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Materials Data on Li3Mn(BO3)2 by Materials Project

Li3Mn(BO3)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 distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–74°. There are a spread of Li–O bond distances ranging from 1.93–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–85°. There are a spread of Li–O bond distances ranging from 1.91–2.19 Å. Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four LiO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.32 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 1.34–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+, one Mn3+, and one B3+ atom. In the fourth O2- site, O2- is bonded to three Li1+, one Mn3+, and one B3+ atom to form distorted corner-sharing OLi3MnB trigonal bipyramids. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one B3+ atom. In the sixth O2- site, O2- is bonded to two Li1+, one Mn3+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids.

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Materials Data on Na3MnS2(O4F)2 by Materials Project

Na3MnS2(O4F)2 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 7-coordinate geometry to six O2- and one F1- atom. There are a spread of Na–O bond distances ranging from 2.40–2.85 Å. The Na–F bond length is 2.42 Å. In the second Na1+ site, Na1+ is bonded to two equivalent O2- and four equivalent F1- atoms to form distorted NaO2F4 pentagonal pyramids that share corners with two equivalent MnO4F2 octahedra, corners with two equivalent SO4 tetrahedra, an edgeedge with one MnO4F2 octahedra, and edges with two equivalent NaO2F4 pentagonal pyramids. The corner-sharing octahedral tilt angles are 54°. Both Na–O bond lengths are 2.38 Å. There are two shorter (2.41 Å) and two longer (2.53 Å) Na–F bond lengths. Mn3+ is bonded to four O2- and two equivalent F1- atoms to form MnO4F2 octahedra that share corners with two equivalent NaO2F4 pentagonal pyramids, corners with four equivalent SO4 tetrahedra, and an edgeedge with one NaO2F4 pentagonal pyramid. There are two shorter (1.97 Å) and two longer (2.21 Å) Mn–O bond lengths. Both Mn–F bond lengths are 1.92 Å. S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two equivalent MnO4F2 octahedra and a cornercorner with one NaO2F4 pentagonal pyramid. The corner-sharing octahedral tilt angles are 44°. There are a spread of S–O bond distances ranging from 1.47–1.53 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one S6+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three equivalent Na1+ and one S6+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn3+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn3+, and one S6+ atom. F1- is bonded to three Na1+ and one Mn3+ atom to form a mixture of distorted edge and corner-sharing FNa3Mn tetrahedra.

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Ba 4 RuMn 2 O 10 : A Noncentrosymmetric Polar Crystal Structure with Disordered Trimers

Phase-pure polycrystalline Ba 4 RuMn 2 O 10 was prepared and determined to adopt the noncentrosymmetric polar crystal structure (space group Cmc2 1 ) based on results of second harmonic generation, convergent beam electron diffraction, and Rietveld refinements using powder neutron diffraction data. The crystal structure features zigzag chains of corner-shared trimers, which contain three distorted face-sharing octahedra. The three metal sites in the trimers are occupied by disordered Ru/Mn with three different ratios: Ru1:Mn1 = 0.202(8):0.798(8), Ru2:Mn2 = 0.27(1):0.73(1), and Ru3:Mn3 = 0.40(1):0.60(1), successfully lowering the symmetry and inducing the polar crystal structure from the centrosymmetric parent compounds Ba 4 T 3 O 10 (T = Mn, Ru; space group Cmca). The valence state of Ru/Mn is confirmed to be +4 according to X-ray absorption near-edge spectroscopy. Ba 4 RuMn 2 O 10 is a narrow bandgap (~0.6 eV) semiconductor exhibiting spin-glass behavior with strong magnetic frustration and antiferromagnetic interactions.

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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 two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 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 2–15°. 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 six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Li–O bond distances ranging from 2.03–2.36 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent MnO6 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 4–9°. There are two shorter (1.99 Å) and four longer (2.25 Å) Li–O bond lengths. 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 CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are four shorter (2.13 Å) and two longer (2.14 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 CoO6 octahedra, edges with four equivalent 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 1.87–2.02 Å. 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Co–O bond distances ranging from 1.78–2.30 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 distorted OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the second O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the third O2- site, O2- is bonded to three Li1+ and three equivalent Mn3+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–14°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–18°. In the fifth O2- site, O2- is bonded to three equivalent Li1+, one Mn3+, and two equivalent Co4+ atoms to form distorted OLi3MnCo2 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–18°.

