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Materials Data on Li3Ni3(PO4)4 by Materials Project

Li3Ni3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.93–2.16 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 NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.89–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.22 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 NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.91–2.20 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. There are nine inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.03–2.12 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.02–2.13 Å. In the third Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.03–2.19 Å. In the fifth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. In the sixth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one NiO5 trigonal bipyramid. There are a spread of Ni–O bond distances ranging from 2.00–2.14 Å. In the seventh Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the eighth Ni3+ site, Ni3+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share a cornercorner with one NiO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one NiO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the ninth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one NiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Ni–O bond distances ranging from 2.02–2.22 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–52°. There is one shorter (1.53 Å) and three longer (1.55 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 three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–51°. 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 corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–53°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–51°. All P–O bond lengths are 1.55 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 34–54°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two NiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one NiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–55°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one NiO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal p

36 MATERIALS SCIENCE↗

Materials Data on In3Au10 by Materials Project

Au10In3 is beta Cu3Ti-like structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are ten inequivalent Au+0.70- sites. In the first Au+0.70- site, Au+0.70- is bonded to eight Au+0.70- and four In+2.33+ atoms to form distorted AuIn4Au8 cuboctahedra that share corners with five InAu12 cuboctahedra, corners with fifteen AuIn4Au8 cuboctahedra, edges with five InAu12 cuboctahedra, edges with eleven AuIn4Au6 cuboctahedra, faces with four InAu12 cuboctahedra, and faces with sixteen AuIn4Au8 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.96–3.06 Å. There are three shorter (2.98 Å) and one longer (3.10 Å) Au–In bond lengths. In the second Au+0.70- site, Au+0.70- is bonded to eight Au+0.70- and four In+2.33+ atoms to form distorted AuIn4Au8 cuboctahedra that share corners with five InAu12 cuboctahedra, corners with fifteen AuIn4Au8 cuboctahedra, edges with five InAu12 cuboctahedra, edges with eleven AuIn4Au6 cuboctahedra, faces with four InAu12 cuboctahedra, and faces with sixteen AuIn4Au8 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.97–3.06 Å. There are a spread of Au–In bond distances ranging from 2.98–3.10 Å. In the third Au+0.70- site, Au+0.70- is bonded to eight Au+0.70- and four In+2.33+ atoms to form distorted AuIn4Au8 cuboctahedra that share corners with five InAu12 cuboctahedra, corners with fifteen AuIn4Au8 cuboctahedra, edges with five InAu12 cuboctahedra, edges with eleven AuIn4Au6 cuboctahedra, faces with four InAu12 cuboctahedra, and faces with sixteen AuIn4Au8 cuboctahedra. There are one shorter (3.02 Å) and one longer (3.06 Å) Au–Au bond lengths. There are three shorter (2.98 Å) and one longer (3.10 Å) Au–In bond lengths. In the fourth Au+0.70- site, Au+0.70- is bonded to six Au+0.70- and four In+2.33+ atoms to form distorted AuIn4Au6 cuboctahedra that share corners with five InAu12 cuboctahedra, corners with thirteen AuIn4Au8 cuboctahedra, edges with two InAu12 cuboctahedra, edges with sixteen AuIn4Au8 cuboctahedra, faces with three InAu12 cuboctahedra, and faces with thirteen AuIn4Au8 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.96–3.05 Å. There are a spread of Au–In bond distances ranging from 2.97–3.03 Å. In the fifth Au+0.70- site, Au+0.70- is bonded to six Au+0.70- and four In+2.33+ atoms to form distorted AuIn4Au6 cuboctahedra that share corners with five InAu12 cuboctahedra, corners with thirteen AuIn4Au8 cuboctahedra, edges with two InAu12 cuboctahedra, edges with sixteen AuIn4Au8 cuboctahedra, faces with three InAu12 cuboctahedra, and faces with thirteen AuIn4Au8 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.96–3.05 Å. There are a spread of Au–In bond distances ranging from 2.97–3.02 Å. In the sixth Au+0.70- site, Au+0.70- is bonded to six Au+0.70- and four In+2.33+ atoms to form distorted AuIn4Au6 cuboctahedra that share corners with five InAu12 cuboctahedra, corners with thirteen AuIn4Au8 cuboctahedra, edges with two InAu12 cuboctahedra, edges with sixteen AuIn4Au8 cuboctahedra, faces with three InAu12 cuboctahedra, and faces with thirteen AuIn4Au8 cuboctahedra. There are a spread of Au–Au bond distances ranging from 2.96–3.04 Å. There are a spread of Au–In bond distances ranging from 2.97–3.03 Å. In the seventh Au+0.70- site, Au+0.70- is bonded to nine Au+0.70- and three In+2.33+ atoms to form distorted AuIn3Au9 cuboctahedra that share corners with four InAu12 cuboctahedra, corners with twelve AuIn4Au8 cuboctahedra, edges with four InAu12 cuboctahedra, edges with fifteen AuIn4Au8 cuboctahedra, faces with five InAu12 cuboctahedra, and faces with fourteen AuIn4Au8 cuboctahedra. There are two shorter (2.96 Å) and two longer (3.01 Å) Au–Au bond lengths. There are two shorter (2.96 Å) and one longer (3.05 Å) Au–In bond lengths. In the eighth Au+0.70- site, Au+0.70- is bonded to nine Au+0.70- and three In+2.33+ atoms to form distorted AuIn3Au9 cuboctahedra that share corners with four InAu12 cuboctahedra, corners with twelve AuIn4Au8 cuboctahedra, edges with four InAu12 cuboctahedra, edges with fifteen AuIn4Au8 cuboctahedra, faces with five InAu12 cuboctahedra, and faces with fourteen AuIn4Au8 cuboctahedra. There are two shorter (2.96 Å) and one longer (3.01 Å) Au–Au bond lengths. There are two shorter (2.96 Å) and one longer (3.04 Å) Au–In bond lengths. In the ninth Au+0.70- site, Au+0.70- is bonded to nine Au+0.70- and three In+2.33+ atoms to form distorted AuIn3Au9 cuboctahedra that share corners with four InAu12 cuboctahedra, corners with twelve AuIn4Au8 cuboctahedra, edges with four InAu12 cuboctahedra, edges with fifteen AuIn4Au8 cuboctahedra, faces with five InAu12 cuboctahedra, and faces with fourteen AuIn4Au8 cuboctahedra. Both Au–Au bond lengths are 2.96 Å. There are two shorter (2.96 Å) and one longer (3.05 Å) Au–In bond lengths. In the tenth Au+0.70- site, Au+0.70- is bonded to nine Au+0.70- and three In+2.33+ atoms to form distorted AuIn3Au9 cuboctahedra that share corners with six InAu12 cuboctahedra, corners with twelve AuIn4Au8 cuboctahedra, edges with six InAu12 cuboctahedra, edges with twelve AuIn4Au8 cuboctahedra, faces with three InAu12 cuboctahedra, and faces with seventeen AuIn4Au6 cuboctahedra. All Au–In bond lengths are 3.00 Å. There are three inequivalent In+2.33+ sites. In the first In+2.33+ site, In+2.33+ is bonded to twelve Au+0.70- atoms to form InAu12 cuboctahedra that share corners with two InAu12 cuboctahedra, corners with sixteen AuIn4Au8 cuboctahedra, edges with four InAu12 cuboctahedra, edges with thirteen AuIn4Au8 cuboctahedra, faces with six InAu12 cuboctahedra, and faces with thirteen AuIn4Au8 cuboctahedra. In the second In+2.33+ site, In+2.33+ is bonded to twelve Au+0.70- atoms to form InAu12 cuboctahedra that share corners with two InAu12 cuboctahedra, corners with sixteen AuIn4Au8 cuboctahedra, edges with four InAu12 cuboctahedra, edges with thirteen AuIn4Au8 cuboctahedra, faces with six InAu12 cuboctahedra, and faces with thirteen AuIn4Au8 cuboctahedra. In the third In+2.33+ site, In+2.33+ is bonded to twelve Au+0.70- atoms to form InAu12 cuboctahedra that share corners with two InAu12 cuboctahedra, corners with sixteen AuIn4Au8 cuboctahedra, edges with four InAu12 cuboctahedra, edges with thirteen AuIn4Au8 cuboctahedra, faces with six InAu12 cuboctahedra, and faces with thirteen AuIn4Au8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Cu4Sn7S16 by Materials Project

