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Materials Data on Na2MnPCO7 by Materials Project

Na2MnCPO7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Na1+ sites. In the first 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 2.31–2.83 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 2.32–2.91 Å. In the third 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 2.27–2.89 Å. In the fourth 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 2.27–2.90 Å. In the fifth 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 2.30–2.76 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 2.32–2.93 Å. In the seventh 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 2.26–2.76 Å. In the eighth 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 2.39–2.71 Å. There are four inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.19 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.25 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.17 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.22 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.24–1.35 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.25–1.34 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There is three shorter (1.55 Å) and one longer (1.59 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one C4+ atom. In the third O2- site, O2- is bonded to three Na1+, one Mn3+, and one C4+ atom to form distorted edge-sharing ONa3MnC trigonal bipyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one C4+ atom. In the fifth O2- site, O2- is bonded to two Na1+, one Mn3+, and one C4+ atom to form distorted edge-sharing ONa2MnC trigonal pyramids. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn3+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Mn3+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one C4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Mn3+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Na1+ and one C4+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiCu2F5 by Materials Project

LiCu2F5 crystallizes in the tetragonal P4_2/nbc space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four equivalent F1- atoms. All Li–F bond lengths are 1.88 Å. In the second Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are four shorter (2.16 Å) and four longer (2.48 Å) Li–F bond lengths. Cu2+ is bonded in a rectangular see-saw-like geometry to four F1- atoms. There are a spread of Cu–F bond distances ranging from 1.84–1.94 Å. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two equivalent Cu2+ atoms. In the second F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two equivalent Cu2+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one Cu2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgTi4MnZnNiO12 by Materials Project

MgTi4MnNiZnO12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Mg2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Mg–O bond distances ranging from 1.73–2.13 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.71–2.46 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.69–2.42 Å. In the third Ti4+ site, Ti4+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.68–2.35 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 1-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.69–2.49 Å. Mn2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.79–2.19 Å. Ni2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Ni–O bond distances ranging from 1.72–2.11 Å. Zn2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Zn–O bond distances ranging from 1.78–2.18 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Ni2+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Mn2+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Ti4+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mg2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two Ti4+, and one Ni2+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+, one Mn2+, and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti4+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one Mn2+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Ti4+ and one Ni2+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two Ti4+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ti4+, one Mn2+, and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na22CaFe6P12(O8F)6 by Materials Project

