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Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four 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 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 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.16 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.23 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.99–2.05 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.20 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.14 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 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 1.35–1.41 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 1.38–1.41 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na4Al3Si3NO15 by Materials Project

(Na8Al6Si6NO30)2N2 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one ammonia molecule and one Na8Al6Si6NO30 framework. In the Na8Al6Si6NO30 framework, there are eight inequivalent Na1+ sites. In the first 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 2.43–2.80 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.87 Å. In the third Na1+ site, Na1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.98 Å. In the fourth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–2.36 Å. In the fifth 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 2.28–2.91 Å. In the sixth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–3.04 Å. In the seventh 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 2.29–2.74 Å. In the eighth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.49 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.77 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three SiO4 tetrahedra. There is two shorter (1.75 Å) and two longer (1.76 Å) Al–O bond length. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There is one shorter (1.75 Å) and three longer (1.76 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.78 Å. In the fifth Al3+ site, Al3+ is bonded to five O2- atoms to form distorted AlO5 square pyramids that share corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.79–1.95 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.73–1.76 Å. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO5 square pyramid and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO5 square pyramid and corners with three AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one AlO5 square pyramid and corners with three AlO4 tetrahedra. There is three shorter (1.64 Å) and one longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the sixth Si4+ site, Si4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Si–O bond distances ranging from 1.62–2.02 Å. N5+ is bonded in a bent 120 degrees geometry to two O2- atoms. Both N–O bond lengths are 1.27 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Na1+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Si4+, and one O2- atom. The O–O bond length is 1.53 Å. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, one Si4+, and one O2- atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one Al3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+ and one N5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one O2- atom. The O–O bond length is 1.25 Å. In the twenty-ninth O2- site, O2- is bonded in a distorted water-like geometry to one Na1+ and one O2- atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one N5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Zn(FeO2)2 by Materials Project

ZnFe2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Fe–O bond distances ranging from 1.93–1.97 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.10 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.12 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the seventh Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the tenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Fe–O bond distances ranging from 1.93–1.98 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.11 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.11 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.11 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six ZnO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. There are ten inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are one shorter (1.99 Å) and three longer (2.01 Å) Zn–O bond lengths. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.15 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Zn–O bond distances ranging from 1.98–2.03 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.14 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Zn–O bond distances ranging from 1.98–2.03 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.14 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Zn–O bond distances ranging from 1.96–2.03 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.14 Å. In the ninth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Zn–O bond distances ranging from 1.98–2.04 Å. In the tenth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Zn–O bond distances ranging from 1.98–2.04 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the second O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the third O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the seventh O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Fe3+ and two Zn2+ atoms. In the ninth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted edge-sharing OZnFe3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Fe3+ and two Zn2+ atoms. In the fifteenth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two equivalent Fe3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Fe3+ and two Zn2+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Fe3+ and two Zn2+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-eighth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form a mixture of distorted edge and corner-sharing OZnFe3 trigonal pyramids. In the thirtieth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted edge-sharing OZnFe3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na4Al3Si3NO15 by Materials Project

(Na8Al6Si6NO30)2N2 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one ammonia molecule and one Na8Al6Si6NO30 framework. In the Na8Al6Si6NO30 framework, there are eight inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.81 Å. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.37–2.46 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NO4 tetrahedra, corners with two AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.37–2.40 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NO4 tetrahedra, corners with two AlO4 tetrahedra, and corners with three SiO4 tetrahedra. There are three shorter (2.38 Å) and one longer (2.39 Å) Na–O bond lengths. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NO4 tetrahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.48 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NO4 tetrahedra, corners with two AlO4 tetrahedra, and corners with two SiO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.34–2.45 Å. In the seventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–3.05 Å. In the eighth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–3.06 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Al–O bond distances ranging from 1.75–2.04 Å. In the second Al3+ site, Al3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Al–O bond distances ranging from 1.75–2.13 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with four SiO4 tetrahedra. All Al–O bond lengths are 1.75 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with three SiO4 tetrahedra. All Al–O bond lengths are 1.75 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with three SiO4 tetrahedra. There is three shorter (1.75 Å) and one longer (1.76 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with four SiO4 tetrahedra. There is three shorter (1.75 Å) and one longer (1.76 Å) Al–O bond length. There are six inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with two AlO4 tetrahedra. There is one shorter (1.63 Å) and three longer (1.64 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with two AlO4 tetrahedra. All Si–O bond lengths are 1.64 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with two AlO4 tetrahedra. All Si–O bond lengths are 1.64 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with four AlO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two NaO4 tetrahedra and corners with four AlO4 tetrahedra. There is two shorter (1.63 Å) and two longer (1.64 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Si–O bond distances ranging from 1.64–2.04 Å. N5+ is bonded to four O2- atoms to form NO4 tetrahedra that share corners with four NaO4 tetrahedra. There are a spread of N–O bond distances ranging from 1.34–1.42 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, one Si4+, and one O2- atom. The O–O bond length is 1.56 Å. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Al3+, one Si4+, and one O2- atom. The O–O bond length is 1.56 Å. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Al3+, one Si4+, and one O2- atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Al3+, one Si4+, and one O2- atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Na1+ and one N5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Na1+ and one N5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Na1+ and one N5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Na1+ and one N5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Al3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg7Al22O40 by Materials Project

