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Materials Data on CsCr(MoO4)2 by Materials Project

CsCr(MoO4)2 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Cs1+ is bonded to twelve O2- atoms to form CsO12 cuboctahedra that share edges with six equivalent CsO12 cuboctahedra, edges with six equivalent MoO4 tetrahedra, and faces with two equivalent CrO6 octahedra. There are six shorter (3.31 Å) and six longer (3.38 Å) Cs–O bond lengths. Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with three equivalent CrO6 octahedra and edges with three equivalent CsO12 cuboctahedra. The corner-sharing octahedral tilt angles are 19°. There is one shorter (1.76 Å) and three longer (1.81 Å) Mo–O bond length. Cr3+ is bonded to six equivalent O2- atoms to form CrO6 octahedra that share corners with six equivalent MoO4 tetrahedra and faces with two equivalent CsO12 cuboctahedra. All Cr–O bond lengths are 2.00 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cs1+, one Mo6+, and one Cr3+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to three equivalent Cs1+ and one Mo6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on TlCr(MoO4)2 by Materials Project

CrTl(MoO4)2 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with three equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 14–34°. There are a spread of Mo–O bond distances ranging from 1.76–1.82 Å. In the second Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with three equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 32–34°. There is one shorter (1.74 Å) and three longer (1.82 Å) Mo–O bond length. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six MoO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.02 Å. Tl1+ is bonded in a 1-coordinate geometry to eleven O2- atoms. There are a spread of Tl–O bond distances ranging from 2.72–3.43 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mo6+, one Cr3+, and one Tl1+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+, one Cr3+, and two equivalent Tl1+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+, one Cr3+, and two equivalent Tl1+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Mo6+ and one Tl1+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one Mo6+ and one Cr3+ atom. In the sixth O2- site, O2- is bonded in a single-bond geometry to one Mo6+ and two equivalent Tl1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaCr(WO4)2 by Materials Project

NaCr(WO4)2 is zeta iron carbide-derived structured and crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with eight equivalent WO6 octahedra and edges with two equivalent NaO6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of Na–O bond distances ranging from 2.38–2.42 Å. W6+ is bonded to six O2- atoms to form distorted WO6 octahedra that share corners with four equivalent NaO6 octahedra, corners with four equivalent CrO6 octahedra, and edges with two equivalent WO6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of W–O bond distances ranging from 1.77–2.25 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with eight equivalent WO6 octahedra and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent W6+ and one Cr3+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Na1+ and two equivalent W6+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one W6+ and two equivalent Cr3+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+ and one W6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Cr(P2O7)2 by Materials Project

Li5Cr(P2O7)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share corners with five PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.38 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.56 Å. In the third Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.72 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.55 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.32 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Cr–O bond distances ranging from 1.99–2.12 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CrO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CrO6 octahedra, corners with two equivalent LiO5 square pyramids, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–43°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Cr3+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2CrP tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two P5+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form OLi3P trigonal pyramids that share a cornercorner with one OLi2CrP tetrahedra, an edgeedge with one OLi2CrP tetrahedra, and an edgeedge with one OLi3P trigonal pyramid. In the fourteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted edge-sharing OLi3P trigonal pyramids.

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Materials Data on TlV3(CrS4)2 by Materials Project

V3Tl(CrS4)2 is Orthorhombic Perovskite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six S2- atoms to form VS6 octahedra that share corners with three equivalent TlS10 cuboctahedra, corners with four equivalent CrS6 octahedra, an edgeedge with one TlS10 cuboctahedra, edges with six VS6 octahedra, and a faceface with one CrS6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of V–S bond distances ranging from 2.28–2.55 Å. In the second V3+ site, V3+ is bonded to six S2- atoms to form VS6 octahedra that share corners with four equivalent CrS6 octahedra, edges with four equivalent TlS10 cuboctahedra, and edges with six VS6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are four shorter (2.40 Å) and two longer (2.41 Å) V–S bond lengths. Cr3+ is bonded to six S2- atoms to form CrS6 octahedra that share corners with four equivalent TlS10 cuboctahedra, corners with six VS6 octahedra, edges with four equivalent CrS6 octahedra, a faceface with one TlS10 cuboctahedra, and a faceface with one VS6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Cr–S bond distances ranging from 2.35–2.48 Å. Tl1+ is bonded to ten S2- atoms to form distorted TlS10 cuboctahedra that share corners with six equivalent VS6 octahedra, corners with eight equivalent CrS6 octahedra, edges with six VS6 octahedra, faces with two equivalent TlS10 cuboctahedra, and faces with two equivalent CrS6 octahedra. The corner-sharing octahedra tilt angles range from 13–49°. There are a spread of Tl–S bond distances ranging from 3.31–3.40 Å. There are four inequivalent S2- sites. In the first S2- site, S2- is bonded in a 4-coordinate geometry to three V3+, one Cr3+, and one Tl1+ atom. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three equivalent Cr3+ and two equivalent Tl1+ atoms. In the third S2- site, S2- is bonded in a 5-coordinate geometry to three equivalent V3+ and two equivalent Cr3+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three V3+ and two equivalent Tl1+ atoms.

