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Materials Data on La7SmMn6(FeO12)2 by Materials Project

SmLa7Mn6(FeO12)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.75–2.79 Å. There are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.81 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the fifth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.81 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mn–O bond distances ranging from 1.96–1.98 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is five shorter (1.97 Å) and one longer (1.98 Å) Mn–O bond length. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MnO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is five shorter (1.97 Å) and one longer (1.98 Å) Fe–O bond length. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Mn3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Mn3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Mn3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Mn3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Mn3+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Mn3+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Mn3+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Mn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg(MnS2)2 by Materials Project

Mg(MnS2)2 is Spinel structured and crystallizes in the tetragonal I4_1/amd space group. The structure is three-dimensional. Mg2+ is bonded to four equivalent S2- atoms to form MgS4 tetrahedra that share corners with twelve equivalent MnS6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. All Mg–S bond lengths are 2.45 Å. Mn3+ is bonded to six equivalent S2- atoms to form MnS6 octahedra that share corners with six equivalent MgS4 tetrahedra and edges with six equivalent MnS6 octahedra. There are two shorter (2.44 Å) and four longer (2.47 Å) Mn–S bond lengths. S2- is bonded to one Mg2+ and three equivalent Mn3+ atoms to form a mixture of distorted edge and corner-sharing SMgMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mg(MnS2)2 by Materials Project

Mg(MnS2)2 is Spinel structured and crystallizes in the tetragonal I4_1/amd space group. The structure is three-dimensional. Mg2+ is bonded to four equivalent S2- atoms to form MgS4 tetrahedra that share corners with twelve equivalent MnS6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. All Mg–S bond lengths are 2.45 Å. Mn3+ is bonded to six equivalent S2- atoms to form MnS6 octahedra that share corners with six equivalent MgS4 tetrahedra and edges with six equivalent MnS6 octahedra. There are four shorter (2.43 Å) and two longer (2.53 Å) Mn–S bond lengths. S2- is bonded to one Mg2+ and three equivalent Mn3+ atoms to form a mixture of distorted corner and edge-sharing SMgMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn(PO4)2 by Materials Project

Li3Mn(PO4)2 crystallizes in the monoclinic P2_1/c 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 2.03–2.20 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 81°. There are a spread of Li–O bond distances ranging from 2.00–2.29 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.35 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.36 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent MnO6 octahedra and corners with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent MnO6 octahedra and corners with three equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3Mn(BO3)2 by Materials Project

Na3Mn(BO3)2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 trigonal pyramids that share corners with two NaO5 trigonal bipyramids, corners with three equivalent MnO5 trigonal bipyramids, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.24–2.54 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 trigonal bipyramids that share corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one NaO5 trigonal bipyramid, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.28–2.35 Å. In the third Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 trigonal bipyramids that share a cornercorner with one MnO5 trigonal bipyramid, corners with two equivalent NaO5 trigonal bipyramids, a cornercorner with one NaO4 trigonal pyramid, an edgeedge with one MnO5 trigonal bipyramid, edges with two NaO5 trigonal bipyramids, and an edgeedge with one NaO4 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.33–2.47 Å. Mn3+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one NaO5 trigonal bipyramid, corners with three equivalent NaO4 trigonal pyramids, and edges with three NaO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.17 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn3+, and one B3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to four Na1+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn3+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn(PO4)2 by Materials Project

Li3Mn(PO4)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.93 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.99–2.09 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.67 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and corners with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.94–2.17 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with three PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.06 Å. In the second Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.10 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 two LiO4 tetrahedra and corners with two MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with two MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. There are sixteen 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 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on SrLaMnO4 by Materials Project