Mg7Al22O40 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Mg–O bond distances ranging from 1.96–1.99 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.05 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There is one shorter (1.93 Å) and three longer (1.97 Å) Mg–O bond length. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–1.98 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.93 Å) and one longer (2.03 Å) Mg–O bond length. There are seventeen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Al–O bond distances ranging from 1.77–1.87 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Al–O bond distances ranging from 1.77–1.90 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.01 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Al–O bond distances ranging from 1.81–1.86 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Al–O bond distances ranging from 1.78–1.88 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.01 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.07 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.89 Å) and three longer (1.97 Å) Al–O bond length. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.99 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.97 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.73–1.89 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form corner-sharing OMg2Al2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sr10Cu5Bi10O29 by Materials Project

Bi10Sr10Cu5O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–3.22 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.03 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.91 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.01 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.85 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.92 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.94 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.91 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–3.21 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.88 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.85 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.91 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.96 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–2.89 Å. In the fifteenth Sr2+ site, Sr2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.96 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.91 Å. In the seventeenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.60–2.95 Å. In the eighteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.13 Å. In the nineteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–3.13 Å. In the twentieth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.63–2.92 Å. There are ten inequivalent Cu+1.60+ sites. In the first Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Cu–O bond distances ranging from 1.91–2.69 Å. In the second Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Cu–O bond distances ranging from 1.91–2.57 Å. In the third Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the fourth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.91–2.67 Å. In the fifth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.90–2.63 Å. In the sixth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.90–2.63 Å. In the seventh Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Cu–O bond distances ranging from 1.91–2.58 Å. In the eighth Cu+1.60+ site, Cu+1.60+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with two equivalent CuO6 octahedra and corners with two equivalent CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.91–2.67 Å. In the ninth Cu+1.60+ site, Cu+1.60+ is bonded to five O2- atoms to form distorted corner-sharing CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Cu–O bond distances ranging from 1.89–2.69 Å. In the tenth Cu+1.60+ site, Cu+1.60+ is bonded to five O2- atoms to form distorted corner-sharing CuO5 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Cu–O bond distances ranging from 1.89–2.68 Å. There are twenty inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.43 Å. In the second Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.16 Å. In the third Bi3+ site, Bi3+ is bonded in a distorted L-shaped geometry to two O2- atoms. There are one shorter (2.17 Å) and one longer (3.02 Å) Bi–O bond lengths. In the fourth Bi3+ site, Bi3+ is bonded in an L-shaped geometry to two O2- atoms. There are one shorter (2.09 Å) and one longer (2.16 Å) Bi–O bond lengths. In the fifth Bi3+ site, Bi3+ is bonded in a distorted L-shaped geometry to two O2- atoms. There are one shorter (2.17 Å) and one longer (2.92 Å) Bi–O bond lengths. In the sixth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–3.07 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.85 Å. In the eighth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.72 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–3.05 Å. In the tenth Bi3+ site, Bi3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.43 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.84 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.08–2.75 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in an L-shaped geometry to two O2- atoms. There are one shorter (2.10 Å) and one longer (2.17 Å) Bi–O bond lengths. In the fourteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.46 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.59 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.17 Å. In the seventeenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.58 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.49 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.07–2.70 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.09–2.76 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sr2+ and two Bi3+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the ninth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the tenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Sr2+ and two Bi3+ atoms. In the fourteenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+, one Cu+1.60+, and one Bi3+ atom. In the sixteenth O2- site, O2- is bonded to four Sr2+ and two Cu+1.60+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventeenth O2- site, O2- is bonded to four Sr2+ and t