Na22CaFe6P12(O8F)6 crystallizes in the trigonal P3 space group. The structure is three-dimensional. there are ten inequivalent Na sites. In the first Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.29–2.59 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.28–2.53 Å. In the third Na site, Na is bonded to three equivalent O and three equivalent F atoms to form distorted NaO3F3 octahedra that share corners with three equivalent FeO5F octahedra and corners with three equivalent PO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. All Na–O bond lengths are 2.46 Å. All Na–F bond lengths are 2.50 Å. In the fourth Na site, Na is bonded to three equivalent O and three equivalent F atoms to form distorted NaO3F3 octahedra that share corners with three equivalent FeO5F octahedra, corners with three equivalent PO4 tetrahedra, and edges with three equivalent NaO5F octahedra. The corner-sharing octahedral tilt angles are 20°. All Na–O bond lengths are 2.51 Å. All Na–F bond lengths are 2.47 Å. In the fifth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. All Na–O bond lengths are 2.54 Å. In the sixth Na site, Na is bonded to five O and one F atom to form distorted NaO5F octahedra that share corners with five PO4 tetrahedra, an edgeedge with one NaO3F3 octahedra, and edges with two equivalent FeO5F octahedra. There are a spread of Na–O bond distances ranging from 2.25–2.62 Å. The Na–F bond length is 2.36 Å. In the seventh Na site, Na is bonded in a 6-coordinate geometry to five O and one F atom. There are a spread of Na–O bond distances ranging from 2.26–2.58 Å. The Na–F bond length is 2.46 Å. In the eighth Na site, Na is bonded in a 6-coordinate geometry to six O and three equivalent F atoms. There are three shorter (2.52 Å) and three longer (2.86 Å) Na–O bond lengths. All Na–F bond lengths are 2.37 Å. In the ninth Na site, Na is bonded in a 4-coordinate geometry to four O and two equivalent F atoms. There are a spread of Na–O bond distances ranging from 2.30–2.71 Å. There are one shorter (2.37 Å) and one longer (2.74 Å) Na–F bond lengths. In the tenth Na site, Na is bonded in a 6-coordinate geometry to four O and two equivalent F atoms. There are a spread of Na–O bond distances ranging from 2.31–2.74 Å. There are one shorter (2.31 Å) and one longer (2.67 Å) Na–F bond lengths. Ca is bonded to six O atoms to form CaO6 octahedra that share corners with six PO4 tetrahedra. There are three shorter (2.40 Å) and three longer (2.41 Å) Ca–O bond lengths. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to five O and one F atom to form FeO5F octahedra that share a cornercorner with one NaO3F3 octahedra and corners with five PO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. The Fe–F bond length is 2.09 Å. In the second Fe site, Fe is bonded to five O and one F atom to form FeO5F octahedra that share a cornercorner with one NaO3F3 octahedra, corners with five PO4 tetrahedra, and edges with two equivalent NaO5F octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Fe–O bond distances ranging from 1.97–2.14 Å. The Fe–F bond length is 2.02 Å. There are four inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NaO5F octahedra, a cornercorner with one CaO6 octahedra, and corners with two FeO5F octahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NaO5F octahedra, a cornercorner with one CaO6 octahedra, and corners with two FeO5F octahedra. The corner-sharing octahedra tilt angles range from 36–74°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three NaO3F3 octahedra and corners with three FeO5F octahedra. The corner-sharing octahedra tilt angles range from 34–63°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two NaO3F3 octahedra and corners with three FeO5F octahedra. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Ca, and one P atom. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Ca, and one P atom. In the third O site, O is bonded in a 4-coordinate geometry to two Na, one Fe, and one P atom. In the fourth O site, O is bonded in a 4-coordinate geometry to two Na, one Fe, and one P atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Na, one Fe, and one P atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na, one Fe, and one P atom. In the seventh O site, O is bonded in a 3-coordinate geometry to two Na and one P atom. In the eighth O site, O is bonded in a 3-coordinate geometry to two Na and one P atom. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Na and one P atom. In the tenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Na and one P atom. In the eleventh O site, O is bonded in a 5-coordinate geometry to three Na, one Fe, and one P atom. In the twelfth O site, O is bonded in a 5-coordinate geometry to three Na, one Fe, and one P atom. In the thirteenth O site, O is bonded in a distorted trigonal pyramidal geometry to two Na, one Fe, and one P atom. In the fourteenth O site, O is bonded in a 2-coordinate geometry to three Na, one Fe, and one P atom. In the fifteenth O site, O is bonded in a 4-coordinate geometry to two Na, one Fe, and one P atom. In the sixteenth O site, O is bonded in a 4-coordinate geometry to two Na, one Fe, and one P atom. There are two inequivalent F sites. In the first F site, F is bonded in a 6-coordinate geometry to five Na and one Fe atom. In the second F site, F is bonded in a 5-coordinate geometry to four Na and one Fe atom.

36 MATERIALS SCIENCE↗

Materials Data on NaMg4(SiO3)6 by Materials Project

NaMg4(SiO3)6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.43–2.93 Å. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four equivalent SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.98–2.15 Å. In the second Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.97–2.17 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.29 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.19 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Si–O bond distances ranging from 1.63–1.67 Å. There are nine inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to two equivalent Si atoms. In the second O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the third O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Na and two Si atoms. In the sixth O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the seventh O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si tetrahedra. In the eighth O site, O is bonded in a 4-coordinate geometry to three Mg and one O atom. The O–O bond length is 1.51 Å. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Mg, and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on KSeNO2 by Materials Project