Cu4Sn7S16 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to six S2- atoms to form CuS6 octahedra that share corners with six CuS4 trigonal pyramids and edges with six SnS6 octahedra. There are a spread of Cu–S bond distances ranging from 2.52–2.59 Å. In the second Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve SnS6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. All Cu–S bond lengths are 2.33 Å. In the third Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 trigonal pyramids that share corners with three CuS6 octahedra and corners with nine SnS6 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. There are three shorter (2.26 Å) and one longer (2.71 Å) Cu–S bond lengths. In the fourth Cu1+ site, Cu1+ is bonded to six S2- atoms to form CuS6 octahedra that share corners with six CuS4 trigonal pyramids and edges with six SnS6 octahedra. There are a spread of Cu–S bond distances ranging from 2.53–2.58 Å. In the fifth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve SnS6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are three shorter (2.33 Å) and one longer (2.34 Å) Cu–S bond lengths. In the sixth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 trigonal pyramids that share corners with three CuS6 octahedra and corners with nine SnS6 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. There are a spread of Cu–S bond distances ranging from 2.26–2.71 Å. In the seventh Cu1+ site, Cu1+ is bonded to six S2- atoms to form CuS6 octahedra that share corners with six CuS4 trigonal pyramids and edges with six SnS6 octahedra. There are a spread of Cu–S bond distances ranging from 2.52–2.58 Å. In the eighth Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with three CuS6 octahedra and corners with nine SnS6 octahedra. The corner-sharing octahedra tilt angles range from 37–68°. There are a spread of Cu–S bond distances ranging from 2.24–3.16 Å. In the ninth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve SnS6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are three shorter (2.33 Å) and one longer (2.34 Å) Cu–S bond lengths. In the tenth Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with three CuS6 octahedra and corners with nine SnS6 octahedra. The corner-sharing octahedra tilt angles range from 36–67°. There are three shorter (2.23 Å) and one longer (3.09 Å) Cu–S bond lengths. In the eleventh Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with three CuS6 octahedra and corners with nine SnS6 octahedra. The corner-sharing octahedra tilt angles range from 37–68°. There are a spread of Cu–S bond distances ranging from 2.24–3.16 Å. In the twelfth Cu1+ site, Cu1+ is bonded to four S2- atoms to form distorted CuS4 trigonal pyramids that share corners with three CuS6 octahedra and corners with nine SnS6 octahedra. The corner-sharing octahedra tilt angles range from 37–68°. There are three shorter (2.25 Å) and one longer (3.16 Å) Cu–S bond lengths. There are fifteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.65 Å. In the second Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.65 Å. In the third Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with three CuS4 tetrahedra and edges with six SnS6 octahedra. There are three shorter (2.56 Å) and three longer (2.65 Å) Sn–S bond lengths. In the fourth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with two CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.66 Å. In the fifth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with two equivalent CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.66 Å. In the sixth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.65 Å. In the seventh Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.65 Å. In the eighth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with three CuS4 tetrahedra and edges with six SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.56–2.65 Å. In the ninth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with two CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.56–2.66 Å. In the tenth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with two equivalent CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.66 Å. In the eleventh Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.66 Å. In the twelfth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share a cornercorner with one CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.57–2.65 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with three CuS4 tetrahedra and edges with six SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.56–2.65 Å. In the fourteenth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with two CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.56–2.66 Å. In the fifteenth Sn4+ site, Sn4+ is bonded to six S2- atoms to form SnS6 octahedra that share corners with two equivalent CuS4 tetrahedra, corners with three CuS4 trigonal pyramids, an edgeedge with one CuS6 octahedra, and edges with five SnS6 octahedra. There are a spread of Sn–S bond distances ranging from 2.56–2.65 Å. There are thirty-six inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the second S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two equivalent Sn4+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two Sn4+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the ninth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two equivalent Sn4+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two Sn4+ atoms. In the twelfth S2- site, S2- is bonded in a 4-coordinate geometry to one Cu1+ and three Sn4+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two Sn4+ atoms. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the fifteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two equivalent Sn4+ atoms. In the sixteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the seventeenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the twentieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the twenty-first S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two equivalent Sn4+ atoms. In the twenty-third S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two Sn4+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 4-coordinate geometry to one Cu1+ and three Sn4+ atoms. In the twenty-fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two Sn4+ atoms. In the twenty-sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two equivalent Sn4+ atoms. In the twenty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the twenty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the thirtieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the thirty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Cu1+ and three Sn4+ atoms. In the thirty-second S2- site, S2- is bonded in a distorted T-shaped geometry to three Sn4+ atoms. In the thirty-third S2- site, S2- is bonded in a 4-coordinate geometry to one Cu1+ and three Sn4+ atoms. In the thirty-fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two Sn4+ atoms. In the thirty-fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Cu1+ and two

36 MATERIALS SCIENCE↗

Materials Data on GdAl22O34 by Materials Project

GdAl22O34 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Gd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Gd–O bond distances ranging from 2.41–2.87 Å. There are twelve inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.09 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.09 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.81 Å) and two longer (1.83 Å) Al–O bond length. In the seventh Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Al–O bond distances ranging from 1.74–1.81 Å. In the eighth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.06 Å. In the tenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the twelfth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Al–O bond distances ranging from 1.81–1.83 Å. There are seventeen inequivalent O sites. In the first O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixth O site, O is bonded in a 3-coordinate geometry to one Gd and three Al atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Gd and three Al atoms. In the eighth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the tenth O site, O is bonded in a 3-coordinate geometry to one Gd and two Al atoms. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Gd and three Al atoms. In the twelfth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the thirteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5GeN3 by Materials Project

Li5GeN3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.02–2.46 Å. In the second Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.18 Å. In the third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.06–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.31 Å. In the eighth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.20 Å. In the tenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with fourteen LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.13 Å. In the eleventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.36 Å. In the thirteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.33 Å. In the fourteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.00–2.22 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 1.96–2.50 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.03–2.53 Å. In the seventeenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, edges with four LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.04–2.24 Å. In the eighteenth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.21 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.03–2.49 Å. In the twentieth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with nine LiN4 tetrahedra, edges with two GeN4 tetrahedra, edges with three LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 2.09–2.12 Å. In the twenty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.20 Å. In the twenty-second Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with eight LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, edges with four LiN4 tetrahedra, and an edgeedge with one LiN4 trigonal pyramid. There are a spread of Li–N bond distances ranging from 1.98–2.19 Å. In the twenty-third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 2.01–2.38 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 trigonal pyramids that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.11–2.22 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two LiN4 tetrahedra, and edges with two GeN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.05–2.19 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.00–2.27 Å. In the twenty-seventh Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.20 Å. In the twenty-eighth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.08–2.31 Å. In the twenty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eight LiN4 tetrahedra, corners with two LiN4 trigonal pyramids, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.31 Å. In the thirtieth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.23 Å. In the thirty-first Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.20 Å. In the thirty-second Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with three LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.07–2.27 Å. In the thirty-third Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with eleven LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.02–2.23 Å. In the thirty-fourth Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with four GeN4 tetrahedra, corners with ten LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.03–2.18 Å. In the thirty-fifth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with nine LiN4 tetrahedra, a cornercorner with one LiN4 trigonal pyramid, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.09–2.22 Å. In the thirty-sixth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with twelve LiN4 tetrahedra, edges with two GeN4 tetrahedra, and edges with four LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.04–2.26 Å. In the thirty-seventh Li1+ site, Li1+ is bonded to four N3- atoms to form LiN4 tetrahedra that share corners with three GeN4 tetrahedra, corners with thirteen LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with five LiN4 tetrahedra. There are a spread of Li–N bond distances ranging from 2.10–2.19 Å. In the thirty-eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four N3- atoms. There are a spread of Li–N bond distances ranging from 1.93–2.56 Å. In the thirty-ninth Li1+ site, Li1+ is bonded to four N3- atoms to form distorted LiN4 tetrahedra that share corners with two GeN4 tetrahedra, corners with ten LiN4 tetrahedra, an edgeedge with one GeN4 tetrahedra, and edges with fo