36 MATERIALS SCIENCE↗

Materials Data on CaAl2(SiO4)2 by Materials Project

CaAl2Si2O8 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.96 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.92 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.90 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.70 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.78 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.74–1.79 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.71–1.78 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.72–1.79 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.75–1.79 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.60–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Al3+ and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a linear geometry to one Al3+ and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ca2+, one Al3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Al3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe21Ni9O40 by Materials Project

Fe21Ni9O40 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Fe+2.95+ sites. In the first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the second Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the third Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fourth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the fifth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the sixth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the seventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the eighth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are one shorter (2.04 Å) and five longer (2.06 Å) Fe–O bond lengths. In the ninth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the tenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the eleventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.07 Å. In the twelfth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the thirteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fourteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fifteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the sixteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.06 Å. In the seventeenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the eighteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are two shorter (2.04 Å) and two longer (2.05 Å) Fe–O bond lengths. In the nineteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twentieth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twenty-first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. There are nine inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are two shorter (2.00 Å) and two longer (2.01 Å) Ni–O bond lengths. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Ni–O bond distances ranging from 2.00–2.02 Å. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the fifth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.03 Å. In the sixth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. In the seventh Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the eighth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the ninth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the second O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the third O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the ninth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Fe+2.95+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded to four Fe+2.95+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn3(PO4)4 by Materials Project

Li3Mn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.71 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.05 Å) and two longer (2.20 Å) Li–O bond lengths. 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 1.93–2.71 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 1.93–2.78 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 1.94–2.78 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.05 Å) and two longer (2.22 Å) Li–O bond lengths. There are six inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.90–2.15 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. 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 corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of P–O bond distances ranging from 1.51–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on NaCa2LuSi2O7F2 by Materials Project

