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Materials Data on NaMg14MnO16 by Materials Project

NaMg14MnO16 is alpha Po-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 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 Na–O bond distances ranging from 2.15–2.32 Å. There are seven 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 2.09–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent NaO6 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 2.03–2.16 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent NaO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent NaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one NaO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.09–2.18 Å. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NaO6 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 Mn–O bond distances ranging from 1.93–2.15 Å. There are ten 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 octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to one Na1+ and five Mg2+ atoms to form ONaMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.09 Å) and two longer (2.16 Å) O–Mg bond lengths. 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 1–3°. In the fifth O2- site, O2- is bonded to four Mg2+ and two equivalent Mn3+ atoms to form OMg4Mn2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to two equivalent Na1+ and four Mg2+ atoms to form ONa2Mg4 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONa2Mg4 octahedra and edges with twelve ONaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to one Na1+, four Mg2+, and one Mn3+ atom to form ONaMg4Mn octahedra that share corners with six ONaMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six ONaMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn2P2(H4O5)3 by Materials Project

Li2Mn2P2(H4O5)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.69 Å. Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.44 Å. P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are six inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.00 Å) and one longer (1.72 Å) H–O bond length. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent H1+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two H1+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two H1+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one P5+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a water-like geometry to one Mn3+ 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 2-coordinate geometry to two equivalent Mn3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+, two equivalent Mn3+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Exchange-biased quantum tunnelling of magnetization in a [Mn 3 ] 2 dimer of single-molecule magnets with rare ferromagnetic inter-Mn 3 coupling

A covalently-linked dimer of two single-molecule magnets (SMMs), [Mn 6 O(O 2 CMe) 6 (1,3-ppmd) 3 ](ClO 4 ) 2 , has been synthesized from the reaction of [Mn 3 O(O 2 CMe) 6 (py) 3 ](ClO 4 ) with 1,3-phenylene-bis(pyridin-2-ylmethanone) dioxime (1,3-ppmdH 2 ). It contains two [Mn III 3 O] +7 triangular units linked by three 1,3-ppmd 2 - groups into an [Mn 3 ] 2 dimer with D 3 symmetry. Solid-state dc and ac magnetic susceptibility measurements showed that each Mn 3 subunit retains its properties as an SMM with an S = 6 ground state. Magnetization vs. dc field sweeps on a single crystal reveal hysteresis loops below 1.3 K exhibiting exchange-biased quantum tunnelling of magnetization (QTM) steps with a bias field of +0.06 T. This is the first example of a dimer of SMMs showing a positive exchange bias of the QTM steps in the hysteresis loops, and it has therefore been subjected to a detailed analysis. Simulation of the loops determines that each Mn3 unit is exchange-coupled with its neighbour primarily through the 1,3-ppmd 2 - linkers, confirming a weak ferromagnetic inter-Mn 3 interaction of J 12 ≈ +6.5 mK ($\hat{H}= -2J\hat{S}_i·\hat{S}_j$ convention). High-frequency EPR studies of a microcrystalline powder sample enable accurate determination of the zero-field splitting parameters of the uncoupled Mn3 SMMs, while also confirming the weak exchange interaction between the two SMMs within each [Mn 3 ] 2 dimer. The combined results emphasize the ability of designed covalent linkers to generate inter-SMM coupling of a particular sign and relative magnitude, and thus the ability of such linkers to modulate the quantum physics. As such, this article supports the feasibility of using designed covalent linkers to develop molecular oligomers of SMMs, or other magnetic molecules, as multi-qubit systems and/or other components of new quantum technologies.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

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 CoO6 octahedra, corners with five 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 7–15°. There are a spread of Li–O bond distances ranging from 1.97–2.31 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, a cornercorner with one CoO6 octahedra, corners with four equivalent 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 2–14°. There are a spread of Li–O bond distances ranging from 2.04–2.25 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 five CoO6 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 3–13°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five MnO6 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 6–11°. There are a spread of Li–O bond distances ranging from 1.94–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 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 4–20°. There are a spread of Li–O bond distances ranging from 2.08–2.35 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 2–14°. There are a spread of Li–O bond distances ranging from 2.06–2.20 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 4–15°. There are a spread of Mn–O bond distances ranging from 1.81–2.06 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 2–11°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 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 two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Co–O bond distances ranging from 1.77–2.30 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 two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 1.91–2.14 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 1–12°. In the second O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 5–8°. In the third O2- site, O2- is bonded to three Li1+, one Mn3+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth 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 OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. In the fifth 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 OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–19°. In the sixth 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 2–12°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 6–12°. 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 OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth 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 1–8°. In the tenth 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 OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–19°.