KNSeO2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.75–3.17 Å. In the second K1+ site, K1+ is bonded to six O2- atoms to form distorted KO6 pentagonal pyramids that share corners with six SeN2O2 tetrahedra and edges with three equivalent KO6 octahedra. There are a spread of K–O bond distances ranging from 2.82–2.97 Å. In the third K1+ site, K1+ is bonded to six O2- atoms to form distorted KO6 octahedra that share corners with six SeN2O2 tetrahedra, an edgeedge with one KO6 octahedra, and edges with three equivalent KO6 pentagonal pyramids. There are a spread of K–O bond distances ranging from 2.71–2.96 Å. There are three inequivalent N5+ sites. In the first N5+ site, N5+ is bonded in a water-like geometry to two Se2- atoms. Both N–Se bond lengths are 1.81 Å. In the second N5+ site, N5+ is bonded in a water-like geometry to two Se2- atoms. There is one shorter (1.81 Å) and one longer (1.82 Å) N–Se bond length. In the third N5+ site, N5+ is bonded in a bent 120 degrees geometry to two Se2- atoms. There is one shorter (1.80 Å) and one longer (1.82 Å) N–Se bond length. There are three inequivalent Se2- sites. In the first Se2- site, Se2- is bonded to two N5+ and two O2- atoms to form SeN2O2 tetrahedra that share a cornercorner with one KO6 octahedra, corners with two equivalent KO6 pentagonal pyramids, and corners with two SeN2O2 tetrahedra. The corner-sharing octahedral tilt angles are 64°. There is one shorter (1.66 Å) and one longer (1.67 Å) Se–O bond length. In the second Se2- site, Se2- is bonded to two N5+ and two O2- atoms to form SeN2O2 tetrahedra that share corners with three equivalent KO6 octahedra, corners with two equivalent KO6 pentagonal pyramids, and corners with two SeN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 63–75°. There is one shorter (1.65 Å) and one longer (1.67 Å) Se–O bond length. In the third Se2- site, Se2- is bonded to two N5+ and two O2- atoms to form SeN2O2 tetrahedra that share corners with two equivalent KO6 octahedra, corners with two equivalent KO6 pentagonal pyramids, and corners with two SeN2O2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is one shorter (1.66 Å) and one longer (1.67 Å) Se–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one Se2- atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and one Se2- atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one Se2- atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to three K1+ and one Se2- atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one Se2- atom. In the sixth O2- site, O2- is bonded in a distorted tetrahedral geometry to three K1+ and one Se2- atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn16O32 by Materials Project

LiMn16O32 is zeta iron carbide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Li1+ is bonded in a bent 120 degrees geometry to two O2- atoms. There are one shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. There are twelve inequivalent Mn+3.94+ sites. In the first Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the second Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the fourth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the fifth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the sixth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the seventh Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the eighth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–2.03 Å. In the ninth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the tenth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the eleventh Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the twelfth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.94+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.94+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe8(BO3)8 by Materials Project

Li3Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.10 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.17 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.21 Å. There are eight inequivalent Fe+2.62+ sites. In the first Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.15 Å. In the second Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.19 Å. In the third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.22 Å. In the fourth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.85–2.08 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.13 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.17 Å. In the seventh Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.18 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.17 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.45 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.44 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn3Fe5(BO3)8 by Materials Project

Li8Mn3Fe5(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.47 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.46 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.48 Å. There are five inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.41 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.48 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.00–2.43 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.41 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.00–2.41 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 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 1.38–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twenty-third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CrCuS2 by Materials Project

CuCrS2 crystallizes in the trigonal R3m space group. The structure is three-dimensional. Cr3+ is bonded to six S2- atoms to form distorted edge-sharing CrS6 pentagonal pyramids. There are three shorter (2.33 Å) and three longer (2.39 Å) Cr–S bond lengths. Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are one shorter (2.21 Å) and three longer (2.35 Å) Cu–S bond lengths. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to three equivalent Cr3+ and three equivalent Cu1+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to three equivalent Cr3+ and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LaTi6O12 by Materials Project

LaTi6O12 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.08 Å. There are six inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three TiO6 octahedra, edges with two TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 26–61°. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.37 Å. In the third Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, edges with three TiO6 octahedra, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–31°. There are a spread of Ti–O bond distances ranging from 1.87–2.24 Å. In the fourth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent TiO5 trigonal bipyramids, edges with four TiO6 octahedra, and an edgeedge with one TiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.84–2.18 Å. In the fifth Ti+3.50+ site, Ti+3.50+ is bonded to five O2- atoms to form edge-sharing TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.83–2.12 Å. In the sixth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 31°. There are a spread of Ti–O bond distances ranging from 1.74–2.23 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Ti+3.50+ atoms. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent La3+ and three Ti+3.50+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Ti+3.50+ atoms. In the sixth O2- site, O2- is bonded in a T-shaped geometry to one La3+ and three Ti+3.50+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.50+ atoms to form a mixture of edge and corner-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti+3.50+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.50+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted water-like geometry to one La3+ and two Ti+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+ and two Ti+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TaCuS2 by Materials Project