NaCa2LuSi2O7F2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 5-coordinate geometry to four O2- and one F1- atom. There are a spread of Na–O bond distances ranging from 2.32–2.86 Å. The Na–F bond length is 2.45 Å. In the second Na1+ site, Na1+ is bonded to three O2- and one F1- atom to form NaO3F trigonal pyramids that share a cornercorner with one CaO6F pentagonal bipyramid, a cornercorner with one CaO4F square pyramid, a cornercorner with one SiO3F tetrahedra, and a cornercorner with one CaO4F trigonal bipyramid. There are a spread of Na–O bond distances ranging from 2.46–2.63 Å. The Na–F bond length is 2.47 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to two O2- and three F1- atoms. There are one shorter (2.27 Å) and one longer (2.35 Å) Na–O bond lengths. There are a spread of Na–F bond distances ranging from 2.35–2.71 Å. In the fourth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to three O2- and three F1- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.83 Å. There are a spread of Na–F bond distances ranging from 2.44–2.67 Å. There are eight 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 three SiO4 tetrahedra, a cornercorner with one CaO4F trigonal bipyramid, a cornercorner with one NaO3F trigonal pyramid, an edgeedge with one CaO4F trigonal bipyramid, and an edgeedge with one SiO3F2 trigonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.16–2.69 Å. The Ca–F bond length is 2.81 Å. In the second Ca2+ site, Ca2+ is bonded to four O2- and one F1- atom to form distorted CaO4F trigonal bipyramids that share a cornercorner with one CaO4F square pyramid, corners with two SiO4 tetrahedra, a cornercorner with one NaO3F trigonal pyramid, and an edgeedge with one CaO6F pentagonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.12–2.46 Å. The Ca–F bond length is 2.29 Å. In the third Ca2+ site, Ca2+ is bonded to four O2- and one F1- atom to form distorted CaO4F trigonal bipyramids that share a cornercorner with one CaO6F pentagonal bipyramid, a cornercorner with one SiO3F2 trigonal bipyramid, and an edgeedge with one SiO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.17–2.38 Å. The Ca–F bond length is 2.21 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 2-coordinate geometry to three O2- and one F1- atom. There are a spread of Ca–O bond distances ranging from 2.16–2.79 Å. The Ca–F bond length is 2.20 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to four O2- and two F1- atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.76 Å. There are one shorter (2.25 Å) and one longer (2.35 Å) Ca–F bond lengths. In the sixth Ca2+ site, Ca2+ is bonded to four O2- and one F1- atom to form distorted CaO4F square pyramids that share a cornercorner with one SiO4 tetrahedra, a cornercorner with one CaO4F trigonal bipyramid, and a cornercorner with one NaO3F trigonal pyramid. There are a spread of Ca–O bond distances ranging from 2.21–2.53 Å. The Ca–F bond length is 2.28 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to three O2- and two F1- atoms. There are a spread of Ca–O bond distances ranging from 2.27–2.51 Å. There are one shorter (2.27 Å) and one longer (2.34 Å) Ca–F bond lengths. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.60 Å. There are four inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to five O2- and one F1- atom. There are a spread of Lu–O bond distances ranging from 2.13–2.71 Å. The Lu–F bond length is 2.59 Å. In the second Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.02–2.55 Å. In the third Lu3+ site, Lu3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Lu–O bond distances ranging from 2.05–2.51 Å. In the fourth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- and one F1- atom. There are a spread of Lu–O bond distances ranging from 2.06–2.59 Å. The Lu–F bond length is 2.89 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a water-like geometry to two O2- atoms. There is one shorter (1.63 Å) and one longer (1.78 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one CaO4F trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the third Si4+ site, Si4+ is bonded to three O2- and two F1- atoms to form SiO3F2 trigonal bipyramids that share a cornercorner with one SiO3F tetrahedra, a cornercorner with one CaO4F trigonal bipyramid, and an edgeedge with one CaO6F pentagonal bipyramid. There are a spread of Si–O bond distances ranging from 1.60–1.87 Å. There is one shorter (1.70 Å) and one longer (1.79 Å) Si–F bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one CaO6F pentagonal bipyramid, a cornercorner with one CaO4F square pyramid, a cornercorner with one SiO3F tetrahedra, and a cornercorner with one CaO4F trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.60–1.71 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share an edgeedge with one CaO4F trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.61–1.70 Å. In the sixth Si4+ site, Si4+ is bonded in a 4-coordinate geometry to two O2- and one F1- atom. There is one shorter (1.74 Å) and one longer (1.84 Å) Si–O bond length. The Si–F bond length is 1.73 Å. In the seventh Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F tetrahedra that share a cornercorner with one CaO6F pentagonal bipyramid, a cornercorner with one SiO3F2 trigonal bipyramid, and a cornercorner with one NaO3F trigonal pyramid. There is one shorter (1.60 Å) and two longer (1.64 Å) Si–O bond length. The Si–F bond length is 1.69 Å. In the eighth Si4+ site, Si4+ is bonded to three O2- and one F1- atom to form SiO3F tetrahedra that share a cornercorner with one CaO6F pentagonal bipyramid and a cornercorner with one SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.56–1.68 Å. The Si–F bond length is 1.65 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Si4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ca2+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Lu3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Lu3+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Lu3+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+, one Ca2+, and one Lu3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Ca2+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Ca2+, one Lu3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one Lu3+ atom. In the thirteenth O2- site, O2- is bonded to one Na1+, two Ca2+, and one Lu3+ atom to form distorted edge-sharing ONaCa2Lu tetrahedra. In the fourteenth O2- site, O2- is bonded to two Na1+, one Ca2+, and one Lu3+ atom to form distorted corner-sharing ONa2CaLu trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Lu3+ atom. In the sixteenth O2- site, O2- is bonded to one Ca2+, two Lu3+, and one Si4+ atom to form distorted OCaLu2Si trigonal pyramids that share a cornercorner with one ONa2CaLu trigonal pyramid and an edgeedge with one ONaCa2Lu tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Lu3+, and one O2- atom. The O–O bond length is 1.50 Å. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ca2+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Si4+, and one O2- atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Lu3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one O2- atom. The O–O bond length is 1.51 Å. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Lu3+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted single-bond geometry to one Ca2+, one Lu3+, one Si4+, and one O2- atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Ca2+, one Lu3+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Lu3+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Lu3+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Ca2+, one Lu3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Ca2+, and two Si4+ atoms. There are eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+, two Ca2+, and one Lu3+ atom. In the second F1- site, F1- is bonded in a 3-coordinate geometry to two Na1+ and one Si4+ atom. In the third F1- site, F1- is bonded in a bent 150 degrees geometry to one Ca2+ and one Si4+ atom. In the fourth F1- site, F1- is bonded in a 1-coordinate geometry to two Na1+, one Lu3+, and one Si4+ atom. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Ca2+ atoms. In the sixth F1- site, F1- is bonded in a 4-coordinate geometry to one Na1+ and three Ca2+ atoms. In the seventh F1- site, F1- is bonded in a distorted single-bond geometry to one Na1+ and one Si4+ atom. In the eighth F1- site, F1- is bonded in a distorted single-bond geometry to one Na1+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaEr15Si8Se11ClO28 by Materials Project