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Materials Data on Li3Cr(PO4)2 by Materials Project

Li3Cr(PO4)2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Li–O bond distances ranging from 2.01–2.26 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.29 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 2.01–2.07 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent CrO6 octahedra and corners with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent CrO6 octahedra and corners with three equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–51°. 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 distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4CrFe3Cu2(PO4)6 by Materials Project

Li4CrFe3Cu2(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.10–2.37 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 2.13–2.52 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 2.10–2.56 Å. In the fourth 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 2.13–2.55 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.06 Å. 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 PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.12 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 2.12–2.46 Å. In the second Cu1+ site, Cu1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 2.13–2.44 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 30–43°. All P–O bond lengths are 1.55 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 30–43°. All P–O bond lengths are 1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 31–43°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–44°. There is two shorter (1.52 Å) and two longer (1.58 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 20–44°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 20–43°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Cu1+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Cu1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Cu1+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Fe3+, one Cu1+, and one P5+ atom to form distorted face-sharing OLi2FeCuP trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe3+, one Cu1+, and one P5+ atom to form distorted face-sharing OLi2FeCuP trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Cu1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Cu1+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cr(PO4)2 by Materials Project

Li3Cr(PO4)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–1.91 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.72 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one CrO5 trigonal bipyramid, and an edgeedge with one CrO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two equivalent LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 77°. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one CrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Li–O bond distances ranging from 1.88–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with four PO4 tetrahedra, and a cornercorner with one CrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.93–2.12 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form distorted CrO6 octahedra that share corners with two PO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one CrO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.24 Å. In the second Cr3+ site, Cr3+ is bonded to five O2- atoms to form distorted CrO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with two LiO4 tetrahedra, corners with three PO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Cr–O bond distances ranging from 1.95–2.10 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one CrO5 trigonal bipyramid, and an edgeedge with one CrO6 octahedra. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with four LiO4 tetrahedra, and an edgeedge with one CrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 45°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one CrO5 trigonal bipyramid, and an edgeedge with one CrO6 octahedra. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with four LiO4 tetrahedra, and a cornercorner with one CrO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There is two shorter (1.53 Å) and two longer (1.59 Å) P–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the second O2- site, O2- is bonded in a water-like geometry to one Cr3+ and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Cr3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Cr3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on RbMg30CrO32 by Materials Project

RbMg30CrO32 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 CrO6 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 (2.40 Å) and four longer (2.41 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 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 1.90–2.23 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CrO6 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 2.08–2.20 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 four shorter (2.11 Å) and two longer (2.18 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 two shorter (2.13 Å) and four 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 CrO6 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 2.11–2.21 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 0–4°. There are two shorter (2.15 Å) and four longer (2.16 Å) Mg–O bond lengths. 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 RbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 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 CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are four shorter (2.15 Å) and two longer (2.16 Å) Mg–O bond lengths. Cr3+ is bonded to six O2- atoms to form CrO6 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 (1.91 Å) and four longer (2.11 Å) Cr–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form ORbMg5 octahedra that share corners with six OMg5Cr octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form OMg5Cr octahedra that share corners with six ORbMg5 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 0–6°. 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 0–2°. Both O–Mg bond lengths are 2.16 Å. In the fifth O2- site, O2- is bonded to one Rb1+ and five Mg2+ atoms to form a mixture of edge and corner-sharing ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 1.90–2.19 Å. In the sixth 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°. There are two shorter (2.15 Å) and two longer (2.16 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to one Rb1+, four equivalent Mg2+, and one Cr3+ atom to form ORbMg4Cr octahedra that share corners with six ORbMg4Cr octahedra and edges with twelve OMg6 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 OMg6 octahedra that share corners with six ORbMg4Cr octahedra and edges with twelve ORbMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh 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°. The O–Mg bond length is 2.15 Å. In the twelfth 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°. There are three shorter (2.15 Å) and two longer (2.16 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on CsMg30CrO32 by Materials Project