36 MATERIALS SCIENCE↗

Materials Data on Ba9(NbN6)2 by Materials Project

Ba9(NbN6)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to seven N+2.33- atoms. There are a spread of Ba–N bond distances ranging from 2.70–3.29 Å. In the second Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven N+2.33- atoms. There are a spread of Ba–N bond distances ranging from 2.83–3.35 Å. In the third Ba2+ site, Ba2+ is bonded in a 4-coordinate geometry to eight N+2.33- atoms. There are a spread of Ba–N bond distances ranging from 2.62–3.35 Å. In the fourth Ba2+ site, Ba2+ is bonded to five N+2.33- atoms to form distorted BaN5 trigonal bipyramids that share corners with two BaN6 octahedra, corners with two NbN4 tetrahedra, corners with four BaN5 trigonal bipyramids, edges with four BaN6 octahedra, an edgeedge with one NbN4 tetrahedra, and an edgeedge with one BaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 77–87°. There are a spread of Ba–N bond distances ranging from 2.71–3.29 Å. In the fifth Ba2+ site, Ba2+ is bonded to five N+2.33- atoms to form distorted BaN5 trigonal bipyramids that share corners with two BaN6 octahedra, corners with four NbN4 tetrahedra, a cornercorner with one BaN5 trigonal bipyramid, edges with two BaN6 octahedra, and an edgeedge with one BaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 16–100°. There are a spread of Ba–N bond distances ranging from 2.71–3.03 Å. In the sixth Ba2+ site, Ba2+ is bonded to six N+2.33- atoms to form distorted BaN6 octahedra that share corners with two equivalent BaN6 octahedra, a cornercorner with one NbN4 tetrahedra, edges with two equivalent BaN6 octahedra, an edgeedge with one NbN4 tetrahedra, and edges with four BaN5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–19°. There are a spread of Ba–N bond distances ranging from 2.74–3.13 Å. In the seventh Ba2+ site, Ba2+ is bonded to six N+2.33- atoms to form distorted BaN6 octahedra that share a cornercorner with one BaN6 octahedra, a cornercorner with one NbN4 tetrahedra, corners with two BaN5 trigonal bipyramids, edges with three BaN6 octahedra, an edgeedge with one NbN4 tetrahedra, and edges with three BaN5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ba–N bond distances ranging from 2.57–3.25 Å. In the eighth Ba2+ site, Ba2+ is bonded to six N+2.33- atoms to form distorted BaN6 octahedra that share corners with three BaN6 octahedra, a cornercorner with one NbN4 tetrahedra, corners with two BaN5 trigonal bipyramids, edges with two BaN6 octahedra, edges with two NbN4 tetrahedra, and edges with three BaN5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–37°. There are a spread of Ba–N bond distances ranging from 2.87–3.17 Å. In the ninth Ba2+ site, Ba2+ is bonded to five N+2.33- atoms to form distorted BaN5 trigonal bipyramids that share corners with four NbN4 tetrahedra, corners with three equivalent BaN5 trigonal bipyramids, and edges with four BaN6 octahedra. There are a spread of Ba–N bond distances ranging from 2.65–3.28 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to four N+2.33- atoms to form NbN4 tetrahedra that share corners with three BaN6 octahedra, corners with five BaN5 trigonal bipyramids, an edgeedge with one BaN6 octahedra, and an edgeedge with one BaN5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 56–85°. There are a spread of Nb–N bond distances ranging from 1.97–2.03 Å. In the second Nb5+ site, Nb5+ is bonded to four N+2.33- atoms to form NbN4 tetrahedra that share corners with five BaN5 trigonal bipyramids and edges with three BaN6 octahedra. There are a spread of Nb–N bond distances ranging from 1.96–2.01 Å. There are twelve inequivalent N+2.33- sites. In the first N+2.33- site, N+2.33- is bonded in a 5-coordinate geometry to four Ba2+ and one Nb5+ atom. In the second N+2.33- site, N+2.33- is bonded in a 5-coordinate geometry to four Ba2+ and one Nb5+ atom. In the third N+2.33- site, N+2.33- is bonded in a 1-coordinate geometry to five Ba2+ and one Nb5+ atom. In the fourth N+2.33- site, N+2.33- is bonded to six Ba2+ atoms to form a mixture of corner and edge-sharing NBa6 octahedra. The corner-sharing octahedra tilt angles range from 20–24°. In the fifth N+2.33- site, N+2.33- is bonded in a 6-coordinate geometry to five Ba2+ and one Nb5+ atom. In the sixth N+2.33- site, N+2.33- is bonded in a 6-coordinate geometry to five Ba2+ and one Nb5+ atom. In the seventh N+2.33- site, N+2.33- is bonded in a 1-coordinate geometry to five Ba2+ and one Nb5+ atom. In the eighth N+2.33- site, N+2.33- is bonded to five Ba2+ and one Nb5+ atom to form distorted NBa5Nb octahedra that share corners with two equivalent NBa6 octahedra and edges with three NBa5Nb octahedra. The corner-sharing octahedra tilt angles range from 20–24°. In the ninth N+2.33- site, N+2.33- is bonded in a 6-coordinate geometry to five Ba2+ and one Nb5+ atom. In the tenth N+2.33- site, N+2.33- is bonded in a 4-coordinate geometry to four Ba2+ and one N+2.33- atom. The N–N bond length is 1.19 Å. In the eleventh N+2.33- site, N+2.33- is bonded in a 6-coordinate geometry to five Ba2+ and one N+2.33- atom. The N–N bond length is 1.19 Å. In the twelfth N+2.33- site, N+2.33- is bonded in a 2-coordinate geometry to two Ba2+ and two N+2.33- atoms.

36 MATERIALS SCIENCE↗

Materials Data on La5Ti2CuS5O7 by Materials Project

La5Ti2CuS5O7 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are five inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are two shorter (3.01 Å) and three longer (3.03 Å) La–S bond lengths. There are a spread of La–O bond distances ranging from 2.50–2.67 Å. In the second La3+ site, La3+ is bonded in a 3-coordinate geometry to five S2- and three O2- atoms. There are a spread of La–S bond distances ranging from 3.00–3.21 Å. There are two shorter (2.44 Å) and one longer (2.55 Å) La–O bond lengths. In the third La3+ site, La3+ is bonded in a 7-coordinate geometry to two equivalent S2- and five O2- atoms. Both La–S bond lengths are 3.07 Å. There are a spread of La–O bond distances ranging from 2.34–2.63 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to five S2- and four O2- atoms. There are a spread of La–S bond distances ranging from 2.90–3.11 Å. There are a spread of La–O bond distances ranging from 2.48–2.62 Å. In the fifth La3+ site, La3+ is bonded in a 3-coordinate geometry to five S2- and three O2- atoms. There are a spread of La–S bond distances ranging from 2.89–3.43 Å. There are one shorter (2.44 Å) and two longer (2.48 Å) La–O bond lengths. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted corner-sharing TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 1.81–2.01 Å. In the second Ti4+ site, Ti4+ is bonded in a 4-coordinate geometry to two S2- and four O2- atoms. There are one shorter (2.38 Å) and one longer (2.76 Å) Ti–S bond lengths. There are a spread of Ti–O bond distances ranging from 1.87–2.01 Å. Cu1+ is bonded to four S2- atoms to form corner-sharing CuS4 tetrahedra. There are a spread of Cu–S bond distances ranging from 2.35–2.38 Å. There are five inequivalent S2- sites. In the first S2- site, S2- is bonded in a 1-coordinate geometry to five La3+ and one Cu1+ atom. In the second S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to two equivalent La3+, one Ti4+, and two equivalent Cu1+ atoms. In the third S2- site, S2- is bonded in a 6-coordinate geometry to five La3+ and one Ti4+ atom. In the fourth S2- site, S2- is bonded in a 1-coordinate geometry to five La3+ and one Cu1+ atom. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to five La3+ atoms. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Ti4+ atom. In the fourth O2- site, O2- is bonded to four La3+ atoms to form distorted OLa4 tetrahedra that share corners with two equivalent OLa4 tetrahedra and edges with two equivalent OLa3Ti tetrahedra. In the fifth O2- site, O2- is bonded to three La3+ and one Ti4+ atom to form distorted OLa3Ti tetrahedra that share corners with two equivalent OLa3Ti tetrahedra and edges with two equivalent OLa4 tetrahedra. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three La3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn4Si7 by Materials Project