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Materials Data on La7SmMn2(FeO4)6 by Materials Project

SmLa7Mn2(FeO4)6 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmm2 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 MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.71–2.81 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 LaO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.74–2.81 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 equivalent LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.75–2.84 Å. In the third 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 MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.74–2.82 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 six LaO12 cuboctahedra, faces with two equivalent MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.76–2.81 Å. In the fifth 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 MnO6 octahedra, and faces with six FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.74–2.84 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six FeO6 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 one shorter (1.92 Å) and five longer (1.93 Å) Mn–O bond length. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are four shorter (2.00 Å) and two longer (2.04 Å) Fe–O bond lengths. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent FeO6 octahedra, a faceface with one SmO12 cuboctahedra, and faces with seven LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.93–2.02 Å. In the third Fe3+ site, 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 0–2°. There are a spread of Fe–O bond distances ranging from 1.90–2.01 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Mn3+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Fe3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Mn3+, and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Mn3+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Mn3+, and one Fe3+ atom.

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Materials Data on SrLa3MnCuO8 by Materials Project

SrLa3MnCuO8 is (La,Ba)CuO4-derived structured and crystallizes in the orthorhombic Amm2 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 2.47–2.78 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.26–2.79 Å. In the second La3+ site, La3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.28–2.80 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.80 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four equivalent CuO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mn–O bond distances ranging from 1.92–2.30 Å. Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with four equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Cu–O bond distances ranging from 1.95–2.47 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the second O2- site, O2- is bonded to one Sr2+, four La3+, and one Mn3+ atom to form distorted OSrLa4Mn octahedra that share corners with seventeen OSrLa3MnCu octahedra, edges with two equivalent OSr2La3Mn octahedra, and faces with four equivalent OSrLa3MnCu octahedra. The corner-sharing octahedra tilt angles range from 0–53°. In the third O2- site, O2- is bonded to two equivalent Sr2+, three La3+, and one Mn3+ atom to form distorted OSr2La3Mn octahedra that share corners with seventeen OSrLa3MnCu octahedra, edges with two equivalent OSrLa4Mn octahedra, and faces with four equivalent OSrLa3MnCu octahedra. The corner-sharing octahedra tilt angles range from 0–52°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, three La3+, and one Cu2+ atom. In the fifth O2- site, O2- is bonded to one Sr2+, three La3+, one Mn3+, and one Cu2+ atom to form distorted OSrLa3MnCu octahedra that share corners with eight OSrLa4Mn octahedra, edges with two equivalent OSrLa3MnCu octahedra, and faces with six OSrLa4Mn octahedra. The corner-sharing octahedra tilt angles range from 2–53°.

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Materials Data on MnN2F5 by Materials Project

(MnF3)2N2(NF2)2 crystallizes in the orthorhombic Pnma space group. The structure is one-dimensional and consists of four ammonia molecules; four difluoroamine molecules; and two MnF3 ribbons oriented in the (0, 1, 0) direction. In each MnF3 ribbon, Mn3+ is bonded in a distorted square co-planar geometry to four F1- atoms. There is two shorter (1.80 Å) and two longer (1.93 Å) Mn–F bond length. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Mn3+ atom. In the second F1- site, F1- is bonded in a bent 150 degrees geometry to two equivalent Mn3+ atoms.

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Materials Data on Li3MnP2(O3F2)2 by Materials Project

Li3MnP2(O3F2)2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to three O2- and three F1- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.31 Å. There are a spread of Li–F bond distances ranging from 1.91–2.51 Å. In the second Li1+ site, Li1+ is bonded to four O2- and two equivalent F1- atoms to form LiO4F2 octahedra that share corners with four equivalent PO3F tetrahedra and edges with two equivalent MnO4F2 octahedra. There are two shorter (2.04 Å) and two longer (2.32 Å) Li–O bond lengths. Both Li–F bond lengths are 2.12 Å. Mn3+ is bonded to four O2- and two equivalent F1- atoms to form MnO4F2 octahedra that share corners with four equivalent PO3F tetrahedra and edges with two equivalent LiO4F2 octahedra. There are two shorter (1.95 Å) and two longer (2.22 Å) Mn–O bond lengths. Both Mn–F bond lengths are 1.90 Å. P5+ is bonded to three O2- and one F1- atom to form PO3F tetrahedra that share corners with two equivalent LiO4F2 octahedra and corners with two equivalent MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of P–O bond distances ranging from 1.50–1.55 Å. The P–F bond length is 1.61 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Li1+ and one Mn3+ atom. In the second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom.