LaSrMnO4 is (La,Ba)CuO4-derived structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–2.79 Å. La3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.81 Å. Mn3+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Sr2+, three equivalent La3+, and one Mn3+ atom to form distorted OSr2La3Mn octahedra that share corners with seventeen OSr2La2Mn2 octahedra, edges with eight OSr2La3Mn octahedra, and faces with four equivalent OSr2La2Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–52°. In the second O2- site, O2- is bonded to three equivalent Sr2+, two equivalent La3+, and one Mn3+ atom to form distorted OSr3La2Mn octahedra that share corners with seventeen OSr2La2Mn2 octahedra, edges with eight OSr2La3Mn octahedra, and faces with four equivalent OSr2La2Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–55°. In the third O2- site, O2- is bonded to two equivalent Sr2+, two equivalent La3+, and two equivalent Mn3+ atoms to form a mixture of distorted corner, edge, and face-sharing OSr2La2Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–55°.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are four shorter (2.21 Å) and two longer (2.23 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are two shorter (2.09 Å) and four longer (2.11 Å) Li–O bond lengths. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.81–2.07 Å. Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Co–O bond distances ranging from 1.99–2.04 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form OLi5Mn octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–16°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Li–O bond distances ranging from 1.96–2.50 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.03–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Li–O bond distances ranging from 2.01–2.58 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Li–O bond distances ranging from 1.95–2.37 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Mn–O bond distances ranging from 1.80–2.10 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. There are a spread of Co–O bond distances ranging from 1.83–2.32 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Co–O bond distances ranging from 1.79–2.34 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn3+ atoms to form OLi3Mn3 octahedra that share corners with three equivalent OLi3Mn2Co octahedra and edges with eleven OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the second O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. In the third O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form distorted OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of corner and edge-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 8–11°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form distorted OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with eight OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. In the sixth O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form a mixture of distorted corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of distorted corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with ten OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Mn3+ atom. In the tenth O2- site, O2- is bonded to three Li1+ and three Mn3+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Mn2 octahedra and edges with ten OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 4–13°.

36 MATERIALS SCIENCE↗

Materials Data on ScMn(BiO3)2 by Materials Project

ScMn(BiO3)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Sc3+ is bonded to six O2- atoms to form ScO6 octahedra that share corners with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–34°. There are a spread of Sc–O bond distances ranging from 2.03–2.25 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent ScO6 octahedra. The corner-sharing octahedra tilt angles range from 23–34°. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.21–2.52 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+, one Mn3+, and one Bi3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Sc3+, one Mn3+, and one Bi3+ atom. In the third O2- site, O2- is bonded to one Sc3+, one Mn3+, and two equivalent Bi3+ atoms to form a mixture of distorted edge and corner-sharing OScMnBi2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn17(SiO16)2 by Materials Project