Mn4Si7 crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are sixteen inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded in a 10-coordinate geometry to ten Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.90 Å. In the second Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.30–2.56 Å. In the third Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.56 Å. In the fourth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.32–2.50 Å. In the fifth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.33–2.50 Å. In the sixth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.56 Å. In the seventh Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.36–2.42 Å. In the eighth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.32–2.50 Å. In the ninth Mn3+ site, Mn3+ is bonded in a 10-coordinate geometry to ten Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.91 Å. In the tenth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.32–2.50 Å. In the eleventh Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.36–2.42 Å. In the twelfth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.36–2.42 Å. In the thirteenth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.56 Å. In the fourteenth Mn3+ site, Mn3+ is bonded in a 8-coordinate geometry to eight Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.37–2.42 Å. In the fifteenth Mn3+ site, Mn3+ is bonded in a 10-coordinate geometry to ten Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.90 Å. In the sixteenth Mn3+ site, Mn3+ is bonded in a 10-coordinate geometry to ten Si+1.71- atoms. There are a spread of Mn–Si bond distances ranging from 2.29–2.90 Å. There are fourteen inequivalent Si+1.71- sites. In the first Si+1.71- site, Si+1.71- is bonded in a 4-coordinate geometry to five Mn3+ atoms. In the second Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the third Si+1.71- site, Si+1.71- is bonded in a 4-coordinate geometry to five Mn3+ atoms. In the fourth Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the fifth Si+1.71- site, Si+1.71- is bonded in a 4-coordinate geometry to five Mn3+ atoms. In the sixth Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the seventh Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the eighth Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the ninth Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the tenth Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the eleventh Si+1.71- site, Si+1.71- is bonded in a 4-coordinate geometry to four Mn3+ atoms. In the twelfth Si+1.71- site, Si+1.71- is bonded in a 5-coordinate geometry to five Mn3+ atoms. In the thirteenth Si+1.71- site, Si+1.71- is bonded in a 4-coordinate geometry to five Mn3+ atoms. In the fourteenth Si+1.71- site, Si+1.71- is bonded in a 4-coordinate geometry to four Mn3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr8(BCl)7 by Materials Project

Pr8(BCl)7 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Pr+3.50+ sites. In the first Pr+3.50+ site, Pr+3.50+ is bonded in a 7-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.61–3.01 Å. There are a spread of Pr–Cl bond distances ranging from 2.92–3.26 Å. In the second Pr+3.50+ site, Pr+3.50+ is bonded in a 7-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.62–3.00 Å. There are a spread of Pr–Cl bond distances ranging from 2.91–3.26 Å. In the third Pr+3.50+ site, Pr+3.50+ is bonded to one B3- and five Cl1- atoms to form distorted PrBCl5 pentagonal pyramids that share corners with two BPr4B3 pentagonal bipyramids and an edgeedge with one PrBCl5 pentagonal pyramid. The Pr–B bond length is 2.66 Å. There are a spread of Pr–Cl bond distances ranging from 2.88–3.03 Å. In the fourth Pr+3.50+ site, Pr+3.50+ is bonded in a 6-coordinate geometry to one B3- and five Cl1- atoms. The Pr–B bond length is 2.49 Å. There are a spread of Pr–Cl bond distances ranging from 2.88–3.03 Å. In the fifth Pr+3.50+ site, Pr+3.50+ is bonded in a 9-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.63–2.94 Å. There are a spread of Pr–Cl bond distances ranging from 3.13–3.28 Å. In the sixth Pr+3.50+ site, Pr+3.50+ is bonded in a 9-coordinate geometry to six B3- and three Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.71–2.74 Å. There are one shorter (2.97 Å) and two longer (3.06 Å) Pr–Cl bond lengths. In the seventh Pr+3.50+ site, Pr+3.50+ is bonded in a 7-coordinate geometry to eight B3- and three Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.70–3.06 Å. There are one shorter (2.96 Å) and two longer (3.15 Å) Pr–Cl bond lengths. In the eighth Pr+3.50+ site, Pr+3.50+ is bonded in a 9-coordinate geometry to five B3- and four Cl1- atoms. There are a spread of Pr–B bond distances ranging from 2.63–2.93 Å. There are a spread of Pr–Cl bond distances ranging from 3.13–3.35 Å. There are seven inequivalent B3- sites. In the first B3- site, B3- is bonded in a 5-coordinate geometry to six Pr+3.50+ and three B3- atoms. There are a spread of B–B bond distances ranging from 1.68–1.96 Å. In the second B3- site, B3- is bonded in a 9-coordinate geometry to six Pr+3.50+ and three B3- atoms. There is one shorter (1.68 Å) and one longer (1.90 Å) B–B bond length. In the third B3- site, B3- is bonded to four Pr+3.50+ and three B3- atoms to form distorted BPr4B3 pentagonal bipyramids that share a cornercorner with one PrBCl5 pentagonal pyramid, an edgeedge with one BPr5B octahedra, edges with two BPr4B3 pentagonal bipyramids, and a faceface with one BPr4B3 pentagonal bipyramid. There is one shorter (1.64 Å) and one longer (1.74 Å) B–B bond length. In the fourth B3- site, B3- is bonded in a 7-coordinate geometry to five Pr+3.50+ and two B3- atoms. The B–B bond length is 1.74 Å. In the fifth B3- site, B3- is bonded to five Pr+3.50+ and one B3- atom to form edge-sharing BPr5B octahedra. The B–B bond length is 1.74 Å. In the sixth B3- site, B3- is bonded in a 3-coordinate geometry to six Pr+3.50+ and three B3- atoms. In the seventh B3- site, B3- is bonded to four Pr+3.50+ and three B3- atoms to form distorted BPr4B3 pentagonal bipyramids that share a cornercorner with one PrBCl5 pentagonal pyramid, an edgeedge with one BPr5B octahedra, edges with two BPr4B3 pentagonal bipyramids, and a faceface with one BPr4B3 pentagonal bipyramid. There are eight inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the second Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the third Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Pr+3.50+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the fifth Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Pr+3.50+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr+3.50+ atoms. In the seventh Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Pr+3.50+ atoms. In the eighth Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Pr+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr5(CBr4)2 by Materials Project

