.82 Å. In the second Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.74 Å. The Si–O bond length is 1.75 Å. In the third Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.79 Å. The Si–O bond length is 1.71 Å. In the fourth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There is two shorter (1.70 Å) and one longer (1.73 Å) Si–N bond length. The Si–O bond length is 1.86 Å. In the fifth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.80 Å. In the sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN4 tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.78 Å. In the seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.79 Å. In the eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with four AlN3O tetrahedra and corners with four SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.82 Å. In the ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the tenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.79 Å. In the eleventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.68–1.79 Å. In the twelfth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is three shorter (1.76 Å) and one longer (1.78 Å) Si–N bond length. In the thirteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is two shorter (1.76 Å) and two longer (1.77 Å) Si–N bond length. In the fourteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.79 Å. In the fifteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the sixteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.81 Å. In the seventeenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.79 Å. In the eighteenth Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.77 Å. In the nineteenth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.84 Å. In the twentieth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN3O tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.79 Å. In the twenty-first Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Si–N bond length. In the twenty-second Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Si–N bond length. In the twenty-third Si site, Si is bonded to four N atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.74–1.81 Å. In the twenty-fourth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.77 Å. In the twenty-fifth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with three AlN3O tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-sixth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.80 Å. In the twenty-seventh Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.77 Å. In the twenty-eighth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.71–1.80 Å. In the twenty-ninth Si site, Si is bonded to four N atoms to form SiN4 tetrahedra that share corners with two AlN3O tetrahedra and corners with six SiN3O tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.79 Å. In the thirtieth Si site, Si is bonded to three N and one O atom to form SiN3O tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with seven SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.70–1.75 Å. The Si–O bond length is 1.82 Å. There are forty-five inequivalent N sites. In the first N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the second N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fourth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fifth N site, N is bonded in a distorted trigonal planar geometry to one Y and three Si atoms. In the sixth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the seventh N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the eighth N site, N is bonded in a 4-coordinate geometry to one Y, two Al, and one Si atom. In the ninth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the tenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eleventh N site, N is bonded in a trigonal non-coplanar geometry to one Al and two Si atoms. In the twelfth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fourteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the fifteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the sixteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the seventeenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the eighteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the nineteenth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twentieth N site, N is bonded to one Y and three Si atoms to form distorted corner-sharing NYSi3 trigonal pyramids. In the twenty-first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-second N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-third N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fourth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-fifth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-sixth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-seventh N site, N is bonded in a distorted trigonal planar geometry to one Y and three Si atoms. In the twenty-eighth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the twenty-ninth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirtieth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-first N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-second N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the thirty-third N site, N is bonded to one Y, one Al, and two Si atoms to form NYAlSi2 tetrahedra that share a cornercorner with one NYAl2Si tetrahedra and corners with two NYAlSi2 trigonal pyramids. In the thirty-fourth N site, N is bonded in a trigonal planar geometry to three Si atoms. In the thirty-fifth N site, N is bonded in a trigonal planar geometry to one Al and two Si atoms. In the thirty-sixth N site, N is bonded to o