CsMg30CrO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Cs1+ is bonded to six O2- atoms to form CsO6 octahedra that share corners with two equivalent CrO6 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 (2.46 Å) and four longer (2.47 Å) Cs–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 CsO6 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 1.86–2.26 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CrO6 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 2.08–2.20 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 four shorter (2.10 Å) and two longer (2.20 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 two shorter (2.14 Å) and four longer (2.17 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 CsO6 octahedra, an edgeedge with one CrO6 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 2.11–2.24 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 0–5°. There are one shorter (2.16 Å) and five longer (2.17 Å) Mg–O bond lengths. 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 CsO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mg–O bond distances ranging from 2.12–2.23 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 CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are two shorter (2.16 Å) and four longer (2.17 Å) Mg–O bond lengths. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CsO6 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 (1.88 Å) and four longer (2.13 Å) Cr–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to one Cs1+ and five Mg2+ atoms to form distorted OCsMg5 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OCsMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form OMg5Cr octahedra that share corners with six OCsMg5 octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 0–7°. 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 0–2°. Both O–Mg bond lengths are 2.17 Å. In the fifth O2- site, O2- is bonded to one Cs1+ and five Mg2+ atoms to form a mixture of distorted edge and corner-sharing OCsMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of O–Mg bond distances ranging from 1.86–2.23 Å. In the sixth 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°. There are two shorter (2.16 Å) and two longer (2.17 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCsMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to one Cs1+, four equivalent Mg2+, and one Cr3+ atom to form distorted OCsMg4Cr octahedra that share corners with six OCsMg4Cr octahedra and edges with twelve OMg6 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 OMg6 octahedra that share corners with six OCsMg4Cr octahedra and edges with twelve OCsMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh 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°. The O–Mg bond length is 2.16 Å. In the twelfth 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°. There are three shorter (2.16 Å) and two longer (2.17 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on LiCr(MoO4)2 by Materials Project

LiCr(MoO4)2 crystallizes in the triclinic P-1 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 2.02–2.26 Å. There are two inequivalent Mo6+ sites. In the first Mo6+ site, Mo6+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with three equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 19–45°. There are a spread of Mo–O bond distances ranging from 1.77–1.83 Å. In the second Mo6+ site, Mo6+ is bonded to four O2- atoms to form distorted MoO4 tetrahedra that share corners with three equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 36–65°. There are a spread of Mo–O bond distances ranging from 1.73–1.91 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six MoO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.01 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mo6+ and two equivalent Cr3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to one Li1+ and one Mo6+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Cr3+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mo6+ and one Cr3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mo6+, and one Cr3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mo6+, and one Cr3+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Mo6+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Mo6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cr(PO4)2 by Materials Project

Li3Cr(PO4)2 crystallizes in the orthorhombic Pca2_1 space group. The structure is three-dimensional. there are six 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 1.93–2.65 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.57 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one CrO5 square pyramid, corners with two equivalent PO4 tetrahedra, and edges with two PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.40 Å. In the fourth 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 1.96–2.47 Å. In the fifth 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 1.89–2.30 Å. In the sixth 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 1.98–2.80 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to five O2- atoms to form distorted CrO5 square pyramids that share a cornercorner with one LiO6 pentagonal pyramid and corners with five PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.04 Å. In the second Cr3+ site, Cr3+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Cr–O bond distances ranging from 1.99–2.56 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share an edgeedge with one LiO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 pentagonal pyramids and a cornercorner with one CrO5 square pyramid. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CrO5 square pyramids and an edgeedge with one LiO6 pentagonal pyramid. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent CrO5 square pyramids. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted edge-sharing OLi3P tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Cr3+, and one P5+ atom to form distorted edge-sharing OLi2CrP trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Cr3Co3(WO8)2 by Materials Project