Pr5(CBr4)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded to two C+3.50- and five Br1- atoms to form distorted PrC2Br5 pentagonal bipyramids that share a cornercorner with one PrCBr5 octahedra, a cornercorner with one PrC2Br5 pentagonal bipyramid, an edgeedge with one PrC4Br4 hexagonal bipyramid, edges with two PrCBr5 octahedra, an edgeedge with one PrC2Br5 pentagonal bipyramid, a faceface with one PrC4Br4 hexagonal bipyramid, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 4°. Both Pr–C bond lengths are 2.63 Å. There are a spread of Pr–Br bond distances ranging from 2.93–3.25 Å. In the second Pr3+ site, Pr3+ is bonded to four C+3.50- and four Br1- atoms to form distorted PrC4Br4 hexagonal bipyramids that share a cornercorner with one PrC4Br4 hexagonal bipyramid, edges with four PrCBr5 octahedra, edges with three PrC2Br5 pentagonal bipyramids, a faceface with one PrC4Br4 hexagonal bipyramid, and faces with two PrC2Br5 pentagonal bipyramids. There are a spread of Pr–C bond distances ranging from 2.70–2.75 Å. There are a spread of Pr–Br bond distances ranging from 3.09–3.21 Å. In the third Pr3+ site, Pr3+ is bonded to one C+3.50- and five Br1- atoms to form distorted PrCBr5 octahedra that share corners with two PrC2Br5 pentagonal bipyramids, edges with two PrC4Br4 hexagonal bipyramids, edges with two PrCBr5 octahedra, and edges with two PrC2Br5 pentagonal bipyramids. The Pr–C bond length is 2.31 Å. There are a spread of Pr–Br bond distances ranging from 2.96–3.27 Å. In the fourth Pr3+ site, Pr3+ is bonded to one C+3.50- and five Br1- atoms to form distorted PrCBr5 octahedra that share a cornercorner with one PrC4Br4 hexagonal bipyramid, a cornercorner with one PrC2Br5 pentagonal bipyramid, edges with two PrC4Br4 hexagonal bipyramids, edges with three PrCBr5 octahedra, and edges with two PrC2Br5 pentagonal bipyramids. The Pr–C bond length is 2.32 Å. There are a spread of Pr–Br bond distances ranging from 2.94–3.26 Å. In the fifth Pr3+ site, Pr3+ is bonded to four C+3.50- and four Br1- atoms to form distorted PrC4Br4 hexagonal bipyramids that share a cornercorner with one PrC4Br4 hexagonal bipyramid, a cornercorner with one PrCBr5 octahedra, edges with four PrCBr5 octahedra, edges with three PrC2Br5 pentagonal bipyramids, a faceface with one PrC4Br4 hexagonal bipyramid, and faces with two PrC2Br5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 6°. There are a spread of Pr–C bond distances ranging from 2.69–2.76 Å. There are a spread of Pr–Br bond distances ranging from 3.07–3.18 Å. In the sixth Pr3+ site, Pr3+ is bonded to two C+3.50- and five Br1- atoms to form distorted PrC2Br5 pentagonal bipyramids that share a cornercorner with one PrCBr5 octahedra, corners with three PrC2Br5 pentagonal bipyramids, edges with two equivalent PrC4Br4 hexagonal bipyramids, edges with three PrCBr5 octahedra, a faceface with one PrC4Br4 hexagonal bipyramid, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 5°. There are one shorter (2.60 Å) and one longer (2.61 Å) Pr–C bond lengths. There are a spread of Pr–Br bond distances ranging from 2.95–3.23 Å. In the seventh Pr3+ site, Pr3+ is bonded to two C+3.50- and five Br1- atoms to form distorted PrC2Br5 pentagonal bipyramids that share a cornercorner with one PrCBr5 octahedra, corners with two equivalent PrC2Br5 pentagonal bipyramids, an edgeedge with one PrC4Br4 hexagonal bipyramid, edges with three PrCBr5 octahedra, an edgeedge with one PrC2Br5 pentagonal bipyramid, a faceface with one PrC4Br4 hexagonal bipyramid, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 5°. There are one shorter (2.62 Å) and one longer (2.63 Å) Pr–C bond lengths. There are a spread of Pr–Br bond distances ranging from 2.94–3.21 Å. In the eighth Pr3+ site, Pr3+ is bonded to one C+3.50- and five Br1- atoms to form PrCBr5 octahedra that share edges with two PrC4Br4 hexagonal bipyramids, edges with two PrCBr5 octahedra, and edges with four PrC2Br5 pentagonal bipyramids. The Pr–C bond length is 2.31 Å. There are a spread of Pr–Br bond distances ranging from 2.96–3.21 Å. In the ninth Pr3+ site, Pr3+ is bonded to two C+3.50- and five Br1- atoms to form distorted PrC2Br5 pentagonal bipyramids that share a cornercorner with one PrCBr5 octahedra, corners with two PrC2Br5 pentagonal bipyramids, edges with two equivalent PrC4Br4 hexagonal bipyramids, edges with two PrCBr5 octahedra, a faceface with one PrC4Br4 hexagonal bipyramid, and a faceface with one PrC2Br5 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 14°. Both Pr–C bond lengths are 2.62 Å. There are a spread of Pr–Br bond distances ranging from 2.88–3.20 Å. In the tenth Pr3+ site, Pr3+ is bonded to one C+3.50- and five Br1- atoms to form distorted PrCBr5 octahedra that share a cornercorner with one PrC2Br5 pentagonal bipyramid, edges with two PrC4Br4 hexagonal bipyramids, edges with two equivalent PrCBr5 octahedra, and edges with two PrC2Br5 pentagonal bipyramids. The Pr–C bond length is 2.32 Å. There are a spread of Pr–Br bond distances ranging from 2.89–3.37 Å. There are four inequivalent C+3.50- sites. In the first C+3.50- site, C+3.50- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.50- atom. The C–C bond length is 1.41 Å. In the second C+3.50- site, C+3.50- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.50- atom. The C–C bond length is 1.41 Å. In the third C+3.50- site, C+3.50- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.50- atom. In the fourth C+3.50- site, C+3.50- is bonded in a 6-coordinate geometry to five Pr3+ and one C+3.50- atom. There are sixteen inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the second Br1- site, Br1- is bonded in an L-shaped geometry to two Pr3+ atoms. In the third Br1- site, Br1- is bonded in a distorted rectangular see-saw-like geometry to four Pr3+ atoms. In the fourth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the fifth Br1- site, Br1- is bonded in a distorted square co-planar geometry to four Pr3+ atoms. In the sixth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the seventh Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the eighth Br1- site, Br1- is bonded in an L-shaped geometry to two Pr3+ atoms. In the ninth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the tenth Br1- site, Br1- is bonded in a distorted rectangular see-saw-like geometry to four Pr3+ atoms. In the eleventh Br1- site, Br1- is bonded in a distorted L-shaped geometry to two Pr3+ atoms. In the twelfth Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms. In the thirteenth Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms. In the fourteenth Br1- site, Br1- is bonded in a 3-coordinate geometry to three Pr3+ atoms. In the fifteenth Br1- site, Br1- is bonded in a T-shaped geometry to three Pr3+ atoms. In the sixteenth Br1- site, Br1- is bonded in a distorted T-shaped geometry to three Pr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Y16B4C8I19 by Materials Project

Y16B4C8I19 crystallizes in the triclinic P-1 space group. The structure is two-dimensional and consists of one Y16B4C8I19 sheet oriented in the (0, 1, 0) direction. there are sixteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded in a 6-coordinate geometry to two C+3.62- and four I1- atoms. Both Y–C bond lengths are 2.40 Å. There are a spread of Y–I bond distances ranging from 3.04–3.37 Å. In the second Y3+ site, Y3+ is bonded to two C+3.62- and three I1- atoms to form distorted corner-sharing YC2I3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–68°. There are one shorter (2.42 Å) and one longer (2.45 Å) Y–C bond lengths. There are a spread of Y–I bond distances ranging from 3.02–3.15 Å. In the third Y3+ site, Y3+ is bonded in a 6-coordinate geometry to three C+3.62- and three I1- atoms. There are a spread of Y–C bond distances ranging from 2.28–2.59 Å. There are a spread of Y–I bond distances ranging from 3.13–3.43 Å. In the fourth Y3+ site, Y3+ is bonded to one C+3.62- and five I1- atoms to form distorted YCI5 octahedra that share corners with two equivalent YCI5 octahedra and a cornercorner with one YC2I3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 41–61°. The Y–C bond length is 2.27 Å. There are a spread of Y–I bond distances ranging from 3.03–3.25 Å. In the fifth Y3+ site, Y3+ is bonded to one C+3.62- and five I1- atoms to form distorted YCI5 octahedra that share corners with two equivalent YCI5 octahedra and a cornercorner with one YC2I3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 41–61°. The Y–C bond length is 2.26 Å. There are a spread of Y–I bond distances ranging from 3.06–3.29 Å. In the sixth Y3+ site, Y3+ is bonded in a 6-coordinate geometry to four C+3.62- and two I1- atoms. There are a spread of Y–C bond distances ranging from 2.53–2.61 Å. There are one shorter (3.22 Å) and one longer (3.30 Å) Y–I bond lengths. In the seventh Y3+ site, Y3+ is bonded in a 6-coordinate geometry to two C+3.62- and four I1- atoms. Both Y–C bond lengths are 2.40 Å. There are a spread of Y–I bond distances ranging from 3.05–3.33 Å. In the eighth Y3+ site, Y3+ is bonded in a 5-coordinate geometry to three C+3.62- and two I1- atoms. There are a spread of Y–C bond distances ranging from 2.29–2.55 Å. There are one shorter (3.11 Å) and one longer (3.27 Å) Y–I bond lengths. In the ninth Y3+ site, Y3+ is bonded to one C+3.62- and five I1- atoms to form distorted YCI5 octahedra that share corners with two equivalent YCI5 octahedra and a cornercorner with one YC2I3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 44–61°. The Y–C bond length is 2.27 Å. There are a spread of Y–I bond distances ranging from 3.01–3.29 Å. In the tenth Y3+ site, Y3+ is bonded to one C+3.62- and five I1- atoms to form distorted YCI5 octahedra that share corners with two equivalent YCI5 octahedra and a cornercorner with one YC2I3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 44–61°. The Y–C bond length is 2.26 Å. There are a spread of Y–I bond distances ranging from 3.06–3.25 Å. In the eleventh Y3+ site, Y3+ is bonded in a 1-coordinate geometry to three C+3.62- and three I1- atoms. There are a spread of Y–C bond distances ranging from 2.30–2.56 Å. There are a spread of Y–I bond distances ranging from 3.15–3.51 Å. In the twelfth Y3+ site, Y3+ is bonded in a 6-coordinate geometry to four C+3.62- and two I1- atoms. There are a spread of Y–C bond distances ranging from 2.52–2.60 Å. There are one shorter (3.21 Å) and one longer (3.32 Å) Y–I bond lengths. In the thirteenth Y3+ site, Y3+ is bonded to two C+3.62- and three I1- atoms to form distorted corner-sharing YC2I3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 62–68°. There are one shorter (2.42 Å) and one longer (2.45 Å) Y–C bond lengths. There are a spread of Y–I bond distances ranging from 3.02–3.15 Å. In the fourteenth Y3+ site, Y3+ is bonded in a 6-coordinate geometry to three C+3.62- and three I1- atoms. There are a spread of Y–C bond distances ranging from 2.28–2.59 Å. There are a spread of Y–I bond distances ranging from 3.13–3.51 Å. In the fifteenth Y3+ site, Y3+ is bonded in a 5-coordinate geometry to four C+3.62- and one I1- atom. There are a spread of Y–C bond distances ranging from 2.51–2.65 Å. The Y–I bond length is 3.10 Å. In the sixteenth Y3+ site, Y3+ is bonded in a 5-coordinate geometry to four C+3.62- and one I1- atom. There are a spread of Y–C bond distances ranging from 2.50–2.64 Å. The Y–I bond length is 3.12 Å. There are four inequivalent B sites. In the first B site, B is bonded in a distorted bent 120 degrees geometry to two C+3.62- atoms. There is one shorter (1.59 Å) and one longer (1.60 Å) B–C bond length. In the second B site, B is bonded in a distorted bent 120 degrees geometry to two C+3.62- atoms. Both B–C bond lengths are 1.60 Å. In the third B site, B is bonded in a distorted bent 120 degrees geometry to two C+3.62- atoms. Both B–C bond lengths are 1.60 Å. In the fourth B site, B is bonded in a distorted bent 120 degrees geometry to two C+3.62- atoms. There is one shorter (1.59 Å) and one longer (1.60 Å) B–C bond length. There are eight inequivalent C+3.62- sites. In the first C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the second C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the third C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the fourth C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the fifth C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the sixth C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the seventh C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. In the eighth C+3.62- site, C+3.62- is bonded in a 6-coordinate geometry to five Y3+ and one B atom. There are nineteen inequivalent I1- sites. In the first I1- site, I1- is bonded in a 2-coordinate geometry to three Y3+ atoms. In the second I1- site, I1- is bonded in a 1-coordinate geometry to three Y3+ atoms. In the third I1- site, I1- is bonded in a 2-coordinate geometry to two Y3+ atoms. In the fourth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the fifth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the sixth I1- site, I1- is bonded in a distorted bent 150 degrees geometry to two Y3+ atoms. In the seventh I1- site, I1- is bonded in a 2-coordinate geometry to two Y3+ atoms. In the eighth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the ninth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the tenth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the eleventh I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the twelfth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the thirteenth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the fourteenth I1- site, I1- is bonded in a 2-coordinate geometry to two Y3+ atoms. In the fifteenth I1- site, I1- is bonded in a distorted bent 150 degrees geometry to two Y3+ atoms. In the sixteenth I1- site, I1- is bonded in a distorted L-shaped geometry to two Y3+ atoms. In the seventeenth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the eighteenth I1- site, I1- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the nineteenth I1- site, I1- is bonded in a 1-coordinate geometry to three Y3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn3(PO4)4 by Materials Project