36 MATERIALS SCIENCE↗

Materials Data on Na13Ca7S12Cl2O48F by Materials Project

Na13Ca7S12O48Cl2F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na sites. In the first Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.29–2.91 Å. The Na–Cl bond length is 2.62 Å. In the second Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.29–2.81 Å. The Na–Cl bond length is 2.62 Å. In the third Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.29–2.87 Å. The Na–Cl bond length is 2.62 Å. In the fourth Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.32–2.78 Å. The Na–Cl bond length is 2.62 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.50–2.91 Å. In the sixth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.49–2.62 Å. In the seventh Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.40–2.98 Å. In the eighth Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with four SO4 tetrahedra and an edgeedge with one SO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.38–2.75 Å. In the ninth Na site, Na is bonded in a 7-coordinate geometry to six O and one Cl atom. There are a spread of Na–O bond distances ranging from 2.33–2.91 Å. The Na–Cl bond length is 2.61 Å. In the tenth Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.51–2.82 Å. In the eleventh Na site, Na is bonded in a 6-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.48–2.98 Å. In the twelfth Na site, Na is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Na–O bond distances ranging from 2.53–2.79 Å. In the thirteenth Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share a cornercorner with one CaClO6 pentagonal bipyramid, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.32–2.69 Å. There are seven inequivalent Ca sites. In the first Ca site, Ca is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.79 Å. In the second Ca site, Ca is bonded in a 7-coordinate geometry to six O and one F atom. There are a spread of Ca–O bond distances ranging from 2.36–2.73 Å. The Ca–F bond length is 2.35 Å. In the third Ca site, Ca is bonded to six O and one Cl atom to form distorted CaClO6 pentagonal bipyramids that share a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one CaO6 pentagonal pyramid, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.65 Å. The Ca–Cl bond length is 2.60 Å. In the fourth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.49 Å. In the fifth Ca site, Ca is bonded in a 7-coordinate geometry to six O and one F atom. There are a spread of Ca–O bond distances ranging from 2.39–2.75 Å. The Ca–F bond length is 2.34 Å. In the sixth Ca site, Ca is bonded to six O atoms to form distorted CaO6 pentagonal pyramids that share a cornercorner with one CaClO6 pentagonal bipyramid, corners with four SO4 tetrahedra, and an edgeedge with one SO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.57 Å. In the seventh Ca site, Ca is bonded in a 7-coordinate geometry to six O and one F atom. There are a spread of Ca–O bond distances ranging from 2.41–2.67 Å. The Ca–F bond length is 2.34 Å. There are twelve inequivalent S sites. In the first S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one CaO6 pentagonal pyramid, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.53 Å. In the second S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the third S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one CaO6 pentagonal pyramid, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.47–1.52 Å. In the fourth S site, S is bonded in a tetrahedral geometry to four O atoms. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the fifth S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the sixth S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one CaClO6 pentagonal bipyramid and a cornercorner with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the seventh S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one CaClO6 pentagonal bipyramid, corners with two NaO6 pentagonal pyramids, and an edgeedge with one CaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the eighth S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one CaClO6 pentagonal bipyramid. There is one shorter (1.48 Å) and three longer (1.50 Å) S–O bond length. In the ninth S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one CaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the tenth S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one CaClO6 pentagonal bipyramid and a cornercorner with one CaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.50 Å. In the eleventh S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the twelfth S site, S is bonded to four O atoms to form SO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid and an edgeedge with one CaClO6 pentagonal bipyramid. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 1-coordinate geometry to two Na and one S atom. In the second O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the third O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the fifth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the sixth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the seventh O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the eighth O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the ninth O site, O is bonded in a 4-coordinate geometry to two Na and one S atom. In the tenth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the eleventh O site, O is bonded in a 1-coordinate geometry to two Na and one S atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the thirteenth O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the fourteenth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the fifteenth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Na and one S atom. In the seventeenth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the eighteenth O site, O is bonded in a distorted tetrahedral geometry to two Na, one Ca, and one S atom. In the nineteenth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the twentieth O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the twenty-first O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the twenty-second O site, O is bonded in a 1-coordinate geometry to two Na and one S atom. In the twenty-third O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the twenty-fourth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the twenty-fifth O site, O is bonded in a 1-coordinate geometry to two Ca and one S atom. In the twenty-sixth O site, O is bonded in a 1-coordinate geometry to one Na, one Ca, and one S atom. In the twenty-seventh O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the twenty-eighth O site, O is bonded in a 1-coordinate geometry to one Na, two Ca, and one S atom. In the twenty-ninth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the thirtieth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Ca, and one S atom. In the thirty-second O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-third O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Ca, and one S atom. In the thirty-fourth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-fifth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-sixth O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the thirty-seventh O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-eighth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the thirty-ninth O site, O is bonded in a 1-coordinate geometry to two Na and one S atom. In the fortieth O site, O is bonded in a 4-coordinate geometry to one Na, two Ca, and one S atom. In the forty-first O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the forty-second O site, O is bonded in a 4-coordinate geometry to three Na and one S atom. In the forty-third O site, O is bonded in a 4-coordinate geometry to one Na, two Ca, and one S atom. In the forty-fourth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the forty-fifth O site, O is bonded in a 1-coordinate geometry to one Na, one Ca, and one S atom. In the forty-sixth O site, O is bonded in a 4-coordinate geometry to two Na, one Ca, and one S atom. In the forty-seventh O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. In the forty-eighth O site, O is bonded in a 1-coordinate geometry to two Na, one Ca, and one S atom. There are two inequivalent Cl sites. In the first Cl site, Cl is bonded in a trigonal non-coplanar geometry to three Na atoms. In the second Cl site, Cl is bonded in a trigonal planar geometry to two Na and one Ca atom. F is bonded in a trigonal p

36 MATERIALS SCIENCE↗

Materials Data on BaNa5Ca7P6(O8F)3 by Materials Project

Na5BaCa7P6(O8F)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.89 Å. There are one shorter (2.32 Å) and one longer (2.69 Å) Na–F bond lengths. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.29–2.89 Å. There are one shorter (2.28 Å) and one longer (2.69 Å) Na–F bond lengths. In the third Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.89 Å. There are one shorter (2.30 Å) and one longer (2.64 Å) Na–F bond lengths. In the fourth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.80 Å. There are one shorter (2.28 Å) and one longer (2.59 Å) Na–F bond lengths. In the fifth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.82 Å. There are one shorter (2.33 Å) and one longer (2.63 Å) Na–F bond lengths. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.81 Å. There are one shorter (2.31 Å) and one longer (2.62 Å) Na–F bond lengths. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.91 Å. There are one shorter (2.30 Å) and one longer (2.65 Å) Na–F bond lengths. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.81 Å. There are one shorter (2.32 Å) and one longer (2.61 Å) Na–F bond lengths. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.90 Å. There are one shorter (2.32 Å) and one longer (2.71 Å) Na–F bond lengths. In the tenth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.90 Å. There are one shorter (2.31 Å) and one longer (2.71 Å) Na–F bond lengths. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.86 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–2.86 Å. There are fourteen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.39–2.50 Å. The Ca–F bond length is 2.47 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.39–2.48 Å. The Ca–F bond length is 2.42 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.36–2.48 Å. The Ca–F bond length is 2.42 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.81 Å. There are one shorter (2.23 Å) and one longer (2.59 Å) Ca–F bond lengths. In the fifth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.52 Å. The Ca–F bond length is 2.38 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.50 Å. The Ca–F bond length is 2.37 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.34–2.50 Å. The Ca–F bond length is 2.38 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.52 Å. The Ca–F bond length is 2.38 Å. In the ninth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.50 Å. The Ca–F bond length is 2.37 Å. In the tenth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.35–2.52 Å. The Ca–F bond length is 2.38 Å. In the eleventh Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to five O2- and two F1- atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.79 Å. There are one shorter (2.23 Å) and one longer (2.56 Å) Ca–F bond lengths. In the twelfth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.48 Å. The Ca–F bond length is 2.42 Å. In the thirteenth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.38–2.51 Å. The Ca–F bond length is 2.48 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to six O2- and one F1- atom to form distorted CaO6F pentagonal bipyramids that share corners with four PO4 tetrahedra, edges with two CaO6F pentagonal bipyramids, an edgeedge with one PO4 tetrahedra, and faces with two CaO6F pentagonal bipyramids. There are a spread of Ca–O bond distances ranging from 2.37–2.48 Å. The Ca–F bond length is 2.41 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids and edges with three CaO6F pentagonal bipyramids. All P–O bond lengths are 1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CaO6F pentagonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CaO6F pentagonal bipyramids. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+, one Ca2+, and one P5+ atom to form ONa2CaP tetrahedra that share corners with six FNa2Ca4 octahedra. The corner-sharing octahedra tilt angles range from 12–62°. In the second O2- site, O2- is bonded to three Ca2+ and one P5+ atom to form distorted OCa3P tetrahedra that share corners with two equivalent FNa3Ca3 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Ca2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Ca2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+, two Ca2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ca2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Ca2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Ca2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one P5+ atom. In the tenth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form ONa3P tetrahedra that share corners wit