CaEr15Si8Se11O28Cl crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ca2+ is bonded in a 6-coordinate geometry to three Se2- and three O2- atoms. There are a spread of Ca–Se bond distances ranging from 2.95–2.97 Å. There are a spread of Ca–O bond distances ranging from 2.36–2.51 Å. There are fifteen inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a 6-coordinate geometry to three Se2- and three O2- atoms. There are a spread of Er–Se bond distances ranging from 2.86–2.92 Å. There are a spread of Er–O bond distances ranging from 2.28–2.44 Å. In the second Er3+ site, Er3+ is bonded in a 9-coordinate geometry to two Se2-, six O2-, and one Cl1- atom. There are one shorter (2.89 Å) and one longer (2.91 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.30–2.60 Å. The Er–Cl bond length is 2.96 Å. In the third Er3+ site, Er3+ is bonded in a 6-coordinate geometry to three Se2- and three O2- atoms. There are a spread of Er–Se bond distances ranging from 2.83–2.92 Å. There are one shorter (2.29 Å) and two longer (2.42 Å) Er–O bond lengths. In the fourth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to three Se2- and six O2- atoms. There are one shorter (2.89 Å) and two longer (2.93 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.34–2.68 Å. In the fifth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to three Se2- and six O2- atoms. There are a spread of Er–Se bond distances ranging from 2.88–2.94 Å. There are a spread of Er–O bond distances ranging from 2.34–2.70 Å. In the sixth Er3+ site, Er3+ is bonded in a 6-coordinate geometry to three Se2- and three O2- atoms. There are one shorter (2.85 Å) and two longer (2.91 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.29–2.44 Å. In the seventh Er3+ site, Er3+ is bonded in a 9-coordinate geometry to two Se2-, six O2-, and one Cl1- atom. There are one shorter (2.83 Å) and one longer (2.89 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.34–2.58 Å. The Er–Cl bond length is 2.95 Å. In the eighth Er3+ site, Er3+ is bonded in a 6-coordinate geometry to three Se2- and three O2- atoms. There are two shorter (2.87 Å) and one longer (2.88 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.29–2.42 Å. In the ninth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to three Se2- and six O2- atoms. There are a spread of Er–Se bond distances ranging from 2.90–2.93 Å. There are a spread of Er–O bond distances ranging from 2.35–2.67 Å. In the tenth Er3+ site, Er3+ is bonded in a 3-coordinate geometry to three Se2- and three O2- atoms. There are a spread of Er–Se bond distances ranging from 2.88–2.92 Å. There are a spread of Er–O bond distances ranging from 2.27–2.42 Å. In the eleventh Er3+ site, Er3+ is bonded in a 9-coordinate geometry to two Se2-, six O2-, and one Cl1- atom. There are one shorter (2.83 Å) and one longer (2.90 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.33–2.63 Å. The Er–Cl bond length is 2.95 Å. In the twelfth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to two Se2-, six O2-, and one Cl1- atom. There are one shorter (2.89 Å) and one longer (2.91 Å) Er–Se bond lengths. There are a spread of Er–O bond distances ranging from 2.30–2.61 Å. The Er–Cl bond length is 2.95 Å. In the thirteenth Er3+ site, Er3+ is bonded in a 3-coordinate geometry to three Se2- and three O2- atoms. There are a spread of Er–Se bond distances ranging from 2.89–2.92 Å. There are a spread of Er–O bond distances ranging from 2.27–2.40 Å. In the fourteenth Er3+ site, Er3+ is bonded in a 9-coordinate geometry to three Se2- and six O2- atoms. There are a spread of Er–Se bond distances ranging from 2.90–2.94 Å. There are a spread of Er–O bond distances ranging from 2.34–2.68 Å. In the fifteenth Er3+ site, Er3+ is bonded in a 3-coordinate geometry to three Se2- and three O2- atoms. There are a spread of Er–Se bond distances ranging from 2.87–2.91 Å. There are a spread of Er–O bond distances ranging from 2.27–2.43 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.64 Å) and one longer (1.66 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There is three shorter (1.64 Å) and one longer (1.66 Å) Si–O bond length. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.66 Å. There are eleven inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the second Se2- site, Se2- is bonded in a 6-coordinate geometry to one Ca2+, three Er3+, and two O2- atoms. There are one shorter (3.19 Å) and one longer (3.25 Å) Se–O bond lengths. In the third Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ and twelve O2- atoms. There are a spread of Se–O bond distances ranging from 3.13–3.24 Å. In the fourth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the fifth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the sixth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the seventh Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ca2+ and three Er3+ atoms. In the eighth Se2- site, Se2- is bonded in a 6-coordinate geometry to four Er3+ and two O2- atoms. There are one shorter (3.18 Å) and one longer (3.23 Å) Se–O bond lengths. In the ninth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ca2+ and three Er3+ atoms. In the tenth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. In the eleventh Se2- site, Se2- is bonded in a 4-coordinate geometry to four Er3+ atoms. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.19 Å. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.08 Å. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ and one Se2- atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.08 Å. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.19 Å. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.19 Å. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.09 Å. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ and one Se2- atom. In the twelfth O2- site, O2- is bonded to three Er3+, one Si4+, and one Se2- atom to form distorted edge-sharing OEr3SiSe tetrahedra. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.09 Å. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.08 Å. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, two Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.16 Å. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ and one Se2- atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.10 Å. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the twenty-second O2- site, O2- is bonded to three Er3+, one Si4+, and one Se2- atom to form a mixture of distorted edge and corner-sharing OEr3SiSe tetrahedra. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.07 Å. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ and one Se2- atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Se2- atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to three Er3+, one Si4+, and one Cl1- atom. The O–Cl bond length is 3.08 Å. In the twenty-eighth O2- site, O2- is bonded to three Er3+, one Si4+, and one Se2- atom to form a mixture of distorted edge and corner-sharing OEr3SiSe tetrahedra. Cl1- is bonded in a distorted rectangular see-saw-like geometry to four Er3+ and twelve O2- atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Cu5O7 by Materials Project