Li3Mn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.93–2.27 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.92–2.25 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.89–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.88–2.21 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 MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 1.94–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.90–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.90–2.32 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.88–2.33 Å. There are nine inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO5 square pyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.34 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO5 square pyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.31 Å. In the third Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mn–O bond distances ranging from 1.90–2.05 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO5 square pyramid, corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.52 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO5 square pyramid, corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.55 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.33 Å. In the seventh Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of Mn–O bond distances ranging from 1.87–2.17 Å. In the eighth Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.90–2.05 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.92–2.35 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–51°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–50°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–50°. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 32–50°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. There are for

36 MATERIALS SCIENCE↗

Materials Data on Na8In6Au11 by Materials Project

Na8Au11In6 is beta Plutonium-derived structured and crystallizes in the orthorhombic Pbcm space group. The structure is three-dimensional. there are five inequivalent Na sites. In the first Na site, Na is bonded in a 7-coordinate geometry to two equivalent Na, seven Au, and two In atoms. There are one shorter (3.27 Å) and one longer (3.53 Å) Na–Na bond lengths. There are a spread of Na–Au bond distances ranging from 3.21–3.44 Å. There are one shorter (3.38 Å) and one longer (3.44 Å) Na–In bond lengths. In the second Na site, Na is bonded in a 10-coordinate geometry to three Na, six Au, and six In atoms. The Na–Na bond length is 3.33 Å. There are a spread of Na–Au bond distances ranging from 3.17–3.39 Å. There are a spread of Na–In bond distances ranging from 3.33–3.72 Å. In the third Na site, Na is bonded in a 11-coordinate geometry to nine Au and three In atoms. There are a spread of Na–Au bond distances ranging from 3.18–3.73 Å. There are a spread of Na–In bond distances ranging from 3.38–3.44 Å. In the fourth Na site, Na is bonded in a 12-coordinate geometry to two equivalent Na, nine Au, and three In atoms. There are one shorter (3.19 Å) and one longer (3.56 Å) Na–Na bond lengths. There are a spread of Na–Au bond distances ranging from 3.25–3.53 Å. There are two shorter (3.32 Å) and one longer (3.41 Å) Na–In bond lengths. In the fifth Na site, Na is bonded in a 11-coordinate geometry to two equivalent Na, nine Au, and five In atoms. There are a spread of Na–Au bond distances ranging from 3.24–3.50 Å. There are a spread of Na–In bond distances ranging from 3.23–3.52 Å. There are seven inequivalent Au sites. In the first Au site, Au is bonded in a 1-coordinate geometry to five Na, five Au, and two equivalent In atoms. There are a spread of Au–Au bond distances ranging from 2.95–3.02 Å. There are one shorter (2.68 Å) and one longer (2.94 Å) Au–In bond lengths. In the second Au site, Au is bonded in a 12-coordinate geometry to six Na, four Au, and two In atoms. There are two shorter (2.96 Å) and one longer (2.97 Å) Au–Au bond lengths. There are one shorter (2.76 Å) and one longer (2.90 Å) Au–In bond lengths. In the third Au site, Au is bonded in a 12-coordinate geometry to six Na, four Au, and two In atoms. There are one shorter (2.90 Å) and two longer (2.99 Å) Au–Au bond lengths. There are one shorter (2.79 Å) and one longer (2.86 Å) Au–In bond lengths. In the fourth Au site, Au is bonded in a 12-coordinate geometry to six Na, three Au, and three In atoms. There are one shorter (2.95 Å) and one longer (2.97 Å) Au–Au bond lengths. There are a spread of Au–In bond distances ranging from 2.79–2.91 Å. In the fifth Au site, Au is bonded in a 12-coordinate geometry to six Na, four Au, and two In atoms. There are one shorter (2.76 Å) and one longer (2.88 Å) Au–In bond lengths. In the sixth Au site, Au is bonded in a 12-coordinate geometry to five Na, three Au, and four In atoms. There are one shorter (2.95 Å) and one longer (3.27 Å) Au–Au bond lengths. There are a spread of Au–In bond distances ranging from 2.79–3.05 Å. In the seventh Au site, Au is bonded in a 12-coordinate geometry to five Na, three Au, and four In atoms. There are a spread of Au–In bond distances ranging from 2.73–3.06 Å. There are four inequivalent In sites. In the first In site, In is bonded in a 12-coordinate geometry to five Na and five Au atoms. In the second In site, In is bonded in a 12-coordinate geometry to five Na and five Au atoms. In the third In site, In is bonded to five Na and seven Au atoms to form distorted corner-sharing InNa5Au7 cuboctahedra. In the fourth In site, In is bonded in a 5-coordinate geometry to five Na and four Au atoms.