Li4Cr3Co3(WO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent WO6 octahedra, corners with four CrO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–64°. There is one shorter (1.96 Å) and three longer (1.97 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one CrO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three equivalent WO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Li–O bond distances ranging from 1.82–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent CrO6 octahedra, corners with three equivalent WO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.82–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent WO6 octahedra, corners with four CoO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. There are two inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent CoO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of W–O bond distances ranging from 1.85–2.08 Å. In the second W6+ site, W6+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CrO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of W–O bond distances ranging from 1.91–2.02 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one WO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Cr–O bond distances ranging from 1.97–2.12 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent WO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one WO6 octahedra, edges with four equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Cr–O bond distances ranging from 1.96–2.12 Å. There are two inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one WO6 octahedra, edges with four equivalent CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.90–2.04 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent WO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one WO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Co–O bond distances ranging from 1.94–2.24 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one W6+, one Cr3+, and one Co+2.33+ atom. In the second O2- site, O2- is bonded to one Li1+, one W6+, and two equivalent Cr3+ atoms to form distorted OLiCr2W tetrahedra that share corners with four OLiCr2Co tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, and edges with three OLiCr2Co tetrahedra. In the third O2- site, O2- is bonded to one Li1+, two equivalent Cr3+, and one Co+2.33+ atom to form distorted OLiCr2Co tetrahedra that share corners with three equivalent OLiCr2Co tetrahedra, corners with two equivalent OLiCrCoW trigonal pyramids, and edges with three OLiCr2W tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Cr3+, and one Co+2.33+ atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Cr3+, and two equivalent Co+2.33+ atoms to form corner-sharing OLiCrCo2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one W6+, one Cr3+, and one Co+2.33+ atom to form distorted OLiCrCoW tetrahedra that share corners with four OLiCr2W tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, and edges with three OLiCr2W tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one W6+, and two equivalent Cr3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one W6+, and two equivalent Co+2.33+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one W6+, one Cr3+, and one Co+2.33+ atom to form distorted OLiCrCoW trigonal pyramids that share corners with three OLiCr2Co tetrahedra, a cornercorner with one OLiCrCoW trigonal pyramid, and edges with two OLiCrCoW trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr3+, and two equivalent Co+2.33+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with six OLiCr2W tetrahedra and edges with two equivalent OLiCrCoW trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one W6+, one Cr3+, and one Co+2.33+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one W6+, and two equivalent Co+2.33+ atoms.

36 MATERIALS SCIENCE↗

Integrating Machine-learning-assisted Computer Vision with RICH System

Developments in artificial intelligence have vastly expanded the capabilities of robots. Currently, the Spallation Neutron Source (SNS) beamlines at Oak Ridge National Lab (ORNL) have robotic sample loaders to increase the efficiency of running experiments. However, they require retraining if anything about the situation changes, e.g., where the samples are, and cannot notice if errors occur. So, the viability of using computer vision and machine learning to enhance these sample loaders’ functionality was investigated. In this project, the RICH system with a Dobot CR3 6-axis robot present at the VULCAN beamline assisted by an Intel Realsense D435i camera, a unique camera that enables convenient translation of 2D pixel coordinates to 3D world points, was programmed to load ceramic crucibles into a thermogravimetric analyzer (TGA) furnace. An algorithm was constructed in Python with three major phases planned: (1) obtaining a sample, (2) moving it to the target location, and then (3) bringing the sample back to its original location once the experiment finished. In the first phase, the algorithm would dynamically detect sample locations using ArUco markers to recognize the samples’ general location and a custom-trained yolov5 object detection model to locate the crucibles’ centers. Afterward, the robot would be directed to pick up samples based on the crucibles’ calculated positions. In the second phase, the robot would move the sample to a secondary point, reorient its grip, and place the sample at the target location. In the final phase, the robot would determine whether the sample was intact and would bring it back to its original place if it was or raise an alarm. Using this algorithm, the robot was able to pick up different types of crucibles at varying positions. These results indicate that integrating machine-learning-assisted computer vision with robotic sample loaders can result in effective autonomous detection of samples.