Li5Mn17(SiO16)2 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two SiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Li–O bond distances ranging from 2.02–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one SiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.03–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one SiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–74°. There are a spread of Li–O bond distances ranging from 2.04–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two SiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 2.02–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two SiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. There are seventeen inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three MnO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.17 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three MnO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.18 Å. In the third Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two SiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–74°. There are a spread of Mn–O bond distances ranging from 2.02–2.07 Å. In the fourth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with two SiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–71°. There are a spread of Mn–O bond distances ranging from 2.02–2.07 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two SiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two SiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three MnO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three MnO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the tenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.23 Å. In the eleventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.22 Å. In the twelfth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.20 Å. In the thirteenth Mn3+ site, Mn3+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Mn–O bond distances ranging from 2.05–2.09 Å. In the fourteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.24 Å. In the fifteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.27 Å. In the sixteenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. In the seventeenth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.25 Å. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to six O2- atoms to form SiO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Si–O bond distances ranging from 1.80–1.86 Å. In the second Si4+ site, Si4+ is bonded to six O2- atoms to form SiO6 octahedra that share corners with two MnO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one SiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Si–O bond distances ranging from 1.76–1.90 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Mn3+ and one Si4+ atom to form distorted OMn3Si tetrahedra that share corners with five OLiMn2Si trigonal pyramids, an edgeedge with one OLiMn2Si tetrahedra, and edges with two OMn3Si trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the fifth O2- site, O2- is bonded to three Mn3+ and one Si4+ atom to form distorted OMn3Si trigonal pyramids that share corners with two OMn4 tetrahedra, corners with two OLiMn2Si trigonal pyramids, edges with two OMn3Si tetrahedra, and an edgeedge with one OMn4 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+, one Mn3+, and two Si4+ atoms to form distorted OLiMnSi2 trigonal pyramids that share corners with three OLiMn2Si tetrahedra, corners with three OMn4 trigonal pyramids, an edgeedge with one OLiMn2Si tetrahedra, and an edgeedge with one OLiMn2Si trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn3+, and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, two Mn3+, and one Si4+ atom to form distorted OLiMn2Si trigonal pyramids that share corners with three OMn4 tetrahedra, corners with four OMn4 trigonal pyramids, an edgeedge with one OLiMn2Si tetrahedra, and an edgeedge with one OLiMnSi2 trigonal pyramid. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the twelfth O2- site, O2- is bonded to four Mn3+ atoms to form distorted OMn4 trigonal pyramids that share corners with two OLiMn2Si tetrahedra, corners with three OLiMn2Si trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn3+, and one Si4+ atom to form distorted OLiMn2Si tetrahedra that share corners with two OMn4 tetrahedra, corners with two OMn4 trigonal pyramids, and edges with two OLiMn2Si trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Mn3+ atoms to form distorted OMn4 tetrahedra that share corners with two OLiMn2Si tetrahedra, corners with two OLiMn2Si trigonal pyramids, and an edgeedge with one OMn4 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Mn3+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn3+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OLiMn2Si tetrahedra, corners with three OLiMn2Si trigonal pyramids, and an edgeedge with one OMn4 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the twenty-first O2- site, O2- is bonded to four Mn3+ atoms to form distorted OMn4 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with three OLiMn3 trigonal pyramids, and an edgeedge with one OMn4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Mn3+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn4 tetrahedra, corners with four OLiMn2Si trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn3+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with five OMn4 tetrahedra, a cornercorner with one OMn4 trigonal pyramid, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn3+ atoms to form distorted OLiMn3 tetrahedra t

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.00–2.43 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.03–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.11–2.33 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.09–2.31 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.94–2.22 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 1.96–2.27 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Co–O bond distances ranging from 1.92–2.20 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 2.01–2.05 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn3+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the second O2- site, O2- is bonded to six Li1+ atoms to form a mixture of edge and corner-sharing OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the third O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn3+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to six Li1+ atoms to form OLi6 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the seventh O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi6 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the eighth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn3+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn3+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.04–2.36 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.08–2.13 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.90–2.17 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°.

36 MATERIALS SCIENCE↗

Materials Data on LiMg30MnO32 by Materials Project

LiMg30MnO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.16 Å) and two longer (2.30 Å) Li–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.11 Å) and four longer (2.13 Å) Mg–O bond lengths. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.14 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.13 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.13 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.14 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are four shorter (2.12 Å) and two longer (2.14 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (1.95 Å) and four longer (2.13 Å) Mn–O bond lengths. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn3+ atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.09 Å) and two longer (2.11 Å) O–Mg bond lengths. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.11 Å) and two longer (2.16 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighth O2- site, O2- is bonded to one Li1+, four equivalent Mg2+, and one Mn3+ atom to form OLiMg4Mn octahedra that share corners with six OLiMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on LiMnP4(H2O7)2 by Materials Project

LiMnP4(H2O7)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.50–2.63 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.17 Å. There are two 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 two equivalent LiO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–63°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. There are two inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.46 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.53 Å) H–O bond length. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one P5+ and two H1+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one P5+ and one H1+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one P5+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.01–2.28 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CoO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. All Li–O bond lengths are 2.14 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are two shorter (2.07 Å) and four longer (2.13 Å) Li–O bond lengths. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Mn–O bond distances ranging from 1.82–2.05 Å. Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Co–O bond distances ranging from 1.97–2.04 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on LiMg30MnO32 by Materials Project