Mg2Cu5O7 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are twelve inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Mg–O bond distances ranging from 2.04–2.22 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Mg–O bond distances ranging from 2.04–2.23 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one CuO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.20 Å. In the ninth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the tenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 19°. There are a spread of Mg–O bond distances ranging from 2.05–2.21 Å. In the eleventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra and edges with two CuO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.22 Å. In the twelfth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one CuO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. There are sixteen inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.66 Å. In the second Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.62 Å. In the third Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.63 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.63 Å. In the fifth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.90–2.64 Å. In the sixth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.66 Å. In the seventh Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.63 Å. In the eighth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.63 Å. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cu–O bond distances ranging from 2.06–2.28 Å. In the tenth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.63 Å. In the eleventh Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.60 Å. In the twelfth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CuO6 octahedra and edges with two MgO6 octahedra. The corner-sharing octahedral tilt angles are 23°. There are a spread of Cu–O bond distances ranging from 2.06–2.28 Å. In the thirteenth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.65 Å. In the fourteenth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.60 Å. In the fifteenth Cu2+ site, Cu2+ is bonded in a distorted rectangular see-saw-like geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.66 Å. In the sixteenth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.62 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the sixth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to six Cu2+ atoms. In the eighth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the tenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to six Cu2+ atoms. In the twelfth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the thirteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form distorted OMg2Cu3 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the fourteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMg2Cu3 square pyramids and edges with three OMgCu4 square pyramids. In the sixteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the seventeenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the eighteenth O2- site, O2- is bonded to two Mg2+ and three Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMg2Cu3 square pyramids. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twentieth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form a mixture of distorted edge and corner-sharing OMgCu4 square pyramids. In the twenty-first O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMgCu4 square pyramids and edges with three OMg2Cu3 square pyramids. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and four Cu2+ atoms to form distorted OMgCu4 square pyramids that share corners with six OMgCu4 square pyramids and edges with three OMg2Cu3 square pyramids. In the twenty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+ and four Cu2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5V3P8O29 by Materials Project