36 MATERIALS SCIENCE↗

Materials Data on Zr12Si2Bi2P16PbO72 by Materials Project

Zr12PbSi2Bi2P16O72 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zr sites. In the first Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.19 Å. In the second Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.00–2.28 Å. In the third Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.99–2.17 Å. In the fourth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.26 Å. In the fifth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.96–2.27 Å. In the sixth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.07–2.14 Å. In the seventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.15 Å. In the eighth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.03–2.18 Å. In the ninth Zr site, Zr is bonded to six O atoms to form distorted ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 1.96–2.31 Å. In the tenth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share a cornercorner with one SiO4 tetrahedra and corners with five PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.02–2.16 Å. In the eleventh Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.04–2.16 Å. In the twelfth Zr site, Zr is bonded to six O atoms to form ZrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Zr–O bond distances ranging from 2.06–2.13 Å. Pb is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Pb–O bond distances ranging from 2.57–2.64 Å. There are two inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–46°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–45°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.27–2.66 Å. In the second Bi site, Bi is bonded in a distorted hexagonal planar geometry to six O atoms. There are a spread of Bi–O bond distances ranging from 2.29–2.64 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–44°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–44°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 26–43°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–42°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 22–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 20–45°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–35°. There is three shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–35°. There is three shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–34°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–36°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fifth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eighth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the ninth O site, O is bonded in a 3-coordinate geometry to one Zr, one Si, and one Bi atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the seventeenth O site, O is bonded in a 2-coordinate geometry to one Zr, one Bi, and one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the nineteenth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-fourth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to one Zr, one Bi, and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the twenty-ninth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirtieth O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the thirty-second O site, O is bonded in a 3-coordinate geometry to one Zr, one Si, and one Bi atom. In the thirty-third O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-sixth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-seventh O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-eighth O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the thirty-ninth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the fortieth O site, O is bonded in a bent 150 degrees geometry to one Zr and one Si atom. In the forty-first O site, O is bonded in a 2-coordinate geometry to one Zr, one Bi, and one P atom. In the forty-second O site, O is bonded in a bent 150 degrees geometry to one Zr and one P atom. In the forty-third O site, O is bonded in a 1-coordinate geometry to one Zr, one Bi, and one P atom. In the forty-fourth O site, O i

36 MATERIALS SCIENCE↗

Materials Data on Li11Sc7Ti(PO4)12 by Materials Project

Li11Sc7Ti(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.61 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two PO4 tetrahedra and a cornercorner with one TiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.22 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 1.92–2.47 Å. In the fourth 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 1.89–2.59 Å. In the fifth 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 2.02–2.26 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.55 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.27 Å. In the eighth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.56 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.77 Å. In the tenth 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 1.89–2.54 Å. In the eleventh 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 1.97–2.52 Å. There are seven inequivalent Sc3+ sites. In the first Sc3+ site, Sc3+ is bonded to five O2- atoms to form distorted ScO5 trigonal bipyramids that share a cornercorner with one PO4 tetrahedra and a cornercorner with one TiO5 trigonal bipyramid. There are a spread of Sc–O bond distances ranging from 1.94–2.41 Å. In the second Sc3+ site, Sc3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Sc–O bond distances ranging from 1.82–2.50 Å. In the third Sc3+ site, Sc3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sc–O bond distances ranging from 2.00–2.38 Å. In the fourth Sc3+ site, Sc3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sc–O bond distances ranging from 2.07–2.30 Å. In the fifth Sc3+ site, Sc3+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of Sc–O bond distances ranging from 1.81–2.63 Å. In the sixth Sc3+ site, Sc3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sc–O bond distances ranging from 1.94–2.58 Å. In the seventh Sc3+ site, Sc3+ is bonded to five O2- atoms to form distorted ScO5 trigonal bipyramids that share corners with two PO4 tetrahedra. There are a spread of Sc–O bond distances ranging from 2.04–2.19 Å. Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one PO4 tetrahedra, a cornercorner with one ScO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.75–2.20 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.65 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra, a cornercorner with one ScO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.50–1.70 Å. In the third P5+ site, P5+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.51–2.04 Å. In the fourth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO5 trigonal bipyramid and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the sixth P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the seventh P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.57–1.72 Å. In the eighth P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.50–1.67 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ScO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.50–1.67 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one ScO5 trigonal bipyramid and a cornercorner with one LiO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.51–1.68 Å. In the eleventh P5+ site, P5+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the twelfth P5+ site, P5+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.56–1.59 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Sc3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the third O2- site, O2- is bonded in a T-shaped geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Ti4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two P5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two P5+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sc3+ and one Ti4+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sc3+, and one Ti4+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Sc3+, one P5+, and one O2- atom. The O–O bond length is 1.50 Å. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Sc3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one Sc3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Sc3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+, one Sc3+, and one O2- atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Sc3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Sc3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sc3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Sc3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Sc3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Sc3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two P5+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Sc3+, and one O2- atom. The O–O bond length is 1.52 Å. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Sc3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one Sc3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sc3+, one P5+, and one O2- atom. The O–O bond length is 1.50 Å. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sc3+, one P5+, and one O2- atom. The O–O bond length is 1.49 Å. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Sc3+, one P5+, and one O2- atom. In the thirty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+ and two Sc3+ atoms. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sc3+, and one O2- atom. In the forty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Sc3+, and one O2- atom. In the forty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Sc3+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sc3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr51W12N56O3 by Materials Project