TaCuS2 is Ilmenite-like structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Ta3+ is bonded to six S2- atoms to form distorted edge-sharing TaS6 pentagonal pyramids. There are three shorter (2.49 Å) and three longer (2.52 Å) Ta–S bond lengths. Cu1+ is bonded in a rectangular see-saw-like geometry to four S2- atoms. There are one shorter (2.21 Å) and three longer (2.34 Å) Cu–S bond lengths. There are two inequivalent S2- sites. In the first S2- site, S2- is bonded in a 6-coordinate geometry to three equivalent Ta3+ and three equivalent Cu1+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to three equivalent Ta3+ and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe4(BO3)4 by Materials Project

Li3Fe4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.15 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.00–2.15 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.33 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.32 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.27 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.15 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.11 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.22 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.24 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.21 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2NiP2O7 by Materials Project

Li2NiP2O7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight 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 1.92–2.29 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.24 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.88–1.96 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one NiO5 trigonal bipyramid, an edgeedge with one NiO6 octahedra, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.35 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one NiO5 trigonal bipyramid, an edgeedge with one NiO6 octahedra, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.37 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.88–1.96 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.24 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.27 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.07–2.20 Å. In the second Ni2+ site, Ni2+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one NiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.04–2.14 Å. In the third Ni2+ site, Ni2+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one NiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.04–2.16 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.07–2.19 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 a cornercorner with one NiO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and corners with two NiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one NiO5 trigonal bipyramid, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO4 tetrahedra, and corners with two NiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–56°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO4 tetrahedra, and corners with two NiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and corners with two NiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one NiO5 trigonal bipyramid, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni2+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Ni2+, and one P5+ atom to form distorted corner-sharing OLi2NiP tetrahedra. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ni2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Ni2+, and one P5+ atom to form distorted corner-sharing OLi2NiP tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ni2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Ni2+, and one P5+ atom to form distorted corner-sharing OLi2NiP tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ni2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ni2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Ni2+, and one P5+ atom to form distorted corner-sharing OLi2NiP tetrahedra. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ni2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn8(BO3)8 by Materials Project

Li5Mn8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.53 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.43 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. There are eight inequivalent Mn+2.38+ sites. In the first Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.93–2.07 Å. In the second Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.22 Å. In the third Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.30 Å. In the fourth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the fifth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.13–2.26 Å. In the sixth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.24 Å. In the seventh Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.34 Å. In the eighth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.03 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.44 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnVP2(HO5)2 by Materials Project

Li2VMnP2(HO5)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent VO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one LiO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Li–O bond distances ranging from 2.02–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with two equivalent VO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. There are two inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, edges with three LiO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of V–O bond distances ranging from 1.98–2.09 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with two equivalent LiO5 square pyramids, corners with four PO4 tetrahedra, and corners with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of V–O bond distances ranging from 2.00–2.09 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four LiO5 square pyramids, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one VO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, edges with three LiO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, corners with two LiO5 square pyramids, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 38–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, corners with two LiO5 square pyramids, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three VO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.73 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.74 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V4+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Mn2+, one P5+, and one H1+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, one V4+, one Mn2+, and one H1+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, two Mn2+, and one H1+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Mn2+, one P5+, and one H1+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, one V4+, one Mn2+, and one H1+ atom. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, two V4+, and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V4+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one V4+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V4+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Yb2FeS4 by Materials Project