36 MATERIALS SCIENCE↗

Materials Data on MnFe(PO4)2 by Materials Project

MnFe(PO4)2 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are three inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.91 Å) and three longer (2.01 Å) Mn–O bond length. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are three shorter (1.94 Å) and three longer (2.10 Å) Mn–O bond lengths. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.94 Å) and three longer (2.04 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 distorted FeO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one MnO6 octahedra, and a faceface with one FeO6 octahedra. All Fe–O bond lengths are 2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are three shorter (1.93 Å) and three longer (2.13 Å) Fe–O bond lengths. In the third Fe3+ site, Fe3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.18 Å) and three longer (2.19 Å) Fe–O bond lengths. 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 two FeO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–52°. 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 two FeO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Mn3+, one Fe3+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn3+, one Fe3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn3+, one Fe3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn(SO4)2 by Materials Project

LiMn(SO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six SO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.41 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 1.95–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO6 octahedra, corners with four SO4 tetrahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 67–70°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. There are three inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.44 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.15 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.19 Å. There are six inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–49°. There is two shorter (1.46 Å) and two longer (1.51 Å) S–O bond length. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–50°. There are a spread of S–O bond distances ranging from 1.44–1.53 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of S–O bond distances ranging from 1.46–1.52 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–44°. There are a spread of S–O bond distances ranging from 1.47–1.50 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 35–44°. There are a spread of S–O bond distances ranging from 1.44–1.52 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of S–O bond distances ranging from 1.47–1.52 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn(SO4)2 by Materials Project

LiMn(SO4)2 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.45 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.40 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.62 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four MnO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Li–O bond distances ranging from 2.02–2.31 Å. There are four inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.19 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.15 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. There are eight inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of S–O bond distances ranging from 1.46–1.53 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of S–O bond distances ranging from 1.44–1.53 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are a spread of S–O bond distances ranging from 1.45–1.52 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of S–O bond distances ranging from 1.43–1.54 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of S–O bond distances ranging from 1.44–1.53 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of S–O bond distances ranging from 1.45–1.52 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of S–O bond distances ranging from 1.45–1.53 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three MnO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of S–O bond distances ranging from 1.45–1.53 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one S6+ atom.

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 a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.02–2.29 Å. In the second 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 MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.48 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, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share 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 5–9°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fifth 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 3–11°. There are a spread of Li–O bond distances ranging from 2.02–2.34 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, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Li–O bond distances ranging from 2.09–2.16 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 4–11°. There are a spread of Mn–O bond distances ranging from 1.82–2.10 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 two equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are two inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.77–2.39 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 two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 2.02–2.12 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 OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form OLi5Mn octahedra that share corners with five OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form OLi4Co2 octahedra that share corners with four OLi5Co octahedra and edges with nine OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with four OLi5Co octahedra and edges with nine OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth 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 2–6°. In the sixth 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 ten OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, one Mn3+, and two equivalent Co4+ atoms. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3MnCo2 octahedra and edges with ten OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth 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 1–4°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–14°.

36 MATERIALS SCIENCE↗

Materials Data on Na3Mn2BO6 by Materials Project

Na3Mn2BO6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with four equivalent MnO5 square pyramids, edges with two equivalent NaO6 octahedra, edges with four equivalent NaO5 square pyramids, and edges with six equivalent MnO5 square pyramids. There are a spread of Na–O bond distances ranging from 2.37–2.44 Å. In the second Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with five equivalent MnO5 square pyramids, edges with two equivalent NaO6 octahedra, an edgeedge with one MnO5 square pyramid, and edges with two equivalent NaO5 square pyramids. There are a spread of Na–O bond distances ranging from 2.30–2.52 Å. Mn3+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with two equivalent NaO6 octahedra, corners with five equivalent NaO5 square pyramids, edges with three equivalent NaO6 octahedra, an edgeedge with one NaO5 square pyramid, and edges with four equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Mn–O bond distances ranging from 1.95–2.45 Å. B3+ is bonded in a linear geometry to two equivalent O2- atoms. Both B–O bond lengths are 1.27 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and two equivalent Mn3+ atoms to form ONa3Mn2 square pyramids that share corners with two equivalent ONa3Mn3 octahedra, a cornercorner with one ONa3Mn2 square pyramid, edges with five equivalent ONa3Mn3 octahedra, and edges with two equivalent ONa3Mn2 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the second O2- site, O2- is bonded to three Na1+ and three equivalent Mn3+ atoms to form distorted ONa3Mn3 octahedra that share corners with two equivalent ONa3Mn3 octahedra, corners with two equivalent ONa3Mn2 square pyramids, edges with five equivalent ONa3Mn3 octahedra, and edges with five equivalent ONa3Mn2 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Na1+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn3F10 by Materials Project