Sr51W12N56O3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twenty-six inequivalent Sr sites. In the first Sr site, Sr is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Sr–N bond distances ranging from 2.64–3.18 Å. In the second Sr site, Sr is bonded to four N and one O atom to form distorted SrN4O square pyramids that share a cornercorner with one SrN5O octahedra, a cornercorner with one SrN4O square pyramid, corners with four WN4 tetrahedra, a cornercorner with one SrN5 trigonal bipyramid, and an edgeedge with one SrN5O octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Sr–N bond distances ranging from 2.62–2.88 Å. The Sr–O bond length is 2.60 Å. In the third Sr site, Sr is bonded in a 5-coordinate geometry to five N atoms. There are a spread of Sr–N bond distances ranging from 2.67–3.07 Å. In the fourth Sr site, Sr is bonded in a 4-coordinate geometry to four N and one O atom. There are a spread of Sr–N bond distances ranging from 2.45–3.28 Å. The Sr–O bond length is 2.46 Å. In the fifth Sr site, Sr is bonded to six N atoms to form SrN6 octahedra that share corners with two SrN6 octahedra, a cornercorner with one SrN4O square pyramid, a cornercorner with one WN4 tetrahedra, edges with five SrN6 octahedra, edges with two WN4 tetrahedra, and an edgeedge with one SrN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–23°. There are a spread of Sr–N bond distances ranging from 2.61–2.85 Å. In the sixth Sr site, Sr is bonded to six N atoms to form distorted SrN6 octahedra that share corners with three SrN6 octahedra, a cornercorner with one WN4 tetrahedra, edges with four SrN6 octahedra, and edges with two WN4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–23°. There are a spread of Sr–N bond distances ranging from 2.55–2.98 Å. In the seventh Sr site, Sr is bonded to five N atoms to form distorted SrN5 trigonal bipyramids that share corners with three SrN4O square pyramids, corners with three WN4 tetrahedra, an edgeedge with one SrN5 square pyramid, an edgeedge with one WN4 tetrahedra, and an edgeedge with one SrN5 trigonal bipyramid. There are a spread of Sr–N bond distances ranging from 2.51–2.74 Å. In the eighth Sr site, Sr is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Sr–N bond distances ranging from 2.54–3.07 Å. In the ninth Sr site, Sr is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Sr–N bond distances ranging from 2.55–3.20 Å. In the tenth Sr site, Sr is bonded to five N atoms to form distorted SrN5 trigonal bipyramids that share a cornercorner with one SrN6 octahedra, corners with two SrN4O square pyramids, corners with three WN4 tetrahedra, edges with four SrN6 octahedra, and an edgeedge with one SrN5 square pyramid. The corner-sharing octahedral tilt angles are 16°. There are a spread of Sr–N bond distances ranging from 2.51–2.85 Å. In the eleventh Sr site, Sr is bonded in a 7-coordinate geometry to six N and one O atom. There are a spread of Sr–N bond distances ranging from 2.66–2.85 Å. The Sr–O bond length is 3.05 Å. In the twelfth Sr site, Sr is bonded to five N and one O atom to form SrN5O octahedra that share corners with two SrN4O square pyramids, corners with two WN4 tetrahedra, edges with three SrN6 octahedra, edges with three SrN4O square pyramids, an edgeedge with one WN4 tetrahedra, and an edgeedge with one SrN5 trigonal bipyramid. There are a spread of Sr–N bond distances ranging from 2.60–2.87 Å. The Sr–O bond length is 2.60 Å. In the thirteenth Sr site, Sr is bonded in a 5-coordinate geometry to five N atoms. There are a spread of Sr–N bond distances ranging from 2.43–3.02 Å. In the fourteenth Sr site, Sr is bonded in a 5-coordinate geometry to five N atoms. There are a spread of Sr–N bond distances ranging from 2.51–2.87 Å. In the fifteenth Sr site, Sr is bonded to five N and one O atom to form distorted SrN5O octahedra that share corners with two SrN6 octahedra, a cornercorner with one SrN4O square pyramid, a cornercorner with one WN4 tetrahedra, edges with four SrN6 octahedra, an edgeedge with one SrN4O square pyramid, and edges with two WN4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Sr–N bond distances ranging from 2.57–2.85 Å. The Sr–O bond length is 2.66 Å. In the sixteenth Sr site, Sr is bonded in a 5-coordinate geometry to five N atoms. There are a spread of Sr–N bond distances ranging from 2.57–3.00 Å. In the seventeenth Sr site, Sr is bonded to five N atoms to form distorted SrN5 square pyramids that share corners with two SrN6 octahedra, corners with four WN4 tetrahedra, a cornercorner with one SrN5 trigonal bipyramid, edges with two SrN6 octahedra, an edgeedge with one SrN5 square pyramid, and an edgeedge with one SrN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–15°. There are a spread of Sr–N bond distances ranging from 2.44–3.13 Å. In the eighteenth Sr site, Sr is bonded to six N atoms to form distorted SrN6 octahedra that share a cornercorner with one SrN5O octahedra, corners with three WN4 tetrahedra, edges with five SrN6 octahedra, edges with two SrN5 square pyramids, an edgeedge with one WN4 tetrahedra, and an edgeedge with one SrN5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 11°. There are a spread of Sr–N bond distances ranging from 2.48–3.01 Å. In the nineteenth Sr site, Sr is bonded to six N atoms to form distorted SrN6 octahedra that share corners with three SrN6 octahedra, a cornercorner with one WN4 tetrahedra, a cornercorner with one SrN5 trigonal bipyramid, edges with four SrN6 octahedra, an edgeedge with one SrN5 square pyramid, edges with two equivalent WN4 tetrahedra, and an edgeedge with one SrN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–51°. There are a spread of Sr–N bond distances ranging from 