LiMg30MnO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.19 Å) and four longer (2.20 Å) Li–O bond lengths. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.05–2.23 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four longer (2.13 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.09 Å) and four longer (2.14 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mg–O bond distances ranging from 2.08–2.18 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.15 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.01 Å) and two longer (2.20 Å) Mn–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn3+ atom to form OMg5Mn octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OLiMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifth O2- site, O2- is bonded to five Mg2+ and one Mn3+ atom to form a mixture of edge and corner-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to five Mg2+ and one Mn3+ atom to form a mixture of edge and corner-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.17 Å) and two longer (2.18 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. The O–Mg bond length is 2.05 Å. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. Both O–Mg bond lengths are 2.12 Å. In the eleventh O2- site, O2- is bonded to five Mg2+ and one Mn3+ atom to form a mixture of edge and corner-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of O–Mg bond distances ranging from 2.17–2.23 Å. In the twelfth O2- site, O2- is bonded to one Li1+ and five Mg2+ atoms to form OLiMg5 octahedra that share corners with six OLiMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.08 Å) and two longer (2.12 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Hf3(Mn2Si3)2 by Materials Project

Hf3Mn4Si6 crystallizes in the tetragonal P4_2/mbc space group. The structure is three-dimensional. there are three inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to seven Si4- atoms to form HfSi7 pentagonal bipyramids that share corners with two equivalent MnSi6 octahedra, corners with eight HfSi7 pentagonal bipyramids, edges with three HfSi7 pentagonal bipyramids, faces with two equivalent MnSi6 octahedra, and faces with three HfSi7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Hf–Si bond distances ranging from 2.60–2.84 Å. In the second Hf4+ site, Hf4+ is bonded to seven Si4- atoms to form HfSi7 pentagonal bipyramids that share corners with two equivalent MnSi6 octahedra, corners with six HfSi7 pentagonal bipyramids, edges with two equivalent HfSi7 pentagonal bipyramids, faces with two equivalent MnSi6 octahedra, and faces with six HfSi7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Hf–Si bond distances ranging from 2.72–2.84 Å. In the third Hf4+ site, Hf4+ is bonded to seven Si4- atoms to form HfSi7 pentagonal bipyramids that share corners with four equivalent MnSi6 octahedra, corners with six HfSi7 pentagonal bipyramids, an edgeedge with one HfSi7 pentagonal bipyramid, and faces with five HfSi7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of Hf–Si bond distances ranging from 2.68–2.82 Å. There are three inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six Si4- atoms. There are a spread of Mn–Si bond distances ranging from 2.40–2.46 Å. In the second Mn3+ site, Mn3+ is bonded in a 7-coordinate geometry to seven Si4- atoms. There are a spread of Mn–Si bond distances ranging from 2.35–2.85 Å. In the third Mn3+ site, Mn3+ is bonded to six Si4- atoms to form distorted MnSi6 octahedra that share corners with eight HfSi7 pentagonal bipyramids, faces with two equivalent MnSi6 octahedra, and faces with four HfSi7 pentagonal bipyramids. There are a spread of Mn–Si bond distances ranging from 2.39–2.48 Å. There are six inequivalent Si4- sites. In the first Si4- site, Si4- is bonded in a 6-coordinate geometry to one Hf4+, four equivalent Mn3+, and one Si4- atom. The Si–Si bond length is 2.35 Å. In the second Si4- site, Si4- is bonded in a 9-coordinate geometry to five Hf4+ and four Mn3+ atoms. In the third Si4- site, Si4- is bonded in a 12-coordinate geometry to four Hf4+ and four equivalent Mn3+ atoms. In the fourth Si4- site, Si4- is bonded in a 9-coordinate geometry to four Hf4+ and five Mn3+ atoms. In the fifth Si4- site, Si4- is bonded in a 5-coordinate geometry to one Hf4+ and six Mn3+ atoms. In the sixth Si4- site, Si4- is bonded in a 10-coordinate geometry to six Hf4+, two equivalent Mn3+, and two equivalent Si4- atoms. Both Si–Si bond lengths are 2.52 Å.

36 MATERIALS SCIENCE↗