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Materials Data on MnH8SN2O4F3 by Materials Project

MnSO4F3(NH4)2 crystallizes in the monoclinic P2_1/c space group. The structure is one-dimensional and consists of eight ammonium molecules and two MnSO4F3 ribbons oriented in the (1, 0, 0) direction. In each MnSO4F3 ribbon, there are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to two equivalent O2- and four F1- atoms to form MnO2F4 octahedra that share corners with two equivalent MnO2F4 octahedra and corners with two equivalent SO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. Both Mn–O bond lengths are 2.02 Å. There are two shorter (1.84 Å) and two longer (2.20 Å) Mn–F bond lengths. In the second Mn3+ site, Mn3+ is bonded to two equivalent O2- and four F1- atoms to form MnO2F4 octahedra that share corners with two equivalent MnO2F4 octahedra and corners with two equivalent SO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. Both Mn–O bond lengths are 2.19 Å. There is two shorter (1.84 Å) and two longer (2.00 Å) Mn–F bond length. S2- is bonded to four O2- atoms to form SO4 tetrahedra that share corners with two MnO2F4 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of S–O bond distances ranging from 1.47–1.53 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S2- atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S2- atom. In the third O2- site, O2- is bonded in a single-bond geometry to one S2- atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one S2- atom. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Mn3+ atom. In the second F1- site, F1- is bonded in a single-bond geometry to one Mn3+ atom. In the third F1- site, F1- is bonded in a bent 120 degrees geometry to two Mn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn5(CoO6)2 by Materials Project

Li3Mn5(CoO6)2 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five 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 CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CoO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Li–O bond distances ranging from 2.04–2.36 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 CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CoO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.04–2.35 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one LiO6 octahedra, edges with two CoO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–14°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. There are nine 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 LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Mn–O bond distances ranging from 1.94–2.16 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Mn–O bond distances ranging from 1.92–2.14 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Mn–O bond distances ranging from 1.94–2.13 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Mn–O bond distances ranging from 1.97–2.20 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Mn–O bond distances ranging from 1.93–2.01 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Mn–O bond distances ranging from 1.97–2.23 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Mn–O bond distances ranging from 1.94–2.33 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Mn–O bond distances ranging from 1.94–2.33 Å. There are four inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Co–O bond distances ranging from 1.88–2.27 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with five LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Co–O bond distances ranging from 1.89–2.24 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Co–O bond distances ranging from 2.05–2.24 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, corners with two MnO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Co–O bond distances ranging from 2.03–2.28 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form OLiMn3Co square pyramids that share corners with nine OLi2Mn2Co square pyramids and edges with eight OLiMn3Co square pyramids. In the second O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form OLiMn3Co square pyramids that share corners with nine OLi2Mn2Co square pyramids and edges with eight OLiMn3Co square pyramids. In the third O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form OLi2Mn2Co square pyramids that share corners with nine OLi2Mn2Co square pyramids and edges with eight OLiMn3Co square pyramids. In the fourth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLiMn3Co square pyramids. In the fifth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLiMn3Co square pyramids. In the sixth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLiMn3Co square pyramids. In the seventh O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLi2Mn2Co square pyramids. In the eighth O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLi2Mn2Co square pyramids. In the ninth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLiMn3Co square pyramids. In the tenth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form OLiMn3Co square pyramids that share corners with nine OLi2Mn2Co square pyramids and edges with eight OLiMn3Co square pyramids. In the eleventh O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLi2Mn2Co square pyramids. In the twelfth O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form OLi2Mn2Co square pyramids that share corners with nine OLiMn3Co square pyramids and edges with eight OLi2Mn2Co square pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form OLi2Mn2Co square pyramids that share corners with nine OLiMn3Co square pyramids and edges with eight OLi2Mn2Co square pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLiMn3Co square pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form OLi2Mn2Co square pyramids that share corners with nine OLiMn3Co square pyramids and edges with eight OLi2Mn2Co square pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLi2Mn2Co square pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, three Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLiMn3Co square pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+, two Mn3+, and one Co3+ atom to form a mixture of corner and edge-sharing OLi2Mn2Co square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is Caswellsilverite-derived structured and 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 six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three MnO6 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 6–13°. There are a spread of Li–O bond distances ranging from 2.06–2.42 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three 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 4–7°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the third 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 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 4–11°. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of Li–O bond distances ranging from 2.01–2.51 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 9–12°. There are a spread of Li–O bond distances ranging from 1.99–2.30 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 MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Mn–O bond distances ranging from 1.83–2.04 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 two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Mn–O bond distances ranging from 1.94–2.24 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 two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.92–2.23 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 two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.74–2.25 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the second 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 1–3°. In the third O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the fifth O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–16°. In the sixth 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 0–9°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form a mixture of distorted corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°.