Li5V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.34 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 1.95–2.28 Å. In the third 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 1.84–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- 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 1.91–2.10 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- 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 1.96–2.16 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, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- 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 1.88–2.29 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 1.91–2.18 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 1.96–2.29 Å. In the tenth 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 1.90–2.79 Å. There are six inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- 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 1.85–2.01 Å. In the second V+4.33+ site, V+4.33+ 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 1.84–2.03 Å. In the third V+4.33+ site, V+4.33+ 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 1.86–2.05 Å. In the fourth V+4.33+ site, V+4.33+ is bonded to six O2- 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 1.89–2.00 Å. In the fifth V+4.33+ site, V+4.33+ 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 1.87–1.91 Å. In the sixth V+4.33+ site, V+4.33+ 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 1.81–1.97 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 corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 42–43°. There are a spread of P–O bond distances ranging from 1.50–1.60 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 39–46°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–39°. There are a spread of P–O bond distances ranging from 1.50–1.58 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 31–35°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the sixth 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 37–45°. There are a spread of P–O bond distances ranging from 1.49–1.62 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 37–49°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth 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 44–46°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.48–1.63 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–36°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–35°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–45°. There are a spread of P–O bond distances ranging from 1.48–1.61 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 two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixteenth 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 1.49–1.63 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ 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 V+4.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, 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-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 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 trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.33+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry

36 MATERIALS SCIENCE↗

Materials Data on Zr6Nb2O17 by Materials Project

Zr6Nb2O17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.71 Å. In the second Zr4+ site, Zr4+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.11–2.68 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids, corners with two equivalent NbO7 pentagonal bipyramids, edges with two ZrO7 pentagonal bipyramids, and edges with two equivalent NbO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.06–2.27 Å. In the fourth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one NbO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one NbO7 pentagonal bipyramid, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.28 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one NbO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one NbO7 pentagonal bipyramid, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.28 Å. In the sixth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.08–2.36 Å. In the seventh Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.50 Å. In the eighth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.04–2.48 Å. In the ninth Zr4+ site, Zr4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Zr–O bond distances ranging from 2.09–2.36 Å. In the tenth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two NbO7 pentagonal bipyramids, corners with three ZrO7 pentagonal bipyramids, edges with two NbO7 pentagonal bipyramids, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.06–2.29 Å. In the eleventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two NbO7 pentagonal bipyramids, corners with three ZrO7 pentagonal bipyramids, edges with two NbO7 pentagonal bipyramids, and edges with three ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.27 Å. In the twelfth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids, corners with two equivalent NbO7 pentagonal bipyramids, edges with two ZrO7 pentagonal bipyramids, and edges with two equivalent NbO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.06–2.28 Å. There are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to seven O2- atoms to form distorted NbO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids and edges with four ZrO7 pentagonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.98–2.22 Å. In the second Nb5+ site, Nb5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nb–O bond distances ranging from 1.91–2.22 Å. In the third Nb5+ site, Nb5+ is bonded to seven O2- atoms to form distorted NbO7 pentagonal bipyramids that share corners with two ZrO7 pentagonal bipyramids and edges with two ZrO7 pentagonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.91–2.22 Å. In the fourth Nb5+ site, Nb5+ is bonded to seven O2- atoms to form distorted NbO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids and edges with four ZrO7 pentagonal bipyramids. There are a spread of Nb–O bond distances ranging from 1.98–2.22 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the seventh O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the eighth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the eleventh O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the twelfth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Zr4+ and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the sixteenth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the nineteenth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twentieth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Zr4+ and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OZr3Nb tetrahedra. In the twenty-fourth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms. In the twenty-seventh O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Zr4+ and one Nb5+ atom to form a mixture of edge and corner-sharing OZr3Nb tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the thirtieth O2- site, O2- is bonded in a trigonal planar geometry to two Zr4+ and one Nb5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ and one Nb5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Zr4+ and one Nb5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ti4Co3O16 by Materials Project