2.53–2.99 Å. In the twentieth Sr site, Sr is bonded to five N atoms to form distorted SrN5 square pyramids that share a cornercorner with one SrN6 octahedra, corners with two WN4 tetrahedra, corners with two SrN5 trigonal bipyramids, edges with two SrN5O octahedra, an edgeedge with one SrN5 square pyramid, an edgeedge with one WN4 tetrahedra, and an edgeedge with one SrN5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 8°. There are a spread of Sr–N bond distances ranging from 2.50–2.92 Å. In the twenty-first Sr site, Sr is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Sr–N bond distances ranging from 2.49–3.21 Å. In the twenty-second Sr site, Sr is bonded in a 6-coordinate geometry to six N atoms. There are a spread of Sr–N bond distances ranging from 2.50–3.27 Å. In the twenty-third Sr site, Sr is bonded in a 5-coordinate geometry to three N and two O atoms. There are a spread of Sr–N bond distances ranging from 2.62–2.93 Å. There are one shorter (2.27 Å) and one longer (2.47 Å) Sr–O bond lengths. In the twenty-fourth Sr site, Sr is bonded to four N and one O atom to form SrN4O square pyramids that share corners with two SrN6 octahedra, a cornercorner with one SrN4O square pyramid, corners with three WN4 tetrahedra, a cornercorner with one SrN5 trigonal bipyramid, edges with two equivalent SrN5O octahedra, and an edgeedge with one SrN4O square pyramid. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Sr–N bond distances ranging from 2.57–2.83 Å. The Sr–O bond length is 2.73 Å. In the twenty-fifth Sr site, Sr is bonded to six N atoms to form distorted SrN6 octahedra that share corners with three SrN6 octahedra, a cornercorner with one SrN5 square pyramid, a cornercorner with one WN4 tetrahedra, edges with two SrN6 octahedra, and edges with two WN4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–62°. There are a spread of Sr–N bond distances ranging from 2.60–2.95 Å. In the twenty-sixth Sr site, Sr is bonded to six N atoms to form SrN6 octahedra that share corners with four SrN6 octahedra, corners with two equivalent SrN5 square pyramids, corners with four WN4 tetrahedra, and edges with two equivalent SrN6 octahedra. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Sr–N bond distances ranging from 2.62–2.76 Å. There are six inequivalent W sites. In the first W site, W is bonded to four N atoms to form distorted WN4 tetrahedra that share a cornercorner with one SrN5O octahedra, corners with three SrN4O square pyramids, and a cornercorner with one SrN5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 5°. There are a spread of W–N bond distances ranging from 1.88–1.98 Å. In the second W site, W is bonded to four N atoms to form WN4 tetrahedra that share corners with three SrN6 octahedra, a cornercorner with one SrN5 square pyramid, a cornercorner with one SrN5 trigonal bipyramid, and edges with four SrN6 octahedra. The corner-sharing octahedra tilt angles range from 11–67°. There are a spread of W–N bond distances ranging from 1.89–1.94 Å. In the third W site, W is bonded to four N atoms to form WN4 tetrahedra that share corners with five SrN6 octahedra and edges with four SrN5O octahedra. The corner-sharing octahedra tilt angles range from 8–84°. There are a spread of W–N bond distances ranging from 1.91–1.95 Å. In the fourth W site, W is bonded to four N atoms to form WN4 tetrahedra that share a cornercorner with one SrN6 octahedra, corners with four SrN4O square pyramids, corners with three SrN5 trigonal bipyramids, an edgeedge with one SrN5O octahedra, and an edgeedge with one SrN5 square pyramid. The corner-sharing octahedral tilt angles are 4°. There are a spread of W–N bond distances ranging from 1.91–1.95 Å. In the fifth W site, W is bonded to four N atoms to form WN4 tetrahedra that share corners with two SrN6 octahedra, corners with three SrN4O square pyramids, an edgeedge with one SrN6 octahedra, and an edgeedge with one SrN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–81°. There are a spread of W–N bond distances ranging from 1.88–1.93 Å. In the sixth W site, W is bonded to four N atoms to form WN4 tetrahedra that share corners with two SrN4O square pyramids, a cornercorner with one SrN5 trigonal bipyramid, and edges with two SrN6 octahedra. There is two shorter (1.91 Å) and two longer (1.93 Å) W–N bond length. There are twenty-eight inequivalent N sites. In the first N site, N is bonded to five Sr and one W atom to form distorted NSr5W octahedra that share corners with two NSr6 octahedra, a cornercorner with one NSr4W trigonal bipyramid, edges with six NSr6 octahedra, and an edgeedge with one NSr4W trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–9°. In the second N site, N is bonded to four Sr and one W atom to form distorted NSr4W trigonal bipyramids that share corners with two NSr6 octahedra, edges with four NSr5W octahedra, and an edgeedge with one NSr4W trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–21°. In the third N site, N is bonded in a 5-coordinate geometry to four Sr and one W atom. In the fourth N site, N is bonded to five Sr and one W atom to form distorted NSr5W octahedra that share a cornercorner with one NSr5W octahedra, a cornercorner with one OSr6 octahedra, edges with nine NSr6 octahedra, and an edgeedge with one NSr4W trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–15°. In the fifth N site, N is bonded in a 6-coordinate geometry to five Sr and one W atom. In the sixth N site, N is bonded to six Sr atoms to form a mixture of edge and corner-sharing NSr6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. In the seventh N site, N is bonded to five Sr and one W atom to form distorted NSr5W octahedra that share corners with five NSr5W octahedra,