36 MATERIALS SCIENCE↗

Materials Data on V3O7 by Materials Project

V3O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.00 Å. In the second V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.01 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.06 Å. In the fourth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.01 Å. In the fifth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the sixth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the seventh V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of V–O bond distances ranging from 1.76–2.05 Å. In the eighth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. In the ninth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.07 Å. In the tenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the eleventh V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. In the twelfth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.70–2.01 Å. In the thirteenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.67–1.96 Å. In the fourteenth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.07 Å. In the fifteenth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of V–O bond distances ranging from 1.75–2.07 Å. In the sixteenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. In the seventeenth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form corner-sharing VO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of V–O bond distances ranging from 1.76–2.05 Å. In the eighteenth V+4.67+ site, V+4.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of V–O bond distances ranging from 1.61–1.97 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the sixteenth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the seventeenth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the twenty-first O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms. In the thirtieth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three V+4.67+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three V+4.67+ atoms. In the thirty-fourth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to two V+4.67+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.67+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to two equivalent V+4.67+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the fortieth O2- site, O2- is bonded in a single-bond geometry to one V+4.67+ atom. In the forty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two V+4.67+ atoms. In the forty-second O2- site, O2- is bonded in a distorted linear geometry to two V+4.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4In6O13 by Materials Project

Ba4In6O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–3.11 Å. In the second Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–3.10 Å. In the third Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.09 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–3.12 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.82–3.10 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.10 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.10 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–3.10 Å. There are twelve inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with six InO5 trigonal bipyramids, and an edgeedge with one InO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 7°. There are a spread of In–O bond distances ranging from 2.09–2.36 Å. In the second In3+ site, In3+ is bonded to five O2- atoms to form distorted InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with four InO5 trigonal bipyramids, and edges with three InO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of In–O bond distances ranging from 2.07–2.36 Å. In the third In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with six InO5 trigonal bipyramids, and an edgeedge with one InO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 8°. There are a spread of In–O bond distances ranging from 2.09–2.36 Å. In the fourth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four InO6 octahedra and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of In–O bond distances ranging from 2.10–2.51 Å. In the fifth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four InO6 octahedra and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of In–O bond distances ranging from 2.10–2.50 Å. In the sixth In3+ site, In3+ is bonded to five O2- atoms to form distorted InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with six InO5 trigonal bipyramids, and an edgeedge with one InO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 8°. There are a spread of In–O bond distances ranging from 2.09–2.38 Å. In the seventh In3+ site, In3+ is bonded to five O2- atoms to form distorted InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with four InO5 trigonal bipyramids, and edges with three InO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of In–O bond distances ranging from 2.07–2.36 Å. In the eighth In3+ site, In3+ is bonded to five O2- atoms to form distorted InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with six InO5 trigonal bipyramids, and an edgeedge with one InO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 8°. There are a spread of In–O bond distances ranging from 2.09–2.37 Å. In the ninth In3+ site, In3+ is bonded to five O2- atoms to form distorted InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with four InO5 trigonal bipyramids, and edges with three InO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of In–O bond distances ranging from 2.07–2.37 Å. In the tenth In3+ site, In3+ is bonded to five O2- atoms to form distorted InO5 trigonal bipyramids that share a cornercorner with one InO6 octahedra, corners with four InO5 trigonal bipyramids, and edges with three InO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 10°. There are a spread of In–O bond distances ranging from 2.07–2.35 Å. In the eleventh In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four InO6 octahedra and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of In–O bond distances ranging from 2.10–2.51 Å. In the twelfth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with four InO6 octahedra and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of In–O bond distances ranging from 2.10–2.50 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the third O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with seven OBaIn3 tetrahedra, and an edgeedge with one OBaIn3 tetrahedra. The corner-sharing octahedra tilt angles range from 28–66°. In the fourth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with five OBaIn3 tetrahedra, corners with two equivalent OIn4 trigonal pyramids, and an edgeedge with one OIn4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–70°. In the fifth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with five OBaIn3 tetrahedra, corners with two equivalent OIn4 trigonal pyramids, and an edgeedge with one OIn4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–71°. In the sixth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with seven OBaIn3 tetrahedra, and an edgeedge with one OBaIn3 tetrahedra. The corner-sharing octahedra tilt angles range from 28–66°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the eighth O2- site, O2- is bonded to four In3+ atoms to form distorted OIn4 trigonal pyramids that share corners with four OBaIn3 tetrahedra, edges with two OBaIn3 tetrahedra, and edges with two equivalent OIn4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four In3+ atoms to form distorted OIn4 trigonal pyramids that share corners with four OBaIn3 tetrahedra, edges with two OBaIn3 tetrahedra, and edges with two equivalent OIn4 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with seven OBaIn3 tetrahedra, and an edgeedge with one OBaIn3 tetrahedra. The corner-sharing octahedra tilt angles range from 27–66°. In the eleventh O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the twelfth O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the thirteenth O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the fifteenth O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the sixteenth O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the twentieth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with five OBaIn3 tetrahedra, corners with two equivalent OIn4 trigonal pyramids, and an edgeedge with one OIn4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–71°. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two In3+ atoms. In the twenty-third O2- site, O2- is bonded to four Ba2+ and two In3+ atoms to form distorted OBa4In2 octahedra that share corners with two OBa4In2 octahedra, corners with four OBaIn3 tetrahedra, edges with two OBa4In2 octahedra, and faces with four OBa4In2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the twenty-fourth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with seven OBaIn3 tetrahedra, and an edgeedge with one OBaIn3 tetrahedra. The corner-sharing octahedra tilt angles range from 28–66°. In the twenty-fifth O2- site, O2- is bonded to one Ba2+ and three In3+ atoms to form distorted OBaIn3 tetrahedra that share corners with four OBa4In2 octahedra, corners with five OBaIn3 tetrahedra, corners with two equivalent OIn4 trigonal pyramids, and an edgeedge with one OIn4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 24–71°. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and

36 MATERIALS SCIENCE↗

Materials Data on Ti2Sn3 by Materials Project

Ti2Sn3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ti sites. In the first Ti site, Ti is bonded in a 8-coordinate geometry to eight Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.80–3.12 Å. In the second Ti site, Ti is bonded in a 11-coordinate geometry to seven Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.86–2.99 Å. In the third Ti site, Ti is bonded in a 11-coordinate geometry to seven Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.85–2.99 Å. In the fourth Ti site, Ti is bonded in a 11-coordinate geometry to seven Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.86–3.01 Å. In the fifth Ti site, Ti is bonded in a 8-coordinate geometry to eight Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.80–3.11 Å. In the sixth Ti site, Ti is bonded in a 11-coordinate geometry to seven Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.86–3.00 Å. In the seventh Ti site, Ti is bonded in a 8-coordinate geometry to eight Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.80–3.12 Å. In the eighth Ti site, Ti is bonded in a 8-coordinate geometry to eight Sn atoms. There are a spread of Ti–Sn bond distances ranging from 2.80–3.12 Å. There are twelve inequivalent Sn sites. In the first Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the second Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the third Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the fourth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the fifth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the sixth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the seventh Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the eighth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the ninth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the tenth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the eleventh Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms. In the twelfth Sn site, Sn is bonded in a 5-coordinate geometry to five Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ce6In14Pt11 by Materials Project