Li5Ti4Co3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.26 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five LiO6 octahedra and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five LiO6 octahedra and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with two TiO6 octahedra, and edges with four LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with two TiO6 octahedra, and edges with four LiO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.20 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with two TiO6 octahedra, and edges with four LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.77–2.32 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO4 tetrahedra, corners with four CoO4 tetrahedra, edges with three LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with two TiO6 octahedra, and edges with four LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five CoO4 tetrahedra, edges with two TiO6 octahedra, and edges with four LiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. There are six inequivalent Co+3.67+ sites. In the first Co+3.67+ site, Co+3.67+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with five TiO6 octahedra and corners with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Co–O bond distances ranging from 1.74–1.98 Å. In the second Co+3.67+ site, Co+3.67+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with five LiO6 octahedra and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Co–O bond distances ranging from 1.83–1.98 Å. In the third Co+3.67+ site, Co+3.67+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six LiO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the fourth Co+3.67+ site, Co+3.67+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with five TiO6 octahedra and corners with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Co–O bond distances ranging from 1.73–1.92 Å. In the fifth Co+3.67+ site, Co+3.67+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with five TiO6 octahedra and corners with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Co–O bond distances ranging from 1.76–1.87 Å. In the sixth Co+3.67+ site, Co+3.67+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six LiO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Co–O bond distances ranging from 1.78–1.91 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Ti4+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Ti4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co+3.67+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co+3.67+ atom to form distorted edge-sharing OLiTi2Co tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co+3.67+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with two OLi2Ti2 trigonal pyramids, an edgeedge with one OLiTi2Co tetrahedra, and edges with two OTi3Co trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ti4+ and one Co+3.67+ atom. In the ninth O2- site, O2- is bonded to three Ti4+ and one Co+3.67+ atom to form distorted OTi3Co trigonal pyramids that share corners with two OLi2Ti2 trigonal pyramids, an edgeedge with one OLiTi2Co tetrahedra, and edges with two OLiTi2Co trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co+3.67+ atom to form distorted corner-sharing OLiTi2Co tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co+3.67+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co+3.67+ atom to form distorted OLiTi2Co trigonal pyramids that share a cornercorner with one OLiTi2Co tetrahedra, corners with two OLi2Ti2 trigonal pyramids, an edgeedge with one OLiTi2Co tetrahedra, and edges with two OTi3Co trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share a cornercorner with one OLiTi2Co tetrahedra, corners with three OTi3Co trigonal pyramids, and edges with two OLiTi2Co trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share a cornercorner with one OLiTi2Co tetrahedra, corners with three OTi3Co trigonal pyramids, and edges with two OLiTi2Co trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ti4+ and one Co+3.67+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co+3.67+ atom to form distorted OLiTi2Co trigonal pyramids that share a cornercorner with one OLiTi2Co tetrahedra and edges with two OLi2Ti2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Co+3.67+ atom. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Ti4+, and one Co+3.67+ atom. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Co+3.67+ atom. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Co+3.67+ atom. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, on

36 MATERIALS SCIENCE↗

Materials Data on CaMn4O8 by Materials Project

CaMn4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–71°. There are a spread of Ca–O bond distances ranging from 2.21–2.28 Å. In the second Ca2+ site, Ca2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 2.15–2.20 Å. In the third Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.19–2.62 Å. In the fourth Ca2+ site, Ca2+ is bonded to four O2- atoms to form distorted CaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–72°. There are a spread of Ca–O bond distances ranging from 2.17–2.22 Å. There are sixteen inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.97 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.36 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.07 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.05 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.42 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.28 Å. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.01 Å. In the thirteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.42 Å. In the fourteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.38 Å. In the fifteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.40 Å. In the sixteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.37 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ca2+ and three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to two Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the seventeenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn+3.50+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn+3.50+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the thirty-second O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Co7O16 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn13Fe3O32 by Materials Project

Li8Mn13Fe3O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. There are thirteen inequivalent Mn+3.62+ sites. In the first Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. In the second Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. In the third Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. In the fourth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fifth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the sixth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the seventh Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.16 Å. In the eighth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the ninth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the tenth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the eleventh Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the twelfth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and edges with two OLiMn2Fe trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.62+, and one Fe3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn3 tetrahedra, corners with four OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with three OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and edges with two OLiMn2Fe tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn2Fe tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with two OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with four OLiMn2Fe trigonal pyramids, and edges with two OLiMn2Fe trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the thirtieth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLi

36 MATERIALS SCIENCE↗