36 MATERIALS SCIENCE↗

Materials Data on Sr16Fe6Co2Mo8O45 by Materials Project

Sr16Mo8Fe6Co2O45 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent CoO6 octahedra, faces with four MoO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.64–3.15 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.57–3.13 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with two equivalent CoO6 octahedra, faces with four MoO6 octahedra, and faces with two equivalent FeO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.65–3.17 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.57–3.24 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, faces with four MoO6 octahedra, and faces with four CoO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.58–3.14 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–3.02 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.19 Å. In the eighth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, faces with two equivalent FeO6 octahedra, faces with two equivalent FeO5 square pyramids, and faces with two equivalent MoO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.63–3.17 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.99 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.59–3.02 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.66–3.08 Å. In the twelfth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, faces with two equivalent MoO6 octahedra, faces with two equivalent FeO6 octahedra, faces with two equivalent FeO5 square pyramids, and faces with two equivalent MoO5 trigonal bipyramids. There are a spread of Sr–O bond distances ranging from 2.63–3.18 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.08 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–3.01 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.65–3.04 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.08 Å. There are eight inequivalent Mo+4.50+ sites. In the first Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with four SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mo–O bond distances ranging from 1.87–2.06 Å. In the second Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with five CoO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Mo–O bond distances ranging from 1.89–1.99 Å. In the third Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mo–O bond distances ranging from 1.93–1.97 Å. In the fourth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 square pyramids that share a cornercorner with one CoO6 octahedra and corners with four equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–21°. There are a spread of Mo–O bond distances ranging from 1.89–2.03 Å. In the fifth Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Mo–O bond distances ranging from 1.86–2.09 Å. In the sixth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 trigonal bipyramids that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–26°. There are a spread of Mo–O bond distances ranging from 1.89–2.01 Å. In the seventh Mo+4.50+ site, Mo+4.50+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two FeO6 octahedra, corners with four equivalent FeO5 square pyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mo–O bond distances ranging from 1.89–2.06 Å. In the eighth Mo+4.50+ site, Mo+4.50+ is bonded to five O2- atoms to form MoO5 trigonal bipyramids that share corners with four equivalent FeO6 octahedra, a cornercorner with one FeO5 square pyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 16–24°. There is three shorter (1.89 Å) and two longer (2.03 Å) Mo–O bond length. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra and corners with four equivalent MoO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Fe–O bond distances ranging from 2.04–2.22 Å. In the second Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with four equivalent MoO6 octahedra, a cornercorner with one MoO5 trigonal bipyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–17°. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra, corners with four equivalent MoO5 trigonal bipyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.06–2.22 Å. In the fourth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with five MoO6 octahedra and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Fe–O bond distances ranging from 2.00–2.17 Å. In the fifth Fe3+ site, Fe3+ is bonded to five O2- atoms to form FeO5 square pyramids that share corners with four equivalent MoO6 octahedra, a cornercorner with one MoO5 trigonal bipyramid, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 15–16°. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two MoO6 octahedra, corners with four equivalent MoO5 trigonal bipyramids, and faces with two equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 2.05–2.22 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six MoO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Co–O bond distances ranging from 2.06–2.13 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five MoO6 octahedra, a cornercorner with one MoO5 square pyramid, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Co–O bond distances ranging from 1.97–2.15 Å. There are forty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+, one Mo+4.50+, and one Co2+ atom to form distorted corner-sharing OSr4CoMo octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Mo+4.50+, and one Co2+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Mo+4.50+, and one Fe3+ atom. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.59 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.16–2.29 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.63 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.21–2.30 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.54 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.59 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.58 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.20–2.28 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.61 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.62 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.17 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 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, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–48°. There are a spread of P–O bond distances ranging from 1.52–1.57 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, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 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, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 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, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.53–1.56 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, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a disto