36 MATERIALS SCIENCE↗

Materials Data on RbMg30MnO32 by Materials Project

RbMg30MnO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Rb1+ is bonded to six O2- atoms to form RbO6 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 (2.41 Å) and two longer (2.42 Å) Rb–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 a spread of Mg–O bond distances ranging from 2.08–2.17 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent RbO6 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 1.91–2.21 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.16 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 RbO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.10–2.24 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 2.14–2.17 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 0–2°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 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 RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.13–2.20 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent RbO6 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 (1.86 Å) and four longer (2.18 Å) Mn–O bond lengths. There are nine inequivalent O2- sites. In the first 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 0–4°. In the second O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third 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 0–1°. In the fourth 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 0–6°. In the fifth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.15 Å) and two longer (2.20 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 equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventh O2- site, O2- is bonded to one Rb1+, four equivalent Mg2+, and one Mn3+ atom to form distorted ORbMg4Mn octahedra that share corners with six ORbMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ORbMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth 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 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on KMg30MnO32 by Materials Project

KMg30MnO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. K1+ is bonded to six O2- atoms to form KO6 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 (2.35 Å) and two longer (2.38 Å) K–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 a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent KO6 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 1.95–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.15 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.15 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 KO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mg–O bond distances ranging from 2.10–2.22 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 2.13–2.16 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 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 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 KO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are four shorter (2.14 Å) and two longer (2.17 Å) Mg–O bond lengths. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent KO6 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 (1.89 Å) and four longer (2.16 Å) Mn–O bond lengths. There are nine inequivalent O2- sites. In the first 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 0–3°. In the second O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third 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 0–1°. In the fourth 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 0–5°. In the fifth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form OKMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.13 Å) and two longer (2.17 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 equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to one K1+, four equivalent Mg2+, and one Mn3+ atom to form OKMg4Mn octahedra that share corners with six OKMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OKMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the ninth 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 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on MnSN2O4F3 by Materials Project

(MnS(OF)3)2N2(NO)2 crystallizes in the monoclinic P2_1/c space group. The structure is one-dimensional and consists of four ammonia molecules; four nitroxyl molecules; and two MnS(OF)3 ribbons oriented in the (1, 0, 0) direction. In each MnS(OF)3 ribbon, there are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to two equivalent O2- and four F1- atoms to form corner-sharing MnO2F4 octahedra. The corner-sharing octahedral tilt angles are 42°. Both Mn–O bond lengths are 2.30 Å. There is two shorter (1.82 Å) and two longer (1.96 Å) Mn–F bond length. In the second Mn3+ site, Mn3+ is bonded to two equivalent O2- and four F1- atoms to form distorted corner-sharing MnO2F4 octahedra. The corner-sharing octahedral tilt angles are 42°. Both Mn–O bond lengths are 2.32 Å. There is two shorter (1.83 Å) and two longer (1.94 Å) Mn–F bond length. S2- is bonded in a distorted trigonal planar geometry to three O2- atoms. There is one shorter (1.44 Å) and two longer (1.46 Å) S–O bond length. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S2- atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S2- atom. In the third O2- site, O2- is bonded in a single-bond geometry to one S2- atom. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a single-bond geometry to one Mn3+ atom. In the second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Mn3+ atoms. In the third F1- site, F1- is bonded in a single-bond geometry to one Mn3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaTiMn2(SiO5)2 by Materials Project