Ce6Pt11In14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ce sites. In the first Ce site, Ce is bonded in a 4-coordinate geometry to two equivalent Ce, six Pt, and seven In atoms. There are one shorter (3.50 Å) and one longer (3.51 Å) Ce–Ce bond lengths. There are a spread of Ce–Pt bond distances ranging from 3.09–3.48 Å. There are a spread of Ce–In bond distances ranging from 3.23–3.76 Å. In the second Ce site, Ce is bonded in a 4-coordinate geometry to six Pt and one In atom. There are a spread of Ce–Pt bond distances ranging from 3.08–3.43 Å. The Ce–In bond length is 3.22 Å. In the third Ce site, Ce is bonded in a 1-coordinate geometry to five Pt and two equivalent In atoms. There are a spread of Ce–Pt bond distances ranging from 2.99–3.30 Å. There are one shorter (3.30 Å) and one longer (3.31 Å) Ce–In bond lengths. In the fourth Ce site, Ce is bonded in a 1-coordinate geometry to five Pt and nine In atoms. There are a spread of Ce–Pt bond distances ranging from 3.02–3.31 Å. There are a spread of Ce–In bond distances ranging from 3.28–3.69 Å. In the fifth Ce site, Ce is bonded in a 4-coordinate geometry to two equivalent Ce and five Pt atoms. There are a spread of Ce–Pt bond distances ranging from 2.83–3.21 Å. In the sixth Ce site, Ce is bonded in a 4-coordinate geometry to five Pt atoms. There are a spread of Ce–Pt bond distances ranging from 2.82–3.25 Å. There are eleven inequivalent Pt sites. In the first Pt site, Pt is bonded in a 9-coordinate geometry to four Ce and five In atoms. There are a spread of Pt–In bond distances ranging from 2.79–2.89 Å. In the second Pt site, Pt is bonded in a 9-coordinate geometry to two equivalent Ce and seven In atoms. There are a spread of Pt–In bond distances ranging from 2.74–2.97 Å. In the third Pt site, Pt is bonded in a 10-coordinate geometry to two equivalent Ce, one Pt, and seven In atoms. The Pt–Pt bond length is 2.79 Å. There are a spread of Pt–In bond distances ranging from 2.77–3.02 Å. In the fourth Pt site, Pt is bonded in a 9-coordinate geometry to three Ce and six In atoms. There are a spread of Pt–In bond distances ranging from 2.83–2.98 Å. In the fifth Pt site, Pt is bonded in a 10-coordinate geometry to four Ce, two Pt, and four In atoms. The Pt–Pt bond length is 2.77 Å. There are a spread of Pt–In bond distances ranging from 2.87–3.08 Å. In the sixth Pt site, Pt is bonded in a 9-coordinate geometry to four Ce and five In atoms. There are a spread of Pt–In bond distances ranging from 2.80–2.90 Å. In the seventh Pt site, Pt is bonded in a 10-coordinate geometry to two equivalent Ce, one Pt, and seven In atoms. The Pt–Pt bond length is 2.78 Å. There are a spread of Pt–In bond distances ranging from 2.78–2.99 Å. In the eighth Pt site, Pt is bonded in a 10-coordinate geometry to four Ce, two Pt, and four In atoms. The Pt–Pt bond length is 2.77 Å. There are a spread of Pt–In bond distances ranging from 2.87–3.10 Å. In the ninth Pt site, Pt is bonded in a 9-coordinate geometry to three Ce and six In atoms. There are a spread of Pt–In bond distances ranging from 2.82–2.96 Å. In the tenth Pt site, Pt is bonded in a 8-coordinate geometry to two Ce, two Pt, and four In atoms. There are a spread of Pt–In bond distances ranging from 2.76–2.78 Å. In the eleventh Pt site, Pt is bonded in a 9-coordinate geometry to two equivalent Ce and seven In atoms. There are a spread of Pt–In bond distances ranging from 2.73–2.95 Å. There are fourteen inequivalent In sites. In the first In site, In is bonded in a 4-coordinate geometry to one Ce and four Pt atoms. In the second In site, In is bonded in a 4-coordinate geometry to four Pt atoms. In the third In site, In is bonded in a 5-coordinate geometry to five Pt atoms. In the fourth In site, In is bonded in a 3-coordinate geometry to three Ce and five Pt atoms. In the fifth In site, In is bonded in a 12-coordinate geometry to three Ce and five Pt atoms. In the sixth In site, In is bonded in a 4-coordinate geometry to one Ce and four Pt atoms. In the seventh In site, In is bonded in a 12-coordinate geometry to five Pt atoms. In the eighth In site, In is bonded in a 3-coordinate geometry to three Ce and five Pt atoms. In the ninth In site, In is bonded in a 4-coordinate geometry to two equivalent Ce and four Pt atoms. In the tenth In site, In is bonded in a 5-coordinate geometry to two Ce and five Pt atoms. In the eleventh In site, In is bonded in a 4-coordinate geometry to two equivalent Ce and four Pt atoms. In the twelfth In site, In is bonded in a 4-coordinate geometry to four Pt atoms. In the thirteenth In site, In is bonded in a 4-coordinate geometry to one Ce and four Pt atoms. In the fourteenth In site, In is bonded in a 4-coordinate geometry to one Ce and four Pt atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ce3Sb5Pd6 by Materials Project

Ce3Pd6Sb5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Ce sites. In the first Ce site, Ce is bonded in a 12-coordinate geometry to eight Pd and six Sb atoms. There are a spread of Ce–Pd bond distances ranging from 3.23–3.67 Å. There are four shorter (3.29 Å) and two longer (3.32 Å) Ce–Sb bond lengths. In the second Ce site, Ce is bonded in a 12-coordinate geometry to eight Pd and six Sb atoms. There are a spread of Ce–Pd bond distances ranging from 3.24–3.66 Å. There are a spread of Ce–Sb bond distances ranging from 3.28–3.32 Å. In the third Ce site, Ce is bonded in a 12-coordinate geometry to eight Pd and six Sb atoms. There are a spread of Ce–Pd bond distances ranging from 3.23–3.66 Å. There are a spread of Ce–Sb bond distances ranging from 3.28–3.32 Å. In the fourth Ce site, Ce is bonded in a 8-coordinate geometry to ten Pd and six Sb atoms. There are a spread of Ce–Pd bond distances ranging from 3.37–3.64 Å. There are two shorter (3.28 Å) and four longer (3.33 Å) Ce–Sb bond lengths. In the fifth Ce site, Ce is bonded in a 8-coordinate geometry to ten Pd and six Sb atoms. There are a spread of Ce–Pd bond distances ranging from 3.37–3.64 Å. There are two shorter (3.27 Å) and four longer (3.33 Å) Ce–Sb bond lengths. In the sixth Ce site, Ce is bonded in a 12-coordinate geometry to eight Pd and six Sb atoms. There are a spread of Ce–Pd bond distances ranging from 3.23–3.66 Å. There are a spread of Ce–Sb bond distances ranging from 3.28–3.32 Å. There are twelve inequivalent Pd sites. In the first Pd site, Pd is bonded in a 12-coordinate geometry to four Ce, two equivalent Pd, and four Sb atoms. Both Pd–Pd bond lengths are 3.06 Å. There are a spread of Pd–Sb bond distances ranging from 2.69–2.73 Å. In the second Pd site, Pd is bonded in a 12-coordinate geometry to four Ce, two equivalent Pd, and four Sb atoms. Both Pd–Pd bond lengths are 3.05 Å. There are a spread of Pd–Sb bond distances ranging from 2.69–2.74 Å. In the third Pd site, Pd is bonded in a 10-coordinate geometry to five Ce, one Pd, and four Sb atoms. The Pd–Pd bond length is 2.79 Å. There are a spread of Pd–Sb bond distances ranging from 2.60–2.73 Å. In the fourth Pd site, Pd is bonded in a 10-coordinate geometry to four Ce, two Pd, and four Sb atoms. The Pd–Pd bond length is 2.79 Å. All Pd–Sb bond lengths are 2.82 Å. In the fifth Pd site, Pd is bonded in a 10-coordinate geometry to four Ce, two Pd, and four Sb atoms. Both Pd–Pd bond lengths are 2.79 Å. All Pd–Sb bond lengths are 2.82 Å. In the sixth Pd site, Pd is bonded in a 10-coordinate geometry to five Ce, one Pd, and four Sb atoms. There are a spread of Pd–Sb bond distances ranging from 2.60–2.73 Å. In the seventh Pd site, Pd is bonded in a 10-coordinate geometry to five Ce, one Pd, and four Sb atoms. There are a spread of Pd–Sb bond distances ranging from 2.60–2.74 Å. In the eighth Pd site, Pd is bonded in a 12-coordinate geometry to four Ce, four Pd, and four Sb atoms. Both Pd–Pd bond lengths are 3.05 Å. There are two shorter (2.69 Å) and two longer (2.80 Å) Pd–Sb bond lengths. In the ninth Pd site, Pd is bonded in a 12-coordinate geometry to four Ce, two equivalent Pd, and four Sb atoms. There are a spread of Pd–Sb bond distances ranging from 2.69–2.73 Å. In the tenth Pd site, Pd is bonded in a 10-coordinate geometry to five Ce, one Pd, and four Sb atoms. There are a spread of Pd–Sb bond distances ranging from 2.60–2.73 Å. In the eleventh Pd site, Pd is bonded in a 12-coordinate geometry to four Ce, four Pd, and four Sb atoms. Both Pd–Pd bond lengths are 3.05 Å. There are a spread of Pd–Sb bond distances ranging from 2.69–2.80 Å. In the twelfth Pd site, Pd is bonded in a 12-coordinate geometry to four Ce, two equivalent Pd, and four Sb atoms. There are a spread of Pd–Sb bond distances ranging from 2.69–2.74 Å. There are ten inequivalent Sb sites. In the first Sb site, Sb is bonded in a 8-coordinate geometry to three Ce and five Pd atoms. In the second Sb site, Sb is bonded in a 9-coordinate geometry to four Ce and five Pd atoms. In the third Sb site, Sb is bonded in a 8-coordinate geometry to four Ce and four Pd atoms. In the fourth Sb site, Sb is bonded in a 8-coordinate geometry to three Ce and five Pd atoms. In the fifth Sb site, Sb is bonded in a 8-coordinate geometry to four Ce and four Pd atoms. In the sixth Sb site, Sb is bonded in a 8-coordinate geometry to three Ce and five Pd atoms. In the seventh Sb site, Sb is bonded in a 8-coordinate geometry to three Ce and five Pd atoms. In the eighth Sb site, Sb is bonded in a 9-coordinate geometry to four Ce and five Pd atoms. In the ninth Sb site, Sb is bonded in a 9-coordinate geometry to four Ce and five Pd atoms. In the tenth Sb site, Sb is bonded in a 9-coordinate geometry to four Ce and five Pd atoms.

36 MATERIALS SCIENCE↗