36 MATERIALS SCIENCE↗

Materials Data on Li24Mn11CrO36 by Materials Project

Li24CrMn11O36 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.10 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.04–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.20 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.13 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.11 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.12 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. In the twentieth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the twenty-first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.07–2.13 Å. In the twenty-second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the twenty-third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.91–1.97 Å. There are eleven inequivalent Mn+3.82+ sites. In the first Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the second Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mn–O bond length. In the third Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fourth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the fifth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the sixth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the seventh Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the eighth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharin

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve 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 PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.28 Å. In the third 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 PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.85–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are one shorter (1.87 Å) and three longer (2.18 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.14 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.25 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–68°. There are a spread of Li–O bond distances ranging from 1.89–2.19 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 68–70°. There are a spread of Li–O bond distances ranging from 1.85–2.22 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.21 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.36–2.44 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.03 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.05 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.02 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.01 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.03 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.05 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 LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–31°. There is one shorter (1.49 Å) and three longer (1.58 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–56°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–36°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 28°. There is one shorter (1.49 Å) and three longer (1.57 Å) P–O bond length. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bon

36 MATERIALS SCIENCE↗

Materials Data on Na5Bi2As(CO4)4 by Materials Project

Na5Bi2As(CO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–86°. There are a spread of Na–O bond distances ranging from 2.37–2.72 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–87°. There are a spread of Na–O bond distances ranging from 2.26–2.76 Å. In the third Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.76 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.24–2.74 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–88°. There are a spread of Na–O bond distances ranging from 2.38–2.70 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–87°. There are a spread of Na–O bond distances ranging from 2.36–2.70 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–87°. There are a spread of Na–O bond distances ranging from 2.35–2.77 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Na–O bond distances ranging from 2.37–2.71 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Na–O bond distances ranging from 2.34–2.71 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–85°. There are a spread of Na–O bond distances ranging from 2.37–2.75 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.72 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–85°. There are a spread of Na–O bond distances ranging from 2.36–2.73 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 86–87°. There are a spread of Na–O bond distances ranging from 2.26–2.76 Å. In the fourteenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.25–2.81 Å. In the fifteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 85–88°. There are a spread of Na–O bond distances ranging from 2.26–2.76 Å. In the sixteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–84°. There are a spread of Na–O bond distances ranging from 2.31–2.77 Å. In the seventeenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–86°. There are a spread of Na–O bond distances ranging from 2.36–2.73 Å. In the eighteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–87°. There are a spread of Na–O bond distances ranging from 2.37–2.74 Å. In the nineteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–87°. There are a spread of Na–O bond distances ranging from 2.34–2.71 Å. In the twentieth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, edges with two BiO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–87°. There are a spread of Na–O bond distances ranging from 2.27–2.74 Å. There are sixteen inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the fifth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the sixth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the seventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the eighth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the ninth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the tenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the eleventh C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.30 Å) and two longer (1.31 Å) C–O bond length. In the twelfth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the thirteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the fourteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.31 Å) C–O bond length. In the fifteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the sixteenth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.43 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.43 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.47 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.43 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with three NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.43 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with five NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.37–2.40 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.32–2.43 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.33–2.43 Å. There are four inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share edges with two NaO6 octahedra. All As–O bond lengths are 1.74 Å. In the second As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share edges with six NaO6 octahedra. There is one shorter (1.72 Å) and three longer (1.73 Å) As–O bond length. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share edges with two NaO6 octahedra. There are a spread of As–O bond distances ranging from 1.70–1.77 Å. In the fourth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share edges with six NaO6 octahedra. All As–O bond lengths are 1.73 Å. There are sixty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Na1+, one C4+, and one Bi3+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one As5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one As5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one As5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one As5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one C4+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to 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 1.89–2.11 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 1.90–2.12 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 1.93–2.14 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 1.93–2.06 Å. In the fifth 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 1.93–2.17 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 three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.10 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ 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 1.95–2.07 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 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 1.94–2.20 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.31 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.40 Å. In the fifth Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.15 Å. In the sixth Mn+2.25+ site, Mn+2.25+ 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 2.09–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 2.03–2.26 Å. In the eighth Mn+2.25+ site, Mn+2.25+ 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 2.07–2.38 Å. In the ninth Mn+2.25+ site, Mn+2.25+ 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 2.03–2.29 Å. In the tenth Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.23 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.64 Å. There are twelve 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 1.36–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 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 1.36–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.42 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. In the ninth 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 tenth 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 eleventh 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 twelfth 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 thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the thirty-third O2- site, O2- is bonded in a distorted