FeYb2S4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Yb+2.50+ sites. In the first Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Yb–S bond distances ranging from 2.75–2.81 Å. In the second Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form a mixture of corner and edge-sharing YbS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Yb–S bond distances ranging from 2.76–2.82 Å. In the third Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form edge-sharing YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.73–2.76 Å. In the fourth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent YbS6 octahedra, corners with three FeS4 tetrahedra, an edgeedge with one FeS6 octahedra, and edges with five YbS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Yb–S bond distances ranging from 2.68–2.85 Å. In the fifth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three FeS4 tetrahedra, an edgeedge with one FeS6 octahedra, and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.69–2.81 Å. In the sixth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra, edges with two equivalent FeS6 octahedra, and edges with four YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.73–2.82 Å. In the seventh Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra, edges with two FeS6 octahedra, and edges with four YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.73–2.81 Å. In the eighth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent FeS6 octahedra, corners with four FeS4 tetrahedra, and edges with six YbS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Yb–S bond distances ranging from 2.83–2.99 Å. In the ninth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra, edges with two FeS6 octahedra, and edges with four YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.73–2.81 Å. In the tenth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with four FeS4 tetrahedra, an edgeedge with one FeS6 octahedra, and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.66–2.83 Å. In the eleventh Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra, edges with two equivalent FeS6 octahedra, and edges with five YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.73–2.82 Å. In the twelfth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with four FeS4 tetrahedra, an edgeedge with one FeS6 octahedra, and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.66–2.83 Å. In the thirteenth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent YbS6 octahedra, corners with two equivalent FeS4 tetrahedra, and edges with seven YbS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Yb–S bond distances ranging from 2.70–2.97 Å. In the fourteenth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent YbS6 octahedra, corners with two equivalent FeS4 tetrahedra, and edges with seven YbS6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Yb–S bond distances ranging from 2.69–2.84 Å. In the fifteenth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.67–2.81 Å. In the sixteenth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with two equivalent FeS4 tetrahedra and edges with eight YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.71–2.82 Å. There are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four S2- atoms to form distorted FeS4 tetrahedra that share corners with nine YbS6 octahedra and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Fe–S bond distances ranging from 2.14–2.23 Å. In the second Fe3+ site, Fe3+ is bonded to four S2- atoms to form distorted FeS4 tetrahedra that share corners with nine YbS6 octahedra and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Fe–S bond distances ranging from 2.19–2.26 Å. In the third Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with ten YbS6 octahedra and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Fe–S bond distances ranging from 2.19–2.31 Å. In the fourth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share edges with six YbS6 octahedra and faces with two FeS4 tetrahedra. There are a spread of Fe–S bond distances ranging from 2.41–2.46 Å. In the fifth Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with eleven YbS6 octahedra and a faceface with one FeS6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of Fe–S bond distances ranging from 2.17–2.31 Å. In the sixth Fe3+ site, Fe3+ is bonded to six S2- atoms to form FeS6 octahedra that share corners with three equivalent YbS6 octahedra, edges with six YbS6 octahedra, and faces with two FeS4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Fe–S bond distances ranging from 2.43–2.61 Å. In the seventh Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with twelve YbS6 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Fe–S bond distances ranging from 2.16–2.26 Å. In the eighth Fe3+ site, Fe3+ is bonded in a 3-coordinate geometry to six S2- atoms. There are a spread of Fe–S bond distances ranging from 2.19–2.99 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Yb+2.50+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Yb+2.50+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Yb+2.50+ atoms. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Yb+2.50+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the thirteenth S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing SYb3Fe2 square pyramids. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the fifteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the sixteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to three Yb+2.50+ and two Fe3+ atoms. In the eighteenth S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing SYb3Fe2 square pyramids. In the nineteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twentieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the twenty-first S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing SYb3Fe2 square pyramids. In the twenty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Yb+2.50+ atoms. In the twenty-third S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-fourth S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form a mixture of distorted corner and edge-sharing SYb3Fe2 square pyramids. In the twenty-fifth S2- site, S2- is bonded to five Yb+2.50+ atoms to form edge-sharing SYb5 square pyramids. In the twenty-sixth S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form distorted SYb3Fe2 square pyramids that share a cornercorner with one SYb5 square pyramid and edges with three SYb3Fe2 square pyramids. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Yb+2.50+ atoms. In the thirtieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Yb+2.50+ atoms. In the thirty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the thirty-second S2- site, S2- is bonded to five Yb+2.50+ atoms to form SYb5 square pyramids that share corners with three SYb3Fe2 square pyramids and edges with two equivalent SYb5 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Na4Ti7O16 by Materials Project

Na4Ti7O16 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first 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 2.11–2.46 Å. In the second 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 2.20–2.41 Å. In the third 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 2.14–2.78 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.93–2.34 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Ti–O bond distances ranging from 1.88–2.20 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Na1+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded to two Na1+ and two Ti4+ atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with two ONa2Ti3 square pyramids, corners with two equivalent ONa2Ti2 trigonal pyramids, and edges with two ONa2Ti3 square pyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded to two equivalent Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti2 trigonal pyramids, edges with two equivalent ONa3Ti2 square pyramids, and edges with two equivalent ONa2Ti2 trigonal pyramids. In the ninth O2- site, O2- is bonded to three Na1+ and two equivalent Ti4+ atoms to form distorted ONa3Ti2 square pyramids that share corners with two equivalent ONa2Ti2 trigonal pyramids, edges with two equivalent ONa2Ti3 square pyramids, and edges with two equivalent ONa2Ti2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a tetrahedral geometry to one Na1+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