97 MATHEMATICS AND COMPUTING↗

Materials Data on Li4Al3Cr3(SbO8)2 by Materials Project

Li4Cr3Al3(SbO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SbO6 octahedra, corners with four CrO6 octahedra, and corners with five AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There is three shorter (1.97 Å) and one longer (1.98 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–1.97 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.78–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent SbO6 octahedra, corners with four AlO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Li–O bond distances ranging from 1.96–1.98 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cr–O bond distances ranging from 1.97–2.07 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with four equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with four equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Al–O bond distances ranging from 1.84–2.00 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Al–O bond distances ranging from 1.86–2.03 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent AlO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one AlO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are three shorter (2.01 Å) and three longer (2.06 Å) Sb–O bond lengths. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Sb–O bond distances ranging from 2.01–2.06 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr3+, one Al3+, and one Sb5+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Cr3+, and one Sb5+ atom to form distorted OLiCr2Sb trigonal pyramids that share corners with four OLiAlCr2 tetrahedra, a cornercorner with one OLiAl2Cr trigonal pyramid, and edges with two equivalent OLiAlCrSb tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Cr3+, and one Al3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Cr3+, and one Al3+ atom to form OLiAlCr2 tetrahedra that share corners with four equivalent OLiAlCrSb tetrahedra and corners with two equivalent OLiCr2Sb trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Cr3+, and two equivalent Al3+ atoms to form corner-sharing OLiAl2Cr tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Cr3+, one Al3+, and one Sb5+ atom to form distorted OLiAlCrSb tetrahedra that share corners with three OLiAlCr2 tetrahedra, corners with two OLiAl2Cr trigonal pyramids, an edgeedge with one OLiAlCrSb tetrahedra, and an edgeedge with one OLiCr2Sb trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Cr3+, and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Al3+, and one Sb5+ atom. In the ninth O2- site, O2- is bonded to one Li1+, one Cr3+, one Al3+, and one Sb5+ atom to form distorted OLiAlCrSb trigonal pyramids that share corners with two equivalent OLiAl2Cr tetrahedra, corners with two OLiAlCrSb trigonal pyramids, and edges with three OLiAlCrSb trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr3+, and two equivalent Al3+ atoms to form distorted OLiAl2Cr trigonal pyramids that share corners with five OLiAl2Cr tetrahedra, a cornercorner with one OLiCr2Sb trigonal pyramid, and edges with three OLiAlCrSb trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr3+, one Al3+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Al3+, and one Sb5+ atom to form distorted OLiAl2Sb trigonal pyramids that share corners with two equivalent OLiAl2Cr tetrahedra, corners with two equivalent OLiAlCrSb trigonal pyramids, and edges with three OLiAlCrSb trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cr(PO4)2 by Materials Project

Li3Cr(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.57 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.18 Å. In the fourth 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 2.08–2.65 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one CrO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 2.00–2.55 Å. In the sixth 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 2.08–2.69 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.67 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.27 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.73 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.54 Å. In the twelfth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.29 Å. There are four inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Cr–O bond distances ranging from 1.99–2.16 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.09 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.13 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four PO4 tetrahedra and an edgeedge with one PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.08 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 50°. 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 a cornercorner with one CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There is one shorter (1.54 Å) and three longer (1.57 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one CrO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Cr3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Cr3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sm8CrTe13Cl by Materials Project

Sm8CrTe13Cl crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are eight inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Sm–Te bond distances ranging from 3.17–3.54 Å. In the second Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Sm–Te bond distances ranging from 3.17–3.47 Å. In the third Sm3+ site, Sm3+ is bonded to seven Te2- atoms to form distorted SmTe7 pentagonal bipyramids that share corners with two equivalent CrTe6 octahedra and edges with two equivalent SmTe7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Sm–Te bond distances ranging from 3.13–3.23 Å. In the fourth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to seven Te2- and one Cl1- atom. There are a spread of Sm–Te bond distances ranging from 3.19–3.37 Å. The Sm–Cl bond length is 3.25 Å. In the fifth Sm3+ site, Sm3+ is bonded in a 2-coordinate geometry to six Te2- and two equivalent Cl1- atoms. There are a spread of Sm–Te bond distances ranging from 3.23–3.38 Å. Both Sm–Cl bond lengths are 2.82 Å. In the sixth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Sm–Te bond distances ranging from 3.16–3.58 Å. In the seventh Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to seven Te2- and one Cl1- atom. There are a spread of Sm–Te bond distances ranging from 3.15–3.24 Å. The Sm–Cl bond length is 3.05 Å. In the eighth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Sm–Te bond distances ranging from 3.17–3.64 Å. Cr3+ is bonded to six Te2- atoms to form CrTe6 octahedra that share corners with two equivalent SmTe7 pentagonal bipyramids and edges with two equivalent CrTe6 octahedra. There are a spread of Cr–Te bond distances ranging from 2.73–2.76 Å. There are thirteen inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 5-coordinate geometry to three Sm3+ and two equivalent Cr3+ atoms. In the second Te2- site, Te2- is bonded in a 7-coordinate geometry to five Sm3+ and two equivalent Cl1- atoms. Both Te–Cl bond lengths are 3.56 Å. In the third Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ atoms. In the fourth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ atoms. In the fifth Te2- site, Te2- is bonded to three Sm3+ and two equivalent Cr3+ atoms to form distorted corner-sharing TeSm3Cr2 trigonal bipyramids. In the sixth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ atoms. In the seventh Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ atoms. In the eighth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ and two equivalent Cl1- atoms. Both Te–Cl bond lengths are 3.56 Å. In the ninth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ atoms. In the tenth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Sm3+ atoms. In the eleventh Te2- site, Te2- is bonded in a 5-coordinate geometry to four Sm3+ and one Cr3+ atom. In the twelfth Te2- site, Te2- is bonded in a 7-coordinate geometry to five Sm3+ and two equivalent Cl1- atoms. Both Te–Cl bond lengths are 3.57 Å. In the thirteenth Te2- site, Te2- is bonded in a 5-coordinate geometry to four Sm3+ and one Cr3+ atom. Cl1- is bonded in a 4-coordinate geometry to four Sm3+ and six Te2- atoms.