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.17–2.48 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 1.90–2.40 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the fourth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.10 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.79 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.16–2.41 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the ninth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.42 Å. In the tenth Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.03 Å. In the twelfth 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 2.00–2.54 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.15 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. There are a spread of V–O bond distances ranging from 1.98–2.03 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of V–O bond distances ranging from 1.96–2.11 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of V–O bond distances ranging from 1.97–2.16 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.17 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.43 Å. There are twelve 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 LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to three Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V4+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two V4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two V4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one V4+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.13 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 three 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 third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with three 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. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one 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 1.91–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.88–2.15 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.07–2.34 Å. In the second Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.26 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.67 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.23 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.16 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.36 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.08 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 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 2.07–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ 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 2.06–2.31 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. There are twelve 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 1.37–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 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 1.36–1.43 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 1.36–1.40 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 1.37–1.42 Å. In the ninth 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 tenth 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 eleventh 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 twelfth 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 thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, 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 eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, 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 Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, 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 twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+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 Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.88–2.08 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 and corners with four MnO5 trigonal bipyramids. 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 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 1.92–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.15 Å. In the ninth 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 1.94–2.17 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.28 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 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 2.00–2.46 Å. In the third Mn+2.25+ site, Mn+2.25+ 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 2.07–2.22 Å. In the fourth Mn+2.25+ site, Mn+2.25+ 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 1.98–2.16 Å. In the fifth Mn+2.25+ site, Mn+2.25+ 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.28 Å. In the sixth Mn+2.25+ site, Mn+2.25+ 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 2.07–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.12–2.21 Å. In the eighth Mn+2.25+ site, Mn+2.25+ 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 1.93–2.20 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.35 Å. In the tenth Mn+2.25+ site, Mn+2.25+ 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 2.05–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ 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, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.09 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ 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 2.05–2.25 Å. There are twelve 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 1.35–1.43 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 1.38–1.41 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 1.36–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 1.35–1.42 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. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.43 Å) B–O bond length. In the eleventh 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 twelfth 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 thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+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 Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, 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+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, 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+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bon

36 MATERIALS SCIENCE↗

Materials Data on Li3MnV(PO4)3 by Materials Project

Li3VMn(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two VO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 62–73°. There are a spread of Li–O bond distances ranging from 2.00–2.04 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 1.94–2.05 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 2.01–2.10 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 2.02–2.11 Å. In the fifth 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 1.94–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 61–75°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–73°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the ninth 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 2.00–2.12 Å. In the tenth 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 2.00–2.11 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–74°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. There are four inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.98–2.15 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.92–2.13 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.98–2.13 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.93–2.12 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.92–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.19 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.18 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 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, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–49°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–47°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–45°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–44°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 21–49°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–47°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–47°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, corners with two MnO6 octahedra, corners with two LiO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 29–44°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V4+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a tetrahedral geometry to two Li1+, one V4+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the twenty-fifth O2- s

36 MATERIALS SCIENCE↗

Materials Data on Li9V6(P8O29)2 by Materials Project

Li9V6(P8O29)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.24 Å. In the second Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.32 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Li–O bond distances ranging from 1.86–2.27 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.21 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.21 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.27 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.22 Å. In the ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.30 Å. There are six inequivalent V sites. In the first V site, V is bonded to six O atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–1.99 Å. In the second V site, V is bonded to six O atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–1.99 Å. In the third V site, V is bonded to six O atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–1.99 Å. In the fourth V site, V is bonded to six O atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.83–2.02 Å. In the fifth V site, V is bonded to six O atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.86–2.01 Å. In the sixth V site, V is bonded to six O atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.96 Å. There are sixteen inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–44°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–36°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the thirteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–33°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fourteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of P–O bond distances ranging from 1.47–1.62 Å. In the sixteenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O sites. In the first O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the second O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the third O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the eighth O site, O is bonded in a trigonal planar geometry to two Li and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the twelfth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one P atom. In the thirteenth O site, O is bonded in a linear geometry to one Li and one P atom. In the fourteenth O site, O is bonded in a single-bond geometry to one P atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one P atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the seventeenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one V, and one P atom. In the eighteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the nineteenth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the twentieth O site, O is bonded in a trigonal planar geometry to two Li and one P atom. In the twenty-first O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the twenty-second O site, O is bonded in a trigonal planar geometry to one Li, one V, and one P atom. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one P atom. In the twenty-fourth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one P atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one V and one P atom. In the twenty-seventh O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the twenty-eighth O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the twenty-ninth O site, O is bonded in a bent 120 degrees geometry to one Li and one P atom. In the thir

36 MATERIALS SCIENCE↗

Materials Data on Li12Mn5V3(PO4)12 by Materials Project

Li12V3Mn5(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.52 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.64 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 1.99–2.03 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 1.95–2.04 Å. In the fifth 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 1.96–2.59 Å. In the sixth 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 1.96–2.53 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.55 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.65 Å. In the ninth 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 1.98–2.02 Å. In the tenth 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 1.96–2.04 Å. In the eleventh 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 1.96–2.59 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.51 Å. There are three inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.21 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.95–2.09 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.91–2.12 Å. There are five inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.41 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.16 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.16 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.38 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.41 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–45°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–46°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–48°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 31–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–46°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–45°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–48°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–46°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–42°. There is three shorter (1.54 Å) and one longer (1.56 Å) P–O bond length. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted edge-sharing OLi2MnP tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+4.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one V+4.67+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one V+4.67+, and one P5+ atom to form distorted corner-sharing OLi2VP tetrahedra. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+4.67+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2MnP tetrahedra that share a cornercorner with one OLi2VP tetrahedra and an edgeedge with one OLi2MnP tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded to two Li1+, one V+4.67+, and one P5+ atom to form distorted OLi2VP tetrahedra that share a cornercorner with one OLi2MnP tetrahedra and an edgeedge with one OLi2VP tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fortieth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form distorted OLi2

36 MATERIALS SCIENCE↗