LiMn3F10 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Li1+ is bonded in a trigonal non-coplanar geometry to three F1- atoms. There is one shorter (1.84 Å) and two longer (1.88 Å) Li–F bond length. There are three inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six F1- atoms to form a mixture of corner and edge-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 2–53°. There are a spread of Mn–F bond distances ranging from 1.84–2.30 Å. In the second Mn3+ site, Mn3+ is bonded to six F1- atoms to form corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 0–43°. There are a spread of Mn–F bond distances ranging from 1.83–2.08 Å. In the third Mn3+ site, Mn3+ is bonded to six F1- atoms to form a mixture of corner and edge-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of Mn–F bond distances ranging from 1.87–2.22 Å. There are eleven inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Mn3+ atoms. In the second F1- site, F1- is bonded in a bent 150 degrees geometry to one Li1+ and one Mn3+ atom. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Mn3+ atoms. In the fourth F1- site, F1- is bonded in a linear geometry to two Mn3+ atoms. In the fifth F1- site, F1- is bonded in a water-like geometry to two equivalent Mn3+ atoms. In the sixth F1- site, F1- is bonded in a bent 150 degrees geometry to one Li1+ and one Mn3+ atom. In the seventh F1- site, F1- is bonded in a bent 150 degrees geometry to one Li1+ and one Mn3+ atom. In the eighth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Mn3+ atoms. In the ninth F1- site, F1- is bonded in a water-like geometry to two equivalent Mn3+ atoms. In the tenth F1- site, F1- is bonded in a linear geometry to two equivalent Mn3+ atoms. In the eleventh F1- site, F1- is bonded in a linear geometry to two equivalent Mn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrLaTiMnO6 by Materials Project

SrLaTiMnO6 crystallizes in the trigonal R3 space group. The structure is three-dimensional. Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.56–3.05 Å. La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.46–2.81 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent MnO6 octahedra and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–20°. There is three shorter (1.95 Å) and three longer (1.99 Å) Ti–O bond length. Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent TiO6 octahedra and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–20°. All Mn–O bond lengths are 2.03 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, two equivalent La3+, one Ti4+, and one Mn3+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+, one La3+, one Ti4+, and one Mn3+ atom.

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 MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.06–2.21 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 MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.06–2.26 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 MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the fourth 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 MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.04–2.26 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 MnO6 octahedra, corners with two CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.08–2.12 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 three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 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 two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 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 three 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 1.85–2.14 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 two MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Co–O bond distances ranging from 1.92–2.10 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn3+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the second O2- site, O2- is bonded to four Li1+ and two Mn3+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to three Li1+, two Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the fourth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the sixth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn3+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the eighth O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the ninth O2- site, O2- is bonded to three Li1+, two Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mn3+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°.

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 CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.06–2.30 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 CoO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.04–2.25 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, a cornercorner with one CoO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the fourth 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 two MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.09–2.24 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 three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.07–2.14 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, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the second Mn3+ site, 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 four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mn–O bond distances ranging from 1.91–2.01 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, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Co–O bond distances ranging from 1.89–2.14 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Co–O bond distances ranging from 1.96–2.10 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the second O2- site, O2- is bonded to three Li1+, one Mn3+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the third O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the fourth O2- site, O2- is bonded to three Li1+, two Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, two Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the seventh O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the eighth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn3+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to four Li1+, one Mn3+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on KMg14MnO16 by Materials Project

KMg14MnO16 is Caswellsilverite-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 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 (2.21 Å) and four longer (2.38 Å) K–O bond lengths. There are four 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 KO6 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 1.92–2.28 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent KO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Mg–O bond distances ranging from 2.15–2.23 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent 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 2.14–2.21 Å. Mn3+ is bonded to six O2- atoms to form MnO6 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 (2.02 Å) and two longer (2.21 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 0–11°. In the second O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. Both O–Mg bond lengths are 2.23 Å. In the third O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are two shorter (2.14 Å) and two longer (2.23 Å) O–Mg bond lengths. 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 1–2°. In the fifth O2- site, O2- is bonded to four equivalent Mg2+ and two equivalent Mn3+ atoms to form OMg4Mn2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to two equivalent K1+ and four equivalent Mg2+ atoms to form OK2Mg4 octahedra that share corners with six OMg6 octahedra and edges with twelve OKMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. The O–Mg bond length is 1.92 Å. In the ninth O2- site, O2- is bonded to one K1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing OKMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of O–Mg bond distances ranging from 1.92–2.23 Å.