36 MATERIALS SCIENCE↗

Materials Data on Tb8CrTe13Cl by Materials Project

Tb8CrTe13Cl crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are eight inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to seven Te2- and one Cl1- atom. There are a spread of Tb–Te bond distances ranging from 3.14–3.22 Å. The Tb–Cl bond length is 2.97 Å. In the second Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Tb–Te bond distances ranging from 3.14–3.47 Å. In the third Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Tb–Te bond distances ranging from 3.16–3.40 Å. In the fourth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to seven Te2- and one Cl1- atom. There are a spread of Tb–Te bond distances ranging from 3.16–3.30 Å. The Tb–Cl bond length is 3.17 Å. In the fifth Tb3+ site, Tb3+ is bonded in a 2-coordinate geometry to six Te2- and two equivalent Cl1- atoms. There are a spread of Tb–Te bond distances ranging from 3.21–3.28 Å. Both Tb–Cl bond lengths are 2.82 Å. In the sixth Tb3+ site, Tb3+ is bonded to seven Te2- atoms to form distorted TbTe7 pentagonal bipyramids that share corners with two equivalent CrTe6 octahedra and edges with two equivalent TbTe7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of Tb–Te bond distances ranging from 3.08–3.17 Å. In the seventh Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Tb–Te bond distances ranging from 3.13–3.53 Å. In the eighth Tb3+ site, Tb3+ is bonded in a 8-coordinate geometry to eight Te2- atoms. There are a spread of Tb–Te bond distances ranging from 3.15–3.59 Å. Cr3+ is bonded to six Te2- atoms to form CrTe6 octahedra that share corners with two equivalent TbTe7 pentagonal bipyramids and edges with two equivalent CrTe6 octahedra. There are a spread of Cr–Te bond distances ranging from 2.70–2.76 Å. There are thirteen inequivalent Te2- sites. In the first Te2- site, Te2- is bonded in a 5-coordinate geometry to four Tb3+ and one Cr3+ atom. In the second Te2- site, Te2- is bonded in a 7-coordinate geometry to five Tb3+ and two equivalent Cl1- atoms. Both Te–Cl bond lengths are 3.52 Å. In the third Te2- site, Te2- is bonded in a 7-coordinate geometry to five Tb3+ and two equivalent Cl1- atoms. Both Te–Cl bond lengths are 3.54 Å. In the fourth Te2- site, Te2- is bonded to five Tb3+ atoms to form distorted TeTb5 trigonal bipyramids that share corners with two equivalent TeTb4Cr trigonal bipyramids and edges with five TeTb5 trigonal bipyramids. In the fifth Te2- site, Te2- is bonded to four Tb3+ and one Cr3+ atom to form a mixture of distorted corner and edge-sharing TeTb4Cr trigonal bipyramids. In the sixth Te2- site, Te2- is bonded to three Tb3+ and two equivalent Cr3+ atoms to form distorted TeTb3Cr2 trigonal bipyramids that share corners with two equivalent TeTb3Cr2 trigonal bipyramids and edges with four TeTb5 trigonal bipyramids. In the seventh Te2- site, Te2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the eighth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the ninth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the tenth Te2- site, Te2- is bonded in a 5-coordinate geometry to three Tb3+ and two equivalent Cr3+ atoms. In the eleventh Te2- site, Te2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the twelfth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Tb3+ atoms. In the thirteenth Te2- site, Te2- is bonded in a 5-coordinate geometry to five Tb3+ and two equivalent Cl1- atoms. Both Te–Cl bond lengths are 3.52 Å. Cl1- is bonded in a 4-coordinate geometry to four Tb3+ and six Te2- atoms.

36 MATERIALS SCIENCE↗