BaTiMn2(SiO5)2 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.84 Å) and three longer (2.88 Å) Ba–O bond lengths. Ti4+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with four equivalent SiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.73–1.95 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 four equivalent SiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.29 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent SiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.12–2.29 Å. Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three MnO6 octahedra, corners with two equivalent TiO5 square pyramids, and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn3+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Ba2+ and one Ti4+ atom. In the fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn3+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two equivalent Si4+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti4+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+, one Ti4+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

A Polar Magnetic and Insulating Double Corundum Oxide: Mn2MnSbO6 with Ordered Mn(II) and Mn(III) Ions

A new magnetic insulator Mn2MnSbO6 with a polar crystal structure and an ordered Mn2+ and Mn3+ arrangement was synthesized under a high pressure of 7.5 GPa and 1300 degrees C. The crystal structure of Mn2MnSbO6, investigated by synchrotron powder X-ray diffraction, was found to be isomorphous with that of Ni3TeO6-type, space group R3. The non-centrosymmetric structure was confirmed by the second-harmonic generation measurements. The X-ray absorption near-edge spectroscopy measurement confirmed the nominal oxidation states of Mn22+Mn3+SbO6. Magnetic measurements indicate that Mn2MnSbO6 orders antiferromagnetically below 44 K and undergoes a field-induced spin-flop transition at 5 K. First-principles calculations indicate an antiferromagnetic ground state with up/up/up/down/down/down (uuuddd) spin configuration of the six crystallographically unique Mn ions in the c-axis doubled magnetic structure. The density functional theory calculations also substantiate the experimentally observed charge ordering of the Mn2+/Mn3+ ions and the insulating behavior due to a bandgap of 0.52 eV. To the best of our knowledge, this is the first double corundum oxide containing Jahn-Teller active Mn3+ ions.

Feng, Hai L.↗

Materials Data on Li3Mn(BO3)2 by Materials Project

Li3Mn(BO3)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 to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO5 trigonal bipyramids, corners with three equivalent MnO5 trigonal bipyramids, and edges with two LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.02–2.17 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.45 Å. Mn3+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three equivalent LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with three LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.07 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 is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn3+, and one B3+ atom to form distorted OLi2MnB tetrahedra that share corners with two equivalent OLi4B trigonal bipyramids and corners with six OLi2MnB trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn3+, and one B3+ atom. In the third O2- site, O2- is bonded to four Li1+ and one B3+ atom to form distorted OLi4B trigonal bipyramids that share corners with two equivalent OLi2MnB tetrahedra, corners with four OLi2MnB trigonal pyramids, an edgeedge with one OLi4B trigonal bipyramid, and an edgeedge with one OLi2MnB trigonal pyramid. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn3+, and one B3+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Mn3+, and one B3+ atom to form distorted OLi2MnB trigonal pyramids that share corners with three equivalent OLi2MnB tetrahedra, corners with three equivalent OLi4B trigonal bipyramids, and an edgeedge with one OLi2MnB trigonal pyramid. In the sixth O2- site, O2- is bonded to two Li1+, one Mn3+, and one B3+ atom to form distorted OLi2MnB trigonal pyramids that share corners with three equivalent OLi2MnB tetrahedra, a cornercorner with one OLi4B trigonal bipyramid, an edgeedge with one OLi4B trigonal bipyramid, and an edgeedge with one OLi2MnB trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn3(SiO6)2 by Materials Project

Li7Mn3(SiO6)2 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three 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 SiO6 octahedra, corners with three MnO6 octahedra, edges with two equivalent SiO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent SiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are four shorter (2.08 Å) and two longer (2.19 Å) Li–O bond lengths. In the third 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 SiO6 octahedra, corners with three MnO6 octahedra, edges with two equivalent SiO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Li–O bond distances ranging from 2.00–2.38 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 6–7°. There are four shorter (1.94 Å) and two longer (2.25 Å) Mn–O bond lengths. 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 MnO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.94–2.23 Å. Si4+ is bonded to six O2- atoms to form SiO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent SiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–14°. There is four shorter (1.84 Å) and two longer (1.89 Å) Si–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn3+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Si4+ atoms to form a mixture of distorted edge and corner-sharing OLi4Si2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the third O2- site, O2- is bonded to three Li1+ and three Mn3+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Si4+ atoms to form a mixture of edge and corner-sharing OLi4Si2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°.

36 MATERIALS SCIENCE↗