36 MATERIALS SCIENCE↗

Materials Data on MnFe(PO4)2 by Materials Project

MnFe(PO4)2 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. Mn3+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with four equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Mn–O bond distances ranging from 1.90–2.36 Å. Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 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 corners with two equivalent FeO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–44°. There is two shorter (1.52 Å) and two longer (1.58 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Mn3+, one Fe3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn3+, one Fe3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3La8Ti9Mn3O36 by Materials Project

Na3La8Ti9Mn3O36 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.91 Å. In the second Na1+ site, Na1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–3.08 Å. In the third Na1+ site, Na1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.98 Å. There are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.83 Å. In the second La3+ site, La3+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.86 Å. In the third La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.83 Å. In the fourth La3+ site, La3+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.95 Å. In the fifth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.90 Å. In the sixth La3+ site, La3+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.98 Å. In the seventh La3+ site, La3+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.96 Å. In the eighth La3+ site, La3+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.96 Å. There are nine inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–24°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–22°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–21°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–22°. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–27°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–21°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Ti–O bond distances ranging from 1.88–2.04 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–22°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–28°. There are a spread of Ti–O bond distances ranging from 1.87–2.08 Å. There are three inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–27°. There are a spread of Mn–O bond distances ranging from 1.93–2.18 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–23°. There are a spread of Mn–O bond distances ranging from 1.93–2.17 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 18–28°. There are a spread of Mn–O bond distances ranging from 1.94–2.17 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Na1+, two La3+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one La3+, and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, two equivalent La3+, and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, one La3+, and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, one La3+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two La3+, and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one La3+, and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, two equivalent La3+, and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, two equivalent La3+, and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, one La3+, and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Na1+, two La3+, and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two equivalent La3+, and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two La3+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two La3+, one Ti4+, and one Mn3+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to three La3+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two equivalent La3+, one Ti4+, and one Mn3+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+, two La3+, one Ti4+, and one Mn3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two La3+, one Ti4+, and one Mn3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Na1+, two La3+, one Ti4+, and one Mn3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two La3+, one Ti4+, and one Mn3+ atom. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two La3+, one Ti4+, and one Mn3+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two equivalent La3+, one Ti4+, and one Mn3+ atom. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to one Na1+, two equivalent La3+, one Ti4+, and one Mn3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Ti4+, and one Mn3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on La4SmMn5O15 by Materials Project

SmLa4Mn5O15 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with two equivalent SmO12 cuboctahedra, corners with ten LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.73–2.78 Å. There are two inequivalent La3+ sites. In the first 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 two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are seven shorter (2.78 Å) and five longer (2.80 Å) La–O bond lengths. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share a cornercorner with one SmO12 cuboctahedra, corners with eleven LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.83 Å. There are three inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with eight LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is one shorter (1.96 Å) and five longer (1.97 Å) Mn–O bond length. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.97–1.99 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with four equivalent SmO12 cuboctahedra, and faces with four equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is four shorter (1.95 Å) and two longer (1.97 Å) Mn–O bond length. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+ and two equivalent Mn3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Mn3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two Mn3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent La3+ and two equivalent Mn3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two Mn3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two Mn3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Mn3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Mn3+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent Mn3+ atoms.

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 equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent MnO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are two shorter (2.15 Å) and four longer (2.18 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 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 2.09–2.22 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 three equivalent CoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. In the fourth Li1+ site, Li1+ is bonded to six equivalent O2- atoms to form a mixture of edge and corner-sharing LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are four shorter (2.09 Å) and two longer (2.21 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 six LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Mn–O bond distances ranging from 1.96–2.25 Å. 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 2–10°. There are a spread of Co–O bond distances ranging from 1.98–2.14 Å. There are five 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 0–1°. In the second 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 1–5°. 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 2–8°. In the fourth 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 0–8°. In the fifth O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°.

36 MATERIALS SCIENCE↗